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WARNING!WARNING!
This document is copyright 1997 by Pressure Vessels Inc., and
may not be reproduced, stored in a retrieval system, or
transmitted in any form or by any means electronic, mechanical,
recording or otherwise, without prior written permission.
It is intended for single user use. Information about site licensesand network use may be obtained by contacting:
Pressure Vessels Incorporated
P.O. Box 35365
Tulsa, OK 74153 USA
www.pressure-vessel.com
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P V
HT e n t hd i t i o
withforeword byP B
Professor of Chemical Engineering
University of Tulsa
Tulsa, Oklahoma
E M
PRESSURE VESSELPUBLISHING, INC.P.O. Box 35365 “ Tulsa, OK 74153
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FOREWORD
Engineers who design equipment for the chemical process industry
are sooner or later confronted with the design of pressure vessels and
mounting requirements for them. This is very often a frustrating
experience for anyone who has not kept up with current literature
in the field of code requirements and design equations.
First he must familiarize himself with the latest version of the
applicable code. Then he must search the literature for techniques
used in design to meet these codes. Finally he must select material
properties and dimensional data from various handbooks and company
catalogs for use in the design equations.
Mr. Megyesy has recognized this problem. For several years he
has been accumulating data on code requirements and calculational
methods. He has been presenting this information first in the form
of his “Calculation Form Sheets” and now has put it all together inone place in the Pressure Vessel Handbook.
I believe that this fills a real need in the pressure vessel industry
and that readers will find it extremely useful.
Paul Buthod
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PREFACE
This reference book is prepared for the purpose of making formulas,
technicaldata,designand construction methods readily available for thedesigner, detailer, Iayoutmen and others dealing with pressure vessels.
Practical men in this industry often have difficulty finding the required
data and solutions, these being scattered throughout extensive literature
or advanced studies. The author’s aim was to bring together all of the
above material under one cover and present it in a convenient form.
The design procedures and formulas of the ASME Code for Pressure
Vessels, Section VIII Division I have been utilized as well as those
generally accepted sources which are not covered by this Code. From
among the alternative construction methods described by the Code the
author has selected those which are most frequently used in practice.
In order to provide the greatest serviceability with this Handbook,
rarely occurring loadings, special construction methods or materials have
been excluded from its scope. Due to the same reason this Handbook
deals only with vessels constructed from ferrous material by welding,
since the vast majority of the pressure vessels are in this category.
A large part of this bookwas taken from the works ofothers, with some
of the material placed in different arrangement, and some unchanged.
The author wishes to acknowledge his indebtedness to ProfessorS4ndorKalinszky, J&os Bodor, Lasz16F61egyhiizyand J6zsef Gyorii for
their material and valuable suggestions, to the American Society of
Mechanical Engineers and to the publishers, who generously permittedthe author to include material from their publications.
The authorwishesalso to thank all thosewhohelpedto improvethis
new edition by their suggestions and corrections.
Suggestions and criticism concerning some errors which may remain
in spite of all precautions shall be greatly appreciated. They contribute to
the further improvement of this Handbook.
Eugene F. Megyesy
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9
CONTENTS
PARTI Design and Construction of Pressure Vessels ....................................11
PARTII Geometry and Layout of Pressure Vessels ...................................... 25’7
PARTIII Measures and Weights .................................................................... 321
PARTIV Design of Steel Structures .............................................................. 447
PARTV Miscellaneous ................................................................................. 465
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PART L
DESIGN AND CONSTRUCTION OF PRESSURE VESSEL
1. VesselsUnderinternalPressure_~__~~_~~~~~~~..~~~~~ti~ti~~~~. 15StressesinCylindricalShel~Definitions,Formulas,PressureofFluid, Pressure-TemperatureRatings of American Standard,CarbonSteelPipe Flanges.
2. Vessels Under External Pressure .......................................................... 31Definitions, Formulas, Minimum Required TicknessofCylin-dricalSheH,ChafiforDeteminingThicknessofCylindrical andSphericalVesselsunderExternal PressurewhenConstructedofCarbon Steel,
3. Design ofTall Towers .......................................................................... 52Wind Load, Weight of Vessel, Seismic Load, Vibration, Eccen-tric Load, Elastic Stability, Deflection, Combination of Stresses,Design of Skirt Support, Design of Anchor Bolts (approximatemethod), Design of Base Ring (approximate method), Design ofAnchor Bold and Base Ring,Anchor BoltChair for Tall Towers.
4. Vessel Suppotis ..................................................................................... 86Stresses inLargeHorizontal Vessels Supported byTwo Saddles,Stresses in Vessels on Leg Support, Stresses in Vessels Due toLug support.
5. Openings ............................................................................................... 122Inspection Openings, Openings without Reinforcing Pad, Open-
ing with Reinforcing Pad, Extension of Openings, Reinforce-ment ofOpenings, Strength ofAttachments, Joining Openings toVessels, Length of Couplings and Pipes for Openings.
6. Nozzle Loads ........................................................................................ 153
7. Reinforcement at the Junction of Cone to Cylinder .............................. 159
8. Welding of Pressure Vessels ................................................................. 170Welded Joints, But Welded Joint of Plates of Unequal Thick-nesses, Application of Welding Symbols.
9. Regulations, Specifications ................................................................... 181Code Rules Related to Various Services, Code Rules Related toVarious Plate Thicknesses of Vessel, Tanks and Vessels Con-taining Flammable and Combustible Liquids, Properties ofMaterials, Description of Materials, Specification for The De-sign and Fabrication of Pressure Vessels, Fabrication Toler-ances.
10. Materials of Foreign Countries ............................................................. 194
11. Welded Tanks ....................................................................................... 204
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13. Rectangular Tanks ................................................................................ 212
14. Corrosion .............................................................................................. 221
15. Miscellaneous ... . .. . ... .. . . . ..~...o..o...u,mv..u.mv..~..u...i..~..~..~..u..~ 232Fabricating Capacities, Pipe and Tube Bending, Pipe Engage-merit, Drill Sizes for Pipe Taps, Bend Allowances, LengthofStud Bolts, Pressure Vessel Detailing, Preferred Locations,CommonErrors,LiRingAttachments, SafeLoadsforRopesandChains, Transportation ofVessels.
16. Painting Steel Surfaces ..~...o..o...~....a...~. U.V......O... 247
1NREFERENCESTHROUGHOUTTHISBOOK CODE sTANDSF0RASME(AMERICANS O C I E T Y FE C H A N I C A LN G I N E E R S )O I L E RNP R E S S U R EE S S E LO D EE C T I O NI I IU L E SO RO N S T R U C T I O NO FR E S S U R EE S S E L S ,I V I S I O N— A NM E R I C A NT A N D A R D .
1 E
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S P V
Pressure vessels are subject to various loadings, which exert stresses ofdifferent intensities in the vessel components. The category and intensity ofstresses are the function of the nature of loadings, the geometry and construc-tion of the vessel components.
LOADINGS (Code UG-22)a,
b.
c.
d.
e.
f.
g“
Internal or external pressure
Weight of the vessel and contents
Staticreactions fromattachedequipment,piping, lining, insulation, internals,supports
Cyclic and dynamic reactions due to pressure or thermal variations
Wind pressure and seismic forces
Impact reactions due to fluid shock
Temperature gradients and differential thermal expansion
STRESSES (Code UG-23)
a. Tensile stress
b. Longitudinal compressive stress
c. General primary membrane stressinduced by any combination ofloadings. Primary membranestress plus primary bending stressinduced by combination of load-ings, except as provided in d. be-low.
d. General primary membrane stressinduced by combination of earth-quake orwind pressure with other
loadings (See definitions pagesbeginn-ing473.)
MAXIMUMALLOWABLE STRESS
Sa
The smaller of S. or the value offactor B determined by the proceduredescribed in Code UG 23 (b) (2)
S
1.5 Sa
1.2 times the stress permitted ina., b.,or c. This rule applicable to stressesexerted by internal or external pres-
sure or axial compressive load on acylinder.
Seismic force and wind pressure need not be considered to act simulta-neously.
S.= Maximum allowable stress in tension for carbon and low alloy steelCode Table UCS-23; for high alloy steel Code Table UHA-23., psi. (Seeproperties of materials page 180- 184,)
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/ ,
STRESSES IN CYLINDRICAL SHELL
Uniforminternalorexternalpressureinducesinthelongitudinalseamtwotimeslargerunitstressthan in the circumferentialseambecauseof the geometryof the cylinder.
A vesselunder external pressure, when other forces (wind, earthquake, etc.) are notfactors, must be designed to resist the circumferential buckling o n l yho
p r o v i d e sh ee t h o d fe s i g n ’ oe e th i se q u i r e m e n t .h e nt h eo a d i n
present, these combined loadings m a yo v e r nn de a v i e rl a t ei le r e q u i
t h a nh el a t eh i c ha sa t i s f a c t o r y oe s i s th ei r c u m f e r e n t i a lu c k l i nn l
T h eo m p r e s s i v et r e s su e ox t e r n a lr e s s u r en de n s i l et r e s su e on t e r n ar e s s
s h a l l ee t e r m i n e d yh eo r m u l a s :
$ 3
tF O R M U L A S
+C I R C U M F E R E N T I A LL O N G I T U D I N A L. .
J O I N T O I N
Ds, .$ s ~ = ~
,R ~
N O T A T I O ND= M e a ni a m e t e r fe s s e l ,n c h e
S2 P= I n t e r n a l rx t e r n a lr e s s u r e ,s
‘ 1, = Longitudinal stress, psi
s, s* = Circumferential (hoop) stress, psi‘/ [ = Thickness of shell, corrosion allowance
excluded, inches
EXAMPLE
;iven D = 96 inches PD 15 X 96P= 15psi s, = ~ = ~ = 1440 psif = 0.25 inches
s* = $ =15 X 96
= 2 8 8s2 X 0.25
F o ro w e r sn d e rn t e r n a lr e s s u r en di n do a dh er i t i c a le i g h tb o v eh i co m p r
s i v et r e s so v e r n sa n ep p r o x i m a t e d yh eo r m u I a :
H=%3 2 (
w h e r e= C r i t i c a le i g h t fo w e r ,t
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I N R
1. OPERATING PRESSURE
The pressure which is required for the process, served by the vessel, at whichthe vessel is normally operated.
2. DESIGN PRESSURE
The pressure used inthe design ofa vessel. It isrecommended to design a vesseland its parts for a higher pressure than the operating pressure. Adesign pressurehigher than the operating pressure with 30 psi or 10 percent, whichever is thegreater, will satis@this requirement, The pressure of the fluid and other contentsof the vessel should also be taken into consideration. See tables on page 29 forpressure of fluid.
3. MAXIMUM ALLOWABLE WORKING PRESSURE
The internal pressure atwhich the weakest element of the vessel is loaded to theultimate permissible point, when the vessel is assumed to be:
(a) in corroded condition(b) under the effect ofa designated temperature(c) in normal operating position at the top(d) undertheeffectof otherloadings(wind load, external pressure, hydro-
static pressure, etc.) which are additive to the internal pressure.
When calculations are not made, the design pressure may be used as themaximum allowable working pressure (MAWP) code 3-2.
A common practice followed by many users and manufacturers of pressurevessels isto limit themaximum allowable working pressure bythe head or shell,not by small elements as flanges, openings, etc.
See tables on page 28 for maximum allowable pressure for flanges.
See tables on page 142 for maximum allowable pressure for pipes.
The term, maximum allowable pressure, new and cold, is used very oflen, Itmeans the pressure at which the weakest element of the vessel is loaded to theultimate permissible point, when the vessel:
(a) is not corroded (new)
(b) t h ei t(
and the other conditions (c and d above) also need not to be taken intoconsideration.
4. HYDROSTATIC TEST PRESSURE
O n end one-half times the maximum allowable working pressure or the designpressure to bemarked onthevessel whencalculations are not made to determinethe maximum allowable working pressure.
Ifthe stress value of the vessel material at the design temperature is less than atthe test temperature, the hydrostatic test pressure should be increased propor-tionally.
H y d r o s t a t i ce s th a l l eo n d u c t e df l e rl la b r i c a t i o na se e no m p l e t e d
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I nh i sa s e ,h ee s tressure shall be:
1 . 5( M a x .l l o w ..Press. xStressValueS Temperature
(OrDesignPress.) StressValueSAt DesignTemperature
V e s s e l sh e r eh ea x i m u ml l o w a b l eo r k i n gr e s s u r ei m i t e dt h
f l a n g e s ,h a l l ee s t e d tp r e s s u r eh o w n nh ea b l e :
+P r i m a r ye r v i c e
900 lb
H y d r o s t a t i ce s t fu l t i - c h a m b e re s s e l s :o d eG - 9 9e )
A Pneumatic test may be used in lieu of a hydrostatic test per Code UG-100
P r o o fe s t s os t a b l i s ha x i m u ml l o w a b l eo r k i n gr e s s u r eh eh
s t r e n g t h fn ya r t fh ee s s e la n n o t eo m p u t e di t ha t i s f a c t o
a s s u r a n c e fa f e t y ,r e s c r i b e d no d eG - 1 0 1 .
5. MAXIMUMALLOWABLESTRESS VALUES
Themaximuma l l o w a b l ee n s i l et r e s sa l u e se r m i t t e do ri f f e r e n ta t e r i aa r ei v e n na b l e na g e8 9 .h ea x i m u ml l o w a b l eo m p r e s s i v et r et o es e d nh ee s i g n fy l i n d r i c a lh e l l su b j e c t e d oo a d i n gh ar o d ul o n g i t u d i n a lo m p r e s s i v et r e s s nh eh e l lh a l l ee t e r m i n e dc c o r d i nC o d ea r .C - 2 3 , ,d .
6. JOINT EFFICIENCYThe efficiency of different types of welded joints are given in table on page172. The efficiency of seamless heads is tabulated on page 176.
T h eo l l o w i n ga g e so n t a i no r m u l a ss e d oo m p u t eh ee q u i r ea
t h i c k n e s sn dh ea x i m u ml l o w a b l eo r k i n gr e s s u r eo ho a
f r e q u e n t l ys e dy p e s fh e l ln de a d .h eo r m u l a s fy l i n d r i c a lh e lr
g i v e no rh e. o ~ g i t u d i n a le a m ,i n c es u a l l yh i so v e r n s .
T h et r e s s nh ei r t he a mi l lo v e r nn l yh e nh ei r c u m f e r e n t i a lo i
e f f i c i e n c y se s sh a nn e - h a l fh eo n g i t u d i n a lo i n tf f i c i e n c y ,h e
besides the internal pressure additional loadings(wind load, reaction of
s a d d l e s )r ea u s i n go n g i t u d i n a le n d i n g re n s i o n .h ee a s o noit h a th et r e s sr i s i n g nh ei r t he a mo u n der s q u a r en c hn e - h a l
t h et r e s s nh eo n g i t u d i n a le a m .
T h eo r m u l a so rh ei r t he a mc c o r d i n g l y :
tPR
= 24SE+ 0.4P
Seenotation on page 22.
P=2SEt
R – 0.4t
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I N RFORMULAS IN TERMS OF INSJDEDIMENSIONS
NOTATIONE = J o i n tf f i c i e n c y .a g7
P = D e s i g nr e s s u r e ra x .l l o w a b l e= I n s i d ea d i u s ,n c h ew o r k i n gr e s s u r es i= I n s i d ei a m e t e r ,n c h e
S = S t r e s sa l u e fa t e r i a ls i ,a g e= t h i c k n e s s ,n c h eC A .C o r r o s i o nl l o w a n c e .n c h
ACYLINDRICAL SHELL ( L O NE A M
e
t
PRSE t
f= SE– O.6P PR = m-m
1. U s u a l l yh et r e s s nh eo n ge a mo v e r n ip r e c e d i n ga g e .
2 .h e nh ea l lh i c k n e s sx c e e d sna lt hn sr a d i u s re x c e e d s. 3 8 5E ,ho r m u li vt h eo d ep p e n d i x- 2h a l l ep p l i e d
B SPHERE HEMISPHERICAL HEAD
PR p= 2SE t
‘= 2SE–0,2P R +0.2t
r
1- -1R
-–f
1. F o re a d si t h o u ts t r a i g h tl a n g e ,s hf f i c io fh ee a d oh e l lo i n t f {e sh ahf f i c io fh ee a m s nh ee a d .
2 .h e nh ea l lh i c k n e s sx c e e d s. 3 5o P e x c e0 . 6 6 5E ,h eo r m u l a si v e nho dp p e nI - 3 ,h a l l ep p l i e d .
.
. 2:1 ELLIPSOIDAL HEAD
IPD
b ‘= 2SE– O.2PP= -Dy;jt
“0 1. F o rl l i p s o i d a le a d s ,h e r eha t it ha j
a n di n o rx i s st h e rh a n :eo dp p e n1 - 4 ( c ) .
/1 = 1>/4
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E X
D E S I G NA T A : E = 1 . 0 0 ,o i n tf f i c i e n c ye a m l e
h e a d sP = p s ie s i g nr e s s u r e= 4 8n c h e sn s i d ea d i u s
S = 1 7 5 0 0s it r e s sa l u e f A= 9 6n c h e sn s i d ei a m e t e r
5 1 5 . 7 0l a t e I5 0 ” F= r e q u i r e da l lh i c k n e s s ,n c h
E = 0 . 8 5 ,f f i c i e n c y fp o t - e x a m i n e d. A .0 . 1 2 5n c h e so r r o s i o nl l o w u n
j o i n t s fh e l ln de m i s .e a d oi no r r o d e do n d i t i o nv a ts h e l l w i t hh eo r r o s i o nl l o w a n
SEEDESIGNDATAABOVE
I)c[crmincIhc rcquird lhicknms, SEE DESIGN[),N”f’AIK)VE
01”o shellfhwrmine the maximum:Ill(nv;Iblef(whingpressure, P
I(K)x 48.1?5 I’br().5()()in thi~k kh{.11wtlrn Ihc tIS<,Il i, in IICW,= = ().325 in.I7500 x 0.85 -- 0.6 x 100 currditi(m.
+ C.A. () 125 in. 17500 x ().X5x ().5(M)P = - 154psi
48 + xin.
fJse: ().50() in, pkrfc
—.
SEE DESIGNDATAABOVE
The head furnishedwithmrtslraigh[ Ilwrge.
Detcrrnirrethe required thickness.
SEE DESIGNL)A’rAABOVE
I d’ ii hemisphericalhead. DetermineIIwmaximumallowuhlcvrn-kingpressure. P
I’or().3125in [hi(k head. when it is in IICNctmdili(m]00 x 48, Izfi
/= = ().16?in.2 x I7500 x 0.85 -- 0.2 x I00 ,?x I7500 x 0.X5x 0.3 I25
p ,.. + IOJ p~iW + 0.2 x (),3I25
+ C.A. 0.125 in.
0.287 in.
Use: ().3125 in MIN. HEAD
SEE DESIGNDATAABOVE
Dctcrrninethe requiredthicknessot’a SCJMICSSllipsoidalhead SEE DESIGNDA’I’AABOVE
100 X 96.25 Determinethe maximumdlmv:iblcU[wkingprcwurc. P— = 0,275 in. for0,275 in. thick. seamlesshead \ ’heni is in corroded
‘ - 2 x 17500 x 1.0 – 0.2 x 100 condition.
+ C.A. 0.125 in, 2 X 17500 X 1,0 X 0.275
in,= 10(1psi
96.?5 + 0.2 x 0.275—
Use: o 437s in, MIN. THK. HEAD
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I NFORMULAS IN TERMS OF INSIDE DIMENS1ONS
NOTATION D = I n s i d ei a m e t en c hP = D e s i g nr e s s u r e ra x .l l o w a b l e= O n ea lhn c I ua
w o r k i n gr e s s u r es in g l e ,e g r e eS = . S t r ; s sa l u e fa t e r i a ls i ,a g e= I n s i d ea d i ud i sn c
r = I n s i d en u c k la d in cE = J o i n tf f i c i e n c y ,a g e7 2= W a l lh i c k n e s sn c hR = I n s i d ea d i u s ,n c h e sC o r r o s i o nl l o w a nn c
1 CONE CONICAL SECTION
2SEt c
‘ = 2o s(SE– O.6P) ‘= D + 1.2t a
A % ~ ‘D
1 .h ea l fp e xn g l e ,n or e a th
2 .h e n a sr e a t e rh a0p e c in a lr e( C o d ep p e n d i x- 5 ( e )
E A S M EL A N G E DNI S HE( T O R I S P H E R I C A LE A
W h e n/1 6 2
0.885PL SEt
f= SE– o. 1 PP=
0.885 L+0.lt
~
< When Vr l e sh a
\PLM 2SEt
‘= 2SE– O.2P ‘= LM+oo2t
V A L U E S FA C T O RM ”
‘ J r. 0 0. 5 0
M3
2
1 3 .
M 1
* : L = D + 2t (see note 2 on f a c
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2
E X
DESIGN DATA: R =48inchesinsideradius*P = lOOpsidesignpressure D = 96inchesnsidediameter*
S = 17500psistressvalueof~ = requiredallthickness,nches
SA515-70plate@650°F L = 30°0nehalfoftheapexangle
E = 0.85,efficiencyfspot-examined t = Resuiredwallthicknessnches
joints C.A = 0,125inchescon-osionallowance
E = 1.00,jointefficiencyfsearnless * incorrodedconditionreaterwiththecorrosionllowance
SEE DESIGN DATAABOVE SEE DESIGN DATAABOVECos30°= 0.866
Determine the maximum allowableDetermine the required thickness, r working pressure, P for 0.500 in. thickof a cone cone, when the vessel is in new
100x96.25 condition.
‘2X 0.866(17500X 2 x xO.85xO.500x0.86696+1.2XOo500Xo.866
=133psi
+C.A. 0,125in.
Use0,500in.plate0.500in.
SEEDESIGN DATAABOVE SEE DESIGN DATAABOVE
L/r = 16$ Determine the maximum allowable
Determine the required thickness, tof aworking pressure, P for 0.6875 in. thickseamless head, when the vessel is in
seamless ASME flanged and dishedhead.
new condition.
0.885X100x96.I25 p. 17500x1,0x0,6875f= =0.486in. 0.885x96+ 0,1 x0,6875
= 141psi17500x1.0-0.1x 100
+C.A. 0.125in.
Use0.625in.plate0.611in.
SEEDESIGNDATAABOVE SEEDESIGNDATAABOVE
Knuckle radius r = 6 in.L/r= ~= (j61
%Knuckle radius r = 6 in. L/r= ~ = 16
~= 1.75 from table. A4= 1.75 from table
Determine the required thickness t of aseamless ASME flanged and dished Determine themaximum allowablehead. working pressure, P for a 0.481 in. thick
100x96,125X1.75seamless head when the vessel is in
t=2 x17500 100
‘0.481 in. corroded condition.
+C.A. 0.125in. p=2 x17500X1.0xO.481
96.125X1.75+0,2 xO.481= 100psi
0.606in.
Use0.625in.min.thickhead
NOTE: When the r a t i o f/ r sr e a t e rh a n6 3 ,o n - C o d eo n s t r u c t i oak4 m a y ea l c u l a t e d yh eo r m u l a :l l =( 3L / r )
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22
I NFORMULASIN TERMS OF OUTSIDE DIMENSIONS
NOTATION
E = Joint efficiency,page1P = D e s i g nr e s s u r e ra x .l l o w a b l eO u t s i d eadius,inchesw o r k i n gr e s s u r es i =u t s i d ei a m e t en c
S = S t r e s sa l u e fa t e r i a ls i ,a g eW a l lh i c k n e sn c1 8 9C.A: = Comosionallowance,inches
ACYLINDRICAL SHELL ( L OE
b
+ PR
G3) ~
* = SE + 0.4PP = R y;4t
R .
1 .s u a l l yh et r e s sho neg o v ep a g e 4
2 .h e nh ea l lh i c k n e s sx c e e natr a d i u s re x c e e d s. 3 8E ho r mit h eo d ep p e n d i x-h a la p p l
BSPHERE and HEMISPHERICAL HEAD
@
PR
f = 2SE + 0.8P P - ~ y; B*.
d’
f 1 .o re a d si t h o u ts t r a i g hl a n gf fR o fh ee a d oh e l lo i ni l e hf f
o fh ee a m s nh ee a dR P
S E ,h e1-3,shallbeapplied.
c2:1 ELLIPSOIDAL HEAD
-
PDh ‘= 2S45+1,8P
P=D~l— .
u
+1 .o rl l i p s o i d a le a d s ,h e rha tt a
m i n o rx i s st h e rh a: 1eop p e-
h = D14
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23
E X
DESIGN DATA:
P = IOOpsidesignpressure E = 1.OOjointefficiencyfseamlessheads
S = 17500psistressva1ueof l? =48inchesoutsideriidiusSA515-70plate@650°F D= 96inchesoutsidediameterE= O.8&efliciencyofspot-examined t=Requiredwallthickness,nches
joints ofshellandhemis.headtoshell C.A.=0.125inchescorosionallowanceE = 1.00,jointefficiencyfseamless
SEEDESIGN DATAABOVE SEE DESIGN DATAABOVE
Determine the required thickness, t Determine the maximum allowable
of a shell working pressure, P for 0.500 in. thick
100X48shell when the vessel is in new condi-tion.
‘= 17500x0.85-0.4x 100 ‘0”322‘n” 17500xO.85xO.500P=
+C.A. 48-0.4 x0,500 = 155psi0.125in.0.447in.
Use:0.500in.thickplate
SEE DESIGN DATAABOVESEEDESIGN DATAABOVE
Head furnished without straight flange.Determine the maximum allowable
Determine the required thickness, tof ahemispherical head.
working pressure, P for 0.3125 in. thick
head, when the vessel is in newcondition.t=
2x17500%;t0.8x100 ‘0-161 ‘r-ip. 2x 17500xO.85x().3125
48-0.8 x0,3125 =194psi
+ C . A .. 1 2 5n .
0.286in.
Use:0.3215in.min.thickhead
SEEDESIGN DATAABOVE SEEDESIGN DATAABOVE
Determine the maximum allowable
Determine the required thickness t of a working pressure, P for 0.273 in. thick
seamless ellipsoidal head. head, when it is in new condition.
100x96t=
2 x 17500X 1 . 0 +. 8 X. 2x 17500x1.0X96-1.8 xO.273 =100psi
+C.A. 0,125in.0.398in.
Use0.4375in.min.thickhead
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I NFORMULASNTERMSOF OUTSIDEDIMENSIONS
N ~ A T I O NOutsidediameter.inches
P = Designpressureor max. allowable ~ = one halfof the included(apex)w o r k i n gr e s s u r esi a n g l e ,e g r e
S = S & e s sa l u e fa t e r i a ls i ,a g e= O u t s i d ea d id i snr = I n s i d en u c ka d in
E = J o i n tf f i c i e n c y ,a g e7 2W a l lh i c k n e sn cR = O u t s i d ea d i u s ,n c h e s.A: = C o r r o s i o nl l o w a nn c
) CONE CONICAL SECTION
@
PD p= 2bsEfCosCY
‘=2 CosCYSE+ O.4P) D –0.8t a
d1 .h ea l fp e xn g l e ,n or e a th
L “ .h e n a sr e a t e rh a0 °p e cn a lr e( C o d ep p e n d i x- 5 ( e )
E A s M EL A N G E DNI S HE( T O R I S P H E R I C A LE A
W h e n L / r1 6 2
0.885PLP=
SEt
2=SE + 0.8P 0.885L– O.8t
fW h e ne sh a6
.
i
PL M 2SEtf= 2SE+P(M– O.2)’ ‘= ML –t(ikf-O.2)
VALUES OF FACTOR M
‘ / r. 0 0. 5 0. 0 0
1 . 2 5. 7 53 . 5. 5
2 . 2 5. 7 5. 2 5.
4 . 0.
M 1 . 0 0. 0 6. 1 0
% ‘
7 : L - t = D 2
.
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25
E X
3ESIGN DATA:
P = IOOpsidesignpressure D = 96inchesoutsideimeterS = 17500psistressvalueof ~ = 3@onehalfoftheapexmgle
SA515-70plate@650°F L = 96inchesoutsideadiusofdishE =0.85,efficiencyfspot-examinedjoints t = Requiredwallthickness,nchesE = 1.00,jointefficiencyfseamlessheads C.A = 0.125inchescomosionallowmceR = 48inchesoutsideadius
SEEDESIGN DATAABOVE SEEDESIGNDATAABOVE
:0s 30°=0.866 Determine the maximum allowable
Determine the required thickness, t working pressure, P for 0.500 in. thick
of a cone cone.
96‘=2x0.866X(l\50; X0.85+Oc4X100)=
00
=0.372 in. ~= 2X17500X).85X).5()()X().866
96- (0.8xO.500xO.866)
= 134psi
+-CA. 0.125in.0.497in.
Use:0.500in.thickplate
SEEDESIGN DATAABOVE SEEDESIGNDATAABOVE
L/r = 16$Determine the maximum allowable
Determine the required thickness, t of a working pressure, P for 0.625 in. thickseamless ASME flanged and dishedhead.
seamless head, when the vessel is incorroded condition.
0,885x100x96
‘= 17500x1.0+0.8x 100
=0.483in.
17500x1.0xO.625P= 0.885
+C.A. 0.125in.
0.608in.
U s e :. 6 2 5n.min.thickhead
SEEDESIGN DATAABOVE%
SEEDESIGN DATAABOVE
Knuckle radius r= 6 i M ~ = 1 K r p= 6 in. L/r= ~ =16M 1.75 from table.
Determine the required thickness tof a~= 1.75 from table.
seamless ASME flanged and dished Determine the maximum allowable
head. working pressure, P for a 0.478 in. thick100X96X1.75 seamless head when the vessel is in
t=2x 17500x1.0x 100(1.75-0.2)
=0.478in. corroded condition.
+-CA. 0.125in.2X17500x1.OX().478 .
0.603in.‘= 1.75X96-0478(1.75-0.2)=100ps*
Use0.625in.min.thickhead
NOTE: W h e nh ea t i o f/ r sr e a t e rh a n6 :( n o n - C o d eo n s t r u c t i oaM m a y b ea l c u l a t e d yh eo r m u l a :l =( 3~
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&u
I E PF
NOTATION
P = Internal or external design pressure psi E=joint efficiency
d =Inside diameter ofshell, in.S =Maximumaflowable stiessvalue ofmaterial, psit = Minimum required thickness of head, exclusive of corrosion allowance, in
t~ = Actual thickness of head exclusive of corrosion allowance, in.
tr = Minimumrequiredthicknessof seamlessshell for pressure,in.t~ = Actual thickness of shell, exclusive of corrosion allowance, in.
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27
I E PE
DESIGNDATA
P = 300 psi design pressure E=joint efficiencyd =24in. inside diameter ofshell
s =15,0001psi maximum allowable stress value of SA-515-60 platetr =0.243 i n .equired thickness of seamless shell for pressure.t~ =0.3125 in. actual thickness ofshell.
DETERMINE THE MINIMUM REQUIRED THICKNESS, t
t=d ~ 0.13 PISE = 24 ~ 0.13x300/15,000 x 1 = 1.223 in.
Use l.250in. head
t~ 1.250Checking the limitationof — = — = 0.052,
d 24
Theratio ofhead thickness to the diameter of the shell is satisfactory
SEE DESIGN DATA ABOVE
0.243c = 0.33 ; = 0,33 — = 0.26
s 0.3125
t = d = = 24 0.26 x 300/1 ~,000 x 1 ==1.731 in.
Use 1.75 in. plate
Using thicker plate for shell, alesser thickness wfil be satisfactory for the head
t~= 0.375 i n .
0.243c = 0.33 + = 0.33 —
0.375= 0.214
t= d & = 24 J0.214 x 300/15,000 x 1 = 1.57 in.
Use 1.625 in. plate
The shell thickness shall be maintained along a distance 2J
dt, from theinside face of the head
2 m = 6 in”
- .. . . . .... . .
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28
PRESSURE – TEMPERATURE RATINGS
F O RT E E LI P ELANGES AND FLANGED FITTINGS
American National Standard ANSI B16.5-1981
150lb. 300 l b .0 0b .0 0b. 900 l b5
HYDROSTATICTESTPRESSURE,PSIG
450 1125 1500 2225 3350 5575 9275
TEMPERATURE, MAXIMUMALLOWABLENON-SHOCKpRESSURE PSIG
-20 to 100 285 740 990 1480 2220 3705 6170200 260 675 900 1350 2025 3375 5625300 230 655 875 1315 1970 3280 547400 200 635 845 1270 1900 3170 5280
500 170 600 800 1200 1795 2995 4990600 140 550 730 1095 1640 2735 4560
650 125 535 715 1075 1610 2685 4475700 110 535 710 1065 1600 2665 4440
750 95 505 670 1010 1510 2520 4200800 80 410 550 325 1235 2060 343850 65 270 355 535 805 1340 2230900 50 170 230 345 515 860 143
950 35 105 140 205 310 515 861000 20 50 70 105 155 260 43
Ratings apply to materials:SA-1051’2 SA-515-702 SA-516-702 SA-181-70]’2 SA-350-LF2SA-537-C1.13 SA-216-WCB2
NOTES:1. For service temperatures above 850 F it is recommended that killed steels
containing not less than 0.10070esidual silicon be used.2. Upon prolonged exposure to temperatures above 800F, the carbide phase of
carbon steel may be converted to graphite.3. T h ea t e r i a lh a l lo t es e d nh i c k n e s sb o v e1/2 i n
Flangesof ANSIB16.5shallnot be usedfor higher ratings exceptwhereit isjustified by the designmethods of the Code.
Ratingsare maximum allowable non-shock working pressuresexpressedas gagepressure, at the tabulated temperatures and may be interpolated betweentemperatures shown,
Temperatures are those on the inside of the pressure-containing shell of thef l a n g e . ne n e r a l , t sh ea m e sh a t fh eo n t a i n ea t e r i
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2
P F
STATIC HEAD
The fluid in the vesselexerts pressure on the vesselwall. The intensity of thepressure when the fluid is at rest is equal in all directions on the sides orbottom of the vessel and i su e oh ee i g h t fhl u ib o o
a th i c hh er e s s u r e so n s i d e r e d .
T h et a t i ce a dh e np p l i c a b l eh a l l ed d e d ohe s i gr e s stv e s s e l .
T h ea b l e se l o wh o wh ee l a t i o n se t w e e nh er e s s u rne itw a t e r .
T oi n dh er e s s u r eo rn yt h e rl u i d sh a na t e r ,ha l ui vtt a b l e sh a l l eu l t i p l i e di t hh ep e c i f i cr a v i t yhl u ic o n s i d e r
P r e s s u r e no u n d se rq u a r en c ho ri f f e r e n te a dW a t
H e a d ,F e e t1 2 3 4 5 6 7 8 9
0
b
w a t e r ta h r e n h e i tq u a l s4 3 3o u n dr e s s ueq unT oi n dh er e s s u r ee rq u a r en c ho rn ye e te a doi v et ha bm u l t i p l yh ee e te a d y4 3 3 .
H e a d s fa t e r ne e to r r e s p o n d i n g oe r t a ir e s si no u n d se rq u a r en c h
0 1 2 3 4 5 6 7 8 9
0
i t
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30
Tf o ru i c ko m p a r i s o n fe q u i r e dl a t eh i c k n e s sn deight for various materials andat different degree of radiographic examination.
A Stressvalues at tem~. -20 to 650° F.
S A3S A - 2 8 5S A1 5 - 65 1
S A1 6 - 65 1
85V0J. E. 11730 12750 14875
100YoJ. E. 13800 15000 17500
B Ratios of Stress Values
11730 12750 13800 14875 15000 17500
11730 — 1.09 1.18 1.27 1.28 1.49
12750 0.92 — 1.08 1.17 1.18 1.37
13800 0.85 0.92 — 1.08 1.09 1.27
14875 0.79 0.86 0.93 — 1.01 1.18
15000 0.78 0.85 0.92 0.99 — 1.17
17500 0.67 0.73 0.79 “ 0.85 0.86 —
Table A shows the stress value of the most frequently used shell and head materials.
Table B shows the ratios of these stress values.
EXAMPLE:
1. Foravesselusing SA515-70plate, whenspotradiographed, therequiredthickness0.4426 inches and the weight of the vessel 12600 lbs.
2. What plate thickness will be required and what will the weight of the vessel be
using SA 285-C plate and fill radiographic examination:
In case 1. The stress value of the material 14875
In case 2. The stress value of the material 13800
The ratio of the two stress values tlom Table B = 1.08. In this proportion will bincreased the required plate thickness and the weight of the vessel.
0.4426 x 1.08 = 0.4780 in.
12600 X 1.08= 13608 lb.
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31
E X
D e s i g nr e s s u r e
V e s s e l sn t e n d e do re r v i c en d e rx t e r n a lo r k i n gr e s s u r e1 p l
w h i c hr e o et a m p e di t hh eo d ey m b o le n o t i n go m p l i a
r o l e so rx t e r n a lr e s s u r e ,h a l l ee s i g n e dom a x i ml le x t e r n a lr e s s u r e fS p s i r 5e re n to r eh aha x i mo s
e x t e r n a lr e s s u r e ,h i c h e v e r sm a l l e r .o d eJ G2 8f
A v e s s e lh i c h se s i g n e dn do n s t r u c t e d oo d ee q u i r e m e nn t
p r e s s u r en dh i c h se q u i r e d o ee s i g n e do rx t e r n ar e s s1 p
o re s se e do t ee s i g n e d oo d eu l e so rh ex t e r n ar e s so n dH o w e v e r , ox t e r n a lr e s s u r ea t i n ga y eh o w ni thot a m
l e s so d ee q u i r e m e n t so rx t e r n a lr e s s u r er ee t .o dG - o
T h i sh a l lo t ep p l i e d fh ee s s e l sp e r a t e dt e m p e r a t ue
2 0a n dh ee s i g nr e s s u r e se t e r m i n e d yh eo dC 6 cC
U H A5 1b ) ov o i dh ee c e s s i t y fm p a c te s t .
V e s s e l si t ha po i n t s :o d e G2 8g )o ny l i n d r i ce s sa
C o d e G2 8i )
T e s tr e s s u r e
S i n g l e - w a l le s s e l se s i g n e do ra c u u m ra r t i a la c u un lh
s u b j e c t e d o nn t e r n a ly d r o s t a t i ce s t rh e nh y d r o s t aenp r a c t i c a b l e , op n e u m a t i ce s t . G9 9f )
E i t h e ry p e fe s th a l l ea d e tp r e s s u r eoe sh a1 i
d i f f e r e n c ee t w e e no r m a lt m o s p h e r i cr e s s u r en hi n i e
i n t e r n a lb s o l u t er e s s u r e . G9 9f )
P n e u m a t i ce s t :o d e G1 0 0
T h ee s i g ne t h o d nh eo l l o w i n ga g e so n f o r mS Mo dr e
V e s s e l se c t i o nI I I .I V . .h eh a r t s na g e s 2h r rx c e r
t h i so d e .
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32
E XRESSUREFORMULAS
N O T A T I O NP= External designpressure, psig.
P = Maxunumallowableworkingpressure, psig.d.= Outside diameter, in.L = the length, in. ofvessel section between:
1. circumferential lineon a head at one-third the depth of thehead-tangent line,
2. stiffeningrings3. jacket closure4. cone-toqdinderjunction or knuckle-to-cylinderjunction of
a toriconicalhead or section,5. tube sheets (see pa e 39)
t fiMinimumrequiredwa thickness,in.
A. m CYLINDRICAL SHELL2
Seamless or with Longitudinal Butt JointsWhen D./l equal to or greater than 10
the maximum allowable pressure:
D. Pa =4B
1~ , A 3(D0It )t.
— T h ealue of B shall be determined by the fol-lowingprocedure:1. Assume a value for t; See pages 49-511)
t i betermine L/DQ a nI2 .n t e ri g .G O - 2 8 . OP a2) at the valueA m of L/DO. E n t e rw h e/Dp is greater
z
than 50, and at 0.05 when L/D. is l
0.05.3. M o v eo r i z o n t a l l yt hie p r
~ O / t .r o mh eo i ni n t e r s e cB . t l c a l l y oe t e r m i n eha lf a
4 .n t e rh ep p l i c a b l ea t e rh4 3 - 4 7 ) th ea l uM oe r t it
Aa p p h c a b l ee m p e r a t u r ei n e
5 .r o mh en t e r s e c t i o no vo r i z or e a dh ea l u e
uz C o m p u t eh ea x i m u ml l o w ao r
2 s u r e ,a.
u If the maximum allowable working pressure isz t AE
smaller than the design pressure, the design
M procedure must be repeated increasing the vesLalL sel thicknessor decreasingL b s t i f f
F * F o ra l u e sf a l l it ta p p l i c a b l ee m p e r a t u r ei n af POc a n ea l c u l a t e dho r m u
t ~ A
1 Pa =s 1 3 ( Dt) - ?
2 W h e nh ea l u eo /l e htg i v e nho dG - 2 8
W I T HT I F F E N I N GI N G ep p l i e d .
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33
E X
D E S I G NATA
P = IS e x t e r n a le s i g nressure
D. = 96 in. outside diatmeter of the shell
Length o fh ee s s e lr o ma n g e n ti n e oa n g e n ti n eti n5H e a d s: 1l l i p s o i d a l
M a t e r i a l fh e l l A2 8 5p l a t e
T e m p e r a t u r e0 0 °
E = M o d u l u sf elasticity o fa t e r i a l ,7 , 0 0 0 , 0 0 0s i0 Js h
o na g e 3
D e t e r m i n eh ee q u i r e dh e i lh i c k n e s s .
A s s u m es h e l lh i c k n e s s := 0 . 5 0n .s e ea g e9 )
L e n g t h=592 in. (length of shell 576 in. and one third of the depth of
heads 16 i n . )L/DO= 592/96 = 6.17 Do/t = 96/0.5= 192
A=O.00007 from chart (page 42)determined by the procedure described onthe facing page.
Since the value of A is falling to the left of the applicable temperature-linein Fig. UCS-28.2 (page 43),
P* = 2AE/3( DOlt) = 2 x 0.00007x 27,000,000/3x 192= 6.56 psi.
Since tlie maximum allowable pressure is smaller than the design pressureP stiffening rings shall be provided.
Using 2 stiffening rings equally spaced between the tangent lines of the heads,Length of one vessel section, L = 200 in.(length of shell 192 in. plus one thirdof depth of head 8 in.)
L/DO= = = =
i
* = from chart (pagea
s 3000 f r o mh a r tp a g3
G d e t e r m i n e d yh er o c e d u r ee s c r i
: ‘ 0a c i n ga g e .+“ o
QPa = 4B/3(DOlr) = 4 x 3000/3 x 192= 20.8 psi.
‘k GG* Since the maximum allowable pressure P. is‘; greater than the design pressure P, the assumed
thickness of shell using two stiffening rings,is satisfactory.
“00*Z
See page 40 for design of stiffening rings.
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34
EXTERNALPRESSUREFORMULAS
NOTATIONP = External design pressure psig.Pa = Maximum allowable working pressure psig.DO = Outsidediameter of the head, in.RO = Outside radius of sphere or hemispherical head, 0.9D0 for ellipsoidal
heads, inside crown radius of flanged and dished heads, in.= Minimum required wall thickness, inches.
; = Modulusof elasticity of material, psi. (page 43)
SPHERE and HEMISPHERICAL HEAD
The maximum B
allowable pressure: ‘“ = (RO/t)
The valueof B shall be determinedby the followingpro-cedure:
1. Assume the value for t and calculate the value of
A using the f o r m u l a :( ) (see page49)2 .n t e rh ep p l i c a b l ea t e r i ah ap a3
t h ea l u e f. Move vertically to the applicabl
t- - ~~–•°à–•Tá–•Xæ–•
temperature line.*3. From the intersection move horizontally and read
tR. R. t h ea l u e f .
DO *For values of A falling to the left of the applicable temperature line, the value of POcan be calculated by the formula:Pc = 0.0625V~R0/ t ):
If the maximum allowable working pressure f’. computed by the formula above, is smaller than the desigpressure, a greater value for [ must be selected and
the design procedure repeated.2:1 ELLIPSOIDAL HEAD
The required thickness shall be the greater of thefollowing thicknesses.
I (1) The thickness as computed by the formulasR.
+%
given for internal pressure using a design pres
sure 1.67 times the external pressure and jointt
DOefficiency E=1.00.
(2) The thickness proofed by formula Fa=BARo/where&=O.9 00, and B to be determined as fosphere.
ASMEFLANGEDNDDISHEDHEAD( T O R I S P H E R I C A LE A
+ W
R.The required thickness and maximum allowable pres-
( sure shall be computed by the procedures given forellipsoidal heads. (See above)ROmaximum=D,,f,
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35
E X
DESIGN DATA:
P = 15psigexternal design pressureDo= 96 inches outside diameter of headMaterial of the head SA-285C plate500°F design temperature
Determine the required head thickness.
SEE DESIGNDATA ABOVE
Assumea head thickness: t,=0.25 i n . .4 8 . ~n
A = 0 . 1 2 5 / ( 4 8 . 0 0 / 0 . 2 5 )0 . 0 0 0 6 5
F r o mi g .C S - 2 8 . 2p a g e3 ) B8 5 0 0e t e r m i n e dhr o c e dd e s c r i b e d nh ea c i n ga g e .
Pa = 8 5 0 0 / ( 4 8 . 0 0 / 0 . 2 5 )4 4 , 2 7s i .
S i n c eh ea x i m u ml l o w a b l eo r k i n gr e s s u r ea is exceedingly greater thanthe design pressuref’, a lesser thickness would be satisfactory.
For a second trial, assume a head thickness: t = 0.1875 in.RO= 4 8 . 0 0n .
A = 0 . 1 2 5 / ( 4 8 . 0 0 / 0 . 1 8 7 5 )0 . 0 0 0 5
B = 6 7 0 0 ,r o mh a r tp a g e 4 3 ) ,a = B/(RJt) = 6700/256= 26.2 psi.
The assumed thickness: t = 0.1875 in. is satisfactory.
SEEDESIGNDATAABOVE. Procedure(2.)
A s s u m eh e a dh i c k n e s s := 0 . 3 1 2 5n . .x = in.
A = 0.125/(86.4/0.3125)= 0.00045
B= 6100 from chart (page 43), Pa = B/( RO\r)I= 6100/276= 22.1 psi.
Since the maximum allowable pressure Pa i sr e a t e rh ahe s ir e sP t h es s u m e dh i c k n e s s sa t i s f a c t o r y .
SEE DESIGN DATA ABOVE. Procedure (2.)
Assume a head thickness: t = 0.3125 in., RO=,DO=96 in.
A = 0.125/(96/0.3125)= 0.0004B a 5 2 0 0r o mh a r tp a g e3 ) ,a = B/( RO/t) = 5200/307 = 16.93 psi.
Since the m a x i m u ml l o w a b l er e s s u r e a sr e a t e rh ahe s ir e s
~ t h es s u m e dh i c k n e s s sa t i s f a c t o r y .
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36
E XFORMULAS
AX
CONE A NONICAL SE(XION
L WHEN a ISEQUALTOORLESSTHAN‘a and Dl\r, > 10The m a x i m u ml l o w a br e s s
LD ,
4
‘ 3(D,/f,.)
1 .s s u m ev a l uor thickness,~,s
l%
Thevaluesof B s h adeterminedby tfollowingprocedure:
a
‘1
2 .e t e r m i n e,., and the ratiosL/Dl a
te D1/tea
L3. Enter chart UGO-28(page42) at the wd
I of LJDI (.L/D&)( E n t5 w /Dlis greater than 5 0oo r i z t
DIline representing~it. From the pointintersection move vefically to determfactor A,
4. Enter the applicable material chart athe value of A* and moveverticallyto th
NOTATIONline of applicable temperature. From thintersection move horizontally and rea
A = factordeterminedfrom the value of B.
fig.UGO-21L0page , 4 2 .o m p u t eha x i ml l oB = fhctordetermined from pressure,Pa.
charts(pages4 3 4 7 )a = o n ea l f fh en c l u d e d
( a p e x )n g l e ,e g r e e sI fa is s m a l l eh ahe sr e
Dl =d e s i g n ,h ee s i gr o c e dust be repeat
outsidediameter at thelargeend, in.
increasingthe thicknessor decreasingL
D outsidediameter at theusingof stiffeningrings.
s=
smalle n dn .E
F o ra l u e sf a l l it het a= modulusof elasticityof
material (page 43)cableline, the valueof P can be calcula
L = lengthof cone, in. (see by the formula:
page 39) Pa = 2AE/3(D,/t,.)
Le = equivalentlength of For coneshavingD A ratio smallerthan 1
conicalsection, seeCode UG-33(~(b)
in.(L/’2)(l+D~/Df)P = external designpressure,. W H E N aR E A T EH
Pa = flbum allowable The thicknessof theconesshallbe thesame
workingpressure, psi the required t h i c k n e of l
t = minimumrequired o h i cq u aa r
t h i c k n e s s ,n .i a m e t e rho n e
te = effectivethickness,n.= t Cos a
P r o v i d ed e q u a t ee i n f o r ct oc y l i n d e ru n c t u r e .ea
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37
E X
DESIGN DATA
F’ = 15 psi external design pressure
Material of the cone SA 285-C plate500 F design temperature
CONICAL HEAD
D( = 9 6n .=2 2 . 5e g r e e s, =O
Determine the required thickness, t
A7
LLength, f. =( D1/2)hncx=48/.4142= 115.8,say 116in (11. Assumea head thickness, t, 0.3125in.2. fe= tcosa=O.3125 .9239 = 0.288;
L, =L/2 ( l + DD 1= 1 1 6 / 2( 10/96) = 58
L, /~, =58/96 =0.6 L), Ite = 96/,288 = 333 w3. A =0.00037 ( f r o mh a r t ,a g e2 )4 .= 5 , 2 0 0f r o mh a r t ,a g e3 )
5 .,, =4B 4 X 5,200
3(D,/t@) ==20.8 psi.
3(333)
Sincethe maximum allowable pressure is greater than the design pressure, theassumedplate thickness is satisfactory.
CONICAL SECTION (See designdata above)
DI = 144in. D, =96 in. a =30 d e g .
D e t e r m i n eh ee q u i r e dh i c k n e s s ,
L e n g t h ,= [ ( D r D J ) / 2 ] / t a n a2 4 / . 5 7 7 44 1 . 6n .
m
a 0 . 32 . ,t C O s ~ O . 3 7 5( ) . 8 6 6 = 0 . 3
$ ’
Le=(L/2)(1 + D~\Dl)=41.6\2 X
1 + 9 6 / 1 4 4 )3 4 . 6I L Le/D[ =3 4 . 6 7 / 1 4 4 = 0 . 2 4 1
D1/te=1 4 4 / 0 . 3 2 4 =4
3. A =0.00065 (from chart, page42J4 .= 8 , 6 0 0f r o mh a r ta g3
2 41 4 4 - 9 6
2 5. pa = 4B =
4 X8 6
1 4 4 3(DJr J 3 X (144/0.324)= 25.8 p s i .
S i n c eh ea x i m u ml l o w a b l er e s s u r e. is greater than the d e s ir e sP, the assumed thickness is satisfactory.
EXAMPLES &
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39
E XFORMULAS
o
7L
J
Use L in calculation as shown when
R
T
the strength ofjoints of cone to cylin-
L der does not meet the requirementsdescribed on pages 163-169 It willresult the thickness for the cone notlessthan the minimumrequired thick-
ness for the joiningqdindricalshell.
H
7
Use L in calculationas shownwhenthe strength ofjoints of cone to cylin-der meets the requirements describedon pages 163-169
-a
rL.
1
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40
E XDESIGN OF STIFFENING RINGS
NOTATION
A : Factor determined from the chart (page 42) for the material used in thestiffening ring.
A, = Cross sectional area of the stiffening ring, sq. in.
DO= Outside Diameter of shell, in.
E = Modulus of elasticity of material (see chart on page 43)
1, = Required moment of inertia of the stiffening ring about its neutral axis parallelto the axis of the shell, in.4.
f’,, = Required moment of inertia of the stiffening ring combined with the shellsection which is taken as contributing to the moment of inertia. The width ofthe shell section 1.10 @ in.4.
L, = The sum ofone-halfofthe distances on both sides of the stiffening ring from
the center line of the ring to the (1) next stiffening ring, (2) to the head line atdepth, (3) to a jacket connection, or (4) to cone-to-cylinderunction, in.
P = External design pressure, psi.
t = Minimum required wall thickness of shell, in.
I. Select the type of stiffening ring and determine its cross sectional area A
II. Assume the required number of rings and distribute them equally betweenjacketed section, cone-to-shell junction, or head line at % of its depth anddetermine dimension, L,.
111.Calculate the moment of inertia of the selected ring or the moment of inertia ofthe ring combined with the shell section (see page 95).
IV. The available moment of inertia ofa circumferential stiffening ring shall not beless than determined by one of the following formulas:
~, = Do’L,(t+A]L)A D02L,(t+A~L)A
10.9{,= ~.s
The value of A shall be determined by the following procedure:
1. Calculate factor B usingthe formula:
“’[*J2. Enter the applicable material chart (pages 43 -47) at the value of B and move
horizontally to the curve of design temperature. When the value ofB is less than2500, A can be calculated by the formula: A = 2B/E.
3. Fromthe intersection point move vertically tothebottom ofthe chart andreadthevalue of A.
4. Calculate the required moment of inertia using the formulas above.
If the moment of inertia of the ring or the ring combined with the shell section isgreaterthan the required moment of inertia, the stiffening of the sheHis satisfactory. Otherwisestiffening ring with larger moment of inertia must be selected, or the number of rings
shall be increased.
Stiffening ring for jacketed vessel: Code UG-29 (f)
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41
E X
D E S I G NATA:
P=
D.=
E=
1 =
1 5s i .e x t e r n a le s i g nr e s s u r e .
9 6n . ,u t s i d ei a m e t e r fh eh e l l .L e n g t h fh ee s s e lr o ma n g e n ti n e oa n g e n ti n ef ti 5
H e a d s: 1l l i p s o i d a lM a t e r i a l fh et i f f e n i n gi n g A3 6
T e m p e r a t u r e0 0 °
M o d u l u s fl a s t i c i t y fa t e r i a l ,7 , 0 0 0 , 0 0 0s i5 0( s ho na g e3 )
0 . 5 0 0n .h i c k n e s s fh e l l
I .
II.
III.
IV.
A nn g l ex 4 - 5 /e l ez 4 ,3 . 0 3q n
U s i n gs t i f f e n i ni nq us p a c e de t w e en e - t heo fe a d ss ei g u r ej = 1 n.
T h eo m e n ti n e rtselectedangle: 11.4in.
1. T h ea l ua c t o r
B= 3/4[PDOjct =
3/4 ~5 X96/(0.5 + 3.03~1961
= 2095
2 .i n c eha l uB i lt h a n5 0 0
A = 2BiE. =
2 X 2095/27,000,000= 0.00015
The required moment of inertia:
I , = =[1102L$(r+ A,\Q4] 962X 196X (0.5+ 3.03/ 196)X 0.00015 = g 97 in ~=14 14
. .
S i n c eh ee q u i r e do m e n t fn e r t i a9 . 9 7ni m a l lhm o m e n t fn e r t i a fh ee l e c t e dn g l e 1. 4nt he sae q u a t e l yt i f f e n e d .
S t i f f e n i n gi n g sa y eu b j e c t oa t e r a lu c k l i n g .h ih o u lc o n s i
i nd d i t i o n oh ee q u i r e do m e n t fn e r t i a .
S e ea g e ~ 9 5 - 9 7o rt i f f e n i n gi n ga l c u l a t i o n s .
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4 2
Cacml owl 001 . 0
A
THE VALUES OF FACTOR A
U S E D NO R M U L A SO RE S S E L SN D E RX T E R N AR E S
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n
r
I
i
I
I
I
II
I
z
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I1
I ,w
I
I
I
I
\
l
\w
8P
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t
t
1
1
1
u
I
IYR]
.
\
I
1
I
,
I
\
I
.
I
I
\
I
.
I
t
I
I
I
I
1
III
I
1
I
I
I
I
U
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48
E XCONSTRUCTION OF STIFFENING RINGS
LOCATIONStiffening ringsmay be placed on the inside or outside of a vessel.
SHAPEOFRINGST h ei n g sa y e fe c t a n g u l a r rn yt h e re c t i o n s .
CONSTRUCTIONI t sr e f e r a b l e os el a t e s no n s t r u c t i n gc o m p o s i t e - s e c t i o nt i f f
r a t h e rh a ns i n gt a n d a r dt r u c t u r a lh a p e s .h ee a s o noh ii
t h ei f f i c u l t i e s fo l l i n ge a v yt r u c t u r a lh a p e s ,u tl se c a ut e
s i t y od j u s th ei n g oh eu r v a t u r e fh eh e l l .oa r gi a m ee s
m a x i m u me r m i s s i b l eu t fo u n d n e s sa ne s u l t n1 – 2 i n e t
t h eh e l ln dh ei n g .h i sa n el i m i n a t e d fh ee r t i c a le m btc u tu t fh el a t e ne c t i o n s .h ee c t i o n sa n el a mu tn s tr o
a n dh e nu t t - w e l d e do g e t h e r nl a c e .
DRAIN AND VENT
S t i f f e n e ri n g sl a c e d nh en s i d e fo r i z o n t a lh e l l sa vh og tb o t t o mo rr a i n a g en d th eo po re n t .r a c t i c a l l ynaa 3 id i a m e t e ro l e th eo t t o mn d% i n c hi a m e t e ro l eh os a t i s fa n do e so tf f e c th et r e s so n d i t i o n s .i g u r e .
F o rh ea x i m u mr c fh e l le f tn s u p p o r t e de c a u sg as t i f
r i n g ,e eo d ei g u r eG . ’ 2 9 . 2 .
WELDINGAccording to the ASME Code (UG 30): Stiffener rings may be attached “tothe
shell by continuous or intermittent welding. The total length of intermittentwelding on each side of the stiffener ring shall be:
1 .o ri n g s nh eu t s i d e ,o te s sh a nn ea l fhu t s ii r c u m f
o fh ee s s e l ;2 .o ri n g s nh en s i d e fh ee s s e l ,o te s sh a nnh it i r
f e r e n c e fh ee s s e l .
W h e r eo r r o s i o nl l o w a n c e s o er o v i d e d ,h et i f f e n i n gi nh aa t t
t ohe shell with continuous fillet or seal weld.ASME.Code(UG.30.)
M a x .p a c i n1 2f on t e r n ai8 t f ox t e r n ai
4
1
F i g u r e F i g u r
E X A M P L E :I N G SU T S I D E% ”3 ”g .i l l ee l6 c t
R I N G SN S I D E4 ”2 “g .i l l ee l6 c t
T h et i e te l de g - s i z eh a l l eo te s sh a nh em a l l e s tho l l o wt h eh i c k n e s s fe s s e la l l rt i f f e n e r th eo i n t .
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49
CHARTS FOR DETERMINING THE WALL THICKNESS FOR
VESSELS SUBJECTED T F V
U s i n gh eh a r t s ,r i a l si t hi f f e r e n ts s u m e dh i c k n e s s e saa v o
T h eh a r t sa se e ne v e l o p e d nc c o r d a n c ei t hh ee s i ge t hA SC o d e ,e c t i o nI I I ,i v i s i o n .
~“ “ ”0 2 00 40 50 60 70 80 90 100 110 120 130140 150 160170 180 190200
SPHERICAL, ELLIPSOIDAL, FLANGED AND DISHED HEADS(Specified yield strength 30,000 to 38,000 p s in c l u s i v
I
T oi n dh ee q u i r e de a dh i c k n e s s : .e t e r m i n e ,n t ehh ato f , .o v ee r t i c a l l y oe m p e r a t u r ei n e , .o v eo r i z o n t a l lne
t = R e q u i r e de a dh i c k n e s s ,n .R = F o re m i s p h e r i c a le a d s ,h en s i d ea d i u s ,n
F o r: 1l l i p s o i d a le a d s. 9 x D 0
F o rl a n g e dn di s h e de a d s ,h en s i d er o w na d i u nmW=DoD. = Outside diameter of the head, in.
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50
CHARTS FOR DETERMINING THE WALL THICKNESS FOR
VESSELS SUBJECTED TO FULL VACUUM
323.
5m.
475.
a m
-Q5
Qo.
37s
35a
s
3m.
27s
Zm.
225
2ca
175
Isa
1=
Im
Ea
14
Isa
laa
I la
Ioa
m
m.
70.
30.
3a
Q.
2a
m.
la
525502
475
6a
e
a
375
350.
225
2m.
27s.
m
2Z-3.
a
r?s.
(5a
123.
Ice.
L I D
l
1
1
,
I
90.
m
n).
a
30.
a
m
m.
3 d 5 67*9 2 3 0.
1. * 5 0 7 a o ,..
C Y L I N D R I C A LH E L L
( S e eacing page f o rx p l a n a t i o n )
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51
CHARTS FOR DETERMINING THE WALL THICKNESS FOR
VESSELS SUBJECTED TO FULL VACUUM
10 Is ,Xl .25 .32 .sS .4 .5s .50 .% .(M .05 .70 75 .s0 .03 .90 .95525”
.00S5
Soo. X0.
4?5. 415
492. 441
-Q5 45.
-QO. -no.
3n 3T5
330. 330.
325 325\o ~. X
n2 7 ’ 5 . 2?s
—’2EQ. ?3a
2?5. 2ZS
ma 290.
ITS. 17S
,3. Isa
125 25
ICo..10 . 15 .20 .2s .= ,35 .Q .65 .542 .55 .m .63 .m .75 .m .55 .90 .s5 ,.m
CC..
t =
C Y L I N D R I C A LH E L L
( S p e c i f i e di e l dt r e n g t h0 , 0 0 0 o8 , 0 0 0s in c l u s i v
T oi n dh ee q u i r e dh e l lh i c k n e s s :1 .n t e ro w e rh a r tf a c i n ga g e ) th ea l uL2 .o v eo r i z o n t a l l y ou r v e se p r e s e n t i n g
M o v ee r t i c a l l y oe m p e r a t u r ei n e4 .o v eo r i z o n t a l l yn de a do / t5 .n t e rh a r tb o v e th ea l u e fo / t6 .o v eo r i z o n t a l l y ou r v e7 .o v ee r t i c a l l yo w nn de a dh ea l u e
t == o fh e l l ,n .
L = L e n g t h fh ee s s e l re s s e le c t i o n ,a k e n sh ea r g e st ho l l o
1 .i s t a n c ee t w e e nh ea n g e n ti n e s fh ee a d sl unh it et h ei n g sr eo ts e d ,n .
2 .h er e a t e s ti s t a n c ee t w e e nn yw ok j a c e n tt i f f e n i ni n g3 .h ei s t a n c er o mh ee n t e r fh ei r s tt i f f e n i n gi nt hea n
l i n el u sn ehird of t h ee l de p t h ,n .
T h e
P .. ,B a s e d ne wS M Eo d ed d e n d a. . C h a r ti n de s sh i c kH Y D R O C A R B O NR O C E S S I N G , 5o . ,a y9 7 6 .1 7
L o g a n , .. , Ai m p l i f i e dp p r o a c h o. . P r e s s u r ee s s e le ae s i g nY D R ON o v e m b e r9 7 6 .6 5 .
C o p y r i g h t e d
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52
D T T
WIND LOAD
The computationofwind load isbased on StandardANSIiASCE7-93, approved 19
The basic wind speed shall be taken from the map on the followingpage.
The basicwind speed is 80mph. inHawaii and 95 mph. in Puerto Rico.
The minimum designwind pressure shall be not less than 10lb.hq. ft.
When records and experience indicates that the wind speeds are higher than threflected in the map, the higher valuesof wind speed shall be applied.
The windpressureon the projectedarea ofa cylindrical tower shall becalculatedbyfollowing formula.
F=qzG CjA~ (Table 4) ANSI/ASCE 7-93 STANDARD(Referencesmade to the tables of this standard)
Projected area of tower, sq. ft. = @x H)
Shapefactor= 0.8 for cylindrical tower (Table 12)
Gust response factor= (G~& GZ)*Whenthe tower located:in urban, suburbanareas, ExposureB;in open terrain with scatteredobstruction, ExposureC;
in flat. unobstructedareas, ExposureD.(Table 8)
= Velocitypressure,0.00256K, (1~2
IESIGN WIND‘ R E S S U R E ,b .
m projected
a o t I
*See tables below for values of qand for combinedvaluesofGh, G,& K,
Wind speed,mph.Importance factor, 1.0(structuresthatrepresent low hazard to human lifein event of failure).
VelocityPressureExposureCoefficient*ExposuresB ,C&D (Table 6)
VELOCITY PRESSURE, q
Basic wind speed,mph, Y 70 80 90 100 110 120 13
VelocityPressurep 0.00256 V2,q 13 17 21 26 31 37 4
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53
DESIGN OF TALL TOWERSWIND LOAD
(Continue~
COEFFICIENT G (Gust r f c w E C
Abo?eE~~~~d,l. EXPOSUREB EXPOSUREC EXPOSURED0-15 0.6 1.1 1.4
20 0.7 1.2 1.540 0.8 1.3 1.660 0.9 1.4 1.780 1.0 1.5 1.8
100 1.1 1.6 1.9140 1.2 1.7 2.0200 1.4 1.9 2.1
300 1.6 2.0 2.2500 1.9 2.3 2.4
The area of caged ladder maybe approximated as 1 sq. ft. per lineal il. Area of
platform 8 sq. Il.
Users of vessels usually specifi for manufacturers the wind pressure without
reference to the height zones or map areas. For example: 30 lb. per sq. fl. This
specified pressure shall be considered to be uniform on the whole vessel.
The total wind pressure on a tower is the product of the unit pressure and the
projected area ofthetower. With good arrangement of the equipment the exposed
area of the wind can be reduced considerably. For example, by locating the ladder
90 degrees from the vapor line.
EXAMPLE:
Determine the wind load, FDESIGN DATA:
t w b s Vv d Dvessel height, H
Diameter of tower, D
Height of the tower, HThe tower located in flat,
unobstructed area, exposure
= 1 m= 6 fi~= 80 ft.
= 6 ft.= 80 ft.
.. D
The wind load, F=q x G x (9.8xAq f r o ma b l e2 6sfG from table = 1.8Shape factor = 0.8Area, A = DH =6 x 80 =480 sq. ft.F =26X 1.8X 0.8X 480= 17,971 Ibs.
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MAP W S(miles per hour)
. r-v
—
(q u90 j----- ---
i
“ri---- =- ~-i_.. _.T‘-.’
i----
, ~ A L A S K ’ A 2,
m
. . . . .. . ...
my
/,-—---- —
‘&—— I i .- \kl
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.
M W S(miles per hour)
NOTES:1 .a l u e sr ea s t e s t - m i l ep e e d s t 3l .b o v er o u n do rx p o s u r ea t e g oa ns sw i t h nn n u a lr o b a b i l i t y f. 0 2 .
2 .i n e a rn t e r p o l a t i o ne t w e e ni n dp e e do n t o u r s sc c e p t a b l e .3 .a u t i o n nh es e fi n dp e e do n t o u r s no u n t a i n o u se g i o nA l a sa d v i4 .i n dp e e do ra w a i i s 0n do ru e r t oi c o s 5p h .5 .h e r eo c a le c o r d s re r r a i nn d i c a t ei g h e r0 - y e a ri n dp e e d sh eh au s6 .i n dp e e da y es s u m e d o eo n s t a n te t w e e no a s t l i n en he a r en lo n
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56
D T T
WIND LOAD
Computationof w i n do a d sl t e r n a t ee t h o da s e d nt a n d a rSAA58.1-1955.Thisstandardis o b s o l e t eu tt i l ls e d no m eo d e sn do r e i g no u n t r i e
T h ei n dr e s s u r e t 0t .e v e lb o v er o u n do rh en i t et a ts ht h ea p nh ea c i n ga g e .
T h ea b l ee l o wi v e sh ei n dr e s s u r e so ra r i o u se i g h tb or ota r e a sn d i c a t e d yh ea p .
W I N DR E S S U R E wH E NH EO R I Z O N T A LC R O S SE C T I O NQ U A R E RE C T A N G U L A R
H E I G H T A PR E A Sl o 5 0 5 0 5 0
I 2 0 530 to 49 I 20
[ 50 to 99 I 25 I 30 I 40 I 45 I 50 I 55 I 60
I 100 to 499 I 30 I 40 I 45 I 55 I 60 I 70 I 75
EXAMPLE
F i n dh ei n dr e s s u r e wr o ma p .
T h ee s s e l sn t e n d e d op e r a t e nk l a h o m a ,h i c hhir e sa r e aa r k e d0 . nh i sa pr e ah ei n dr e s s u r e soa r i oe i o
I nh ee i g h to n ee s sh a n 0t . 5b .e rq .tI nh ee i g h to n er o m 0 o 9t . 0b .e rq .t
F o ry l i n d r i c a lo w e rh e s ea l u e sh a l l eu l t i p l i e dh a pa c t.w i n dr e s s u r e ni f f e r e n to n e si l l e 5n d 8b e q te s p e c t
I fa n yq u i p m e n t sr et t a c h e d oh eo w e r t sd v i s a b l ei n c r ef a c t o ra c c o r d i n g or o w n e l l ) p o. 8 5o ry l i n d r i c a le s s e
U s e r s fe s s e l ss u a l l yp e c i f yo ra n u f a c t u r e r sh ei nr e s si te r e n c e oh ee i g h to n e s ra pr e a s .o rx a m p l e :l b es p e c i f i e dr e s s u r eh a l l eo n s i d e r e d o en i f o r mhh oe s
Relationbetweenwindpressureandwindvelocitywhenthe horizontalcrosssectioniscircular,isgivenby the formula:
Pw= 0.0025 X VW* w h e r e Ww i n dr e s s u rb e qVw = w i n de l o c i tp
E X A M P L E
W i n d f0 0p he l o c i t yx e r t sp r e s s u r e :
Pw= 0 . 0 0 2 5Vwz= 2 5o u n d se r s q u a r e f o o t p r e s s u r en t h e p r o j e c t e d a r e af a c y l iv e s s e l th e i g h t f 0e e tb o v er o u n d .
T h eo t a li n dr e s s u r e nt o w e r sh er o d u c thn ir e stp r o j e c t e dr e a fh eo w e r .i t ho o dr r a n g e m e n thq u i p mx
a r e a fh ei n da n ee d u c e do n s i d e r a b l y .o rx a m p l el o c a ta
9 0e g r e e sr o mh ea p o ri n e .
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58
D E S I G N FA L LO W E R S
WIND LOAD
~ =
v =hr(V- P.D, h,) t=R2n
N O T A T I O= W i d t h fh ee s s ei tn s u l a tt
E = E f f i c i e n c y fhe l d eo i n tr = L e v e rr m ,t .
= D i s t a n c er o ma se c t in do n s i dH,HIHZ= L e n g t h fe s s e le s s ee c t iM
t
h, MT= M a x i m u mo m e n ta ha s= M o m e n t te i g h t~ t b
~ - ~
- - d
=
R = M e a na d i u se s s e lnT
J_
s = S t r e s sa l u ea t e r i aa c t ut rv = T o t a lh e a r ,b .f = R e q u i r e dh i c k n e s s ,o r r o s ix c l u
D2
E X A M P L E :t G i v e n :4 ’ - 0 ”= =
= 4 ’ - 0 ”p s
Y~D e t e r m i n eh ei n do m e n t
= H1[2= 28’-0” = HI + (HZ12)= 78’-0PwX D X H = V X h = M
L o w e rI S e c t i o n 04 X 5 66 7 22 = 1 8 8I
1 ’D] U p p e ri h2S e c t i o n0 X 3 X 44 = 3,960 X 78 = 308,880
t :) 1
T o t a l= 1 0 , 6 8HI
M4 9 7l
M o m e n t th eo t t o ma n g e n ti n
h, MT=M – – 0 . 5– 4 - X X 4 X =
3 ’ - 6 ”
, ~ 4
E X A M P L E :
- N, G i v e n :1 = 3 ft. 6 in.P l a t f o r m
H = 100ft. Oin. hT = 4 ft. Oi
x 2
= p s f
D e t e r m i n eh ei n do m e n tk 5 1 = H12=4
50 f ti n
u Pw x D] X H = V X h, = Mz V e s s e l0 x 3.5 x 100 = 1 0 , 55 = 5% L a d d e r 09 8i n .t2 , 94 = 1
4 Flatform 30 x 8 lin. ft. = 2 49 = 2
‘ oT o t a l= 1 3 , 6= 6I I g
M o m e n t th eo t t o ma n g e ni n fz - g
‘ - “- l
k f ~M – hT(V – 0 .wD, h=)=II 6 9 2 , 1 0 04 ( 1 3 , 6 8 00 .3 X 3 .4 = 6
= 0 ’‘ -< ’ f
~ ’ m t =S E EX A M P L E SO RO M B I N EO AP
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59
D E S I G N FA L LO W E R S
WEIGHT OF THE VESSEL
The weight of the vessel results compressive stress only when eccentricity does not
exist and the resultant force c o i n c i d e si t hh ex i she s ss uc o m p r e s s i o nu e oh ee i g h t sn s i g n i f i c a n tn d soo n t r o l l i n
T h ee i g h th a l l ea l c u l a t e do rh ea r i o u so n d i t i o n sho wf o l
A .r e c t i o ne i g h t ,h i c hn c l u d e sh ee i g h t fh e :
1 .h e l l E q u i p m e n t s
2 .e a d s3 .n t e r n a ll a t eo r k 1 3n s u l a t i4 .r a yu p p o r t s 1 4i r e p r o o f i5 .n s u l a t i o ni n g s 1 5l a t f o6 .p e n i n g s 1 6a d d e7 .k i r t 1 7i p i n
8 .a s ei n g 1 8i s c e l l a n e o9 .n c h o ri n g
1 0 .n c h o ru g s1 1 .i s c e l l a n e o u s1 2 .6 9 % fh ee i g h t ft e m st h r o u g h 1o r
o v e r w e i g h t fh el a t e sn de i g h td d e d yt h ee l d i n g s
E r e c t i o ne i g h t :h eu m ft e m st h r o u g h8
B .p e r a t i n geight,whichincludesthe weight of the:
1 .e s s e l nr e c t i o no n d i t i o n2 .r a y s3 .p e r a t i n gi q u i d
C .e s te i g h t ,h i c hn c l u d e sh ee i g h t fh e :
1 .e s s e l nr e c t i o no n d i t i o n2 .e s ta t e r
T h eo m p r e s s i v et r e s su e oh ee i g h ti v e ny :
w= where S = u n i tt r e s s ,s iCt W= w e i g h t fe s s e lb o v eh ee c t i o nn d eo n s i d e r
c = c i r c u m f e r e n c e fh e l l rk i r the ai a m e
t = t h i c k n e s s fh eh e l l rk i r t ,n
T h ee i g h t fi f f e r e n te s s e ll e m e n t sr ei v e n na b l e se g i n n i np a
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60
D E S I G N FA L LO W E R S
V I B RAT I ON
A sr e s u l t fi n da l lo w e r se v e l o pi b r a t i o n .he r it i
s h o u l d ei m i t e d ,i n c ea r g ea t u r a le r i o d s fi b r a t i o naef a t aT h el l o w a b l ee r i o da se e no m p u t e dr o mh ea x i m u me r m i s se f
T h e oa l l e da r m o n i ci b r a t i o n so ti s c u s s e dh ia n d b oi t
a ss u a l l yp p l i e dn dh e i ru p p o r t sr e v e n th er i s i nt hr o b
F O R M U L A S
P e r i o d fi b r a t i o n ,sec.
( )F
= ~ z
D T
M a x i m u ml l o w a b l ee r i o d
o fi b r a t i o n ,e c . r0 .
N O T A T I O N
D = O u t s i d ei a m e t e r fe s s e l ,tH = L e n g t h fe s s e ln c l u d i n gk i r ttg = 3 2 . 2t .e re c .q u a r e d ,c c e l e r a t i ot = T h i c k n e s s fk i r t th ea s env = T o t a lh e a r ,b . ,e ea gw = W e i g h t fo w e r ,b .w = W e i g h t fo w e re ro o te i g h tb
E X A M P L E
G i v e n : e t e r m i n eh ec t u a lna x i m ul l o wp e r i o d fi b r a t i o n
D = 3 . 1 2 5t .i n .H = 1 0 0t .i n .
g = 3 2 . 2t l s e c 2t = 0 . 7 5v = 1 4 4 0b .
‘ =~ ’ ’ ’ ( $ z j e= ‘ “
w = l b .i np e r a t i n go n d i t i o n
=d
x 1 0~ ~ S ew = 1440 X 32.2 “ “
T h ec t u a li b r a t i o no e sox c e ha l l o w a b l ei b r a t i o n
R e f e r e n c e :r e e s e , .. :i b r a t i o n fe r t i c a lr e s s u r ee s sS a
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61
DESIGN OF TALLTOWERS
S LOAD (EARTHQUAKE)
The loading condition of a tower under seismic forces is similar to that of a
cantilever beam when the load increases uniformly toward the free end.The design method below is based on Uniform Building Code, 1991 (UBC).
FORMULAS
SHEAR MOMENT
F~~
t41 4 &l = [F, x H + (V – F,) x (2H/3)]
H13 Z[c ~ IWX= [F, x X forX S ‘isv—=
V — x Rw MX = [F, X X + (V -~j X (X – H/3)]
H for X > H13
4 ‘
B a s eh e a r
T h ea s eh e a r sh eo t a lo r i z o n t ae i sh
t h ea s e ft o w e r .h er i a n g u l a ro a d ia t
t h eh a p e fh eo w e rh e a ri a g r aue to that loading
are shown in Fig. (a) and (b). A portion Ft of totalS e i s m i co a d i n gi a g r a mo r i z o n t a le i s m i co r c eis assumed to be applied at
the top of the tower.The remainder of the base shear is
T
distributed throughout the length of the tower, includ-
ing the top.
O v e r t u r n i n go m e n t
The overturning moment at any level is the algebraic
sum of the moments of all the forces above that level.
NOTATION
C = Numericalcoefficient =1
(need not exceed 2.75)7?/3
;=NumeticalcOef ficient ‘:””:
= Outsidediameterof vessel ft
= Efficiencyof weldedjoints
(b)SeismichearDiagram F, = Total horizontal seismic force at top of thevessel, lb. determined from the following
formula:BaseS h e a r
F, = 0.07 TV (F,,need not exceed 0.25V)
= O, for T <0.7
H = Lengthof vessel includingskirt, ft.
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62
D E S I G N FA L LO W E R S
SEISMIC LOAD (EARTHQUAKE)
-0
rH
L
L. I
NOTATION
I = Occupancy importance coefficient (use 1.0 forvessels)
M = Maximum moment (at the base), ft-lb.
MX= Moment at distance X, ft-lb.
R =Meanradius of vessel, in.
Rw = Numerical coefficient (use 4 for vessels)
S =Sitecoefficient for soil characteristicsAsoilprofilewitheither:
(a)Arock-likematerialcharacterizedya sheu-wavevelocitygreaterhan2,500feesecondor byothersuitablemeansofclassification.
(b)Stiffordensesoilconditionwherethesoildepthis lessthan200feet.S = 1
Asoilprofilewithdenseorstiffsoilconditions, t hoepthexceeds200fes = 1.2
A soilprofile40 feetormoreindepthandcontainingmorethan20feetofsofttomediumtiffclaybutn~ morethan40feetofsoftclay.S =
Asoilprofilecontainingmorethan40 feetofsoftclay.S = 2.0
St = Allowable tensile stress of vessel plate materialpsi
T = Fundamental period of vibration, seconds
= c, Xt = Required corroded vessel thickness, in.
12 M or 12 M,.=
T R2Sr E TR2Sr E
V = Total seismic shear at base, lb.
W = Total weight of tower, lb.
Distance from top tangent line to the level undconsideration, ft.
Seismic zone factor,
0.075 for zone 1, 0.15 for zone 2A,
0.2 for zone 2B, 0.3 for zone 3,
0.4 for zone 4,(see map on the following pages for zoning)
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63
D E S I G N FA L LO W E R S
SEISMIC LOAD (EARTHQUAKE)
EXAMPLE‘
Given:
Seismiczone: 2B z = 0.2
D = 37.5 in. = 3.125 ft. X = 96 ft. Oin.
H = 100 ft., O in. W = 35,400 lb.
Determine: The overturning moment due to earthquake at the base andat a distance X from top tangent line
First, fundamental period of vibration shall be calculated
T = C, Xf13/4 = 0.035X 1003/4= 1.1 sec.
and
I 1, s = 1.5 Rw = 4,
c =.25S 1.25 X 1.5= = 1.76 <2.75
T213 1.1213
ZIC Xwv=
0.2 X 1 X 1.76=
Rw 4X 35,400= 3115lb.
~,= 0.07TV= 0.07 X 1.1 X3115 = 2401b.
M = [EH + (V - F’t)(2H/3) ] =
=[240 X 100 + 3115- 240)(2X 100/3)]= 216,625ft. lb.
x>H
— thus3
M = [Rx + (v– F) (X – H/3)] =
= [240X 100+ 3115- 240) (96 - 100/3)]= 205,125ft. -lb.
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66
D E S I G N FA L LO W E R S
ECCENTRIC LOAD
Towersand their i n t e r n a lq u i p m e n tr es u a l l yy m m e t r i c ar o ue
a x i sn dh u sh ee i g h t fh ee s s e le t s po m p r e s s i v et r en lq u
a t t a c h e d oh ee s s e l nh eu t s i d ea na u s en s y m m e t r i c a li s t r i bt
l o a d i n gu e oh ee i g h tn de s u l t ne n d i n gt r e s s .h in s y m m e t rr
m e n t fm a l lq u i p m e n t ,i p e sn dp e n i n g sa ye g l e c t e ue
s t r e s s e sx e r t e d ye a v yq u i p m e n tr ed d i t i o n a lhe n d it r ee sf r o mi n d re i s m i co a d .
F O R M U L A SeM O M E N TT R E S
E Q UT H I C
c 5
1 * ‘
M =~ = 1 We
nR 2t t=RznSE
—
I N O T A T I Oe = E c c e n t r i c i t y ,h ei s t a n c er oho wxc e
e c c e n t r i co a d ,t .
w = E f f i c i e n c y fe l d e do i n t s
; = M o m e n t fc c e n t r i co a dt b\ R = M e a na d i u s fe s s e l ,n
* -P s = S t r e s sa l u e fa t e r i a l ,c t ue n dt rt = T h i c k n e s s fe s s e l ,x c l u d i no r r o sl l ow = E c c e n t r i co a d ,b .
E X A M P L E
G i v e n := 4 ft. O m: Determinemoment,M, and stress, S.R = 15 in, M o m e n t ,= We = 1000 X 4 = ft = 0 . 2 5n .w = 1 0 0 0b . 2 e2 x 1000 x 4I J_ == 2
~ 3 . 1 41 50 ,
W h e nh e r e so r eh a nn ec c e n t r i co a d ,h eo m e n th as u m m
t a k i n gh ee s u l t a n t fl lc c e n t r i co a d s .
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67
Design of Tall Towers
ELASTIC STABILITY
A tower u n d e rx i a lo m p r e s s i o na ya i l nw oa y se c a u si n s t a b
1 . yu c k l i n g fh eh o l ee s s e lE u l e ru c k l i n g )2 . yo c a lu c k l i n gI nh i n - w a l l e de s s e l sw h e nh eh i c k n e s s fh eh e l le shn e -
t h en s i d e ”a d i u s )o c a lu c k l i n ga yc c u r tu n i to ae sh ahe q
t oa u s ea i l u r e fh eh o l ee s s e l .h eu t fo u n d n e s st hh ea vs i g n i f i c a n ta c t o r nh ee s u l t i n gn s t a b i l i t y .h eo r m u l a son v e s t i ge l a s t i ct a b i l i t yr ee n nh i sa n d b o o k ,e v e l o p e di l s one w
E l e m e n t s fh ee s s e ]h i c hr er i m a r i l ys e dot h eu r p
s u p p o r t s ,o w n c o m e ra r s )a y eo n s i d e r e dl s ot i f f e n e rg a iu ci fl o s e l yp a c e d .o n g i t u d i n a lt i f f e n e r sn c r e a s eh ei g i d i tf the tower moreeffectively than circumferential stiffeners. If the rings are not continuous aroundthe shell, its stiffening effect shall be calculated with the restrictions outlined i
t h eo d eC - 2 9c ) .
E X A M P L E
G i v e n := 1 8n .e t e r m i n eh eI l o w a b l eo m p r e s s i v et r et = 0 . 2 5n .
s1 , 5 0 0 , 0 0 0f 1 , 5 0 0 , 0 0 00 .= = = 2 0
Given: Ay = 1 sq. in.R 1
dy = 2 4n .
D e t e r m i n eh el l o w a b l eo m p r e s s i v et r esL o n g i t u d i n a lt i f f e n e rt i f f e n e ri n g s
i so ts e d ,h e n :s =’ 5 : ’ 0 0 0tx= t = 0.25 in.
1— =‘y = t + 24
1 , 5 0 0 , 0 0 0~ 0 . 2 50 . 22 2 .
= 0 . 2 50 . 0 40 . 2 98
R e f e r e n c e :i l s o n , .. ,n de w t n a r k .. :h et r e n g tT hy l i n
S h e l l s so l u m n s ,n g .x p .t a .n i v .l l .u l l .5 5 ,9 3 3 .
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68
D E S I G N FA L LO W E R S
D
rowers s h o u l d ee s i g n e d oe f l e c t oo r eh a ni n c h ee00 feet of height
r h ee f l e c t i o nu e oh ei n do a da y ea l c u l a t e du s io
m i f o r m l yo a d e da n t i l e v e re a m ”
A M F O R M U L
N O T A T I O N
AM = M a x i m u me f l e c t i o na ho p
D1 = W i d t h fh eo w ei tn s u l a t t
E = M o d u l u s fl a s t i c i t y ,s
H =e n g t h fe s s e l ,n c l u dk ir = R 3 n ,o m e n tn e r tohy l i.
( w h e n>lot)
R = M e a na d i u sho w e n
t = T h i c k n e s s fk i r tn
Pw = wind p r e s s u r e ,s
E X A M P L E
G i v e n :e t e r m i n eh ea x i m u me f l e c t i o n
= 2 f t . ,i n .
E = 30,000,000 PJI,H (12H)3
= 48 ft., Oin.AM=
H 8EI
I = ~
= 30 p s f0 x 2.5 x 48 (12 X 48)3 = 1
R = 1 2n .t = 0 . 3 1 2 5n .
‘ M8 x 3 0 , 0 0 0 , 0 0 01 23 .0 . 3
T h ea x i m u ml l o w a b l ee f l e c t i o ni n c h e se r0 0te i g h48 X 6
f o r8 ’ . ( ) ”~ = 2 . 8 8n .
S i n c eh ec t u a le f l e c t i o no e so tx c e e dh i si m i t ,he s i g nh i c kt s
s a t i s f a c t o r y .
A m e t h o do ra l c u l a t i n ge f l e c t i o n ,h e nh eh i c k n e st hon. “ S h o r tu te t h o doa l c u l a t io e f
kt a n t ,i v e n y . “a nv e m b e r9 6 8
H y d r o c a r b o nr o c e s s i n g
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6
D E S I G N FA L LO W E R S
COMBINATION OF STRESSES
T h et r e s s e sn d u c e d yh er e v i o u s l ye s c r i b e do a d i n ghallbe investigatedincombinationto establishthe governingstresses.
C o m b i n a t i o n fi n do a do ra r t h q u a k eo a d ) ,n t e r n aressure and weight oft h ee s s e l :
Stress Condition
A ti n d w a r di d e te e w a r di d
+ S t r e s su e oi n dS t r e s su i n
+ S t r e s su e on t .r e s s . .S t r e s su n tr e
– S t r e s su e oe i g h tS t r e s sue i g
C o m b i n a t i o n fi n do a do ra r t h q u a k eo a d ) ,x t e r n ar e s s et h ee s s e l :
S t r e s sondition
A tindward side At leeward side
+ Stress due to wind – Stress due to wind– Stress due to ext. press. – Stress due to ext. press.– Stress due to weight – Stress due to weight
T h eo s i t i v ei g n se n o t ee n s i o nn dh ee g a t i v ei g ne n oo m p r e
s u m m a t i o n fh et r e s s e sn d i c a t eh e t h e re n s i o no m p r e s sg o v
I t ss s u m e dh a ti n dn da r t h q u a k eo a d s ooc c ui m u l t a n e
t h eo w e rh o u l d ee s i g n e do ri t h e ri n da r t h q u a koh i
g r e a t e r .
B e n d i n gt r e s sa u s e d yc c e n t r i c i t yh a l l eu m m a r i z ei t
r e s u l t i n gr o mi n d ra r t h q u a k eo a d .
T h et r e s s e sh a l l ea l c u l a t e d th eo l l o w i n go c a t i o n s :
1. At the bottom of the tower2. At the joint of the skirt to the head3. A th eo t t o me a d oh eh e l lo i n t
4 . th a n g e s fi a m e t e r rh i c k n e s s fh ee s s e
T h et r e s s e su r t h e r m o r eh a l l ex a m i n e d nh eo l l o w i no n d i t i
1. D u r i n gr e c t i o n ri s m a n t l i n g
2 .u r i n ge s t
3 .u r i n gp e r a t i o n
U n d e rh e s ei f f e r e n to n d i t i o n s ,h ee i g h t fhe s s eno n s e q u
s t r e s so n d i t i o n sr el s oi f f e r e n t .e s i d e s ,u r i n gr e c t id i s m av e s s e l so tn d e rn t e r n a l rx t e r n a lr e s s u r e .
F o rn a l y z i n gh et r e n g t h fa l lo w e r sn d e ra r i oo a dt
H a n d b o o k ,h ea x i m u mt r e s sh e o r yas been applied.
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70
C OS (cont.)
The b e n d i n go m e n tu e oi n d se c r e a s i n gr o mho t tt tt o w e r ,h u sh el a t eh i c k n e s sa nl s o ee c r e a s e dc c o r d i n g l yT a b l ea n di g u r ea r eo n v e n i e n ti d s oi n dhi s t a no r
t o p fh eo w e ro rh i c hc e r t a i nh i c k n e s s sd e q u a t e
0.5 0 . 6 . 9. ( ). 1. . . 1m 1 . 0
1 . 8. 9. 0. 2. 4. 6. 8. 0. . 5
m 0.53 0.51 0.50 0.48 0.46 0.44 0.42 0.41 ().39 ().37 ()<350.33 0.3
T A B L E ,A L U E S FA C T O R
S i n c eh eo n g i t u d i n a lt r e s su en t e r n ar e s soA \ t h ei r c u m f e r e n t i a lt r e s s ,n ea l fhe q u i ah i
f o rn t e r n a lr e s s u r e sv a i l a b l ee s i she n dot
xw i n d .r o ma b l e ,s i n ga c t o rc af o ui sd o w nr o mh eo pa n g e n ti n ei t h i nh i chh i c
l a t e do rn t e r n a lr e s s u r ea t i s f a c t o r yl sr e swH
t =
p r e s s u r e .
x = H x m
tp = T h ee q u i r e dh i c k n e s so rn t e r n ar e s s( H o o pe n s i o n )n .
t wT h ee q u i r e dh i c k n e s so ri nr e s s ut oj o i n t oh e l l ,n .
E X A M P L E :0 . 2 3 3n . , W0 . 6 4 4n .=
k = 100 ft.F r o ma b l e= 0 . 4 3n d= mH = 0.43 X 1 043 f
z
5g
b
5
E
QQx
10 . 1
R a t i o fl a t eh i c k n e s se q u i r e d th ei g .
b o t t o mt r / 2t w ) oh i c k n e s se q u i r e d
a th eo n s i d e r e de i g h t .
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71
DESIGN OF TALL TOWERS
EXAMPLE - A
Requiredthicknessof cylindricalshellunder internal pressureand wind load.~,-~,,
~D E S I G NO N D I T I O N S
D = 2 ft. Oin. insidediameterof vesselA D1 = 2 ft. 6 in. width of towerwith insulation,etc.
E = 0.85 e f f i c i e n c y fe l d e do i nH = 4 8t .i n .e n g t ho w e
:o hT = 4 f t .i n .i s t a n c er oha st o
h e a d oh e l lo i n t“ mv : 4 P = 2 5 0s in t e r n a lr e s s u r eII
o Pw = 3 0s fi n dr e s s u r ez -em R = 1 2n .n s i d ea d i u se s s e
: I Io = 1 3 7 5 0s it r e s sa l u e8m a t e r i a l t0 0 ” Fe m p e r a t u r e
*=
\ v = T o t a lh e a rb .
N ol l o w a n c eo ro r r o s i o n .
M i n i m u me q u i r e dh i c k n e s so rn t e r n a lr e s s u r eo n s i d e r i n gh et r e n g tt hoe
PR 250 X 12 3000t = - =0.260 i
= SE – 0.6P = 13,750 X 0.85 – 0.6 x 250 11,538
Minimumrequiredthicknessfor internalpressureconsideringthe strengthof thegirthseams:
PR 250 X 12 3,000t
= 2SE + 0.4P
=0.128 in.= 2 X 1 3 , 7 5 00 . 8 50 . 42 52 3 , 4
R e q u i r e dh i c k n e s so ro n g i t u d i n a le n d i n gu e oi n dr e s s u r e .o m e nt ha M
PWx D1 X H = v X h] = M3 02 . 54 83 , 6 0 02 48 6 , 4 0 0t .b .
M o m e n t th eo t t o me a m~ = )
MT = M – IIT(V – 0.5 PwD, h=j= 86,400- 4(3,600 – 0.5 x 30 X 2.5 x 4)= 86,400 – 13,800 = 72,600ft. lb. = 72,600 x 12 = 871,200in. lb.
Requiredthickness:
MT 8 7 1 , 2 0 07 1 , 2 0= 0 . 1t = R 2S E1 2 23 . 1 41 3 , 7 5 00 4 8 55 , 2 8 7 , 5 2
T h ee q u i r e dh i c k n e s sa l c u l a t e di t hh et r e n g t h fh eo t t o mi r te a
F o ri n dr e s s u r e. 1 6 5n .F o rn t .r e s s u r e. 1 2 8n .
T O T A L. 2 9 3h i s sr e a t e rh a nh eh i c k n e sa l c u l
t h et r e n g t h fh eo n g i t u d i n a le ah e r e fm i n i m u mh i c k n e s s. 2 9 3nh au s
to
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73
EXAMPLE B (CONT.)
The preliminary calculation of the required wall thick-ness shows that at the bottom approximately 0.75 in.
A 4 plate is required,to withstandthewindload andinternal
pressure, while at the top the wind load is not factor:o - and for internalpressure(hoop tension)only0.25 plate“mN is satisfactory.F o rc o n o m i c a le a s oi a d v i
“ ~u s ei f f e r e n tl a t eh i c k n e s s e sa r i oe itt o w e r .T h eh i c k n e s se q u i r e do ro oe n s i0 .et oe s i s tl s oh ei n do a dc e r t ai s t
: :o 0 : 0r o mh eo p ., , ~ F i n dh i si s t a n c eX )r o ma b lP a- o ~o t w / t p0 . 2 3 3 / 0 . 6 4 42 . 7h e= 0 .H = 4 f
~ F r o mi a g r a m ,a g e 0af o ue q:o b .h i c k n e s sn de n g t h fhn t e r m e d i ahe ct “ mU s i n gf t .i d el a t e s ,he s s eh ac o n s
- e .m o f r o m ::o 1 ( 5 ). 2 5h i c kf t .i d eo u r s e
( 4 ). 5 0h i c kf t .i d eo u r s eft - e( 3 ). 7 5h i c kf t .i d eo u r s ef
# T o t a
W E I G H T FH EO W E R( S e ea b l e se g i n n i n g na g e7 4
S h e l l 09 78 8 0kirt 4 x 195 73 21 9 52 4 0a s ei n g2 42 9 40 5 6n c h o ri n g
H e a do p. 3 1 2 5o m .6 0n c h o ru gb e t .. 8 1 2 5o m .9 3 1 8
I n t .l a t eo r k 0 0T r a yu p p o r t s
+ 61 1 0
I n s u l a t i o ni n g s 2 0 1 9
O p e n i n g9 0 0a 0
1 9 7 5 9n s u l a t i o n 6
+ 6 %1 8 4l a t f o r m 1L a d d e r 8
2 0 9 4 3b .P i p i n g 4S a y1 , 0 0 0
9960
S a 0 ,
T C Y I ’ A LR E C T I O NE I G H T :3 , 0 0 0b .
T r a y s 6 0 0O p e r a t i n gi q u i d 4 0 0
3 0 0 0b .+ E r e c t i o nt .
3 3 , 0 0 0b .
T O T A LP E R A T I N GEIGHT: 36.000 lb.
Test water 42,000 lb.+ Erection Wt. 33,000 lb.
TOTALTEST WEIGHT: 75,000 lb.—For weight of water content, see rage 416
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74
E B (
Checkingthe stresseswith the preliminarycalculatedplatethicknesses:Stress inthe shellat the bottomhead to shelljoint:P l a t eh i c k n e s s. 7 5n .
P D5 03 6 . 7 5S t r e s su e on t e r n a lr e s s u r e= ~ = = 1 8 3s4 x
X 6 3 8 , 2S t r e s su e oi n d = = 9 ,
Rz n t = 1 8 . 3 7 5 23 . 10 .w 3 1 , 0 0 0
S t r e s su e oe i g h t ,= — =3 5
i nr e c t i o no n d i t i o n1 1 5 . 50 7
w 3 4 , 0 0 0i np e r a t i n go n d i t i o n=—= = 3 9
C m t1 5 . 50 . 7
C O M B I N A T I O N FT R E S S E S
W I N D W A R DI D E E E W A RI
I NM P T YE R E C T I O N )O N D I T I O N
S t r e s su e oi n d9 , 6 4 0t r e s su i n9 ,
Stress due to weight – 3 5 8tress due to weight – 3
+ 9 , 2 8 2s i– 9 ,
( N on t .r e s s u r eu r i n gr e c t i o n )
I NP E R A T I N GO N D I T I O N
S t r e s su e on t .r e s s .1 , 8 3 7t r e s su i n9 ,S t r e s su e oi n d9 , 6 4 0tress due to weight – 3
+ 1 1 , 4 7 7 - - 1Stress due to weight – 3 9 2t r e s su n tr e s1 ,
I+ 1 1 , 0 8 5s i 8 ,
T h ee n s i l et r e s s1 , 0 8 5s i np e r a t i n go n d i t i o nhi n d woT h el l o w a b l et r e s so rh el a t ea t e r i a li t h. 8 5o i nf f i c i e1 1T h u sh ee l e c t e d. 7 5n .h i c kl a t e th eo t t o mhe ss a t i
S t r e s s nh eh e l l t 2t .o w nr o mh eo p fo w e rl ah i c k
S t r e s su e oi n d .A
A 1 7 ,x
PW x D] x X = V x ; = Mx ‘o i
Shell-m 3 03 . 57 7 , 5 63 = 2 7e ‘ o ol a t f o r m 08 l i n . - f t .240 x 68 = 1 6I I 0 ma d d e r 07 0i n . - f t .2 , 1 03 = 7 3
* b m T o t a lo m e n tX = 3 6
1 2 r 23 6 1 , 9 8
1 v Ts =
R zt 1 8 . 2 5 23 . 10 .8 ’
S t r e s su e on t e r n a lr e s s u r e( A sa l c u l a t e dr e v i o u s l y )1 ,
T o t0
T h ea l c u l a t i o n ft r e s s e s th eo t t o me a da sh o wh aht r tw i n d w a r di d e np e r a t i n go n d i t i o no v e r nn dhf f e ct he in i f i c a n t .h e r e f o r ei t h o u tu r t h e ra l c u l a t i o n ta e eh e1 0 , 1 4 2s io e so tx c e e dh el l o w a b l et r e s s1 , 6 8 7 . 5s ih e li n .h i c kl a t e sa t i s f a c t o r y .
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75
EXAMPLE B (CONT.)
Stressin the shellat 40 ft. downfrom the top of the tower. Platethickness0.25in.
S t r e s su e oi n d .
PW x D1 X X = v X : = Mx
S h e l l0 x 3.5 X 40 = 4,200 X 20 = 8 4P l a t f o r m0 x 8 lin. ft. = 240 x 36 = 8 ,L a d d e r0 x 38 lint ft. = 1,140 x 19 = 2 1
T o t a lo m e n tv . f X1 1 4
s =2 , 21 1 4 , 3 0
RI n t = 1 8 . 1 2 5 13 . 10 . 2= 5 ,
S t r e s su e on t e r n a lr e s s u r e( A sa l c u l a t e dr e v i o u s l y ) 1 ,
T o t ,
T h e. 2 5n .h i c kl a t eo rh e l l t 0t .i s t a n c er oot o
s a t i s f a c t o r y . ou r t h e ra l c u l a t i o n se q u i r e d nh ea me a s oe n t i b
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76
DESIGN OF SKIRT SUPPORT
A skirt is the most frequentlyu s e dn dh eo s ta t i s f a c t o r yu p pev e s s e l s . t st t a c h e d yo n t i n u o u se l d i n g oh ee ans u ae qs i z e fh i se l d i n ge t e r m i n e sh eh i c k n e s s fh ek i r t
F i g u r e sa n ds h o wh eo s to m m o ny p e fk i rh e at t a c hc a l c u l a t i o n fh ee q u i r e de l di z e ,h ea l u e s fo i nf f i c i ei tC o d eU ’ W2 )a y es e d .
E X A M P L EG i v e nh ea m ee s s e lo n s i d e r e d nx a m p l e
D = 37.5 in.S = 18,000*stressvalue
E“ = 0.60 for butt joint of SA-285-Cplate
MT = 6 3 8 , 2 2 0t .b .= 3 1 , 0 0 0b
R = 18.75 in.* F o rt m c t u r a lu r p o s e
D e t e r m i n eh ee q u i r e dk i r th i c k n e s s .
F o ri n d=1 2T 1 26 3 8 , 2 2 0
= 0 . 6R2 ~ SE = 1 8 . 7 5 23 . 1 41 8 , 0 0 0.
F o re i g h t=w 3 1 , 0 0 0
= 0 . 0D X 3 . 1 4SE= 3 7 . 53 , 1 41 8 , 0 0 00 .
T ( Y f A L0 . 6
U s e 4 6 ”h i c kl a t eok i r t
R E F E R E N C E S :h e r m i i l
8
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77
IDESIGN OF ANCHOR BOLT
V e r t i c a le s s e l s ,t a c k sn do w e r su s t ea s t e n e d ohe c fs k i d rt h e rt r u c t u r a lr a m e ye a n s fn c h o ro l t sn hab e ar i n g .
The number of anchor bolts. The anchor bolts m u s tn multiple of four andfor tall towers it is preferred to use minimum eight bolts.
Spacing of anchor bolts. The strength of too closely spaced anchor bolts is notfully developed in concrete foundation. It is advisable to set the anchor bolts notcloser than about 18 inches. To hold this minimum spacing, in the case of smalldiameter vessel the enlarging of the bolt circle may be necessary by using conicalskirt or wider base ring with gussets.
Diameter of anchor bolts. Computing the required size of bolts the area withinthe root of the threads only can be taken into consideration. The root areas ofbolts are shown below in Table A. For corrosion allowance one eighth of an inchshould be added to the calculated diameter of anchor bolts.
For anchor bolts and base design on the following pages are described:
1. An approximate method which may be satisfactory in a number of cases.2. A method which offers closer investigation when the loading conditions and
other circumstances make it necessary.?
13 12 TABLE B
Q
NUMBEROF ANCHOR BOLTSTABLE A I Diameter of Minimum Maximum
Bolt circle in.
Bolt Bolt * Dimensionn.RootArea- 24 to 36 4 4Sizes q .n . 2 3
t o 48
Y 2 / 80 o 81
0 . 1 2 6/ 8
5 / 88 4 o0 22
0 . 2 0 23 / 4
3 A 3 / 60 8 o2 62
0 . 3 0 2- 1 / 8
x1 3 2 o4 40 24
1 5 /
1 1 - 3 / 8- 1 / 1 6
l %. 6 9 3- 1 / 2- 1 / 8l x. 8 9 0- 3 / 4- 1 / 4A B L E
1 3 A. 0 5 4- 7 / 8- 3 / 8A X I M U ML L O W A B L ET R E S
l %. 2 9 41 - 1 / 2O L T SS E DN C H O1 5 A. 5 1 5- 1 / 8- 5 / 8S p e c i f i c a t i o nD i a m e t enal
1 3 4. 7 4 4- 1 4- 3 / 4u m b e r t r1 7 A. 0 4 9- 3 / 8- 7 / 82 2 . 3 0 0- 1 / 2S A2 5li a m e t e r5z %3 . 0 2 0- 3 / 4- 1 / 4A 193 B 7 2 %nn d 82 %. 7 1 53 - 1 / 1 6- : ; ; A9 31 6 %nn d 8
2 %. 6 1 8- 3 / 8SA 193 B 7 O v e r 2 Y 2on c6
3 5 . 6 2 1- 5 / 8- 7 / 8 A9 31 6v e r 2 %on c5
4* F o ro l t si t ht a n d a r dh r e a d s .
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D O A B
(
A simple method for the design of anchor bolts is to assume the bolts replaced by acontinuous ring whose diameter is equal to the bolt circle.
The required area of bolts shall be calculated for empty condition of tower.
FORMULAS
Maximum~= 12iu w—.—
Tension lb./lin. in. TA8 Ce
Required Area of B,= ;+OneBolt Sq. - in.
S t r e s s nnchor TC8sg - b. N—
B o l ts i .
AB =C* =M=N=SB =w=
N ~ A T I O N
A r e ai t h i nh eo l ti r c l e ,q .n .C i r c u m f e r e n c e fo l ti r c l en .M o m e n t th ea s eu e oi n d ra r t h q u k e ,t bN u m b e r fn c h o ro l t sM a x i m u ml l o w a b l et r e s sa l u e fo l ta t e r i a ls iW e i g h t fh ee s s e lu r i n gr e c t i o n ,b .
E X A M P L E
A~ = 7 0 7q .n .CB = 9 4n .
8 6 4 0 0t .b .
G i v e no l ti r c l e3 0n . ;h e n :e t e r m i n eh ei znu m br e qa n c h o ro l t s .
1 28 6 , 4 0, 0T= – — = 1 , b
7 0 7M-=w=SB =
N=
6 0 0 0b .u r i n gr e c t i o n .4 0 291 5 0 0 0s i .h ea x i m u m ~= 42.196 sq. in. -
a l l o w a b l et r e s sa l u e ft h en c h o ro l ta t e r i a l -r o ma b l ea gt hc r4 n u m b e rfbolts. 2 “o l t s. 3 0 0q n(SeeTableB on the A d d i n g. 1 2 5norcorrosion,use:PrecedingPage) (4)2Y’”bolts.
C h e c k i n gt r e s sn c ho l
1,402X 94 –SB= 14,324p2 . 3 0 04
S i n c eh ea x i m u ml l o w at r1 5 , 0 0 0s i ,he l e c tu mo fo l t sr ea t i s f a c t o r y
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79
D O B R
b ea r g en o u gd i s t rl o a dn i f o r m l y nh eo n c r e t eo u n d a t i o nn dh u sox c el l
b e a r i n go a d fh eo u n d a t i o n .T h eh i c k n e s s fh ea s ei n gh a l le s i s th ee n d i n gt r e sn d uwe a r t h q u a k e .
F O R M U L A S
M a x i m u mo m p r e s s i o n- 1
,l b . / 1 i n .n .~ . 1 2c A, C,
m i n .1 1p p r o x i m a t ei d t h f
- B a s eing in. “tIs 12
t* _Di Approximate Thicknessof BaseRing in.
t8=
B e a r i n gt r e s ss i. ~
. 9+ D oe n d i n gt r e s ss i= 3 x s,1;
t52
N ~ A T I O NAR = Areao fa s ei n g0 . 7 8 5 4D Z OD z i )q .n .As = A r e ai t h i nh ek i r t ,q .n .
= C i r c u m f e r e n c e n. D . fk i r t ,n .
; sS a f ee a r i n go a d no n c r e t e ,s i .e ea b l e ,h g= Cantileverinsideor outside,whicheveris greater,in.
l: 13= Dimensions,as shownon sketchabove.(ForminimumdimensionsseeTableA on page77)
M = Momentat the base due t oi n d ra r t h q u a k e ,t b
W = W e i g h t fe s s e lu r i n gp e r a t i o n re s t ,b .
E X A M P L E
G i v e n : e t e r m i n eh ei n i m u mi d tnh i c k= 8 6 , 4 0 0t .b . fa s ei n go rp e r a t i n go n d i t i o
; = 500 psi from 12 x 86,400 7,500TableE Page 80 Pc = + = 2 , 2b . / l i
W = 7,500lb. operating 4 7 6
1 8 , 0 0 0b .e s t, 2 7 5
A n c h o ro l t s :4 ) An .= 5(3(3 = 4 . 5 5n . ,ur oa bp at
O . D . fk i r t4 . 6 2 5n . m i n i m ui m e n s=
T h e ns = 4 7 6q .n . 2 y n n o= 2V4mt
C $7 7n .u s’ /ni a i
r~ = 0.32 x 5 = 1.60 in.U s e %n .h i c ka s ei n g
C h e c k i n gt r e s s e s :
S = 2,273 X 77 = 305 psi S – 3 x 305 X 52 = 10,167 psi1 5 7 4e a r i n gt r e s s . 5 2e n d it r
C
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80
DESIGN OF ANCHOR BOLT AND BASE RING
Whena tower is under wind or earthquakeload, on the windwardside tensional
stressarisesin the steel and on the oppositesidecompressivestressin the concretefoundation. It is obviousthen that the areaof the boltingandthe areaof the basering are related. As the anchor bolt area increased,the base ring area can bedecreased. Withthe designmethod givenhere, the minimumrequiredanchorboltarea for a practicalsizeof base ring can be found. me strengthOfthe steel andthe concrete is different, therefore, the neutral axis does not coincidewith thecenterlineof the skirt.
1 .
4 .
Sa
T A B L EV a l u e s fo n s t a n t s
a su n c t i o n s fk I1
0 . 6 0 0: : :
z
O::s:
T A B L E
f cs i
fb
n
D e t e r m i n eh ea l ukC a l c u l a t eh ee q u i r ei ua n c h o ro l t s .ea gT a bD e t e r m i n eh en s i d
C h e c kh et r e s s et hn c of o u n d a t i o nI fh ee v i a t i o ne t w e hl l oa c t u a lt r e s s e sr oa rec a l c u l a t i o nC a l c u l a t eh ea si nh i c k nU s eu s s e tl a t e sn c hc o m p r e s s i o ni ni n e c e ss t r e s si s t r i b u t i o nha is k
F
a X YU s e. ,
/1 1
b
0.500
0.667
1.0001 . 5 0 0
2 . 0 0 0
3 . 0 0 0
0 0
2 0 0 0I 2 s 0 0I II I I
8 0 00001 1 I
1 I 1
8
M
O.000
0 . 0 0 7 8
0.0293&b’
0.0558f.b2
o.0972f,b2
0.123fcb20.131f.bz0 . 1 3b
0 . 1 3,b2
I
M
- O .
– 0 . 4
- o .
– 0 . 2
- 0. Ii
-0.1245 b
- 0 .
- 0 .
- 0 .
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81
DESIGN OF ANCHOR BOLT AND BASE RING
F O R M U L A S
19 9
* —— k/(.= I
1 +
~4 Bt - 1
+ I
i& ‘~b~
v
ILb ‘f, z:::/t I
1. -T e n s i l eo a d nn c h o ro l t s ,b. M
(
B
T e n s i l et r e s s nn c h o ro l t s ,as i
b -.at h e,=~
Fc,W
E ~
t CirCk. @. “b= (/4 + ;,)
St B
tB= il
1B a s ei n gh i c k n e s si t hu s s e tp l a t e ,B ,n . B
N O T A T I O N
b = Thedistancebetweengussetplates,measuredon arc of boltcirclein.= T o t a lr e ae q u i r e do rn c h o ro l tq .n .
C C , C ,C o n s t a n t s ,e ea b l eo nh er e c e d i n ga g e .d = D i a m e t e r fn c h o ro l ti r c l e ,n .
= D i a m e t e r fn c h o ro l ti r c l e ,t .
: = C o m p r e s s i v et r e s s nh eo n c r e t e th eu t e rd gt ha i
= C o m p r e s s i v et r e s s nh eo n c r e t e th eo l ti r c l es ij = C o n s t a n t ,e ea b l eo nh er e c e d i n ga g e .1 41 – t ,n .w i d t h fh ea s ei n g ,n .M = M o m e n t th ea s eu e oi n d ra r t h q u a k et bM = o rh i c h e v e r sr e a t e r .e ea b l eo hr e c e dan = R a t i o fo d u l u s fl a s t i c i t y ft e e ln do n c r e t es / E ea
= R a d i u s fo l ti r c l e ,n .: .T e n s i l et r e s s nn c h o ro l t s ,s i .s = M a x i m u ml l o w a b l et r e s sa l u e fa s el a t e ,s iw = W e i g h t fh eo w e r th ea s e ,b .z = C o n s t a n t .e ea b l eo nh er e c e d i n ga g e .
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82
DESIGN OF ANCHOR BOLT AND BASE RING
EXAMPLE
DESIGNDATA: DETERMINE:D = 5 f t . ,i n .i a m e t e r fn c h o ro l ti r c l e .hi u
d = in. diameterof anchorbolt circle. anchorbolts;n = 1 0 ,a t i o fo d u l u s fl a s t i c i t y ft e e lhi dh i
a n do n c r e t eT a b l e .a g e0 )b a i
f= = 1 , 2 0 0s il l o w a b l eo m p r .t r e n g t h fc o n c r e t eT a b l e ,a g e0 )
1 = 6)1
s = 1 5 , 0 0 0s il l o w a b l et r e s sa l u e fa s er i n g .
= 1 8 , 0 0 0s il l o w a b l ee n s i l et r e s s no l t s .w = 3 6 , 0 0 0b .e i g h t fh eo w e r .M = 6 9 2 , 1 0 0t .b .o m e n t th ea s e .
S O L U T I O N :A s s u m ei n .i d ea s ei n gn dc o m p r e s s i v et r e s sho li r c.- = 1,Ooopsi
T h eho n s t ar
1 1 T a b la r= 0.35 cc = 1.640
1 + Sa ‘ 1 +8 , 0 0 0= 2 . 3
‘fctj 1 01 , 0 0 0j = 0 . 7z = 0 . 4
2 k d2N 2 x 0.35 X 60T hi s u f f
f c bfc — .2kd * 1 ‘ 2 x 0.35 X 60 X 8
= 1 , 0 0 8e i sv a lfCb= 1
R e q u i r e dr e a fn c h o ro l t s
B, = 2 n1 2 MW z d~ ; 8 26 9 2 ) 1 0 03 6 ~0 “ 4 2w
= 2 3iC, S. jd “ 2 , 3 3 31 8 , 0 0 00 . 7 86
U s i n g 2n c h o ro l t s ,h ee q u i r e do o tr e ao rn eo l2 3 . 5 0 / 1 21 . 9 5 8n .
F r o ma b l e1 ? 4 8n .i a m e t e ro l to u l d ea t i s f a c t o r yud d ii o r
use(12) -2 in. diameteranchorbolts.Tensileload on the anchorbolts
M– W z6 9 2 , 1 0 03 6 , 0 0 00 . 4 2 75 = 1 5 5= =
0 . 7 8 359
jD
T e n s i l et r e s s nh en c h o ro l t s
s. = ~:; =157,150
0.125 X 3 02 . 3 3 31 7 , 9 6 0s i
2 3 . 5 0= = i n .
~d = 3.14 x 60
C o m p r e s s i v eo a d nh eo n c r e t e :’ d1 – t .8 .0 . 1 27 . 8
F. 193,150= r = ( 7 . 8 7 51 00 . 1 2 5 ) 01 . 6 44 3
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DESIGN OF ANCHOR BOLT AND BASE RING
EXAMPLE (CONT.)
Checkingvalueofkwhichwascalculatedwithassumedvaluesof~,~= 1,000psiandS. = 18,000
Thentheconstantsrom
k=1 1
= 0.19T a b la r
I + S _1 +7 , 9 6 01 . 1c 2 . 6
‘fCb xj =
z = 0.461
=M – 692,100 – 36,000 X 0 . 4 6 15
= 1 5 7 , 1jD = x 5
Sa = F, 1 5 7 , 1 9 2
= 0 . 1 2 53 02 . 6 8 31 5 , 6 2 4s
r~rCf
= + W = 157,192 + 36,000 = 193,192lb,
fcb =FC 193,192
(14 + n fsjrCC= ( 7 . 8 7 51 00 . 1 2 5 ) 01 . 1 8= 5 9
C o m p r e s s i v et r e s s nh en c h o ro l t s :S .n f , b1 05 9 65 , 9 6 0s i
C o m p r e s s i v et r e s s nh eo n c r e t e th eu t e rd g e fha si n
fc = fcb x 2 :M+ 1= 596 X2 X 0.19 X 60 + 8
2 X 0.19 X 60 = 8 0 s
R e q u i r e dh i c k n e s s fa s ei n g ,6 i n ,
d
3 X 805tB= 11~ = 6 = 2.406 i n .
1 5 , 0 0 0
T oe c r e a s eh eh i c k n e s s fh ea s ei n g ,s eu s s e tl a t e sU s i n g2 4 )u s s e tl a t e s ,h ei s t a n c ee t w e e nh eu s s e t s ,
b=~d 6— = 7.85” ; ~ = —24 b 7.85
= 0.764
f r o ma b l e := M Y0 . 1 9 6C1,2= 0.196 x 8 0 5& = 5 6 8n b
: m ~ e =. 5 0 7 6n .s eM ”n .h i c ka s el a t e
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84
ANCHOR BOLT CHAIR FOR TALL TOWERS
Thechairsaredesignedfor themaximumloadwhichthe bolt can transmitto them.The anchor b o l ti z en da s el a t eh a l l ea l c u l a t e de s c r itg o i n ga g e s .
A l lo n t a c t i n gd g e s fh el a t e sh a l l ee l d e di t ho n t i n u o ui l el e gi z e fh ei l l e te l dh a l l en ea l f fh eh i n n eo i n il ah i c
-
1
.T h eb o v ea b l e sa k e nr o mc h e i m a n. D .h o r tu tA n c ho lB a s ei n gi z i n g .e t r o l e u me f i n e r ,u n e9 6 3 .
DIMENSIONS inches
hchorbolt dim A
B c D E F G
1 3 2 1 1
1 3 11 2 3 1 1 1
4 3 11 4 3 518 11/4 13/4 2ls/~ 23f~ 4 3 5fa 11/4 1lj~ 21/8
13/4 2 5 3 1 2
5 3 1 / z/ 41 / 1
2 2 s / e5 32 3 6 4 1 13 /1
3lj~ 6 4 1 2 32 3 7 5 1 2 3 3
3 7 5 1 2 3 3
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86
STRESSESINLARGE
H V
SUPPORTEDBY SADDLES
The design methods of supports for horizontal vessels are based on L. P. Zick’sanalysis presented in 1951. The ASME published Zick’s work (Pressure Vesseland Piping Design) as recommended practice. The API Standard 2510 also refersto the anaIysis of Zick. The British Standard 1515 adopted this method withslight modification and further refinement. Zick’s work has also been used indifferent studies published in books and various technical periodicals.
The design method of this Handbook is based on the revised analysis mentioned
above. (Pressure Vessel and Piping; Design and Analysis, ASME, 1972)
A horizontalvesselon saddlesupport actsas a beamwith the followingdeviations
1. Theloadingconditionsare differentfor a full or partiallyfilledvessel.
2. vesselvary accordingto the angleincludedby the saddles
3. The load due to the weight of the vesselis combined with other loads.
LOADINGS:
1. aa
2. Internal Pressure. Since the longitudinal stress in the vessel is only one half ofthe circumferential stress, about one half of the actually used plate thicknessis availableto resist the load of the weight.
3. External Pressure. If the vessel is not designed for full vacuum because vacuumoccurs incidentally only, a vacuum relief valve should be provided especiallywhen the vesseloutlet is connected to a pump.
4. Wind load< Long vesselswith very small t/r valuesare subject to distortion
from wind pressure. According to Zick “experience indicates that a vessedesignedto 1 psi. external pressurecan successfullyresist external loads en-counteredin normaIservice.”
5.
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87
LOCATIONOF SADDLES.
The use of only two saddles is preferred both statically and economicallyoverthe multiple support system, this is true even if the use of stiffener rings isnecessary. The location of the saddles is sometimes determined by the locationof openings, sumps, etc., in the bottom of the vessel. If this is not the case,
then the saddles can be placed at the statically optimal point. Thin walledvessels with a large diameter are best supported near the heads, so as to utilize
the stiffening effect of the heads. Long thick wa led vessels are best supportedwhere the maximal longitudinal bending stress at the saddles is nearly equal to thestress at the midspan. This point varies with the contact angle of the saddles. Thedistance between the head tangent line and the saddle shall in no casebe more than0.2 times the length of the vessel. (L)
Contact Angle O
The minimum contact angle suggested by the ASME Code is 120°, except for
very small vessels. (Code Appendix G-6). For unstiffened cylinders under exter-nal pressure the contact angle is mandatorily limited to 120° by the ASME Code.
(UG-29).
Vessels supported by saddles are subject to:
1. Longitudinal bending stress
2. Tangential shear stress
3. Circumferential stress
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1
STRESSES IN VESSELS ON TWO SADDLES
R
~
o t~ ==
A m
QC o n t an gs a
. A
:4~d * S e eo t e na c i n ga g e~ $L -~ v lZ &AT
()
]+2~ 4AYYoAm MIDSPAN QLAu (Tensio~at
—-
uJ~ ihe Bottom 4 4H - Tz: Compression 1 ‘z-
0 the *
r R2ts
Max. Allow.Stress
I 1 p l ti n t e r n ar e s sP Re x c e ehl l o wt
S1
d
n IN K4 Q< S* – ~ts
-—
w SHELL=0*Q~ti K4Q
INq I/l
=—HEAD Ilth
u<mUJA ADDl-n TIONAL
K5Qa
STRESSS3. = ~
-$ [NHEAD
M Q 3K6Qw -—
?(:=-~t~(b+l5@s) -2z AT
,J Q HORN
3 g SA%LE s4=– Q i2&QR—
‘j 34 t ~ ( b +. 5 ~ s )t$
: Et AT K7Q“L~ BOTTOM s5=–,=0 .= O Fs(b+1.56@@,=L 3 SHELL
e x cta l l o w a b lt r eavt e r i a l
S3 plus stress
.r i no
S4 tim
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89
STRESSES IN VESSELS ON TWO SADDLES
~ NOTES: I
YY
JJ positive Values denote t e n s i l etresses and negative values denote compression.$4~ E z Modulus of elasticity of shell or stiffener ring materidpound per square inch
D~~ The maximum bending stress S1may be either tension or compression.
z Computing the tension stress in the formula for S1, for factor K the values ofw K1 shall be used.m~ Computing the compression stress in the formula for S1, for factor K the values4 of K8 shall be used.~
When the shell is stiffened, the value of factor K =n
3.14 in the formula for S1.
~ The compression stress is not factor in a steel vesselwhere t/R SO.005 and the~ vesselis designedto be fully stressed under internal pressure.uz Use stiffener ring if stress S1 exceeds the maximum allowablestress.~
If wear plate is used, in formulas for S2 for the thickness ts may be taken the& sum of the shell and wear plate thickness, provided the wear plate extends R/10$ inches above the horn of the saddle near the head and extends between the
m saddle and an adjacent stiffener ring.m
$ In Unstiffened shell the maximum shear occurs at the horn of the saddle. When
G the head stiffness is utilized by locating the saddle close to the heads, thez tangential shear stress can cause an additional stress (S3) in the heads. Thiswu
stress shall be added to the stress in the heads d u e on t e r n ar e s s u
~ W h e nt i f f e n e ri n g sr es e d ,h ea x i m u mh e a rc c u rt hq u a
e
I fe a rl a t e ss e d , no r m u l a so r 4o rhe icknessts maybe taken the ?sumof the shelland wearplate thicknessandfor ts maybe”takenthe shellthick-
ness squared plus the wear plate thicknesssquared, providedthe wear plateA extendsR]lOinchesabovethe hornof the saddle, andA<It12. Thecombined~ circumferentialstressat the top edgeof the wearplate shouldalsobe checked.~ Whencheckingat this point: ts = shellthickness,
~ b = widthof saddle&
O = centralangleof the wearplatebut not more
a than the includedangleof the saddleplus 12°L If wear plate is u s e d , no r m u l a so r 5o rh eh i c k n e s sm at a~ s u m fh eh e l ln de a rl a t eh i c k n e s s ,r o v i d e dhi d tt heQ e q u a l s te a s t+ 1 . 5 6 -~ I fh eh e l l so tt i f f e n e d ,h ea x i m u mt r e s sc c u r shot a~ T h i st r e s s so t e od d e d oh en t e r n a lreSSUK4reSS.
Q I ns t i f f e n e dh e l lh ea x i m u mi n g - c o m p r e s s i o n ho t ts hU s et i f f e n e ri n g fh ei r c u m f e r e n t i a le n d i n gt r e sx c e e ha xa l l o w a b l et r e s s .
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90
STRESSESNLARGEHORIZONTALVESSELSSUPPORTEDBYTWOSADDLES
VALUESOFCONSTANTK(Interpolatefor IntermediateValues)
‘K, = 3.14 if the shellis stiffenedby ringor head(A < R/2)
;ONTACTANGLE
0
120122124126128130132134136138
1401421441461481501521 5 4
1 5 61 5 8
1162
164166168170172174176178180
0.3350.3450.3550.3660.3760.3870.3980.4090.4200.432
0.4430.4550.4670.4800.4920.5050.5180.5310.5440.557
00.585
0.5990.6130.6270.6420.6570.6720.6870.7020.718
K2
1.1711.1391.1081.0781.0501.0220.9960.9710.9460.923
0.9000.8790.8580.8370.8180.7990.7810.7630.7460.72900.698
0.6830.6680.6540.6400.6270.6140.6010.5890.577
K3
0.319ForAnyCon-TactAngles
0
0.8800.8460.8130.7810.7510.7220.6940.6670.6410.616
0.5920.5690.5470.5260.5050.4850.4660.4480.4300.413
00.380
0.3650.3500.3360.3220.3090.2960.2830.2710.260
i
K5
0.401,0.3930.3850.3770.3690.3620.3550.3470.3400.334
0.3270.3200.3140.3080.3010.2950.289.0.2830.2780.272
00.261
0.2560.2500.2450.2400.2350.2300.2250.2200.216
K(5
Seecharton
facingpage
K7
0.7600.7530.7460.7390.7320.7260.7200.7140.7080.702
0.6970.6920.6870.6820.6780.6730.669;.;;:
0:6570.6540.650
0.6470.6430.6400.6370.6350.6320.6290.6270.624
0.6030.6180.6340.6510.6690.6890.7050.7220.7400.759
0.7800.7960.8130.8310.8530.8760.8940.9130.9330.95400.994
1.0131.0331.0541.0791.0971.1161.1371.1581.183
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91
STRESSES IN LARGE HORIZONTALVESSELSSUPPORTEDBYTWOSADDLES
VALUESOF CONSTANTK6
0.01
0 : 0 : 5R A T I O
uA
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92
STRESSESIN LARGEHORIZONTALVESSEISSUPPORTEDBY‘IWOSADDLES
EXAMPLECALCULATIONS
DesignDataL s 48in. distancefromtangentline
of head to the centerof saddle
I=4 in.w i d ts a d d
21in. depthof dishof head960in. lengthof vesseltan.-tan.
= 250psi. internaldesignpressure300,000lb. load ononesaddle60in. outsideradiusof shell1.00in. thicknessof shell
= 120deg.contactangle
oSheI.1material: SA515-70plateAllowablestress value17,500psi.
Yieldpoint 38,000 psi.6“ Joint Efficiency: 0.85
LONGITUDINALBENDINGSTRESS (S,)
Stress at the saddles
~, ,A(.1-:jj:)3m,mx4(_l-~::;j~~)=522psi
K1R2t. = x 602x I
Stress at midspan
~:%(+:~j.2-%)3m*qxw(::~%)=4,,,psi
= =
nRzt, 3.14x 602x 1
PR 2 5 0d oS t r e s su e on t e r n a lr e s s u r e := — =7 S 0 0s i
2t~ 2X1
Thes u m fe n s i o n a lt r e s s e s :959+ 75(XI= 12,459psiItd o e so tx c e e dh et r e s sa l u e fh ei r t he a m :7 , 5 0 0. 0 81 4 , 8
C o m p r e s s i o nt r e s s so ta c t o ri n c e/ R >. 0 0 5 ;/ 6 00 . 0 1
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93
STRESSESIN LARGEHORIZONTALVESSELSSUPPORTEDBYTWOSADDLES
EXAMPLECALCULATIONScont.)
TANGENTIALSHEARSTRESS(S,)
SinceA (48)>IV2(60/2), the applicableformula:
‘,=%L*H)= 1“’’;”:?*OOO ( :::3”.4:1 )=’$’mPsi
doesnot exceedthe s t r e s sa l u ef shellmaterialmultipliedby0.8; 17,500x 0.8= 14,000psi.
CIRCUMFERENTIAL STRESS
Stress at the horn of saddle (S4)SinceL (960)> 8R(480), A(48) > R/2 (60/2), the applicable formula:
s4=- Q 3K6Q.—4 t
A/R =48160 = 0.8; K = 0.036 (from chart)
300,000 3 X0.036X 300,000s, ‘–
4 X1 (24 + 1.56 d-) –= –18,279 psi
2t
S4does not exceedthe stress value of shell material multiplied by 1.5; 17,500x 1.5=26,250 psi
Stress at bottom of shell (Ss)
K, QSs =—
r~ 1 . . 5 6
S 5– x 300,000
1(24 + 1.56 <~’)=–6,319 psi
% doesnot exceedthe compressionyieldpointmultipliedby0.5; 38,000x0.5= 19,000psi
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94
STIFFENER RINGFOR LARGE HORIZONTAL VESSELS SUPPORTEDBY
SADDLES
/
N O T A T I O N .
(
2 @
A = C r o se c t i o nr
II II 1II l =K =
8Q =o a na d dbR = R a d i u
=@ =
AS
~
R i n gn s i d e .C o m p r e s s i o n 9~ Qa th eh e l l
S 6 = –I /
1 ~ + 15 -o v e r n s
.
~ n gu t s i d e . 9~ Q
< %
s ~ = –,S t r e s s th e m
S h e l l&
3
R i n gu t s i d e .5
cStress at the K9Q K, ~QR Es
~ Saddle - ,r d o fh eS 6 = –.
l/d “: ~andRing
,
-“
S h e l l wR i n gn s i d e .
G
U w , + - +j ~ ~ ~ s a th e
9K ~ Q$
- 3
S 6–I /
d =
‘ 3 $ ~ : : es 6 = - K # - K ’ j ~ R
<“
and Ring+
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95
STIFFENER RINGFOR LARGE HORIZONTAL VESSELS SUPPORTED BY
SADDLES
VALUES OF CONSTANT,K(Interpolate for Intermediate Values)
ContactAngle e 1200 1300 1400 1500 1600 1700 1800
K9 .34 .33 .32 .30 .29 .27 .25
K1o .053 .045 .037 .032 .026 .022 .017
NOTES:1. In figures & fmrnulas A-F positive signs denote tensile stresses and negative
signsdenote compression.2. The first part of the formulas for S6 gives the direct stress and the second part
givesthe circumferential bending stress.3. If the governing combined stress is tensional,. the stress due to internal
PRpressure, —$
shall be added.
CALCULATIONOF MOMENTOF INERTIA (1)1. Determine the width of shell that is effective to resist the circumferential
bending moment. The effective width = 1.56 ~~ ; 0.78 ~~on both sides of the stiffener ring.
2. Divide the stiffener ring into rectangles and adculate the areas (a) of eachrectangles, including the area of shell section within the effective width. Addthe areas (a) total area = A,
3. Multiply the areas (a) with the distances (Y) from the shell to the center ofgravity of the rectangles. Summarize the results and denote it AY.
4. Determine the neutral axis of the stiffener ring,the distance (C) from the shellto the neutral axis c =Amy
5. Determine the distances (h) from the neutral axis to the center of gravity ofeach rectangle of the stiffener.
6. Multiply the square of distances (h2) by the areas (a) and summarize theresults to obtain AI-IZ
b d37. Calculate the moment of inertia Ig of each rectan~es Ig =~,where b =
the width and d = the depth of the rectangles.
8. The sum of AH2 and Z I gives the moment of inertia of the stiffener ring&nd the effective area of the en.
See example calculations on the following pages.
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96
M O M E N T FNERTIA(I) OF STIFFENER~NGS
EXAMPLECALCULATIONSA L LI M E N S I O N S NN C H E S
R = 7 2U T S I D EA D I U S FH E L
11
b, = 9.86d
+ ;
MARK I ‘AREA I I I
1=0.78~x =
~ X =
Xi
1 -
A R E A
b2d: = 0.5 x 63 = ~.oo in. 4
11
I b
a Yh
i R E A S1
0 4 . 9 3. 2 5. 2 3. 2 3. 5 ..
@
A = – = - =
~A — = I = 2 + = + = iA
q ““”251-F%-’2’””25
I I
MARK I AREA I
1=1.56 ~~ =x =
h,d; X=
77-
=
12 1
b
Y ha a X h2
o
@
A = – ‘ – =
~ – A Y‘ O ” l s- — –=A
1= 2 + = + = 4
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MOMENTOF INERTIA (I) OF STIFFENER RINGS
EXAMPLECALCULATIONSALLD1MENS1ONSNINCHES
R=72 in.OUTSIDERADIUSOFSHELL
CJ1= 0.78 ~~
$ , m 0.78 J72 X0.5=4.68
I I * A R E A
b,d:~ o
12 “ “
* = x = g ~
12 “ ‘
4 x 0 .—12 = 12 = 0
ba Y h
2 —
1
2
3
A = - = - = =1
~ AY 25.23‘—= — = 2S4
A I = AH 2 + Ig = 6 4 . 0 39 .7 3 . 1n9 . 9 3
~ = ~ =2 ” 9 3I = A H+ I g4A
— = 2 . 7 2 0 . 7 39 . 0 35 9 . 7n8 . 4 3
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.“
D S
M A
A R
1 .h ea d d l e th eo w e s te c t i o nu s te s i s th eo r i z o n t a lo r c~ f f
c r o s se c t i o n fh ea d d l e oe s i s th i so a d sn eh i rt he sa R).F=K1lQ,Where Q=the loadonone saddle, lbs.
K,, = constantas tabulated.
Theaveragestressshallnotexceedtwothirdsof thecompressionyieldpoint ofthematerial.(Seeexamplebelow.)
VALUESOF CONSTANTK,l
IntactA n g l e20° 130° 140° 150° 160° 170° 180°
Kll .204 .222 .241 .259 .279 .298 .318
EXAMPLE:Diameter of vessel= 8’- 6“Weight of vessel= 375,000 lbs.Q= 187,500 Ibs.Saddle material: SA 285 CWeb plate thickness = 0.25 in.Contact angle = 120°
Kl, = 0 f t aR = 5 = 1 iF F = K,, x Q =.204 x 187,500= 38,250 lb.
To resist this force the effective area of web plate= lU3 x 0.25= 4.25 in.238,250/4.25 = 9,000 lbs. per square inch.
The allowable stress = ?4 x 30,000= 20,000 psi.
The thickness of the web plate is satisfactory for horizontal force (F).
2. The base plate and wear plate should be thick enough to resist longitudi-nal bending over the web.
3. The web plate should be stiffened with ribs against the buckling.
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99
E X P A N S I O NN DO N T R A C T I O N
O FO R I Z O N T A LE S S E L S
A B
4
9
~ ~ BOLTS ~
2 2
– ~ B O L T S Q S A D D LRI
* “ +
EXPANDINGVESSEL CONTRACTINGVESSEL
For thermal expansion and contraction, one of the saddles, preferably the oneon the opposite side of the pipe connections, must be allowed to move. In thissaddle for the anchor bolts slots are to be used instead of holes. The length ofthe slots shall be determined by the expected magnitude of the movement. Thecoefficient of linear expansion for carbon steel per unit length and per degreeF = 0.0000067. The table below shows the minimum length of the slot. Dimen-
sion “a” calculated for the linear expansion of carbon steel material between 700Fand the indicated temperature. Whenthe change in the distance between the saddlesis more than 3/8” inch long, a slide (bearing) plate should be used. When thevessel is supported by concrete saddles, an elastic, waterproof sheet at least 1/4”thick is to be applied between the shell and the saddle.
MINIMUMLENGTH OF SLOT (DIM. “a”)
H
a DISTANCEBETWEEN
FOR TEMPERATURE oF
@
SAD-DLEsFt. -50 100 200 300 400 500 600 700 800 900
10 0 0 0 1/4 3/8 3/8 1/2 5/8 3/4 3/4
20 0 0 1/4 3/8 5/8 3/4 1 1-1/8 1-1/4 1-3/8z
: ~ 30 1/4 1/8 3/8 5/8 7/8 1-1/8 1-3/8 1-5/8 1-5/8 2‘u ~$ ~ 40 1/4 1/8 3/8 3/4 1-1/8 1-1/2 1-7/8 2-1/8 2-3/8 2-1/2
50 3/8 1/4 1/2 1 1-3/8 1-5/8 2-1/4 2-5/8 3 3-3/8&
60le width of
3/8 1/4 5/8 1-1/4 1-5/812-1/8 2-3/4 3-1/8 3-5/8 4-1/8
70h el o tq u a l s
/ 2/ 4/ 4- 3 / 8- 7 / 8- 1 / 2- 1 /- 5 1
h ei a m . f0/ 2/ 8/ 4- 1 / 2- 1 / 8- 7 /- 5 /- 1-
90 5[8 318 7/8 1-3/4 2-3/8 3-1/4 4 4-5/8 5-3/8 6n c h o ro l tl y 4 * 3 0 0[ 81 81 - 7 / 8- 5 / 8- 5 /- 1 /- 16
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SFOR SUPPORT OF HORIZONTAL VESSELS
r - j’” i ‘“;B
k ~ ‘- ;~ : - & - : ‘:
H O L EH
G T\ I
Ii MH H I
& B SQ U A L L YP A C E DC
L -
E E
The design based on:
1. the vessel supported by two saddles
2. toresisthorizontal force (“)duetothemaximumo peratingweightofvesselas tabulated.
3. the maximum allowable stress is % of the compression yield point: % o30,000 = 20,000 psi.
4. the maximum allowable load on concrete foundation 500 psi.
5. the minimum contact angle of shell and saddle 120°.
Weld: %“continuous fillet weld all contacting plate edges.
Drill and tap %“weep holes in wear plate.
At the sliding saddle the nuts of the anchor bolts shall be hand-tight and secureby tack welding.
SEE FACING PAGE FOR DIMENS1OIW
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101
SADDLE
{OMN.U MAXIMUMlwAMEITR)F\EY$EL
OF
c D EF G H K
0 4 4 o-3~z /Z o % ‘% 42,000
1-2 l-x 1-1 4 4 0-4 Y? o ‘h % - 50,000
1-4 1-2 1-2 4 4 0-5 Yl o % % - 56,000
1-6 1-3 L 1-3 4 4 0-6 % o N % - 62,000
1-8 1-5 4 1-4 4 4 O-6YZ V2 o % % - 70,000
1-1o 1-7 1-5 4 6 0-7 % o % % - 76,0002-o 1-9 I-6 4 6 0-7% K o % % - 84,000
2-2 1-1OY2 1-7 4 6 0-8 4 o % ‘/4 ‘A 90,000
2-4 2-2Y2 1-8 4 6 0-8% ‘/2 o ‘/2 % ‘% 98,000
2-6 2“2 1-9 4 6 0-9 % o % % % 104,000
2-8 2-4 1-1o 4 6 0-9 4 % o 4 % % 112,000
2-1o 2-5 1-11 6 11 0-1o l/2 o Y2 ‘A ‘/4 128,000
3-o 2-6% 2-o 6 11 0-11 4 o % % ‘h 134,000
3-2 2-9 2-1 6 11 1-0 3/4 o 5 ‘/4 ‘A 144,000
3-42-11 2-2 6 11 1-1 3A o 4 210,000
3-6 3- 4 2-3 6 11 1-2 % o % 220,000
4-o 3-6 2-6 6 11 1-4 % o % 252,000
4-6 3-11 3-o 6 11 1-6 ‘h o % 3/8 3/8 282,000
5-o 4 - 4- 31 1- 81 3/4 3/8 3/8 312,000
5-6 4-9 4 3-6 6 11 1-1o % 1 % 344,000
6-O 5-25 3-9 9 18 2 1 ‘ / 02,000
6-6 5-8 4-o 9 18 2-2 3/4 1 3/4 ‘/2 3/8 436,000
7-o 6-1 4-3 9 18 2-4 1 1 3/4 Y 3/8 470,000
7-6 6-6 4-6 9 18 2-6 1 1 1 Y’ 502,000
8-O 6-1IY2 4-9 9 18 2-8 1 1 1 Y2 3/8 536,000
8-6 7-4% 5-o 9 18 2-10 1 2 1 % ‘/2 760,000
9-o 7-9% 5-3 9 18 3-O 1 2 1 ‘ /2 L? 806,000
9-6 8-3% 5-6 9 24 3-2 1 2 1 ‘h ‘ /2 852,000
1o-o 8-8 5-9 9 24 3-4 1% 2 1 3/4 ‘ /2 896,000
10-6 9-1% 6-O 9 24 3-6 1% 2 1 3/4 Y2 940,000
11-0 9-6 A 6-3 9 24 3-8 IK 21 % Y2 986,000
11-6 1o-o 6-6 9 24 3-lo 1% 31 ‘A % 1,030,000
12-O 10-5 6-9 9 24 4-o 1% 31 ?4 % 1,076,000
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102
S V
LEG SUPPORT
NOTATION:w,W = Weight of vessel, lbs.n = number of legs
Q = ~ Load on one leg, Ibs.
R = Radiusof head, inchH = Leverarmof load, inch.2A, 2B = Dimensionsof wear plateS = Stress, poundper sq. inch
t = wall thicknessof head, inch
o
K = Factors,see chartsQ C = inch
*
@lI’ El
C = radius of circularwear plate, in
f=1,82S E
nRt
LONGITUDINALSTRESS:
Q[
C O S(Kl + 6 K2) + ; f
R~ (K3 + 6 K.)1
CIRCUMFERENTIAL STRESS:
Q[
cos a ( K 56 KG)+ Hf f (K7 + 6 K8) ]R
NOTES:
Positive values denote tensile stresses and negative values denote compression.Computing the maximum tensile stresses, in formulas for S1 and S2, K,, K3, K5 andK, denote negative factors and K2, Kq, KGand K8 denote positive factors.
Computing the maximum compression stresses, in formulas for SI and S2, K,, K2,K3, K4, K5, KG,K, and K8 denote negative factors.
The maximum tensile stresses S1 and S2, respectively,PIUShe tensilestressdue tointernal pressure shall not exceed the allowable tensile stress value of head material.
The maximum compression stresses S1 and S2, respectively,plus the tensiledue to internalpressure shall not exceedthe allowablecompressionstressvalueofhead material.
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103
STRESSES IN VESSELS ON LEG SUPPORT
0.2OAO.6.81.01.2 1.5 2.0 3
D
& K5
4
020.40608101.2 1.5 2.0 4.0
D
VALUE OF Kz 8LKG
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STRESSES IN VESSELS ON LEG SUPPORT
0.20
~
k
O
0
0
.0.2040.60.81.01.2 1 2 3.0
D
4.0
VALUE OF K3 8ZK,
0.60
0.50
k ?-0.40
Q?0.30
0.20
0.10
020.4060.81.012 1.5 2.0 3.0 4.0
D
VALUE OF Kz 8ZKg
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105
STRESSES IN VESSELS ON LEG SUPPORT
EXAMPLE CALCULATIONS
DESIGN DATA
800,000 lb, weightof vesseln = 4, numberof legs
w 800,000Q d = 200,000 lb, load on one leg
R = 100 inch, rr,diusof headH= 5 inch, leverarmof load2A = 30 inch, 2B = 30 inch, dimensionsof wearplate
? = 1.8 inch thicknessof headCos~ = 0.800P = 100
SA— 515–70
Allowable stress value: 17,500 psi
Joint Efficiency: 0.85
Yield point: 38,000 psi.Factors K (see charts):
c= ~ = == 15 inch
K1 = 0.065, Kz = 0.030, K3 = 0.065, Kq = 0.025,
K5 = 0.020, K6 0.010, K, = 0.022, Kg = 0.010.
LONGITUDINALSTRESS:1.) Maximumtensile stress:
200,000
[
5r
100S1 = 0.800 (–0.065 + 6 x 0.030) + — —
1 . 8 2 100 1.8
(-0.065 + 6 X 0.025)1
= + 7,634 psi
The stress due to internal pressure:
PR 100 x 100—— = + 2778 psi2t – 2 X 1.8
The sum of tensional stresses:
7.634 + 2.778 = 10,412 psi
It does not exceed the stress value of the girth seam:17,500 x 0.85 = 14,875 psi
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106
STRESSES IN VESSELS ON LEG SUPPORT
2.) Maximum compressional stress:
Q
[ cos ~ ( – K, – 6KZ) + g V
R
S1 = ~ T( – K3– 6KQ)R 1200,000
[
5
r
100S1 = 0.800 ( –0.065 – 6 X 0.030) + —
1.82 100 G
1–0.065 – 6 X 0.025) = – 17,0:44psi
The stressdue to internalpressure:
PR 100 x 100——2t –
= + 2778 psi2 x 1.8
The sum of stresses:– 17,044 + 2,778 = – 14,266 psi
It does not exceed the stress value of the girth seam:
17,500 x 0,85 = 14,875 psi
C i r c u m f e r e n t i a lt r e s s :
1.) Maximum tensile stress:
Q= ~[
cos ~ ( –K5 + 6K6) + ; VR~ (–K7 + 15K8) 1
200,000S2 =
[
5
v
1000.800 ( –0.020 + 6 X 0.010) + —
1.82 100 =
(–0.022 + 6 X 0.010) 1=+2,849 ps
The stress due to internal pressure:
PR 100 x 100—=2t
= + 2778 psi2 X 1.8
The sum of tensile stresses:2,849 + 2,778 = 5,627 psi
It does not exceed the stress value of the girth seam:
17,500 x 0,85 = 14,875 psi
2.) Maximum compressional stress:
Q= ~[
cos m ( – K5 – 6 K6) + ~r
R7( –K7 – 6K8)
R 1
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STRESSESIN VESSELSONLEGSUPPORT
200,000
[
5
v
100S2 = 0.800 ( –0.020 – 6 X 0.010) + — —
1.8Z 100 1.8
1–0.022 -6 x 0.010) = -5,837 psi
The due to internal pressure:
PR 100 x 100—— = + 2778 psi2t – 2 X 1.8
The sum of stresses:
– 5837 + 2778 = – 3,059 psi.It does not exceed the stress value
17,500 x 0.85 = 14,875 psi
of the girth seam:
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. -
LEG SUPPORT
Notch out anglesto clear seam \
III
I \
I II
II
II f; & ~“1
‘ A
‘
+8 *
“SECTIONA-A
V E S S E LE S S E LD I AE I G H TA X
2’-6”
10’-0”
ANG.LESIZE
3 “3 “3 f 8 °
~ . 5 °3 . 5 ”3 / 8 ”
x x 1 / 2 ”
x 5 “1 / 2 ”
6 “6 “5 1 8 ”
m a I
4
5 ’ - 0
6
7
17 ’ - 0
1‘ -
. —
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109— .. . .
STRESSES IN VESSELS DUE TO
L S
U N S T I F F E N E D S T I F F E N E D
S H E L LS H E L
N O2A, 2B = Dimensions of wear plate
W = Weight of vessel, lb S = Stress, pound per sq. in
n = Number of lugs t = Wall thickness of shell, in
~=:. Load on one lug, lbshape factor, see table
K= Factors, see charts
R = Radius of shell, in
r
~.d 3 BH = Lever arm of load. in
—R A
LONGITUDINALSTRESS:
,,. ~ E(
K2R DCIK1 + 6 — +
D R2t c2t 2 (1.17 + B/A) ‘~A )
N ~ E : ne n s i o n 1l u sh et r e s su e on t e r n a lr e s s u r eR / 2h ax
t h et r e s sa l u e fh e l la t e r i a li m e sh ef f i c i e n c yi re a
C I R C U M F E R E N T I A LT R E S S :
QH
(
Kd RC3K3+ 6 —
‘2 = * DR2f c4t )
NOTE: In tension S2 plus the stress due to internal pressure PR/t shall not exceed
the stress value of shell material multiplied by 1.5.
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110
STRESSES IN VESSELS DUE TO LUG SUPPORT
8
6
4
2
00 0 0.10 0
VALUE OF K]
0 0
n
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11
STRESSES IN VESSELS DUE TO LUG SUPPORT
0
0
0
0
0
0
00 0 0 0 0 0
(
VALUE OF Kz
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112
STRESSES IN VESSELS DUE TO LUG SUPPORT
10
5
00 0 0 0 0 0
D
VALUE OF Kj
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STRESSES IN VESSELS DUE TO LUG SUPPORT
0
0
0
0
0
0 0.05 0.10 0.15 0 0
VALUE OF K4 ( C
BIA R/t c, C2 C3 C’4
50 0.72 1.03 0.95 1.07
100 0.68 1.02 0.97 1.06
1/2200 0.64 1.02 1.04 1.05
300 0.60 1.02 1.10 1.04
50 1 1 1 1
100 1 1 1 1
1 200 1 1 1 1
300 1 1 1 1
50 0.85 1.10 0.85 0.92
100 1.15 1.07 0.81 0.89
2200 1.32 0.98 0.80 0.84
300 1,50 0.90 0.79 0.79
VALUE OF C
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114
STRESSES IN VESSELS DUE TO LUG SUPPORT—.
EXAMPLE CALCULATIONS
D E S I G NA T A
W = 1,200,000lb. weightof vesseln = 4 number of lugs
Q = : = 1,200,0004
= 300,000 lb. loadon one lug
R = 90 in, radius of shellH = 5 in, leverarrn of load
2A = 30 in, 2Z?= 30 in, dimensions of wear plate
t = 1.5 in, thickness of shell
p = 100 psi internal pressure
Shellmaterial:SA -515-70Allowablestressvalue 17,500psiYieldpoint 38,000 psiJointEfficiency:0.85
ShapefactorsC, (see table):
RI, = $ = 60, B/A = 15/15) = 1,0
c1 = C2 = CJ = C4 = 1.0
The factors K, (see charts)
w= “ ’ = % = 6 0
K1 = 2.8, K2 = 0.025, K3 = 6.8 Kd = 0.021
L o n g i t u d i n a lt r e s s :
, ,& U . _(D
C,K1 + 6 ~ +“ R 2 ~2 (1.17 + B/A) ‘x ~A )
~ = 300,000 x 51
(
, X228+ ~ 0.025 x 90 +
0.167 x 902 x 1.5 1 x 1.5
+ 0.167 x
902
)– 11,795 psi
2 (1.17 + 15/15) 5 x 15 –
Stress due to internalpressure:PR = 100 x 90 The sum of tensional stresses:
z= 3000 psi
2 x 1.511,795 + 3000 = 14,795psi
It does not exceed the stress value of the girth seam:17,500 x 0.85 = 14,875 psi
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115
STRESSES IN VESSELS DUE TO LUG SUPPORT
C i r c u m f e r e n t i a lt r e s s :
s~ = &QH
(
KJ?C3K3+ 6
DR2t c~i )300,000 x 5
s~ =(
0.021 x 901 X 6.8+6
0.167 X 902X 1.5 1 x 1.5 )= 10,616psi
Stressdue to internalpressure:PR 100 x 90 -= = 6000”psi
The sum of tensional stresses:10,616 + 6000 = 16,616psi1.5
It does not17,500 x
exceedthe stressvalueof shellmaterialmultipliedby 1.5:
1.5 = 26,250
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116
L SFOR INSULATEDVESSELS
u’
r I 1 [-
LJ
Lb,d
h--l,&
T
ug
thl h
6(Y
t3 _ _ _
T} V
4 a x i m u ml l o w a b l eI M E N S I O N S W e
L o a d nne ~ ~ ~ ~ ~ ~ ~ ~ “ O
L u g ,b s .1 1 F w
1,400 6 /2 5 5% 3Y4 4 ~8 5% % ‘/4 72,200 674 5VZ 6 5 5% 5/8 5% ‘/4 ‘/4 9
3,600 8~4 63/4 7y4 6Y4 7 Y4 6?4 ‘/4 ‘/4 16
5,600 10Y4 83A 9Y4 9% 9y8 1 8Y2 ‘/4 1/4 24
9,000 12y* 14Y414% 1 10Y2 ~8 3/8 58
14,000 13y4 llfi 12V4 17 17Y8 1 1l A % 3/8 72
22,000 15y2 13 1374 lg% 1878
90,000 22Y4 18 /2 19k 31 lti 18 388
140,000 25% 2072 21Y23478 3578 2 20 482
All dimensionsare in inchesStressesin vessel shall be checked.Use wearplate if necessary
I
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117
L SFOR UNINSULATEDVESSELS
J -l
T
t
hl h
j l 40°
‘L–
T—
w ~
~ i m u ml l o w a b lI M E N S I O N S W e
L o a d nn e~ ~ ~ ~ ~ ~ ~ O
L u g ,b s .I I F w
1,400 2 4 2 2% 44?46 YJ4 1% %6 full 1
2,200 3 4 2Y2 3 5% 5?46 2 full 2
3,600 4 3y4 3?4 6~4 (jl~b 2Y?2%6 full 4
5,600 53/4 5y4 6y4 974 10 1 4 1/4 ‘/4 9
9,000 7Y4 7 774 14~ 14%6 1 5% %6 ‘/4 21
14,000 9y~ 8~z 9y4 17 17%6 1 6ti %6 ‘/4 28
22,000 10 9y’ 10M 18 18y8 lti 7 3/8 ‘/4 45
36,000 12 11 4 2Y2 22 22Y2 1% 9 ‘/2 3/8 80
56,000 15 15 6V4 28H 29 46 1Y2 12 y16 3/8 148
90,000 161/2 1574 7 31y? 32yg 174 13 5/8 3/8 218
140,000 18 17% 8Y4 34Y2 3578 2 14 5/8 3/8 260
A l li m e n s i o n sr e nn c h e s
S t r e s s e s ne s s e lh a l l eh e c k e d ,
U s ee a rl a t e fe c e s s a r y
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L
:
L
a
I
. — —
I & J
VESSEL D R H L WELD
WEIGHT (IN) (1:) (IN) (IN) (IN) (Min)
(LBS)
12,000 1 ~/~ 1v? 5 10 co-- _
20,000 1% 3/4 2 6&J~
10 ~.=gL
30,000 1% 1 2Y8 6 10 &s
50,000 1% 1% 2YI 7 12 2570,000 2% 1 3Y2 8 12
100,000 2Y? 172 4Y2 9 16 .5 ~%-
150,000 3 11/4 5 10 16 b=EL
200,000 4 2 6 12 18 as=5
250,000 4% 2 6Yz 13 18 ~ “~
300,000 4fi 21/ 7 14 20
Notes:1. All dimensionsare in inches2. The design is basedon conditions:
a. x = 45° “maximumb. Minimumtensile strengthof lug material 70,000 psi.c. Direction of force is in the plane of lugs.
3, U s eear plate if necessary to eliminate buckling due to normal or sudden
loading.
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LIFTINGATTACHMENTS
f-h
MINIMUMDIMENSIONSOF LIFTINGLUGSUSINGSHACKLE
Sh~~kle HoIe Sheared Rdl;d~~;d Diam.
Di~m.Edge Armofm Lug
D1cut
H AMo~ent
B
710 5/161060 3/8 I /,-” , .4U I .[> I1600
I I u-l
7/16 ., - 1 .U4-% I .OL. J- 1 - ,- 1 1/0 I I17 I
1
Al1 1 ./ /
I cl? 1 -1” 1 . . ,
1.44. --
/ uI l / L5 / 869 .90282(-)I
1-1/8SIR
71821A I .94 1.22 1-1/4
I1
7/8 1.131.75
1.47 1-1/2 1-118 :
- - - -I:
I
63’75 7/$?2.12
11 1 la I 1 cc
‘ ‘“’A ‘m
11300 1-1/8 1-1/4 ] ..<” I 1.72
13400 1-1/44-1\+
1-2IQ1-3175 Z.Y4 -
1 L 2I a - /. , I .
16500 1-3[8‘ 3.06
20000 1-1/2
LB 13.62
23750 1-518 4.061-d/+32350 2
>-l/ 1 -42 - 1 / 8. 2 5. 9 3- 3 /
4 2 5 0 0- 1 / 42 - 5
2 - 3 / 8. 5 6. 3 3- 1 /5 4 0 0 0- 1 / 2
3 52 - 5 / 8. 8 1. 6 6
6 7 6 0 03 / 44 - 9 / 1- 1
2 - 7 1 8. 9 4. 8 28 1 0 0 0
2 .A 7 .
. “ - - . f l8
A u 1.U2 L L - II1-1/2 1.75 2.28 2-5/8 1--‘-
1-5/8 1.88 2.45 2-7/8 2 II1 91A A . ,- - —.
. - —3 3-1;8
/ 15-7/;6 ;:; ‘:” ‘ :
Y jI
A l li m e n s i o n s nn c h e s .
I
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120
r
LIFTINGATTACHMENTScont.)
RECOMMENDEDMATERIAL: A 515-70, A 302 or equivalent. The thicknessand length of the lifting lug shall be determined by calculation.’
WELD: When fillet welds are used, it is recommended that throat areas be atleast 50 per cent greater than the cross sectional area of the lug.
To designthe lugs the entire load should be assumed to act on one lug.
All possibledirectionsof loadingshould be considered(duringshipment,storage,erection, handling.) Whentwo or more lugs are used for multilegsling,the amgle betweeneach leg of the slingand the horizontal shouldbe assumedto be 30degrees.
EYE- BOLT
Threaded fasteners smaller
than 5/8” diameter shouldnot be used for liftingbecause of the danger ofovertorquingduringassembly.
Commercial eyebolts aresupplied witha rated break-ing strength in the Xdirection.
For loadingsother than alongthe axis of the eyebolt, the
following ratings are recommended. Theseareexpressedas percentage of the ratingin the axialdirection.
100 0 Y = 33%z= 20% w = 10%
EXAMPLE:
Aneyeboit of 1 in. diameterwhichis good for 4960 lb. loadin tension(directionx) cancarryonly4960x 0.33= 1637lb. load if it actsin directiony.
Theabovedimensionsandrecommendationsare takenfromC. V.Moore:Designing
LiftingAttachments,MachineDesign, March 18, 1965.
Assuming shear load only thru the minimum section, the required thickneasmay be calculated by the formula:
R
6
I P where t = required thickness of lug, in
t = 2S (R-DIP) P = load, Ibs.S = allowable shear stress, psi.
seepage fordesignofweldandlengthofW.
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121
SAFELOADSFORROPESANDCHAINS
The stress in ropes and chains under load is increasing with the reduction of theangle between the sling and the horizontal. Thus the maximum allowable safe
load shall be reduced proportionally to the increased stress.
If the ailowable load for a single vertical rope is divided by the cosecant of theangle between one side of the rope and the horizontal, the result will indicatethe allowable load on one side of the inclined sling.
Example:
The allowable load for a rope in vertical position is 8000 lb. If the rope appliedto an angle of 30 degrees, in this position the allowable load on one side will be8000/cosecant 30 deg. = 8000/2 = 40001b. Forthetwo-rope sling the totalallowable load 2 times 4000 = 8000 lb. The table shows the load-bearing capacity
of ropes and chains in different positions. Multiplying with the factors shovm inthe table the allowable load for a certain rope or chain, the product will indicatethe allowable load in inclined position.
FACTORSTOCALCULATESAFELOADSFOR ROPESANDCHAINS
L . AA &Angleof
Inclination9(30 600 450 300 1(-JO
On OneEnd
1.00 0.85 0.70 0.50 0.17
On Two – 1.70 1.40 1.00Ends
0.34
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122
O P
externalpiping is connectedto thevessel,the scopeof theCode includes:
(a)
(b)
(c)
(d)
theweldingend comection for the first circumferentialoint forwelded
connections
the first threadedjoint for screwedconnections
the face of the first flangefor bolted,flangedconnections
the first sealingsurfacefor proprietaryconnectionsor fittingsCodeU-l(e)(1)
SHAPEOFOPENINGS:
Openingsinpressurevesselsshallpreferablybe circular,ellipticalor obround.An
obroundopeningisonewhichis formedbytwoparallelsidesandsemicircularends.Theopeningmadebyapipeoracircularnozzle,theaxisofwhichisnotperpendiculatothevesselwallorhead,maybeconsideredanellipticalopeningfordesignpurposes.
Openingsmaybe of shapesotherthan the above.(SeeCodeUG-36.)
SIZEOFOPENINGS:
Properlyreinforcedopeningsarenot limitedas to size,but,whentheopeningin theheadof a cylindershell is largerthan one half the insidediameterof the head, it isrecommendedto use in placeof heads,shellreducersectionsas shownin theCodeFigureUG-36,
NOZZLENECKTHICKNESS(CodeUG-45)
For vesselsunder internalpressurethe wall thicknessof openingnecksshallnot belessthan:
(1)
(2)
the thicknesscomputedfor the applicableloadingsin UG-22on the neck
(pressure,reactionof piping,etc.), plus corrosionallowance.
forotherthan accessandinspection openingsshallnotbe lessthanrequiredfor the applicableloadingsandnot less than the smallestof the following
(a)
(b)
the thickness of the shell or head (to which the opening is attached),
required for internal pressure (assuming E = 1), p lo r r oa n c e ,u to re l d e de s s e l n oa s ee sh a/
t h ei n i m u mh i c k n e s s ft a n d a r da l li pl uo r r ol l
Theminimumthicknessof a pipe (ANSI/AB36.1OM)is the nominathicknessless 12.5percentallowabletolerance(seepage 140).
1
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123
I O
All pressure vessels for use with compressed air and those subject to internal
corrosion, erosion or mechanical abrasion, shall be provided with suitablemanhole, handhole, or other inspection openings for examination and cleaning.
The required inspection openings shown in the table below are selected from the
alternatives allowed by the Code, UG46, as they are considered to be the mosteconomical.
INSPECTIONOPENINGSARENOTREQUIRED:INSIDE 1NSPECTION
DIAMETER OPENING 1. for vessels12 in. or lessinside diameterOFVESSEL REQUIRED if there are at least two minimum %
in. pipe size removable connections.2. for vessels over 12 in. but less than
16 in. inside diameter, that are to beover 12 in. two - 1%in. installed so that they must be discon-
less than 18 in. pipe size threaded nected from an assembly to permit
I.D. opening inspection, if there are at least tworemovable connections not less than1%in. pipe size. UG46(e).
3. for vessels over 12 in. inside diameter
min. 15 in. I.D. under air pressure which also contain
18 in. manhole other substances which will prevent
to 36 in. or corrosion, providing the vessel non-
inclusive two -2 in. tains suitable openings through which
I.D.
pipe size threaded inspection can be made conveniently,
opening and providing such openings are equiv-alent in size and number to the require-ment of the table. UG-46(C).
min. 15 in. I.D. 4. for vessels(not over 36 in. I.D.)which
over manhole are provided with teltale holes (one
36 in. or hole min. per 10 sq. ft.) complying
I.D. two -6 in. withthe provisionsof theCodeUG-25,
pipesizenozzle which are subject only to corrosionand are not in compressedair service.UG-46(b).
The preferablelocation of smallinspectionopeningsis in eachheador near each
head.In place of two smalleropeningsa singleopeningmay be used, provided it is ofsuch size and location as to afford at least an equal view of the interior.Compressed air as used here is not intended to include ~ which has had moistureremoved to the degree that it has an atmospheric dew point of -50 F or less. Themanufacturer’s Data Report shall include a statement “for non-corrosive service”and Code paragraphnumber when inspectionopeningsare not provided.
NOZZLENECKTHICKNESSThe wall thickness of a nozzle neck or other connection used as access orinspection openingonly shall not be less than the thicknesscomputed for theapplicableloadingsplus corrosionallowance.
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1 2 4- .
O W R PBelow the most commonly used types of welded attachments are shown. For othertypessee Code,Fig.UW-16.I.
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125
O W RB e l o whe
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THREADED AND WELDED FITTINGS
T H EI G U R E SE L O WH O WH EO S TO M M O N L YS EY PW EC O N N E C T I O N S .E EO D EI G .W - 1 6 . 1OH EY P
N O T A T I O N
a = ~ , . r) . 3 7 5 ,h i c h e v e r sh em a l l e s t ,n
+ = 1 - 1 / 4i m e sh em a l l e s t f , . ri n .
o rthe smallestof t, t. or0.375in.b= nominimumsizerequirementc = the smallest o fo r1 2n .
d = t h eh i c k n e s s fc h6 0i p ea l l ,n .
e = the smallestof to 3/4in.
t= t h i c k n e s s fe s s e la l l ,e s so r r o s i o nl l o w a n c en
t .n o m i n a lh i c k n e s s fi t t i n ga l le s so r r o s i o nl l o w a n
T h ee l di z e se f i n e de r er eh ei n i m u me q u i r e m e n t s
S E E~ E S NA C I N GA G E
. .
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THREADED AND WELDED FITTINGS
T H EI G U R E SE L O WH O WH EO S TO M M O N L YS E DY P EW E LC O N N E C T I O N S .E EO D EI G .W - 1 6 .F O RT H EY P E
SEENOTATIONONFACINGPAGE:
GJ a
I I318in.
7: %+
min.
t t
d
s i z ei nD m a xo u t s i d ei a m e t e r fi p e3 / 4n .
— . . -
FITTINGS NOT EXCEEDING 3 IN. PIPE SIZE.Insomecasestheweldsareexemptfromsizerequirements,or fittingsandboltingpadsmaybeattachedtothevesselsbyfilletwelddepositedfiomtheoutsideonlywithcertainlimitations(CodeUW-16(f) (2) and(3)) such as:
1. Themaximumvesselthickness:3/8 in.
2. Themaximumsizeoftheopeningis limitedtothe outsidediameteroftheattachedpipeplus3An.
3. Theweldthroatshall bethegreateroftheminimumnozzleneckthicknessrequiredbytheCodeUG-45(a)or that necessaryto satisfytherequirementsofUW 18forthe applicableloadingsof UG22.
4. Theweldingmayeffectthethreadsofcouplings.It isadvisabletokeep thethreadsaboveweldingwitha minimumY’in.or cut the threads afterwelding.
5. Strengthcalculationof attachmentsisnot requiredforattachmentsshowninFigs.A,C andE, and for openings:
3 in. pipesizefittingsattachedto vesselwallsof 3/8 in. or less in thickness,2 in.pipe size fittingsattachedto vesselwalls over 3/8 in. in thickness.(CodeUG-36(c)(3)).
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1281
SUGGESTEDMINIMUMEXTENSION OF OPENINGS
The tables give the approximate minimum outside projection of openings. When
insulation or thick reinforcing pad are used it may be necessary to increase thesedimensions.
OUTSIDEPROJECTION,NCHESUSINGWELDINGNECKFLANGE
PRESSURERATINGOFFLANGELBOM.PIPESIZE
2500300 600
6 66 88 88 88 10
8 108 1010 1010 1010 1210 1210 12
900 I 1500150
888
101012121414141414
888
101214161616181820
8101214162022
66688
8888
101010
23468
10121416182024
OUTSIDEPROJECTION,NCHESUSINGSLIPONFLANGE
PRESSURERATINGOFFLANGELBOM.PIPE
SIZE
23468
10121416
182024
1500 250000 900150 300
88
1012121212
810101212141
6888
101010101
121212
888
101012121212121212
6668888
101
101010
668888
1010
1
101012
INSIDE EXTENSIONa
& a c - d -S e tl u s ho tu ti n i m u mx t e n s i o nx t e n se i n
P i p eu t oh e oh eu r v a t u r eo re l d i n go t hu r p
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129
R ED F I P
Single,welded openingsnot subject to rapid fluctuationin pressure do not requirereinforcingif they are not largerthan:
3 inchpipe size - invesselwall3/8 in. or less.2 inchpipe size invesselwall over3/8 in. (CodeUG-36 (c) (3).
Largervesselopeningshantheaboveshallbereinforced.Therulesfor reinforcementof openingsare takenfromthe Code,UG-26throughUG-44,andareintendedoapplyprimarilyoopeningsnotexceedinghefollowing:
>Forvessels60in.indiameterandless:%thevesseldiameter,butnotto exceed20in.
Forvesselsover60in.indiameter:%thevesseldiameter,butnottoexceed40 in. Largeropeningshouldbegivenspecialattentionas
Fig.Adescribedn CodeAppendix1-7.
Hereisgivenabriefoutlineofreinforcementesignforbetterunderstandingftheproceduredescribedin thefollowingpages.
Thebasicrequirementsthataroundtheopeningthevesselmustbereinforcedwithan equalamountofmetalwhichhasbeencutoutfor theopening.Thereinforcementmaybe an integralpart of the vessel and nozzleor maybean additionalreinforcingpad. (Fig. A.)
This simplerule, however,needsfurtherrefinementsas follows:
1. It is not necessaryto replacethe actuallyremovedamountofmetal,but onlytheamountwhich is requiredto resistthe internalpressure.@).This requiredthicknessof thevesselat the openingsis usuallyless than at otherpointsof the shell or head.
2.The plate actually used and nozzle neck usually are thicker than would be requiredaccordingto calculation.Theexcessinthevesselwall(Al) andnozzlewall (AJ serveasreinforcements.Likewisethe insideextensionofthe opening(Aj)andthe areaof theweldmetal (AJ) canalso be taken into considerationas reinforcement.
3. The reinforcementmustbe withina certainlimit.
4. Theareaof reinforcementmustbeproportionallyincreasedif itsstressvalueislowerthanthat of the vesselwall.
5. Thearearequiredfor reinforcementmustbe satisfiedforallplanesthroughthe centerofopeningand normalto vesselsurface.
The requiredcross sectionalareaof the reinforcementshall then be:
The requiredarea for the sell or head to resistthe internalpressure, (A).Fromthis areasubtractedthe excessareaswithinthe limit(Ai.4zAjAJ).Ifthe sumof theareasavailablefor reinforcement(AJ+A?+Aj +A,) isequalor greaterthantheareato bereplaced,(A),the opening is adequatelyreinforced. Otherwise t h eifferencemust be supplied byreinforcingpad (AJ).
Somemanufacturersfollowa simplepracticeusingreinforcingpadswithacross-sectionalareawhich is equal to the metal area actuallyremovedfor the opening.This practice results inoversizedeinforcement,utwiththeelimination fcalculationstheyfinditmoreeconomical.
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130
REINFORCEMENT FOR OPENINGS1
DESIGN FOR INTERNAL PRESSURE
u
D
I-Q--l
E
~ 0.8D ,
f iNC ?@r ’ )
u
(continue@j
1. AREA OF REINFORCEMENT
For vesselsunderinternalpressurethe total cross-sectionalarea requiredfor reinforcementof openingsshall not be
less
d=
t, =
—
than:A =d XI,, where
the insidediameterofopeningin itscorrodedcondition,inches.
therequiredthicknessof shellor head computedby theapplicableformulasusingE= 1.0whentheopeningis insolidplateor ina categoryBjoint. Whenopeningpassesthroughanyotherweldedjoint,E= theefilciencyofthatjoint. When the opening is in a vessel which is radio-graphicallynot examined,E = 0.85 for typeNo. 1jointandE = 0.80 for typeNo. 2 joint.
When the opening and its reinforcementare entirelywithinthesphericalportionofaflangedanddishedhead,t, is the thickness requiredby the applicable formulasusingAl=1.
Whentheopeningisinacone,t,isthethicknessrequiredfora seamlessconeof diameter,Dmeasuredwherethenozzleaxis intersectswiththewallof the cone.
Whentheopeninganditsreinforcementareina2: 1ellip-soidalhead and are located entirelywithin a circle thecenterofwhichcoincideswiththecenteroftheheadandthe diameter of which is equal to 0.8 times the headdiameter,t,is the thicknessrequiredfor seamlesssphereof radius0.9timesthe diameterof the head.
If the stressvalueof the opening’smaterial is less thanthat of the vesselmaterial,the requiredareaA shall beincreased.(Seenextpage for examples.)
2. AVAILABLEAREASOFREINFORCEMENT
Areaof excessthicknessin thevesselwall (t—t,)d or(t–t,)(t,,~2 usethe largervalue, squareinches,
If the stressvalueof the opening%material is less thanthat of the vesselmaterial,areaAI shall be decreased.
(Seenext page forexamples.)Areaofexcessthicknessinthenozzlewall(’t,,—,)5tor(L-t,,,)t,,use — the smaller value, square inches.
Area ofinside extensionofnozzle square inches (t,,-@2h.
Areaof welds,squareinches.
IfthesumofA, A2AJandA~islessthantheareaforrein-forcementrequired,A thedifferencemustbesuppliedbyreinforcingpad.
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131.
REINFORCEMENT FOR OPENINGSDESIGNFOR INTERNAL PRESSURE
(continued)
G 3. LIMITSOFREINFORCEMENT
xx
R
Themetal usedas reinforcementmustbe locatedwithin the
k R nimits.trn The limitmeasuredparallelto the vesselwall~= dor R. + t.
+
+ t, use larger value.t Y
1, The limitmeasured parallel to the nozzle wall Y= 2.5 tor2.5t.,—,use smallervalue.
troy When additionalreinforcingpad is used, the limit, Yto bed
measuredfromthe outsidesurfaceof the reinforcingpad.
NOTATION: Rn=insideradiusof nozzlein corrodedcondition,inches.
t= thicknessoftheves- For othernotations,see theprecedingpage.selwalllesscorro-sion allowance, 4. STRENGTHOFREINFORCEMENT
inches.t,= seepreceedingpage
If the strengthof materialsin AI Az Aj AJ and A5 or the
1.= nominalthicknessmaterialofthereinforcingpadare lowerthanthat of thevessel
of nozzlewallirre-material,their area consideredas reinforcementshallbe pro-
spectiveofproduct portionatelydecreased and the required area, A in inverseformles~co~osion proportionincreased.Thestrengthofthedepositedweldmetal
allowance,nches. shallbe consideredas equivalentto theweakermaterialof thetm= requiredthickness joint.
Of;fy:;:sno=’e It isadvisabletouseforreinforcingpadmaterialidenticalwith
h= dist~nce riozzle the vesselmaterial.
projectsbeyondhe No credit shall be taken for additionalstrengthof reinforce-
innersurfaceofthe menthavinghigherstressvaluethan that of the vesselwall.vesselwalllesscor-rosion allowance, EXAMPLES:
inches. 1. a. The stress value of nozzle material: 15,000psi.c = corrosion allow- The stress value of shell material: 17,500 psi.
ance,inches.d= seeprecedingpage.
Ratio 15,000/17,5000 = 0.857To the required area, A shalI be added:
+ 2tMX (1Q 0.857)
b. From the area AI shallbe subtracted:
H—2t. (1— 0.857)
r
fn(f-1, ) 2. Usingidenticalmaterialforthevesselandreinforcingpad,
TFf“
the requiredarea for reinforcementis 12squareinches.
\
Im If the stressvalueof vesselmaterial= 17,500psi.,
P
the stressvalueof the nozzlematerial= 15,000psi.,I
I
ratio 17,500/15,000= 1,167--- ----
Itr Inthisproportionshallbeincreasedtheareaofreinforcing
--- pad:12x 1.167= 14.00square inches.
t. x t,
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132
REINFORCEMENT FOR OPENINGSDESIGNFOR INTERNAL PRESSURE
(continued
DESIGN FOR EXTERNAL PRESSURE.The reinforcement required for openings in single-walled vessels subject to externapressure need be only 50percent ofthat required for internalpressure where t,sthewathicknessrequiredbytherulesforvesselsunderextemalpressure.CodeUG-37(d)(l).
REINFORCEMENTOF OPENINGSFOREXTERNALPRESSURE.Thecross-sectionalarea (A)of reinforcementrequiredforopeningsin vesselssubje
to externalpressure:dxt
/4= ~where
ii= Diameter inthegivenplaneof the openingin its corrodedcondition,inche1,= Thewall thicknessrequiredfor externalpressure,inches.F = Factor for computation of the required reinforcement area on different plane
(as the pressure-stress varies) when the opening is in cylindrical shell or conand integrally reinforced. For all other configurations the value of F = 1
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1-JJ
REINFORCEMENT OF OPENINGSEXAMPLES
EXAMPLE 1. DESIGNDATA:Insidediameterof shell:48 in.
t“
~ -
Designpressure:250 psi at 200°F.t
Rn ShellMaterial:SA-285-Cr n
I
S = ,3,800 psi t= 0.265 in.Thevesselis spot radiographed
trI
t No allowanceforcorrosion
T
* P?
Nozzlematerial:SA-53-BI “ S=15,000 psi. tn=0.432 in.
Nozzlenom.size:6 in.Extensionof nozzle insidethe vessel: 1.5in.
+w
d h =2.5t~= 2.5 x 0.432= 1.08in.h Thenozzledoesnotpass throughseams.
Filletweldsize: 0.375 in.
Wallthicknessrequired:
for shell, t ‘SE 6P = 250 X2413,800X1.0-0.6X
= 0.440 in.—.
fornozzle,tm=~*p =250 X 2.88
15,000X 1.0-0.6X 250= 0.048 in.
AREAOFREINFORCEMENTREQUIREDA,= dt,= 5.761 x 0.440= 2.535 sq. k.
AREA OF REINFORCEMENT AVAILABLEA,= (Excess in shell.) Larger of following:
(t–tr)d =(0.625-0.440) x 5.761or 1.066Sq.in.(t-t,) (...+ ~ 2 = (0.625-0.440)x (0.432+ 0.625)x2= 0.391sq. in.
Az= (Excessinnozzleneck.)Smallerof following:(tn–tm)5t= (0.432—0.048)x 5 x 0.625= 1.200s q n
(tn–tm)5tn= (0.432-0.048) X5 X0.432= 0.829sq. in.(Nocreditfor additionalstrengthof nozzlematerialhavinghigherstressvaluethanthat of the vesselwall.)
Aj= (Insideprojection.)t. x 2h =0.432x 2 x 1.08=0.933 sq. in.
A,= (Areaof filletweld)0.3752 0.140Sq.in.
Aj = (Areaof filletweld inside)0.3752 0.140Sq.in.
TOTALAREAAVAILABLE 3.108 sq. in.Sincethis area is greaterthanthe arearequiredforreinforcement,additionalreinforcementisnot needed.
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134
REINFORCEMENT OF OPENINGSEXAMPLES
EXAMPLE 2. DESIGN DATA:Inside radius of shell: R =24 in.
t“ Designpressure:P =300 psi at 200°F.Shellmaterial:t= 0.500 in. SA-516-70platetr n
I
S = 17,500psiThe vessel is spot examined
tr~ There is no allowancefor corrosion
J T
Nozzle nominal size: 6 in.Nozzle material: SA-53 B
S = 15,000 psi. t.= 0.432 in.Extensionof nozzle insidethe vessel: 1.5in.
Filletweld size inside:0.500 in.;
h Fillet weld size outside: 0.625 in.Ratio of stress values: 15,000/17,500= 0.857
Wall thickness required:
Shell, t,= ‘R =300 X24
SE - 0.6P=0.416 in.
17,500X 1-0.6X300
Nozzle,t,.= sap =300X2.88
15,000X 1.0-0.6 X300= 0.058 in.-.
Since the strength of the nozzle material is lower than that of the vessel mate-rial, the required area for reinforcement shall be proportionally increased andthe areas available for reinforcement proportionally reduced.
AREA OF REINFORCEMENT REQUIRED
~ = dt, = 5.761 X 0.416= 2.397 sq. inArea increased:+2tnxt,(1-15,000/17,500) =2 x 0.432x 0.416(1-0,857)= 0.051sq. in. 2.448sa. in
AREAOF REINFORCEMENTVAILABLEAl= (Excess in shell.)Largerof the following:
(1- t,)d= (0.500- 0.416)x 5.761= 0.484 s q n
(t-t,)t.+ t,)2=(0.500-0.416) (0.432+ 0.500)x 2 ‘O.156sq. in.Areareduced:-2 x t . ( t - t , )1-0.857)=
-2 x 0.432x (0.500-0.416)(1-0.857)= -0.010sq. in. 0.474 sq. inA2=(Excess innozzleneck.)Smallerof following:
(t.- t,n)5t=(0.432-0.058)5X 0.500= 0.935(t.- t,n)5tn= (0.432-0.058)5 X 0.432= 0.808
Area reduced: 0.857 x 0.808 = 0.692 sq. in.Since the strength of the nozzle is lower than that of the shell,a decreased area shall be taken into consideration.
15,000/17,500 = 0.857, 0.857 X 0.808= 0.692 sq. in,43= (Insideprojection.)tnx 2A= 0.432x 2 x 1.08‘0.933
Areadecreased0.933x 0.857 = 0.800 sq. inAJ‘(Area of filletweld)2 x 0.5 x .6252x0.857= 0.334 sq. in~j ‘(Area of fillet weld inside)2 x 0.5 x .5002x 0.857= 0.214 sa. in
TOTALAREAAVAILABLE 2.514SCI.nAdditionalreinforcementnot required.
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135
REINFORCEMENT OF OPENINGSEXAMPLES
EXAMPLE 3. DESIGNDATA:Insidediameterof shell:48 in.
t“Designpressure:300 psiat 200°F.Shellmaterial:0.500 in. SA-516-60plate,
t Thevesselfidlyradiographed,E = 1rn
There is no allowanceforcorrosiontr Nozzlenominalsize: 8 in.
tNozziematerial:SA-53B, 0,500 in.wallExtensionof nozzle insidethevessel:0.5 in.
r+
Thenozzledoes notpass throughthemain#
ud t
seams.h of fiiletwelds0.375 in. (Reinforcement
pad to nozde neck.)
Wallthicknessrequired:
Shell t,= ‘R300X 24
SE– O.6P = 15,000X 1-0.6X300= 0.486 in.
Nozzle, t,. = SAP =300X3.8125
15,000X ].0–0.6 X300= 0.077 in.—.
AREAOF RE~FORCEMENT REQUIREDA =dx [,= 7.625X 0.486= 3.706 sq. in.
AREAOFREINFORCEMENTVAILABLE
AI = (Excess in shell.)Largerof the following:(t -t, )d= (0.500- 0.486)7.625= 0.106 sq. in.or (t - [, ) (t. + t) 2 = (0.500-0,486)(0.500+ 0.500)2 ‘0.028 sq. in.
Az=(Excessinnozzleneck.)Smallerof following:@-t,.)5t = (0.500-o.077)5x 0.5 = 1.058or(tn–tr.)5t. = (0.500-0.077)5X0.5= 1.058 1.058sq. in.
A3= (Insideprojection.)L x 2h = 0,500x 2 x 0.5= 0.500 sq. in.AJ‘ o f w 0 0.141 sa. in.
(Theareaofpad to shellwelddisregarded)TOTALAREAAVAILABLE 1.805 SQ.in.
Thisareais lessthantherequiredarea,thereforethedifferenceshallbeprovided
byreinforcingelement.tmaybeheaviernozzleec~kirgerextensionothenozzleinsideofthevesselorreinforcingpad.Usingreinforcingpad,therequiredareaofpad:3.706–1.805=1.901sq, in. UsingO.375in.SA-516-60plateorreinforcingpadthewidthofthepad 1.901/0.375=5.069in.
Theoutsidediameterof reinforcingpad: Outsidediameterofpipe: 8.625widthof reinforcingpad: 5.069
13.694in.
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127/
STRENGTH OF ATTACHMENTSJOINING OPENINGS TO VESSEL
EXAMPLE4DESIGNDATA
A= 3.172sq.in.,A,=0.641sq.in.,A.F0.907sq.in.= 1 2 . 8 4 5n .u t s i d ei a m e t e re i n f o r ca
8.625in.outsidediameterofnozzle.8 . 1 2 5n .e a ni a m e t e ro z z l e
S = 1 7 , 5 0 0s il l o w a b l et r e s sa l uv e s sa tS . =5 , 0 0 0s il l o w a b l et r e s sa l un o z za tt = 0 . 5 0 0n .h i c k n e s s fe s s e la l lt .0 . 5 0 0n .h i c k n e s s fo z z l ea l l
0 . 3 7 5n .e g fi l l e tw e l d0 . 2 5 0n .e g fi l l e tw e l d
t, = 0 . 2 5 0n .h i c k n e s s fe i n f o r c i n ga d
C h e c khe s t r e n g t hf a t t a c h m e n t fo z z l e .
L O A D O EA R R I E D YE L D S :(A–A,)S =(3.172—0.641)17,500= 44,293 lb.
LOADTO BECARRIEDBY WELDSa, c, e:(A2+21“OS= (0.907+ 2 x 0.500x 0.500) 15,000= 21,105 lb.
STRESSVALUEOFWELDS:Fillet - weld shear 0.49 x 17,500= 8,575psiGroove- weldtension 0.74x 17,500= 12,950psi
STRESSVALUEOFNOZZLEWALLSHEAR:0.70 x 15,000= 10,500psi
STRENGTHOFWEL~S ANDNOZZLENECK:a. Filletweldshear ~ x weldlegx 8,575= 13.55X0.375X8,575=43,572lb.b. Nozzlewallshem ~ x tnX10,5OO 12.76X0.500X10,500‘66,990 lb.
c. Grooveweldte~ion @ x weldlegx12,950= 13.55X0.500x 12,950=87,7361b.
d. Filetweldshear Z#2Xweld1egx 8,575= 20.18X0.25X8,575=43,260lb.
e. Grooveweldtension ~ weldlegx 12,950-13.55 x 0.25x 12,950=43,868lb.
POSSIBLEPATHOFFAILURE:1. Throughbandd 66,990+43,260 = 110,250lb.2. ThOU@c andd 87,736+ 43,260 = 130,996lb.3. Througha, c ande 43,572 + 87,736+ 43,868= 175,176lb.
Paths1.and2. arestrongerthanthetotalstrengthof44,293lb.Path3. is strongerthanthestrengthof21,105lb.
Theouterf i l l e te l ds t r e n g t h3,260 lb. is greater than the reinforcingpad strengthof(dP-do) t.X 17,500=1.055x 17,500=18,463lb.
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12R
LENGTH OF COUPLINGS AND PIPE FOR OPENINGS
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139
LENGTH OF COUPLING AND P FOR OPENINGS
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140
N N TTHE REQUIRED THICKNESS FOR NOZZLE NECKS IN VESSELS
UNDER INTERNAL PRESSURE (Code UG-45)
1 T t f t a l i U p cbut for other than access and inspection openings, not less
than the smaller of the following:
2. The thickness required for the vessel for internal pressure (assuming joint
efficiency, E = 1.0), but in no case less than the minimum for shells and
heads specified in UG-16 (b);
3. The minimum thickness of standard wall pipe plus corrosion allowance.
THE REQUIRED THICKNESS FOR ACCESS AND INSPECTION
OPENINGS (manways, handholes) IN VESSELS UNDER
INTERNAL OR EXTERNAL PRESSURE.
1. The thickness computed for the applicable load plus corrosion allowance
(there is no other requirement).
For selection of required pipe under internal pressure, see table “Maximum
Allowable Internal Working Pressure for Pipes” on the following pages.
EXAMPLES for using the table:
1. Opening Diam: 18”
Design Pressure: 800 psig.Corrosion Allowance: 0.125”
The Required Pipe for Manway:
The Required Pipe for Nozzle:
2. Opening Diam: 18”
Design Pressure: 150 psig.
Corrosion Allowance: 0.125”
The Vessel Wall Thickness: 0.3 125”
The Required Pipe for Manway:
The Required Pipe for Nozzle:
3. Opening Diam: 18”
Design Pressure: 140 psig.
Corrosion Allowance: 0.125”Vessel Wall Thickness: 0.750”
The Required Pipe for Manway:The Required Pipe for Nozzle:
Sch. 60,
Sch. 60,
0.750” Wall
0.750” Wall
Sch. 10, 0.250” Wall
Std. Wt. 0.375” Wall
Sch. 10, 0.250” Wall
Std. Wt. 0.328” + 0.125” Corr. Allow. = 0.453, Min. Wall=
Sch. 40 Pipe
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141
THE REQUIRED NOZZLE NECK THICKNESS FOR VESSELS UNDEREXTERNALPRESSURE(CodeUG-45)
1. Thethicknessfortheapplicableload lesst
t h em a l l e r fh eo l l o w i n g :
2. Thethicknessof head or shell requiredfor internalp r e s s us ixternadesignpressureas an equivalentinternalpressure,but k no case less than theminimumthicknessspecifiedfor materialinUG-16(b)(1/16 in. for shellsandheads,3/32in.incompressedair,steamandwaterservice,%in.forunfiredsteamboilers),pluscorrosionallowance;
3. Theminimumthicknessof standardwall pipepluscorrosionallowance.
EXAMPLE1.
Externaldesignpressure:P =35psi.MaterialSA516-60; S= 15,000
Outsidediameterof cylindricalshell:Do= 96 in.Shellthickness:t = 1 in.The requiredticknessfor 14O.D., 12in. longnozzleneck:
1. Towithstand25psi externalpressureapproximately0.05 in.wallrequired,buthe thicknessshallnot be lessthan the smallerof;
2. Thethicknessrequiredforthe shellunder35 psi internalpressure(asequivalenexternalpressure)
PR = 35x 47 =O~lo in‘= SE - 0.6P 15,000- n “ -
3. The minimumthicknessof standardwallpipe: 0.328 in. (0.375in. nom.)Th
smallerof 2. and 3.0.110 in. for wallthicknessof nozzleneck is satisfactoryEXAMPLE2.
Externaldesignpressure: P = 15 psi.
Material SA 516-60; S= 15,000Outside diameter of cylindrical shell, Do= 36 in.Shell thickness: t= 0.3125in.
The requiredthicknessfor a 14 in.D.O., 12in. longnozzleneck:
1. To withstand15psi externalpressureapproximately0.02in.wallrequired,buthe thicknessshallnot be lessthanthe smallerof the following:
2. The thicknessrequiredfor the shell under 15psi. internalpressurePR = 15x 17.6875=o 0~8 in
t =SE - 0.6P 15,000-9 “ “
3. The minimumthicknessof standardwallpipe: 0.328 in. (0.375in. nom.)Thsmallerof2. and3. is 0.018 in.,but the thicknessof thenozzleneckshall inncasebe lessthan0.0625in.UG-45(a) (2).
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142
M A
I W P F P
TheCalculationsBasedon the Formula:P=
23EtD+ 1.2t
, where
P = Themax.allowableworkingpressure,psig.S= 15,000psig.the stressvalueof the most commonlyusedmaterialsfor pipe
(A53B,A106B)at temperature-20 to 650°F. For highertemperature seenotes at the end of the tables.
E= 1.0joint efficiencyof seamlesspipeD= Insidediameterof pipe, in.t = Minimumpipewallthickness,in. (.875 times the nominal thickness).The figuresunderlinedare the maximumallowablepressurein corrodedconditio
for the pipe of whichwall thicknessis minimumthe standardwallplus corrosionallowance.
NOM. DESIG-PIPE WALL
‘IPE NATION THICKNESSUZE NOM. ~
T=EX-STG. 0.294
STD. 0.113
X-STG. 0.1543/4
SCH.160 0.218
I XX-STG. 0.308STD. I 0.133
1X-STG. 0.179
SCH.160 0.250
XX-STG. 0.358
STD. 0.140
X 0.1911-1/4
SCH.160 0.250
XX-STG. 0.382
STD. 0.145X-STG. 0.200
1-1/2SCH.160 0.281
XX-STG. 0.400STD. 0.154
X-STG. 0.2182
SCH.160 0.343
I XX-STG. I 0.436
MIN.0.095
0.129
0.164
0.257
0.099
0.135
0.191
0.2700.116
0.154
0.219
0.313
0.123
0.167
0.219
0.334
0.1270.175
0.246
0.3500.135
0.191
0.300
0.382
CORROSIONALLOWANCEN.
~- ‘;:”:g 1’412153 I 8526 5392 I 2658 252
1072 I I I4299 2192 288
6386 4069 1985 100
9712 7041 %7 2515 5802847 1261
3959 2287 I 744 I I5764 3946 2274 732
8820 7423 4842 3099 1494.2362 1126
3282 1988 774
4424 I 3059 1779 ] 578
7194 G 2848 1582
2118 1046 312982 1864 806
4333 3139 I6481 I 51641786 938
G 1696
4215 I 3260 I
2013 947
3924 2754 164126
852 44
2348 1477 642
5537 X2 2629— 174
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143
MAXIMUMALLOWABLEWORKINGPRESSURE(cent)
NOM. DESIG-PIPEWALL CORROSIONALLOWANCEN.
PIPENATION
THICKNESS o I 1/16 I 1/8 3/16 I 1/4
SIZE NOM. MIN.Max.Allow.PressurePsig.
STD. 0.203 1245 561
X-STG. 0.2762%
SCH-160 0.375
X-STG. 0.300
SCH. 160 0.438
XX-STG. 0.600
STD. 0.226
X-STG. 0.318
XX-STG. 0.636
STD. 0.237
X-STG. 0.337
SCH.120 0.438
SCH.160 0.531
XX-STG. 0.674
XX-STG. 0.552
STD. 0.216
3
.
3
4
5
6
8
STD.0.258
X-STG. 0.375
SCH.120 0.500
SCH.160 0.625
XX-STG. 0.75C
STD. 0.280
X-STG. 0.432
SCH.120 0.562
SCH.160 0.71$
XX-STG. o.86fSCH.20 0.25(
SCH.30 0.27t
0.242 I 2707 l 1971 1261 I 577I
0.328 3766 2991 2245 1525 831
0.483 5822 4969 Z 3359 2599— —
0.189 ~ 1116 556 12
0.263 2398 1801 1221 658 111
0.383 3597 2964 2350 1754 1175— —
0.525 5113 4432 3773 3134 2515
0.198 1546 1044 555 780.278 G 1689 1183 691 211
0.557 4701 4115 3546 2992 1937— —
0.208 ~ 995 561 137
0.295 2075 1616 1168 730 280
0.383 2739 2= 1802 1350 908
0.465 I 3379 I 2890 1-2412 I 1946 1490——
0.590 4394 3880 3379 2890 2412
0.226 1259 902 552 208
0.328 G 1488 1127 773 425
0.438 2520 2140 1767 1401 1042
0.547 3201 2808 2X 2044 1673
0 . 6 5 69 0 64 91 07
0 . 2 4 51 4 34 5
0.378 1793 1485 1181 882 58~
0.492 2368 G G 1431 112[
0.628 3077 2748 2425 =6 F
0.756 3767 3427 3093 2764 24400.219 777 552 329 113
0.242 861 634 411 190
X-STG. 0.500 0.438 1587 1353 1121 892 665
SCH.1OO 0.593 0.519 1896 1658 E 1189 959
SCH.120 0.718 0.628 2319 2075 1835 = u
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144
MAXIMUMALLOWABLEWORKINGPRESSURE(con~
NOM.PIPES
8
10
12
1 4
DESIG-NATION
SCH.140
SCH.160
XX-STG.
SCH.20
SCH.30
STD.
X-STG.
SCH.80
SCH.100SCH.120
SCH.140
SCH.160
SCH.20
SCH.30
STD.
SCH.40
X-STG.
SCH.60
SCH.80
SCH.100
SCH.120
SCH.140
SCH.160
SCH.10
SCH.20
STD.
SCH.40
X-STG.
SCH.60
SCH.80
SCH.100
SCH.120
SCH.140
PIPEWALLTHICKNESS
NOM.
0.812
0.906
0.875
0.250
0307
0.365
0.500
0.593
0.7180.843
1.000
1.125
0.250
0.330
0.375
0.406
0.500
0.5620.687
0.843
1.000
1.125
1.312
0.250
0.312
0.375
0.438
0.500
0.593
0.75G
0.937
1.093
1.250
~
MIN.0.711
0.793
0.766
0.219
0.269
0.319
0.438
0.519
0.6280.738
0.875
0.984
0.219
0.289
0.328
0.355
0.438
0.4920.601
0.738
0.875
0.984
1.148
z
0.273
0.328
0.383
o.43t
0.51$
0.65{
0.82(
0.95(
1.094
CORROSIONALLOWANCENo I 1/16 I 1/8 I 3/16 i“”;/4
Max.Allow.PressurePsig.
2647
2977
2868
621
766
~
1263
1506
18382179
2611
2963
522
692
~7
854
1059
11941469
1820
2178
2467
2910
475
594
716
839
962
1146
1460
1843
2166
2500
2400
2725
2617
441
585
729
l=
1318
16471984
2413
2760
371
540
635
701
904
10381311
1659
2 0 1
2 3 0
2
338
456
577
699
~
004
316
696
2017
2348
2155
2476
2370
264
406
549
894
1132
14581792
2216
2560
222
389
483
549
751
~1154
1500
1 8 5
2 1 3
2s72
202
319
440
561
682
863
1173
1550
1869
2198
1913
2231
2126
90
228
370
712
948
12701601
1986
2362
76
240
333
398
598
730~
1341
1690
1972
2
69
184
303
423
544
pJ
1031
1406
1722
2048
1675
1988
1885
50
193
532
~
10851413
1829
2166
91
184
248
486
578~
118
153
181
2
49
16
28
40
58
~
126
157
190
I
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145
MAXIMUMALLOWABLEWORKINGPRESSURE(cont.)
PLPEWALLOM.PIPESIZE
oROSIONALLOWANCEN.1/16 1/8 3/16 1/4
ESIG-NATION
THICIgOM.
iESSMIN. [ax.All
E~
398
504
717
C4
1310
1643
19802384
2674
262
354
447
541
636
729
1015
1306
1652
2002
2308
2669
x
402
~697
998
1303
1657
1974
2340
2666
: P s
x
5
1
2
4
7
1
1 3
1 72 1
2 4
5
1
2
3
4
5
7
1 0
1 4
1 7
2 0
2 4
4
2
3
5
8
1 1
1 4
1 7
2 1
2 4
SCH.160SCH.10
SCH.20
SCH.30. STD.
SCH.40X-STG.
SCH.60
SCH.80
SCH.100
SCH.120SCH.140
SCH.160
1.406 1.230 2834m
518
625
&
1108
1436
1771
21112517
2809
368
460
554
14
166
279
384
596
861
0.250
0.312
0.375
0.500
0.656
0.843
1.031
1.2181.438
1.593
0.219
0.273
0.328
0.438
0.574
0.738
0.902
1.0661.258
1.394
G
0.273
0.328
0.383
0.438
0.492
0.656
0.820
1.012
1.203
1.3671.558
m
0.328
0.4380.519
0.711
0.902
1.121
1.313
1.531
1.722
43
146
355
617
9376
18
1185
1515
18512251
2540
157
248
341
434
529
621
~6
1195
1539
1 8 8
2 1 9
2 5 5
m
3 0
4 7
6 0
900
1202
1555
1870
2234
2558
1263
15951990
2275
SCH.10
SCH.20
STD.
SCH.30
X-STG.
SCH.40
SCH.60
SCH.80
SCH.100
SCH.120
SCH.140
SCH.160
SCH.10
SCH.20 STD.
SCH.30X-STCSCH.40
SCH.60
SCH.80
0.250
0.312
0.375
0.438
0.500
0.562
0.750
0.937
1.156
1.375
1.5621.781
B
0.375
0.5000.593
0.812
1.031
1.281
1.500
1.750
1.968
38
130
222
315
407
689
974
1314
1658
19582314
649
744
838
1129
1418
1766
2118
2425
2789
T
4~
668795
1097
1403
1760
2078
2446
2774
117
284
407
~
1004
1353
1665
2025
2346
20
SCH.100
SCH.120
SCH.140
ISCH.160
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146
MAXIMUMALLOWABLEWORKINGPRESSURE(cont.)
NOM.PIPE
SIZE
22
24
26
30
DESIGNATION
SCH.10
SCH.20 STD.
X-STG.
SCH.30
SCH.40
SCH.60
SCH.80
SCH.100SCH.120
SCH.140
SCH.160
PIPEWALLTHICI
N0.250
0.312
0.375
0.437
0.500
0.562
0.625
0.688
0.750
0.250
0.375
0.500
0.562
0.687
0.968
1.218
1,5311.812
2.062
2.343
0.250
0.312
0.375
0.437
0.500
0.562
0.625
0.688
0.750
0.312
0.375
0.500
JESS
MIN.0.219
0.273
0.328
0.382
0.438
0.492
0.547
0.602
0.656
0.219
0.328
0.438
0.492
0.601
0.847
1.066
1.3401.586
1.804
2.050
0.219
0.273
0.328
0.382
0.438
0.492
0.547
0.602
0.656
0.273
0.328
0.438
376
452
G
606
681
761
839
916
275
414
z
625
766
1089
1381
17532093
2399
2750
2 5 4
3 1 7
3 8 2
4 4 6
5 1 2
5 7 6
6 4 1
7 0 7
7 7 2
275
330
443
214 I
289
365
440
519
G
672
750
827
196
334
475
5Z
685
1006
1297
16672006
2311
2660
181
244
308
372
438
502
567
633
697
211
267
379
128
202
278
353
431
507
584
661
738
117
255
395
464
6X
924
1214
15821919
2223
2571
108
171
235
298
364
428
493
558
622
148
204
315
T116
192
267
344
419
496
G
649
40
176
315
384
524
842
1131
14981833
2135
2482
37
98
162
225
291
354
419
F4
548
85
141
252
3
10
13
25
33
40
48
z
9
23
30
44
G
104
141
174
204
239
2
9
15
21
28
34
41
47
2
7
18
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147
NOTE: IFTHESTRESSVALUEOFPIPELESSTHAN15,000PSIG.DUETOHIGHERTEMPERATURE,MULTIPLYTHEMAX.ALLOWABLERESSUREGIVENINTHETABLESBYTHEFACTORSINTHISTABLE:
TEMPERATURENOTEXCEEDINGDEGREEOF
650 700 750 800 850 900 950 1000
A53BStress 15000 14350 12950
10800 86506500 – –
A 106B ‘ : s ’ + : s5000 14350 12950 10800 8650 6500 4500 2500FACTOR 1.000 0.9566 0.8633 0.7200 0.5766 0.4333 0.3000 0.1666
Example:
TheMaximumAllowancePressurefor 6“ x Stg.PipeWitha Corrosion
Allowanceof 1/8” FromTable= 1181psi.- at Temperature800°F
TheMax.Allow.Press.1181x 0.72= 850 psig.
Example to find max. allow. pressure for any stress values:
TheMax.Allow.Press.1181Psig.FromTables
TheStressValue 13000psi.
For ThisPipeTheMax.Allow.Pressure ~Wo x 1181 = 1023psi.
NOZZLEEN~CMKpTT~CKNESS wI C O R R O S I O N o 0
1
2
3
4
Requiredfor Loadings(UG-22) 0.250$ 0.018 0.3125
J.E. 0.85 0.250 0.250 0.3125VesselWall
J.E. 1.00 0.213 0.213 0.2660
NOM. 0.280 0.280 0.2806 in. Std.Pipe
MIN. 0.245 0.245 0.245
Minimumf o rh e l l sH e a d sG - 1 6b ). 0 6 2. 0 6.
I no m p r e s s e di r ,t e a m &a t e re r v i c eG - 1 6b ). 0 9 3. 0 9.
F o rn f i r e dt e a mo i l e r sG - 1 6b ). 2 5 0. 2 5.
0 .* T h ei n i m u me a u i r e dh i c k n e s so ro z z l ee c kI 0 . 3
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148
R W T F P
U I P
The required wall thickness for pipes, tabulated on the following pages, has been
computed with the following formula:
PR
‘= SE– O.6P
t = the required minimum wall thickness of pipe,
P = internal pressure, psig.
, where
in.
S= 15,000psig.t h et r e s sa l u e fh eo s to m m o n l ys ea t e r ior pipe.A 53 B and A 106 B @temperature –20 to 650°F.
E = Joint efficiency of seamlesspipe
R = inside radius of the pipe, in.
For the insidediameter of the pipe round figures are shown. With interpolationthe required thickness can be determined with satisfactory accuracy.
The thicknesses given in the tables do not include aIlowance
For the determination of the required pipe wall thickness in
various pipingcodes shall be applied.
Selecting pipe,the 12.5% tolerance in wall thickness shall be
for corrosion.
piping systems the
taken into consider-ation. The”minimum thickness of the pipe wall equals the nominal thicknesstimes .875.
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149
REQUIRED PIPE WALLTHICKNESS
FOR INTERNAL PRESSURE
1.s.
11AM,
1
2
3
4
5
6
7
8
9
1 0
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
2 0
2 1
2 2
2 32 4
2 5
2 6
2 7
2 8
2 9
3 0
500 . 0 0 2
0 . 0 0 3
0 . 0 0 5
0 . 0 0 7
0 , 0 0 8
0 . 0 1 0
0 . 0 1 2
0 . 0 1 3
0 . 0 1 5
0 . 0 1 7
0 . 0 1 8
0 . 0 2 0
0 . 0 2 2
0 , 0 2 3
0 . 0 2 5
0 . 0 2 7
0 . 0 2 8
0 . 0 3 0
0 . 0 3 2
0 . 0 3 3
0 . 0 3 5
0 . 0 3 7
0 . 0 3 80 . 0 4 0
0 . 0 4 2
0 . 0 4 4
0 . 0 4 5
0 . 0 4 7
0 . 0 4 8
0 . 0 5 0
100
0 . 0 0 3
0 . 0 0 7
0 . 0 1 0
0 . 0 1 3
0 . 0 1 7
0 . 0 2 0
0 . 0 2 3
0 . 0 2 7
0 . 0 3 0
0 . 0 3 3
0 . 0 3 7
0 . 0 4 0
0 . 0 4 4
0 . 0 4 7
0 . 0 5 0
0 . 0 5 4
0 . 0 s 7
0 . 0 6 0
0 . 0 6 4
0 . 0 6 7
0 . 0 7 0
0 . 0 7 4
0 . 0 7 70 . 0 8 0
0 . 0 8 4
0 . 0 8 7
0 . 0 9 0
0 . 0 9 4
0 . 0 9 7
0 . 1 0 0
150
0 . 0 0 5
0 . 0 1 0
0 . 0 1 5
0 . 0 2 0
0 . 0 2 5
0 . 0 3 0
0 . 0 3 5
0 . 0 4 0
0 . 0 4 5
0 . 0 5 0
0 . 0 5 5
0 . 0 6 0
0 . 0 6 5
0 . 0 7 0
0 . 0 7 . 5
0 . 0 8 0
0 . 0 8 6
0 . 0 9 1
0 . 0 9 6
0 . 1 0 1
0 . 1 0 7
0 . 1 1 1
0 . 1 1 60 . 1 2 1
0 . 1 2 6
0 . 1 3 1
0 . 1 3 6
0 . 1 4 1
0 . 1 4 6
0 . 1 5 1
PRESSURE PSIG.
200
0 . 0 0 7
0 . 0 1 3
0 . 0 2 0
0 . 0 2 7
0 . 0 3 4
0 . 0 4 0
0 . 0 4 7
0 . 0 5 4
0 . 0 6 0
0 . 0 6 7
0 . 0 7 4
0 . 0 8 1
0 . 0 8 7
0 . 0 9 4
250
0 . 0 0 8
0 . 0 1 7
0 . 0 2 5
0 . 0 3 4
0 . 0 4 2
0 . 0 5 1
0 . 0 5 9
0 . 0 6 7
0 . 0 7 6
0 . 0 8 4
0 . 0 9 3
300
0 . 0 1 0
0 . 0 2 0
0 . 0 3 0
0 . 0 4 0
0 . 0 5 1
0 . 0 6 1
0 . 0 7 1
0 . 0 8 1
0 . 0 9 1
0 . 1 0 1
0 . 1 1 1
0 , 1 2 1
0 . 1 3 2
0 . 1 4 2
0 . 1 5 2
0 . 1 6 2
0 . 1 7 2
0 . 1 8 2
0 . 1 9 2
0 . 2 0 2
0 . 2 1 3
0 . 2 2 3
0 . 2 3 30 . 2 4 3
0 . 2 5 3
0 . 2 6 3
0 . 2 7 3
0 . 2 8 3
0 . 2 9 4
0 . 3 0 4
3500 . 0 1
0 . 0 2
0 . 0 3
0 . 0 4
0 . 0 5
0 . 0 7
0 . 0 8
0 . 0 9
0 . 1 0
0 . 1 1
0 . 1 3
0 . 1 4
0 . 1 5
0 . 1 6
0 . 1 7
0 . 1 8
0 . 2 0
0 . 2 1
400
0 . 0
0 . 0
0 . 0
0 . 0
0 . 0
0 . 0
0 . 0
0 . 1
0 . 1
0 . 1
0 . 1
0 . 1
0 . 1
0 . 1
0 . 2
0 . 2
o . ~ 3
0 . 2
0 . 2
0 . 2
0 . 2
0 . 2
0 . 30 . 3
0 . 3
0 . 3
0 . 3
0 . 3
0 . 3
0 , 4
450
0 . 0
0 . 0
0 . 0
0 . 0
0 . 0
0 . 0
0 . 1
0 . 1
0 .
0 . 1
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .0 ,
0 .
0 .
0 .
0 .
5000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
00
0
0
0
0
0
0
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150
REQUIREDPIPEWALLTHICKNESS
FORINTERNALPRESSURE(cent)
1IAM.
1
2
3
4
5
6
7
8
9
1 0
1 1
1 2
1 3
1 4
1 s
1 61 7
1 8
1 9
2 0
2 1
2 2
2 3
2 42 5
2 6
2 7
2 8
2 9
3 0
550
D . 0 1 9
0 . 0 3 7
0 . 0 5 6
0 . 0 7 5
0 . 0 9 4
0 . 1 1 2
0 . 1 3 1
0 . 1 5 0
0 . 1 6 90 . 1 8 7
0 . 2 0 6
0 . 2 2 5
0 . 2 4 4
0 . 2 6 2
0 . 2 8 1
0 . 3 0 00 . 3 1 9
0 . 3 3 7
0 . 3 5 6
0 . 3 7 5
0 . 3 9 4
0 . 4 1 2
0 . 4 3 1
0 . 4 5 00 . 4 6 9
0 . 4 8 7
0 . 5 0 6
0 . 5 2 5
0 . 5 4 4
0 . 5 6 2
600
) . 0 2 0
3 . 0 4 1
D . 0 6 2
3 . 0 8 2
0 . 1 0 2
0 . 1 2 3
0 . 1 4 3
0 . 1 6 4
0 . 1 8 40 . 2 0 5
0 , 2 2 5
0 . 2 4 6
0 . 2 6 6
0 . 2 8 7
0 . 3 0 7
0 . 3 2 80 . 3 4 8
0 . 3 6 9
0 . 3 8 9
0 . 4 1 0
0 . 4 7 1
0 . 4 9 20 . 5 1 2
0 . 5 3 3
0 . 5 5 3
0 . 5 7 4
0 . 5 9 4
0 . 6 1 5
650
0 . 1 1 1
0 . 1 3 3
0 . 1 5 6
0 . 1 7 8
0 . 2 0 00 . 2 2 2
0 . 2 4 5
0 . 2 6 7
0 . 2 8 9
0 . 3 1 1
0 . 3 3 4
0 . 3 5 60 . 3 7 8
0 . 4 0 0
0 . 4 2 3
0 . 4 4 5
0 . 4 6 7
0 . 4 8 9
0 . 5 1 2
0 . 5 3 40 . 5 5 6
0 . 5 7 8
0 . 6 0 1
0 . 6 2 3
0 . 6 4 5
0 . 6 6 7
700
0 , 4 8 0
0 . 5 0 4
0 . 5 2 8
0 . 5 5 2
0 . 5 7 60 . 6 0 0
0 . 6 2 4
0 . 6 4 8
0 . 6 7 2
0 . 6 9 6
0 . 7 2 C
PRESSUREPSIG.
750
0 . 0 2 6
0 . 0 5 2
0 . 0 7 7
0 . 1 0 3
0 . 1 2 9
0 . 1 5 5
0 . 1 8 0
0 , 2 0 6
0 . 2 3 2
0 . 2 5 8
0 . 2 8 4
0 . 3 0 9
0 . 3 3 5
0 . 3 6 1
0 . 3 8 7
0 . 4 1 20 . 4 3 8
0 . 4 6 4
0 . 4 9 0
0 . 5 1 5
0 . 5 4 1
0 . 5 6 7
0 . 5 9 3
0 . 6 1 90 . 6 4 5
0 . 6 7 0
0 . 6 9 6
0 . 7 2 2
0 4 7 4 7
0 . 7 7 3
800
0 . 0 2 8
0 . 0 5 5
0 . 0 8 3
0 . 1 1 0
0 . 1 3 8
0 . 1 6 5
0 . 1 9 3
0 . 2 2 0
0 . 2 4 8
0 . 2 7 5
0 . 3 0 3
0 . 3 3 1
0 . 3 5 8
0 . 3 8 6
0 . 4 1 3
0 . 4 4 10 . 4 6 8
0 . 4 9 6
0 . 5 2 3
0 . 5 5 1
850
0 . 0 2 9
0 . 0 5 9
0 . 0 8 8
0 . 1 1 7
0 . 1 4 7
0 . 1 7 6
0 . 2 0 5
0 . 2 3 5
0 . 2 6 4
0 . 2 9 3
0 . 3 2 3
0 . 3 5 2
0 . 3 8 1
0 . 4 1
0 . 4 4 0
0 . 4 6 90 . 4 9 9
0 . 5 2
0 . 5 5
0 S 8
0 . 6 1
0 . 6 4
0 . 6 7
0 . 7 00 . 7 3
0 . 7 6
0 . 7 9
0 . 8 2
0 . 8 5
0 . 8 8
900
0.0310.062
0.093
0.124
0,156
0.187
0.218
0.249
0.280I0.311~
0 . 3 4
0 . 3 7
0 . 4 0
0 . 4
0 . 4
0 . 40 . 5
0 . 5
0 . 5
0 . 6
0 . 6
0 . 6
0 . 7
0 . 70 . 7
0 . 8
0 . 8
0 . 8
0 . 9
0 . 9
950 1
0.694
0.729
1
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151
1.s.)IAM.
1
2
3
4
5
6
7
8
9
1 0
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
2 0
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
3 0
REQUIREDPIPEWALLTHICKNESSFORINTERNALPRESSURE(cont.)
1100
0 . 0 7 7
0 . 1 1 5
0 . 1 5 3
0 . 1 9 2
0 . 2 3 0
0 . 2 6 8
0 . 3 0 7
0 . 3 4 5
0 . 3 8 4
0 . 4 2 2
0 . 4 6 0
0 . 4 9 9
0 . 5 3 7
0 . 5 7 5
0 . 6 1 4
0 . 6 5 2
0 . 6 9 0
0 . 7 2 9
0 . 7 6 8
0 . 8 0 5
0 . 8 4 4
0 . 8 8 2
0 . 9 2 0
0 . 9 5 9
0 . 9 9 7
1 . 0 3 6
1 . 0 7 4
1 . 1 1 2
1 . 1 5 1
12000 . 0 4 2
0 . 0 8 4
0 . 1 2 6
0 . 1 6 8
0 . 2 1 0
0 . 2 5 2
0 . 2 9 4
0 . 3 3 6
0 . 3 7 8
0 . 4 2 0
0 . 4 6 2
0 . 5 0 4
0 . 5 4 6
0 . 5 8 8
0 . 6 3 0
0 . 6 7 2
0 . 7 1 4
0 . 7 5 6
0 . 7 9 8
0 . 8 4 0
0 . 8 8 2
0 . 9 2 4
0 . 9 6 6
1 . 0 0 8
1 . 0 5 0
1 . 0 9 2
1 . 1 3 4
1 . 1 7 6
1 . 2 1 8
1 . 2 6 0
13000 . 0 4 6
0 . 0 9 1
0 . 1 3 7
0 . 1 6 3
0 . 2 2 9
0 . 2 7 4
0 . 3 2 0
0 . 3 6 6
0 . 4 1 1
0 . 4 5 7
0 . 5 0 3
0 . 5 4 9
0 . 5 9 4
0 . 6 4 0
0 . 6 8 6
0 . 7 3 2
0 . 7 7 7
0 . 8 2 3
0 . 8 6 8
0 . 9 1 4
0 . 9 6 0
1 . 0 0 6
1 . 0 5 1
1 . 0 9 7
1 . 1 4 3
1 . 1 8 8
1 . 2 3 4
1 . 2 8 0
1 . 3 2 6
1 . 3 7 1
PRESSURE PSIG.
14000 . 0 4 9
0 . 0 9 9
0 , 1 4 8
0 . 1 9 8
0 . 2 4 7
0 . 2 9 7
0 . 3 4 6
0 . 3 9 5
0 . 4 4 5
0 . 4 9 4
0 . 5 4 4
0 . 5 9 3
0 . 6 4 3
0 . 6 9 2
0 . 7 4 2
0 . 7 9 1
0 . 8 4 0
0 . 8 9 0
0 . 9 3 9
0 . 9 8 9
1 . 0 3 8
1 . 0 8 8
1 .. 3 7
1 . 1 8 6
1 . 2 3 6
1 . 2 8 6
1 . 3 3 4
1 . 3 8 4
1 . 4 3 4
1 . 4 8 3
15000 . 0 5 3
0 . 1 0 6
0 . 1 6 0
0 . 2 1 3
0 . 2 6 6
0 . 3 1 9
0 . 3 7 2
0 . 4 2 6
0 . 4 7 9
0 . 5 3 2
0 . 5 8 5
0 . 6 3 8
0 . 6 9 1
0 . 7 4 5
0 . 7 9 8
0 . 8 5 1
0 . 9 0 4
0 . 9 5 8
1 . 0 1 1
1 . 0 6 4
1 . 1 1 7
1 . 1 7 0
1 . 2 2 3
1 . 2 7 7
1 . 3 3 0
1 . 3 8 3
1 . 4 3 6
1 . 4 9 8
1 . 5 4 3
1 . 5 9 6
16000 . 0 5 7
0 . 1 1 4
0 . 1 7 1
0 . 2 2 8
0 . 2 8 5
0 . 3 4 2
0 . 3 9 9
0 . 4 5 6
0 . 5 1 3
0 . 5 7 0
0 . 6 2 7
0 . 6 8 4
0 . 7 4 1
0 . 7 9 8
0 . 8 5 5
0 . 9 1 2
0 . 9 6 9
1 . 0 2 6
1 . 0 8 3
1 . 1 4 0
1 . 1 9 7
1 . 2 5 4
1 . 3 1 1
1 . 3 6 8
1 . 4 2 5
1 . 4 8 1
1 . 5 3 8
1 . 5 9 5
1 . 6 5 2
1 . 7 0 9
17000 . 0 6
0 . 1 2
0 . 1 8
0 . 2 4
0 . 3 0
0 . 3 6
0 . 4 2
0 . 4 8
0 . 5 4
0 . 6 0
0 . 6 6
0 . 7 3
0 . 7 9
0 . 8 5
0 . 9 1
0 . 9 7
1 . 0 3
1 . 0 9
1 . 1 5
1 . 2 1
1 . 2 7
1 . 3 3
1 . 3 9
1 . 4 5
1 . 5 2
1 . 5 8
1 . 6 4
1 . 7 0
1 . 7 6
1 . 8 2
18000 . 0
0 . 1
0 . 1
0 . 2
0 . 3
0 . 3
0 . 4
0 . 5
0 . 5
0 . 6
0 . 7
0 . 7
0 . 8
0 . 9
0 . 9
1 . 0
1 . 0
1 . 1
1 . 2
1 . 2
1 . 3
1 . 4
1 . 4
1 . 5
1 . 6
1 . 6
1 . 7
1 . 8
1 . 8
1 . 9
19000 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 .
0 ,
0 .
0 8
0 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
1 .
2 .
20000
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2 I
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152
REQUIRED PIPE WALLTHICKNESS
FOR INTERNAL PRESSURE (cont.)
1.s. PRESSURE PSIG.
‘lM” 2100 2200 2300 2400 2500 2600 2700 2800 2900 3000
1
2
3
4
5
6
7
8
9
1 . 0 6 4. 1 1. 1.
1 2. 9 1 7. 9 6 5, 0 1 3. 0 6 2. 1 1 1. 1 6 1. 2 1. 2.
1 3. 9 9 3. 0 4 5. 0 9 8. 1 5 0. 2 0 4. 2 5 7. 3 1. 3,
1 4. 0 7 0. 1 2 6. 1 8 2. 2 3 9. 2 9 6. 3 5 4. 4 1. 4,
1 5. 1 4 6. 2 0 6. 2 6 7. 3 2 7. 3 8 9. 4 5 1. 5 1. 5.
1 6. 2 2 3. 2 8 7. 3 5 1. 4 1 6. 4 8 1. 5 4 8. 6 1. 6.
1 7. 2 9 9. 3 6 7. 4 3 5. 5 0 4. 5 7 4. 6 4 4. 7 1. 7.
1 8. 3 7 6. 4 4 7. 5 2 0. 5 9 3. 6 6 7. 7 4 1. 8 1. 8.
1 9. 4 5 2. 5 2 8. 6 0 4. 6 8 1. 7 5 9. 8 3 8. 9 1. 9.
2 0. 5 2 8, 6 0 8. 6 8 9. 7 7 0. 8 5 2. 9 3 5. 0 1. 1.
2 1. 6 0 5. 6 8 9. 7 7 3. 8 5 8. 9 4 4. 0 3 1. 1 1. 2.
2 2. 6 8 1. 7 6 9. 8 5 8. 9 4 7. 0 3 7. 1 2 8. 2 2. 3.
2 3. 7 5 8. 8 4 9. 9 4 2. 0 3 6. 1 3 0. 2 2 5. 3 2. 4.
2 4. 8 3 4. 9 3 0. 0 2 6. 1 2 4. 2 2 2. 3 2 1. 4 2. 5.
2 5. 9 1 0. 0 1 0. ]] 2 . 2 1 2. 3 1 5. 4 1 8. 5 2. 6.
2 6. 9 8 7. 0 9 0. 1 9 5. 3 0 1. 4 0 7. 5 1 5. 6 2. 7.
2 7. 0 6 3. 1 7 1. 2 8 0. 3 8 9. 4 5 0. 6 1 2. 7 2. 8.
2 8. 1 4 0. 2 5 1. 3 6 4. 4 7 8. 5 9 3. 7 0 8. 8 2. 9.
2 9. 2 1 6. 3 3 2. 4 4 9. 5 6 6. 6 8 5, 8 0 5. 9 2. 0.
3 0. 2 9 3. 4 1 2. 5 3 3, 6 5 5, 7 7 8. 9 0 2. 0 2. 1.
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153
N E F MC V
P i p i n g yh ed j o i n i n go z z l e sx e r to c a lt r e s s nh ee s s e l .h ee t h o delow,todeterminethenozzleloadsisbasedinpartontheBulletin107ofWeldingResearchCouncilandrepresents
a simplificationof it.Thevesselsarenot intendedto serveas anchorpointsfor thepiping.Toavoid excessiveloadingin the vessel,the pipingshall be adequatelysupported.
FRJWr{,
I
4AR.
*—.
———— — - - — —.
,
E x t e r n a lo r c e sM o m e n t s
T oalculate the maximum force and moment, first evaluate ~and y.Then determineCL2, and A from Figures 1, 2 and 3, for the specified~ and ~ substitute into theaquationsbelow,and calculateFRRF,
fl=.875 ($) Y=+
Determine CL~and A fromFigures1,2 and 3.CalculatePressureStress(~.
0= (q(R.-;)
[f a is greaterthan S0,thenuseS. as the stressdueto designpressure.
FM= R;— (ST—O) A4RCM R~2roSy Mm = S –0)& Y
x
Plot the value ofFN a sWand the smaller of .~~c~and MMas A4w.The allowable nozzle loads are bounded by the areaof FRF,O,A41w,
~R\f
EXAMPLE: Determine Resultant Force and MomentRm=37.5 T= .7511 SY= 31,500 psi@ 460°rO= 15“ P = 150 psi S. = 17,500 psi
b= .875(%)= .875 (&)= .35 ()y= + = ~= 50
FromFigure 1,a = 440 FromFigure2,2= 1,070 FromFigure3, A= 340
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154
NOZZLE EXTERNAL FORCES AND MOMENTSIN CYLINDRICAL VESSELS (continued)
;alculatePressureStress2(150)375 ~ = 14,850psic&=17,500 psi
‘=%m-3= 75( ~ - 2)
Jse o= 24,850in theequationsfor calculatingFRRFndMkM~alculateAllowableForcesandMoments
Fw= ~ (~y. @=(#2(3 1,500—14,850)= 53,214lb.
~RcM=Rm2~o~y =37.52 (15) (31,500) = ~zo 984 in-lbz 1,070 9
M-m= y (sy — (37.5)2 (15)= (31,500—14,850—l,032,97~ in-lb.‘-= ~
IL= i n - l b .
P l o to rh ea l u e fRFa n hm ak f , Q ~ & fn d1 7 L M sf W .hl l o w a bo zoa r eo u n d e d yh er e a’RF, 0, Mm.
T h e r e f o r e ,n o z z l ee a c t i o nF =2 0 , bk ? =0 0 , 0 0 0n .b s .o u ll l o w ap ob u tn o z z l ee a c t i o n= 5 , 0 0b6 2 0 , 0 0 0 *n .b s .o u l dol l o w ap
* N o t e :s eb s o l u t ea l u ehr a p
S O T A T I O N :
P = DesignPressure,poundsper sq. in.
‘ oN o z z l eu t s i d ea d i u s ,n c h e sR .M e a na d i u s fh e l l ,n c h e s
T = S h e l lh i c k n e s s ,n c h e s
S yY i e l dt r e n g t h fa t e r i a l te s i g nT e m p e r a t u r e ,o u n d se rq u a r en c h
o = S t r e s su e t oe s i g n P r e s s u r e ,o u n d sp e rq u a r en c h
s .S t r e s sa l u ef S h e l la t e r i a l ,o u n d sp e rq u a r en c h .
~ = D i m e n s i o n l e s su m b e r s
Y = D i m e n s i o n l e s su m b e r sa = D i m e n s i o n l e s su m b e r s
Z = DimensionlessNumbers
A = D i m e n s i o n l e s su m bFRRF = Maximum Resultant Radial Forc(
pounds*
k f R c , @a x i m u me s u l t ai r c u mM o m e n t mi n c h - p o u n
I W Ma x i m u me s u l t ao n g i tm e n t ,n c h - p o u n d s
FRF = M a x i m u me s u l t ao ro
F ’ R MM a x i m u me s u l t ao mp o u n d s *
* U s eb s o l u t ea l u e
REFERENCES:
Local Stresses in Spherical and Cylindrical Shells due to External Loadings, K. R.Wichman, A. G. Hopper and J. L. Mershon — Welding Research Council. Bulletin107/August 1965— Revised Printing — December 1968.
Standardsfor ClosedFeedwaterHeaters,Heat Exchange Institute, Inc., 1969.
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15
NOZZLE LOADS
Fig. 1
1OJ
98765
4
3
2
9
;65
43
2
a
98765
4
3
2
]0298765
4
3
2
10
1 i::: i1 , , , , , , t I 1 1 I 1 1 i I 1 1 I 1 I I I 1 I I I I I ( ,,,, I 1 , , I [ I I I I I I I I I 1 I I I, , f , I I I [ WI I ,: I I I I I [ I I I I I I I [’1 I I I
t, ,-
I :-+- r i {I--+--L - l-l++ +--l-%-l-~ -: . .: I \. I I : i I ~ i i ~
, , ; , I I , ?I , ; , I 1 I I I; I : I 4 : : 4-%-4 ~ì´„• .’ . ”” i :”m --, ----:;,1 I
1 . . . .
, I1 1
1 [1 r t
, I I ,
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1 5 6
NOZZLE LOADS
Fig 2
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11
NOZZLE LOADS,
Fig. 3
1OJ9876
5
4
3
2
65
4
3
2
Alo]987
6
5
4
3
2
]0298765
4
3
2
100 .05 .1 .15 .2 .25 .3 .35 .4 .45 .5
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1“,
RT J C C
U I P
A the junction of cone or conical section to cylinder (Fig. C and D) dueto bending and shear, discontinuity stresses are induced which are with
reinforcement to be compensated.
DESIGN PROCEDURE (The half apex angle cz<30 deg.)
1. Determine P/S,EI and read the value of~ from tables A and B“
2. Determine factor y, For reinforcing ring on shell, y = s~~~For reinforcing ring on cone, y/S’~E~
TABLE A - VALUESOF A FOR JUNCTIONS AT THE LARGE ENDP/S,,EI 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009*
A,deg. 11 15 18 21 23 25 27 28.5 30
TABLE B - VALUES OF A FOR JUNCTIONS AT THE LARGE ENDP/S,, EI 0.002 0.005 0.010 0.020 0.040 0.080 0.100 0.125*
A, deg. 4 6 9 12.5 17.5 24 27 30
*A = 3 0e g .o rr e a t e ra l u e f/S~EI
W t v o A i l t c r b p
3 D e=y/S, E, (Use minimum 1.0 for k in formula).
4. Design size and location of reinforcing ring (see next page).
NOTATION
E = with subscriptss,c or r modulusof R~=insideradiusof largecylinderat largeelasticityofshell,coneorreint20rcing endofcone,in.ringmaterialrespectively,psi. R=inside radiusof smallcylinderat smallSeechartsbeginningonpage43 for endofcone,in.modulusof elasticity. S= withsubscriptss,corrallowable stress
E= with subscriptslor 2 efllciencyof of shell,coneor reinforcingmaterial,weldedjoints in shellor cone psi.respectively. t= minimum required thickness of cylin-
For compression E=l.O for butt deratthejunction,in.welds. t,= actualthicknessofcylinderatthejunc-
fi= axialloadat largeendduetowind, tion,in.deadload,etc.excludingpressure, t,= requiredthicknessof conelbfin. atthejunction,in.
j= axialloadat smallendduetowind, t.= actualthicknessofconeatthejunction,deadload,etc.excludingpressure, in.lblin. U= halfapexangleofconeor conicalsec-
P= Designpressure,psi tion,deg.
Q~=algebraics~ofPR~/2 andfi 1b/in. A= anglefi-omtableA orB,deg.
Q,=algebraicsumofPIL/2andfi lb/in. ~ = factor:SSE, orSCEC
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160
RT J C C
FORMULAS
E l
JUNCTION AT THE LARGE ENDM ; x .Required area of reinforcement, A sq. in. when tension governs
(see notes)
()~ ~ . kQLRL 1 .L
r S,EI a tan a
Area of excess metal for reinforcement, sq. in.FIG. C
P
A.L = (t,—t) G+ (t.—t~ {h./ cos CZ
Thedistancefromthejunction withinwhichthe additionalreforcementshallbe situated, in.
GM;x.30”
Thedistancefromthejunctionwithinwhichthe centroidof th
FIG.D reinforcementshallbe situated, in.
0.25X~
JUNCTION AT THE SMALL ENDRequiredarea of reinforcementA sq. in.whentensiongoverns(seenotes)
()kQsR, A
‘,, = S,E1 la tan a
Area of excess metal available for reinforcement A., sq. in.
A,, = (t, /zj cos (a—A) (t.+ m+ (tC/t,)x (a—A)
{Rst. / cos a
The distance from the junction within which the centroid of the reinforcement shallbe situated, in.
K
The distance from the junction within which the centroid of the reinforcement shallbe situated, in.
0.25 X
N O T E S :h e nt t h e j u n c t i o n c o m p r e s s i v eo a d s ~r f i e x c e e d t h e t e n s i o n a lo ae t e2 o rR , / 2e s p e c t i v e l y ,h ee s i g nh a l l e nc c o r d a n c ei t hg )“ aat h rt h eu l e s fh eo d e ,e c t i o nI I I ,i v i s i o n. ” )
W h e nh ee d u c e r sa d eu tf t w o ro r eo n i c a le c t i o n sf d i f f e r e npn gia n dh e nh ea l fp e xn g l e ,i sr e a t e rh a n 0e g . ,h ee s i ga y ba ss p( C o d e- 5~ &g ) .
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161
RT J C C
E
DESIGN DATA:= 30 deg. half apex angle of cone.
;.ECE,=30x 1 m o e p= 1.0,joint efficiencyin shellandcone= 0.55,joint efficiencyin reinforcingring= 800 lb/in,axialload at largeend= 952 lb/in,axialload at smallend= 50psi., internaldesignpressure
a = 100 in., insideradiusof largecylinder= 84 in., insideradiusof smallcylinder= 13,800psi., allowablestressof shellmaterial= 13,800psi., allowablestressof conematerial= 14,500psi., allowablestressof ringmaterial= 0.429 in.,requiredmin.thicknessfor largecylinder
= 0.360in.,requiredmin. thicknessfor smallcylinder= 0.500 in. actualthicknessof cone.= 0.4375in., actualthicknessof largecylinder
dL
= 0.375in.,actualthicknessof smallcylinder= 0.41 in., required thickness of cone at small cylinder
t,L = 0.49 in.,requiredthicknessof cone at largecylinder
Jsing the same material for shell and cone.
.. P/SsEI = 5013,800 X 1
= 0.0036 f t A A= 1
S A i l t ~ r er
U r eo t s
~ SsE.= 1 X 3 0 X061. Factor k=y/SrE~= 13,800 x30x 106/ 14,500x30x 106= 0.95
Use k = 1
1. QL=PRL12fI , l = 5 + 800= 3,300 lb/in.
j. The required cross-sectional area of compression ring:
kQLRL~ArL= SE
()- + t a =
(1X 3,300x 100 1 19.8- ~ tan30°=4.69 sq in.
13,800X 1The are: o’fexcess in shell available for reinforcement:AeL= (ts- ~ ~+ (tc- tr) @t~ /COS~
=(0.4375 - 0.429)X ~100 X0.4375 + (0.5 - 0.49) x{1OO X 0.5/cos 30°= 0.132 sq. in.
A,L- AeL=4.69-0.132 =4.55 in. the required cross sectional area ofcompression ringUsing 1 in. thick bar, the width of ring: 4.55/1 = 4.55 in.
Location of compression ring:Maximum distance from the junction = ~= ~100 x 0.4375 = 6.60 in.
Maximum distance of centroid from the junction= 0.25 ~~ =0.25 {100 x 0.4375= 1.65 in.
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162
RT J C C
E (continuea)
JUNCTION AT SMALL CYLINDER
1. PAS,El =0.0036; fromtableBA= 5°
SinceA is less than et,reinforcementis required.2. Factor~= S,E,=13,800x30x10s
3. Factork=l
4. QS=PR, /2+~lb./in =50~84+ 952= 3,0521b”/in”
5. Therequired cross-sectionalarea of compressionring:~r, = kQsRS~-~ tan ~= 1~~>~~~~ 184l~o tan 300= 8.94 sq. in.
(),E, u ? ()
The area of excess in shell available for reinforcement:
A,. = (t, / t,) –A) (t, - ~ %+ (LI t,)
x cos (a – A) (tc - t,) * StCcos a
(0.395/0.36) XCOS30-5) X (0.375 - 0.36)X 484X .0375
+ (0.5/0.41) cos (30-5) x (0.5-0.41) x ~84 x 0.5/cos 30°= 0.77 sq. in.
A,. - A,, = 8.94-0.77 = 8.17 sq. in., the required cross sectional area of compres-sion ring.
Using lfi thick bar, the required width of the bar: 8.17/ 1.5 = 5.45 in.
Location of the compression ring:
Maximum distance from the junction: a = 484 x 0.375 = 5.6 in.
Maximum distance of centroid from the junction:0.25 fi= 484 x 0.4375 = 1.5 in.
Insulation ring may be utilized as compression ring provided it is continuousand the ends of it are joined together.
Since the-moment of intertia of the ring is not factor, the use of flat bar rolledeasy-way is more economical than the use of structural shapes.
To eliminate the necessity of additional reinforcement by using thicker plate forthe cylinders at the junction in some cases maybe more advantageous than theapplication of compression rings.
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1
RT J C C
U E P
D,
t-l
Reinforcement shall be provided at the junction of cone
$
to cylinder, or at the junction o t l e o csection to cylinder when cone, or conical section doesn’thave knuckles and the value of A, obtained from table E,
3
L. is less than ct.
rI TABLE E - VALUES OF A
P/SE o 0.002 0.005 0.010 0.02 0.04 0.08 0.10A,deg. o 5 7 10 15 21 29 33
w -
;L P/SE 0.125 0.15 0.20 0.25 0.30 0.35A,deg, 37 40 47 52 57 60
T ‘
CX= 0e g .o rr e a t e ra l u e s f/ S EI N o t e :n t e r p o l a t i o na y ea d eon t e r m e d i aa l
The required moment of inertia and cross-sectional areaI
of reinforcing (stiffening) ring — when the half apexangle a is equal to or less than 60 degrees — shall be
FIG.F determined by the following formulas and procedure.
1. Determine P/SE, and read the value of A from table E.
2. Determine the equivalent area of cylinder, cone and stiffening ring, ATI,,sq. in. $3:: pa~~ 46 for construction of stiffening ring)
A~lJ= ~ + ; + A., ( ,)3 FIDI.
Calculate factor B B = ~ ~
where
F[.= PM+ J tan aM = -RLtan a + L[ + R{?-R.?
2 2 3RI,tan a3. From the applicable chart (pages 43 thru 47) read the value of A entering at
the value of B, moving to the left to the material/temperature line and fromthe intersecting point moving vertically to the bottom of the chart.
For values of 1?falling below the left end of the material/temperature linefor the design temperature, the value of A=2WE.
Ifthe value ofB is falling above the material/temperature line for the design
temperature: the cone or cylinder configuration shall,bechanged, and/or thestiffening ring relocated, the axial compression stress reduced.
4. Compute the value of the required moment of inertia
For the stiffening ring only: For the ring-shell-cone section:AD[.2A1[. ADI,ZA71,
Is = ~400 I’,Y=10.9
5. Select the type of stiffening ring and determine the available moment ofinertia (see page 87) of the ring only 1,or the shell-cone or the ring-shell-cone section 1’.
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164
RT J C C
(continue~
If 1 or 1’ is less than I, or 1[, respectively, select stiffening ring with large
moment of inertia.6. Determine the required cross-sectional area of reinforcement, A,~,sq. in
(when compression governs):
A,~ = @fi;;an~ [,@&):]
NOTE:Whenatthejunctionthe compressiveloadsdeterminedbyPR~2 orPRJ2 aexceeded by~l or~Jtensional loads respectively, the design shall be in accordancwith U-2 (g) (“as safe as those provided by the Code Section VIII, Division 1.“
Area of excess metal available for reinforcement: A,~ sq. in.:
A.~ = 0.55 ~D~t, (t, + t. /COS@
The distance from the junction within which the additional reinforcemenshall be situated, in.
a
The distance from the junction within which the centroid of the reinforcement shall be situated, in.
0.25~
.~
R, Reinforcing shall be provided at the iunction o
~ = =
small end of conical section without flare to cylinder.
L~The required moment of inertia and cross-sectiona
I
area of reinforcing (stiffening) ring shall be deteLL mined by the following formulas and procedure.
1. Determine theequivalentareaofcylinder,cone
“ I
and stiffening ring, Am
L,
L, L,t, Let,An= ~+ ~+A,
2. Calculate factor 1?t
L A
B . ; ( :~’)
I R1 where
Fs =PN +jjtan a
RL2- R~2
FIG. G N = ~ + Z+ 6R. tan a
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165
RT J C C
(continued)
3. F t a p( t r a
v o B m t t l t t m aa f ti nm v t t b o t c
F v o fl e n df td t ev o = 2
I t v of B is falling above the materialhemperature line for the designtemperature: the cone or cylinder configuration shall be changed, and/or thestiffening ring relocated, the axial compression stress reduced.
4. Compute the value of the required moment of inertia:
For the ring-shell-conesection: For the st~~e~~~ ring only:
~; =AD,2ATS
10.9 ~.= 1:.0
5. Selectthe type ofstiffeningring anddeterminethe available moment of inertia(see page 89) of the ring only, land of the ring-shell-cone section,I Iflorl’ isIessthanl..orli respectively,selectstiffeningringwith largermomentofinertia.
6. Determine the required cross-sectionalarea ofreinforcement. A,,, sq. in:
A~s= kQSR~tan~SE
metal availablefor reinforcement Ac,sq. i n
A.s = 0.55% [(t,-~ + (tc-tr)/cosx]
Thedistancefromthejunction withinwhichtheadditional reinforcement shallbe situated, in.-
G
The distance fromthejunction withinwhich the centroidof the reinforcementshall be situated, in.
025 G
NOTE:Whenthereducersmadeoutoftwoormoreconicalsectionsofdifferentapexangleswithoutknuckle,andwhenthehalfapexangleisgreaterthan60degrees,thedesignmaybebasedon specialanalysis.(Code1-8(d)and (e).)
NOTATION
A, = area of excess m e t a lv a i l a b l eo r. = cross-sectional area of the stiffen-reinforcement, sq. in. ing ring, sq. in.
A,,L = requiredareaofreinforcementwhen AT = equivalent area of cylinder, cone
QLis in compression, sq. in. and stiffeningring, sq. in.
At.’ = requiredareaofretiorcementwhen B = factor
QLis sq. in. D~ = outside diameter of cone or largeend of conical section, in.
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66
RT J C C
(continued)
D,,
D.,
E
E
k
A
fi
I
T
IS
I,’
L
L,
LL
.
—
—
—
—
.
—
=
—
.
=
.
.
.
outsidediameterofcylindricalshell,
in.outside diameter at small end ofconicalsection, in.
lowest efllciency of the 1ongitudi-naljoint intheshell,heador cone;E= 1 for buttwelds in compression.
withsubscriptsc, r ors modulusofelasticityof cone,reinforcementorshellmaterial respectively,psi.
S&L5’RERbut not lessthan 1.0.
axial loadat large end due to windetc., Ib./in.The value offi shall betakenaspositiveinallcalculations.
axial loadat smallend dueto wind,etc. lb./in. The value of~2shall betakenaspositiveinallcalculations.
availablemoment of inertia of thestiffeningring, in4
availablemomentofinertiaofcom-bined ring-shell cross-section, in4.
Thewidthoftheshellwhichistakenas contributing to the moment ofinertiaof the combinedsection:
1.IO~D,,t
required moment of inertia of thestiffeningring, in4.
r e q u i r e do m e n t fn e r t i atc o m b i n e di n g - s h e l l - c o n er o s s -
s e c t i o n ,n 4 .
a x i a le n g t h fo n e ,n .
I e n g t h o f c o n el o n gu r f a c ef c o n e ,o ri s t a n c ee t w e e nt i f f e n i n gi n g s
o fo n e ,n .
d e s i g ne n g t h fv e s s e le c t i o n ,
in~or stifle-nedvessel section: thedistancebetweenthe cone-to-largeshelljunction andanadjacentstiff-ening ringon the largeshell.
for umtl@enedvessel section: thedistancebetweenthecone-to-large-
L,
P
Q~
RL
R,
s
sR
s.
t
t.
t,
t,
a
A —
shelljunctionandone-thirdthede
ofhead o theotherendofthelarshell.
designlengthofavessel section,forstl~enedvesse[section: distanbetween the cone-to-small-shejunction and an adjacent stiffeniring on the small shell.
f onstlflenedvessel section: dtance betweenthe cone-to-smshelljunctionandnethirdthedepofheadontheotherendofthesm
shell.
external designpressure, psi.PRL PRs— +fi Q,= ~ +fz2
axialcompressiveforceduetopresure and axial load.
outsideradius of largecylinder,
outsideradius of smallcylinder,
allowable working stress, psi.conematerial.
allowablestressof reinforcing mterial, psi.
allowable stress of shell materipsi.
minimumrequiredthicknessofcyi n d ei t h ol l o
c o r o s i o nn
a c t u ah i c k nc
c o r r o s i ol l o w a
m i n i m ue q u i r e d t h i
w i t h o uo r r o sl l o
a c t u ah i c k ns h
a l l o w a n coo r r o s
h a lp en g le
valueto indicateneed forreinforcment, from table E,deg.
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167
RT J C C
E
Tt, DESIGN DATA
DL = 96 in.,o d o l c
Ds = 48
~ =
E,, Ec,E m o e o sc a r m p
afl = 100 lb./in., axial load due to wind
A = 30 lb./in., axial load due to wind.
LL = 120 in., design length of large vesselsection.
L, = 244 in., design length of small vesselsection.
Lc = 48 in.
~ = 15psi, external design pressureF
LL “
= 48.00 in. outside radius oflarge cylinder
R = 24.00 in. outside rad;us ofsmall cylinder
Designtemperature=6500F SS = 13,800psi. maximum allowableworkingstress of shell and cone material.
SR = 12,700 psi. maximum allowable working stress of reinforcement mate-
rial.
t = 0.25
t = 0.1875 in. minimum required thickness of small cylinder.
t. = 0.25 in. actual thickness of cone.
t, = 0.25 in. minimum required thickness of cone.
t. = 0 i a t o c
JUNCTION AT THE LARGE END
1. P/SE= 15/13,800= 0.0016; from table E A= 4
since A is less than U, reinforcement is required.2. Assuming As=O,A~~= h/.2+LJd%A. =
= 120X0.125+48 X0.125+ O=21 in2.RLtan a +LL RL2&2
~.— ~ — 48X 0.5774+ ~0+ 482–242
2 +3RLtana=— 2 2 3 x48X 0.5774=66.9
FL=Pk?+fi tana = 15 x 66.9+ 100’x 0.5774 = 1061
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168
RT J CONE TO CYLINDER
EXAMPLE (continue~
~ = :(~L) = 0.75 x 1061 X96/21 = 3636
TL
3. A = 0.0003 from chart page 43
4. Required moment ofinertiaofthe combined ring-shell-cone cross section
ADLATL 0.00035 x 962x 21
‘L= 10.9 = 10.9= 5.32
5. Using two 2% x $4flat bars as shown, and the effective width of the shel
1.10 x ~= 1.1 ~96 x .025 = 5.389 in.,
The available moment of inertia: 5.365 in. (see page 96)
It is larger than the required moment of inertia. The stiffening is satisfactory.
6. T r c ro r
S,E, = 13,800 X 3 0 X06= ~09k= ~-
12,700 X 3 0 X06 “
~L= ~ ‘fi ’15 j48+ 100 ’460
kQ~RLtan aA,L= SE I
s L
1.09X460X48X 0.5774 15x48 -460 4=13,800X0.7 ~-025( 460 )33]= 1.412 in?
The cross-sectional area of the stiffening ring is 2.5 in2.It is larger than tharea required.
The reinforcing shall be situated within a distance from the junction:
m,, = 448x 0.25= 3.46 in.
The centroid of the ring shall be within a distance from the junction:
0.25 ~ = 0.25~48 x 0.25 = 0.86 in.
JUNCTION AT THE SMALL END
1. The conical section having no flare, reinforcement shall be provided.
2. Asuming A,,= O,ATS= LJJ2 +L~tJ2 +A.,
A,.,=L.,tl2 + L&J 2 +A.,= 244 x 0.25/2 + 48 x 0.25/2 + O= 36.5 i
~ = R 8 t ~ n ~ + +; ; :a ; ; =4 x“ 5 7 7 4+ 4X 4 :2149.7in
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169
R I
T J C CE (continue~
F,= PN +fJ t a = 1 X 149.7+30X 0.5774= 2263
3 F$.DSB ‘? x
= 3/4~22;; :48) = 2232
3. Since value of B falls below the left end of material/temperature line:
A= 2 B/E = 2 X2232/30X 106= ().()()()14
4. Required moment ofinertiaofthe combined ring-shell-cone cross section:
1’,,=AD.?An = 0.00014X 482X 36.5 = ~08 in ~
10.9 10.95. Using 2% x % flat bar, and the effective shell width:
1.1448 x 0.25 = 3.81 in.
The available moment of inertia 1.67 in.4(see page 96)
It is larger than the required moment of inertia; the stiffening is satisfactory.
6. The required area of reinforcing:
k = 1.09 15X24 + 30 = 21Olb./in.,= ~ +j= z
kQ,~. tan a =A,., =-
1.09X210X24X 0 . 5 T T 40 3 2n z
13,800X 0.7
Area of excess metal available for reinforcement:
A. =~~a (tc - t,)+~, (t.,Z)
== (0.25 - 0.25) + d24 x 0.25 (0.25 - 0.1875)= 0.153 i.
Ar,,-A, = 0.328-0.153 = 0.175 in.2
T a of ring used for stiffening 1.25 in.2. It is Iargerthan the required
area for reinforcement.
The reinforcing shall be situated within a distance from the junction:
G,=d24 x 0.25 = 2.44 i n .
and the centroid of the ring shall be within a distance from the junction:
0.25 ~R,,t,,= 0.25424 x o . z sO . b ln .
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170
WELDINGO P R
There are several methods to make welded joints. In a particular case the choice.of
1.
2.
3.
a type from the numerous alternatives depend on:
1. The circumstances of welding2. The requirements of the Code3. The aspect of economy
THE CIRCUMSTANCESOF WELDING.
In many cases the accessibility of the joint determines the type of welding. Ina small diameter vessel (under 18 - 24 inches) from the inside, no manualwelding can be applied. Using backing strip it must remain in place. In largerdiameter vessels if a manway is not used, the last (closing) joint can be weldedfrom outside only. The type of welding may be determined also by theequipment of the manufacturer.
CODE REQUIREMENTS.
Regarding the type of joint the Code establishes requirements based on service,material and location of the welding. The welding processes that may be usedin the constructionof vesselsare also restricted by the Code as describedinparagraphUW-27.
The Code-regulations are tabulated on the followin~DaEesunder the titles:a.
b.
c.
Types o fe l d e do i n t s-. -
( J o i n t sermitted by the Code, their efficiency and limitations of theirapplications.) TableUW-12
D e s i g n fe l d e do i n t s
( o J t b u f v i v s a u ctain design conditions.) UW-2, UW-3
E x a m i n a t i o n fe l d e do i n t sThe efficiency of joints depends only on the type of joint and on the degree ofexamination and does not depend on the degree of examination of any other
joint. (Except as required by UW-ll(a)(5)This rule of the 1989 edition of the Code eliminates the concept of collectivequalification of butt joints, the requirement of stress reduction.
THE ECONOMYOF WELDING,
If the two preceding factors allow free choice, then the aspect of economymust be the deciding factor.
Some considerations concerning the economy of weldings:
V-edge preparation, which can be made by torch cutting, is always more ec~nornical than the use of J or U preparation.
[
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171
DoubleVV
a
Lower quality weldingmakesnecessarythe use of thicker plate for the vessel.
Whether using stronger welding and thinner plate or the opposite is moreeconomical,depends on the sizeof vessel,weldingequipment,etc. Thismustbe decidedin eachparticularcase.
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172
T W J
TYPESCODEUW-12
cj
3
5
;
w e l de t a l nt h en s i d en du t s i d e
w e l du r f a c e .
B a c k i n gt r i p fs e ds h a l l ee m o v e df t e rc o m p l e t i o n fe l d .
S i n g l e - w e l d e du t to i n tw i t ha c k i n gt r i pw h i c he m a i n s n
p l a c ef t e re l d i n g
S i n g l e - w e l d e du t to i n tw i t h o u ts e fa c k i n g
s t r i p
D o u b l e - f u l lf i l l e ta po i n t
S i n g l e - f u l li l l e t
l a po i n tw i t hl u ge l d s
S i n g l eu l ; i ~ l $ ; ~a po i n t
p l u ge l d s
JOINTEFFICIENCY,E
-
F u ;R a d i og r a p h e
1.00
bs p
E x a m i
0 .
0 .
—
—
cN
E x
0
0
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173
T W J
L I M I T A T I O N S
I NP P L Y I N GA R I O U S NOTESWELDTYPES
FORTYPE1:N O N EJ o i n ta t e g o r y : ,, C , D
F O RY P E :O N EJ o i n ta t e g o r y :, 1 3 , C , D
. nh i sa b lrh o y
E x c e p tu t te l di t hn el a t ef f - s e to fe l d e do i nh i
— f o ri r c u m f e r e n t i a lo i n t sn l y .m i t t e dho daw e l d i n gr o c e s s e
F O RY P E :J o i n ta t e g o r y :, B , C
2 .h eh a pt hd b
C i r c u m f e r e n t i a lo i n t sn l y ,o tv e rj o i n e du t t - w ehsa s oe r m io m p lu s
5 1 8n .h i c kn do tv e r 4n .u t s i d ee n e t r a t i o n .d i a m e t e r .
F O RY P E :.u t to i n th af r
( a )o n g i t u d i n a lo i n t so tv e r1 8n .u n d e r c u t s ,v e r l abr i d g e sna l l e ya s s
t h i c ko i n ta t e g o r y :t h ee l d - g r o o v ero m p( b )i r c u m f e r e n t i a lo i n t so tv e r/ 8i l l e d ,e le t ab u
i n .h i c k .o i n ta t e g o r y :. C se i n f o r c e m e n t hh i co fhe i n f o r c e m eh
F O RY P Ee x c e e dho l l o w ih i c k n
( a )ircumferential joints f o rt t a c h -P l a t eh i c k n e s sna x i mement of heads n o tv e r 4n .u t s i d e p on c l/d i a m e t e r oh e l l so tv e r/ 2n .h i c k .v e rY zi n c l
J o i n t st t a c h i n ge m i s p h e r i c a le a d s ov e r3 /s h e l l sr ex c l u d e d .
J o i n t w e l d i nhe c( b )i r c u m f e r e n t i a lo i n l so rh ed o u b l ee l duo
a t t a c h m e n t oh e l l s fa c k e t so tv e rm p u r i t i e st hi ri e
5 / 8n . no m i n a lh i c k n e s sh e r eh e n gh a lr e m oc h
p l u gi n g ,r i n d i nm e l t
w e l d oh ed g e fh el a t e so te s se c u r eo u ne to m
t h a n- 1 1 2i m e sh ei a m e t e r fh ee n e t r a t i o nnu s i
h o l eo rh el u g .m e r g e dre l d i nh i pa g r o o v ehr ar e
J o i n ta t e g o r y : C m e n d e d .
F O RY P E
( a )o rh et t a c h m e n t fe a d so n v e x.h ea x i m ul l o w o
t or e s s u r e oh e l l so tv e r/ 8n .f f i c i e n c i e si vt h a
r e q u i r e dh i c k n e s s .n l yi t hs e fr es ef o r m u
f i l l e te l d nn s i d e fh e l l :t h eo i n tade by arc or gasweldingprocesses.
JointCategory:A , B
( b )o rt t a c h m e n t fe a d sa v i n gp r e s s u r e ni [ h e ri d e . oh e l l so t .o i n tf f i c i e n c y= I f uo
o v e r 4n .n s i d ei a m e t e rn do tv e r no m p r e s s i o n .
1 1 4e q u i r e dh i c k n e s si t hi l l e te l do nu t s i d e fe a dl a n g en l y .
J o i n ta t e g o r y :. B
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1 7 4. .
D W J
WELDED JOINT LOCATIONS
T oh eo i n t sn d e re r t a i no n d i t i o np e c i a le q u i r e m e n t sp p lh t
s a m eo ro i n t se s i g n a t e d yd e n t i c a Ie t t e r s .T h e s ep e c i a le q u i r e m e n t s ,h i c hr ea s e d ne r v i c ea t e r ih i c
o t h e re s i g no n d i t i o n s ,r ea b u l a t e de l o w .
D E S I G NO I N TY P EA D I O G R A P H I CO I N
C O N D I T I O N N DA T E G O R YX A M I N A T I O NF F I C I E NT R E
1 .h ee s i g n sl la t e g o r ya n db u t tu l lb a s e d no i n te l d s ne s s e le c t i o n se f f i c i e n c y. 0n de a d so r. 9( S e ee s i g n
l la t e g o r yo rb u t ts p o ty p1y 2w e l d sb u to tn c l u d i n g.0 0.9
c o n d i t i o n sl i s t e de l o w
h o s e no z z l e s r P
c o m m u n i c a t i n gh a m b e r s ) U Cw h e nu l lw h i c hn t e r s e c t sh er a d i o g r a p h yc a t e g o r yw e l d s ne s s e li ss e c t i o n s re a d s ro n em a n d a t o r y .c o n n e c te a m l e s se s s e l . 8.Uw-11
U W -2 ( d )e c t i o n s re a d s
C a t e g o r ya n db u t tointsBandC buttweldsin r e
w e l d s ne s s e le c t i o n sc e r fc n e
a n de a d sh a l l e fy p ei p
1 in
(1) or T y p e2 )e t
wall thickness do not require UHT-57
2 .u l ly p e1 ) ry p e2 )u t tp o ty p1y 2r a d i o g r a p h i ce l d e do i n t s 0 . 8. Ce x a m i n a t i o ni so tm a n d a t o r yU W - 1( b )
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175
IDESIGN OF WELDED JOINTS (CONT.)
D E S I G NC O N D I T I O N
F u l lr a d i o g r a p h i ce x a m i n a t i o ni so tm a n d a t o r y .T h ee s s e l sd e s i g n e do re x t e r n a lp r e s s u r en l yUw-1 l ( c )
, .e s s e l so n -t a i n i n ge t h a ls u b s t a n c e sU W - 2 ( a )
]intsBandCbuttn
o cn
x1
t
c ro ex re s
pn
r U
$ .e s s e l sp e r -a t e de l o w– 2 0 ” F ri m p a c te s t sr e q u i r e do rt h ea t e r i a lo re l de t a lU W - 2 ( b )
6 .n f i r e dtean
boilers with
d e s i g nr e s -s u r ex c e e d -i n g 0s i
S e eo t eb o v ei nh i so l u m na te s i g nc o n d i t i o n :
J O I N TY P EA N DA T E G O R Y
my T y p e fe l d e do i n t s
o i n t ss h a l l e~ p eo .1 )J W - 2 ( a )1 )a )
o i n t sa n ds h a l l er y p eo .1 ) rN o .2 )
J W - 2 ( a )1 )b )
J o i n t ss h a l l eu l lp e n e t r a t i o ne l d se x t e n d i n gh r o u g hh ee n t i r eh i c k n e s s fh ev e s s e l ro z z l ea l lU W - 2 ( a )1 )d ) .
J o i n t s fa t e g o r yf o rt h ea b r i c a t e da po i n ts t u bn d sW - 2 ( a ) ( l ) ( c )
J o i n t ss h a l l ey p e o( 1 )e x c e p to ru s t e n i f i cc h r o m i u mi c k e lt a i n l e s ss t e e l ) .l o i n t ss h a l l ey p eo .
( 2 )U W - 2 ( b )1 )n d2 )
J o i n t sf u l le n e t r a t i o nwelds extending through
the entire section of the
joint
J o i n t sf u l le n e t r a t i o n
w e l d sx t e n d i n gh r o u g ht h en t i r ee c t i o n th ej o i n tW - 2 ( b )2 )n d3 )
J o i n t ss h a l l ey p eo .( 1 )
J o i n t ss h a l l ey p eo .( 1 ) ro .2 )U W - 2 ( C )
R A D I O G R A P H I CE X A M I N A T I O N
ione
F u l l
i l lu t te l d e dD i n t s nh e l l, n de a d sh a l l} eu l l ya d i -} g r a p h e dx c e p t: x c h a n g e ru b e sm dx c h a n g e r sJ W - 2 ( a )2 )n d3 )n de r
J W - 1( a )4 )
F i s hspotNo
A l lu t te l d e dj o i n t s nh e l la n de a d sh a l lb eu l l ya d i -o g r a p h e rx c e p tu n d e rh er o v i -s i o n s fU W - I( a )4 )
J O I NE F F I C I E N C
r y p1r y p2.r y p3.r y p4.T y p5.T ’ y p6.
I.
1 .y p10 . 2
T y p1ype 2
.
1 .
1 .y p1~ 0 .y p2
P OH
T R E A
PU C
/ e sa tcj lh apv eJ W -
P CUCS-56
V e sc aco ls hp
eU W -
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176
DESIGN OF WELDED JOINTS (CONT.)
D E S I G NC O N D I T I O N
7 .r e s s u r ee s -s e l su b j e c t od i r e c ti r i n g
8 .l e c t r o s l a gw e l d i n g
9 .i n a ll o s u r eo fe s s e l s
1 0 .e a m l e s sv e s s e ls e c t i o n s rh e a d sU W - 1( a )( 5 )b )U W - 1 2 ( d )
1 1 .o i n t sc o m p l e t e db yr e s s u r eu w - 1 2 ( f )
J O I N TY P EA N DA T E G O R Y
l o i n t ss h a l l ey p eo .: 1 )
J o i n t ss h a l l ey p eo .[1) o ro .2 )h e nh et h i c k n e s sx c e e d s/ 8n .
N oe l d e do i n t s fy p e( 3 )r ee r m i t t e do ri t h e rA o rj o i n t s nn yt h i c k n e s sU W - 2 ( d )
A l lu te l d sW - I( a )( 6 )
A n ye l d sU W - 1( a )7 )
J o i n t so n n e c t i n ge s s e ls e c t i o n sn de a d s
A n ye l d s
R A D I O G R A P H I CE X A M I N A T I O N
F u l ls p o tN o
F u l l
F u l l
U l t r a s o n i cx a m -i n a t i o nh e nh ec o n s t r u c t i o nd o e so te r m i tr a d i o g r a p h s
s p o t
N o n eo rh e no rw e l d sr ey p e4 , ,
J O I NE F F I C I E N
T y p1y 2I. .D . 8.0 . 7.
1 .y p10 .y p2
1 .y p10 .y p2
0 . 8
N or e a th, 8
P OH
T R E
w ht
l ewo ic; t P: x cim a tn e la l t, o~ pI er en a n
P CU C
P CU C
P CU C
E F F I C I E N C YE ) O ES E D NA L C U L A T I O N S
O FE A M L E S SE A DH I C K N E S SS Mode UW-12(d)
TYPE OF
HEAD
T Y P EFJOINT
H e m io l1 . 0 0.
s p h e r i c a l 0 20 . 9 0.
O t h e r s N Y . 0
* F o ra l c u l a t i o nn v o l v i n gc i r c u m f e r e n t i a lt r e s s ra @ rt h i c k n e s s fe a m l e s se a d
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177
EXAMINATION OF WELDED JOINTS
RADIOGRAPHICEXAMINATION
FuUradiographys mandatoryof joints: (Code UW-11)
1. All butt weldsin shells, heads,nozzles,communicatinghambersofunjired
2 .
3 .
4 ,
steamboikrs havinglethalsubstances.All
1 1
Exemption: B and C butt welds in nozzlesand communicatingchambersthat neither exceed 10in pipe sizenor 1 1/8in.wallthicknessdo notrequire radiographicexaminationin anyof the abovecases.
All categoryA and D butt weldsin vesselsectionsand heads where the designof the joint or part isbased on joint efficiency 1.0,or 0.9.(see precedingpages:DesignofWeldingJoints).Allbutt weldsjoined byelectroslagweldingand allelectrogasweldingwithany
greaterthan 1
radiography,as a minimum,smandatoryof
1 .
2 .
BorCweldswhichintersectthe CategoryA buttweldsinvesselsections(includingnozzlesand communicatinghambersabove10in.pipesizeand1in.wallthickness)ormmect seamlessvesselsectionsor headswhenthedesignofCatego~A andDbuttweldsinvesselsectionsandheadsbasedon
ajointefficiencyof 1.0or0.9.S p o tadiographysoptionalofbuttweldedjoints(~ 1 2 h i cr
required to ~ filly ~diographed. If spot radiographyspeciiled for the entirevessel, radiographicexaminationis not required ofCategoV B and C buttweldsin nozzlesand communicatingchambers.
NoRadiography.No radiographicexaminationofweldedjoints is required whenthe vesselor vesselpart isdesigned for external pressure only,orwhen thedesignof joints based on no radiographicexamination.
ULTRASONICEXAMINATION
2 .
3 .
I ne r r i t i ca t e r i a l sl e c t r o s l a ge l d sn dl e c t r o g a se l d si tni n g
p a s sr e a t e rh a n1 / 2n .h a l l el t r a s o n i c a l l yx a m i n e dh r o u g h oh ee n t i r ee n g t h .
I nd d i t i o n oh ee q u i r e m e n t s fa d i o g r a p h i cx a m i n a t i o n ,le late l e c t r o ne a mr o c e s s r yh en e r t i an do n t i n u o u sr i vr i c t iw e l d i n gr o c e s sh a l l el t r a s o n i c a l l yx a m i n e do rh e i rn t i re n g t
U l t r a s o n i cx a m i n a t i o na y eu b s t i t u t e do ra d i o g r a p h yo hi nl o ss e a m fh eo n s t r u c t i o n fh ee s s e lo e so te r m i tn t e r p r e t a b l ea d i o g r
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178
B W J
P C L U T
B EA P E R E D FH EI F F E R E N C E NH I C K N E SM O
I N . RN E - F O U R T H FH EH I N N E RL A T E .O D EW - 9 ( C )W - 1
T H EE N G T H FH EA P E R E DR A N S I T I O NH A L LI N I MT IO F F S E TE T W E E NH ED J A C E N TU R F A C E S .H EE LAp AE N T I R E L Y NH EA P E R E DE C T I O N RD J A C E N TT
&
x 2 3
1
&
L &3
T a p e ri t ~ e { v $ j ~o u t
r e g e n ti n e
‘ s L @ & y
$
‘ ~ % ’Y
Y %
a n g e n t ~- ~ H E A DS H E
Y ;A ~ A C H M E
1 $“ ~
~ ~ 3 Z z l / 2 ( t. -S - —W h e n h~ c e e d ~,., hi n i me ns t
z f l a n g e st h ,ue eox c -ew h e ne c e s s a r yr o v ie q u ie tW h e n k sq u ae sh. 2 en g e n t L i n ei - / f ls t r a i g h tl a n g eh a ls u f f i c ie
@ e :
t a p e r .h eh e l ll a te n t e r lo e i
7o fh ee a dl a te n t e r l i n
— — -th
H E A DS H E LA T T A C H M E
z ~ l / 2 ( t
T h eh e ll a te n t e rb ei t h ei dt e
p l a te n t e r l i
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1
APPLICATIONOF WELDINGSYMBOLS
WELD SYMBOL MEANINGOF SYMBOL
n
m +rt
v P
m =
v
Km
6
& & w
8
~ ‘
~
&
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APPLICATIONOF WELDINGSYMBOLS
WELD SYMBOL MEANINGOF SYMB
b G ‘i’’’g%N:i;E’”E
~, ~q g~g2g9D
L d
SYMBOLNDICATES
D
m
*
P
SYMBOL INDICATES 1/4 IINTERMITTENT FILLET WE
E
EACH 2
8 -
P
s
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181
C R RELATED To VARIOUS SERVICES
Service Brief extracts of Code requirementsCode
paragraph
i i rl lr e s s u r ee s s e l so rs ei t ho m p r e s s e di rx c e pU -
p e r m i t t e dt h e r w i s e nh i sa r a g r a p hh a l lr o v i d e
w i t hu i t a b l en s p e c t i o np e n i n g .
V e s s e l si t hr e q u i r e di n i m u mh i c k n e s se sh aU
i n c hh a tr e o es e d no m p r e s s e di re r v i c eh a l
p r o v i d e di t ho r r o s i o nl l o w a n c eo te s sh a/
t h ea l c u l a t e dl a t eh i c k n e s s .i n .h i c k n e s s1 3n1 6
~ l a m m a b l ex p a n d e do n n e c t i o n sh a l lo t es e d .-m d ro x -
o u sa s e sm di q u i d s
L e t h a lu t te l d e do i n t s ne s s e l s oo n t a i ne t h a lu b s t a n c e- (
s u b s t a n c e sh a l l eu l l ya d i o g r a p h e d .W h e na b r i c a t e d fa r b o n ro wl l o yt e e lh a lp o s- (
w e l de a tr e a t e d .
T h eo i n t s fa r i o u sa t e g o r i e sh a l lo n f o r ma r a g r a
Uw -2.S t e e ll a t e so n f o r m i n g op e c i f i c a t i o n sA - 3 6 ,A - 2 8( (s h a l lo t es e d .
V e s s e l si t hr e q u i r e di n i m u mh i c k n e s se sh aucs -25S t e a mi n c h
i n .
i n .h e l l sh ~ d s J G
V e s s e l si t hr e q u i r e di n i m u mh i c k n e s se sh aucs -25W a t e r2 )n c hh a tr e o es e d na t e re r v i c eh a l lr o v i d
w i t hc o r r o s i o nl l o w a n c e fo te s sh a n/ ha
c u l a t e dl a t eh i c k n e s s .
M i n .h i c k n e s s/ 3 2n .h e l l sh e a d s G(
N O T E S :1 .n f i r e dt e a mo i l e r sa yl s o eo n s t r u c t e dc c o r d a n
w i t hh e2 .e s s e l s na t e re w i c ex c l u d e dr o mh eu r i s d i c t i o nt h
c o d er ei s t e d n
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1 Q?1
C R RV W T V
?T h i c k -
1 < 6A 24 6n e s s ,n . x 5 4 67
2 , , 5 , , 5 , , , , , , , , , , ,4,6,8,9 ‘ 7 8 9 18 9 1a p p l i c a b l eN o t e s , , , , , , , , , , , 1 , ,1 ,1 ,2 ,1 2
1 1 ,2 , 41 ,2 , 42 ,4 , 52 , 4 5 21 1 1
v a i lh i c k -9 ~ 6 A1 4 6 A3 4 61 5n e s s ,n . 1
a p p l i c a b l e ,0 ,1 , ,0 ,1 , ,0 ,3 , ,0 ,3 , ,0 ,3 0 31 1 1N o t e s2 ,4 , 52 ,4 , 56 , 06 , 06 , 061 61 2
i a l lh i c k -1 1 < 61 A3 < 6 %5 X 63 7m s s ,n . &o
—
7 ,3 ,6 ,,3 ,6 , ,3 ,6 3 61 1 1
\ p p l i c a b l e ,3 ,6 , ,3 ,6 ,1 7 ,0 ,9 ,7 ,8 ,78 ,1 1 1N o t e s7 , 07 , 07 , 02 29 ,0 ,9 01 2 2
N o t e s
( B r i e fx t r a c t s fo d ee q u i r e m e n t s )
1 .h ei n i m u mh i c k n e s s fl a t eo re l d e do n s t r u c t i o nh an oG
l e s sh a n/ 1 6 .
T h ei n i m u mh i c k n e s s fh e l l sn de a d ss e do m p r e s s
s e r v i c e ,t e a me r v i c en da t e re r v i c eh a l l e/ 3 2n G -
2 .a n u f a c t u r e r s ’a r k i n gh a l l et h e rh a ne e pit a m p i nG
3 . no m p r e s s e di r ,t e a mn da t e re r v i c eo r r o s i o nl l o w a nC
l e s sh a n/ 6 fh ea l c u l a t e dl a t eh i c k n e s sh a l lr o v i d e
4 .i n g l e ,e l d e dp e n i n g s p oi n .i p ei z eoe q uC(
r e i n f o r c e m e n t .
5 .h ei n i m u mh i c k n e s s fh e l l sn de a d s fn f i r e dt e ao i lGs h a l lo t ee s sh a n %n .
6 .o u b l eu l li l l e ta po i n to ro n g i t u d i n a le l d e do i n tc c e p t aT a
7 .i n g l e ,e l d e dp e n i n g s p oi n .i p ei z e oo te q u i re i n f oU G(
f o r c e m e n t .
8 .i n g l eu l li l l e ta po i n ti t hl u ge l do rt t a c h m e n th e at T a
o v e r 4n .u t s i d ei a m e t e r oh e l l s ,c c e p t a b l e .
9 .a x i m u mh i c k n e s s fe i n f o r c e m e n to ru t te l d/ 3n W
1 0 .a x i m u mh i c k n e s s fe i n f o r c e m e n to ru t te l d/ nW
1 1 .i n g l eu l li l l e ta po i n ti t hl u ge l d so ri r c u m f e r e n t i aoT a
a c c e p t a b l e .
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183
C O D EU L E SE L A T E D OA R I O U SA L LH I C K N E S S E SV E S
( C o n t i n u e d )
N o t e s( B r i e fx t r a c t s fo d ee q u i r e m e n t s )
1 2 .i n g l eu l li l l e ta po i n t si t h o u tl u ge l d sc c e p t a b l eot t a ca W
m e n t fe a d so n v e x or e s s u r e oh e l l s .
1 3 .e l d e do i n t s fr e s s u r ee s s e l su b j e c t oi r e c ti r i n ga t e g oW
B s h a l l ey p e1 ) r2 ) .o s te l de a tr e a t m e n te q u i r e d .2)
1 4 .i n g l ee l d e du t to i n ti t h o u ts e fa c k i n gt r i pc c e p t a b lo
P-1 shall be fully radio- UCS-57graphed.
19. Post weldheat treatment of P-1 materials ismandatory for all welded TableUCS-56connectionsand attachments.
20. Double welded butt joint or single welded butt joint with backing Tableuw-lz
strip shall be used for circumferential or longitudinal joints.
21. Pull radiographic examination of butt welded joints of P-1 Grade
1, 2, 3 materialsis mandatory.
22. Post weld heat treatment of P-1 materialsis not mandatorypro-vialedthat material is pre-heated. Note(2)(a)(b)
See page 179f o ro we m p e r a t u r ep e r a t i o n .
N O T E :
P o s te l de a tr e a t m e n t se i t h e re q u i r e do rr o h i b i t e doo i nb e t w e e nu s t e n i t i ct a i n l e s st e e l s fh e- N o .g r o u p .T a b u l a t ep a g e8 5 .
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1 8 4-
T A VC F A C L
Excerpt from the Departmentof LaborOccupationalSafetyandHealthStandards(OSHA),ChapterXVII, Part 1910.106,
(FederalRegister,July 1, 1985)
CLASSIFICATION REGULATION
ATMOSPHERICANKS Atmospherictanks shall be built in accordance with acceptable good standards o
Storagetank whichhasbeen design.
designedto operateat Atmospherictanks may be built in accord
pressuresfromatmospheric ancewith:
through0.5 psig. 1. Underwriters’Laboratories, Inc. Standards
2. American Petroleum Institute StandarNo. 12A, No. 650, No. 12B,No. 12D&No. 12F.
LOWPRESSURETANKS Low-Pressuretanks shallbe built in accordancewithacceptablestandardsof design.
Storagetank whichhas Low-Pressuretanks may be built in accordbeendesignedto operate ancewith
at pressuresabove0.5 psig. 1. American Petroleum Institute Standar
but not more than 15psig. No.620.
2. ASMECodefor PressureVessels,SectioVIII.
(These tanks are not within the jurisdictioof the ASMECodeSectionVIII (U-id) bumay be stamped with the Code U SymboU-lg)
P V P V s b b i aStora e tankorvessel
i?with the ASMECode for PressureVesse
which asbeendesignedto operateat pressures SectionVIII.
above15psig.
In addition to the regulationsof the abovementioned standards and code, thoccupationalsafetyand health standardscontainrulesconcerningtanksandvesseasfollows:
1. Definitionof combustibleand flammableliquids2. Materialof storagetanks3. Locationof tanks4. Ventingfor tanks5. Emergencyreliefventing6. Drainage7. Installationof tanks
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185
LOW TEMPERATURE OPERATION
I fm i n i m u me s i g ne t a le m p e r a t u r e -n dh i c k -n e s s - c o m b i n a t i o n fa r b o nn do wl l o yt e e l s s
b e l o wh eu r v e s nf G .C S - 6 6 ,m p a c te s t i n g sr e q u i r e d . N O T E . nh ea n d b o ohoo m
. m a t e r i a l sr ei s t e dot h e eSIIII
~A l la r b o nn dl l ot e ei s tt o l
I -I
‘‘ 4a g e sn do th o we l o
1 0 0 . _A - 5 1 5r 5 56 0- 2A&BI S A - 5 1 6r 6 57 n oo r m a l i
8 0I
6 0Y . ~ S A - 5 1 6 r6 n oo r m a lI / -
: 40I / {
I; 20 /{ A / -
I
I
I
j 4 i n .n dh ei n i m ue s iet e m p e r a t u r eo l d eh a2 0m
: I m p a c te s t i n gx p d r e de s t e da t e r i a lh a lu s eC S -: - 8 01
0.394 1 2 3 4 5N o m i n a lh i c k n e s s , m om p a c te se q u i r eoa t e r
S A - 1 9 3 Re m p e r a t u4a aF I G .C S - 6 6M P A C TE S TU R V E SA - 3 0 7 ra e m p e r a t u2a a
F o rt a t i o n a r ye s s e l sh eho i n ci ni g ,C S - 6 6 ,i e sh n hi
p r o v i d e su r t h e ra s iu sa t eii m p a c te s t i n g .G - 6 6 ( b )
R E D U C T I O NI N I M UM E T A LE M P E R A T U R E
E X A M P L E :> V 33 Z: g. 6 -
F O Rd e s i g ne m p e r a t u r er oIC S - 6
; W. A~ c a I fh ec t u a lt r e st e n s irn t
@ o.4-- ~ p r e s s u r en dt h eo a d1 2 @s
; S Jm a z i m u ml l o w a b l et r et h e m a t e n a l ip s i . ,h ea t i o :
1 ~ 0 0 0 / 1 5 , 0 0 00 .
~ ;0 ” 2 ” ’ a n dr o mhe d u c2
Z * T h ei n i m u me s i ge m p e r a t0 -< .( A p p l i c a b l eo i nf f i c i e n c ih ai n c
oT
w h i c h .h ee s s e l sy d r o s t a t i c a l l ye s ts a t i s t j Jl l fh eo l l o w i n g : .h ee s i g ne m p e r a t u r en oo wh1 .h eh i c k n e s s fa t e r i a li s t e d nu r v ed o e sn do ti g h e rh a5
n o tx e e e d1 2n . .h e r m a l ,e c h a n i c a lh o co a dc y c2 t h eh i c k n e s s fa t e r i a li s t e d nu n w sl o a d i n g so to n t r o l l i ne s ie q u i r
a n d1
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P MCARBON&LOWALLOYSTEEL*
Form Nominal SpecificationComposltlon Number Grade APPLICATION
cSA-283 c Structural uality. For pressurevess
aaybeuse withlimitationsseenote:
c SA-285 c Boilersfor stationaryserviceandothepressurevessels
C- Si SA-515 55 * Primarilyfor intermediateandhightemperatureservice
~ C-Si SA-515 60 *99—
2 C-Si SA-515 65 – “ –
C- Si SA-515 70 – “ –
C- Si SA-516 55 * For moderateandlowertemperatureservice
C-Si SA-516 60 * 99—
C - Mn - Si SA-516 65 * 99—
C-Mn-S i SA-516 70 * 99—
a&: C - Mn- Si SA-105 For hightemperatureserviceC“S~z C -S i SA-181 I For generalservice
‘uc1 C -Mn SA-350 LF1e C-Mn-S i LF2 For lowtemperatureservice
EC -Mn SA-53 B For generalservice
z C -Mn SA-106 B For hightemperatureservice
ICr-1/5Mo. SA-193 B7 * Forhi temperatureserviceM *G Bolt2 in. dam. or less.-3 SA-194 2H For hightemperatureservicenutm
SA-307 B* Machinebolt for generaluse
*Forowtemperatureperationeepage185
* Dataof the most frequen~yusedmaterialsfromASMECodeSectionII and~11”
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PROPERTIES OF MATERIAL(cont.)
Specification P Tensile Yield SeeForm Number Strength Point
NumberNotes
Grade 1,000 psi. 1,000 psi.
SA-283 c 1 55.0 30.0 1
SA-285 c 1 55.0 30.0 2,6
SA-515 55 1 55.0 30.0 3
SA-515 60 1 60.0 32.0 3’
wb SA-515 65 1 65.0 35.0 3e2 SA-515 70 1 70.0 38.0 3
SA-516 55 1 55.0 30.0 3,8
SA-516 60 1 60.0 32.0 3,8
SA-516 65 1 65.0 35.0 3,8
SA-516 70 1 70.0 38.0 3,8
a .- SA-I05 1 70.0 36.0 2,3
J zZQH<z~ SA-181 I 1 60.0 30.0 2,3~<_& u SA-350
LF11
60.0 30.0
LF2 70.0 36.0
—
~2W SA-53 B 1 60.0 35.0 2,3,4,7E%3Am SA-106 B 1 60.0 35.0 3
SA-193 B7 –DIAM> 2k’2n
u 125.0 105.0 and<4 in —zG SA-194 2H 55.0 – —
:SA-307 B 55.0 – 5
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188
PROPERTIES OF MATERIAL(continued)
NOTES:
1. SA-36andSA-283ABCDplatemaybeusedforpressurepartsinpressurevesselsprovidedall of the followingrequirementsaremet:
(1) The vessels arenotusedto contain lethal substances, either liquid orgaseous;
(2) Tmaterial isnotusedintheconstmctionofunfiredsteamboilers(seeCode U-1 (g) ~;
(3) Withtheexception of flanges, flatboltedcovers, andstiffeningringson which strength welding is applies does not exceed 5/8 in.
2. For service temperatures above 850°Fit is recommended that killed steelscontaining not less than O.IOOAesidual silicon be used. Killed steels whichhave been deoxidized with large amounts of aluminum and rimmed steelsmay have creep and stress-rupture properties in the temperature rangeabove 850°F, which are somewhat less than those on which the values inthe table are based.
3. Upon prolonged exposure to temperatures above 800°F, the carbide phaseof carbon steel maybe converted to graphite.
4. Only killed steel shall be used above 850°F.
5. Not permitted above 450° F, allowable stress value 7000 psi.
6. The material shall not be used in thicknesses above 2 in.
7. For welded pipe maximum allowable stress values are 15Y0less. Noincrease in these stress values shall be allowed for the performance ofradiography.
8. The stress values to be used for temperatures below -20°F when steels aremade to conform with supplement (5) SA-20 shall be those that are givenin the column for -20 to 650° F.
MODULI OF ELASTICITY FOR FERROUS MATERIALS
Material Millionp s i .oe m p e r a t uo70 200 300 400 500 600 700 800 900 1000 11
C a r b o nt e e l si t h <. 3 0 C k9 . 58 . 88 . 37 . 77 . 36 ,5 .4 2C a r b o nt e e l si t h >. 3 0 %9 . 38 . 68 .2 7 . 57 .2 6 ,5 .4 2H i g hl l o yt e e l s 87 72 7 . 06 . 55 . 85 .4 .4 3. -.
T h ea l u e s nh ex t e r n a lr e s s u r eh a r t sr en t e n d eox t e rr ec a l c u l a t i o n sn l y .
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1
PROPERTIES OF MATERIALS CARBON& LOWALLOY STEELMaximum AllowableStress Values in Tension 1000 psi.*
Specification For Metal Temperature Not Exceeding Deg.F.
Number G r a d e5 : 00 05 0o o900 950
c 13.8 - - - - - - - - - -
SA-285 c 13.8 13.3 12.1 10.2 8.4 6.5 - - - - -
SA-515 55 13.8 13.3 12.1 10.2 8.4 6.5 4.5 2.5 - - -
SA-515 60 15.0 14.4 13.0 10.8 8.7 6.5 4.5 2.5 - - -
SA-515 65 16.3 15.5 13.9 11.4 9.0 6.5 4.5 2.5 - - -
SA-515 70 17.5 16.6 14.8 12.0 9.3 6.5 4.5 2.5 - - -
SA-516 55 13.8 13.3 12.1 10.2 8.4 6.5 4.5 2.5 - - -
SA-516 60 15.0 14.4 13.0 10.8 8.7 6.5 4.5 2.5 - - -
SA-516 65 16.3 15.5 13.9 11.4 9.0 6.5 4.5 2.5 - “ -
SA-516 70 17.5 16.6 14.8 12.0 9.3 6.5 4.5 2.5 - - -
SA-105 17.5 16.6 14.8 12.0 9.3 6.5 4.5 2.5 - - -
SA-181 I 15.0 14.4 13.0 10.8 8.7 6.5 4.5 2.5 - - -
SA-350 LF1 15.0 1 4 . 43 . 00 . 8. 8.0 3.0 1.5LF2 ]7.5 lfj.b 14.&l12.(.) 7.8 5.() 3.0 .$ - - -
SA-53 B 15.0 14.4 13.0 10.8 8.7 6:5 - - - - -
SA-106 B 15.0 14.4 13.0 10.8 8.7 6.5 4.5 2.5 - - -SA-193 B7~2%’‘ 25.0 25.0 23.6 21.0 17.0 12.5 8.5 4.5 - - -
SA-194 2H - - - - - - - - - - -
SA-307 B
Seepage177forlowtemperatureope;ationo
* TheStressValuesin this tablemay be interpolatedto determinevaluesforintermediatetemperatures.
I
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190
PROPERTIES OF MATERIALSSTAINLESS STEEL
P -o.8 GroupNo.1.——
TABLE 1 TAklLE3
P r o d u c tp e c .o .r a d eo t e sr o d u cp er
Plate 304 2 3 . P l a tA - 216 2 3S m l s .b. SA-213 TP304 2 g Plate SA-240
00317 2 3
z 3 :mls. Tb. SA-213 TP304H — ~ SA-213 TP316 2
SA-312 TP304 2y +@ y:: ;’: ; ;? %: ;;: SA-213 TP316H —
SA.312 TP304H — & Smls. Pp. SA-312~ q ~ 33 Smls. pp. SA.312 TL~?l~\ :
~ “gg H:: ;;: W;: ‘p304 2P304H — ‘ =-~“Z
Smls. Pp. SA-312 317 2
z . . C a s t .p. SA-452 TP304H — 5 g“ Smls. Pp. SA-376 TP316 2
Q SE Forg. SA-182 F304 2 s “? Smls. Pp. SA-376 TP316H —
* Forg. SA-182 F304H —z ijg
Cast Pp. SA-452 TP316H —ag
Bar SA-479 304 235[
Forg. SA-182 F316 2
gF o r gA-182 F316H —
TABLE 2 g b aA-479 316 235
ad Product Spec. No. G r a d eo t e s< u TABLE4~ Plate SA-240 304L — Az
ProductO* Smls. Tb. SA-213
Spec. No. G r
: ~ ~TP304L — :
Smls. Pp. SA.312 TP304L —s =jS ;::: Tb SA-240 316L —
~~ Bar g ~’g . .SA-479
SA-213 TP316L —304L 5 Smls. Pp. SA-312 TP316L —’ ~
>*B aA - 416L 5
M A X I M U ML L O W A B L ET R E S SA L U E S ,. 0 0d
MATERIALS
N
11 8 . 87 . 86 . 66 . 25 . 95 . 95 . 95 . 95 .5 .41 8 . 85 . 74 . 12 . 92 . 11 . 41 . 21.1 10.fj 10.6 10.4 Io.z
21 6 . 76 . 55 . 34 . 74 . 44 . 03 . 73 . 53 .3 .1 6 . 34 . 32 . 81 . 70 . 90 . 30 . 10 . 0. .
318.8 18.8 18.4 18.1 18.0 17.0 16.7 16.3 16.1 15.9 15.7 15,6 1
1 8 . 87 . 75 . 64 . 33 . 32 . 62 . 32 . 11 .1 .1
41 6 . 76 . 76 . 01 5 . 64 . 84 . 03 . 83 . 53 .3 .21 6 . 74 . 12 . 71 . 70 . 90 . 40 . 20 . 0. .
M A T E R I A L SF O RE T A LE M P E R A T U R E STAyLE
11
1
31 5 . 45 . 34 . 52 . 4. 8. 4. 5. 12 .1 1 . 41 . 31 . 21 . 0. 8. 4, 5. 1. .
NT h s v e e y s t t s v rd c p s T s v r f g o aw s a d c l m
t a I t s v a c 0 hF 1 t s v b m t h am t1 q w r c o mS [ 6
e p c m b p s r o
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191
THERMAL EXPANS1ON
LinearThermalExpansionbetween70FandXndicatedTemperature,Inches/100Feet
THEDATAOF THISTABLEARETAKENFROMTH~:AM~KIcANsTANllAItll~Ol)E:FORPRESSUREH~lNC. I T SO T
MATERIAL
~mp. g::;.;toy; 5 Cr Mo ;“:::;:C 120thru 17Cr 25 Cr
)gF Low-Chrome &l~:n~’cu 3%Nickel Aluminum &q:on9 ~ 18s W8’\i 27Cr 20
-2.04 –2.62 -2.25 -4.68 -3.98300 -2.24 -2.10 –3.63 -1.92 -2.50 -2.17 -4.46275 –2.11 –1.98 -3.41
-3.74-1.80 -2.38 -2.07 -4.2I -3..50
2s0 -1.98 -1.86 -3.19 -1.68 -2.26 -1.9622s
-3.97-1;85 -1.74 -2.96
-3.26-1.s7 –2.14 –1.86 -3.71 “-3.o2
200 -1.71 -1.62 -2.73 -1.46 -2.02 –1.76 -3.4417s -1.S8
-2.78- I .50 -2.s0 –1.3s -1.90 -1.62
1so-3.16
-1.45-2.S4
-1.37 -2.27 -1.24 -1.79 -1.48 -2.88 –2.3112s -1.30 -1.23 –2.01 –1.11 -1.s9 -1.33 –2.s7 –2.06100 -1;15 -1.08 -1 .7s -0.98 –1.38 -1.17 –2.27 –1.81
7s –f,oo -0.94 -1.s0 -0.8S -1.18 -1.01so -0.84 -0.79 -1.24 -0.72
-1.97-0.98 -0.84
-1.56–1.67 -1.32
25 –0.68 –0.63 –0.98 –O.s7 -0.77 -0.67 –1.32 -1.25-0.49 -0.46 –0.72 –0.42 –0.s7 -0.50 –0.97
2: -0.32 -0.30 -0.46-0.77
–0.27 –0.37 -0.32 –0.63 -0.49so -0.14 -0.13 –0.21 -0.12 -0.20 -0,1s
o 0 0-0.28
0 0-0.22
01:: o 0 0 00.23 0.22 0.34 0.20 0.32 0.28 0.23 0.46 0.21 0.36125 0.42 0.40 0.62 0.36 0.S8 0.s2 0.42 0.8S 0.38 0.66150 0.61 0.S8 0.90 0.53 0.84 0.7s 0.61 1.23 0.52 0.9617s 0.80 0.76 1.18 0.69 1.10 0.99 0.81 1.62 0.73 1.26200 0.99 0.94 1.46 0.86 1.37 1.22 1.01 2.00 0.90 1.S622s 1.21 1.13 1.7s 1.03 1.64 1.46 1.21 2.41 1.08 1.862s0 1.40 1.33 2.03 1,21 1.91 1.71 1.42 2.83 1.27 2.17275 1.61 1.s2 2.32 1.38 2.18 1.96 1.63 3.24 1.4s 2.48300 1.82 1.71 2.61 1,S6 2.4S 2.21 1.84 3.67 1.64 2.7932S 2.04 1.90 2.90 1.74 2.72 2.44 2.0s 4.09 1.83 3.11350 2.26 2.10 3.20 1.93 2.99 2.68 2.26 4.S2 2.03 3.4237s 2.48 2.30 3.s0 2.11 3.26 2.91 2.47 4.95 2.22 3.74400 2.70 2.s0 3.80 2.30 3.s3 3.25 2,69 S.39 2.42 4.0542S 2.93 2.72 4.10 2.50 3.80 3.52 2.91 S.83 2.62 4.374s0 3.16 2.93 4.41 2.69 4.07 3.79 3.13 6.28 2.83 ;.:;47s 3.39 3.14 4.71 2.89 4.34 4.06 3.3s 6.72 3.03Soo 3.62 3.3s Sol 3.08 4.61 4.33 3.S8 7.17 3.24 S:33S25 3.86 3.58 5.31 3.28 4.88 4.61 3.81 7.63 3.46 S.65S50 4.11 3.80 5.62 3.49 5.1s 4.90 4.04 8.10 3.67 5.98
S7S 4.3s 4.02 5.93 3.69 5.42 5.18 4.27 8.s6 3.89 6.31::; 4.60 4.24 :.;; 3.90 S.69 5,46 4.50 9.03 4.1I 6.644.86 4.47 4.10 5.96 S.7S 4.74 4.34 6.96
650 5.11 4.69 6:87 4.31 6.23 6.05 4.98 4.57 7.29675 5.37 4.92 7.18 4.S2 6.S0 6.34 S.22 4.80 7.62700 5.63 5.14 7.s0 4.73 6.77 6.64 5.46 5.03 7.9572S 5.90 S.38 7.82 4.94 7.04 6.94 S.70 S.26 8.287s0 6.16 5.62 8.15 S.16 7.31 7.25 S.94 5.s0 8.62775 6.43 5.86 8.47 5.38 7.s0 7.ss 6.18 S.74 8.968 0 0. 70 6. 10 8. 80 S. 607. 8S 7.8s 6.43 5.98 9.3082S 6.97 6.34 9.13 S.82 8.1S 8.16 6.68 6.22 9.648S0 7.2S 6.S9 9.46 6.0S 8.4S 8.48 6.93 6.47 9.9987s 7.53 6.83 9.79 6.27 8.7s 8.80 7.18 6.72 10.33900 7.81 7.07 10.12 6.49 9.0s 9.12 7.43 6.97 10.6S
92S 8.08 7.31 10.46 6.71 9,3s 9.44 7.68 7.23 11.029s0 8.3S 7.S6 10.80 6.94 9.6S 9.77 7.93 7.s0 11.3797s 8.62 7.81 11.14 7.17 9.9s 10.09 8.17 7.76 11.71
1000 8.89 8.06 11.48 7.40 10.2s 10.42 8.41 8.02 12.0s102s 9.17 8.30 11.82 7.62 10.5s 10.7s 12.4010s0 9.46 8.ss 12.16 7.9s 10.8S 11.09 12.76
107s 9.7s 8.80 12.50 8.18 11.1S 11.43 13.111100 10.04 9.0s 12.84 8.31 114s 11.77 13.47112s 10.31 9.28 13.18 8.S3 11.78 12.111150 10.s7 9.S2 13.S2 8.76 12.11 12.47
117s 10.83 9.76 13.86 8.98 12.44 12.811200 11.10 10.00 14.20 9.20 12.77 13,15122s 11.38 10.26 14.s4 9.42 13.10 13.s01250 11.66 10.s3 14.88 9.65 13.43 13.861275 11.94 10.79 1s.22 9.8& 13.76 14.221300 12.22 11.06 1S.S6 10.11 14.09 14.S8132S 12.s0 11.30 15.90 10.33 14.39 14.9413so 12.78 11ss 16.24 10.s6 14.69 1s.30137s 13.06 11.80 16.s8 10.78 14.99 1s.661400 13.34 12.0s 16.92 11.01 IS.29 16.02142s 17.3014so 17.69147s 18.081s00 18.47
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192
DESCRIPTIONOF MATERIALS
Whendescribingvariousvesselcomponentsand parts on drawingsand in billmaterials,it is advisablethat a standardmethod be followed. For this purpoit is recommendedthe use of the widelyacceptedabbreviationsin the sequen
exemplifiedbelow. For ordering material the requirements of manufactushould be observed.
PART DESCRIPTIONMATERIA
SPECIFICAT
9 Bar2 x 1/4x 3’-6
9BAR Bar3/4 @x 2’- O SA-7
Bar 1 @ x 3’- O
3/4 @x 2-1/2H.Hd.M.B.WI(1) sq.nut SA-193B7bo= BOLT
1@x 5-1/2studw/ (2) h. nuts SA-1942Hnu
~ CAP 8“ Std.Cap$,
1“ – 6000# Cplg.
DScrewed 2“– 3000# Cplg.COUPLING 1“ -6000 # HalfCplg. SA-105
1“ -6000 # 4-1/2Lg.Cplg.
hWelding
6“- Std. 900 L.R. En.4“- X Stg.450 S. R. En.
ELBOW SA-234WPB6“ x 4“ Std. L.R. Red.Eli
4“ - 300# RF. So.Fig.6“- 150# RF.Wn.Fig. Std. BoreB.
g FLANGE 6“ - 600# RTJ.Wn.Fig. XStg.Bore,, SA-18113“ - 150# FF. So. Fig.8“ -150 # R.F.Bid.Fig.
b1“- 6000# 900 Scr’d.En.
~’:kw:d 1“-3000 # 900 Scr’d.StreetEn.
~ Welding2“ -3000 # S.w.Cplg.1“ - 3000# Sq.Hd.Plug
SA-105FORGED
Q FITTING2“ -6000 # Scr’d.Tee2“ -3000 # 450 S.W.En.
30 GASKET18-150 # 1/16” Serv. Sht. Gasket18-300 # SpiralWound ASB. Filled
ASB.
48 “ID x 0.375 min. 2:1 ellip. head2“ S.F.
SA-285 C
9 HEAD 48” OD x 0.500” min. ASMEF & DHead 2 S.F. L= 48” r = 3“
SA-515-70
54” ID x 0.375” min. Hemis. HeadSA-516-70
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1
0
DESCRIPTIONOFMATERIALScont.) IL o n g
W e l d i n ge c k8 ”3 0 0F. LWN
6“ - Std.Pipex 2’-1
PIPE 8“ -X Stg.Pipex 1’- 6-1/24“ - S. 160Pipex 2’424” - 0.438”WallPipex 1’-0
FL96” X 3/8 X 12’-6
PLATE ~ 24”OD X1/2 X18” ID~ 18” OD X1-1/2
Welding 6“ x 4“ Std. Cone. Reducer
REDUCER 8’”x 6“ X Stg. Ecc. Reducer
SA-1811
SA-53B I
SA-285C
SA-234 WPB
Welding 6“ - Std. 1800 L. R. ReturnRETURN 4“ - X Stg. 1800 S. R. Return
SA-234 WPB
Welding 4“ - Std. TeeTEE 6“ x 6“ x 4“ X Stg. Red. Tee
SA-234WPB
— —
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EQUIVALENT AND COMPARABLE MATERIALS OF FOREIGN COUNTRIES
G e r m a n y F o r m e r
U . S . A .r a n c ee s tF e d .e p . )a s tD .e p . )o v i e tn i o na p a
SA -204 B 15D 3 1.6415/15MO3 15Mo 3 — —
SA - 283A =A 33 =1.0035 I =St 33 =St 33 CTO-2 —
SA -283 C TSE 24 a =1.0036 I Ust 37-2 St 381[-2 CT 3 kn2 —
SA -284 B =E24–2 = 1,0038/=Rst37-2 St 38 b -2 BCt 3 cn 2 —
SA -284 B E -24-3 1.0116/St 37-3 St 38-3 =181cn —
SA -285 C A 37 1.0345111 Mb 13 = 12K —
SA -299
SA -455 A 52 1.0844/ 17Mn 4 17Mn 4 K47
SA -440 15CD 2.05 1.7335/13 CrMor 13CrMor 4.4 12X M —A
& -
SA- 572-55 A 50-2 1.0050/St50-2 St 50 Ct 5 Cn 3 Ss 50
SA -51560 A -42 1.0425 / H 11 Mb 16~..
I SA -51570 I – I 1.0435/HIIi I Mb 19 I
16 k —
18 k —SA -51660 A -42 1.0425/ H II Mb 16 16k —
SA -516-70 — 1.0435/ H 111 Mb 19 18k —
SA -572-55 A 50-2 1.0050 /St 50-2 St 50 Ct 5 Cn 3 SM53 C
I
SA -240-304 — 1.4301 / X 5 Cr Ni 189 X5 CrNi 189 08X 18 H 10 SA453 c
SA -240 -316~ =22 CNDIT-1$ =1.44041X 2 CRN]MO1810 X8CRN1T11810 03X17H14M2 316L
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1
SFOR THE DESIGN AND FABRICATION OF PRESSURE VESSELS
N O T E S
P r e s s u r ee s s e ls e r sn da n u f a c t u r e r sa v ee v e [ o p e de r t a i nt a n d ar a c thp r o v e nd v a n t a g e o u s nh ee s i g nn do n s t r u c t i o n fr e s s u r ee s s e l sh ip e c i f i cnt h o s er a c t i c e sh i c ha v ee c o m eh eo s ti d e l yc c e p t a b l eno l l o w e
T h e s et a n d a r d sr ea r t l ye f e r e n c e s oh ee l e c t e dl t e r n a t i v e se r m i t tt M Ca n da r t l ye s c r i b e de s i g nn do n s t r u c t i o ne t h o d so to v e r e dho de g ut h eo d er eo tu o t e d nh i sp e c i f i c a t i o n .
A .E N E R A L
1 .
2 .
3 .
4 .
5 .
6 .
7 .
T h i sp e c i f i c a t i o no g e t h e ri t hh eu r c h a s er d e rn dr a w i n go v ee q u
f o rh ee s i g nn da b r i c a t i o n fr e s s u r ee s s e l s .I na s e fo n f l i c t s ,h eu r c h a s er d e rn dr a w i n g sa k er e c e d e n cv hp e c i
P r e s s u r ee s s e l sh a l l ee s i g n e d ,a b r i c a t e d ,n s p e c t e dnt a m p ea c c o rl a t e s td i t i o n fh eS M Eo i l e rn dr e s s u r ee s s e lo d ee c t iI Ii v ai t su b s e q u e n td d e n d a .
V e s s e l sn de s s e lp p u r t e n a n c e sh a l lo m p l yi t hh ee g u l a t i ot c c uS a f e t yn de a l t hc tO S H A ) .
V e s s e la n u f a c t u r e r sr en v i t e d ou o t er i c e s nl t e r n a t ea t e r io n sm e t h o d s fc o n o m i c s rt h e rs p e c t sa k e te a s o n a b l eo
A l le v i a t i o n sr o mh i sp e c i f i c a t i o n ,h eu r c h a s er d e r ,hr a w ih
w r i t t e np p r o v a l fh eu r c h a s e r .
V e s s e la b r i c a t o r ,i l e re c e i p t fu r c h a s er d e r ,h a l lu r n i sp u r c h ah ed r a w i n g so rp p r o v a l .
D E S I G N
1 .
2 .
3 .
4 .
5 .
PressureVesselsshallbe designedtowithstandthe loadingsexertedbyinternalorexternapressure,weightofthevessel,wind,earthquake,reactionof supports,impact,andtemperature.
The maximumallowableworkingpressure shall be limited by the shell or head, not bminorparts.
Wind loadand earthquake. Allvesselsshallbedesignedtobefree-standing.Todeterminthe magnitudeofwindpressure,the probabilityof earthquakesandseismiccoefficientsivariousareasof theUnitedStatesStandardANSI/ASCE7-93(MinimumDesignLoadsiBuildingsand OtherStructures)shallbe applied.
It is assumedthat wind andearthquakeloadsd oo tc c u ri m u l t a n e o u shvs h o u l d ee s i g n e do ri t h e ri n d ra r t h q u a k eo a d i n g ,h i c h e vg r e a
H o r i z o n t a le s s e l su p p o r t e d ya d d l e sh a l l ee s i g n e dc c o r d it e LP .i c k ,S t r e s s e s na r g eo r i z o n t a lr e s s u r ee s s e l swa d du p p o
T h ee f l e c t i o n fe r t i c a le s s e l sn d e ro r m a lp e r a t i n go n d i t i oh xi n c h e se r0 0e e t fe n g t h .
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1 9 6
S p e c i f i c a t i o no rh ee s i g nn da b r i c a t i o n fr e s s u r ee s s ec o n t i
6 .t r e s s e s nk i r t s ,a d d l e s , rt h e ru p p o r t sn dh e i rt t a c h m eet h ea x i m u ml l o w a b l et r e s sa l u e s fa t e r i a l si v en Part UCS of the ASMCode by 33-1/3 percent.
7. Vessel manufacturers shall submit designs for approval when does no
furnish a d e s i g n ro e so tp e c i f yh ee q u i r e dl a th i c k n e s
C .A B R I C A T l u N
1 .
2 .
3 .
4 .
5 .
6 .
7 .
8 .
M a t e r i a l sh a l l ep e c i f i e d yu r c h a s e rn dh e i re s i g n a t in d i ts h o pr a w i n g s .a t e r i a l sh a l lo t eu b s t i t u t e doh o sp e c i fi tw r i t t e np p r o v a l fu r c h a s e r .
T h eh i c k n e s s fl a t es e do rh e l ln de a d sh a l l/ 4 - i ni n i
M a n u f a c t u r e r ’ se l d i n gr o c e d u r en du a l i f i c a t i o ne c o r dh as u ba p p r o v a lp o ne c e i p t fu r c h a s er d e r .e l d i n gh a lop e r ft ou r c h a s e r ’ sp p r o v a l fe l d i n gr o c e d u r en du a l i f i c a t i o n
A l le l d i n gh a l l eo n e yh ee t a l l i ch i e l d e drt hu b mw e l d i n gr o c e s s .
P e r m a n e n t l yn s t a l l e da c k i n gt r i p sh a l lo t es ei t h or i tp pp u r c h a s e r .h e ns e d ,a c k i n gt r i p sh a l l eh ea mo m p o s i tttw h i c hh e yr et t a c h e do .
L o n g i t u d i n a le a m s ny l i n d r i c a l ro n i c a lh e l l s ,le a ms p h e rhb u i l t - u pe a d sh a l l eo c a t e d ol e a rp e n i n g s ,h e ie i n f o r c iaw e a rl a t e s .i r c u m f e r e n t i a le a m s fh e l lh a l lo c a tc l pt h e i re i n f o r c i n ga d s ,r a yn dn s u l a t i o nu p p o r ti n g sna dW h e nh eo v e r i n g fi r c u m f e r e n t i a le a m ye i n f o r c i n gau n a v os e a mh a l l er o u n dl u s hn dx a m i n e dr i o re l d i nhe i n fi nl a c e .
N oo n g i t u d i n a lo i n t sh a l l el l o w e di t h i nh eo w n c o m era a o
p l a c eh e r er o p e ri s u a ln s p e c t i o n fh ee l d sm p o s s i b l e
T h ei n i m u mi z e fi l l e te l de r v i n g st r e n g t he lon t e
1 / 4n c h .
S k i r t .e r t i c a le s s e l sh a l l er o v i d e di t hs k i rh i ch aao ud i a m e t e rq u a l oh eu t s i d ei a m e t e r fh eu p p o r t e de s sT it h i c k n e s so rs k i r th a l l e/ 4n c h .
S k i r t sh a l l er o v i d e di t hm i n i m u m fw o- i n ce no lo cha so s s i b l e8 0e g r e e sp a r t .
S k i r t sf e e t ni a m e t e rn de s sh a l la v en ec c e sp e n ’ i na rd i a m e t e rk i r t sh a l la v ew o8 - i n c h. D .c c e s sp e n i n ge i n f o
B a s eings s h a l l ee s i g n e do r nl l o w a b l ee a r i n gr e s s u rc o n c6 p
A n c h o r b es e dh e r ee q u i r ena av e s s e le i g h tx c e e d s 0e e t .h eu m b e r fn c h oo lh ai m uo f ;m i n i m u m fi sr e f e r r e d .
S a d d l e sh a l l ee l d e d oh ee s s e l ,x c e p th ep e c i f i c ar d bs h i p p e do o s e .a d d l e s o eh i p p e do o s eh a l li t t et he sm a r k e do ri e l dn s t a l l a t i o n .h eh o pr a w i n gh a le ae t an sc o n c e r n i n gh i s .
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197
Specificationfor the Designand Fabricationof PressureVessels(continued)
Whentemperatureexpansionwillc a u s eo r eh a n/n ch a nt ib e t w e e nh ea d d l e s ,s l i d ee a r i n gl a t eh a l ls e dh e es u p p o r t e d yo n c r e t ea d d l e s/ 4n c hh i c k ,o r r o s i o nt h eo n c r e t ea d d l eh a l l ee l d e d oh eh e l li tc o r r o s i o nl a t eh a l l er o v i d e di t h1 / 4n c he n
s e a l a n tf t e rh ee s s e la se e nr e s s u r ee s t e d .9 .p e n i n g s fi n c h e sn dm a l l e rh a l l e0 0 0
c o u p l i n g .
O p e n i n g s- 1 / 2n c h e sn da r g e rh a l l el a n g e d .
10.
F l a n g e sh a l lo n f o r m ot a n d a r dN S I 1. 5 - 1 9 7 3 .
F l a n g ea c e sh a l l e so l l o w s :
Raised face. . . . . . . . b e l o wa t i n g0 0 bN S I
p l a ti n c i
a c o n t i n ueh o ll u g il
f o r g et euh
Raised face. . . . . . . . r a t i n g0 0 bN S I ,i p ei zi n c hm
Ring type joint. . . . . . r a t i n g0 0 bN S I ,i p ei zi n c ha
R i n gy p eo i n t .. . . . a b o v ea t i n g0 0 bN S I .
F l a n g e - b o l t - h o l e sh a l lt r a d d l eh er i n c i p a le n t e r l i n e st he s sps h a l l el u s hi t hn s i d e fe s s e lh e ns e d sr a i nw h eo ctt h e r eo u l d en t e r f e r e n c ei t he s s e ln t e r n a l s .n t e r n ad go p e nb eo u n d e d om i n i m u ma d i u s f/ 8n c h r or a d i uq uo n e -tp i p ea l lh i c k n e s sh e n t se s sh a n/ 4n c h .
W h e nh en s i d ei a m e t e r fh eo z z l ee c kn dhe l d ie lw e l d i n gi t t i n gi f f e r y/ 1 6n c h ro r e ,h ea r tm a l li a mt a p e r e d tr a t i o: 4 .
O p e n i n g sh a l l ee i n f o r c e do re wn do l d , se l oo r r oo n
T h el a t es e do re i n f o r c i n ga dh a l l eh ea m eo m p o s i t i ot etf o rh eh e l l re a d oh i c h t so n n e c t e d .
R e i n f o r c i n ga d sh a l l er o v i d e di t h1 / 4n c ha p p ee l l - too9 0 °f fh eo n g i t u d i n a lx i s fe s s e l .
T h ei n i m u mu t s i d ei a m e t e r fh ee i n f o r c i n gah a l4 i n co u t s i d ei a m e t e r fh ep e n i n g ’ se c k .
W h e no v e r sr e o er o v i d e do rp e n i n g sc c o r d i n ghu r c h aet i o n ,a n u f a c t u r e rh a l lu r n i s hh ee q u i r e da s k e t snt u dh ehbu s e do re s t i n gh ee s s e l .
M a n w a yo v e r sh a l l er o v i d e di t ha v i t s .
C o u p l i n gh r e a d su s t el e a nn dr e er o me f e c t sf t en s t a l l a t
I n t e r n a l s .r a y sh a l l eu r n i s h e d yr a ya b r i c a t o rnn s t avm a n u f a c t u r e r .r a yu p p o r ti n g sn do w n c o m e ro l t i na rh af u ra n dn s t a l l e d ye s s e la n u f a c t u r e r .h er a ya b r i c a t o rh au bos h o pe t a i l s ,n c l u d i n gn s t a l l a t i o nn s t r u c t i o n sn da c k i ni sp u r ca p p r o v a ln dr a n s m i t t a l oe s s e la b r i c a t o r .
T r a y sh a l l ee s i g n e do ru n i f o r mi v eo a d fst he iws e t t i n g ,l t i b h e v e r sr e a t e r ,n do rc o n c e n t r a t e di vo a2 5
A th ee s i g no a d i n gh ea x i m u me f l e c t i o n fr a y sh a lox c
u p o0 - f o o ti a m e t e r1 / 8n c h
l a r g e rh a n0 - f o o ti a m e t e r3 / 1i n c h
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198
Specificationfor the Designand Fabricationof PressureVessels(continued)
T h ei n i m u mh i c k n e s s fn t e r n a ll a t e w o r k sn du p p o ri nh lt h a n/ 4n c h .
I n t e r n a la r b o nt e e li p i n gh a l l et a n d a r de i g h t .
I n t e r n a ll a n g e sh a l l eN S I5 0 - l bl i p - o ny p e ra b r i c a t er l a
C a r b o nt e e ln t e r n a ll a n g e sh a l l ea s t e n e di ta r bt eq u am a c h i n eo l t sn dq u a r eu t sa c k - w e l d e d ohl a n g ea v o o
R e m o v a b l en t e r n a l sh a l l ea d e ne c t i o n sh i car e m oht h ea n w a y s .
R e m o v a b l en t e r n a l sh a l lo t er o v i d e di t ho r r o s i o nl l o w a npc o n n e c t e d ou m pu c t i o n ,v o r t e xr e a k e rh a l lr o v i d e d
1 1 .p p u r t e n a n c e s .e s s e l sr o v i d e di t ha n w a y s ,i q u ie vo n trv a l v e s 2e e tb o v er a d e ,h a l l eq u i p p e di t ha g ea d d el a
L a d d e rn dl a t f o r mu g sh a l l eh o p - w e l d e d ohe s s e lh ee r er e q u i r en s u l a t i o n ,a b r i c a t o rh a l lu r n i s hn dn s t a l lu p p oi ne i nr i n g sa yl s o et i l i z e d nu p p o r t i n gn s u l a t i o n .
I n s u l a t i o nu p p o r ti n g sh a l l e/ 2n c he s si d th ahh ii n s u l a t i o nn dp a c e d 2o o t - 1 / 2n c hl e a rt a r t i n gh oa n git o pi n gh a l l eo n t i n u o u s l ye l d e d oh ee a d ;lt h ei na tb yl - i n c ho n gi l l e te l d n2 - i n c he n t e r s .ho t t oei n sv e r t i c a le s s e lh a l l eq u i p p e di t h/ 2 - i n c hq u a r eu te l di ht oh eu t s i d e fh ee a d np p r o x i m a t e l y2 - i n c hq u a re n t e
1 2 .a b r i c a t i o no l e r a n c e sh a l lo tx c e e dh ei m i t sn d i c a t et ha e go na g eT O .
D .N S P E C T I O N
1 .u r c h a s e re s e r v e sh ei g h t on s p e c th ee s s e lni mu r ia b r ia s s u r eh a th ee s s e la t e r i a l sn dh eo r k m a n s h i pra c c o r d
s p e c i f i c a t i o n .
2 .h ep p r o v a l fn yo r k yh eu r c h a s e r ’ se p r e s e n t a t i v ene lav e s s e lh a l lo te l i e v eh ea n u f a c t u r e r fn ye s p o n s i b i l i t yoa r rtp r o v i s i o n s fh i sp e c i f i c a t i o n .
E .
1, Radiographicexaminationshall be performedwhenrequiredby the ASMECodor whendeterminedby the economicsof design.
2. The completedvesselshallbe providedwith a nameplatesecurelyattachedto thevesselby welding.
3. If the vesselis post-weldheat-treated,no weldingis permittedafter stressrelievin
4. Removableinternalsshallbe installedafterstressrelieving.5. The location of all vesselcomponentsopenings,seams,internals,etc.,of the vesse
shall be indicated on the shop drawingsby the distanceto a commonreferencline. Thereferencel i n eh a l l ee r m a n e n t l ya r k e dhh e l
6 .h eydrostatic test pressures h a l l ea i n t a i n e dod e q u aipa t h o r o u g hn s p e c t i o n , nn ya s eo te s sh a n 0i n u t e s
7 .e s s e l sh a l lo t ea i n t e dn l e s sp e c i f i c a l l yt a t e dr d e
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, .
199
Specification for the Design and Fabrication Pressure V e s s ec o n t i n
F .R E P A R A T I O NO RH I P M E N T
1 .f t e ri n a ly d r o s t a t i ce s t ,e s s e lh a l l er i e dn dl e a n eh o r o u gno u t s i d e oe m o v er e a s e ,o o s ec a l e ,u s tn di r t .
2 .l li n i s h e du r f a c e sh i c hr eo tr o t e c t e d yl i n dl a n g eh ac or u s tr e v e n t a t i v e .
3 .l ll a n g e dp e n i n g sh i c hr eo tr o v i d e di t ho v e rh a er o ts u i t a b l et e e ll a t e s .
4 .h r e a d e dp e n i n g sh a l l el u g g e d .
5 .o rn t e r n a la r t s ,u i t a b l eu p p o r t sh a l l er o v i d e da v oa m us h i p m e n t .
6 .o l t sn du t sh a l l eo a t e di t ha t e r p r o o fu b r i c a n t .
7 .e s s e l sh a l l el e a r l yd e n t i f i e d ya i n t i n gh er d ent u mac o n s p i c u o u so c a t i o n nh ee s s e l .
8 .m a l la r t sh i c hr e o eh i p p e do o s eh a l l ea g g eb o x a
w i t hh er d e rn dt e mu m b e r fh ee s s e l .
9 .e s s e la b r i c a t o rh a l la k el le c e s s a r yr e c a u t i o n so a d ib l ob r a c i n gh ee s s e ln du r n i s h i n gl le c e s s a r ya t e r i a lr e v ea m a
G .I N A LE P O R T S
1 .e f o r eh ee s s e l se a d yo rh i p m e n th ea n u f a c t u r e rh au r nu rc o p i e s re p r o d u c i b l er a n s p a r e n c ya c h fh eo l l o w i n ge p o r t
a .a n u f a c t u r e r ’ sa t ae p o r t .
b .h o pr a w i n g sh o w i n gh ee s s e ln di m e n s i o n sau i l t
c .h o t o s t a t i co p i e s fe c o r d i n gh a r t sh o w i n gr e s s u r eu r iy d r o s
d .h o t o s t a t i co p i e s fe c o r d i n gh a r t sh o w i n ge m p e r a t u ru ro sh e a tr e a t m e n t .
e .u b b i n g fa m el a t e .
H .U A R A N T E E
M a n u f a c t u r e ru a r a n t e e sh a th ee s s e lu l f i l l sl lo n d i t i o ns t atS p e c i f i c a t i o nn dh a t t sr e er o ma u l t ne s i g n ,o r k m a n s ha
S h o u l dn ye f e c te v e l o pu r i n gh ei r s te a r fp e r a t i o n ,ha n u f a ct oa k el le c e s s a r yl t e r a t i o n s ,e p a i r sn de p l a c e m e n t sr ec h a r
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200
V F T
T h ei m e n s i o n a lo l e r a n c e s nh i sa b l eu n l e s st h e r w i so tap r a c t i c ei d e l yo l l o w e d ys e r sn da n u f a c t u r e r sr e s s ue s s
A l lo l e r a n c e sr en c h e s ,n l e s st h e r w i s en d i c a t e d .
T o l e r a n c e so ti s t e d nh i sa b l eh a l l ee l di t h i np r a c t i ci m
Q b & a : R : : : : ; e ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ : ’c .i s t a n c e ohe f e r e ni. .
d .e v i a t i o ni r c u m f e r e n t i a l l ye a sat the joint of structure . . . . . . .
@ ~ ~a n w a y
t 1
D i s t a n c ee t w e e nwd j a cl 1
e .i s t a n c er o mha cf l ac e n t e r l i n e fa n w ar e f e r iv e s s e lu p p o r tu go t ts a dc e n t e r l i n e fe s s e lh i c h eapplicable . . . . . . . . . . . . . . i 1
*
d f .e v i a t i o ni r c u m f e r e n t i a l l ye a s. . . .
7o nh eu t e ru r f a cv e s s. . . t 1, .
. fg .r o j e c t i o n ;h o r t e si s t a nro u t s i d eu r f a c ee s st haof manway . . . . . . . . . . . . . t 1/2
h .e v i a t i o nr o mo r i z o n t ae r t
Q l
o rh en t e n d e do s i t i oa ndirection . . . . . . . . . . . . . . . ~ 1°
i .e v i a t i o n fo lo l ea ne direction . . . . . . . . . . . . . . . t 1
e N o z z l e ,o u p l i n gh i c hr obc o n n e c t e d oi p i n g .
T h eo l e r a n c e soa n w ah- - -a p p l i e d .
N o z z l e ,o u p l i n gh i c hrbc o n n e c t e d oi p i n g .
D i s t a n c er o mha cf l ac e n t e r l i n e fp e n i nr e f e r iv e s s e lu p p o r tu go t t os a dc e n t e r l i n e fe s s e lh i c h eapplicable . . . . . . . . . . . . . . f 1
f .e v i a t i o ni r c u m f e r e n t i a l l ye a so nh eu t e ru r f a cv e s s. . . ? 1
g .r o j e c t i o n ;h o r t e s ti s t a nro u t s i d eu r f a c ee s s et haof opening . . . . . . . . . . . . . . ~ 1/4
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201
VESSEL FABRICATION TOLERANCES(continued)
@ @
‘ + - - I - Tt
N o z z l e s ,c o n t i n u e d )
h .e v i a t i o nr o mo r i z o n t a l ,e r t it h en t e n d e do s i t i o nndirection. . . . . . . . . . . . . . . t 1/
i .e v i a t i o n fo l to l ea ndirection. . . . . . . . . . . . . . . i 1
N o z z l e s ,o u p l i n g ss e doe v ea gl e v e lo n t r o l ,t c .
D i s t a n c ee t w e e ne n t e r l i nopenings . . . . . . . . . . . . . . . i 1
S a d d l e
k .i s t a n c ee n t e r l i n eo l t h o lreference line . . ., . . . . . . . . . ~ 1
k .i s t a n c ee n t e r l i n eo l t h o l
centerline of shell . . . . . . . . . . I 11 .i s t a n c ee t w e e no l t h o l eb a
p l a t e re t w e e no l t h o l es l otwo saddles. . . . . . . . . . . . . . k 1
m .r a n s v e r s ei l t fa sl a t. . . . k 1
n .
&hell
o.
P .
T r a y
r .
p
L o n g i t u d i n a li l ta sl a. . . ~ 1
Deviation from verticality for vesselsof up to 30 ft overall length . . . . . ~ 1/2
for vesselsof over 30 ft overalllength ~ 1/8per 10 ft.max. 1-1/2
Vesselsfor internal pressure. The differencebetween the maximum and minimum insidediameters at any cross section shall not exceedone percent of the nominal diameter at thecross section . . . . . . . . . . . . . t 170
Deviation from nominal inside diameteras determined by strapping . . . . . ~ 1/32
p
O u t fo u n d n e s so dG - 8
E x t e r n a lr e s s u r e .eo dG -
F o r m e de a d s ,o dG - 8
installation
O u t fe v e l nn yi r e c t i o. . . . t 1p F
TraySupport
r. Out of level in any direction . . . . . ~ 1/32p F
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202
V E S S E LA B R I C A T I O NO L E R A N C E S
( c o n t i n u e d )
T r a yu p p o r tc o n t i n u e d )
Bv
s .i s t a n c ee t w e e nd j a c er
E } + *
supports . . . . . . . . . . . . . . . t 1
t. Distance to reference line . . . . . .? 1
s. Distance to seal pan . . . . . . . . . f 1
w
v .i s t a n c e oo w n c o m eu p p. . ~ 1w
w .i l to rn yi d tu p p oi. ~ 1
x W e i rl a t e
/
I *
x. Out of level . . , . . . . . . , . . . ~ 1
Y. Height . . . . . . . . . . . . . . . . I 1/8
*z .i s t a n c e on s i de s sa. . t 1
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203
A P Ip e c i f i c a t i o no r
SHOP WELDEDTANKSS u m m a r y fa j o re q u i r e m e n t s fP I .t a n d a r dZ Fe n td i t 9
S C O P E
specification covers material, design, and construction requirements forvertical,cylindrical,aboveground,shopwelded, steel productiontanks in nominalcapacitiesof 90 to 500 bbl. (in standardsizesup to maximumdiameterof 15ft.,
6 in.) for oil fieldservice.A
B
RD
E H
JQ9
M A T E R I A L
Plates shall conform to the following ASTM StandardsA36, A283 C or D, and A285 C.
MINIMUMPLATETHICKNESSShelland deck: 3/16 in., Bottom: 1/4 in. Sump: 3/8 in,
CONSTRUCTIONThe bottom of the tank shallbe flat or conical; the lattermay be skirted or unskirted. Fig.A, B, C. The deckshallbe conical. The slopeof the bottom and deckcone= 1:12
WELDINGBottom, shell and deckplatejoints shallbe double-weldedbutt joints with complete penetration. Fig. D. Thebottom and the deck shall be attached to the shell bydouble-weldedbutt joint or 3/16 in. fillet welds, bothinsideand outside.Fig.E through K.
OPENINGSTanks shall be furnished with 24 in. x 36 in. extendedneckcleanout. APIStd. 12F Fig.3.4
TESTINGTanks in diameters up to and including 10 ft. shall be
tested to 3 psi. air pressure; tanksin diameterslargerthan10ft. shallbe tested to 1-1/2psi.air pressure.
PAINTINGOnecoat primer.
N o m i n a lC a p a c i t y ,
b b l .
9 01 0 01 5 0
2 0 02 1 02 5 03 0 04 0 0
5 0 05 0 07 5 0
T o l e r a n c e
W o r k i n gC a p a c i t y ,
b b l .
7 27 9
1 2 9
1 6 62 0 02 2 42 6 63 6 6
4 6 64 7 97 4 6—
O u t s iD i a m e t e
f t n
7 - 19- 69- 6
1 21 01 11 21 2
1 2 -1 5 -1 5 -* 1 n
H e if
18
1
101112
212
2 3
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204
WELDEDSTEEL TANKSFOR OIL STORAGEAPI. S t a n d a r d5 0 ,i g h t hd i t i o n9 8
APPENDIX A — OPTIONAL DESIGN BASIS FOR SMALL TANKS(Summav of major requirements)
SCOPEThis appendix provides rules for relatively small capacity field-erectedtankswhich the stressedcomponents are limited to a maximum of 1Ainch nominthickness, including any corrosion allowance stated by the purchaser.
MATERIALSThe most commonly used plate materials o t p b t sA 2 C A 2 C A 3 A 516-55, A 516-60The plate materials shall be limited to 4 inch thickness
WELDED JOINTSThe type of joints at various locations shall be:
Vertical Joints in ShellButt joints with complete penetration and complete fusion as attained by doble welding or by other means which will obtain the same quality of joint.
Horizontal Joints in ShellComplete penetration and complete fusion butt weld.
Bottom PlatesSingle-weldedfull-fillet lap joint or single-weldedbutt joint with backing stri
Roof PlatesSingle-weldedfull-fillet lap joint. Roof plates shall be welded to the top angof the tank with continuous fillet weld on the top side only.
Shell to Bottom Plate JointContinuous filletweld laid on each sideof the shellplate. The sizeof eachweshall be the thickness of the thinner plate.
The bottom plates shall project at least 1inch width beyond the outside edgethe weld attaching the bottom to shell plate.
INSPECTION
Butt WeldsInspection for quality of welds shall be made by the radiographic method.agreement between purchaser and manufacturer, the spot radiography maydeleted.
Fillet WeldsInspection of fillet welds shall be made by visual inspection.
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,.. 205
W S T SAPI. Standard 650, Eighth Edition, 1988
TESTING
Bottom Welds
1, Air pressureor vacuum shall be appliedusing soapsuds,linseedoil, or othersuitablematerialfor detectionof leaks,or2. After attachment of at least the lowest shell course water shall be pumped.underneaththe bottomanda headof6 inchesof liquidshallbemaintainedinsideatemporarydam.
Tank Shell1. The tank shall be filled with water, or2. Painting all joints on the insidewith highly penetrating oil, and examiningoutside for leakage3, Applying vacuum
APPENDICES OF API STANDARD 650
Appendix A — Optional Design Basis for Small TanksAppendix B — FoundationsAppendix C — Floating RoofsAppendix E — SeismicDesign of Storage TanksAppendix F — Design for Small Internal PressureAppendix H — Internal Floating RoofsAppendix J — Shop-Assembled Storage TanksAppendix K —Example of the application of variable design point procedure
to Determine Shell-Plate ThicknessesAppendix M — Tanks Operating at Elevated TemperaturesAppendix N — Use of Unidentified MaterialsAppendix O — Under-Bottom Connections
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WELDED STEEL TANKS, API. Std. 650 — APPENDIx A
FORMULAS
NOTATION G = specific
=H =
D = t = minimum required plateft. thickness, in.
E = joint efficiency,0.85 R = radius of curvature ofwhen spot radiographed roof, ft.0.70when not radio- 6 = angle of cone elementsgraphed with the horizontal, deg.
(2.6) (D) (H– 1) (G
@
t =(E) (21,000)
) + C.A.
but in no caseless than the following:
Meandiameterof Plate
tank, ft thickness,in.
~.-lSmallerthan50. .., ., . . . . . . . . . . . . %50 to 120, excl.. . . . . . . ... ., ... , ., ~120 to 200, incl.. . . . . . . . . . . . . . . . .. . . . ., ;
S H E L Lver 200 . . . . . . . . . . . . . . . . .. . . . . .
= 4 0 0 ~ i nbut not less than 3~6in,
* ~m:umt . ,,*in
SELF-SUPPORTING Maximum@ = 37 deg. 9:12 slopeCONEROOF Minimum6 = 9 deg. 28 min. 2:12slope
~,
r= R/200 but not less than ~lGin.
Maximumt= 1Ain,
D R= radius of curvature of roof, in feet.SELF-SUPPORTING MinimumR = 0.8D (unless otherwisespecifiedby the
D O M EN D
M R 1
T c ro h on gs q
T
i n c h e s ,l u sh er o s s - s e c t i o n a lr e at hr o o fl a t e si t h i nd i s t a n c ei mh eh i c
e s ,e a s u r e dr o mh e i ro s te m o to ia t
m e n t oh eo pn g l e ,h a l li n i m u
F o re l f - S u p p o r t i n g oe l f - S u p p oC o n eo o f s :o mnm b r o
~2 DR
T O PI N G,000 d 1,500
BOTTOMAll b o t t o ml a t e sh a l la v em i n i m uo m ih
n e s s f/ 4n .
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207
WELDEDSTEEL TANKSFOR OIL STORAGEAPL Standard 650, Eighth Edition, 1988
APPENDIX J – SHOP-ASSEMBLED STORAGE TANKS(Summary of major requirements)
SCOPE
This appendix provides design and fabrication specifications for verticalstorage tanks of such sizeas to permit complete shop assemblyand deliverytothe installation site in one piece. Storage tanks designedon this basis are not toexceed20 feet in diameter within the scope of API Standard 650.
MATERIALSThe most commonlyused plate materials of those permitted by this standard:A 36, A 283 C, A 285 C, A 516-55,A 516-60
WELDED JOINTSAs describedin Appendix A (seepreceding page) with the followingmodifica-tions:
Lap-weldedjoints in bottoms are not permissibleAll shell joints shall be full penetration butt-welded without the use of backupbars.
Top angles shall not be required for flanged roof tanks.Joints in bottom plates shall be full penetration butt welded.Flat bottoms shall be attached to the shell by continuous fillet weld laid oneach side of the shell plate.
BOTTOMDESIGNAll bottom plate shall have a minimum thickness of ?4 inch.Bottoms may be flat or flat-flanged.Flat bottoms shall project at least 1 inch beyond the outside diameter of the
weldattaching the bottom to shell.
SHELL DESIGNShell plate thickness shall be designed with the formula:(for notations seeAppendix A on preceding page)
(2.6) (D) (H– 1) (G) + ~ ~t =
(E) (21,000) “ “,but in no case shall the nominal thickness less than:
N o m i n a la n ki a m e t e ro m i n a ll a t eh i c k n e s( f e e t )i n c h e s )
up to 10.5, incl. . . . . . . . . . . . . . . . . . 3/16Over 10.5.... . . . . . . . . . . . . . . . . . . . . ‘ /4
ROOF DESIGNRoofs shall be self supporting cone or dome and umbrella roofs.SeeAppendixA for design formulas.
TESTINGApply 2 to 3 pounds per square inch internal air pressure.
I
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Summary of hiajorRequirements of
PIPING COD ES
(continuation from facing page)
NOTATION NOTES
A=1. The minimumthicknessfw the pipe
an additional thickness,in inchesto compcn sclcctcd. cunsidcringmanufacturer’s
satefor materialremovedin threading,groov- minus tolerance,shallnot be lessthaning etc., and to provide for mechanical t,n, The minus tolerancefur seam-strength,corrosionanderosion, lesssteelpipeis 12.5%of thenurninalFor cast iron pipe the following valuesof A pipe witl thickness.
shallapply: 2. Wheresteelpipe is threadedand used
Centrifugallycast . . . . . . . . . . 0.14 in. for steam service at pressureabove
Staticallycast . . . . . , . . . . . . 0.18 in. 250 psi, or for water serviceabove
c= the sum in inchesof the mechanicaldlow-100 psiwith watel temperatureabove
ancesithreador groovedepth)pluscorrosion220 F the pipe shallbe seamlesslav-
anderosionallowance, :ing the minimum ultimate tensile
d = insidediameter of the pipe in corrodedcon-strcngth of 4tt,0(XI psi and weight
dition, inchesat least equrd to Sch 80 of ANSIB36.JO, (Code ANS1 B31.1, Paris.
)&D. =outsidediametcfof pipe,inches
104.1.2 Cl)
~ = efficiency factor of weldedjoint in pipe(see 3. Pipingsystemsinstalledin openease-
applicablecode)For seamlesspipeE = 1.0 ments, which are accesibleto the
~ = for cast iron pipe castingquality factor Fgeneralpublic o: to individualsother‘than the owner of the pipingsystem
shallbeusedin placeof E or his employee or agent, shall be
P= internal designpressure,or maximum allow- designedin accordancewith USAS
ableworkingpressure,psig B31.8. (Code USAS B31.02, Para.
S = maximum allowable stressin materiistdue to2011
internal pressureat the designtemperature, 4. When not specificallyrequired by SI
psig. gasusing processor equipment, the
t = thicknessof pipe requiredfor pressure,nches maximum working pressurefor pip-
tm = minimum thicknessof pipe in inchesrequireding systemsinstalled in buildingsin-
fer pressureand to
compensatefor materitiltendedfor humanuseandoccupancy
removedfor threading,grooving,etc., Jndtu shallnot exceediO psig. (CodeUSAS
providefor mechanicalstrength,corrosionst~dB31.2, Para201.2.1)
erosion. 5. Everypi~ingsystcm,regardlessof an-
V&Y = coefficientsas tabulatedbelowticipatcd smviccconditionsshalllurvca designpressureof at least }0 psig
between the temperaturesof minus
20 F and 250 F, (Ct,idcUSASB31.2,Values of y & Y Para.201.2. 2,b.)
900‘ I I soTemperature and
6. Where the minimum wall thicknesss‘wd
1: belowin excessof 0.10 of the nominaldia-
9s0 1000 toso I boo above
I:rrrilic Steels 0.4 0.5 0.7 0,7 0.7 0.7meter, the piping systemshall meet
Austsnitic Stmek 0.4 0.4 0.4 0.4 0.5 0.7the rcquirem$nts of USAS B31.3.
h (CodeUSASB31,2, Para.203)
Note: For intermediateemperatureshevaluesmaybeintcr- 7. pip witht equaltoor,greaterthanY6, orpcdated.Fornonferrousmaterialsandcastron,yequals PISEgreaterthan0.385, requiresspecial0.4. consideration,rskingntoaccountdesign
I For pipe with a f)o/ftn ratio lessthari 6, Ihe valueof y and materialfactorssuch as theoryof
fur ferritic andaustcnilicsteelsdesignedfor temperatures failure, fatigue, and thermalstresrses.of ~900F d bCkrWdlti[] be tukcliiSS:
J’ “
(CodeB31.3, Para.304.1.2,b.)
8. pi~ ~nds s]M]I meet the flattening
limitationsof IheapplicableCode.
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210
S u m m a r y fa j o re q u i r e m e n t s
P I P I N GO D E S
pertainingtoPIPEW A L LH I C K N E S SN DL L O W A B L ER E S S U
C O D ES C O P E F O R M U L
A N S I3 1 . 4 - 1 9 9 2L I Q U I DE T R O L E U Mnternal Pressure
TRANSPORTATION PIPING SYSTEM t“=t+A
T h i so d er e s c r i b e si n i m u me -q u i r e m e n t so rh ee s i g n ,a t e r i a l s ,2s ,w h ec o n s t r u c t i o n ,s s e m b l y ,n s p e c t i o n ,n d~ .t e s t i n g fi p i n gr a n s p o r t i n gi q u i de t -
p p l i c a b ll l o w at
r o l e u mu c h sr u d ei l ,o n d e n s a t e ,s ic c o r d ai o
n a t u r a la s o l i n e ,a t u r a la si q u i d s ,i q u e -02.3.1 a, b, c, or d. For pipe
f i e de t r o l e u ma s ,n di q u i de t r o l e u ma t e r i a lS T5 Ba 1
p r o d u c t se t w e e nr o d u c e r s ’e a s ea c i f i -, S G 25,200 psi. at –20 F to
t i e s ,a n ka r m s ,a t u r a la sr o c e s s i n g 5
p l a n t s ,e f i n e r i e s ,t a t i o n s ,e r m i n a l s ,n d= p r e s s u re s iah i c
o t h e re l i v e r yn de c e i v i n go i n t s .h es eo t,
A N S I3 1 . 5 - 1 9 9 2 n t e r n a lr e s s u rR E F R I G E R A T I O NI P I N Gm =t+c c
ThisCodeprescribesmateriats,design, fabrication, assembly,erec- ; = z~) ‘r t = 2(s + -
t i o n ,
p = - , w h e
S = m a x i m ul l o w at mp a r a g r a p h s . t e r i aui n t er e
advised thatp i pa t e r i aS5 B a
p i p i n g nh e i re s p e c t i v eu r i s d i c t i o n s .A 1 0S s 1 5 , s1 FT h i so d eh a l l wp p l yo : 0( a )n ye l f - c o n t a i n e d rn i ty s t e m su b j e c t o
t h et = p r e s s u re s iah i c
o t h e ra t i o n a l l yc h eS eo t,
( b )a t e r E x t e r n a lr e s s u r
( c )i p i n ge s i g n e do rx t e r n a l h er e s s u re s ih i c k nsp r e s s u r eo tx c e e d i n g 5s i1 0 3& )e g a r d l e s se t e r m i n e da c c o r d ao fi z e . P a r a .0 4 . 1 . 3
A N S I3 1 . 8 - 1 9 9 2G A SR A N S M I S S I O NN D
D I S T R I B U T I O NI P I N GY S T E M S
T h i so d eo v e r sh ee s i g n ,a b r i c a -I n t e r n a lr e s s u rt i o n ,n s t a l l a t i o n ,n s p e c t i o n ,e s t i n g ,n dt h ea f e t ys p e c t s fp e r a t i o nn da i n -x F x E x T, wheret e n a n c e fa sr a n s m i s s i o nn di s t r i b u -t i o ny s t e m s ,n c l u d i n ga si p e l i n e s ,a s= s p e c i f i ei n i mit rc o m p r e s s o rt a t i o n s ,a se t e r i n gn ds i
r e g u l a t i n gt a t i o n s ,a sa i n s ,n de r v i c e oi pa t e r iS5 Bl i n e s p oh eu t l e t fh eu s t o m e r ’ s n1 0S = 3 5 ,m e t e re ts s e m b l y .s on c l u d e di t h -C = n o m i n aah i c ki nh ec o p e fh i se c t i o nr ea st o r a g e( S eo t e2 3 4 5e q u i p m e n t fh el o s e di p ey p ea bn c a t e d ro r g e dr o mi p e ra b r i c a t e df r o mi p en di t t i n g s ,n da st o r a g el i n e s .
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S u m m a r y fa j o re q u i r e m e n t s
P I P I N GO D E S
C o n t i n u a t i o nr o ma c i n ga g e
N O T A T I O N
A=
c =
d =
f ) &. =
h - =
s u m fl l o w a n c e ,n c h e so r
t h r e a d i n gn dr o o v i n g se -q u i r e dn d e ro d e ,a r a0 .4 . 2 ,o r r o s i o n se q u i r e du n d e ro d e ,a r a .0 2 . 4 . 1 ,a n dn c r e a s e na l lh i c k n e s si fs e d sr o t e c t i v ee a s u r eu n d e ro d e ,a r a .0 2 . 1 .
f o rn t e r n a lr e s s u r e ,h eu mo fl l o w a n c e s nn c h e st h r e a dn dr o o v ee p t h ,m a n u f a c t u r e r s ’i n u so l e r -a n c e ,l u so r r o s i o nn dr o -s i o nl l o w a n c e .
f o rx t e r n a lr e s s u r e ,h es u m nn c h e s fo r r o s i o na n dr o s i o nl l o w a n c e s ,l u sm a n u f a c t u r e r s ’i n u so l e r -a n c e .
i n s i d ei a m e t e r fi p e ,i n c h e s
o u t s i d ei a m e t e r fi p e ,i n c h e s
L o n g i t u d i n a lo i n ta c t o ro b t a i n e dr o mo d e ,a b l e8 4 1 . 1 2 .o re a m l e s si p e ,E = 1 . 0
V a l u e s fe s i g na c t o r
F
P &Pi =
s
tt
t“
tl =
i n t e r n a le s i g nr e s s u r e ,s i g
as describedat the formulas,and i np p l i c a b l eo d e ,s i .
a se s c r i b e d th eo r m u l a s ,i n c h e s
n o m i n a la l lh i c k n e s sa t i s -f y i n ge q u i r e m e n t so rr e s -s u r en dl l o w a n c e s ,u to tl e s sh a nh eo m i n a la l lt h i c k n e s si s t e d no d e ,T a b l e0 4 . 1 . 1 ,n c h e s
m i n i m u me q u i r e dh i c k n e s si nn c l w sa t i s f y i n ge q u i r e -m e n t so re s i g nr e s s u r en d
m e c h i i l l i c a l ,o r r o se r o s i o ni l l u w a n c
T = T e m p e r a t u r ee r a ta cf o rt e ei p
T e m p e r a t u r eD e g r e e sa h r e n h ea c
Y=
N O T E S
2 5 0o e s.3 0 00 .3 5 00 .4 0 0
F 0 .
N o t e :n t e r p o l anm e d i a t ea l u
c o e f f i c i e n toa t e rd i c a t e d :
F ou c t i lo n f e rt e r i a l se r r i tt e eut e n i t i ct e e l= 0 .
I { ) /r a n4 -
Y ‘ d +dD
f ou c t i lt e r i a
F or i t t la t e r iy = 0.0
1 . ne l e c t i o ni pha n u f a cm i n u so l e r a n ch at ac o n s i d e r a t i o n .hi no l ef o re a m l e s st e ei p1 2t h eo m i n a la lh i c k n ehe r a n c ea s el hp
2 .
3 .
4 .
5 .
fication is not available.
Pipe b e n d sh a le hl a tl i m i t a t i o n shp p l i c ao
C l a s s i f i c a t i o nL o c a t i oCB 3. 8 ,a r a4 1 . 0ol ad e s c r i b e db a s ior e s c rt y p e so n s t r u c t i o n
L i m i t a t i o ni pe saC o d e3 8t i r4 1 .
L e a s to m i n aa lh i c k nB 3 18 ,a b l4 1 . 1 4
T h eo r m u l a sne g u l a t i o n sx te dr o mm e r i c aa t i ot aC o d eo rr e s s u ri p iim i s s i o nhu b l i s h ehm eS o c i e t ye c h a n i c f ln g i n e
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213
R TU N D E RY D R O S T A T I CR E S S U R E
F l a t - w a l l e da n k su e oh e i re c h a n i c a l l yi s a d v a n t a g e o u sh a prsh y d r o s t a t i cr e s s u r en l y .h eu a n t i t y fa t e r i a le q u i r e doe c t a n g ua
h i g h e rh a no ry l i n d r i c a le s s e l s fh ea m ea p a c i t y .o w e v e r ,o m e t i mp pt i o n fe c t a n g u l a ra n k s sr e f e r a b l ee c a u s e fh e i ra s ya b r i c a t i onu t i l i z a t i o n fp a c e .
M A X I M U MI Z E
U n s t i f f e n e da n k sa y eo ta r g e rh a n 0u .t .n da n k si tt i f f e n i nf e e ta p a c i t y .
F o ra r g e ra n k s ,h es e ft a yo d s sd v i s a b l eo rc o n o m i ce a s o n s
R A T I O FI D E S
I fl li d e sr eq u a l ,h ee n g t h fn ei d e := @ ; w h e r e= v o l u
P r e f e r a b l ea t i o :o n g e ri d e :. 5 ;h o r t e ri d e( ) . 6 6 7
D E S I G N
T h eo r m u l a s nh eo l l o w i n ga g e sr ea s e d na x i m u ml l o w ae f l
L = t # ,h e r e .e n o t e sh eh i c k n e s s fi d e - p l a t e .
V a l u e s fa n d / 3
Ratio,~ or; 0.25 0.2$6 0.333 0.4 0.5 0.667(lmstant,~ - 0.024 0.031 0.041 0.056 0.080 0.116Constant,cr 0.00027 0.00046 0.00083 0.0016 0.0035 0.0083
Ratio,~ or? 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Constant,/3 0.16 0.26 0.34 0.38 0.43 0.47 0.49Constant,a 0.022 0.043 0.060 0.070 0.078 0.086 0.091
h e i g h t fa n k= l e n g t h fa n k= m a x i m u mi s t a n ce t wu p
W E L D I N G FL A T ED G E S
Somepreferable weldedjoints of plate edges:
LLT h et i f f e n i n g sa y et t a c h e d oh ea n ka l lw e l d i n gn da y el a c e dn s i d e ru t s i d e .
B I B L I O G R A P H YO t h e re s i g ne t h o d sr ef f e r e d nh eo l l o w i n ga p e r s :
V o j t a s z a k , .. :t r e s sn de f l e c t i o n fe c t a n g u l a r3
e i t h e r yn t e r m i t t e nc o n t
K
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RECTANGUI.AR TANKS
UNDER HYDROSTATIC PRESSURE
WITH TOP-EDGE STIFFENING
NOTATION= factordependingon ratiooflengthandheightoftank,H/L(SeeTable)
2 = modulusofelasticity,psi.;30,000,000orcarbonsteelG = spectlcgravityofliquid
H= heightof tank, inI =1 = maximumdistancebetweensupports,inchesL = length of tank, richesR = reactionwithsubscriptsindicatingthe location,lb./in.s = stressvalueofplate,psi.as tabulatedinCode,TablesUCS-23t = required plate thickness,inchest. =
t~ =
t* = thicknessof bottom, inchesw = loadperunit of length lb./in.
Y = deflectionof plate, inches
REQUIRED PLATE THICKNESS
,.Dl_ ‘
‘=’-/
B T h i c k n e s s ,m au s lb o t t o ml a ttn t iu rs u p p o r t e d .
T h i c k n e s s ,s h a li n c r ec o r r o s i v ee r v i c e
M a x i m u me f l e c t i op l a
6 ] ~
a 0 . 0H
H=
S T I F F E N I N GR A
0.036 Gl% R, = 0.3ww=
2 Rz = 0.7W~
-
Minimumrequiredmomentof inertiafortop-edgestiffening:
w H
I= W2Eta
~
B O T T OL AW H E NU P P O R T EB E
“ = *
M a x i m u mp a c i ns u p pa
I Bg i v e nh i c k n e sb o t t
4 I1 ~
1‘ 1 . ” 4 ’
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215
R E C T A N G U L A R A N K S
E X A M P L E S
D E S I G NA T A
C a p a c i t y fh ea n k :0 0a l l o n8 0u .t .p p r o x i m a t e l yC o n t e n t :a t e r ;= 1
T h ei d e fc u b e - s h a p e da n ko rh ee s i g n e da p a c i t y := 4 .P r e f e r r e dr o p o r t i o n fi d e s :
L = 4.31 x 1.5 = 6.47 ft. = 78 inchesH = 4 . 3 1. 6 6 72 . 8 7t .3 4n c h e sW i d t h fh ea n k. 3 1t .5 2n c h e s
s = 1 3 7 5 0 ,s i n g A8 5m a t e r i a lC o r r o s i o nl l o w a n c e :/ 1i n .
HIL = 34178 = 0.43; /3= 0.063
R E Q U I R E DL A T EH I C K N E S S
10.063X134x 10.036 x 1t = 78 = 0.18in
+0.0625 corr. allow = 1/4in.
S T I F F E N I N GR A M E
0.036 X 1 X 342 = R20.808 lbiin Ri = 0.3 x 20.808 = 6.24 lb/inw.
2 2 = 0.6 X 20.808 = 14.57 lb/in
6.24 X 784= 0.214 in4
~min= 192 x 3Q000,000 x 0.l~T5
1-3/4 x 1-3/4 x 3/16 (.18 in4)satisfactoryfor stiffeningat the top of the tank
B O T T O ML A T EH E NU P P O R T E D YE A M Si fu m b e r fe a m s4 ;= 2 6n c h e s
lb=
L 2 5 4 k 4 =“ 1 ’ 6n
O rs i n gh el a t eh i c k n e s s. 1 8 7 5 sa l c u l a t e db o v eha x is p a c i n go ru p p o r t s :
IB=1=4x0187’m “
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216
RECTANGULAR TANKS
WITH VERTICAL STIFFENINGS
N O T A T I O N
P = F a c t o re p e n d i n gn r a t i o fe n g t hn deight,lf/1(SeeTableon page 213)
E= m o d u l u s fl a s t i c i t y ,s i .If = heightoftankinchesI = momentof inertia,inq
= specificgravityof liquid?= themaximumdistancebetweens[iffcnings
on thelongeror shortersideof [hct a n k ,n c h e s .L = l e n g t h fa n k ,n c h e ss = s t r e s sa l u e fl a t e ,s i .t = r e q u i r e dl a t eh i c k n e s s ,n c h e s aa c t u a ll a th i c k n en
9 .9 -
“ ; ’ ~ l ” : : l l
1
L
R E Q U I R E DL A T EH I C K N E S S
t = ’ r
L O A D S ,b / i n
~ =. 0 3 6 G H 2, = 0.3W Rz = 007W2
—...
S T I F F E N I N GR A M E
R e q u i r e de c t i o no d u l u s fe r t i c a lt i f f e n i n
0 . 0 6 4 2 . 0 . 0 3 6H31z=
s
M i n i m u me q u i r e do m e n t f
Iti~ = ‘1 ‘4192 E t.
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R E C T A N G U L A RA N K S
W I T HE R T I C A LT I F F E N I N G S
E X A M P L E S
D E S I G NA T A
E = 30,000,000 psi
L = 78 i nontent:WaterH= 34 in G=l
B = 52 i n
s = 13570psi1 = 26 in
HI = : = 1.31: /3= 0.22
R E Q U I R E DL A T EH I C K N E S S
0.22 X 34 X 0.036 X 1 = o ~15 int = 26 X 1 3 7 5 0
+0.0625 corr. a l l o w3/16 i n
S T I F F E N I N GR A M E
0.0642 X 0,036 X 1 X 343 x 26z = = 0,172 in3
13750
2 x 2 x 3/16(.19 in3)satisfactoryfor verticalstiffening
0.036x 1X342 =2081b,in ~1
w= 2 . = 0.3 x 20.8 = 6.24
I = 6.24 X 784X X =
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RECTANGULAR TANKS
Under Hydrostatic Pressure
WITH HORIZONTAL STIFFENINGS
NOTATION
E = modulusof elasticity,psi.;30,000,000tor carbon steelG= SpeCifiCravityof liquid
H= heightoftank,inI = momentofinertia,in.4L = l e n g t h fa n k , i n c h e s
P = pressureofliquid,psi.R = r e a c t i o ni t hu b s c r i p t sn d i c a t i n gh ex t i o n ,b . / i ns = stressvalueofplate,psi.t = requiredplatethickness,nchest. =
L
S P A C I N G FS T I F F E N I N G SHI = 0.6H H2 = 0.4H
= 0.30.036 GH
T H I C K N E S S 1 s—
w = 0.036 GH2L O A Db . / i n . 2
R1 = 0.06 w Rz = 0.3 W Rz = 0.64 w
M r m o if t s
11= RI L4
O FN E R T I AO R 9 2taS T I F F E N I N G
M i n i m u me q u i r e do m e ni n e
f o rn t e r m e d i a t et i f f e n i n
1 2z L’=—
192 E to
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219
R EW I NS
E
DESIGNDATADesigned Capacity= 1,000gallon = 134cu. ft. (approx.)Content: waters = 13750psi.,usingSA285 C materialCorrosion allowance = 1/16in.
The side ofacube-shaped tank forthe designed capacity: 3~~= 5.12ft.Preferred proportion of sides:width = 0.667 x 5.12 = 3.41 ft; a p p r o x . 2n c h e sL = 1.500X 5.12 = 7.68ft; approx. 92 inchesH= 5.12ft; approx. 60 inches
For h 6 i n . ,s r
SPACING OF STIFFENINGS:
H1 = 0 . 6=36 i n .z = 0.4H = 24 in.
REQUIRED PLATE THICKNESS:
t = 0.3 x 600.036 X 1 X 60 = o 2X ~
13,750. .
+ 0.0625 corr. allow = 5/16 in.
LOADS:
w= 0.036 X 1 X 602 = ~ ~ ~b,k2
.
RI = 0.06 w = 3 . 8 9b / i n lz = 0.3 w= 19.44 lb/in
MINIMUM MOMENT OF INERTIA FOR STIFFENINGS:
11 =3 . 8 99 2 4
1 9 230,000,000 x 0.25= 0.4690 in4
12 =19.44x 924
192 X 30,000,000 X 0.25 = 0“967‘4
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T I EO DU P - P O R T
F O RE C T A N G U L A RA N K S
U n d e ry d r o s t a t i cr e s s u r e
T ov o i dh es e fe a v yt i f f e n i n g s ,h ei d e s fa r ga n kas u pm o s tc o n o m i c a l l y yi eo d s .
N O T A T I O N S
A= R e q u i r e dr o s se c t i o n a lr e a f
t i eo d ,q .n .a = h o r i z o n t a li t c h ,n .b = v e r t i c a li t c h ,n .G =p e c i f i cr a v i t y fi q u i dP= p r e s s u r e fi q u i d ,b .s =t r e s sa l u e fo da t e r i a l ,s i .4 + ‘
= r e q u i r e dl a t eh i c k n e s s ,n .; Ps t r e s sa l u e fl a t ea t e r i a l ,s i
*
R E Q U I R E DP L A T Ehen a- b t = 0.7~
VT H I C K N E S S P
L O A D N
T I EO DP=ab 0.036 Gh
R E Q U I R E DR O S SS E C T I O N A LR E A A =
O FI EO D
E X A M P L E
D E S I G NA T A
L e n g t h = 3 0t . ,i d t h = lf t . ,e i g h t = lf t .
a = 6 0n .hl = 60 inb = 6 0n .G= 1 hz = 120inS = 20,000 psi.S = 2 0 , 0 0 0s i . 15’
Sp= 20,000 psi
0 . 0 3 61 x 120t = 0.7 x 60
20,000
= 0.625 = 5/8 in. plateP *a b 0 . 0 3 6 G h 26 0 x 6 0 x 0 . 0 3 6 x 1 2 0 =5 , 5 5 2b .
A Z1 5 , 5 5 20 . 7 7 8q .n .1 $o d s
20,000
PI = ab0.036Gh1 = 60x60x0.036x60= 7,776 lb.
Al = 7,776 = om389Sq.in. = 3/4 # rods20,000
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l I.
C
Vesselsor parts of vesselssubject to thinningby corrosion,erosionor mechanicalabrasion shall have provisionmade for the desired life of the vesselby suitableincrease in the thickness of the material over that determined by the designformulas,or by usingsomeother suitablemethodfor protection(code LJC-25bi).
The tie doesnot prescribethe magnitudeof corrosionallowanceexceptforvesselswitha requiredminimumthicknessof lessthan 0.25in. that are to be usedin steam,wateror compressedair seMce, shallbe providedwithcorrosionallowanceof not lessthan one-sixthof the requiredminimumthickness.The sumof the requiredminimumthicknessand corrosionallowanceneed not exceed1/4in. This requirementdoesnotapply to vessel parts designedwith no x-rayexaminationor seamlessvessel parts
designedwith0.85jointefficienq. (CodeUCS-25).
Forothervesselswhentherateofcorrosionispredictable,thedesiredlifeofthevesselwilldeterminethecorrosionallowanceand if theeffectof thecorrosionis indetermi-nate, thejudgmentof thedesigner.Acorrosionrateof 5 roilsperyear(1/16in. = 12years) is usuallysatisfactoryfor vesselsand piping.
The desired life time of a vessel is an economicalquestion. Majorvesselsareusually designedfor longer (15-20 years) operating life time, whileminorvesselsfor shorter time (8-10 years).
Thecorrosionallowanceneednot be the samethicknessfor allparts of thevesselifdifferentratesof attackare expectedfor thevariousparts (CodeUG-25c).
Thereare severaldifferentmethodsformeasuringcorrosion.Thesimplestwayis theuseof teltaleholes (CodeUG-25e) or corrosiongauges.
Vesselssubjectto corrosionshallbe suppliedwithdrain-opening(CodeUG-25f).
All pressurevesselssubject to iintemalcorrosion,erosion,or mechanicalabrasionshallbe providedwith inspectionopening(CodeUG-46).
Toeliminatecorrosion,corrosionresistantmaterialsareusedas liningonly,or fortheentirethicknessof thevesselwall.
Therulesof liningareoutlinedin theCodeinPartUCL,ApendixFandPar.UG-26.
The vessel can be protectedagainst mechanicalabrasionby plate pads whichareweldedor fastenedby othermeansto the exposedarea of the vessel.
In vesselswherecorrosionoccurs,all gaps andnarrowpocketsshallbe avoidedbyjoining partsto thevesselwallwith continuousweld.
Internalheadsmaybe subject to corrosion,erosionor abrasionon both sides.
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SELECTIONOF CORROSION RESISTANT MATERIALS
T h ea b u l a rn f o r m a t i o n nh eo l l o w i n ga g e s st t e m p
a
a
Footnotes have been generously used to explain and further clarify information ctained in this table. It is most important that these notes be carefully read when usthe table.
In rating materials, the letter “A” has been used to indicate materials which
generally recognized as satisfactory for use under the conditions given. The letter “signifiesmaterials which are somewhat less desirable but which may be used where a lrate of corrosion is permissible or where cost considerations justify the use of aresistant material. Materials rated under the letter “C” may be satisfactory under certconditions. Caution should be exercised in the use of materials in this classificatunless specific information is available on the corroding medium and previous experiejustifies their use for the service intended. The letter “X” has been used to indicmaterials generally recognized as not acceptable for the service.
Information on metals has been obtained from the International Nickel Compathe Dow Chemical Company, the Crane Company, the Haynes-Stellite Compa
“Corrosion Resistance of Metals and Alloys” by McKay & Worthington, “Metals aAlloys Data Book” by Samuel L. White, “Chemical and Metallurgical Engineering” a“The Chemical Engineers’Handbook,” Third Edition by McGraw-Hill.
-
aH o w e v e r ,o m er a d eru c c e s s f
a
a cper and
a
a n dl e c t r i c a lo n d u c t i v i t y .
—
)
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223
by anyi sh e m i c a l l yt a b l eo 6 170F but, being a plastic, it is not recommended
unless confined a
* Sources of D a t a :- A r m s t r o n g- D -E - & J - P .
S - U -
”
—
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C h e m i c a l
C R O M
Resistance Ratings: A n Good;F G F
C a u t i o n : oo ts eable c = C a u t i od e p ec o n
w i t h o u te a d i n go o t n o t e sn de x t .= N oe c o m m e n d
v ~ v:o
~ &7 + + * ; ;
~z : “ Ew ~ ~ 35 m E
b - : i : ~ 2c w ~ ~ : “ :g ; & g g ;
& 2 ‘ 3G : z 2 z $ ~ $ 3 $
4 c e t i cc i d ,r u d e............................ c c F c F A c c c c c c A AP u r e ..................................................... x c F c F A F A A F A c A AV a p o r s....................... ........... .......... -c F c F c c c c c x c A A1 5 0b / s q . i n .4 C ) O * F . . . . . . . . ... ......... x - x x F c - c c - A c A A
4 c e t i cn h y d r i d e . . . . . .. ............ ........ c F F A ,A A A A F A A A Aa c e t o n e . . . . . . . ................ ............ ............ A A A A A A A A A A A A A Aa c e t y l e n e . . . . . ..........................................A x A A A - A A A A A A4 1 u m i n u mh l o r i d e....................... ... x c c x c c c c c x c x A A2
.... .................... x F F A c c c c F A A A A A4 1 u n l s . . . . . . . . .............................................. x F F A F F c - c A A c A -4 ~ n ~ s r i aa s ,r y . ............................ F A A A A A - A A A A A A
............................ ........... ........... F x x A x c c A c A A A A -i m m o n i u mh l o r i d e........................ F x x A x c A c A c c c A &immonium hydroxide ................. ...... A x x A x A c A : : ; A A A
........................... F x x x x A - - - A A.................... c c c A c c : ~ ; : : :
.............................. F c c A c F.............. ............... A x x - x x - - A A A A A
... ....... ............. – - - - - - - - A A A A A A.................................... - - - - - - A - - c c - F
h y d- - x x x A - - A A – A -..................................... - - - A x - - - A A A A - -
......................................................... c - A - A A A A A A A A - A.............................. c – - – A c A A A A A A A A
t e n z c n c ,2 e n z o l . . . . . . . ........................... A A A A A A A A A A A A A Al e n z i n e ,e t r o l e u mt h e r ,a p h t h aA A A A A A A A A A A A AI I a c ku l f a t ei q u o r....................... .... A - F F x - A A A A A - A -I o r i cc i d .............................................. x A A c c A - - c A A A A A
.......................................... x c c - c x c c c x x x c A
2. 12S0 maximum.All Perrentj;
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C R O G( S E EH E M I C A L S NP P O S I T EA G E
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226
C R O M
A F G
c = C a u t i od e p ec o nw i t h o u te a d i n go o t n o t e sn de x t .G N oe c o m m e n d
u ~20 t
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F A A A A A A A A A A A A......... ............... .. ...... c A A x - A A A A A A A A
...... ... .. c c F F c F A A A c A c A AZ h & o : ~ n e ,r y .... ............... ........ A A A A A x A A x x
........ ........... .... .....................x x c F c x x x x x c x xZ h r o m i cc i d ............... ................ c x x A x c c c c c c x c A~ i t r i ccid..-..--.~..-..-._.-....-----x A A A c F F A A A A A A AZ t h e r s . . . . . . . . ... ....... ......................... c A A A A A A A A A A A AZ t h y l e n el y c o l - . . . . . . . . . . . . . . . . . - . . - . . . . ,A A A A A A A A A A A A‘erric chloride . ...................... .... x x x x x x x x x x c x x I‘ e r r i cu l f a t e............... ............... x x x A x F , ,c x A A A A Af o r m a l d e h y d e. . . .. . - - ........ . F i tA — A c A A A c c c A A‘ o r m i cc i d .. .................. ........... . x A A - c x F F F A A c A A: r e o n ,r y....... .. ........ ... ............. A A A A A A A A A A A A A A‘ u r f u r a l................................ .. ......A A c - - A A A A A A A A A;asoline, sour-----------------------------x x A x A A A c A A A A AR e f i n e d................... .... ...... .. .... A A A A A A A A A A A A A
; l y c e r i n ,l y c e r o l........... .... .. .... A , ,A A A A A A A A A A A AH y d r o c h l o r i cc i d , lO ” F . . . - . . . .c c c c x c c F x x x A A$ y d r o f l u o r i cc i d ,o l d ,6 5 % .x x F x x c c A x x x F A> 6 5 %x x c x x c – A x x x F
x x x x x x x x A x x xx x x x x x c c A x x x cA A A A A A A A A A A A A A
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R e s i s t a n c ea t i n gA = ( l On F
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-----------------------------------------------x x - x A c c c c A A AL a c q u e r ss o l v e n t s ).................. c c c A c A A A A A A A AL a c t i cc i d ....................... ............. x A A – c F c c c c A A AL u b r i c a t i n gi l s ,e f i n e d............ A A A A A A A A A A A A AM a g n e s i u mh l o r i d e................... F F F x F F A , , ,c c Ak f a g n e s i u my d r o x i d e... .......... A c c - x x A A A A A A -M a g n e s i u mu l f a t e............... ..... c A – - A c A A A A A - Atiercury......-.......................-..-......., x x - x x A – A A A – –~ a t u r a la s . .......... ..................... A c c A c x A A A A A A A{ i t r i cc i d ,r u d e............... ....... . x x x x x A nc x A . A A
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C R O G( S E EH E M I C A L S NP P O S I T EA G E
R e s i s t a n c ea t i n g s :a m e sa c i n ga g
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230
C h e m i c a l
C R O M
R e s i s t a n c ea t i n g sD G oD FC a u t i o n : oo ts ea b l e= C a u t i od e p ec o nw i t h o u te a d i n go o t n o t e sn de x t .x c N oe c o m m e n d
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; o d i u mitrate ...................... A A A A A A A , , ,A A A c
i o d i t l me r o x i d e..................... c c - - - A A - A A -; o d i u mu l f ae . . . . . . . . . . . . ............. A A A A t 7A A Z z zA A ~ ;; o d i u mU Ii d e ......................... A c c A c x c A A A Aiodium th iosulfate, “ h y p e ” . .Z 9c A c c – – - A A A A .itearic acicl...... ...................... F A A A c , ,l lA A A A A~ulfur.........................................., A A F - c A A A A c c c A A,ulfur dioxide, dry.................., A A A A A A A A A c A c A Au l f u ri o x i d e ,e t . ................ x F F A A c x F x c A c A .u l f u r i cc i d ,1 0 % ,o l d ...... x c c A c x c c F c A x A AH o t . ........................................ x x x A x x x x c x x x A A1 0 - 7 5 % ,o l d ........................ x x x A x x c c c c c c A AH o t . ....................................... x x x A x x x x F x x – A A7 5 - 9 5 % ,o l d ....................... A c c A c x – - A F A c A AH o t . ........................................ A – x A - x x x c x c x A –F u m i n g................................ A – – A c A , ,
u l f u r o u sc i d ........................ XF F A F F c E ; e
~ A‘ a r t a r i cc i d ............................ X c – A – A c c A – A *‘ o l u e n e _ . . . . . . ............................ A A A A A A A A A A Ar i c h l o r o e t h y l e n e ,r y . ......... A A A F A AA A c AW e t . ..................................... X F F – c cu r p e n t i n e . . . . . .......................... C c c A C Ai i i iJ a t e r ,r e s ht a p ,o i l e rf e e d ,t a , )............................... A A A A A xA A A A? a t e r ,e aa t e r................... c A -A Cc A c Ai h i s k e yn di n e s................. X c c - AA A A Ai n ch l o r i d e........................... X x x A x x– c Ainc sulfate ............................... C c c – – – A F A A
N o t e so n t i n u e d np p o s i t ea g e
All Percenls;7 0 8 .Gas;
bf S
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231
C R O G( S E EH E M I C A L S NP P O S I T EA G E
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1: : - - - - - - – . — —A – A c c c x x x c ? i 2 t t ~ t 5 ~ A A
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* S e ee x t the f r o n ta g e fh e s ea b l e s .
2 0 .—
– b o i l t30”. 32.—
i n c r e a s e ~h ena r t;
UJ e ij
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232
F C
THE TABLES BELOW ARE FOR DATA OF FABRICATING CA}) ACITIES OF THE SHOPWHICH HAVE TO BE KNOWN B YH EE S S E LE S I G N E R .HO L U MAEENLEFT OPEN AND ARE TO BE FILLED IN BY THE USER OF THIS HANDBOOKACCORDING TO THE FACILITIES OF THE SHOP CONSIDERED.
MAXIMUM MAXIMUM MINIMUMWIDTH in. THICKNESS i nIAMETE; R i
ROLLINGPLATES
TENSILETRENGTHOFPLATE p s i .
NOTE:
FOR MATERIAL OF HIGHER
STRENGTH THE THICKNESS
OR WIDTH OF THE PLATE
MUST BE REDUCED INDIRECT PROPORTION TOTHE HIGHER STRENGTH
MAXIMUM MINIMUMSIZE DIAMETER in
3
LEGIN
QLEGOUT
MINIMUM MINIMUM
SIZE DIAMETER in
.%
LEGIN
Q
LEGOUT
MAXIMUM MINIMUMSIZE DIAMETER in
ROLLING BEAMS
MAXIMUM MINIMUMSIZE DIAMETER i
ROLLING CHANNELSQ
FLANGESIN
QFLANGES
OUT
MAXIMUM MINIMUMSIZE
ROLLING FLAT BARDIAMETElln
QON
EDGE
R O L L I N GN G L E S
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233
F C
NOMINALSCHEDULE
MINIMUMPIPE S1zi? RADIUS in.
BENDINGPIPES
PLATE MiNiMUM PLATE MINiMUM
THiCK~ESSn. iNSiDE THICKNESS nNSiDERADIUS in. RADiUS
BENDINGPLATESWITHPRESSBRAKE
PLATE MAXiMUM PLATE MAXiMUM
DIAMETER“ri-ilCKNEssn. ::AHMoELTHiCKNESSn. OFHOLEn
PUNCHINGHOLES
vliNiMUMNSiDEDiAMETER3E’VESSELAccessible FOR inches
iNSIDEWELDING
TYPES OF WELDINGSAVAILABLE
FURNACES FOR STRESS WIDTH ft. HEIGHT ft. LENGTH ft
RELIEViNG MAX. TEMPERATURE F.
A
I
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234—
P I P EN DU B EE N D I N G
I ne n d i n gp i p e ru b e ,h eu t e ra r t fh ee nt r e t c h
s e c t i o no m p r e s s e d ,n d sh ee s u l t fp p o s i t enn e q ut r e sp
o rube
practice
bending
when a
member
tends to flatten or collapse. To prevent such distortion, the common
is to support the wall of the pipe or tube in some manner during the
operation. This support may be in the form of a filling material, or,
bending machine or fixture is used, an internal mandrel or ball-shaped
may support the inner wall when required.
MINIMUM R4DIUS: The safe minimum radius for a given
and method of bending depends upon the thickness of the
possible, for example, to bend extra heavy pipe to a smaller
diameter, material,
p i ab
r a d h
standard weight. As a generalrule, wrought iron or steel pipeof standardweigh
may readily be bent to a radius equal to five or six times the nominalpipe dia-
meter. The minimumradius for standardweightpipe should,as a rule, be three
and one-half to four times the diameter. It will be understood, however,that
the minimumradiusmayvary considerably,dependingupon the method of bend-
ing. Extra heavy pipemay be bent to radii varyingfrom two and one-halftimes
the diameterfor smallersizesto three and one-halfto four times the diameterfor
largersizes.
d
R
( 3 f i od )
S t a n d a r di p e
d
R
( 2 %o 4d)
E x t re a vi
MINIMUMR4DIUS
*FromMachinery’sHandbook, Industrial Press, Inc. - New York
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23
PIPE ENGAGEMENTLENGTHOF THREAD ON PIPE TO MAKE A TIGHT JOINT
I Nominal I Dimension [ Nominal I DimensionPipe A Pipe ASize inches Size inches
I1/8
I1/4
I3-1/2
I1-1/16
II 1/4 I 3/8 I 4 I 1-1/8 II 3/8 I 3/8 I 5 I } I
I 1/2 I 1/2 I 6 I 1-5/16 I
I 3/4 I 9/16 I 8 I 1-7/16 I
I 1 I 11/16 I 10 I 1 -II 1-1/4 I I 12 I 1-3/4 I
I 1-1/2 I 11/16 II 2 I 3/4 I
I 2-1/2 I 15/16 I
D I M E N S I O N S OO TL L O WO RA R I A T I O NI NA P P I N G RH R E A D I N G
DRILLSIZESFORPIPETAPS
Nominal Tap Nominal TapPipe Drill Pipe DrillSize Sizein. Size Sizein.
1 / 81 / 3 2 2 - 3
1/4 7/16 2-1/2 2-9/16
3/8 19/32 3 3-3/16b
I 1/2 23/32 3-1/2 3-11/16
3/4 15/16 4 4-3/16
1 1-5/32 5 5-5/16
1-1/4 1-1/2 6 6-5/16
1-1/2 1-23/32
-
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236
BENDALLOWANCES
For 900 Bends in Low-Carbon Steel
Metal Bend Allowance Inches With Inside Radius (r) in.Thickness
(t) in. 1/32 1/16 3/32 1/8 1/4 1/2
0.032 0.059 0.066 0.079 0.093 0.146 0.2540.050 0.087 0.101 0.114 0.129 0.168 0.2760.062 0.105 0.118 0.132 0.145 0.183 0.2900.078 0.128 0.142 0.155 0.169 0.202 0.3100.090 0.146 0.160 0.173 0.187 0.217 0.3240.125 0.198 0.211 0.224 0.243 0.260 0.3670.188 0.289 0.302 0.316 0.329 0.383 0.4430.250 0.382 0.395 0.409 0.424 0.476 0.5190.313 0.474 0.488 0.501 0.515 0.569 0.6760.375 0.566 0.580 0.593 0.607 0.661 0.7680.437 0.658 0.672 ~ 0.685 0.699 0.752 0.8600.500 0.750 0.764 0.777 0.791 0.845 0.952
r&I ‘1
4
=a+b+c– w=a+b+c+d– w=a+b+c+d+e–
ben~~l~o~~n~e (2 x end allowance) (3x bend allowance) (4x bend allowance)
Note: w = developed width (length) of blank, t = metal thickness,r = inside radius of bend.
EXAMPLE: Carbon steel bar bent at two places.The required length of a 1/4 in. thick bar bent to 90 degrees with 1/4 in inside
radius as shown above when the sum of dimensions a, b and c equals 12 inches, is12 -(2x 0.476)= 11.048 inches
MINIMUMRADIUS FOR COLD BENDING:The minimum permissible inside radius of cold bending of metals when bend lines
are transverse to direction of the final rolling, varies in terms of the thickness,t from 1-1/2 t up to 6 t depending on thickness and ductility of material.
When bend lines are parallel to the direction of the final rolling the above valuesmay have to be approximately doubled.
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237
LENGTH OF STUD BOLTSFOR FLANGES *
1. Length of the stud bolts do not include the heights of the point.
(1.5 times thread pitch)
2. Plus tolerance offlg. thk’s.
Sizes 18in. &smaller 0.12in.Sizes20 in. andlarger O.19 in.
3. Minus tolerance ofstud length
Forlengths upto 12’’incl. O.O6in.For lengths over 12“ to 18” incl. 0.12 in.For lengths over 18” 0.25 in.
4. Rounding.offto the next larger 0.25 in. increment.
5. Gasket thickness for raised face, M & F and T & G flanges 0.12 in. For ringtype joint see table page 346 and take half of the dimensions shown, sincein dimension “A” only half of the gasket thickness is included.
*Extracted from American National Standard :
ANSI B16.5 - 1973 Steel Pipe Flanges and Flanged Fittings.
1
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238
P V D
IN THE PRACTICE THERE A R EE V E R A LI F F E R E N TA YD E TP R E S S U R EE S S E L SB YA K I N GH ER A W I N G SL W A YTM E T H O D ,O N S I D E R A B L EI M EA N EA V E DN DL SHO S S I BE R R O R SR EE S S .H EE C O M M E N D E DE T H O DHO L L ORP R A C T I C A LN DE N E R A L L YC C E P T E D .
HORIZONTALVESSELS4
f3nd View 1- Ref.line
w
ELEVATION
Saddle
MIS~~~~~SEOUS GENERALSP~~EC~~CA-
1 TITLELOCK~
L
END VIEW
A. Select the scale so that aopenings, seams, etc., cabe shown without makinthe picture overcrowdor confusing.
B. Show right-end viewnecessary only for claritbecause of numerous connections, etc., on headsIn this case lt is not necessary to show on botviews the connections etcin shell.
C. Show the saddles separately, If showing them on thend viewwould overcrowthe picture. On elevatloshow only a simple i
ure of saddle and hcenterlines.
D. Locate davit.
E. Locate name plate.
F. Locate seams, after everth.mg 1sm place on elevtion. The seams have tclear nozzles, lugs an
saddles.G. Show on the elevation an
end view a simple lcturFf opemngs, internas, etc
lf a se arate detad has tte ma e for these.
H. Dimensioning on the elvation drawing. All loctlons shall be. shown wittaded chmenslons measued from the reference linThe distance from ref. lin~odbeshown for one sadd
Y
The other sadd
sha 1. be located showinthe dimension between th;-w$~~ bolt holes of th
I. Two symbolic bolt hol
$~aytdy tlgn%~le~~t~straddling the parallel linwith the principal centelines of vessel.
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239
P R E S S U R EE S S E LE T A I L I N Gc o n t .
A. Select the scale so tVERTICAL VESSELS
+ ‘ - E*r i e n t a t i o nl e v a t i o n a s e
G e n e r a lM I S C E L L A N E O U SE T A I L Sp e c i f i -
c a t i o n s
[TII le Block
b
m S 3
Em
. .
@ : ---u
ORIENTATION PLAN
B.
c.
D.
E
F
G.
openings, trays, seams,etc., can be shown with-out making the pictureovercrowded or confusing.
If the vessel diameter iunproportionally small tothe length, draw the widthof the vessel in a l as c a lh a p nf o le t a i
T hr i e n t a tn at oi e wus c h e
i n f o r m a t i ob oc a t i on o z z lt
S h o hr i e n t
degrees: 00, 900, 1800,
2700 and use it in thesame position on all otherorientations.
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240—
PRESSURE VESSEL DETAILING (cont.)
Nozzle on 00
Top or ~ottom ~—+
,
1~1800
( J O
1800
H.
J.
K.
L.
M.
It is not necessary to showinternals on vesselorienta
tion if their position iclear from detail drawingor otherwise.
Draw separate orientationfor showing different internals, lugs, etc. if thereis not space enough toshow everything on one
For vessels with conicasections, show 2 orientations if necessary, one fothe upper section, one fothe lower section.
Two, symbolic bolt holesshown in flanges makclear that the holes arstraddling the lines paralle
with the principal center
lines of vessel.
If there is a sloping traypartition plate, coil, etcin the vessel,showin theorientation the directioof slope.
(JO
27oo ..
w
t
1 8 owestPoint ofPlate “D
ORIENTATIONS
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2
PREFERRED LOCATIONSOf VesselComponents and Appurtenances
I I
r-.
I
1
.,
&
I
%’
+
IH
3_u N.
. + .
v A
A.
B.
c.
D.
E.
F.
G.
H.
J.
K.
L.
M.
Anchor bolts straddle principal centerlines ofvessel.
Skirt access openings above base minimum toclear anchor lugs, maximum 3’-0”.
Skirt vent holes as high as possible.
Name plate above manway or liquid level con-trol, or level gauge. If there is no manway,
5’-0” above base.
Lifting lugs - if the weight of the vessel is uni-form, “E” dimension is equal .207 times the
overall length of vessel.
Manway 3’-0” above top of platform - floorplate.
Insulation ring must clear girth seam and shallbe cut out to clear nozzles, etc.
Insulation ring spacing 8 - 12 feet” (approx.length of metal jacket sheet).
Girth seams shall clear trays, nozzles, lugs.
Long seams to clear nozzles, lugs, tray down-comers. Do not locate long seamsbehind down-comers. Seams shall be located so that visualinspection can be made with all internals inplace. Longitudinal seams to be staggered1 8 0 0 fo s s i b l e .
Ladderand platformrelation.
Davit and hinge to be located as the manwayi sost accessible, or right hand side.
Ladder rung level with top of platform floorplate. The height of first rung above basevaries,minimum 6“, maximum 1’-6”.
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242
COMMON ERRO RSin detailing pressure vessels
A.
1.
2.
B.
c.
D.
E.
Interferences
Openings, seams, lugs, etc. interfere with each other. This can occur:When the location on the elevation and orientation is not checked. Thepracticeof not showingopeningsetc. on the elevationin their true positionmayincreasethe probabilityofthis mistake.
The tail dimensionsor the distancesbetween openingson the orientationdo not show interference,but it is disregarded,that the nozzles,lugsetc.havecertain extension. Thusit can take place that:
a .
b .
c .
d .e .
f .
3 .
Skirt accessopening does not clear the anchor lugs.Ladder luginterferes with nozzles.The reinforcing pads of two nozzles overlap each other.
Reinforcing pad covers seam.Vessel-davit interferes with nozzles. This can be overlooked especially ithe manufacturer does not furnish the vessel-davititself, but the lugsonly.Lugs,open%gs, etc. are on the vesselseam.There is no room on perimeter of the skirt for the required number ofanchor lugs.
Particular care should be taken when ladder, platform, vesseldavit etc., areshown on separate drawings, or more than one orientations are used.
Changes.
Certain changes are necessary on the drawing which are earned out on the elevation. but not shown on the orientation or reversed. Making changes, it iadvisableto askthe question: “Whatdoesit affect’?”
For example:
Thechangeof materialaffects: Billof materialScheduleof openingsGeneralspecificationLegend
Thechangeof locationaffects: OrientationElevationLocationof internals
Locationof other components.
ShowingO.D.(outside diameter)insteadof I.D.(insidediameter)or
Dimensionsshownerroneously:l’4Yinsteadf 10”2~0’insteadof 20’etc.
Overlookinghe requirementof specialmaterial
reverse
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2
PRESSURE VESSEL DETAILING (cont.)
\
D E S I G NA X .A XH Y
W O R K I N G .& C T
P R E S S U R ES I G .
T E M P E R A T U R EF .
a .
zL I M I T E D Y
o
z W I N DR E S S .B S / S Q .T .O R R O S I O NL L O WN
u ‘c S E I S M I CO E FI C IN T
A D I O G R A P H I CE x A M I N A T I O N
8E R E C T I O NS H I P P I N G )O N G I T U D I N A LO IW E I G H TS S .E F F I C I E N C Y
W E I G H TU L LP O S TE L DE AW /A T E RB S . R E A T M E N T1 1 0 0
O P E R A T I N GE I G H TB S .
5 A
T Y P
T H K . T H
F L A N G E S K I T
~ N O Z Z L EE C KB A S E
E* B O L T I N G A N C H .O Laz c o u pI N G S A D D L E S
.WF
G A S K E T
P A I N T
t
I
A P P R O X .V E S S E L S S H I P P I N GR E Q U IE D : W E I G H TB S
1
.
.
m
-
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m
I
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Detailingopeningsas shownon the oppositepagewithdataexemplifiedin the scheduleofopeningsbelow, eliminatesthe necessity of detailing every single opening on the shop
drawing.
Y
c-1 2 “0 & ?~ f .– - - - – — 29Z” MIN. v - yg- Nw. -
A/-f /lvLET 3 “0 0 ’ . .( I Y .( H A343 — — 8 “ MlIv. // /~ yd” M//u.-
M-l /%llvw/ly /8’ 3 0 0 = . . H&” S* 53-49 24*X~2“ S/l 5 ~ 5 - 7 00 ” “&/.
M D M a b cSEnVICE SIZE RATING TYPE BORE O
R WE L O SI ZE
1 L
E L E O F G S
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246
TRANSPORTATIONOFVESSELS
1.
2.
Shipping capabilities and limitations.
TRANSPORTATION B TRUCK.
The maximum size of loads which maybe carried without special permits
a. weight approximately 40.000 Ibs.
b. width of load 8 ft., Oin.
c. height above road 13 ft., 6 in. (height of truck 4 ft., 6 in. to 5 ft., Oin.)
d. length of load 40 ft., Oin.
Truck shipments over 12 ft., Oin. width require escort. It increases considera-bly the costs of transportation.
TRANSPORTATION BY R41LROAD.
Maximum dimensions of load which may be carried without special routing.
a. width of load 10 ft., Oin.
b. height above bed of car 10 ft., Oin.
With special routing, loads up to 14 ft., O in. width and 14 ft., O in. heightmay be handled.
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247
PO FT E E LU R F A C E S
P U R P O S ET h ea i nu r p o s e fa i n t i n g sh er e s e r v a t i o n fs t e e lu r f a c eha e
t h eo r r o s i o n. , yr e v e n t i n gh eo n t a c t fo r r o s i v eg e n t sr ohe s su r
2 . , yu s tn h i b i t i v e ,l e c t r o - c h e m i c a lr o p e r t i e s fh ea i n ta t e r i a l
T h ea i n t su s t eu i t a b l e oe s i s th ef f e c t s fh en v i r o n m e n te m
a b r a s i o nn dc t i o n fh e m i c a l s .
S U R F A C ER E P A R A T I O N
T h er i m a r ye q u i s i t eo rs u c c e s s f u la i n to b sh ee m o v a li lc au
g r e a s e ,i ln do r e i g na t t e r .i l lc a l e sh el u i s h - g r a y ,h i ca yi r x
w h i c ho r m s nt r u c t u r a lt e e lu b s e q u e n t oh eo to l l i n gp e r a t i ot
s c a l e sn t a c tn dd h e r e si g h t l y oh ee t a l , tr o v i d e sr o t e c t i ot ht
e v e r ,u e oh eo l l i n gn di s h i n g fl a t e s ,o m p l e t e l yn t a ci lc as ee n c o u n t e r e d nr a c t i c e .
I fi l lc a l e so ta d l yr a c k e d ,s h o pr i m e ri l li v eo n gi fm in v i r o n
p r o v i d e dh a th eo o s ei l lc a l e ,u s t ,i l ,r e a s e ,t c .r ee m o v e d .
E C O N O M I CO N S I D E R A T I O N S
T h ee l e c t i o n fa i n tn du r f a c er e p a r a t i o ne y o n dh ee c h n i c as p en a t
a p r o b l e m fc o n o m i c s .
T h eo s t fa i n t so r m a l l y5 - 3 0 % re s s fh eo s t fa i n t i ns t r u c t
a d v a n t a g e fs i n gi g hu a l i t ya i n t sp p a r e n t .i x t ye r c e nm ote x p e n s e fp a i n to bi e s nh eu r f a c er e p a r a t i o nn dho sp r e p a r
d i f f e r e n te g r e e s sa r y i n g np r o p o r t i o n ft o0 - 1 2 .ox a m ps a n d b l a s t i n g sb o u t0 - 1 2i m e si g h e rh a nh a t fh ea n di rr u s h i
o fu ~ f a c er e p a r a t i o nh o u l d ea l a n c e dg a i n s th en c r e a s e di ft he s s
S E L E C T I O N FA I N TY S T E M ST h ea b l e s nh eo l l o w i n ga g e se r v e su i d e s oe l e c thr o pa i n ya n ds t i m a t eh ee q u i r e du a n t i t y fa i n to ra r i o u se r v i co n d i t i o
t a b u l a t e dh e r ea v ee e na k e nr o mh et e e lt r u c t u r e sa i n t i no u n cp e
t i o n sn de c o m m e n d a t i o n s .
C o n s i d e r i n gh ee v e r a la r i a b l e s fa i n t i n gr o b l e m s ,d v i s a br e q
a s s i s t a n c e fa i n ta n u f a c t u r e r s .
S P E C I A LO N D I T I O N S
A B R A S I O NW h e nh ea i n t i n gu s te s i s tb r a s i o n ,h eo o dd h e s i o nho a t ip a r t i
i m p o r t a n t .o ra x i m u md h e s i o n ,l a s tl e a n i n g sh ee snl si c ks af a c t o r y .r e t r e a t m e n t su c h so th o s p h a t e ra s hr i m e rrx c e l lt
and rougheningthe surface.
Urethane coatings,epoxies and vinyl paints have very good abrasion resistance.rich coating,and phenolicpaints are also good. Oleoresinouspaintsmay developgreaterresistanceby incorporationof sandreinforcement.
Z
m
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248
H I G HE M P E R A T U R E
B e l o we m p e r a t u r e s f0 0 - 6 0 0 ° F ob t a i ng o o du r f a c eoo a t ih
t r e a t m e n t sa t i s f a c t o r y .b o v e0 0 - 6 0 0 ° Fblast cleaned surface is desirable.
Recommended Paints:
u po 2 0 0 -5 0
2 0 0 -0 0
3 0 0 -0 0
3 0 0 -5 07 0 0 -0 0
8 0 0 - 1 2 0 0
C O R R O S I V EH E M I C A L S
Oil base paints limited periodAn alkyd or phenolic vehicleSpeciallymodified alkyds
Colored siliconesInorganic zinc coatings above 550 FBlack or Aluminum siliconesAluminum silicones up to 1600-1800 FSilicone ceramic coatings
See tables I and V for the selection of paint systems.
THE REQUIRED QUANTITY OF PAINTTheoretically, one gallon of paint covers 1600 square feet surface with 1 mil (0.001 incthick coat when it is wet.
The dry thickness is determined by the solid (non volatile) content of the paint, whic
can be found in the specification on the label, or in the supplier’s literature.
If the content of solids by volume is, for example, 60%, then the maximum dry covera(spreading rate) theoretically will be 1600x .60-= 960 square feet. -
THE CONTENT OF SOLIDS OF PAINTS BYVOLUME$%
% %
1 5
2
3 &
4 70 15 71 6
5
6 Black Alkyd Paint 3Varnish Paint 103 Black Phenolic Paint 5
8 Aluminum Vinyl Paint 14 104 White or Tinted Alkyd Paint, 47 - 59 White
70 106 Black
In practice, especially with spray application, the paint never can be utilized at 10percent. Losses due to overspray, complexity of surface (piping, etc.) may decrease th
actual coverage to 40-60$Z0,r even more.
.
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- .
P A I N T I N G
T A B L E ,A I N TY S T E M S
zSystem
co
Paint and Dry Thickness, Mi]s
Number.- E-
:?= ;= See Table IV
s C ~ 1St 2nd 3rd ::h, & :;::.Ps ~ 0:
WL+ @Coat Coat Coat
ness
i 104 104
(:?7) (I.3) (12 Not 14 104 104
Condensation, chemical fumes, brine drip- (1’.;) 5.0pings and Other extremely corrosive con- or Req’d 104ditions are Q present (1‘7) (i .3) (1
3 I I
( I
I I
(
I
Steel surfaces exposed to the weather, (lc5) ( IC5) 5.0
high humidity, infrequent immersion in 6 Not 104 104fresh or salt water or to mild chemical (1?) (1.5) (1a or R I
( ( I .5) (18 E I
( I
Steel s exposed to alternate im-mersion. high humidity and condensation 5, 6, I , 2, 5, or 6 5. or 6 I03 5, 6or to the weather or moderately severe 8, or 3, or ( 1.5) ( I .5) ( I or 103chemical atmospheres or immersed in 4 *fresh water
Immersion in salt water or in many chem-ical s c severe G 9 9weather exposure or chemical atmos- (1G5) 5.5pheres
Fresh water immersion, condensation,4.02 very severe weather or chemical atmos- 10 Not H H H
pheres Req’d (lHs) 6.0
Complete or alternate immersion in salt 6water, high humidity, condensation, and or 3 9 8exposure to the weather 8 ** ( 1 5) 4,0
404 Condensation, or very severe weather ex- 6 Notposure, or chemical atmospheres or 8 Req’d (192) 9 9 9 4.5
4,05 Condensation, severe weather, mild chem- 6 3]cal atmospheres or 8 ** (1:5) F F 4,0
I3 (1% G G G (2.0) 7.0
Steel vessels t s 6p f w f w 3 (1?) G G
w 6;r G6.03 8 3 (1.5) G G L K 6.25
Dry, non corrosive environment, inside n o m i n a lof b t w ct ing Req’d (1
Longtime protection in sheltered or in- 1and8.01 accessible places, short term or temporary Not M ,/
2 orR ( )p in corrosive environments
3(wet)
Corrosive or chemical atmospheres, but9.0 I should not be used in contact with oils, 6
Not 12Req‘d 63 63
solvents, or other agents
10.01 Underground and underwater steeJ struc- ~ Nottures R ( ) ) )
U u d
1c e r
60
p w or for high tempera- Req’d (1 -18) (25) (8 5) 35ture
*Four coats are recommended in severe exposures **The dry film thickness of the washcoat 0.3-0.5 roils.
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250
T A B L E ,A I N TY S T E M Sc o n t i n u e d )
G ; P a i nnh i c koils{stem o.- E- See Table IVImber Uz=Ob ;=sPc- gbl
: 1 2nd 3rdPs ,Zg coat Coat
?J&~Coat & :: t ;;:-
Fresh or sea water immersion, tidal andsplash zone exposure, condensation, bur- 6
INot
ial in soil and exposure of brine, crude oil, :; Req’d (’l:) (’l:)
sewageand alkalies, chemical fumes, mistsHigh humidity or marine atmospheric ex- Zinc-rich coatings comprise a number ofposures, fresh water immersion. With different commercial types such as:
I~,oo proper topcoating in brackish and sea- chlorinated rubber, styrene, epoxies,water immersion and exposure to chemi- polyesters, vinyls, urethanes, silicones,cal acid and
I Epoxy Paint Systemsubject to chemical exposure such as acidand alkali.
T A B L EI I ,R E T R E A T M E N TP E C I F I C A T I C I N S
R e f e r e n c e
t o i t l en du r p o s ep e c i
T a b l e N u
1 W E T T I N GI LR E A T M E N T S S P-6Saturation of the surface layer of rusty andscaled steel with wetting oil that is compatiblewith the priming paint, thus improving the adhes-ion and performance of the paint system to be
applied.2 C O L DH O S P H A T EU R F A C ER E A T M E N TS
C o n v e r t i n gh eu r f a c ef steel to insoluble saltsof phosphoric acid for the purpose of inhibitingcorrosion and improving the adhesion and per-formance of paints to be applied.
3 BASICZINCCHROMATE-VINYLBUTYRAL
WASHCOAT(Wash Primer) SSPC-PT3-6Pretreatment which reacts with the metal and atthe same time forms a protective vinyl film whichcontains an inhibitive pigment to help prevent
rusting.4 HOT PHOSPHATE SURFACE TREATMENT SSPC-PT4-6
Converting the surface of steel to a heavy crysta-llinelayex of insoluble salts of phosporic acid forthe purpose of inhibiting corrosion and improvingthe adhesion and performance of paints to beapplied.
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2 .
P A I N T I N G
T A B L E IS U R F A C ER E P A R A T I O N~ ~ l F I C A T I O N S
% e f e r e n c e
t o i t l en du r p o s e p e c i f i c
T a b l eN u m
1 S O L V E N TL E A N I N G S 1-63
Removalof oil, grease, dirt, soil, salts, and con-taminantswith solvents,emulsions,cleaningcom-pounds,or steam.
2 HANDTOOLCLEANING SSPC-SP2-63Removalof loose mill scale,looserust, and loosepaint by hand brushing,handsanding,handscrap-ing,hand chippingor other hand impact tools,orby combinationof thesemethods.
3 POWERTOOLCLEANING SSPC-SP3-63Removalof loose mill scale,looserust, and loosepaint with power wire brushes, power impacttools, power grinders,power sanders,or by com-binationof these methods.
4 FLAMECLEANINGOF NEWSTEEL SSPC-SP443Removal of scale, rust and other detrimentalforeign matter by high-velocityoxyacetyleneflames,followedby wirebrushing.
5 WHITEMETALBLASTCLEANING SSPC-SP5-63Removalof all mill scale,rust, rust-scale,paint orforeignmatter by the use of sand,grit or shot toobtaina gray-wh~te,uniformmetalliccolor surface.
6 COMMERCIALLASTCLEANING SSPC-SP6-63Removalof mill scale, rust, rust-scale,paint or
foreign matter completelyexcept for slight sha-dows, streaks, or discolorationscaused by rust,stain, mill scaleoxidesor slight,tight residuesof
7paint or coatingthat may remain.BRUSH-OFFBLASTCLEANING SSPC-SP7-63Removalof all except tightly adheringresiduesof mill scale, rust and paint by the impact ofabrasives. (Sand, grit or shot)
8 PICKLING SSPC-SP8-63Completeremovalof allmill scale,rust, andrust-scaleby chemicalreaction, or by electrolysis,orby both. The surface shall be free of unreacted
or harmfulacid, alkali,or smut.10 NEAR-WHITEBLASTCLEANING SSPC-SP10453TRemovalof nearly all mill scale,rust, rust-scale,paint, or foreign matter by the use of abrasives(sand,grit, shot). Very light shadows,veryslightstreaks, or slight discolorationscaused by ruststain,millscaleoxides,or slight,tight residuesofpaint or coatingmayremain.
I
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252 .
P A I N T I N G
T A B L EW ,A I N T S
: fr e n c e
t o a t e r i a l N u m
~ a b l e
1 Red Lead and Raw Linseed Oil Primer 1-64TN0. 12 Red Lead, Iron Oxide, Raw Linseed Oil and
Alkyd Primer 2-64 No. 2
3 Red Lead, Iron Oxide, and Fractionated LinseedOilPrimer 344TN0. 3 m
4 E x t e n d e de de a d ,a wn do d i e di n s e e di
P r i m e r 4 - 6 4 :
5 Z i n cu s t ,i n kx i d e ,n dh e n o l i ca r n i s ha i n-64T No. 5 +
6 R e de a d ,r o nx i d e ,n dh e n o l i ca r n i s ha i n- 6 4 <
8 A l u m i n u mi n y la i n t 8-64 No. 8 :
9 W h i t eo ro l o r e d )i n y la i n t9-64 No. 9 ~
1 1e dr o nx i d e ,i n ch r o m a t e ,a wi n s e e diand Alkyd Primer 11-64TN0. 11 :
12 Cold Applied Asphalt Mastic (Extra Thick Film) 12-64 No. 12 ~
13 Red or Brown One-Coat Shop Paint 13-64 No. 13 m
14 Red Lead, Iron Oxide & Linseed Oil Primer 14454TNo. 14 “
15 Steel Joist Shop Paint 15%8TN0. 15 &
16 CoalTar Epoxy-Polyamide Black (or Dark Red) Paint 16-68TN0. 16 ~
102 Black Alkyd Paint 102%4 No. 102103 BlackPhenolic Paint 103-64TNO. 103104 White or Tinted Alkyd Paint, Types I, II, III, IV 10444 No. 104106 Black Vinyl Paint 106-64 No. 106107 Red Lead, Iron Oxide and Alkyd Intermediate Paint 10744TNO. 107
.— Paint; Red-Lead Base, Ready-Mixed
A Type I red lead-raw and bodied linseed oil TT-P-86C ;ZB Type II red lead, iron oxide, mixed pigment- z.~
alkyd-linseedoil TT-P-86C ~zc Type 111red lead alkyd TT-P-86C 32D Primer; Paint; Zinc Chromate, alkyd Type TT-P-645 z~E Paint; Zinc Yellow-Iron Oxide Base, Ready ~
Mixed, Type II-yellow, alkyd MIL-P-15929B ~F Paint; Outside, White, Vinyl, Alkyd Type MIL-P-16738B ~G Primer; Vinyl-Red Lead Type MIL-P-15929B ~H Vinyl Resin Paint VR-3 a
LgI Paint; Antifouling, Vinyl Type MIL-P-15931A I
J Paints; Boottopping, Vinyl-Alkyd, Bright Red *
Undercoat and Indian Red Finish Coat MAP44 +X
K Enamel, Outside, Gray No. 11 (Vinyl-Alkyd) MIL-E-1593513 .5L Enamel, Outside, Gray No. 27 (Vinyl-Alkyd) MIL-E-15936B ~M Compounds; Rust Preventive 52-MA602a ~N CoalTar Enamel and Primers MIL-P-15147C jo CoalTar BaseCoating MIL-C-18480A ~P Coating, Bituminous Emulsion MIL<-15203c
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2
P AN TN C
T A B L E ,H E M I C A LE S I S T A N C E FO A T I N GA T E R I
Acetaldehyde . . . . . . . . 1 2 1 1 1 1 3 2 2 3 3 2 3Acetic acid, 10% . . . . . . 1 2 1 1 1 1 4 3 3 4 4 3 4A c e t i cc i d ,l a c i a l. . . . 1 2 1 1 1 1 4 3 3 4 4 3 4Acetone . . . . . . . . . . . . 3 3 3 1 1 1 4 4 4 4 4 3 4Alcohol, amyl . . . . . . . . 1 1 1 1 1 1 4 3 3 3 3 2 3A l c o h o lu t y l ,o r m a l .. 1. 1 1 1 1 1 3 2 2 2 2 1 3Alcohol, ethyl . . . . . . . . 1 1 1 1 1 1 2 1 1 1 1
A l c o h o l ,s o p r o p y l. . . . 1 1 1 1 1 1 2 1 1 1 1A l c o h o l ,e t h y l .. . . . . 1 1 1 1 1 1 2 1 1 1 11A l u m i n u mh l o r i d e .. . . 1 1 1 2 2 2 4 1 1 3 1 3A l u m i n u mu l p h a t e .. . . 1 1 1 1 1 1 4 1 1 2 2 1 2Ammonia, liquid . . . . . . 1 1 1 3 2 2 3 1 3 3 1 3A m m o n i u mh l o r i d e .. . 1 1 1 1 1 1 3 1 1 3 3 1 2Ammonium hydroxide . . 1 1 1 3 2 2 3 1 3 3 1 3A m m o n i u mi t r a t e .. . . 1 1 1 1 1 1 3 1 1 3 3 1 2A m m o n i u mu l p h a t e .. . 1 1 1 1 1 1 3 1 1 3 3 1 2Mdline. . . . . . . . . . . . . 2 3 2 2 4 44 2 4Benzene . . . . . . . . . . . . 4 4 4 1 1 1 3 3 3 4 4 3 4Boric acid . , . . . . . . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1Butyl acetate. . . . . . . . . 1 1 1 1 1 1 3 4 4 3 31C a l c i u mh l o r i d e. . . . . 1 1 1 1 1 1 2 1 1 2 2 1 2
C a l c i u my d r o x i d e .. . . 1 1 1 2 1 1 2 1 1 2 1 2C a l c i u my p o c h l o r i t e. . 1 2 2 3 2 2 4 1 1 2 21C a r b o ni s u l p h i d e. . . . 4 4 4 1 1 1 4 4 4 4 4 3 4C a r b o ne t r a c h l o r i d e .. . 4 4 4 1 1 1 4 4 4 4 4 4 4Chlorine gas . . . . . . . . . 1 2 2 4 4 4 4 2 1 4 4 3 4C h l o r o b e n z e n e .. . . . . . 4 4 4 1 1 1 4 4 4 4 4 4 4Chloroform. . . . . . . . . . 4 4 4 1 1 1 4 4 4 4 4 4 4C h r o m i cc i d ,0 %. . . . 2 2 2 4 3 3 4 2 2 4 4 2 4C h r o m i cc i d ,0 %. . . . 2 2 2 4 3 3 4 2 2 4 4 2 4Citric acid. . ; . . . . . . . . 1 1 1 1 1 1 2 1 1 2 1 2C o p p e ru l p h a t e .. . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1Diethyl ether. . . . . . . . . 4 4 4 1 1 1 4 4 4 4 4 4 4Ethylene glycol . . . . . . . 1 1 1 1 1 1 2 1 1 1 11Ferric chloride. . . . . . . . 1 1 1 1 1 1 3 1 1 3 3 1 3
Ferric sulphate. . . . . . . . 1 1 1 1 1 1 2 1 1 2 2 1 2F o r m a l d e h y d e ,0 %. . . 1 1 1 1 1 1 3 1 1 2 2 1 3F o r m i cc i d ,0 % .. . . , 1 1 1 1 1 1 3 1 1 2 2 1 3F o r m i cc i d ,o n e .. . . . 1 1 1 1 1 1 3 1 1 2 1 3Gasoline . . . . . . . . . . . . 4 4 1 1 1 1 2 1 1 4 2 4Glycerine . . . . . . . . . . . 1 1 1 1 1 1 2 1 1 1 1H y d r o c h l o r i cc i d ,0 % .1 1 1 1 1. 1 3 1 1 3 3 1 3H y d r o c h l o r i cc i d ,0 % .1 2 2 1 1 1 3 1 1 3 3 1 3H y d r o c h l o r i cc i d ,o n e .1 2 2 1 1 1 3 1 1 3 3 1 3H y d r o f l u o r i cc i d ,0 %. 1 2 1 1 1 1 3 2 2 2 21H y d r o f l u o r i cc i d ,0 %. 1 2 1 1 1 1 3 2 2 2 2 1 3
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P A I N T I N G
T A B L E ,H E M I C A LE S I S T A N C E FO A T I N GA T E R(continued)
H y d r o f l u o r i cc i d ,5 %. 1H y d r o g e ne r o x i d e ,% .1H y d r o g e ne r i o x i d e ,0 % .H y d r o g e nu l p h i d e. . . . 1H y p o c h o l o r o u sc i d. . . 1Kerosene . . . . . . . . . . .4L u b r i c a t i n gi l .. . . . . . 4M a g n e s i u mu l p h a t e. . . 1M e t h y lt h y le t o n e. . . 1Mineral oil . . . . . . . . . .4Nitric acid, 5%. . . . . . . . 1Nitric acid, 10% . . . . . . 2N i t r i cc i d ,0 % .. . . . . 2N i t r i cc i d ,o n e .. . . . . 3N i t r o b e n z e n e .. . . . . . . 4Oleic acid . . . . . . . .. ..3Oxalic acid . . . . . . . . . . 1Phenol, 15-25% . . . . . . .Phenol . . . . . . . . . . . . .P h o s p h o r i cc i d ,0 %. . 1P h o s p h o r i cc i d ,0 %. . 1P h o s p h o r i cc i d ,o n e .. 1Potassium alum . . . . . . . 1P o t a s s i u my d r o x i d e ,0 %P o t a s s i u my d r o x i d e ,5 %P o t a s s i u me r m a n g a n a t e2P o t a s s i u mu l p h a t e .. . . 1Sea water . . . . . . . . . . . 1Silver nitrate . . . . . . . . . 1. S o d i u mi s u l p h a t e. . . . 1S o d i u ma r b o n a t e .. . . . 1S o d i u mh l o r i d e .. . . . . 1S o d i u my d r o x i d e ,0 % .1S o d i u my d r o x i d e ,0 %1S o d i u my d r o x i d e ,0 %1
S o d i u my p o c h l o r i t e .. . 1Sodium nitrate. . . . . . . . 1S o d i u mu l p h a t e .. . . . . 1S o d i u mu l p h i t e .. . . . . 1S u l p h u ri o x i d e .. . . . . 1S u l p h u r i cc i d ,0 %. .1S u l p h u r i cc i d ,0 %. . . 1S u l p h u r i cc i d ,0 %. . . 1S u l p h u r i cc i d ,o n e. . . 2Toluene . . . . . . . . . . . . 4T r i c h l o r o e t h y l e n e. . . . 4
212
:44114
;2
:31
111122211111
;22
21111111
11111111211
;
:2
;31111111111111111
11111111
2 24 44 4
:3
:1111
:4
:1111
111
:4311114
:44
41111111111
i2
;1111122331111
111122211112
;22
31111111111
;2
:1111122331111
11
1122211112
;22
31111111111
3 23 13 22 14 12 12 12 14 42 14 14 24 24 23 . 33 22
33
324
32
;
:
;44
42222333334
1
11
111
;111111111
1111111
;
:
2121111141
:22321
11
111
;111111
111
1111111
;
:
23323442343344442
33
32223211221122
32222233
:4
2332
:42343344442
33
32223211221
122
32222233344
2
:1
1221121
:2321
11
111
;111111111
111111111
:
3442444
2343
:44424433
3233421224
;33
42222233344
N
m
vc
8
m
.
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255
CHECKL F I
1.
2.
3.
4.
5.
6.
CodesandAddenda..............................................................................
Drawings:a)
b)
c)
d)
e)
9
‘“All info& detailsrequiredbyQCManual shownon drawing. . . .
Headscorrectlyidentified..... . . . . . . . . . . . . . . . . . . . . . . . ..---.All metalcorrectly identified. . . . . . . . . . . . . . . . . . . . . . . . ------Nameplate facsimiliestampedcorrectly:MAWP,MDMTandRT.............................................. ..................Approvalby fabricator(on drawing)..............................................Revisionsormetalsubstitutionshownandapproved. . . . . . . . . . .
Bill ofMaterial:
a )
b )
c )d )
e )
Allmaterial identifiedas SAor SB ----------------- . . . . . . .RequirementsofUCS 79 (d) specifiedwereapplicable. . . . . . . . .
Requiredmaterialtest reports specified ..ti.-....=. ----- . . . . .Shoporder,serialnumber,and/orjob numbershown. . . . . . . . . .
Materialrevisionorsubstitu~on approvedandshownwhenapplicable... ... . ....... ... ....~..~--.-..”.””.....~.”-””
Calculations:
9
Dimensionsusedmatchdrawing ....................................................
Correctstressvaluesandjoint efficiencies(S &E) used.. . . . . . .
Correctformula&dimensions used for heads ----------------Do nozzleneckscomplywithUG-45? -..--..-..---.-.=. . . . .Requiredreinforcementcalculationsavailablefor all openings. . .
Specialflangeorstructural loadingcalculationsavailable . . . . . .
IdentificationwithS/Oor S/Nandapprovedby fabricator. . . . . .
Externaldesignpressurecorrect-templatecalculations&template available. .... ... .... . .. ... ... .. ... ... .... .. ...MAWP&MDMT matchesdrawingand specifications.MDMTcorrect formaterials used(UCS-66,UHA-51). . . . . . . . .
P Oa Is job n s ( a ......................................b) C~rrectspecification(SAor SB) used ............................................c) USC 79(d) & UG 81 requirements specified as applicable ............
d) Material Test Reports requested .......................................... . . .e) Immaterial ordered identical to Bill of Materialor drawing requirements? ...............................................................
Welding:al Are correct WPS(s) shown ondrawin~s? ................. ””””..”...””””.”.”””.”b> Are complete weld-details for all welds shown on drawing? .........c) Are copies of WPS(s) available to shop
d=
s u p e r v i s o ror instruction? ..............................................................E
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256
CHECKLISTFORINSPECTORS(corztinuec/)1 I
d)
e)f)
g)
h)
i)
Isa Welder’sLogandQualificationDirectorykeptup-to-dateandavailable? . . . . . . . . . . . . . . . . . . . . . . . . . . . .AreWPS,PQR,& WPQformscorrectandsigned?......................Areweldersproperlyqualifiedfor thickness,position,pipediameterandweldingwithno backing(whenrequired)?...............
Is sub-arcflux,electrodesand shieldinggas(es)usedtsameas specifiedonapplicableWPS?...........................................Do weld sizes(fillet& butt weldreinforcement)complywithdrawingand Coderequirements?...............................Is welderidentificationstampedor recordedper
QC Al
QCManualand./orCode requirements?.......................................... I
a)
b)
c)
d)
e)
o
3)
h)
i)
7. Non-DestructiveExamination& Calibration:AreSNT-TC-lAcmalificationrecordswithcurrentvisualexaminationavail~blefor all RT techniciansused? ....................... .Do filmreadersheetsor checkoff recoid~sbo.wfilm.intemretationby a SNT’-~CLeve1I or II examiner.or interpreter?..................................................................................
Are the requirednumberof filmshots in the properlocationsfor thejoint efficiencyandweldersused(UW-11,12,& 52)? ........................................................................Is an acceptablePT and/orMT procedureandpersonnelqualifiedandcertifiedin accordancewithSec.VIII,Appendix6 or 8 available?.............................................................Is the PTmaterialbeingused the sameasspecifiedinthePT procedure?........................................................Do all radiographscomplywithidentification,density,penetrameter,and acceptancerequirementsof Sect.VIII andV? ........................................................................For 1331.1fabrication,is a visualexaminationprocedureand certifiedpersonnelavailable? ................................. ,
Aretestedgasesmarkedor identifiedandcalibratedas statedin QCManual? ................................................Isa calibratedgage sizeperUG-102availablefor demovessel?.............................................................................. I I
ABBREVIATIONS:AI Authorized Inspector
MAWP Maximum Allowable Working PressureMDMT Maximum Design Metal Temperature$; Quality Control
Radiographic Examinations/N Serial NumberSlo Shop OrderWl?s Welding Procedure Specification
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257
PART II.
GEOMETRY AND LAYOUT OF PRESSURE VESSELS
1. GeometricalFormulas........................................................................... 258
2. GeometricalProblemsandConstmction....... .. . - . . . ...68
3. Solutionof RightTriangles .................................................................. 270
4. OptimumVesselSize............................................................................ 272
5. Flat RingsMadeof Sectors .................................................................. 274
6.
7.
8.
9.
Fustrumof ConcentricCone................................................................. 276
Fustrumof EccentricCone ................................................................... 278
Bent andMiteredPipes ........................................................................ 280
Intersections..........................................................................................281
10. Drop at the Intersection of Vessel and Nozzle ..................................... 291
11. Table for Locating pointS0n2:l Ellipsodial Heads ............................ 293
12. Length of Arcs ...................................................................................... 297
13. Circumferences and Areas of Circles ................................................... 300
1 4 .p p u r t e n a n c e s........................................................................... 312
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258
G E O M E T R I C A LO R M U L A S
( S e ex a m p l e s nh ea c i n ga g e
l ’ %
S Q U A R E
A =r e a
A = a2
b ~= 1 . 4 1 4 a
. = ;
a = 0 , 7 0 7 1o r= -
b
B
R E C T A N G L E
A =r e a
A =x b
b d = ~ ~
a = - r= $
b = - 2A
or b = —a
bP A R A L L E L O G R A M
A =r e a
D J
A =x b
o= A
aT
= Ab y
A
R I G H T - A N G L E DR I A N G L E
c A =r e a. ~ ~ ’
o 900axb b ‘I/==
,6, A=, ~=
a2 +b2
A C U T EN G L E DR I A N G L E
[ A
A =r e ab
h .
w ; : \
sO B T U S EN G L E DR I A N G L E
*
A =r e a
b x h* A = ~
“ w: ~ s ( : s ; ; ~ : : s - b ’’ s - c )s
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260
G E O M E T R I C A LO R M U L A S
( S e ex a m p l e s nh ea c i n ga g e
R I G H TR I A N G L EI T H4 5N G L
[ ~
A = A r e a
h Aa 2= —2
b = l e 4 1 4 a
a h = 0 . 7 0 7 1a = 1 . 4 1 4 h
E Q U I L A T E R A LR I A N G L E
m
A =r e a6 e
a x hA =
&h = 0.866 a a = 1.155 h
uT R A P E Z O I D
D : (
A =r e a
- c a + )
w ‘= 2
R E G U L A RE X A G O N
@
A =r e a
A R=a d i u s fi r c u m s c r i b e di r c l
= R a d i u s fn s c r i b e di r c l ef 2 0i =. 5 9 8 z2 . 5 9 8 z3 . 4 6
R = a = 1.155 rr = 0 . 8 6 6= 0 . 8 6 6a = R = 1,155 r
R E G U L A RC T A G O N
A =r e aR =a d i u s fi r c u m s c r i b e di r c lr = R a d i u s fn s c r i b e di r c l eA =. 8 2 8 z2 . 8 2 8 z3 . 3 1R =. 3 0 7= 1 . 0 8 2r = 1 . 2 0 7= 0 . 9 2 4
a = 0 . 7 6 5= 0 . 8 2 8
@ J
R E G U L A RO L Y G O N
A =r e a= N u m b e rs i dr ’
a = “= ~go” – a
,(3 ~r
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261
EXAMPLES
(See Formulas on the Facing Page)
RIGHT TRIANGLE WITH 2 45° ANGLES
Given: Side a = 8 in.
Find: a2 82 64Area A=~ =7 = ~= 32sq.-in.
Side b = 1.414a = =
h = 0 . 7 0 7 1= 0 . 7 0 7 18 = 5 . 6 5 6 8n
E Q U I L A T E R A LR I A N G L E
Given: Side a = 8 in.
F i n d := 0 . 8 6 6a = 0 . 8 6 68 = 6 . 9 2 8n
a x hArea A = ~
8 X6 . 9 2 85 5 . 4 2 42
— = 2 7 . 7 1q . - i2
T R A P E Z O I D
Given: Side a = 4 in., b = 8 in., and heidt h = 6 in.
F i n d :a + )
Area A = z= ( 4 + 8 ) X= 3 6 q
2.- .
R E G U L A RE X A G O N
Given: Side a = 4k.
F i n d :rea A = 2 . 5 9 8a 22.598 x 4 24 1 . 5 6 8- i n
r = 0 . 8 6 6a = 0.866 x 4 = 3.464 in.
R = a = 1.155 r = 1.155x3.464=4 in.
REGULAR OCTAGON
Given: R= 6 in., radius of circumscribed circle
Find: Area A = 2.828 R2 = 2.828 x 62 = 101.81 sq.-in.
Side a = 0.765 R = 0.765 x 6 = 4.59 in.
REGULAR POLYGON
Given: Number of sides n = 5, side a = 9.125 in.Radius of circumscribed circle, R = 7.750
Find:r=m=-v= 625ino
nraArea A = ~ =
5 X6.25 X9.1252.
= 142.58 sq.-in.
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262
G E O M E T R I C A LO R M U L A S
( S e ex a m p l e s nh ea c i n ga g e
@
C I R C L E
A =r e ai r c u m f e r e n c ed
A= r2 x ~ = rz x 3.1416 z x
d x= d x. 1 4 1 6
L e n g t h fr co rn g I e= 0 . 0 0 8 7x a
v
C I R C U L A RE C T O RA =r e a= A r c= A n
A =‘ 2X &
a<
r x a x 3 . 1 4 1 6a =
1 8 05 7 . 2 9 6a=— . 2A
rr
Y
Q
C I R C U L A RE G M E N T
A =r e a =n g l e= C o
A =r e a fe c t o ri n u sr et r i a n:
< c = 2r x sin aT
a
w
E L L I P S E
A =r e a= P e r i m e t e r
+* A =x a x b3 . 1 4 1 6a x b— .
A np p r o x i m a t eo r m u l aoe t i e t
P = 3 . 1 4 1 6 { 2a zb z
x
Q 4
E L L I P S EL o c a t i n go i n t s nl l i p s e
a~ L — =
+b cR a t i o fi n o rx im a jx
— . —
x = az - ( 2C x y2 )
u
mY = c —
D
0 d ~ ( w
D 0
0N = the required number of holes (diam, d) of
which total area equals area of circle diam. D.
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2
EXAMPLES
(See Formulas on the Facing Page)
CIRCLEGiven: Radius r = 6 in.
A = r2x ~ = =
A = = 12ZX0.7S5Q =
C = d x = x =if a = 60°
= d x a x x =
CIRCULARSECTORGiven: Radius T = 6 in., =
Area A = r2 ~ x ~ = 62 x ~ x ~ = 18.85 Sq. h.
a = r x x = 6 x x =
a = x a = x =r 6
C I R C U L A RE G M E N T
Radius r = 6 in., a =
A=
ar2 x ~ x — . x X ~ =
A =
Chord c = 2r x sin ~ = 2 x 6 x sin ~ = 2 x 6 x 0.7071 = 8.485 in.
E L L I P S E
Half axis, a = 8 in. and b = 3 in.
Area A = ~ x a x b = 3.1416 x 8 x 3 = 75.398 in.
P = + ) = + ) =@ =
E L L I P S EG i v e n :x i s= 8 in. and b = 4 in., then C = ~ = ~ = 2, x = 6 in.
~ = ~ - ~c 2 2 2
. .
- ( ) ( 2 2 x ) ‘ 6
EH m %i @holes have same areas as a 6 in. diam. pipe?
N= (’/d)2 = (6/0.25)2= 242= 576 holes=
Area of 6 in. @pipe= 28,274 in.2
Area of 576 H in. #holes= 28,276 in.2
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G E O M E T R I C A LO R M U L A S
( S e ex a m p l e s nh ea c i n ga g e
~ 1
C U B E
b V = V o l u m e
i – v=3
S Q U A R ER I S M
II V = V o l u m e
— —
I L . *; : : ’’ - : C= &
P R I S M
m T h i so r m u l aa n ep p l i e do nh ae u: : ; y e =r e a o f e n d s ” r f a c e
wi fi se r p e n d i c u l a r onu r f a c
%
C Y L I N D E R
v =olume S = A r e ay l i n d r iu r
. — .. .
+ “ :; : ; : : : ” : =7 8d 2 x
C O N Eq
%
v =olume S = A r e ao n i cu r f
(. — . . 1 4 1 6r 2h.
L
v =1 . 0 4 7r x h
h d “ d
S = 3.1416 rc = 1.5708 dc
~ %
F R U S T U M FO N E
‘ - iv =olume S = A r e ao n i cu r f0 ’ i
v =.2618 h ( D2 + Dd + dz ) a = R–r c . ~
hP
s = 1.5708 C( D + d )
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265
E X A M P L E
( S e eo r m u l a s nh ea c i n ga g e
C U B E
Given: Side a = 8 in.
F i n d :o l u m e= a ~8 35 1 2u . - i n .
Side a = G =i n
S Q U A R ER I S M
Given: Side a = 8 in., b =6in., and c ‘4 in.
F i n d :olume V = a x b x c = 8 x 6 x 4 = 192 cu.-in.
v 1 9 2 9a = - ==
b x cx 4i n . ;= 5
8 x6 i
c. ~1 9 2— = 4 i n .
a x bx 6
P R I S M
G i v e n :n du r f a c e= 1 2q . - i n . ,n d= 8 in.
F i n d :olume V = h x A = 8 x 12 = 96 cu.-in.
C Y L I N D E R
G i v e n := 6 in., and h = 12 in.
F i n d :o l u m e= 3 . 1 4 1 6r 2h = 3 . 1 4 1 66 21 1 3 5 7u .
A r e a fy l i n d r i c a lu r f a c e := 3 . 1 4 1 6d x h =
= 3 . 1 4 1 61 21 24 5 2 . 3 8 9q . - i n .
C O N E
G i v e n := 6 in., and h = 12 in.
F i n d :o l u m e= 1 . 0 4 7 2r 2h = 10 4 7 26 z x h4 5 2 .u . -
c = ~ ‘ ~6 +4 4{ = =3 . 4 1n
A r e a fo n i c a lu r f a c e := 3 . 1 4 1 6x c =
= 3 . 1 4 1 66 x 1 3 . 4 1 62 5 2 . 8 8 7q . - i n
F R U S T U M FO N E
G i v e n :i a m e t e r= 2 4n . ,n d= 1 2n . ,= 1 0 . 3 7n
F i n d :olume V = 0 . 2 6 1 8( D 2D dd 2 )0 . 2 6 1 81 0 . 3 7 52 4 22 41 1 2 22 7 3u
Surface S = 1 . 5 7 0 8( D + d ) =. 5 7 0 81 2 42
6 7 8 . 5 8 6q . - i n .
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266
GEOMETRICAL FORMULAS(See examples on the facing page)
See tables for volume and surface of cylindrical shell, spher-
ical, elliptical and flanged and dished heads beginning
on page
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267
E X A M P L E S
( S e eo r m u l a s nh ea c i n ga g e
SPHERE
Given: Radius r = 6 in.Find: VolumeV = 4.1888 r3 = 4.1888X216 = 904.78CU.-hi.
or v= 0.5236 d3 = 0.5236x 1728= 904.78 cu.-in.
Area A =4Tr2 = 4 x 3.1416x 62 = 452.4 sq.-in.or A= T d2 = 3.1416 x 122= 452.4 sq. in.
S P H E R I C A LE G M E N T
G i v e n :a d i u s= 6 in. and m = 3 in.
F i n d :o l u m e= 3 . 1 4 1 6m zr -=
= 3 . 1 4 1 63 26 - ; )1 4 1 . 3 7u . - i n .
A r e a =r x r x m2 X 3.1416 X 6 X 3 = 1 1 3 .q . -
S P H E R I C A LO N E
G i v e n :a d i u s= 6 in., Cl = 8 in., C2 = 11.625 in., and h = 3 in.
(
3 X 82 + 3 X11.6252Find: Volume V = O.5236X3X ~ + 32
)= 248.74 cu. in.
4
Area A = 6 . 2 8 3 26 X3 = 1 1 3 . 1 0q . - i n .
T O R U S
G i v e n :adius R = 6 in. and r = 2 in.
F i n d :o l u m e= 1 9 . 7 3 9x r z1 9 . 7 3 96 X 22 = 473.7 Cu.-in.
A r e a= 3 9 . 4 7 8 r3 9 . 4 7 86 x 2 = 4 7 3 .q . - i
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268
GEOMETRICAL PROBLEMS AND CONSTRUCTIONS
AJ x
&
zLOCATINGPOINTSON A CIRCLE
EXAMPLE. . y =- = Sin. X= 3 in.
x =q~’ ~indY == =~
= %= 4 in.q. D
,@
L E N G T HF P L A T EOY L I N D
= E X A M P L E
.+ ~ ~ : =e n g t h o fn s i d ei a m e t2 4
tp l a t eh i c k n e s sf p l a1 i
d i a m e t e r2 5 x1 8
T OI N D T H E R A D ; U S O F AI R C U
‘ e ~ : ~~ ~ ~ : ~ ; ’ : : i nq o TO FIND THE CENTER OF A CIRCULAR ARC
When the Radius, R, and Chord, C are known,strike an arc from point A and from point Bwith the given length of the Radius. The inter-secting point, O of the two arcs is the center ofthe circular arc.
y .d~
I
q o T OI N DH EE N T E RC I R C U
P I w h e nh eh o r d , ,ni m e n s i oa n
y ‘ t r ia rr o mo i na nr oob o t hi d e s fh er c .o n n e chn t e r sp o i n t si t ht r a i g h ti n e shn t e r s eo fh et r a i g h ti n e s ,i he n tt ia r c .
# k
~ = 241W ; Y=R-A48A4
FJ CONSTRUCTIONOF A CIRCULAR ARC
The Radius is known, but because of its extremec J length it is impossible to draw the arc with a com-
. Apass. Determine the length of Chord and Dimen-sion M. Draw at the center of the Chord a perpen-
z~ M dicular line. Measureon this line Dimension M.Connect points a n Di s ei a
DB Dn de a s u r e/ 4i m e n s i oe r p e n d iR e p e a t i n gh i sr o c e d u r et he q u eca c y ,w i l l e ta c hi s e c t i ot i mev o r t i c e s fh er i a n g l e sr ho itc u l a rr c .
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- .
GEOMETRICAL PROBLEMS AND CONSTRUCTIONS
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971A
F r u s t u mf E C C E N T R I CO N
E X A M P L E
Given: M e a ni a m e t e rt the large end, D = 36 in.
4.
C “Segmentsof Circles for = 1
t h e
A the Bottom At The Top
Factor c times Factor c timesmean radius = mean radius =
Chords, Cl C2. . . Chords, Cl C2 etc.
S 1,2... ft.-in. in s:, 2. . .in. ft.-in. ,300 c1 = 9.317“ S1 = 6’-0 ~ c1 = 6.212“ s; = 4’-0 %6Q0 Cz= 18.000’ Sz = 6’-2 Yle C2= 12.000” s; = 4’-1 yz~oo C3= 2S.4S2” s3 = 6’-4 ~ C3= 16.968” S; = 4’-2 IMG
1200 C4= 31.176“ S4= 6’-67/lG C4= 20.784“ S: = 4’-4 ‘/fj
1500 C5= 34.776* Ss = 6’-7 I946 C5= 23.184“ S: = 4’-5 Yl(j
‘6 = HZ + & G G’. sl~‘*G=- = 4’-511/lG
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272
O PS
T ou i l dv e s s e lf a c e r t a i na p a c i t yi t hhe minimum material, the correct r
l e n g t h oi a m e t e rh a l l ee t e r m i n e d .
T h ep t i m u ma t i o fe n g t h oh ei a m e t e ra n eo u n ho l l or o
( T h er e s s u r e si m i t e d o0 0 0s in dl l i p s o i d a le a d srs s u m e
F=~ , where P= Design pressure, psi.CSE c= C o r r o s i o nl l o w a n c e ,n
S = S t r e s sa l u e fa t e r i a l ,s i
E = J o i n tf f i c i e n c y
E n t e rh a r t na c i n ga g e th ee f ta n di d e th ee s i r ea p a ct e
M o v eo r i z o n t a l l y oh ei n ee p r e s e n t i n gh ea l u e f
F r o mh en t e r s e c t i o no v ee r t i c a l l yn de a dh ea l u e)
The length of vessel = ~ , where V = Volume of vessel, cu. ft.n DD =nside diameter of vessel, ft.
EXAMPLE
Design D a t a :P= 100 p s i ,= 1 , 0 0 0u .t . ,= 1 6 , 0 0 0s i . ,= 0 . 8= 0 .
F i n dh ep t i m u mi a m e t e rn de n g t h
F = 100 = 0 . 1 2 5n . - l0 . 0 6 2 51 6 , 0 0 0 X. 8
F r o mh a r t= 5.6 ft., s a yft. 6 in.
Length = 4 x 1,000
3.14 x 5.52 = 42.1, say 42 ft. 1 in.
*FROM:
“Gulf Publishing Company, Houston. permissio
—
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273
50,000 1 I I I I I I 1 I I I II 1
40,000I I I 1 I I I I I I I
\ , , 1 , , , , , , , ,
20,000I , , , , , , ,
100,00080.0006
I 08.b.UUUk , 1 [ , , , , , , %~ fz~ t i w 1+ I 1 I M5.000 I I
I I I i f 14.000 I iI 1[I I I.- 1I12.000 I i 1 I I t.
I 1 I 1.+[ Ii I 1 1 I
1 I [ [ Ir 1 1 r , I I
3.000
I,000
400300
200
10080
605040
30
20
10.1
CHART
2 3 4 8 910
VESSELDIAMETER,D FT.
FOR DETERMINING THE OPTIMUM VESSEL SIZE( S e ea c i n ga g eo rx p l a n a t i o n )
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274
FLAT RINGS MADEOF SECTORS
Making flat rings for base, stiffeners etc.,L 1
dividing the ring into a number of secto
Q
less plate will be required.
ONE Since the sectors shall be welded to eadPIECE other, the weMing will be increased
increasing the number of sectors.
The cost of the weMing must be balanc
o+
E
against the savingin plate cost.
The chart on facing page shows the toplate area required when a ring is to
R
2SECTORS divided into sectors. This area is express
as a percentage of the square that is needto cut out the ring in one piece. The figur
0,866 D
u
at the left of this page show the widththe required plate using different number
~3 sectors.
SECTORS D z Outsidediameterofriu.d = Insidediameterofring.
0,707 D
m
DETERMINATK)N OF THE REQUIREDPLATE SIZE
~4
SECTORS 1. Determine D/d and D2 (the area of squaplate would be required for the ring mad
0,500 D
of one piece)
n2. R e a dr o mh a rf a ca p
e6
c e n t a g ehe q u i r
r i n gi v i d e dn the s iu
nS E C T O R Ss e c t o r s
0 , 3 8 3 3. Determinethe requiredareaof plate
D
4. Divide the area by the r e q u
*p l a t e sh o wt het
- 8o b t a i nh ee n g tt hl a
S E C T O R S~ 5 .d dl l o w a n c em ai n f
c u t t i n ge t w e ee c t ot e
T H EE Q U I R E DI D T H fh el a t e
O FL A T EO RI N G SM A D E FE C T O R S
S e ex a m p l ea c ia
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L 13
FLAT RINGS MADEOF SECTORS (cont.)
100 -
90%LL 80
w
o@~ 70
u$ 60
&q 50
CA$ do
&* 30CIa+~ 20 — — .L.
& ~ l.110 ~
o2 3 4 5 6 7 a
EXAMPLENUMBEROF SECTORS
Determine the required plate size for a 168 in. O.D., 120 in. I.D. ring made of6 sectors
1. Did= 1.4; D2 = 28,224 sq. in.
2. From chart (above) the required area of plate is 50% of the area that wouldbe required for the ring made of one piece.
3. Area required 28.224x 0.50= 14,112 sq. in.
4. Divide this area by the required width of plate (facing page). Width = 0.5X 168 = 84 14,112/84 = 167.9 inches, the length of plate.
5. Add allowance for flame cut.
~ 1
=ma
169 “
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- - -
F r u s t u mf C O N C E N T R I CO N
G i v e n :
D =e ai a m e tt a
DI = M e ai a m e tt m
H =e i g ht hr u s
D e t e r m i n ehe q u i rl a
T he q u i rl
= D- DIb—
D2
an c1 = + , rl = —2
e - .r 1s R c
C o n i c a la n ko o f
P = x 3
/
T he q u il
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277
F r u s t u mf C O N C E N T R I CO N E
Made from two or more Plates
t - %
,
-bI
DElevation
l’%
G i v e n :
D =e a ni a m e t et ha
D, = M e a ni a m e t et hm
H =e i g h thr u s
n = N u m b e rl a ts e c
D e t e r m i n eh ee q u i r el aD – D l
b —2
tan W = *
c = ~ b 2H
rl = D 1 / 2
. &c +e
s m t i
2 =D X Z X 5 7 . 2
2 R
x =x s i+ %
Y =x t a+ 1
e x s i
e x c o
W i d t h fh ee q u i r el aR 1L e n g t h fh ee q u i r el a
t h er u s t u ma dr o m
2 P l a t e s2 X+ Z
Reauired Plate
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F r u s t u mf E C C E N T R I CO N
Determination of the Required Plate by Layout and by Calculation
Side viewof cone
1. Draw the side view and half of th
bottom view of the cone.Divide into equal parts the base
and the top circle.Draw arcs from points z’, 3’, 4’,
etc. with the center 1’.
F r oho i es t r i kr cie nS t a r t i nrp oa 1( m a r k em e a spo ho t ti rt ca nn t e r s‘
2#
4O
of the top circle.
o
A
C A L C U L A T I O N
T oi n dh eu r v a t u r et hl ac a l cthe O
Bonly (marked S3)
If the bottom circle divided into 12 equal spaces,
C3 . 2 R x sin 45°
S3 =~H2 + C;
W h e r edenoted the mean radius of the basecircle.
See example.
Fig. B
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BENT AND MITERED PIPE
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2
IC
,/ k\ ./ 1.~
r *G1
[ r.—. Cl
\ \ \ \C2
\ \
‘F}
:17 - ----
16 ‘–—;
:b
-w
‘Y”
h ,2==1 ,( a q - a ~ )o s0 °
1 2( a aa 2 )o s0 °t c .
& P
When t h en t e r s e c t i nl anp e r p e n d i c u l a rt hxtc y l i n d e r ,hn t e r s e c tae l l i p s e .
C O N S T R U C T I O NT HNS E C T I N GL L I P SD i v i d ehi r c u m f e r e ntc y l i n d e rn tq u aa ra nl e m e n ta ci v i soT h ea j o rx it hl l itl o n g e s ti s t a n ce t w ens e c t i n go i n tn hi nt h ei a m e t e rhy l i np o i n t shl l i p ad em i n e d ys i nhh otc y l i n d e rp a c ep r o j es h o w na l c u l a t ie xp l i f i e de l o wi the
m a y ea iul o p ir a al e s ,o w n - c o m e r st hn e s s fhl a tn he qc l e a r a n c eh a ll st ac o n s i d e r a t i o n .
D E V E L O P M E N TT h ee n g t h ,i e q utc u m f e r e n c ehy l i n dit h i si n en tha u me q u a la r t shi r c u m f et h ey l i n d e r .r ae l et h r o u g ha ci v i s ie r p e n dt oh i si n ee t e r m ieo fa c hl e m e ns h ob c
c u l a t i o n .o n n e c tp o i n t shl e m e not a i n e dh et r e t c h e d - oiti n t e r s e c t i o nn au sc u t t i n gua t t e roi ii n g ,t c .
E X A M P L Ef o ra l c u l a t i o nf length ofe l e m e n t s .
T h ei r c u m f e r e n c et hy li si v i d e dn te q ua r
T h en g l es e c t i2 2d e g r e e s .
T h en g l ehn t e r s e clt oh ex i hy l i n4d e g r e e s .c 1r x cos 22-1 /2°
c, = r x cos 45°
c%= r x sin 22-1 /2°h
a l=s i n0s i
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282
I Co fq u a li a m e t e r si t hn g l e fn t e r s e c t i o n0
I
I I
1
— .
1I
‘/4O Fd
T H EI N E FN T E R S E C T I O
D i v i d eh ei r c u m f e r e n c et y l
i n t oq u a la r tnr ae l e
e a c hi v i s i o no i n thn t e r
p o i n t s fh el e m e n te t e r ml
o fn t e r s e c t i o n .
D E V E L O P M E N TA T T E
D r a wt r a i g h ti ne q ue nt
c i r c u m f e r e n c e hy l i n d ei
l i n e sn t oh ea mu m be q
a sh ei r c u m f e r e n c et y lD r a w nl e m e n th r o uai
p e r p e n d i c u l a rh e si ne t
t h ee n g t ha cl e m ep r o j
o ra l c u l a t i o n .S ex a m pe l
c o n n e c t i n gh no it l et h et r e t c h e duurve of the intersectioncan be developed.
EXAMPLEforcalculationof lengthof elements
If the circumferenceof cylindersis divided
into 16equalparts a = 22-1/2°
c1 = r sin a
C’2= r sin 2 a
C3 = r c o s
c4 = r
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-
I Co fn e q u a li a m e t e r si t hn g l e fn t e r s e c t i o n0
Iinder into as many equal parts as necessaryfor the desired accuracy. Draw an elementat each division point. Project distancesc1, C2 etc. to the circumference of thelarger cylinder and draw elements at eachpoints. The intersecting points of theelements of the large and small cylinderdetermine the curve of intersection.
D E V E L O P M E N TA T T E RD r a ws t r a i g h ti nf e q ue nt
c i r c u m f e r e n c e fhy l i n d e ri v
l i n eo rh em a l ly l i n d enn u m b e r fq u a la r thi r c u m f e
o fh em a l ly l i n d e r .r ae l e
t h r o u g ha c hi v i s i o ne r p e n d i c utl i n e .e t e r m i n ehe n g tt hl e m
b yr o j e c t i o n ra l c u l a t i o nSx ab e l o w ) . yo n n e c t i n gh no
t h el e m e n t sh et r e t c h euu rt
i n t e r s e c t i o na ne v e l o p e d
T h eu r v a t u r eho lt a
c y l i n d e r se t e r m i n e dt he n
e l e m e n t s1 , 2t cp a c i nhd i sc e s , ,e t c . ,h i cr he n
a r c s nh ea r t i a li et ha ry1 der.
E X A M P L Ef o ra l c u l a t i o n fe n g t h fl e m e n t s .
D i v i d i n gh ei r c u m f e r e n c e fh ey l i n d e r ,@ - c 21 ,i n t o 2q u a la r t s , 3 0 °
1 ,@ += r sin 30° C2 = r cos 300 C3 = r 14= Rc1
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284
I Cw i t ho nn t e r s e c t i n gx e
a . b . C . d
I\
rI
— . .+ +- – ;; 1 - - - , - *-* ‘
, .I
I 1’I I I
Lk
T H EI N EN T E R S E CD i v i d ehi r c u m f e r etb r a n c hy l i n d eb o ia sa n yq u aa rn e cf o rh en t e n d ec c u ra nl e m e n ta ci v i oT h eo i n t si n t e r s e ctc o r r e s p o n d i n gl e m ee t e
t h ei n en t e r s e c t iD E V E L O P M E N TP A T TD r a ws t r a i g hi ne q et oh ei r c u m f e r e n ct rc y l i n d e rni v ii nn u m b e rq u aa rtc u m f e r e n c e .r ae l et h r o u g ha ci v i s ie r p e nt oh ei n ee t e r meo fh el e m e n tp r o j ec a l c u l a t i o n ,S ex a meB yo n n e c t i n gh note l e m e n t sht r e t c hu
t h en t e r s e c t i o nad e v e
T h eu r v a t u r et hom a i ny l i n d ed e t e r mtl e n g t hl e m e n 1e ti n gh e mi s t a n cb c ew h i c hr he n ga rtm a i ny l i n d es el e v a t
E X A M P L Ef o ra l c u l a t i o nl e n ge l e
D i v i d i n ghi r c u m f e r et
c y l i n d e rn te q ua r= 3
c, = r sin 30° /1 = { R 2C
C2= r cos 30° 12=~ R2-(r + C1)—
1 4R2- (r - C1)2
16 = R
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285
I A C
I
B3
2
1%
/ 2
34
I w
T H EI N EN T E R S E C T ID i v i d eh ei r c u m f e r e nt
c y l i n d e ro ti e nm a n yq u a la r tn e c e st h ee s i r e dc c u r a cre l e m e n ta ci v i soD r a wi r c l e sl air a d i u s lr 2t chii n
s e c t i o n nhl ad e t e rb yh eo i n t sn t e r s e c te l e m e n t sn ho r r e s p oc i r c l e s .r o j e c th e so ite l e v a t i o n .hn t e r s e c too fh er o j e c t o r snl e m ed e t e r m i n ehi ni n t e r s e
o nh el e v a t i o n .ht r eo u tu r v a t u r ehotc o n e s oe t e r m i ntl e n g t h fr c2 3tr a n s
e dr o mh el ai ec a l c ua sx e m p l i f i e de l o whp ao fr c s2 ,3t cao b t a
a sh o w nac a l c u l( S e ex a m p l ee l o w
D E V E L O P M E N TP A T TD r a ws t r a i g h ti nl e n qt oh ei r c u m f e r e n c et y
d e rn di v i di n an u m b e rq u aa rtc u m f e r e n c e .r ae l et h r o u g ha ci v i s iop e n d i c u l a rhi ne t e rt h ee n g t hhl e m epj e c t i o n ra l c u l a t ieof 1~, 1 * ,t c . ( S ex a m pe l
E X A M P L Ef o ra l c u l a t i o ne n ge l e m
C6 = r sin a
r a d i u s ,h t a
‘ =w= ‘tc
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286
I A S
>
R
IA
r ,1 a a
K - - -l-—. —. -—.—. .—. a
I1 “ I -3
s1 . \
%
I
,
“ Iw
‘E X A M P L Ef o ra l c u l a t i o nf length ofe l e m e n t s .
C a l c u l a t eh ei s t a n c e s ,l ,2 ,t c .x l si v e n ; 2x~ + r x sin a , etc. ,
B2
THE LINE OF INTERSECTIONDivide the diameter of the cylinder into equaspaces. The horizontal planes through thdivision points cut elements from the cylindeand circles from the sphere. The intersectionof the elements with the corresponding circleare points on the curvature of intersection.
D E V E L O P M E N T HY L ID r a ws t r a i g h ti ne q ue tc i r c u m f e r e n c e hy l i n i it oh ea m eu m b ep a rt yT h ep a c i n ghi v i s io idm i n e d yh ee n g ta rt yD r a w nl e m e n th r o uai vp e r p e n d i c u l a r hi ne t el e n g t h fh el e m e n tp r o j ebc a l c u l a t i o nhe n g t1 e
P i p e n: 1l l i p s o i d a leT h ee n t e ro r t i ot hea pm a t e l ys p h e r i c a le g m eaw h i c h sq u a l.i m hi a mth e a d .h e nhi pw i tl i0t i m e sh ei a m e t e rt he
i n t e r s e c t i o nne v e l o p m et yc a n eo u n dhb oe s c r
P i p e nl a n g e dni s heS i m i l a ra yhe n t eo r tt hw i t h i nh en u c k l e sa s p h e rer a d i u s fh i c hq ut a td i s h .
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287
T Pconnecting cylindrical and rectangular shapes
A A
A
A-
D E V E L O P M E N TD i v i d eh ei r c ln tq ua
d r a w nl e m e ne ai v
p o i n t .
F i n dh ee n g te al et r i a n g u l a t i o nc a l c u l a te l e m e n t sr hy p o t e nt
t r i a n g l e snide of which is
A - 1- 2 ’ ,- 3t cn t
s i d e sh ee i g ht hr a np i e c e .
B e g i nh ee v e l o p m e nt
1 - Sn dr a whi gr i a n-
w h o s ea s ee q uh a
s i d e Dnh o sy p o t e
f o u n d yr i a n g u l a t i oc a lt i o n .i n dho i n2 3 e
T h ee n g t h- 2- 3e t
b ea k e nq u at hot
d i v i s i o n sh oi r ct h
small enough for the desired accur-acy. Strike an arc with 1 as centerand the chord of divisions as radius.With A as center and A-2 as radiusdraw arc at 2. The intersection ofthese arcs give the point 2. Thepoints 3, 4 etc. in the curve can be
Found in”a similar manner.
E X A M P L E
f o ra l c u l a t i o ne n ge l e
c = r x cos a d = r x sin a
L E N G T HL E M E N
I nh eb o v ee s c r i ba n
b eo u n dhe v e l o p m er
s i t i o ni e c e sh e n
one end is square2. one or both sides of the rec-
tangle are equal to thediameter of the circle
3. the circular and rectangularplanes are eccentric
4. the circular and rectangularplanes are not parallel
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288
T Pconnecting cylindrical and rectangular shapes
1
@
2 2 D E V E L O P M E N T
D i v i d ehi r c ln q ua3 3 d r a wl e m e ne ai
: - + - A
p o i n t .4 -
F i n dh ee n g te al e3 3 t r i a n g u l a t i o nb c a l c u l a
e l e m e n t sr hy p o t et2 2
1 t r i a n g l e sne side of which is
A - 1- 2 ’- 3t
s i d e she i gt r a n
p i e c e .
B e g i nhe v e l o p m et
1 - Sn dr ahi gr i a -w h o s ea se q uh
s i d e Dnh oy p o t
f o u n dr i a n g u l a t ic at i o n .i nho i n2 3 e
T h ee n g t h- 2-e
b ea k e nq u at hot
d i v i s i o n sh oi rt
small enough for the desired accur-acy. Strike an arc with 1 as centerand the chord of divisions as radius.With A as center and A-2 as radiusdraw arc at 2. The intersection ofthese arcs give the point 2. Thepoints 3, 4 etc. in the curve can be
found in a similar manner.
E X A M P L Ef o ra l c u l a t i o nl e n ge l e
c = r x cos a d = r x sin a
e = ~ (d )(a
In the above described manner canbe found the development for tran-sition pieces when:
1. one end is square2. one or both sides of the rec-
tangle are equal to thediameter of the circle
3. the circular and rectangularplanes are eccentric
4. the circular and rectangularplanes are not parallel
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289
D C I E P
o
T h ee s te t h o do ri v i s i o nc i r cn q
I
p a r t s s oi n dh ee n g t hhh o ra p a
+ c m e a s u r eh i se n g t hi t hh ei v i d et hi r
f e r e n c e .h ee n g t h fh eh o r d= d i a m
c i r c l ec ,h e r ei sf a c t oa b u l ae
E X A M P L E :
I t se q u i r e d oi v i d e2 0n c hi a m e t e ri r c l en t oe q u a lp a c e s
c f o rs p a c e sr o mh ea b l e :. 3 8 2 6 8
C = D i a m e t e r0 . 3 8 2 6 82 00 . 3 8 2 6 87 . 6 5 3 6n c h e s
T oi n dh ee n g t h fh o r d so rn ye s i r e du m b e r fp a c eoh ot
t a b l e :
C = D i a m e t e rs i n8 0
n u m b e r fp a c e s
E X A M P L E :
I t se q u i r e d oi v i d e1 0 0n c hi a m e t e ri r c l en t o2 0q u aa r t
C = 100 x sin1 8 0
— =0 0s i n °0 ’ =0 00 . 0 2 62 .n c1 2 0
No. of No. ofSpaces c
No.c c c
1 0.00000 26 0,12054 51 0.06153 76 0,041322 1.00000 27 0,11609 0.06038 0.040793 0,86603 28 0.11196 % 0,05924 ;: 0,040274 0.70711 29 0,10812 54 0.05814 79 0,03976
5 0,58779 30 0“10453 55 0.05709 80 0.039260.50000 31 0.10117 56 0.05607 81;
0.038780.43388 32 0.09802 57 0.05509 82 0,03830
8 0.38268 33 0.09506 58 0.05414 83 0.03784
9 0.34202 34 0.09227 59 0,05322 84 0.037390 . 3 0 9 0 2 5. 0 8 9 6 4 0. 0 5 2 3 4. 0
1 1. 2 8 1 7 3 60 8 7 1 6 1. 0 5 1 4 81 2
0 . 00 . 2 5 8 8 2 70 8 4 8 1 2. 0 5 0 6 50 . 0
1 3. 2 3 9 3 2 8. 0 8 2 5 8 3. ) 4 9 8 50 , 01 4. 2 2 2 5 2 9. 9 8 0 4 7 4.04907 89 0.0352915 0.20791 40 0.07846 65 0,04831 90 0.0349016 0.19509 41 0.07655 66 0.04758 91 0.03452
170.18375 0.07473 67 0.04687 92 0.0341418 0.17365 :: 0.07300 68 0,04618 93 0.03377
19 0.16460 44 0.07134 69 0.04551 0.0334120 0.15643 45 0.06976 70 0.04487 % 0.03306
0,14904 46 0.06824 71 0.04423 96;;
0.032720.14232 47 0,06679 72 0.04362 97 0,03238
23 0.13617 48 0.06540 73 0.04302 98 0.0320524 0.13053 49 0.06407 74 0.04244 0.0317325 0.12533 50 0,06279 75 0.04188 1:: 0 . 0
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290
e
De[
T.
i456-189
10111213
141516171819
—
m SEGMENTSOFCIRCLESFORR4DIUS= 1
Length of arc, height of segment,length of chord,
I P / l\ and area of segmentfor anglesfrom 1 to 180 degrees
W Jndradi”s1 .or other radii, multiply the values
of 1, h and c in the table by the given radius r, andthe values for areas, by r2, the square of the radius.
1
0 . 0 1 72
933
0
9
0
23
i
0
0
00
3
0
0
0
3
3
0
0
3
3
3
0
0
0o
0000
00
000
0
0.7150.73?0
0
000
00
0
0
000
00
011
I
h
0.000o0,ooo10
00
0
0
0
0
0
0
0
0
0000
0
1
c
m0
0
00
0
0
I
0
00
0
0
0I
0
0
0
0
0
0
00
0
0
00
0
0000
00
000.667
1
7A
1
0
0
0 ;
0
0
00 ~
0 I
0
0
0
0
0
0
0
00
0
0
0
0
0
000
00
0
0000
0
0
0
0
0
00
0
00
0
000
00
0
00
1
0Deg
T
626364656667686970717?737475767778798081828384858687888990
919293949596979899
100
102103104105106107108109110111
II
1
m1,0821.1001.1171.1341,1521.1691.1871.X34[~q~
I.2391.2571.2741,291I.3091.3?61.3441.3611.3791.396I.4141.4311.4491.4661.4831
11
1
1
11
11
1
1
111
1
1,7631.7801,7981,8151,8331.8501.8671.8851.9021.9201.9371.9551.9721.9902.0072.0252.0422.0592.0772.094
h
I
c
3-F
;,
1
111
11
1
111
1
A
0
0
0
00
0
0
0
0
0
0
0
000
00
01
I
0
0
00
0
000
0
00
00
0
0
000
0
0
0
000
0
0000
0
00
0
0
00
0
0
I
eDeg
121 2.11?122 2.129123 2.147124 2.164I15 2.18?
126 2.199127 2.217]28 ~,?34129 2,:5]
2
22
I 2
I 2
222
2
22
2
2
22
2
2
2
2
2
2
22
222
22
222
162 2.827163 2.845164 2.862165 2.880166 2.897167 2.915168 2.932169 2.950170 2.967171 2.984172 3.002173 3.019174 3.037175 3.054176 3.072177 3.089178 3.107179 3.124180 3.142
h c
T
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 1
0 10 1
0 1&6~54
i
I
1
[
Area
mentA
0
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291
Ziii4D R O P TH EN T E R S E C T I O N
dO FH E L LN DO Z Z L E
( D i m e n s i o n e dn c h e s )
~
N (
2 %
M I N A I
3 3 %
E
4 5
T8
1.0000 1.8125
0.8125 1.5000
0.6875 1.2.500
0.6250 1.1250
1 %Y2
0.0625
0.0625
0.0625
0.0625—.0.0625
0.0625
0.0625
0.0625
2
0.4375
0.3750
0.3125
0.3125
0.2500
0.2500
0.1875
0.1875
0.1875
0,1875
0.12SC
o.1250
0.I 25a
O.
O.125C
0.12 SC
O.125C
O.125C
0.062S
0.062
0.3750
0.3750
0.3125
+
0.1250 0.2500
0.1250 0.2500
0.12.50 0.2500
0.1250 0.1875
0.062:
0.062 :
0.062
0.062
0.062
0.062
0.062$
0.0625—.0.062:
0.062$
0.062$
0.0625
0.062$
0.0625
0.0625
0.0625
0.0625
0. 12s0 0.1875
0.1875
0.12s0 0.1875
0.1250 0.1875
0.0625 0.1250
0.0625 0.1250
0.0625 0.1250
0.0625 0.1250
0.0625 0.1250
96
102
108
114
120
126
132
138
144
0.0625
0.0625
0.0625
0.0625
0.0625
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292
I I I I
I i I dl I D R O P TH EN T E R S E C T I O N
O FH E L LN DO Z Z L
( D i m e n s i o n ,n c h e s
S h e l l
i a ; .
N (
1 6
8.000
4.8750—4.0000
3.4375
3.0625
2.7500
2.5000
2.3125
2.1250’
2.0000
1.8750
1.7500
1.6875
1.56751
1.1875I
1.1875
1.0625
1.0000
0.8750
0.8125
0.7500
0.6875——
0.6875
0.6250
0.6250
0.5625
0.5625
0.5000
0.5000
0.4375
0.4375
M I N A
1 8
9 . 0 0 0 0
P I P E
20
—
1.0625
.5000
.0625
[.7500
2 30
4-.1250 7.000
3.1875 4.1250
2.6250 3.3750
[
[
[
[
2.3125 2.8750
2.0625 2 5000
1.8125 2.2500
1.6875 2.0625
5.6250
4.6875
4.0625
3.6250
D.000o
.1.0000
7.1875 12.0000
6.0625 8.0000
5.3125 6.8125
4.8125 6.0000
4.3750 5.4375
4.0625 4.8125
3.7500 4.5625
3.5000 4.2500
3.3125 4.0000
3.1250 3.7500
2.6875 3.1875
2.3125 2.8125
2.1250 2.5000
1.8750 2.2500
3.0000
L0625
[.0000
).9375
).8750
).81 25
).7500
).7500
).6875 +
1.8750
5.00000.4375
9.0000
8.1250
7.3125
6.7500
6.3125
5.2500
4.5625
4.0000
3.6250
36
38
40
42
0.875 1.0625
0.7500 0.9375
0.6875 0.8125
0.6250 0.7500
1.7500 2.0625
1.5625 1.8750
1.4375 1.7500
1.3750 1.8750
1.2500 1.5000
1.1875 1.4375
1.1250 1.3750
1.0625 1.2500
1.0000 1.1875
0.9375 1.1250
0.9375 1.1250
0.8750 1.0625
0.8750 1.0000
1. 1.4375
1.3125
1.1875
1.1250
2.4375
2.2500
2.0625
1.937.5
96
102
108
114
120
126
132
138
144
0.312
0.312
0.250(
0.250(
0.250(
0.250(
0.250(
0.182 +
0.4375 0.500(
0.37s0 0.500(
0.3750 0.437$
0.1875 0.437:
0.1875 0.4375
0.3125 0.375(
0.3125 0.375C
0.3125 0.375C
0.875C
0.812 :
0.750C
0.6875
0.6875
0.625C
0.625C
0.5625
1.0000
0.9375
0.8750
0.8125
0.8125
0.7500
0.7500
1.8125
1.6875
1.5625
1.5000
1.4375
1.3750
1.3125
1.2500
1.1875
2.375(
2.250(
2. 125C
2.000C
1.8125
1.750[
1.625C
1.5625.3125 0.312 :.1 82 0.5625 0.6875
I
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293
TABLEFORLOCATINGPOINTS
ON2:1 ELLIPSOIDALHEADS
tFrom thesetablesthe dimension
~y canbe found if the diameter,D and dimensionx areknown,
~Ient ‘i n eR = t h ea d i u se a d
7567890,1,2
,3,4is—
T
723456789
11
1213141516—
Y
72345(—
7.2284
7.07106.87386.63326.344265.5901
5.09904.5
3.74162.69250
~=32
Y
789 ~[0 ~[1[2[3
,4.5,6,7—
T
T2345
6789
101112
1314151617
18—
7.74597.57.21116.87386.48076.02085.4772
4.821842.87220
‘=36
Y
8.98618.94428.87418.77498.6458
8.48528.29158.06227.79427.48337 . 1
6.7082
6.22495.65684.97494.12312.9580
0
3 = 12
Y
2.95802.82842.59802.23601.6583
0
) = 0
r2345
6—
—
z -- i -2345
6789
10
T
T234
56789
x
723456789
10
Y4.97494.89894.76974.58254.3301
43.570732.17940
)= 22
D= 26
Y
T234
56789
10111213—
T
Y23456789
1011121314—
x
72
L’
6.48076.42266.32456.1846
65.76625.47725.12344.69044.15333.46412.50
)=28
Y
6.98216.92826.83746.70826.53836.32456.0621
5.74455.36194.89894.33013.60552.59800
)=30
Y
D = 14
I
Y1 3.46412 3.35413 3.16224 2.87225 2.44946 1.802770
D= 16
Y5.47725.40835.29155.1234
4.89894.60974.24263.77493.16222 . 2 9 1 20
7.98437.93727.85817.74597.59937.41627.19376.92826.61436.2455.8094
543.87292.78380
) = 34Y
- i -T23456
78—
Y3.96863.87293.70813.46413.12252.6457
1.93640
) = 1 8
=24
Y
5.97915.91605.8094
5.65685.45435.19614.87344.47213.96863.31662.3979
TY
1 4.47212 4.38783 4.24264 4.03115 3.74166 3.35417 2.82848 2.0615
D =38
T
x Y9.4868
2 9.44723 9.3808
8.48528.44098.36668.26138.12407.9529 -J1 9.2870
5 9.1651
7.48337.43307.3484
91 0 I l l
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294
TABLEFOR LOCATINGPOINTS
ON2:1ELLIPSOIDALHEADS(Cont.)
T78
910111213141516171819
x
123456789
1011121314151617
181920
T
=38
9.01388.83178.6168
8.36668.07777.74597.36546.92826.42265.83095.12344.24263.04130
=40Y
9.98749.94989.88689.79799.68249.53939.36759.16518.9302
8.66028.351687.59937.14146.614365.2678
4.35893.12250
=42x Y,
-L10.4881
2 10.45233 10.39234 10.30785 10.1986 10.06237 9.8994
89
101 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
2021
xT
23456789
10
111213141516171819202122
2324
T
1
2345
9.70829.48689.23308.9442
8.61688.24627.82627.34846.80076.16445.40834.47213.20150
=48
Y11.989611.958311.905911.832211.736711.61911.478211.313711.124310.9087
10.665410.392310.08719.74679.36758.94428.47057.93727.33146.63325.80944.7958
3.42780
= 54
Y
13.490713.462913.416413.35113.2665
6789
1011121314151617181920
21222324252627
1
x
T2
3456789
10
1121314151617181920212223
13.162413.038412.893912.7279
12.539912.328812.093411.832211.543411.22510.874310.488110.06239.59169.0691
8.48527.82647.07106.18465.09903.64000
=60
Y14.991714.9666
14.924814.866114.790214.696914.58614.456814.309114.1421
13.955313.747713.518513.266512.990412.688612.359212
11.180310.712110.1989.6306
24252627
282930
1x
12345
6789
1011121314151617
18192021222324
;;27282930313233
12
98.29157.48336.5383
5.38513.84050
‘66
Y
16.492416.469716.431716.378316.3095
16.22516.124516.007815.874515.724215.556315.370415.165814.941614.696914.430914.1421
13.829313.490713.124412.727912.29841 1 . 8 311.324810.770310.16129.48688.73217.87406.87385.65584.03110
= 7
Y
17.993117.9722
-7456
789
1011121314151617
181920212223242526272829
30313233343536—
Y
-i-23456789
10~
17.93717.88817.82517.748
17.65617.54917.42817.29117.13916.97016.78516.58316.36316.12415.866
15.58815.28814.96614.62014.24713.84713.41612.95112.44911.90511.31310.665
9.9499.1518.2467.1935.9164.2130
=78
Y19.49319.47419.44219.39719.33919.26719.18319.08518.97318.84818.708
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295
D=78
121314
1516171819202122232425
2627282930313233343536373839
1x
-i-23
456789
10111213141516
18.55418.384818.20031817.783417.549917.298817.029416.740716.431716.101215.74815.370414.9666
14.534414.071213.573913.038412.459911.832211.146710.39239.55248.60237.56.16444.38740
=84
Y
20.99420.976220.9464
220.850720.784620.706320.615520.512220.396120.26720.124619.968719.79919.61519.4165
F
1819202122232425262728293031
3233343536373839404142
x
T234
:789
10111213141516171819
TABLEFORLOCATINGPOINTS
ON2:1ELLIPSOIDALHEADS(Cont.)
19.202918.973718.728318.466218.186517.888517.571317.233716.874516.492416.085715.652515.190514.696914.1686
13.601512.990412.328811.608210.81679.93738.94427.79426.40314.55520
=90v
22.494422.477822.449922.41092 2 . 3 6 0 7
2 2 . 2 9 9 1
2222222222222
72122232425262728293031323334
3536373839404142434445
x
723456
789
10111213141516171819
20.155619.899719.627819.339119.032918.708318.36441817.613917.204716.770516.309515.819315.297114.7394
14.142113.512.806212.05211.22510.30789.27368.07776.63324.71690
=96Y
23.994823.979223.953123.91652 3 . 8 6 9 4
2 3 . 8 1 1 8
23. 743423.664323.574423.473423.361323.237923.10322.956522.79822.627422.444422.248622.0397
T2122232425262728293031323334
3536373839404142434445464748
7
Y
-i-23
456
789
10111213141516
21.817421.581221.330721.065420.784620.487820.174219.843119.493619.124618.73518.323517.888517.428416.9411
16.424115.874515,288914.662913.991113.266512.4811.61910.66549.59168.35166.85564.87340
= 108
Y
26.995426.981526.958326.925826.88426.832826.772226.702126.622426.53326.433926.324926.2059
26.076825.937425.7876
71819202122232425262728293031
32333435363738394041424344454647484
5051525354
-x
7234567
25.627125.455825.273525.079924.874724.657724.428524.186823.932223.664323.382723.086822.776122.449922.1077
21.748621.371720.976220.560920.124F19.66619.183318.674818.138417.571316.970616.332515.652514.924814.142113.294712.369311.346810.1988.8741
7.28015.17200
= 120Y
29.995829.983329.962529.933329.895729.849629.7951
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296
TABLE FOR LOCATINGPOINTS
ON 2:1 ELLIPSOIDALHEADS (Cont.)
T
910
111213141516171819202122
2324252627282930313233
3435363738394041
42434445
4647484950515253&
12029.732129.660629.5804
29.491529.393929.287429.171929.047428.913728.770628.618228.456128.284328.102527.9106
27.708327.495527.271827.03726.790926.53326.263125.980825.685625.377225.0549
24.718424.3672423.616723.216422,79822.360721.903221.424320.922520.396119.8431
19.261418.64811817.313316.583115.803514.966614.062413.0767
r5 10.989656 10.770357 9.367558 7.6811
59 5454360 0
D= 132—xT234567
89
101112131415161718
1920212223242526
;;2930
313233343536373839
Y
32.996232.984832.965932.939332.905232.863432.8139
32.756732.691732.61932.538432.4532.353532.24932.136432.015631.886531.74931.60331.448431.28531.112730.931430.740930.54130.331530.112329.883129.643729.3939
29.133328.861728.578828.284327.977727.658627.326726.981526.6224
z414243
444546474849505152535455
5657585960616263646566
7Y
T234567
89
101112131415161718
26.248825.860225.455825.035
24.596724.140223.664323.167922.649522.107721.540720.946420.322419.66618.973718.2414
17.464216.635815.74814.790213.747712.599611.31379.83618.06225.72270
= 144Y-
35.996535.986135.968735.944435.913135.874835.8295
35.777135.717635.651135.577435.496535.408335.312935.210135.099934.982134.8569
Y202122
2324252627282930313233343536373839404142434445
46474849505152535 4
55657
5859606162636465
J@
34.723934.583234.434734.2783
34.113833.941133.760233.570833.372933.166232.950732.726132.492332.24931.996131.7333
31.460331.176930.882830.577830.261429.933329.593129.240428.874728.495628.1025
27.694827.271826.832826.377125.903725.411624.899824.36723.8118222.627421.9943
21.330720:633719.899719.124618.30317.428416.492415.483914.3875
L7 13.1814
6869 10.283570 8.4261
71 5.979172 0
N O
T u r
o a e l l i
h ei
i n so u
i a t r
e l l i
T a r
c ut
o p p o
i n l
a
d a
t ha
a
a p p l it l o
p o i
t he
r i c
d e t e r
c u r
( e s p ei t
o h e
w a le
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297
LENGTH OF ARCS
1. These tables are for locating points on pipes and shellsby measuringthe length of arcs.
2. The length of arcs are computed for the most commonly used pipe-sizesand vesseldiameters.
3. The length of arcs for any diameters and any degrees, not shown in thetable, can be obtained easily using the values givenfor diam. 1 or degree 1.
4. All dimensionsare in inches.
EXAMPLES
A. w 3P
6
O.D. = 3 0 ”
N o z z l eo c a t e d ?0 °
/ F r o ma b l eh ee n g t h
2 7 V4 9 @ ’ r c7 . 8 4 3 8n
1 8 ( Y
B .
@
C P6 V. D .3 0 ”
N o z z l eo c a t e d6 0 °
T h er c o ee a s u r e dr oh.
2 7 PY 9 0 @l o s e s te n t e r l i n e
T h eo z z l es @0 °r oh 0
~ .h ee n g t h fh i sr c. 8 4 n
I s & ’
c .3m’
4
I . D .3 0 ”a l lh i c k n e s s =/ 8h
O . D .3 04 ”
) N o z z l eo c a t e d ?0 °
2 7 Wd 9 Wr o ma b l ee n g t h0 r o
d i a .= 0 . 2 6 1 8 00 . 2 6 1 8 03 0 . 78 . 0 5
1 8 @
D .22%0
&
O.D. = 3 0 ”
N o z z l eo c a t e d2 2 ? 4 °
F r o ma b l ee n g t hr
2 7 ( Y{
9 0 ’ J0 ”. D .i p e =) . 2 6 1 8 00 . 2 6 1 8 02 2 .5 .
1 8 W
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298
L E N G T H FR C S
D E G R E E S
D i a m .5 1 0 5 3
1 0 . 0 0 8 7 3. 0 4 3 6 3. 0 8 7 2 7. 1 3 0 9 0. 1 7 4 5. 2 1.
1 0 . 0 1 1 4 8. 0 6 2 5. 1 2 5 0. 1 8 7 S. 2 1 8. 2
1Y2
: 2zw& 3z
a
~ 5
z 60z 8
w
w~
~
Amxa
8
$
&az~
n
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- ,
L E N G T H FR C S
D E G R E E S
D i a m . 5 0 5 08 7
1 0 . 3 0 5 4 3. 3 4 9 0 7. 3 9 2 7 0. 7 8 5 4 0. 5 7 0 8 0.35619 3.14159
1 0.4063 0.4688 0.5313 1.0313 2.0625 3.0938 4.1250
1Y2 0.5938 0.6563 0.7500 1.5000 3.0000 4.4688 5.9688
wN 2 0.7188 0.8438 0.9375 1.8750 3.7188 5.5938 7.4688G 2% 0.8750 1.0000 1.1250 2.2500 4.5313 6.7813 9.0313m& 3 1.0625 1.2188 1.3750 2.7500 5.5000 8.2500 11.0000
z 3% 1.2188 1.4003 1.5625 3.1563 6.2813 9.4375 12.5625d 44
1.3750 1.5625 1.7813 3.5313 7.0625 10.5938 14.1250
g 5 1.6875 1.9375 2.1875 4.3750 8.7500 13.0938 17.4688
z 6 2.0313 2.3125 2.5938 5.2188 10.4063 15.6250 20.8125
$? 8 2.6250 3.0938 3.3750 6.7813 13.5625 20.3125 27.0938
10 3.2813 3.7500 4.2188 8.4375 16.8750 25.3438 33.7813
12 3.9063 4.4375 5.0000 10.0000 20.0313 30.0313 40.0625
12 3.6563 4.1875 4.7188 9.4375 18.8438 29.2813 37.0625
14 4.2813 4.8750 5.5000 11.0000 22.0000 33.0000 43.9688
16 4.8750 5.5938 6.2813 12.5625 25.1250 37.6875 50.2500
18 5.5000 6.2813 7.0313 14.1250 28.2813 42.4063 56.5625
20 6.0938 6.9688 7.8438 15.7188 31.4063 47.1250 62.8438
22 6.7188 7.6875 8.6563 17.2813 34.5625 51.8438 69.1250
24 7.3438 8.3750 9.4375 18.8438 37.6875 56.5625 75.4063
26 7.9375 9.0625 10.2188 20.4063 40.8438 61.2500 81.6875
28 8.5625 9.7813 11.0000 22.0000 43.9688 65.9688 87.9688
30 9.1563 10.4688 11.7813 23.5625 47.1250 70.6875 94.2500
32 9.7813 11.1563 12.5625 25.1250 50.2500 75.4063 100.5313
34 10.3750 11.8750 13.3438 26.7188 53.4060 80.1250 106.8125
m 36 11.0000 12.5625 14.1250 28.2813 56.5625 84.8125 113.0938
: 3811.5938 13.2500 14.9375 29.8438 59.6875
89.5313119.3750
u 12.2188 13.9688 15.7188~ ;:
31.4063 62.8438 94.2500 125.6563
12.8438 14.6563 16.5000 33.0000A ‘
65.9688 98.9688 131.9375
a 48 14.6563 16.7500 18.8438 37.6875 75.4063 113.0938LLl
150.7813
g 5416.5000 18.8438 21.2188 42.4063 84.8125 127.2500 169.6563
60 18.3125 20.9375 23.5625 47.1250 94.2500 141.3750 188.5000
5 66 20.1563 23.0313 25.9065 51.8438 103.6875 155.5000 207.3458—-..—* 22.0000 25.1250 28.2813 56.5625 113.0938 169.6S63m
226.1875
+ 78 23.8125 27.2188 30.6250 61.2500 122.5313 183.7813 245.0313
E :;25.6563 29.3125 3 3 . 0 0 0 05 . 9 6 8 83 1 . 9 3 7 59 7 . 96
4 2 7 . 5 0 0 01 . 4 0 6 35 . 2 4 3 80 . 6 8 7 54 1 . 3 7 5 01 2 . 08
s 9 69 . 3 1 2 53 . 5 0 0 07 . 6 8 7 55 . 4 0 6 35 0 . 7 8 1 32 6 . 10
1 0 21 . 1 5 6 35 . 5 9 3 80 . 1 2 5 00 . 1 2 5 06 0 . 2 1 8 84 0 . 321 0 83 . 0 0 0 07 . 6 8 7 52 . 4 0 6 34 . 8 1 2 56 9 . 6 5 6 35 4 . 43
1 1 44 . 8 1 2 59 . 7 8 1 39 . 7 8 1 39 . 5 3 1 37 9 . 0 6 2 56 8 . 55
1 2 06 . 6 5 6 31 . 8 7 5 07 . 1 2 5 04 . 2 5 0 08 8 . 5 0 0 08 2 . 77
1 2 68 . 5 0 0 03 . 9 6 8 89 . 4 6 8 88 . 9 6 8 89 7 . 9 0 6 39 6 . 89
1 3 20 . 3 1 2 56 . 0 6 2 51 . 8 4 3 80 3 . 6 5 6 30 7 . 3 4 3 81 1 . 01
1 3 82 . 1 5 6 38 . 1 5 6 34 . 1 8 7 50 8 . 3 7 5 01 6 . 7 8 1 32 5 . 13
1 4 43 . 9 6 8 80 . 2 5 0 06 . 5 6 2 51 3 . 0 9 3 82 6 . 1 8 7 53 9 . 25
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300
C IA C
D i a .I Circum.I
Area Circum.
6.2832
6.4795
6.67596.8722
7.06867.2649
7.4613
7.6576
7.85408.0503
8.2467
8.44308.6394
8.8357
9.0321
9.2284
9.4248
9.62119.8175
10.014
10.210
10.407
10.603
10.79910.996
11.192
11.388
11.58511.781
11.97712.174
12.370
Area
3.1416
3.3410
3.54663.7583
3.9761
4.20Q0
4.4301
4.6664
4.90875.1572
5.4119
5.67275.93966.2126
6.4918
6.7771
Circum.
16.297
16.493
16.69016.886
17.082
17.279
17.475
17.67117.868
18.064
18.261
18.457
18.653
18.850
19.242
19.63520.028
20.420
20.813
21.206
21.598
21.991
22.384
22.776
23.169
23.562
23.95524.347
24.740
25.133
25.525
25.91826.31126.704
27.096
27.489
27.882
28.27428.667
29.060
29.45229.845
30.238
30.631
31.023——
31,416
31.80932.201
Area
. 0 4 9 0 9c Q o 1 9
. 0 9 8 1 80 0 0 7 7
. 1 4 7 2 60 0 1 7 3
. 1 9 6 3 50 0 3 0 7
. 2 9 4 3 20 0 6 9 0
. 3 9 2 7 00 1 2 2 7
. 4 9 0 8 70 1 9 1 7
. 5 8 % 50 2 7 6 1
. 6 8 7 2 20 3 7 5 8
. 7 8 5 4 00 4 9 0 9
. 8 8 3 5 70 6 2 1 3
. 9 8 1 7 50 7 6 7 01 . 0 7 9 90 9 2 8 11 . 1 7 8 11 1 0 4 51 . 2 7 6 31 2 9 6 2
1 . 3 7 4 41 5 0 3 31 . 4 7 2 61 7 2 5 7
1 . 5 7 0 81 9 6 3 51 . 6 6 9 02 2 1 6 61 . 7 6 7 12 4 8 5 01 . 8 6 5 32 7 6 8 81 . 9 6 3 53 0 6 8 02 . 0 6 1 73 3 8 2 42 . 1 5 9 83 7 1 2 22 . 2 5 8 04 0 5 7 4
2 . 3 5 6 24 4 1 7 92 . 4 5 4 44 7 9 3 7
2 . 5 5 2 55 1 8 4 92 . 6 5 0 75 5 9 1 42 . 7 4 8 96 0 1 3 22 . 8 4 7 16 4 5 0 42 . 9 4 5 26 9 0 2 93 . 0 4 3 47 3 7 0 8
. —3 . 1 4 1 67 8 5 43 . 3 3 7 98 8 6 63 . 5 3 4 39 9 4 03 . 7 3 0 6. 1 0 7 53 . 9 2 7 0. 2 2 7 24 . 1 2 3 3. 3 5 3 04 . 3 1 9 7. 4 8 4 9
4 . 5 1 6 0. 6 2 3 04 . 7 1 2 4. 7 6 7 14 . 9 0 8 7. 9 1 7 55 . 1 0 5 1. 0 7 3 95 . 3 0 1 4. 2 3 6 55 . 4 9 7 8. 4 0 5 35 . 6 9 4 1. 5 8 0 25 . 8 9 0 5. 7 6 1 26 . 0 8 6 8. 9 4 8 3
21.135
21.648
22.166
22.691
23.22123.758
24.301
24.850
25.406
25.967
26.53527.109
27.688
28.274
29.465
30.68031.919
33.183
34.472
35.785
37.122
3A
1 2 . 5 6 61 2 . 7 6 31 2 . 9 5 91 3 . 1 5 51 3 . 3 S 21 3 . 5 4 81 3 . 7 4 41 3 . 9 4 11 4 . 1 3 71 4 . 3 3 4
1 4 . 5 3 01 4 . 7 2 61 4 . 9 2 31 5 . 1 1 91 5 . 3 1 51 5 . 5 1 2
12.566
12.96213.36413.772
14.186
14.607
15.03315.466
15.90416.349
16.80017.25717.728
18.19u
18.66519.147
?x%
15.708
15.$0416.101
—
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301
C IA C (
D i a .i r c u m .r e ai a .i r c u m .r e ai ai r c
o . ~3 2 . 5 9 48 4 . 5 4 15 1 . 0 5 10 7 . 3 96 9 . 8% 3 2 . 9 8 76 . 5 9 05 1 . 4 4 41 0 . 6 06 9 . 8
% 3 3 . 3 7 98 . 6 6 45 1 . 8 3 61 3 . 8 2
$ ’0 . 93 A3 . 7 7 2. 7 6 35 2 . 2 2 91 7 . 0 87 0 . 9% 3 4 . 1 6 52 . 8 8 65 2 . 6 2 22 0 . 3 S% 7 1 . 0
% 5 3 . 0 1 42 3 . 6 57 1 . 01 1 .4 . 5 5 85 . 0 3 3 Y 7 1 . 1
% 3 4 . 9 5 07 . 2 0 57 .3 . 4 0 72 6 . 9 8
% 3 5 . 3 4 39 . 4 0 25 3 . 8 0 03 0 . 3 332 . 1
% 3 5 . 7 3 60 1 . 6 25 4 . 1 9 23 3 . 7 17 2 . 2
% 3 6 . 1 2 80 3 . 8 7 A4 . 5 8 53 7 . 1 07 3 . 2% 3 6 . 5 2 10 6 . 1 45 4 . 9 7 84 0 . 5 37 3 . 23 A6 . 9 1 40 8 , 4 35 5 . 3 7 14 3 . 9 8% 7 3 . 3~ 87 . 3 0 61 0 . 7 55 5 . 7 6 34 7 . 4 57 4 . 3
~ 86 . 1 5 65 0 . 9 57 4 . 41 2 .7 . 6 9 91 3 . 1 0 % 7 5 . 4
%3 8 . 0 9 21 5 . 4 78 .6 . 5 4 95 4 . 4 7
% 3 8 . 4 8 51 7 . 8 65 6 . 9 4 15 8 . 0 245 . 5
% 3 8 . 8 7 72 0 . 2 87 . 3 3 46 1 . 5 97 5 . 5% 3 9 . 2 7 02 2 . 7 25 7 . 7 2 76 5 . 1 8? 7 6 . 6~ 89 . 6 6 32 5 . 1 95 8 . 1 1 96 8 . 8 09 7 6 . 6
% 4 0 . 0 5 52 7 . 6 85 8 . 5 1 27 2 . 4 5? 7 6 .7
7 80 . 4 4 83 0 . 1 9 48 . 9 0 57 6 . 1 2% 7 7 . 7— % 5 9 . 2 9 87 9 . 8 1? 7 7 . 8
1 3 .0 . 8 4 13 2 . 7 3 ~ 7 8 . 8; 4 1 . 2 3 33 5 . 3 09 .9 . 6 9 08 3 . 5 3
4 1 . 6 2 63 7 . 8 96 0 . 0 8 38 7 . 2 758 . 9
% 4 2 . 0 1 94 0 . 5 06 0 . 4 7 69 1 . 0 4~ 7 8 . 9
% 4 2 . 4 1 24 3 . 1 46 0 . 8 6 89 4 . 8 39 . 0
% 4 2 . 8 0 44 5 . 8 06 1 . 2 6 19 8 . 6 5~ 7 9 . 0s ~3 . 1 9 74 8 . 4 91 . 6 5 40 2 . 4 98 0 . 1
% 4 3 . 5 9 05 1 . 2 06 2 . 0 4 60 6 . 3 58 0 51% 6 2 . 4 3 91 0 . 2 4% 8 0 . 2
1 4 .3 . 9 8 25 3 . 9 4 ~ 8 1 . 2~ 4 4 . 3 7 55 6 . 7 00 .2 . 8 3 21 4 . 1 6
x 4 4 . 7 6 85 9 . 4 86 3 . 2 2 51 8 . 1 061 . 3% 4 5 . 1 6 06 2 . 3 06 3 . 6 1 72 2 . 0 6% 8 2 . 3% 4 5 . 5 5 36 5 . 1 36 4 . 0 1 02 6 . 0 5x 8 2 . 4~ 4 5 . 9 4 66 7 . 9 96 4 . 4 0 33 0 . 0 68 2 . 84? 46 . 3 3 87 0 . 8 7 84 . 7 9 53 4 . 1 0Y 8 3 . 5
% 4 6 . 7 3 17 3 . 7 86 5 . 1 8 83 8 . 1 6% 8 3 . 5
& 6 S . 5 8 14 2 , 2 50 4 . 61 5 .7 . 1 2 47 6 . 7 1 % 8 4 . 6
% 4 7 . 5 1 77 9 . 6 71 .5 . 9 7 34 6 . 3 6
% 4 7 . 9 0 98 2 . 6 56 6 . 3 6 65 0 . 5 074 . 7
% 4 8 . 3 0 28 5 . 6 66 6 . 7 5 95 4 . 6 4 5% 8 5 . 7~ 4 8 . 6 9 58 8 . 6 96 7 . 1 5 25 8 . 8 48 5 . 8
% 4 9 . 0 8 79 1 . 7 5 27 . 5 4 46 3 . 0 5/6 . 8% 4 9 . 4 8 09 4 . 8 36 7 . 9 3 76 7 . 2 8; 8 6 .7 89 . 8 7 39 7 . 9 3 A3 . 3 3 07 1 . 5 46 . 9
~ 6 8 . 7 2 27 5 . 8 38 7 . 01 6 .0 . 2 6 50 1 . 0 6 % 8 7 . 1
% 5 0 . 6 5 80 4 . 2 22 .9 . 1 1 58 0 . 1 34
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2
2 RA C
Area
615.75
621,26626.80
632.36
637.94
643.55
649.18
654.84
660.52666.23
671.96
677.71
683.49
689.30
695.13
700.98
706.86
712.76
718.69
724.64
730.62736.62
742.64
748.69
754.77
760.87
766.99
773.14
779.31
785.51791.73
797.98
804.25810.54816.86
823.21
8 2 9 . 5 8
ki r c u m .
1 0 6 . 8 1 4
1 0 7 . 2 0 71 0 7 . 6 0 01 0 7 . 9 9 21 0 8 . 3 8 51 0 8 . 7 7 81 0 9 . 1 7 01 0 9 . 5 6 3
Area
125.664
126.0s6126.449126.842
127.23s
127.627
128.020
128.413
128.805
129.198
129.591
129.983130.376
130,769
131.161
131.554
~
%%
%
1320.3
1328.3
1336.4
1344.51352.71360.8
1369.0
1377,2
1075.21082.51089.81097.11104.51111.81119.21126.7
135.088
135.481
135.874
136.267
136.659
137.052
137.445137.837
139.801140.194140.586140.979
1 5
119.381119.773120.166
120.559
1 1 6 4 . 2
141.372
141.764
142.157142.550
142.942143.335
143.728144.121
122.522
122.915
123.308123.700
124.093124.486
124.878125.271
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303
C IA C
D i a .i r c u m .
1 4 4 . 5 1 3
1 4 4 . 9 0 61 4 5 , 2 9 91 4 5 . 6 9 11 4 6 . 0 8 41 4 6 . 4 J 71 4 6 . 8 6 91 4 7 . 2 6 2
Area
1661.9
1670.91680.0
1689.1
1698.2
1707.4
1716.5
1725.7
1734.91744.2
1753.51762.7
1772.1
1781.4
1790.81800.1
Circum. Area Area
2642.1
2653,52664.9
2676.4
2687.8
2699.3
2710.9
2722.4
163.363
163.756164.148
164.541
164.934
165.326
165.719
166.112
2123.7
2133.92144.2
2154.5
2164.8
2175.1
2185.4
2195.8
2206.2
2216.6
2227.0
2237.5
2248.0
2258.5
2269.12279.6
2290.2
2300.82311.5
2322.1
2332.8
2343.523S4.3
236S.0
2375.82386.6
2397.52m8.3
2419.2
243J1.1
2441.1
2452.0
182.212
182.605182.998
183.390
183.783184.176
184.569184.961
2734.0
2745.6
2757.2
2768.8
2780.5
2792.2
2803.92815.7
2827.4
2839.2
2851.0
2862.9
2874.8
2886.6
2898.6
2910.5
2922.5
2934.5
2946.52958.5
2970.6
2982.7
2994.8
3(X)6.9
147.655148.048
148.440
148.833
149.226
149.618
150.011150.404
166.504
166.897
167.290
167.683
168.075
168.468
168.861169.253
1 5 8 . 6 5 0
169.646
170.039
170.431
170.824
171.217
171.609
172.002
172.395
60.
?’4?%%%?4%
172.788
173.180
173.573173.966
174.358
174.751
175.144
175.536
1 7 7 . 5 0 0177.893
178.285
178.678
2463.0
2474.02485.0
2496.1
2507.2
2518.3
2529.4
2540.6
2551.8
2563.0
2574.22585.4
2596.72608.02619.4
2630.7
1 % .
160,221
160.614
161.007161.399161.792
162.185162.577
162.970
2042.8
2052.8
2062.92073.0
2083.1
2093.2
2103.3
2113.5
—
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Area Dia. Circum.
238.761
239.154239.546
239.939240.332
240.725
241.117
241.510
201.062
201.455201.847
202.240
202.633
203.025
203.418
203.811
204.204
204.596
204.989
205.382
205.774
206.167
206.5&l206.952
3421.2
3434.2
3447.23460.2
3473.23486.3
3499.43512.5
245.044
245.437
245.830246.222
246.615
247.008
247.400
247.793
210.487
210.879
211.272211.665
212.058
212.450
212.843
213.236
248.M6
248.579
248.971249.364
249.757250.149
250.542
250.935
251.327251.720
252.113
252.506
252.898
253.291
253.684
254.076
254.469
254.862
255.254255.647
256.040256.433
256.825
257.218
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305
C IA C
Dia. Circum.I
Area—.—
82. 257.611 5281.0;~ 258.003 5 2 9 7 . 1
x 2 5 9 . 3 9 63 1 3 . 3~ ~2 5 8 . 7 8 93 2 9 , 4% 2 5 9 . 1 8 13 4 5 . 6% 2 5 9 . 5 7 43 6 1 . 8% 2 5 9 . 9 6 73 7 8 . 1% 2 6 0 . 3 5 93 9 4 . 3
— — ~ — —8 3 .6 0 . 7 5 25 4 1 0 . 6
% 2 6 1 . 1 4 55 4 1 6 . 9x 2 6 1 . s 3 84 4 3 . 3% 2 6 1 . 9 3 04 5 9 . 6% 2 6 2 . 3 2 34 7 6 . 0% 2 6 2 . 7 1 64 9 2 . 4% 2 6 3 . 1 0 85 0 8 . 8% 2 6 3 . 5 0 15 2 5 . 3
— — — —8 4 .6 3 . 8 9 45 4 1 . 8
Y 86 4 . 2 8 65 5 8 . 3% 2 6 4 . 6 7 95 7 4 . 8% 2 6 5 . 0 7 25 9 1 . 4% 2 6 5 . 4 6 56 0 7 . 9% 2 6 5 . 8 5 76 2 4 . 5% 2 6 6 . 2 5 06 4 1 . 2% ’6 6 . 6 4 36 5 7 . 8
8 5 .6 7 . 0 3 56 7 4 . 5% 2 6 7 . 4 2 86 9 1 . 2% 2 6 7 . 8 2 17 0 7 . 9% 2 6 8 . 2 1 37 2 4 . 7
% 2 6 8 . 6 0 67 4 1 . 5% 2 6 8 . 9 9 97 5 8 . 33 A6 9 . 3 9 27 7 5 . 1Y s6 9 . 7 8 47 9 1 . 9
. — —86. 270.177 5808.8
% 270.570 5825.7
% 270.962 5842.6
% 271.355 5859.6
% 271.748 5876.5
5A 272.140 5893.5
3% 272.533 5910.6
% 272.926 5927.6
87. 273.319 5944.7
~8 273.711 5961.8
% 274.104 5978.9
% 274.497 5996.0
% 274.889 6013.2
5A 275.282 6030.4
3% 275.675 6047.6
% 276.067 6064.9
Dia. Circum.——
88. 276.460$; 276.853
~ 277.246277.638
$ 278.031
% 278.424~ 278.816
279.209
89. 279.602
Y8 279.994
% 280.387
280.780~ 281.173
% 281.565
3A 281.958
% 282.351
90. 282.743
% 283.136
% 283.529
% 283.921~ 284.314
% 284.707
285.100
% 285.492
91. 285.885
% 286.278~ 286.670
?’6 287.063
% 287.456% 287.848
3A 288.241
% 288.634
92. 289.027
% 289.419~ 289.812
?’4 2?0.205~ 290.597
5% 290.990
% 291.383
% 291.775
93. 292.168
% 292.561
% 292.954
% 293.346
% 293.739
294.132
$% 294.524
% 294.917
6082.1
6099.4
6116.76134.1
6151.4
6168.8
6186.2
6203.7
6221.1
6238.6
6256.1
6273.7
6291.2
6308.8
6326.4
6344.1
6361.7
6379.4
6397.1
6414.9
6432.6
6450.4
6468.2
6486,0———
6503.9
6521.8
6539.7
6557.6
6575.56593.56611.5
6629.6
6647.6
6665.7
6683.8
6701.9
6720.1
6738.2
6756.4
6774.7
Dia. Circum. Arc
94. 295.310 6939,8
B 295.702 6958.2
% 296.09s 6976.7% 296.488 6995.3
ti 296.881 7013.8
5A 297.273 7032.4
3A 297.666 7051.0
% 298.059 7069.6——.
95. 298.451 7088.2>,; 298.844 7106.9
x 299.237 7125.6$6 299.629 7144.3
300.022 7163.0
% 300.415 7181.8
% 300.807 7200.6
%
x
%%%~
~
%
%%%
B 3 0 8 . 25 6? 08.661 7581.5
% 309.054 7600.8
% 309.447 7620.1
% 309.840 7639.5
% 310.232 7658.9
% 310.625 7678.3
99. 311.018 7697.7
% 311.410 7717.1
% 311.803 7736.6
3/8 312.196 7756.1
% 312.588 7775.6
% 312.981 7795.2~ 313.374 7814.8
% 313.767 7834.4
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306
C IA C f
A
1 0 0 .1 4 . 1 68 5 40 6 .3 3 . 0 18 2 51 25 1
% 3 1 4 . 5 58 7 33 3 3 . 4 08 4 53 5 2
x 3 1 4 . 9 58 9 33 3 3 . 8 08 6 63 5 2% 3 1 5 . 3 49 1 33 4 . 1 98 8 73 5 3% 3 1 5 . 7 39 3 33 3 4 . 5 89 0 83 5 3% 3 1 6 . 1 29 5 23 3 4 . 9 79 2 93 5 33 A1 6 . 5 29 7 23 3 5 . 3 79 5 03 5 4
% 3 1 6 . 9 19 9 23 3 5 . 7 69 7 13 5 4
1 0 1 .1 7 . 3 00 1 20 7 .3 6 . 1 59 9 21 35 5% 3 1 7 . 6 90 3 2 83 6 . 5 40 1 43 5 5% 3 1 8 . 0 90 5 23 3 6 . 9 40 3 53 5 5% 3 1 8 . 4 80 7 1 83 7 . 3 30 5 63 5 6
% 3 1 8 . 8 70 9 13 3 7 . 7 20 7 73 5 6% 3 1 9 . 2 71 1 13 3 8 . 1 20 9 83 5 6% 3 1 9 . 6 61 3 13 3 8 . 5 11 1 93 5 7~
3 2 0 . 0 51 5 1 83 8 . 9 01 4 03 5 7
1 0 2 .2 0 . 4 41 7 10 8 .3 9 . 2 91 6 11 45 8% 3 2 0 . 8 41 9 13 3 9 . 6 91 8 35 8X 3 2 1 . 2 32 1 13 4 0 . 0 82 0 43 5 83 A2 1 . 6 22 3 13 4 0 . 4 72 2 53 5 9? 42 2 . 0 12 5 23 4 0 . 8 62 4 63 5 9% 3 2 2 . 4 12 7 23 4 1 . 2 62 6 83 &3 A2 2 . 8 02 9 2 ~4 1 . 6 52 8 93 6 0~ 82 3 . 1 93 1 2 84 2 . 0 43 1 03 6 0
1 0 3 .2 3 . 5 93 3 20 9 .4 2 . 4 33 3 11 56 1% 3 2 3 . 9 83 5 23 4 2 . 8 33 5 33 6 1% 3 2 4 . 3 73 7 23 4 3 . 2 23 7 43 6 2% 3 2 4 . 7 63 9 3’ i4 3 . 6 13 9 63 6 2; 3 2 5 . 1 64 1 3M 3 4 4 . 0 14 1 73 6 2
3 2 5 . 5 54 3 4 A4 4 . 4 04 3 93 6 33 A2 5 . 9 44 5 4 A3 4 4 . 7 94 6 03 6 3~ 3 2 6 . 3 34 7 4 4/ 3 4 5 . 1 84 8 1% 3 6 4
1 0 4 .2 6 . 7 34 9 51 0 .4 5 . 5 85 0 31 66 4% 3 2 7 . 1 25 1 53 4 5 . 9 75 2 5% 3 6 4% 3 2 7 . 5 15 3 6 44 6 . 3 65 4 6X 3 6 5% 3 2 7 . 9 15 5 63 4 6 . 7 55 6 8% 3 6 5% 3 2 8 . 3 05 7 73 4 7 . 1 55 8 93 6 6% 3 2 8 . 6 95 9 7 ~4 7 . 5 46 1 1~ 3 6 63 A2 9 . 0 86 1 83 4 7 . 9 33 3% 3 6% 3 2 9 . 4 86 3 8 84 8 . 3 35 5~ 3 6 7
— —
1 0 5 .2 9 . 8 7 —6 5 91 1 .4 8 . 7 27 71 76 7% 3 3 0 . 2 66 7 93 4 9 . 1 19 83 6% 3 3 0 . 6 57 0 03 4 9 . 5 07 2 03 6 8~ 3 3 1 . 0 57 2 13 4 9 . 9 07 4 23 6 8x 3 3 1 . 4 47 4 13 5 0 . 2 97 6 43 6 9
% 3 3 1 . 8 37 6 23 5 0 . 6 87 8 63 6 9% 3 3 2 . 2 27 8 33 5 1 . 0 78 0 83 6 9
~ 83 2 . 6 28 0 4 85 1 . 4 78 3 03 7 0,
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%
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%
%%%%%%%
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~
x 384.06%%%
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%
%
-
C IA C (continued)
—
; 1 3% ,9 0 . 3 42125 409.19 133243A 390.74 12150 %%
409.59 13350391.13 12174 ?-’6
%
409.98 13375391.52 12199 >~
3A
410.37 13401391.92 12223 3A 410.76 13426
~8 392.31 12248 % 411.16 13452
125. 392.70 12272 131. 411.55 13478% 393.09 12297 %%
411.94 13504393.49 12321 X 412.34 13529
g 393.88 12346 412.73%
13555394.27 12370 E 413.12 13581
~ 394.66 12395 % 413.51 13607
% 395.06 12419 ~ 413.91 13633?’4 395.45 12444 % 414.30 13659
126. 395.84 12469 132. 414.69 13685
% 3%.23 12494 % 415.08 13711~ 3%.63 12518 X 415.48 13737M 397.02 12543 % 415.87 13763~ 397.41 12568 % 416.26 13789~ 397.81 12593 ~ 416.66 13815g 398.20 12618 x 417.05 13841
% 398.59 12643 % 417.44 13867
127. 398.98 12668 133. 417.83 13893
~ 399.38 12693 % 418.23 13919
399.77 12718 X 418.62 13946% 400.16 12743 % 419.01 13972
% 400.55 12768 % 419.40 13999
% 400.95 12793 % 419.80 14025
% 401.34 12818 x 420.19 14051
% 401.73 12843 ?’4 420.58 14077
128. 402.13 12868 134.g
420.97 14103402.52 12893 ~ 421.37 14130
% 402.91 12919X 421.76 14156
% 403.30 12944 % 422.15 14183
% 403.70 12970 % 422.55 14209
% 404.09 12995 % 422.94 14236
% 404.48 13020 % 423.33 14262
% 404.87 13045 % 423.72 14288
129. 405.27 13070 135. 424.12 14314
% 405.66 130% ; 424.51 14341
X 406.05 13121 424.90 14367
Y8 406.44 13147 % 423.29 14394
S -.~ 13172 % 425.69 14420
% 407.23 13198 % 426.08 14447
3A 407.62 13223 % 426.47 14473% 408.02 13248 % 426.87 14500
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308
C IA C (
Dia. I Circurn. I Area——
136. 427.26 14527
% 427.65 14553
x 428.04 14580% 428.44 14607
% 428.83 14633
% 429.22 14660
% 429.61 14687
% 430.01 14714
137. I 430.40
%%
%
%%
%
436.68
437.08
437.47
437.86438.25
438.65
439.04
439.43
1517515203
15230
1525815285
15313
15340
15367
140. 439.82
% 440.22
% 440.61y; 441.00
% 441.40
% 441.79
% 442.18
% 442.57
41. 442.97
% 443.36
g 443.75
/8 444.14
% 444.54
% 444.93
% 445.32
x 445.72
1539415422
15449
15477
15504
15532
1555915587
1561515642
15670
1569715725
1575315781
15809
1
Area
142. 446.11 15837?~ 446.50 15865
x 446.89 15893?~ 447.29 15921
?4 447.68 15949
96 448.07 159773A 448.46 16005
448.86 16033
143. 449.25 16061
% 449.64 16089
x 450.03 16117
450.43 16145
E 450.82 16173
% 451.21 16201
% 451.61 16229
% 452.00 16258
144. 452.39 16286
% 452.78 16314
x 453.18 16342
% 453.57 16371
% 453.% 16399~ 454.35 16428~ 454.75 16456
x 455.14 16485——
145. 455.53 16513
% 455.93 16542
% 456.32 16570
% 456.71 16599% 457.10 16627
% 457.50 16656
457.89 16684
% 458.28 16713
146. 458.67 16742
% 459.07 16770
% 459.46 16799
% 459.85 16827x 460.24 16856
~ 460.64 16885
3A 461.03 16914
B 461.42 16943
147. 461.82 16972
% 462.21 17000
% 462.6Q 17029
3A 462.99 17058
N 463.39 17087
% 463.78 17116
% 464.17 17145
% 464.56 17174
I.
%
X
%%
X%%%%
%
;
%17790
~
%
474.38
474.77
475.17
475.56475.95
476.35
476.74477.13
17908
17938
17%7
1799718026
1805618086
18116
477.52477.92
478.31
478.70479.09479.49479.88480.27
480.67481.06
481.45.
481.84482.24482.634S3.02
483.41
181461817518205
11826518295
18325
18355
18385
18415’
184461847618507
1853718567
18597
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309
C IA C (
?Dia. Circum. Area Dia. Circum. Area Dia. Circum. Area
1s4. 483.81 i8627 16Q. 502.&5 20106 166. 521.51 21642
s I 484.20 18658 >8 503.05 20138 B 521.90 21675;~
484.59 18688 X 503.44 20169 % 522.29 2170738 484.99 18719 % 503.83 20201 ?4 522.68 21740
% 485.38 18749 Y2 504.23 20232 % 523.08 21772
% 485.77 1&3779 % 504.62 20264 % 523.47 21805
% 4S6.16 18809 % 505.01 20295 % 523.86 21838
% 486.56 18839 ~8 505.41 20327 % 524.26 21871——
155. 486.95 18869 161. 505.80 20358 167. 524.65 21904
% 487.34 18900 % 506.19 20390 ~8 525.04 21937
% 497.73 18930 x 506.58 20421 X 525.43 21969$8 488.13 18%1 % 506.98 20453 pa 525.83 22002
% 488.52 18991 % 507.37 20484 ~ 526.22 22035
96 488.91 19022 % 507.76 20516 % 526.61 22068
3A 489.30 19052 % 508.15 20548 3A 527.00 22101
Xl489.70 19083
%508.55 20580
~8527.40 22134
156. 4S0.09 19113 162. 508.94 20612 168. 527.79 22167>~
490.48 19144 ~ 509.33 20644 % 528.18 22200
x 490.88 19174 x 509.73 20675 x 528.57 22233
3A 491.27 19205 3A 510.12 20707 % 528.97 22266
; 491.66 19235 % 510.51 20739 % 529.36 22299
492.05 19266 ~8 510.90 20771 % 529.75 22332
% 492.45 19297 3A 511.30 20803 3A 530.15 22366
% 492.84 19328 ~8 511.69 20835 ~8 530.54 22399
157. 493.23 19359 163. 512.08 20867 169. 530.93 22432
~ 493.62 19390 ; 512.47 20899
494.02B 531.32 22465
19421 512.87 20931 x 531.72 22499
96 494.41 19452 % 513.26 20964 3A 532.11 22532
Y2 494.80 19483 % 513.65 20996 ~ 532.50 22566% 495.20 19514 % 514.04 21028 % 532.89 22599
% 495.59 19545 % 514.44 21060 x 533.29 22632
B 495.98 19576 Y8 514.83 21092 % 533.68 22665——
158. 4%.37 19607 164. 515.22 21124 170. 534.07 22698
% 496.77 1%38 % 515.62 21157 ~ 534.47 22731
% 497.16 19669 ~ 516.01 21189 534.86 22765y~ 497.55 19701 ?$ 516.40 21222 % 535.25 22798
% 497.94 19732 % S16.79 21254 % 535.64 22832
% 498.34 19763 % 517.19 21287 % 536.04 22865
% 498.73 19794 % 517.58 21319 % 536.43 22899
% 499.12 19825 x 517.97 21351 78 536.82 22932
159. 499.51 19856 165. 518.36 21383 171. 537.21 22966% 499.91 19887 % 518.76 21416 g 537.61 22999
x 500.9 19919 % 519.15 21448 x 538.00 23033
3/8 500.69 19950 ?’6 519.54 21481 y~ 538.39 23066
% 501.09 19982 % 519.94 21513 % 538.78 23100
% 501,48 20013 % 520.33 21546 % 539.18 23133
3A M1.87 20044 3A 520.72 21578 % 539.57 23167
% S2.26 20075 % 521.11 21610 5 539.% 23201.
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C IA C ( c o n
Dia. Circum. Area Dia. Circum. Area
178. 559.21 24885 184. 578.05 26590
% 559.60 24920g
578.45 26626% 559.99 24955 x 578.84 26663
% 560.38 24990 3A 579.23 26699~ 560.78 2%25 % 579.63 26736
% 561.17 25060 % 580.02 26772~ 561.56 25095 % 580.41 26808
~8 561.95 25130 % 580.80 26844
179. 562.35 25165 185. 581.20 26880
~ 562.74 25200 ?’6 581.59 26916
563.13 25236 x 581.98 26953
% 563.53 25271 % 582.37 26989
g 563.92 25307 % 582.77 27026
564.31 25342 % 583.16 27062
% 564.70 25377 % 583.55 27099
% 565.10 25412 ~8 583.95 27135
180. 565.49 25447 186. 584.34 27172
565.88 25482 B 584.73 27208
E 566.27 25518 x 585.12 27245
% S6.67 25553 % 585.52 27281
Y2 567.06 25589 % 585.91 27318
% 567.45 25624 ~ 586.30 27354
% 567.84 25660 x 586.59 27391
~8 568.24 25695 ~8 587.09 27428
181. 568.63 25730 187. 587.48 27465
% 569.02 25765 ~ 587.87 27501
x 569.42 25801 % 588.27 27538
% 569.81 25836 3A 588.66 27574S 570.20 25872 % 589.05 27611
% 570.59 25908 % 589.44 27648
% 570.99 25944 3A 589.84 27685
~8 571.38 25980 % 590.23 27722——
182. 571.77 26016 188. 590.62 27759
; 572.16 264351 ; 591.01 27796
572.56 26087 591.41 278333A 572.95 26122 3A 591.80 27870
% 573.34 26158 % 592.19 279Q7~ 573.74 26194 % 592.58 27944
% 574.13 26230 % 592.98 27981
% 574.52 26266 % 593.37 28018
183. 574.91 26302 189. 593.76 28055
% 575.31 26338 % 594.16 28092
x 575.70 26374 % 594.55 28130
% 576.09 26410 % 594.94 28167~ 576.48 26446 % 595.33 28205
% 576.88 26482 % 5U5.73 28242
% 577.27 26518 x 5%.12 28279
Y8 577.66 26554 ~8 5%.51 28316
II
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311
C IA C (
?Dia. Circum. Area Dia. Circum. Area Dia. Circum. Area
190. 5%.90 26353 196. 615.75 30172 202. 634.60 320471,//8 597.29 28390 % 616.15 30210 ~8 635.00 32086Id 597.68 28428 x 616.54 30249 % 63S.40 3212636 598.08 28465 % 616.93 30287 >8 635.79 32166il 598.47 28503 ~ 617.32 30326 % 636.18 32206;: 598.86 28540 % 617.72 30364 % 636.S7 32246
% 599.25 28578 ~ 618.11 30403 % 636.97 32286
% 599.64 28615 ?’4 618.50 30442 B 637.36 32326
191. 600.04 28652 197. 618.89 30481 203. 637.74 32366
~ 600.44 28689 % 619.29 30519 ?“6 638.15 32405
600.83 28727 g 619.68 30558 % 638.54 32445
601.22 28764 620.08 305% 58 638.93 32485
% 601.62 28802 Z? 620.47 30635 % 639.32 32525
>4 602.01 28839 % 620.86 30674 % 639.72 32565
% 602.40 28877 x 621.25 30713 % 640.11 326435~8 602.79 28915 vu 621.64 30752 ~ 640.50 32645
192. 603.19 28953 198. 622.04 30791 2W. 640.88 32685
% 603.58 28990 % 622.44 30830 % 641.28 32725
x 603.97 29028 % 622.83 30869 x 641.67 32766:.4 604.36 29065 3/8 623.22 30908 642.07 32806
% 604.76 29103 % 623.62 30947
;642.46 32846
% 605.15 29141 % 624.Oi 30986 % 642.85 32886
% 605.54 29179 x 624.40 31025 % 643.24 32926
~8 605.94 29217 % 624.79 31064 % 643.63 32966
193. 606.33 29255 199. 625.18 31103 205. 644.03 33006
% 606.72 29293 % 625.58 31142 ; 644.43 33046
%607.11 29331
% 625.97 31181644.82
330873A 607.51 29369 3/8 626.36 31220 3/8 645.21 33127
% 607.90 29407 %>5 626.76 31263 645.61 33168
% 608.29 29445 % 627.15 31299 % ~.~ 33208
% 608.58 29483 3A 627.54 31338 % 646.39 33249
% 609.08 29521 ~8 627.94 31377 % 646.78 33289
194. 609.47 29559 2W. 628.32 31416 2@5. 647.17 33329
% 609.86 29597 g 628.72 31455 % 647.57 33369
% 61026 2%36 X 629.11 31495 x 647.96 33410
3A 610.65 2%74 629.51 31534 >s 648.35 33450S 611.05 29713 2 629.S(3 31574 ti 648.75 33491
% 611.43 29751 % 630.29 31613 % 649.14 33531
% 611.83 29789 % 630.58 31653 % 649.53 33572
78 612.29 29827
~8631.08 31692 ~8 649.93 33613
195. 612.61 29865 201. 631.46 31731 207. 650.31 33654
% 613.00 29903 % 631.86 31770 650.71 33694
% 613.40 29942 x 632.26 31810 z 651.10 33735
% 613.79 29980 ?5 632.65 31849 % 651.50 33775
M 614.18 30019 % 633.05 31889 % 651.89 33816
% 614.57 30057 % 633.43 31928 % 652.28 33857
% 614.97 30096 % 633.83 31%8 % 652.57 33898
7/8 615.36 30134 ~8 634.29 32007 y8 653.07 33939
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312
D
3..
C F
I II.— .—.
t
\ Y
s
I
H O f i lO N T A LP E N I N G O RE R T I C A LP E N
N O T E S : .l l m a t e r i a la r b o nt e e l2 .l le l d s/ 8 ”o n t i n u o u si l e te l d3 .h ea v i ta se e ne s t e dg a i n s tx c e s s i v ee f l e c t i o4 .s i n ga v i te s so o m se q u i r e dh a ni t hh si n5 .o rr e q u e n t l ys e dp e n i n g ,a v i t sr e f e r r e dinge
STIFFENER I l I >
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313
FIXED STAIR
AND HEALTH (OSHA) STANDARDS
F i x e dt a i r si l l er o v i d e dh e r ep e r a t i o n se c e s s i t a t ee g u l a rr a v ee t w ee v
F i x e dt a i r w a y sh a l l ee s i g n e d oa r r yl o a d fi v ei m e sh eo r m ai vo an t i c i
b u te v e re s sh a n oa r r ym o v i n go n c e n t r a t e do a d f, 0 0 0o u n d s
M i n i m u mi d t h : 2n c h e s
A n g l e ft a i r w a yi s e oh eo r i z o n t a l : 0e g r e e s .
R a i l i n g sh a I l er o v i d e d nh ep e ni d e s fl lx p o s e dt a i r w a y s .a n d r ah
p r o v i d e d n te a s tn c ei d e fl o s e dt a i r w a y s ,r e f e r a b l y nhi g hi de s c e n
E a c hr e a dn do s i n gh a l l ee a s o n a b l yl i p - r e s i s t a n t .
S t a i r sa v i n gr e a d s fe s sh a ni n e - i n c hi d t hh o u l da v ep e ni s e r sp er a t y
t r e a d sr ee s i r a b l eo ru t s i d et a i r s .
S e ei g u r eo ri n i m u mi m e n s i o n s .o l t s iB o l to l e s1 6 0
A l lu r r sn dh a r pd g e sh a l l ee m o v e d .
D i m e n s i o n s fi s e sR )n dr e a du n sT )a b u l a t e de l o w :
K - -A n g l e oi s er e a du n
H o r i z o n t a l i nn c h e e ~i nn c h e a )
3 0 °
7
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HINGE
+iii’’”k-bN O T E
F i tu g sn di n oh a ti n so o s ew h e no v e r so l t e dp .e l du g st ol a n g e si t hu l le n e t r a t i o ne l d .
T h es e fa v i tr e f e r r e d oi n g e ,s p e c i a l l yf o rr e q u e n t l ys e dp e n i n g s ,
A = ~ R 2( R / a ) 2
B = ~ R 2( R / 2 +/ 1 6t
c = R + 2 4 – A
D = R + 2’/2 – B
R s R a d i u s fl a n g er = t i m e si a m - e t e r fo l e
D i a m e t e r fo l eP i ni a m e t e r1I 1 6n .
T H I C K N E S S ,O FU G S
ICl
L U G - AE L D EB L L
D .
I
L U G - BE L D EF L
AND DIAMETER OF PINS
R A T I N GI 1 5 0 #
I300*
3 / 4/ 4/ 4/ 4/ 4/ 4/ / / 1
F L G .IAM. 12 1 4 6 8 0 41 2 2
3 / 4/ 41 1 1 3 / /1 1 1 1
R A T I N GI 900*
I I
I
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- .“
LADDER
S I D ET E PT H R O U GT
2 7n. min.3 0n. max.
2 n. min.30 in. max.
m
SIDE R[note
uin
N O T E S
1 .a g e so te q u i r e dh e r eh ee n g t h fl i m b se el e b orl e v e l .
2 .o r i z o n t a l l yf f s e ta n d i n gl a t f o r mh a l l er o v i d e de av ef oc l i m b i n ge n g t h .h e r ea f e t ye v i c e sr es e d ,e s tl a t f o r mh ap r oa ta x i m u mn t e r w a l l s f5 0e e t .
3 .l la t e r i a l :t e e lo n f o r m i n g oS T M3 64 .n s t e a d fh eb o v ep e c i f i e dt r u c t u r a lh a p e snt h et r u c t t
e q u i v a l e n tt r e n g t ha y es e d . ov o i da m a g e su r i nh i p pg a li n g ,t r u c t u r a ln g l e sr ei d e l ys e do ri d ea i lne r t i ce m btc a g e .
5 .h ee c o m m e n d e di n i m u mi z e fi d ea i l sn d e ro r m at m o s p hot i o n1 / 23 / 8n .l a ta r ,l t h o u g hx 1 / 4a r sr er e q u e n t lsp r a
6 .l lu r r sn dh a r pd g e sh a l l ee m o v e d .7 .r o t e c t i v eo a t i n g :n eh o po a tr i m e rn dn ei e lo ap a ih
g a l v a n i z i n g .
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316
M I S T E X T R A C T O R
M i s tx t r a c t o r s ye p a r a t i n gi s t ,n d e s i r a b l ei q u i d sr oa p ot ei q
e t c .m p r o v eh ee r f o r m a n c e fa r i o u sr o c e s sq u i p m e n t s .h a n
t u r e dr o me t a l rl a s t i ce s hn dv a i l a b l e nne q u i ri h
Q e t ‘ m4
d - C
d - A B
T Y P E S FI S TX T R A C T O R S
\ I
D E T A I LA D E TC
S U P P O R T FI S TX T R A C T O R S
U s eI 1 2 . 5eam support in center of mist extractor, when the diameter is greaterthan 6 ft.
SPECIFICATION
THICKNESSOF PAD ~>,6>
THICKNESSOF WIREWIRE
.011“ .011“
MESH MATERIALOF WIRE TYPE 304 S.S. TYPE 304 S.S.
DENSITY lb./Cu. ft. 9.0 5.0
PRESSURE DROP 0.5” TO 1“ WATERGAGEMATERIALCARBONSTEEL
BEARING BAR 1“x3/16“ lx3/16°
G R I DR O S SA R 4qi
B E A R I N GA RP A C I N G- 9 / 1 -
C R O S SA RP A C I N G
W E I G H Tb . / s q .t . .
W I D T H FN EE C T I O N 2
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’317
NAME PLATE
Pressure vessels built in aemrdanee with the requirements of the Code maybestampedwiththeofficialsymbol ”U”todenoteTheAmerican SocietyofMechaniealEngineers’standard.
Pressurevessels stampedwith theCode-symbolshallbemarkedwith the following:1. manufacturer’same;preeededwiththewords:“eertifledby”;
maximumallowableworkingpressure,(MAWP)psiat temperature,°F;minimumdesignmetaltemperatureat pressure,psi;(MDMT)manufacturer’serialnumbeq(S/N)“yearbuiltAbbreviationsmaybe usedasshowninparenthesis.
2. theappropriateabbreviationsndicatinghe typeofccmstruction,exvice,etc.astabulated:Wheninspectedbya user’sinspector USERArcorgaswelded wLethalseMce LUnfiiedsteamboiler UBDirectfting DFFullyradiographedandUW-ll(a) (5)notapplied RT 1JointsA&D fullyradiographed;UW-1l(a) (5)(b)applied RT2Spotradiographed RT3WhenRT1,RT2orRT3are notapplicable RT4Postweldheattreated HTPartofthevesselpostweldheattreated PHTNonstationa~PressureVessels NPV
1.S y m b o lUM”s h a l l es e dh e nh ee s s e l sx e m p t e dr o mn s p e c t i o nC o d e- l ( k )
2 ,o re s s e l sa d ef 5 % ,Y 0n dY 0i c k e lt e e l s ,h es e fa m e p l a t e s sa n d a t o r yoh eh i c k neMi n . ;a m e[ a t e sr er e f e r r e d nl lh i c k n e s s e s .o d eL T - 15 ( c )
— -
[
N A M EL A T
E X A M P L
( T h ee s s e lan s p e c tu s
inspector,arcwelded,usedin lethals e r v i c e ,
usedon skirts, supports,etc., it shallbe marked: “Duplicate”.Letteringsizes h a l l eo te s sh a n/ 3 2n .i g h .h eo d e - s y m b o lne r iu m
s h a l l et a m p e d ,h et h e ra t aa y et a m p e d ,t c h e d ,a s tm p r e s s e
Commonlyu s e da t e r i a lo ra m el a t e. 3 2n .t a i n l e s st e e l) na r bt eT h ea m el a t eh a l l ee a le l d e d on i n s u l a t e de s s e l ro u n t e db r a ctv e s s e l sn s u l a t e d ,n do c a t e d no m ep l a c e ;e a ra n w a y si q e
c o n t r o l ,e v e la g e ,b o u tf tb o v er o u n dt c .
USER C E R T I F I E D Y
ml OMEGA TANK CO.MAWP250 650°FMDMT 650°F at 250 psi
S/N-19560b 1996
W - L T
H T
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318
PLATFO RM
Conforms
P l a t f o r m sh a l l ea b r i c a t e d ne c t i o n s
i fe c e s s a r yu i t a b l eo rh i p p i n gn d
f i e l dr e c t i o n .
P l a t f o r m sa b r i c a t e d ne c t i o n sh a l l
b eh o pi t t e d ,a r k e dn dn o c k e d
d o w no rh i p p i n g .
A l li e l do n n e c t i o n sr e o eo l t e d .
M a n u f a c t u r e rh a l lu r n i s h0 %x t r a
b o l t s fa c hi z e so rp a r e .
A l lu r r sn dh a r pd g e sh a l l ee -
m o v e d .
P a i n t :n eh o po a tr i m e r ,x c e p t
w a l k i n gu r f a c e s .
M a x .p a c i n g fu p p o r t sf t .
M a x .p a c i n g fa n d r a i lo s t sf t .
D r i l ln e/ 1# d r a i no l e nh e c k e r e d
p l a t eo ra c h 0q .t .r e a fl o o r .
B o l t s/ 2
B o l to l e s/ 1 6
7
3 f . 6 an. max.
t
.30 an,min.
jA%’&l/4
IFiANORAl L POST
ANGLE 2x2x3/8
MI DRAILBAR 2.1/4
S E C T I O– A-
4Clearance
I
$CHECKERED PLATE
-— -——. —r—— ——-
1/4 BENT PLATE
---+FCHANNEL 6x8.2
A L T E R N A T I VU P P
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SKIRT OPENINGS
1/4 IN CONTINUOUS
FILLET WELO
/ INSIOE ANO
VENT HOLES
PIPE
OPENING
u
I ne m i c ey d r o c a r b oo t
c o m b u s t i b l ei q u ig a
s k i r t sh a l lr o v i di i
m u m fwi n ce o
c a t e d si go s s i be g
a p a r t .he no lh l
h e a dn s u l a t i o n .ol e
u s e do u p l i n gi p
ACCESSOPENINGS
The shape of openings maybe circular o ny other shapes.Circular openings are usedmost frequently with pipe o bentplate sleeves. The projection ofsleeve equals t hhickness offireproofing minimum 2 inches.The projection of sleeves shall beincreased when necessary for rein-
forcing the s k i rnder certain load-ing conditions.
D i a m e t e rD1 6 -n c
PIPEOPENiNGS
The shape of pipe openings cir-cular with a diameter of 1 inch lar-
ger than the diameter of flange.Sleeves should be provided a fora c c e s spenings.
T Y P E S FK I R TC C E S S E S
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320
VORTEX BREAKER
T h eu r p o s e fo r t e xr e a k e r s s ol i m i n a t ehn d e s i r a bo r tl i q u i d s .
C r o s sn dl a t - p l a t ea f f l e sr er e q u e n t l ys e di t hw i d tt win o z z l ei a m e t e r .
F o rh i g he g r e e ff f e c t i v e n e s sn d e re v e r ew i r l i n go n d i t i oit h ea f f l eh o u l d eo u ri m e sh eo z z l ei a m e t e r .he i gb ous h o u l d eb o u ta l fh eo z z l ei a m e t e ru ta ye v e r an c hr e ql a r g e rl e a r a n c eo rt h e re a s o n s .
q
. ,
. -.— —
- -. -
. —
2D
tl
+
F--i
%
3I -
62 3
.————. — ——
— . .— —
V O R T E X I N G FI Q U I D $
2D
tl
+
F L A TN DR O S SL A T EA F F L E S
M a t e r i a l :/ 4a r b o nt e e ll a t e rr a t i n gi t h
O = D I A M E TP
GRATING’
I11 I
II
>u
r r i 1
I
G R A T I NA F
x 1 - 1 /a r s
R e f e r e n c e : . .a t t e r s o nV o r t e x i n ga n er e v e n t e dhJ o u r n a l ,u g u s t ,9 6 9 .
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321
PART III.
MEASURES AND WEIGHTS
1. Table ofProperties ofPipes, Tubes. . . . . . . . . . . . . . . . . . . . . . . . . . . 322
2. Dimensions............................................................................................ 334of Heads, Flanges, Long Welding Necks, Welding Fittings,ScrewedCouplings.
3. Weight..----ti ------------- ------------------------- ----- 374of Shells and Heads, Pipes and Fittings, Flanges,Openings,Packingand Insulation,Plates,CircularPlates,Bolts.
5, AreaofSurfaces ofShells andHeads. . . . . . . . . . . . . . . . . . . . . . . . . . 425
6. ConversionTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 426DecimalsofanInch, Decimalsofa FooCMetricSystem,Inchesto Millimeters,Millimetersto Inches, Square Feetto Square
Meters, SquareMeters to SquareFeet, Poundsto Kilograms,Kilograms to Pounds, U.S. Gallon to Liters, Liters to U.S.Gallons,PoundsperSquareInches toKilogramperCentimeter,KilogramperCentimetertoPoundsperSquareInch,DegreestoRadius,Minutesand Secondsto Decimalsofa Degree,Centi-
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323
P R O P E R T I E S FI P Ec o n ’.
SNom-inalpipesize
V e i g h tiesigmion
Outsidtdiam.in.
2.375
2.375
9.375
2.3759,375
2.375
2.875
2.8752.875
2.875
2.875
2.875
Insidediam.in.
Wallthick-nessin.
Weighiperfoot
“lb.
) u t su r f a) e tq f t
Insidesurfacper ft.Sq. ft.
Trans-verseareasq. in.
;
k a
t
Stain-lesssteels
.188
.218
.250
.312
.343.436
4.380
5.022
5.673
6.8837.450
9.029
1.363
1.279
1.196
1.041.767
.769
.622
.622
.622
.622
.622
.622
.5237
.5074
.4920
.4581
.442$
,3929
“
i
. . .
2‘
80s,,,... . .. . .
. . .X-stg.
...
..,
: X - s t g
1 0 s
4 0 s
8 0 S
. . .
. . .
2.6352:469
2,441
2.323
. 1 2 0
.203
.217
,276
.375
.552
3 . 5 35 . 7 96 , 1 6
7 . 6 6
13.69
2 . 3 62 . 0 72 . 0 2
1 . 8 31 . 5 31 . 0 6
.753
.753
.753
.753
.753
.753
.6900
.6462
.6381
.6095
.5564
.4627
5.453
4.7884.680
4.238
3.547
2.464
40 80
160
. . .
21
1
. . .
40s
.
S............
3.5003.500
3.500
3.500
3.500
3.500
3.5003.500
3.500
3.500
3.500
3.500
3.500
.853
.851
.940
.819
.802
.790
.785
.765
.761
.753
.704
.687
.601
.120,125.148
,188.2)6.241
254.289.300
.312
.406
.438
.600
4.334.52
5.30
6.65
7.57
8.39
8.80
9.910.25
0.64
3.424.32
8.58
3.623.60
3.52
3.34
3.20
3.10
3.06
2.912.86
2.812.46
2.341.80
. 9
. 9
. 9 1
. 9
. 9
. 9
. 9
. 9
. 9
. 9 1
. 9 1
. 9 1
. 9 1
8.3468.300
8.100
7.700
7.393
7.155
7.050
6.700
6.605
6.492
5.6735.407
4.155
. . .
. . .
. . .
. . .40,.
. .
“80
. . .
;60. . .
. . . ., . .
std.’
....
..,< - s t g .
. . . .
. . . .
. . .
X - s t g .
3
1 0 s
.
. . .
. . .
4 0 s
8 0 S
. . .
. , .
. . .
3.760
3.744
3.732
3.7043.624
3.548
3.438
3.364
3.312
3.062
2128
. 1 2 0.97
5.38
5.58
6.267,71
9.11
11.17
I2.51
13.42
I
4.81
4.78
4.754.66
4.48
4.28
4.02
3.85
3.73
3,19
2.53
1.047I.047
I.047I.047I.047
I.047
1.047
1,047
1.047
I.047
1,047
.984
.981
.978
.971
.950
.929
.900
.880
.867
.802
.716
1.115
1.111
:
1.105
1.093
1.082
1
13.7510.32
9.89
9.28
8,89
8.62
7.37
5.84
. . .
. . .
, . .. . .
4 0
8 0
. . .
. . .
. . .
. . . .
. . .
. . . .
. . . .
31
F
.
. . .
4
4
4
4
4
.1?8
.134
,142
,165
.188
5.61
5.99
6.26
6.61
7.64
8.56
6.18
6.14
6.1 i
6.06
5.99
5.80
. . .
. . .
. . .
.
. . . . . .
4
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324
P R O P E R T I E S FI P Ec o n ’.
Schedule No.Nom-inalpipesize
;tain-essteels
)utsidtliam-rt.
4.500~,:()()
4.500
4.500
4,500
4,500
4.500
4,500
4,500
4.500
4.500
4.500
4.500
,l
in.
w a l lw t~ater]er ft.
lUrliice
)er
[;
Tranversareasq.
‘arboralloj
eels
4.090
4026
4.000
3.958
3.938
3.900
3.876
3826
3750
3.624
3.500
3.438
3.152
.205
.’237
,250
,271
.281
.300
.312
.337
.375
.438
.500
.531
.674
939
10.79
1135
12.24
12.67
13.42
14.00
14,98
16.52
19.30
21.36
2260
27.54
5.71
5.51
5.45
5.35
5.27
5.19
5.12
4.98
4,78
1 1 13.
12,
12.
12.
12,
11.
11.
11.
11.
10,
9.
9.
7.
40
.
80
120
160
. . .
40s
,.,
80S
. . .
. . .
. . .
. . .
4I
5.563
5.563
5.563
5.563
5.563
5.563
5.563
5.563
6.625
6.6256.625
6.625
6.625
6.(525
6.695
6.625
6.625
6.625
6.625
6625
6.695
6.625
8,625
8.625
8.625
8.625
8.625
8.625
5.295
5.047
4.859
4,813
4,688
4.563
4.313
4.063
.134
.258
.352
.375
.437
.500
.625
.750
7.770
14.62
19.59
20.78
23.95
27.10
32.96
38.55
1.456
1,456
1.456
1,456
1.456
1.456
1.456
1.456
1.386
1.321
1.272
1.260
1.227
1.195
1,129
1.064
1 0 s40s
80S
. . .
. . .
. . .
. . .
1 0 s
. . .
.
.
. . .
4 0 s
8 0 S
. .
. . .
1 0 s
. . .
. . .
. . .
. , .
, . .
9.54
8,66
8.06
7.87
7.47
7.08
6,32
5.62
22.0
20.0
18.
18.
17.
16.3
14,
12.
. . .40
.
80
120
160
. . .
. . .
. . .
. . .
. . .
. . .
. . .
40
. . .
80
120
150
. . .
. . .
. .
. . .
. . .
. . .
5
6
8
6.357
6.2876.265
6.24?
6.187
6.125
6.011
6.065
5.875
5.761
5.625
.134
.169
.180
.188
.219
.250
.277
.280
.375
.432
.500
.562
,718
.864
9.29
11.5612.50
12.93
15.02
17.02
18.86
18.97
25.10
28.57
32.79
36.40
45.30
53.16
13.40
14.26
14.91
16.90
18.30
19.64
13.70
13.4513.38
13.31
13.05
12.80
12.55
12.51
11.75
11.29
10.85
10.30
9.15
8.14
I.735
I.735I.735
I.735
I.735
I.735
1.735
I.735
I.735
I.735
I.735
I.735
I.135
1.735
1.660
1.6501.640
1,639
1.620
1.606
1.591
1.587
1.540
1.510
1.475
1.470
1.359
1. 280
2.180
2.178
2.175
2.161
2.152
2.148
31.7
31.30.
30.
30.
29.5
28.
28.
27.
26.
24.
23.
21.
18.
. . .
. . ,
std.
X-stg.
Xx-stg
.., .
. . . .
. . . .
. . . .
. . . .
.,.
54.
54.
54.
53.
53.
52.
.148
.158
.165
.188
.203
.219
23.6
23.6
23.5
23.2
23.1
22.9
2.26
2.26
2.26
2.26
2.26
2.26
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P R O P E R T I E S FI P Ec o n ’.
Schedule No.
Nominal
pipe
size
Weightdesignation
;tain -essteels
. .
.,.
40s
. . .
,,.
.
. . .
80S
. .
,..
. . .
. . .
. . .
10s
.,.
. .
. .
. .
,..
,..
40s
80S
. .
.,.
.,,
. . .
. . .
. . .
. . .
10s
,,.
. . .
)utsidliam- l
:nsi deiiam.in.
thick-nessin.
Weightperfoot
lb.
01waterper ft.pipe It
Outs idiurface>er ft.;q. ft.
Insidesurface)er ft.iq. ft.
Iarboni alloyteels
Trans-versemea$q.
8.625
8.6258.625
8.625
8.625
8.625
8.625
8.625
8.625
8,625
8,625
8.625
8.625
8.625
8.625
8.625
.238
.250.277
.322
.344
.352
.375
.406
.469
.500
.593
,6~5
.718
.812
.875
.906
22.7
22.522.2
21.6
21.4
21.3
21.1
20.8
20.1
19.8
18,8
18,5
17.6
16.7
16.1
15.8
36.9
36.7
36.5
36.2
35.9
35.3
35.0
34.4
34.1
33.7
32.3
31.9
31.1
29.5
29.1
27.9
26.1
25.3
24.6
52.9
52.0
51.7
51,5
51.3
2.26
2.262.26
2.26
2.26
2.26
2.26
2.26
2.26
2.26
2.26
2.26
2.26
2,26
2.26
2.26
52.2
51.851,2
50.0
49.5
49.3
48.7
47.9
46.4
45.6
43.5
42.7
40.6
38.5
37.1
36.4
85.3
84.5
84.0
83.4
8?,6
81.6
80.7
79.3
78.9
77.9
74.7
73,7
71.8
68.1
67.2
64.5
60.1
58,4
56.7
120.6
119.9
119.1
118.5
118.0
2 0
. . .
.
. . .
. . .
. . .
. . .
.
. . .
. , .
. , .
. . . .
. . .
. . .
8
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 , 7 5 0
0 . 7 5 0
0 . 7 5 0
0 . 7 5 0
0 7 5 0
0 . 7 5 0
0.420
0.374
0.344
0.310
0.250
0,192
0.136
0.054
0.020
9.960
9.750
9
.165
.188
.203
.219
,250
.279
.307
.348
.365
.395
.500
.531
.593
.718
.750
.843
I,000
1,063
1.125
.180
.203
.219
.238
.256
18.65
21.12
22.86
24.60
28.03
31,20
34,24
38.66
40.48
43.68
54.74
57.98
64.40
77,00
80,10
89.20
04.20
09.90
i 6.00
24.16
27.2
29.3
31.8
33.4
2.81
2.81
2.81
2.81
2.81
2.81
2.81
2.81
2.81
2.8 I
2.81
2.81
2,81
2.81
2.81
2.81
2.81
2.81
2.81
3.34
3.34
3.34
3.34
3.34
2.73
2.72
2.71
2.70
2.68
2.66
2.65
2.64
2.62
2.61
2.55
2.54
2,50
2.44
2.42
2.37
2.29
2.26
2.22
3.24
3.23
3.22
3,22
3.12
. . .
, . ,
, . ,
. . ,
. . .
. . .
. . . .
,
. . . .
. . .
. . . .
. . . .
. . . .
. . .
. . .
. . .
. . .
. ..
1 2
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326
P R O P E R T I E S FI P Ec o n ’.
Weightiesignelion
. . . .
.
.
. . . .
. . . .
Iu
S~hel
~isrbOrallo)
eels
t No.
tNominalpipesize
Outsidtjiam-n.
12.750
1 2.750
12.750
12.750
I 2.750
12,750
12.750
12.750
I 2.750
12.750
12.750
12.150
12.750
12.750
12.750
12.750
12.750
I~
1
1 2 . 1 C
12.090
12.062
I2.000
11.938
11.874
11 750
11.626
11.500
11.376
11.064
11.000
10.750
10.500
10.313
10.126
w a l lthi~ k-nessin.
.279
. 3 0 0
. 3 3 0
. 3 4 4
. 3 7 5
. 4 0 6
. 4 3 8
. 5 0 0
. 5 6 2
. 6 2 5
. 6 8 7
. 8 4 3
. 8 7 5
1 . 0 0 0
1 . 1 2 5
1 . 2 1 9
1 . 3 1 2
~t’eghtperroot
lb:
Mt.01v
)u
rranerseIreaq. i
37,2
40.0
43.8
45.5
49.6
53.6
57.5
65.4
73.2
80.9
88.6
108.0
110.9
125.5
140.0
150.1
161.0
50.7
50,5
49.7
49.7
48.9
48.5
48.2
46.9
46.0
44.9
44.0
41.6
41.1
39.3
37.5
36.3
34.9
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.34
3.67
3.67
3.67
3.67
3.67
3.67
3.67
3.67
3.67
3.67
3.67
3.67
3.673.67
3.67
3.67
3.67
3.67
3.67
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
33 .
3
3
3
9
2
116
116
114
114
113
111
111
108
106
103
40s
.,.
80S
. .
.,,
. . .
.
. . .
1 2CONT.]
I4.000
I4.000
I4.000
I4.000
I4.000
I4.000
I4.000
I4.000
I
I
I
I
I1 4 . 0 0 0
14,000
14.000
14.000
14.000
14.000
t 3.624
I 3,560
13.524
13.500
13.375
I 3.250
I 3.188
1 3 . 1 2 4
1 3 . 0 6 2
1 3 . 0 0 0
1 2 . 8 1 4
1 2 . 7 5 0
1 2 . 6 8 81 2 . 5 0 0
1 2 . 1 2 5
1 1 . 8 1 4
1 1 . 5 0 0
1 1 . 3 1 3
1 1 . 1 8 8
.188
.220
.238
.250
.312
.375
.406
.438
. 4 6 9
. 5 0 0
. 5 9 3
. 6 2 5
. 6 5 6
. 7 5 0
, 9 3 7
1 . 0 9 3
1 . 2 5 0
1 . 3 4 4
1 . 4 0 6
28
32
35
37
46
55
58
63
6
7
8
8
91 0
1 3
1 5 1
1 7 1
1 8
I W
53.4
53.0
52.5
52.1
50.8
59.7
59.5
58.5
55.9
55.3
54.751.2
50.0
47.5
45.0
43.5
42.6
I
I
, . .
1 0
.
.
.
, . .
, .
. . .
. . .
. . . .
Std.
X-stg.
. . . .
1
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328
P R O P E R T I E S FI P Ec o n ’.
Schedule No.
~utsidi, Inside. per water surface surface verse
alloy ‘less tion in. in. ness foot per ft. per ft. per ft.:eels s
1 0. . . . . .
. . . ,
.
. . . . . .
. . .
. . . . . .
. . . . . .
. . . . . . . . . .
. . . . . . .
. . . . . . .
. . . . . . .
. . . . . . .
. . . . . . .
.
.
. . . . . . . .
. . . . . . . . . . .
. . . . . . . . . .
. .
. . . .
. . . . . . . . . . .
. . . . . . . .
. . . . . . . . 6
. . . . . 2 4 . 0 0 03 . 3 7 63 1 2 98 6 ..
2 04 . 0 0 03 , 2 5 03 7 5 58 3 ..
. ,4 . 0 0 03 . 1 2 54 3 71 08 1 ..
X . s t g ., .4 . 0 0 03 . 0 0 05 0 02 581.0
. . . .
. . . .
. . . . . . ,
. . . . . . . .
I
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329
P R O P E R T I E S FI P Ec o n ’.
1utsideurfa~eer ft.q. ft.
6.28
6 .6 .
6 .
6 .
6 .
6 .
6 .
6 .
6 .
6 .
6 .6 .
7 .
7 .
7 .
7 .
7 .
7 .
SWeightiesignalion
. .
. . . .
. . . .
n s i d ei a m .
a l lt
Veight)er‘Ootb.
wt.ofv
ft.tipe lb
nu
‘a
a
tain-
ss
eels
. . .
. . . .
. . . .
2 4 . 0 0 0
2 4 . 0 0 0
2 4 . 0 0 0
k ? 4 . 0 0 0
1 . 8 1 241.4
134.4130.9
127.0
5,33
5.205.14
5.06
6.68
6.64
6.61
6.58
6.54
6.51
6.48
6.45
6.41
——
7.69
7.66
7.62
7.59
7.56
7.53
1 2 0
140
160
2 I
i
6 . 0 0 0
2 6 . 0 0 0
2 6 . 0 0 0
2 6 . 0 0 0
2 6 . 0 0 0
2 6 . 0 0 C
2 6 . 0 0 C
2 6 . 0 0 02 6 . 0 0 0
3 0 . 0 0 C
3 0 . 0 0 C
3 0 . 0 0 (
3 0 . 0 0 (
3 0 . 0 0 (3 0 . 0 0 (
136
153
169
186
. . . .
. . . .
. , .
. . . .
. . . .
, . .
. . . .
. . . .
. . . .
. . . .
. . . .
. . . .
. . .
. . . .
. .
.
. , .
. , .
. . .
. . . .
. . . .
. . . .
. . . .
. .
, . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
1 0
. . .
677.8
672.0
666.2
660.5
654.8
649.2
)9.376
9.250
19.125
99
119
138
158
177
196
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w
A
I
l-mm
q
I
N
-
0
q0
-
N
m
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
O
,
,
,
,
,
,
,
,
,
,
,
u
q
q
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
, ,,
—
I
a
—
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332
PROPERTIES OF STEEL TUBING
Sq. Ft. Sq. Ft.K’all
\E x w r n a l Metal Area
O Do fh i c k -nlernal S u r f a c eu r f a c eh e o r e [ i c A DTransverseTubing ness Area Per Ft. Per Ft. W Tubing ODConstant Metal Area)I I L L Ft. L I c ID
.I
.1518 .604
I
I
]
. 0 6 04477 .229 I .1977 .522 .755 6987/8 .055
I.159 .1536.4596 .2291 .2003 .482 .765 717 1.144 .1417
7/8 .050 .4717 .2291 .2029 .441 .775 736 1.129 .1296
1 .150 .3848 .2618 .1833 1.362 .700 600 1.429 .40061 .135 .4185 .2618 .1911 1.247 .730 653 1.370 .36691 .125 .4418 .2618 .1964 1.168 .750 689 1.333 .34361 .110 .4778 .2618 .2042 1.046 .780 745 1.282 .30761 .105 .4902 .2618 .2068 1.004 .790 764 1.266 .29521 .095 .5153 .2618 .2121 .918 .810 804 1.235 .2701
I .085 .5411 .2618 .2: 73 .831 .830 844 1.205 .24431 .075 .5675 .2618 .2225 .741 .850 885 1.176 .21791 .065 .5945 .2618 .2278 .649 .870 927 1.149 .19091 .060 .6082 .2618 .23(M .602 .880 949 r. 136 .17721 .055 .6221 .2618 .2330 .555 .890 970 1.124 .16331 .050 .6362 .2618 .2356 .507 .900 992 1.1[ 1 .1492
Liquid velocityin feet/second : pounds per tube per hour
C x s g l
S gravity F = C o u r t e s y E A TX C H A NN S T
I I
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333
PROPERTIES OF TUBING
W w W ME I (
T l S S L L L vBWG ness ,Area per C S T C — V
I L L Inches C“ ID ,
I I I
i8 [ 12 01 6 46 3 61 0 0 87 0 57 3 86 4 73 8 g./8 [2 I0 91 3 0, 1 6 3 61 0 6 66 5 56 8 5601 ,4o7 2 0./8 13 , 0 9 51 4 8 61 6 3 61 1 3 95 8 66 1 35 3 84 3 3./8 14 . 0 8 31 6 5 51 6 3 6~ f 3 25 2 45 4 84 8 04 5 5./8 1 50 7 ~1 8 1 71 6 3 62 5 94 6 44 8 54 2 54 8 3. 2[.1 8 60 6 51 9 2 4. 1 6 3 61 2 9 64 2 44 4 33 8 94 9 0.263 I 144/8 [7 . 0 5 82 ( 3 3 5. 1 6 3 61 3 3 33 8 34 0 03 5 15 0 1.i8 18 , 0 4 92 1 8. 1 6 3 61 5 8 03 2 93 4 43 0 15 2 4./8 19 . 0 4 22 2 9 9I6 3 61 4 1 62 8 52 9 82 6 25 4 51 8 20 . 0 3 52 4 1 91 6 3 61 4 5 3~ 4 02 5 12 2 15 5 7. 3 ~ ~0 2 82 5 4 31 6 3 64 9 01 9 52 0 41 7 95 6 9.—/4 1 01 3 41 8 2 51 9 6 3~ 6 29 6 1. 0 0 58 8 24 8 8./4 1 1~ o2 ( 3 4 3. 1 9 6 31 3 3 58 8 09 2 08 0 75 1 1./4 12 . 1 0 9~ ~ 2 3. 1 9 6 31 3 9 38 1 38 5. 7 4 65 3 4./4 13 . 0 9 52 4 6 31 9 6 31 4 6 67 2 47 5 86 6 55 6 8. 3/4 [4 , 0 8 32 6 7 9. 1 9 6 35 2 96 4 46 7 45 9. 5 8 1./4 15 . 0 7 ~2 8 8 41 9 6 3[ 5 8 75 6 85 9 45 2 16 4 35.— — — —/ 4 16 I ./4 17
I‘;: 19l/4 20 I1/4 22 .
/8 108
~/8 12)/8 137/8 147/8 15 I
7/8 16 — —7/8 177/8 [8 I .777 740 .7/8 197’/8 20 17/8 22
1 , . . 1 1 1 1 .
1 , . , . 1 1 1
I .
1 .
, . 1 1 1 1 I[ . . . I 1[ . 0 8 35 4 6 32 6 1 82 1 8 38 8 6
1 .. 9 2 78 1 38 3 5
L 1 50 7 25 7 5 51 .
. 2 6 [ 82 ~ 4 17 7 88 1 47 1 48 5 9.— — —
1 16 .065 .5945 . 2 6 1 82 2 7 87 0 87 4 06 4 98 7 2.[[ [ 70 5 86 1 3 82 6 1 82 3 1 46 3 66 6 55 8 48 8 5.
i [ 80 4 96 3 9 02 6 1 82 3 6 15 4 25 6 74 9 89 0 9I [ 90 4 26 5 9 02 6 1 8 1 ., 2 3 9 84 6 84 9 04 3 09 I0I 20 .035 . 6 7 9 3
1 .. 2 6 1 82 4 3 53 9 34 1. 3 6 19 30 .
1 ~ 10 2 86 9 9 92 6 1 82 4 7 3 1 73 3 12 9 19 40. 0— —W o m — . c
‘ v f =p s w f
C x s g l 9 A 1
S g w F z7 A 7
7 A 1
C o u r t e s y fE A TX C H A N G EN S T I T U T EP 3 0 4t a i n l e st e1 .
I
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334
H
F o re s s e l s fm a l ln de d i u mi a m e t e r sl l i p s o i d a le a drs o
c o m m o n l y ,h i l ea r g ei a m e t e re s s e l sr es u a l l yu i l ti t he m i s p h e r i cf l a n g e dn di s h e de a d s .
H e a d sa y e fe a m l e s s re l d e do n s t r u c t i o n .
S T R A I G H TL A N G E
F o r m e de a d su t t - w e l d e d oh eh e l le e do ta v et r a i g h tl a n ghh e a d so th i c k e rh a nh eh e l lc c o r d i n g oh eo d ea r .G - 33 3i nr a c t i c ee a d sx c e p te m i s p h e r i c a lr es e di t ht r a i g h tl a n g e sT h es u a le n g t h ft r a i g h tl a n g e s :i n c h e so rl l i p s o i d a l ,1 /n c hf l a n g e dn di s h e dn di n c h e so re m i s p h e r i c a le a d s .
F o r m e de a d sh i c k e rh a nh eh e l ln du t t - w e l d e d oh a la vt r a. —f l a n g e .
Onthe following pages the data of the mostcommonlyusedheadsare listed.
Thedimensionsof flangedanddishedheadsmeetthe requirementsofASMECode.
W E I G H T FE A D Se ea b l e se g i n n i n g na g e7 4
V O L U M E FE A D Se ea w 1 6
SURFACE OF HEADS See page 425
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335
DIIU EN SIONS OF HEADS
nS Y M B O L SS E DHA B L
i n s i d ei a m e t e r fe m i s p h e r i c al l ih e a d s ,u t s i d ei a m e t e rA S l a
d i s h e de a d s .
i n s i d ee p t h fi s h& D h e a
= i n s i d ea d i u si sA S l ad i s h e de a d ss ef o r m un to rx t e r n a lr e s s u r e .
f a c t o rs e d no r m u l a son t e rr e
~ ~ d ~n u c k l el i u sS Ml a nd i.
w a l lh i c k n e s s ,o m i n a li n i m
A L L1 M E N S 1 O N SI N C H
D=
h =
L(R)
M=
r =
t =
H E M I S P H E R I C A L
E L L I P S O I D A L
D
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D I M E N S I O N S FEADS
A L LI M E N S I O N S NN C H E S
D
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m1 . 6 2 54 . 5 0 01 , 7 2
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26
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33
D I MNS IONS OF HEADSA L LI M E N S 1 O N S NN C H E S
D I A ME T E RD
WALLTHICKNESS
l% 17%
3 05 . 2 5 0
6 . 9 3 81 . 3 4
3 05 . 2 5 07 . 3 7 51 . 3 4
2 21A 3
L(R)rh
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304.8756.3751.36
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338
D I M E N S I O N S FE A D S
I N C H E S
DIAMETER
D
66
72
78
W A L LH I C K N E S S
I6
4
1
1
6
4
1
17
4
1
1
75
1
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5
1
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5
1
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6
1
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1
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1
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5 . 1 2 5
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1 . 7 79 0
5 . 5 0 0
1 5 . 1 2 5
1 . 7 79 6
5 . 8 7 5
. 6 . 1 2 5
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7 2
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339
DIMENSIONS OF HEADSA L LI M E N S 1 O N S NN C H E S
WALLTHICKNESS
D l604.500
1 1 . 5 0 0
1 . 6 56 6
4 . 5 0 0
1 2 . 3 1 3
1 . 7 2
7 2
4 . 7 5
1 3 . 2 5 0
1 . 7 27 8
5 . 1 2 5
1 4 . 2 5 0
1 . 7 28 4
5 . 5 0 0
1 5 . 2 5 0
1 . 7 2
8 4
5 . 8 7 5
1 7 . 2 5 0
1 . 6 99 0
6 . 1 2 5
1 8 . 1 2 5
1 . 7 29 6
6 . 5 0 0
1 9 . 2 5 0
1 . 7 21 0 8
6 . 8 7 5
1 9 . 3 1 3
1 . 7 51 0 8
7 . 2 5 C2 1 . 3 1 3
1 . 7 21 1 4
7 . 6 2 :
2 2 . 2 5 (1 . 7 2
1 2 0
8 . 0 0 C2 3 . 3 1 3
1 . 7 2
1 1
604.875[1 . 6 8 8
1 . 6 2664.875
12.5001.69724.875[3.2501.72785.125
14.188
1.72845.500
15.1881.72845,875
17.1251.69906.125
18.125
1.72966.500
19.1251.721026.875
20.1251.721087.250
21.2501.721147.625
22.1881.72
1208.000
23.2501.72
m 26
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13.125
1.41668.250
13.9381.46728.250
14.7501.48788.250
15.500
1.52848.250
16.3131.54848.250
17.8751.54
F8.250
18.6881.58968.250
19.5001.601028.250
20.3121.621088.250
21.1251.651148.250
21.9381.691208.250
22.7501.72
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12.125 12.438
L (R)rhM
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1 1 . 8 1 32 . 0 0 06
T.58 1.5866 66
5.250 5.62512.625 12.750 t
1 . 5 4.5066 666.000 6.750
12.938 13.250
L ( R )
rhM
7
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L ( R )rh
MErhM
5 . 2 5 0. 6 2 5
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1 . 6 57 8
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132
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340
DIM EN S1ONS OF HEADSDIMENSIONS IN I N C H E S
11AM WALLTHICKNESStTERD 5/8 % % 1 l% l;~ 13A l%
L ( R )3 23 23 23 23 23 3
1 ;8 . 3 7 5. 3 7 5. 3 7 5. 3 7 5. 3 7 5. 3 7. 3.
2 3 . 9 3 83 . 8 7 53 . 8 1 33 . 7 5 03 . 6 8 83 . 6 23 . 53 .M 1 . 7 5. 7 5. 7 5
. 7 5. 7 5. 7.
.L ( R )3 23 23 23 23 23 3
144 ;8 . 7 5 0. 7 5 0. 7 5 0. 7 5 0. 7 5 0. 7 5. 7.
2 5 . 8 7 55 . 8 1 35 . 7 5 05 . 6 2 55 , 5 6 35 . 5 o5 . 45M 1 . 7 2. 7 2. 7 2. 7 2. 7 2. 7. .
)IAM SEE W A L LH I C K N E S S: ~ E R$ : E1 5 A]3~
,lx 2 ‘ 21 23A 3—
L ( R )3 23 23 23 03 03 3
[38 ;8 . 3 7 5. 3 7 5. 3 7 5. 3 7 5. 3 7 5. 3 7. 3.
2 3 . 4 3 83 . 3 7 53 . 3 1 33 . 5 o o3 . 3 7 53 . 2 53 . 13 .M 1 . 7 5. 7 5. 7 5. 7 2. 7 2. 7. .
L ( R )3 23 23 23 23 23 3
144 ;8 . 7 5 0. 7 5 0. 7 5 0. 7 5 0. 7 5 0. 7 5. 7.
2 5 . 2 5 05 . 1 8 85 . 1 2 55 . 0 6 34 . 9 3 84 . 8 14 . 64 .M 1 . 7 2. 7 2. 7 2. 7 2. 7 2. 7. .
TOLERANCES
WALLTHICKNESS (APPROXIMATION) *
MINIMUM OTHER TYPES
.EQ’D.THICKNESSHEMISPHERICAL
UP TO 150” I.D. incl. OVER 150” I.D.
To 1“ excl. 0.1875 0.0625 0.12501“ To 2“ “ 0.3750 0.1250 0.12502“ To 3“ “ 0.6250 0.2500 0.2500
3“ To 3.5” “ 0.7500 0.3750 0.37503.5” To 4“ “ 1.1250 0.500 0.50004“ To 4.5” “ 1.5000 0.6250 0.6250
4.5” To 5“ “ 1 . 7 5 0 0. 7 5 0 0. 75>>T. 5 5>> >> 2 . 0 0 0 0. 8 7 5 0. 85 . 5 ”2.0000 1 . 0 0 0 0. 0
* S p e c i f yi n i m u mh i c k n e s si fe q u i r e d )h e nr d e r i n g .
I N S I D EE P T H FI S Hh )
4 8 ”, D .n dn d e rl u s. 5 ”i n u s “
O v e r8 ”. D . o6 ”. D .n c l .l u s. 7 5 ” ,i n u s “v e6. Dl
O U T FO U N D N E S S
W i t h i nh ei m i t se r m i t t e d yh eo d e .
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34
FLANGESFLANGE FACING FINISH
In pressure vessel construction only gasket seats of flanges, studded openings, etcrequire special finish beyond that afforded by turning, grinding or milling.
The surface finish for flange facing shall have certain roughness regulated byStandardANSI B16.5. The roughness is repetitivedeviationfrom the nominasurfacehavirigspecifieddepth and width.
Raised faced flange shall have serrated finish having 24to40groovesper inch.Thcutting tool shall have an approximate0.06 in. or larger radius resulting 50microinchapproximateroughness/ANSIB16.5, 6.3.4.1./
The side wall surface of gasket grooveof ring joint flange shall not exceed6microinchroughness. /ANSIB16.5-6.3.4.3./
Other finishes may be furnished by agreement between user and manufacturer.
The finish of contact faces shall be judged by visual comparison with Standard ANSB46-1.
The center part of blind flanges need not tobe finishedwithin a diameterwhich equal
or less than the bore minus one inch of the joining flange. /ANSI B16.5-6.3.3/
Surface symbol used to designate roughness ~ is placed either on the line indicatinthe surface or on a leader pointing to the surface as shown below.The numbers: 50and 63 indicate the height of roughness; letter “c” the direction of surface pattern“concentric-serrated”.
&“’cED1 J
CONCENTRIC SERRATED FINISH
SYMBOL USED IN PAST PRACTICE
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342
r1 l F
dT A N D A R DN S I1 6 . 5
A l li m e n s i o n sr e nn c h e s .
M a t e r i a lo s to m m o n l ys e d ,o r g e ds t e e l A8 1 .v a i l a b l el s o nt a i n l e s ss t e e l ,l l o yt e e ln do n - f e r r o u se t a l .T h e/ 1i n .a i s e da c e sn c l u d e d nd i m e n s i o n s ,a n d .T h ee n g t h s ft u do l t s oo tn c l u d et h ee i g h t fr o w n .B o l to l e sr e/ 8n .a r g e rh a no l td i a m e t e r s .F l a n g e so r e d oi m e n s i o n sh o w nn -l e s st h e r w i s ep e c i f i e d .
F l a n g e so ri p ei z e s2 ,6 , 8n d 0
1 .
2.
3.
4.
5.
6.
7.
WELDING
1
SLIP- ON
a r eo to v e r e d yN S I 1. 5 .
S E EA C I N GA G EO RI M E N S I O N
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E H JG
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3/41
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810
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7.98
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5,666 . 7 2
8 . 7 21 0 . 8 8
1 2 . 8 81 4 . 1 41 6 . 1 61 8 . 1 8
2 0 . 2 02 2 . 2 22 4 . 2 5
2 6 . 2 52 8 . 2 53 0 . 2 5
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I--’l3 l F
S T A N D A R DN S I1 6 . 5
A l li m e n s i o n sr e nn c h e s .M a t e r i a lo s to m m o n l ys e d ,o r g e d
s t e e l A8 1 .v a i l a b l el s o nt a i n l e s ss t e e l ,l l o yt e e ln do n - f e r r o u se t a l .T h e/ 1i n .a i s e da c e sn c l u d e d nd i m e n s i o n s ,a n d .T h ee n g t h s ft u do l t s oo tn c l u d et h ee i g h t fr o w n .B o l to i e sr e/ 8n .a r g e rh a no l td i a m e t e r s .F l a n g e so r e d oi m e n s i o n sh o w nn -l e s st h e r w i s ep e c i f i e d .
F l a n g e so ri p ei z e s2 ,6 , 8n d 0
1 .2 ,
3 ,
4 ,
5 ,
6 ,
7 ,
WELDING
I--’lI
-
a r eo to v e r e d yN S I 1. 5 .
S E EA C I N GA G EO RI M E N S I O N
A N DA T A NO L T I N G .
t
BLIND
L e n g t hT h r o u g h
H u b
‘
B
1.09
c D E
1.90
2 . 3
2 . 83 . 54 . 0
4 . 55 . 56 . 6
8 . 61 0 . 7 51 2 . 7 5
1 4 . 0 01 6 . 0 01 8 . 0 0
2 0 . 0 02 2 . 0 02 4 . 0 0
2 6 %2 8 %3 0 A
G H J
1
2
2Y2
33112
4
5
6
8
10
12
14
16
18
20
2224
2628
3 0
1 /2
1~8
2~8
2Y22%
3%6
315A64Y851A
5%
7
8V8
10M
12%
14%
163L19
21
23?48
25%27%
28~8
30M
32Y6
9
15
17~2
20Y2
2325%
28
30~z
33
36
38%40%
43
J
1
1%1%
1
1%
1
2
To be
2
21
2%
2%
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3%
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345
L W N
I I
2 .
3 .
4 .
5 .
6 .
A l l
J
Ma r ea s e d na tm a ja nt u r e r s .o n ge l d i ne c i e
l o n g e rh a ni s t e drv a i l as p
o r d e r .
S E EA C I N GA GOI M E N
Bore
O u t s i d eDiameter ,ength
Bolt
5
1
K M N
444
448
888
88
1
1
ly2
3
5
7
9
93A
101A
11
11Y2
12M
1
1y
2
Z
33 I
456
8
1111
222
223
9
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4 l F
‘ Td i m e n s i o n sr e nn c h e s .M a t e r i a lo s to m m o n l ys e d ,o r g e d.
3.
4.
5.
6.
7.
s t e e l A0 5 .v a i l a b l el s o nt a i n l e s ss t e e l .l l o yt e e ln do n - f e r r o u se t a l .
ELDING
i n .a i s e da c e so tn c l u d e di ni m e n s i o n s ,a n d .T h ee n g t h s ft u do l t s oo tn c l u d et h ee i g h t fr o w n .B o l to l e sr e/ 8n .a r g e rh a no l td i a m e t e r s .F l a n g e so r e d oi m e n s i o n sh o w nn -l e s st h e r w i s ep e c i f i e d .
F l a n g e so ri p ei z e s2 ,6 , 8n d 0,r eo to v e r e d yN S I 1. 5 .
S E EA C I N GA G EO RI M E N S I O N
A N DA T A NO L T I N G .JD i a m e t e ro fua to i n
oW e l d i n g
BLIND
L e n g t hT h r o u g h
H u b
) i a m e to
H ua
OutsideDiameter
ofFlange
JB c D E G H
9
15
1T~z
20 /2
2325~2
28
30%
33
36
38%40%
43
1
1 A
2
33 Y z
456
8
1 . 3 6
1 . 7 01 . 9 52 . 4 4
2 . 9 43 . 5 74 . 0 7
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%1
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22 %2 %
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7%8?/88%
1 . 3
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2 . 83 . 54 . 0
4 . 55 . 56 . 6
8 . 61 0 . 7 51 2 . 7 5
1 4 . 0 01 6 . 0 01 8 . 0 0
2 0 . 0 02 2 . 0 02 4 . 0 0
2 6 3 A
28%6
30~6
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6 l F l - El+ A
S T A N D A R DN S I1 6 . 5 J
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L *
+ . —
s t e e l A0 5 .v a i l a b l el s o nt a i n l e s ss t e e l ,l l o yt e e ln do n - f e r r o u se t a l .
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, _ : _
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p k ; + ~
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9S E EA C I N GA G EO RI M E N S I O N
y E y : 3 y
A N DA T A NO L T I N G . B L I
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r’11 l F
S T A N D A R DN S I1 6 . 5
A l li m e n s i o n sr e nn c h e s .M a t e r i a lo s to m m o n l ys e d ,o r g e d
s t e e l A0 5 .v a i l a b l el s o nt a i n l e s ss t e e l ,l l o yt e e ln do n - f e r r o u se t a l .T h e/ 4n .a i s e da c e so tn c l u d e di ni m e n s i o n s ,a n d .T h ee n g t h s ft u do l t s oo tn c l u d et h ee i g h t fr o w n .B o l to l e sr e/ 8n .a r g e rh a no l td i a m e t e r s .F l a n g e so r e d oi m e n s i o n sh o w nn-
1 .
~ HWELDING
I
l e s st h e r w i s ep e c i f i e d .
S E EA C I N GA G EO RI M E N S I O N
A N DA T A NO L T I N G . BLIND
l i a m e t e ro fua to i n
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H JB c D E G
1A
1
IM
1 42
2
3
4
5
6
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2%
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9
11 /2
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3
7
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7
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5 . 6 6
6 . 7 2
8 . 7 2
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. -
. .
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4
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-.
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—
K
1?4
1 1 4 b
2
5
1
No.
4
4
4
4
4
8
8
8
8
8
12
12
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16
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16
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16
16
BoltC i r c l e
2 .
3 .
4 .
5 .
6 .
1L W N
d i m e n s i o n sri n c hM a t e r i a lo s to m m o ns o
s t e e l A0 5 .v a i l a bls t as t e e l ,l l o yt e eno n - f e rT h e/ 4n .a i s ea cn on c
J b un c l u dl eT h ee n g t ho l tn on ch e i g h t fr o w nB o l to l e sr / na r hd i a m e t e r s .
D i m e n s i o n s ,( l e n g tw e l ea r ea s e da tm a ja nt u r e r s .o n ge l d i ne c il o n g e rh a ni s t erv a i l as p
o r d e r .
S E EA C I N GA GOI M E N
%
L
9
1
%
M
9
12
Bore
N
1
1 4
2
21/
3
4
5
6
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R J F
4A P P R O X I M A T EI S T A N C EE T W E EL A N
N o m i n a lP r e s s u r ea t i n gb
P i p e5 0I 3 0 0I 4 0 0I 6 0 0I 9 0I 1 5I 2
S i z e D i s t a n c e ,n c h e s
% % % % % “ ; J
x ? $ , 2
1J<z
1%5/ X2 5/
/
IZ :{2 5//:2
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2% 5/ X2 %6 3/~, x % x32 /16
3 x %
4 ;{2 RI 7/ YE32 :{6 %2 5//1
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/32 42 /32 X10 ?/ 7[~42 ?42 X631 g? %2 %12 5/ 7//32 %2 ?’(632 3<2 $’614 %
7/ %2 X6 %2 %21216 1/ %2 X2 ?{6 X2a X6 z
18 % J(2 %2 X6 X6 X6 –20 x X2 %2 :’(6 %6 Y822 – % X X2 — —
24 % % x X2 %2 z –
RINGNUMBERS
NominalPipeSize&
‘/2 3A 1 2 2 4
150 . . . R R R R22R25R29I RU ~R3 0 0 , 4 0 0 ,0 0 1R R R R R ]R ~R IR
2 9 0 0 R . . . ]
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N o m i n a li p ei z e 1 1 1— —
1 5 040 R43 R48“R52i i 55_i 9 R64R68 R7~md ” 3 0 0 ,0 0 ,0 0t i s R 4 14 54 95R 5 6 ‘R~ ;
9 0 0 4 14 54 95R 5 6 R. 3 :E z5 0 0 4 44 65 05 45 6 R
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I
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A
S’1’UDDING OUTLETS
All
1
SIZE ~lCK OD ‘F STUD STUDS TAP HOLE(BORE) OD CIRCLE NO. SIZE TPI DEPTH DEPTH
B TAR CJMI E Flt2 1.50 3.50 1.38 2.38 4 1/2 13 0.75 1.253/4 1.50 3.88 1.69 2.75 4 1/2 13 0.75 1.251 1.50 4.25 2.00 3.12 4 1/2 13 0.75 1.2511/4 1.50 4.62 2.50 3.50 4 1/2 13 0.75 1.251li2 1.50 5.00 2.88 3.88 4 1/2 13 0.75 1.252 1.75 6.00 3.62 4.75 4 5/?3 11 0.94 1.502 ID 1.75 7.00 4.12 5.50 4 518 11 0.94 1.50
3 1.75 7.50 5.00 6.00 4 5J 3 11 0.94 1.5031/2 1.75 8.50 5.50 7.00 8 518 11 0.94 1.504 1,75 9.00 6.19 7.50 8 5/’8 11 0.94 1.505 2.00 10.00 7.31 8.50 8 3/4 10 1.12 1.756 2.00 11.00 8.50 9.50 8 3/4 10 1.12 1.758 2.00 13.50 10.62 11.75 8 3/4 10 1.12 1.7510 2.25 16.00 12.75 14.25 12 7/8 9 1.31 2.0012 2.25 19.00 15,00 17.00 12 718 9 1.31 2.0014 2.56 21.00 16.25 18.75 12 1 8 1.50 2.3116 2.56 23.50 18.50 21.25 16 1 8 1.50 2.3118 2.75 25.00 21.00 22.75 16 11/8 8 1.69 2.5020 2.75 27.50 23.00 25.00 20 11/8 8 1.69 2.50
3.00 32.00 27.25 29.50 20 11/4 8 1.88 2.75
3SIZE ~lCK OD ‘F STUD STUDS TAP HOLE
(BORE) OD CIRCLE NO. SIZE TPI DEPTH DEPTHB TAR CJMI E F1/-2 1.50 3.75 1.38 2.62 4 12 13 0.75 1.253/4 1.75 4.62 1.69 3.25 4 5/8 11 0.94 1.501 1.75 4.88 2.00 3.50 4 5111 11 0.94 1.5011/4 1.75 5.25 2.50 3.88 4 5j8 11 0.94 1.5011/2 2.00 6.12 2.88 4.50 4 3/4 10 1.12 1.752 1.75 6.50 3.62 5.00 8 5i8 11 0.94 1.5021/2 2.00 7.50 4.12 5.88 8 3/4 10 1.12 1.753 2.00 8.25 5.00 6.62 8 3/4 10 1.12 1.75
3 In 2.00 9.00 5.50 7.25 8 314 10 1.12 1.754 2.00 10.00 6.19 7.88 8 3/4 10 1.12 1.755 2.00 11.00 7.31 9.25 8 3/4 10 1.12 1.756 2.00 12.50 8.50 10.62 12 3/4 10 1.12 1.758 2.25 15.00 10.62 13.00 12 7/8 9 1.31 2.0010 2.56 17.50 12.75 15.25 16 1 8 1.50 2.3112 2.75 20.50 15.00 17.75 16 11/8 8 1.69 2.5014 2.75 23.00 16.25 20.25 20 1V8 8 1.69 2.5016 3.00 25.50 18.50 22.50 20 11/4 8 1.88 2.7518 3.00 28.00 21.00 24.75 24 11/4 8 1.88 2.7520 3.00 30.50 23.00 27.00 24 11/4 8 1.88 2.7524 3.44 36.00 27.25 32.00 24 1In 8 2.25 3.19
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SIZE ~lCK OD ‘F S T U DT U D S AOLE(BORE) O DIRCLE NO. SIZE T PEPTH DEPTH
B T A R CJMI E Fl r 2.69 3.75 1.38 2.62 4 1/2 13 0.75 1.253/4 1.94 4.62 1.69 3.25 4 5/8 1 0.94 1.501 1.94 4.88 2.00 3.50 4 5B 11 0.94 1.5011/4 1.94 5.25 2.50 3.88 4 5/8 11 0.94 1.501 V 2.19 6.12 2.88 4.50 4 3/4 1.12 1.752 1.94 6.50 3.62 5.00 8 5/8 0.94 1.502 l r 2.19 7.50 4.121 5.88 8 3/4 10 1.12 1.753 2.19 8.25 5.00 6.62 8 3/4 1.12 1.75
3 1 / 2.44 9.00 5.50 7.25 8 7/8 9 1.31 2.004 2.44 10.75 6.19 8.50 8 7/8 9 1.31 2.005 2.75 13.00 7.31 10.50 8 1 8 1.50 2.316 2.75 14.00 8.50 11.50 12 1 8 1.50 2.318 2.94 16.50 10.62 13.75 12 11/8 8 1.69 2.50
3.19 20.00 12.75 17.00 16 11/4 8 1.88 2.7512 3.19 22.00 15.00 19.25 20 11/4 8 1.88 2.7514 3.44 23.75 16.25 20.75 20 1318 8 2.06 3.0016 3.62 27.00 18.50 23.75 20 11 / 2.25 3.1918 3.88 29.25 21.00 25.75 20 1518 8 2.44 3.4420 3.88 32.00 23.00 28.50 24 1 5 1 82.44 3.44
4.31 37.00 27.25 33.00 24 1718 8 2.81 3.88
9SIZE ~ICK OD ‘F S T U DT U D SOLE
(BORE) O DIRCLE NO. SIZE TPI DEPTH DEPTB TAR CJMI E F1/2 2.19 4.75 1.38 3.25 4 3/4 10 1.12 1.753/4 2.19 5.12 1.69 3.50 4 3/4 10 1.12 1.751 2.44 5.88 2.00 4.00 4 7/8 9 1.31 2.0011/4 2.44 6.25 2.50 4.38 4 7f8 9 1.31 2.0011/2 2.75 7.00 2.88 4.88 4 1 8 1.50 2.312 2.44 8.50 3.62 6.50 8 7/8 9 1.31 2.0021/2 2.75 9.62 4.12 7.50 8 1 8 1.50 2.313 2.44 9.50 5.00 7.50 8 7/8 9 1.31 2.00
4 2.94 11.50 6.19 9.25 8 11/?3 8 1.69 2.505 3.19 13.75 7.31 11.00 8 11/4 8 1.88 2.756 2.94 15.00 8.50 12.50 12 11/8 8 1.69 2.508 3.44 18.50 10.62 15.50 12 13t8 8 2.06 3.0010 3.44 21.50 12.75 18.50 16 1318 8 2.06 3.0012 3.44 24.00 15.00 21.00 20 13/8 8 2.06 3.0014 3.62 25.25 16.25 22.00 20 1u2 8
24.25 20 827.00 20 8
29.50 20 2 8
35.50 20 2 m 8
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359
SIZE ~lcK OD ‘F STUD STUDS TAP HOLE(BORE) OD CIRCLENO. SIZE TPI DEPTH DEPTH
B TAR CJMI E F1/2 2.19 4.75 1.38 3.25 4 3/4 10 1.12 1.753/4 2.19 5.12 1.69 3.50 4 3 4 10 1.12 1.751 2.44 5.88 2.00 4.00 4 7E 9 1.31 2.0011/4 2.44 6.25 2.50 4.38 4 7B 9 1.31 2.0011/2 2.75 7.00 2.88 4.M 4 1 8 1.50 2.312 2.44 8.50 3.62 6.50 8 7/8 9 1.31 2.002lr2 2.75 9.62 4.12 7.50 8 1 8 1.50 2.313 2.94 10.50 5.00 8.00 8 1Us 8 1.69 2.504 3.19 12.25 6.19 9.50 8 11/4 8 1.88 2.75
5 3.62 14.75 7.31 11.50 8 1V-2 8 2.25 3.196 3.44 15.50 8.50 12.50 12 1318 8 2.06 3.008 3.88 19.00 10.62 15.50 12 1518 8 2.44 3.4410 4.31 23.00 12.75 19.00 12 1718 8 2.81 3.8812 4.56 26.50 15.00 22.50 16 2 8 3.00 4.1214 5.00 29.50 16.25 25.00 16 21/4 8 3.38 4.5616 5.50 32.50 18.50 27.75 16 21/2 8 3.75 5.0618 5.94 36.00 21.00 30.50 16 23/4 8 4.12 5.5020 6.38 38.75 23.00 32.75 16 3 8 4.50 5.94
7.31 46.00 27.25 39.00 16 31/2 8 5.25 6.88
~
SIZE ~IcK OD ‘F STUD STUDS TAP HOLE
(BORE) OD CIRCLENO. SIZE TPI DEPTH DEPTHB TAR CJMI E Fm 2 . 1 9.25 1.38 3.50 4 3 / 4.3 / 4. 1 9. 5 0. 6 9.75 4 3 / 4.1 2 . 4 4. 2 5. 0 0.25 4 7 1 81 .1 1 / 4. 7 5. 2 5. 5 0.12 4 1 8 1 .
1 l f 2. 9 4.00 2.88 5.75 4 1 1 / 81 .
2 2 . 7 53 6.75 8 1 8 1 .
2 1 L 2. 9 40 . 5 0. 1 2.75 8 1 1 F 31 .
3 3 . 1 92.oo 5.00 9.00 8 1 1 / 41 .
4 3 . 6 24 . 0 0. 1 90.75 8 1 8
5 12.75 8 8
6 1 9 . 0 0. 5 04.50 8 2 8 3 .
8 4 . 5 61 . 7 50 . 6 27.25 12 2 8 3 .1 0. 5 06 . 5 02 . 7 51.25 12 2m 8
24.38 12 2 8
T
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361
63/’ [
/ ‘ A
90°L o n za d i u slbow
(n-/— A1
90°LongRadius
Reducin2Elbow–
45°LongRadiusElbow
‘“\ ~
- A-
180°LongRadiusElbow
a,/
90°ShortRadiusElbow
m\,180°ShortRadiusRetun
iCap
WELDING FITTINGSANSI B 16.9
1. All dimensions are in inches.
2, Welding fitting material conforms to SA 234 grade WPB.
3. Sizes 22,26 and 30 in. are not covered by ANSI B 16.9.
4. F o ra l lh i c k n e s s e se ea g e2 2
5 .i m e n s i o n1applies to standard and X-STG.caps. Di-mension Fzapplies to heavier weight caps.
Nominal I DimensionsPipesize D i a m e t e rB c
0.840 1 %18 1 7 /
3/4
1 . 0 5 01 1.315 1Y2 718 23/]6
1 %. 6 6 07 / 82%
IY2 1 . 9 0 0% 1 1 / 8’ /
2 2 . 3 7 51 3 / 83 /
2 %. 8 7 5 %74 5 3 / 1
3 3.500 4% 2 6%
3% 4,000 5% 2% 7%
4 4.500 6 2% 8%
5 5.563 7% 31t8 1 0 s / 1
6 6 . 6 2 53Y4 12’5/1(
8 8.625 12 5 1 6 5 / I
1 010.750 I 15 I 6fi I 203k
1 12.750 18 7 4 243/8
14 14.000 21 8% 28
1 616.000 ] 24 I 10 \ 32
18 18.000 I 27 IIK 36
20 ~().()~ 30 12% 40
22I
z~.()()()I
33 13YZ 44
24 ~40000 36 15 @
26 26.()()() 39 16 52
30 30.000 45 18’A 60
5
,..
...1
l f
1
2
2 /2
3
3%
4
5
6
8
1
12
14
16
18
20
...,
24
...,
30
E
. .
. . . .1 5
2
z7h6
33116
3‘5/16
4%
5%
6X
7%
93/16
125/16
153/8
1 8 3
21
24
27
30
.,..
36
..,.
45
7
;
1
lfi1%
1%
1 4
1%
1%
2
2%
2%
3
3yz
4
5
6
6%
7
8
9
1
1
10 4
10K
~
,
. . .1
l
l
1
2
2%
3
3
3%
4
5
6
7
7%
8
9
1
1
12
,.,.
,.,.
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. . -
1
WELDING FITTINGS
ANSI B 16.9
1. Alldimensionsreininches
2. WeldingfittingmaterialonformstoSA234gradeWPB.
3. Sizes22,26and30in.arenotcoveredbyANSIB16.9.4, Forwallthicknesseseepage322.
Nominal Dimensions
PipeSize Outlet Outside ~
DiameterH J
I y z
1
1 4
1%
2
3
%3/8
3/4
‘/2
1? 4‘/2
2%
1 7 / 8
2%
2%2%2%2%
,840 1 1,675 1 1
1.050 1 1 1 81 1 8.840 1 1
1.315 1% 1?41,050 1% 1?4,840 1% 1%
1.660 17181.315 17181.050 17/8
2ti2 4 “ii “
Reducing Tee
2% 2?42 4 2Y2
2% 2 4
, . .
-
‘ i i
. . ,27
Tee
2% I 2Y2 I . . . . I L— , ,1 %.900 2% 2 3 / 8
J
1% 1.660 2% z ~ 8
1 1.315 2% 2 3 7% 1,050 2 4 1 %
2% 2.875 3 32 2.375 3 2?4 3 h’3%1 41 %1
32%21Y21 %
1 , 9 0 01. 6601,315
3,5002.8752.3751.9001 . 6 6 0
333
3 i / 83 3 / 83 3 / 83 3 / 83 3 / 8
23 3 1 83 %3
2 7 / 82 %
%3 %3 %
‘ 33 3 %3
3% 3% 4.000 3?4 3% . . . .3.500 3% 3 5 1 8
2 ;. 8 7 5 % %2 2 . 3 7 5 % %1 %. 9 0 0 %4
4 . . . .
4 4 4
3.500 4 3 7 / 82 ;. 8 7 51 / 8 %
2 , 3 7 51 / 8 %I i. 9 0 01 1 83 / 8
~ . –
Concentric Reducer
J
h
— .. —
Eccentric Reducer
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363
*
WELDING FITTINGS
~
GANSI B 16.9
1. Alldimensionsareninches—. .—. 2 WeldingfittingmaterialonformstoSA234gradeWPB.
3. Sizes22,26and30in.arenotcoveredbyANSIB16.9.
4. Forwallthicknessesseepage322.– (= - 1- F - I— u T u -
1 Nominal DimensionsPipe
Tee Size Outlet Outside ~Diameter
H J
5 5 5.563 4 7 /7. . .4 4.500 4 7 /5
3 %.000 4 7 /53 3,500 4 7 /3
? ~
, ~2 %. 8 7 5T 15
H 2 2 . 3 7 57 /1
– “ + 6 6 . 6 2 55 /s5 5 . 5 6 35 13
J
4 4.500 5 5 1‘ /3 %.000 5 5 /53 3.500 5 s /7
+ G2 %. 8 7 55 /5
8 8 8 . 6 2 5R e d u c i n ge e
76 6 . 6 2 56 5“6 .5 5 . 5 6 36 34 4.500 7 61/8 6
3% 4,000 7 6 6
r
‘71 0 00,750 8% 8% . . . .
8.625 8% 8 7: 6.625 8% 75/8 7
D
5.563 8Y2 7?4 7: 4.500 8 /2 7% 7
12 12 12.750 1 0 . . . .—.—.10 10.750 1 % 88 8.625 10 9 86 6,625 1 5
5 5 . 5 6 30 8Y2 8
Concentric Reducer 14 14 1 4 . 0 0 0I Q2 . 7 5 00 si1 00 . 7 5 00 1
r ‘ 18 8.625 11 9?4 136 6.625 11 9 3
c 1
1 6 66 , 0 0 01 44 . 0 0 0“ i} 22.750 12 ]1518 14
.—.— 1 00.750 12 111/s 14—.—. 8 8.625 12 10% 14
6 6.625 12 101/8 14
18 18 18.000 13% 13 4
Eccentric Reducer 16 16.000 13X 13 “ii”14 14.000 13X 13 15
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364
WELDING FITTINGS IANSI B 16.9 ~~
Alldimensionsreininches
+
G
WeldingittingmaterialconformsoSA234gradeWPB. .—.
Sizes22,26and30in.arenotcoveredbyANSIB16.9.
Forwallthicknesseseepage322.
L: :1Dimensions G,)minalPipe
Outlet OutsideTee
Size Diameter GH J
18 12 12.750 13% 125/8 15
10 10.750 13% 1’21/8 15
8 8,625 13M 11% 15
20 20 20.000 15
18 18.000 15 14%
16 16.000 15
14 14.000 1512 12,750 15
1 00 . 7 5 0 5
8 8 . 6 2 5 52 % 0Reducing Tee
22 22 22.000 16 4 16 A ... ,
20 20.000 16?4 16 20
18 18.000 16)4 15% 20
16 16.000 16% 15 20
r ‘1
J14 14.000 16% 15 20
12 12.750 16?4 145/8 .,. .
10 10.750 16% 14[/8 . . . .24 24 24.000 17 17 ,.. ,
22 22,000 17 17 20
D
-—.—.
20 20.000 1 7 7 0
1 88 , 0 0 0 76 4 0
16 16,000 17 16 20 Concentric Reducer14 14.000 17 16 2012 12.750 17 153/8 2010 10.750 17 15]/8 20
r - l30 30 30.000 22 22 . . . .
24 24.000 22 21 24
22 22.000 22 20% 24
20 20.000 22 20 24
b
.—.—
18..—,
18.000 22 19 A . . . .
16 16.000 22 19 . . . .
Eccentric Reducer
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365
FACE-TO-FACED1MENS1ONSOF FLANGEDSTEEL
GATE VALVES(WEDGEANDDOUBLEDISC)
&
+.
1-
I 300 I 400 [ 600
D i m . n s i o n ,
1 – –
- . 9 9
–
2 7 2
; 2
$ 3 8 1 1 X 4 4‘ 15 1 8~ 3 % 51 %– 4 1 1g 4 9 1 2 6 72 6
s 5 1 0 5 8 02 7x “6 1 0 %5 %9 % 22 2
8 1 1 %6 53 % 6 05
1 0 3 86 % 1 2 4
1 2—
1 49 X 0 3 40 9
1 4 D 5 02 % 5 64 4
1 6 D 6 35 % 9 80
1 8 D 7 68 % 3 052 6 5— —. .2 0 D 8 91 % 7 4 6
2 4 D 0 58 % 5
p e s1
b
p
150 9 D5 0..——.-—. .
1 1
6 – 9 9
1x i 7 8 1—
2 2
s 8 1 0 %3 X— 2, - — —0 3 8 %“ i %i %4 %1 5 -—a 4 9 %2 %6 X7 %1 8at =1 0 %- 5 %8 % -0 42 > 3 v
m 6 1 16 %9 %2 %2 4 3c — . .— — —- .
a 8 1 27 % –3 %6 k2 9. —1 03 %8 %6 % 033 - .-—1 x. . - -5
1 24 4i % 250 X— 3 3 %. 38% _ —
1 45 Z0 %2 %5 %. 1 . +05 _
1 66 X3 %5 % 69 ? 44 4
1 86 %8 %7 x —- ,– — 883 %.1— —2 0
. ..i 8 %9 7 71 %7 X“ 2 02 ?
2 40 5; Y ~ 4 8 %5 % 41
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GLOBE AND ANGLE VALVES
&
—<
A
Raised Face
300 400 6 900 15w— 2500
Inshes Dimension2 x A, 2 x
% – – – – x
% — % 9 9
1 — — 1
– – 9 9
– –
2 8 1 2
3 3
1 – – 4
4 5 3 ?
5 1 45 % 8 02 7
6 1 67 %9 % 22 2
8 1 9 % 23 % 6 05 —
1 2
1 40
R i n gy p e
-
NP
N — —3A- 400 ... .
2 x 2 x
Y2 6%6 6%6 Y2 I— 10%
3A — 9 9
87 8% — ‘-—.
8% —_—
1 1 1 2%: + 9 9 l x1. .
l x
. .
9 % %%- — %1 1— —1l i
3
—2 8 X1 %1 %1 44% -..-.—2 % 92 %3 % —3 %2 X6 6
3 — 1 3 44 44 %— .5—4 1 24 %6 %7 ~ A 2 ? i8 —...–
5 l i f i8 %6 %2 2 ~ 4 -2 2
6 1 6 %8 ; ~9 %2 %2 4 3
8 2 02 G3 %6 %2 9 )
1 0 s5 %6 % —1 % 03
1 2 88 %0 ) 43 % 28 ?
1 41 x– – 1 40
’ 1 66 <– –
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367
mACE.TO-FACEIMENSIONSFFLANGEDSTEEL ‘.’,1-&.
SWING CHECK VALVES :;;:
R a i s e da c eP r e s s u r eb e rn
Io m i n a l
s u e 5 000 I 400 I 600 S i z e ,0 5
2 8 —
9 9
3 1
13% - – lx 11 11 13%
4 11% 14
5 13 15% – - 2 14X 14% 17%
6 14 17% 19% 22 2% 16%165
8 – 2 61 8
1 04 t i6 % 11 1
1 2 8 0 32 6
6 2 7 .8 2 2
1 05
1 2 4
1 40 9
R i n g
per
I n
% 4 y f ’ — % % — 1. - —3 A - 9 9
1 9 1
6 9 9 1
1 X1 0 % % %1. — —2 . - ~“ “1 1 X1 %1 %1 4
1 2 i5, - 9. . -3 k3 % X6
3 1 03 %4 %4 f i1 5
4 1 24 %6 t i -7 %1 8 1
5 1 3 %i k8 %0 %2 2 —
6 1 4 %i i2 %9 Z 2 34_
‘ 81 % ,. 2 6 %0- ”3 %2 9— — . —1 0 5s ’ %6 % –1 % 03
1 2“ 2 8i Y k0 %3”% - 1 28— . . —— —1 41 %– – 1 40
R e f e r e n c e :a c e - t o - F a c en dn d - t o - E n di m e n s i o n s fe r r o u sa l v eA m e r i c a na t i o n a lt a n d a r dN S I1 6 . 1 0 - 1 9 7 3
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‘ l ( w. . -
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?69
S F I F
A S A Z
F l a n g e dc r e w e de l lnS p i g oe l do
B u s h i n g + “ w+
C a p + “ )
C r o s s
R e d u c i n g
$ s +, + /‘
S t r a i g h ti z e+ + + $+
C r o s s o v e r
T - D . * . . c [ ( [
E l b o w
9 0 -e g r e er r P r c
T u r n e do w n& ~ M ~
T u r n e d pH w w ~
B a s eL L L
D o u b l er a n c hT T
L o n g R a d i u s ~
R e d u c i n gP P e <
S i d eu t l e t
( O u t l e to w n )T r
( O u t l e t U p ) r r
S i d eu t l e t
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- , =
S Y M B O L SO RI P EI T T I N G S
F l a n g e dc r e w e de ln
S p i g oe l o
S t r e e t
J o i n t L
C o n n e c t i n g+ + + + +P i p e
E x p a n s i o n
L a t e r a l
~ ~ ~ ~ ~
O r i f i c el a t e- i : l -
R e d u c i n gl a n g ei D -
P l u g s
B t i l ll u gw o
P i p el u g- - t a
R e d u c e r
C o n c e n t r i c- K = = t -* m -
E c c e n t r i c+ &+ -
S l e e v e-t -t-l- +---+ -++---* +--e
~
S t r a i g h ti z eL L L L
( O u t l e tp )* * * - e
( O u t l e to w n )
‘ o u b ’ e s w e e p L “ “ -
R e d u c i n g
L L L A L
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S Y M B O L SO RI P EI T T I N G S
S i n g l ew e e p
S i d eu t l e t
( O u t l e to w n )
S i d eu t l e t
( O u t l e tp )
U n i o n
V a l v e sA n g l ea l v e
C h e c k ,l s o
A n g l eh e c k
G a t e ,l s o
A n g l ea t e
( E l e v a t i o n )
B a l la l v e
G a t e ,l s o
A n g l ea t e
( P l a n )G l o b e ,l s o
A n g l el o b e
( E l e v a t i o n )
G l o b e
( P l a n )
A u t o m a t i ca l v e
B y - P a s s
G o v e r n o r -O p e r a t e d
R e d u c i n g
C h e c ka l v e
( S t r a i g h ta y )
C o c k
Flanged
T&
u
S c r e w e d
r i p
B e lnS p i g o
+
W e l o
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372
S Y M B O L SO RI P EI T T I N G S
G l o b e
L o c k s h i e l da l v e
P l u ga I v e
Q u i c kp e n i n go ru t t e r f l ya l v e
S a f e t ya l v e
Flanged
S c r e w e d
--mQ-
B e lnS p i g oe l
-
-- 3-
S o
~ ~-
&
-
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374
WEIGHTS
1.
2.
3.
4
5
7.
The tables on the following pages show the weights of
different vessel components made of steel.
All weights are calculated with the theoretical weight of
steel: 1 cubic inch= 0.28333 pounds.
To obtain the actual weight of a vessel, add 6’ZOo the total
weight. This wilI cover the overweights of material which
corn-es from the manufacturing tolerances and the weight ofthe weldings.
The weights of shells shown in the tables refer to one lineal
foot of shell-length. The weights tabulated in columns
headed by “1.S.” “0. S.” are the weights of shell when
the given diameter signifies inside or outside diameter.
The weights of the heads include:
A. For ellipsodial heads: 2 inch straight flange or the wall
thickness, whichever is greater.B. For ASME flanged and dished heads: 1?4 inch straight
flange.
c. For hemispherical heads: Oinch straight flange.
T w o p f m b d ms i m c c d w rm aw o p f
s i t t r t t p o LC
A
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375
D I A M .
‘ E S S E L
1‘2 ~
1 4
1 6
1 8
2 0
2 2
2 4
2 62 8
3 0
3 2
3 4
3 6
3 8
4 0
4 2
4 8
5 4
6 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 2
1 0 8
1 1 41~ o
1 2 6
1 3 2
1 3 8
1 4 4
WEIGHT OF SHELLS & HEADS
W A L LH I C K N E S S
S H E L L
1 . s .
3 3
3 8
4 4
4 9
5 4
6 0
6 5
7 07 6
8 1
8 6
9 2
9 7
1 0 2
1 0 8
1 1 3
1 2 9
1 4 5
1 6 1
1 7 7
1 9 3
2 0 9
2 2 5
2 4 1
2 5 7
2 7 3
2 8 9
3 0 5
3 2 1
3 3 7
3 5 3
3 6 9
3 8 5
3 . s .
3 1
3 6
4 2
4 9
5 2
5 8
6 3
6 87 4
7 9
8 4
9 0
9 5
1 0 0
1 0 6
1 1 1
1 2 7
1 4 3
1 5 9
1 7 5
1 9 1
2 0 7
2 2 3
2 3 9
2 5 5
2 7 1
2 8 7
3 0 3
3 1 9
3 3 5
3 5 1
3 6 7
3 8 3
1/ 4 ”
L L I P
2 2
2 8
3 3
4 1
4 7
5 5
6 2
7 07 8
8 9
1 0 0
1 1 3
1 2 8
1 3 9
1 5 6
1 6 5
2 1 5
2 7 0
3 3 0
3 9 8
4 5 3
5 4 3
6 2 4
7 2 3
8 2 0
9 2 2
1 0 3 1
1 1 5 0
1 2 5 5
1 4 4 5
1 5 9 0
I7 3 0
I8 8 0
H E A D
‘ . & D .
1 4
1 9
2 3
2 8
3 5
4 1
4 7 -
5 56 2
7 0
8 0
8 9
9 8
1 1 0
1 2 0
1 3 1
1 6 8
2 1 0
2 5 7
3 0 9
3 6 5
4 2 1
4 9 2
5 5 6
6 3 7
7 1 0
8 0 1
8 8 3
9 8 4
1 0 7 5
I 1 8 6
1 2 8 6
1 4 0 6
[ E M I S
2 0
2 8
3 6
4 6
5 6
6 8
8 1
9 51 1 0
1 2 6
1 4 3
1 6 1
1 8 0
2 0 1
2 2 2
2 4 5
3 2 0
4 0 4
4 9 8
6 0 2
7 1 7
8 4 0
9 7 4
1 1 1 8
1 2 7 2
1 4 3 5
1 6 0 8
1 7 9 2
1 9 8 5
2 1 8 8
2 4 0 1
2 6 2 4
2 8 5 6
5 /
S H E L L
1 . s .
4 1
4 8
5 4
6 1
6 8
7 4
8 1
8 89 4
1 0 1
1 0 8
1 1 4
1 2 1
1 2 8
1 3 4
1 4 1
1 6 1
1 8 2
2 0 2
2 2 2
2 4 3
2 6 3
2 8 3
3 0 33 2 4
3 4 4
3 6 4
3 8 5
4 0 54 2 5
4 4 6
4 6 6
4 8 6
D . s
3
4
5
5
6
7
7
89
9
1 0
1 1
1 1
1 2
1 3
1 3
1 5
1 7
1 9
2 1
2 3
2 5
2 7
2 9
3 1
3 3
3 5
3 7
3 9
4 1
4 3
4 5
4 8
; L L
2
3
4
5
5
6
7
81 0
1 1
1 2
1 4
1 6
1 7
1 9
2 1
2 8
3 5
4 3
5 2
5 9
6 9
8 0
9 2
1 0
1 1
1 3
1 4
1 6
1 8
1 9
2 1
2 3
H E
‘ .
1
2
2
3
4
5
5
67
8
1
1
1
1
1
1
2
2
3
3
4
5
6
7
7
8 9
1 0
1 1
1 2
1 3
1 4
1 6
1 7
[
2
3
4
5
7
8
1
11
1
1
2
2
2
2
3
45
6
7
8
1
1
1
1
1
22
22
3
3
3
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376
W O S & H
W A L LH I C K N E S S
D I A M ./ 8 ” 7 /
/ E S S E LS H E L LE A DH E L LE
1 . s .. s .L L I P. & D .E M I S. s .. sL L.
1 2 0 7 3 2 2 82 31 4 8 5 2 8 3 73 5
1 6 6 3 0 5 5 74 6
1 8 4 1 ] 2 0 65 82 0 2 9 0 2 5 56 1
’ 2 29 0 7 2 10 30 507 I1 4 8 5 4 02 21 41 01
2 61 0 60 30 5 24 32 31~ 9 1
2 81 41 12 1 46 63 32 43 02 21 93 70 59 04 23 6
3 23 02 75 42 11 65 14 83 43 83 57 33 44 36 15 9
3 64 64 39 24 77 27 06 23 85 45 11 36 50 37 97 4
4 06 25 93 48 03 68 98 7
4 27 06 75 79 67 09 89 04 89 49 13 15 2
8 22 62
85 41 81 51 51 60 95 45 8
6 04 23 90 88 65 18 275 96 66 66 31 06 30 71 00 1
7 29 08 71 84 70 7 93 83 4
7 81 41 13 63 82 6 56 66 8
8 43 83 56 53 74 6 69 491
9 06 25 91 1 04 21 6 8 22 212
9 68 68 32 6 05 59 1 25 044 1
1 0 21 00 74 1 90 7 51 5 87 876 21 0 83 43 15 8 22 0 24 1 80 608 4
1 1 45 85 57 6 03 3 56 9 43 430 5
1 2 08 27 99 5 04 7 69 8 46 252 7
1 2 60 60 31 7 06 2 42 8 89 185 8
1 3 23 02 74 9 07 7 96 0 81 917 0
1 3 85 47 6: ; ;; ; ;; ; ;; :;; :5 1
1 4 47 9
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377
D I A M .
V E S S E L
1 2
1 4
1 6
1 8
2 0
2 2
2 4
2 62 8
3 0
3 2
3 4
3 6
3 8
4 0
4 2
4 8
5 4
6 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 2
1 0 8
1 1 4
1 2 0
1 2 6
1 3 2
1 3 8
1 4 4
WEIGHT OF SHELLS 8CHEADS
W A L LH I C K N E S S
S H E L L
1
6 7
7 8
8 8
9 9
1 1 0
1 2 0
1 3 1
1 4 21 5 2
1 6 3
1 7 4
1 8 4
1 9 5
2 0 6
2 1 7
2 2 7
2 5 9
2 9 1
3 2 3
3 5 5
3 8 7
4 1 9
4 5 1
4 8 3
5 1 5
5 4 7
5 7 9
6 1 1
6 4 7
6 7 6
7 0 8
7 4 0
7 7 7
0
6 1
7 2
8 2
9 3
1 0 4
1 1 4
1 2 5
1 3 61 4 6
1 5 7
1 6 8
1 7 8
1 8 9
2 0 0
2 1 1
2 2 1
2 5 3
2 8 5
3 1 7
3 4 9
3 8 1
4 1 3
4 4 5
4 7 ’ 7
5 0 9
5 4 1
5 7 3
6 0 5
6 3 8
6 7 0
7 0 2
7 3 4
7 6 6
1 / 2 ”
E L L H
4 7
5 6
7 0
8 1
9 7
1 1 0
1 2 5
1 4 01 6 1
1 8 2
2 0 6
2 3 0
2 5 6
2 8 3
3 1 3
3 4 3
4 4 2
5 5 3
6 7 7
8 1 3
9 6 2
1 1 2 4
1 2 9 8
1 4 8 4
1 6 8 3
1 8 9 4
2 1 1 9
2 3 5 5
2 5 7 1
2 8 9 0
3 3 4 0
3 4 6 0
3 7 6 0
HEAD
F . & D
3 0
3 8
4 7
5 9
7 0
8 1
9 4
1 1 01 2 5
1 4 0
1 6 1
1 7 8
1 9 6
2 2 0
2 4 0
2 6 1
3 3 7
4 2 1
5 1 4
6 1 7
7 3 0
8 5 2
9 8 3
1 1 2 4
1 2 7 4
1 4 3 3
1 6 0 2
1 7 8 0
1 9 6 8
2 1 6 5
2 3 7 2
2 5 8 8
2 8 1 3
H E M I S
4 3
5 8
7 5
9 4
1 1 5
1 3 9
1 6 5
1 9 32 2 3
2 5 5
2 9 0
3 2 7
3 6 6
4 0 7
4 5 0
4 9 6
6 4 6
8 1 5
1 0 0 5
1 2 1 4
1 4 4 3
1 6 9 2
1 9 6 0
2 2 4 8
2 5 5 7
2 8 8 4
3 2 3 2
3 5 9 9
3 9 8 6
4 3 9 3
4 8 2 0
5 2 6 6
5 7 3 2
S H E L L
1
7 6
8 8
1 0 0
1 1 2
1 2 4
1 3 6
1 4 8
1 6 01 7 2
1 8 4
1 9 6
2 0 8
2 2 0
2 3 2
2 4 4
2 5 6
2 9 2
3 2 8
3 6 4
4 0 0
4 3 6
4 7 2
5 0 8
5 4 4
5 8 0
6 1 7
6 5 3
6 8 9
7 2 5
7 6 1
7 9 7
8 3 3
8 6 9
0
6
8
9
1 0
1 1
1 2
1 4
1 51 6
1 7
1 8
2 0
2 1
2 2
2 3
2 4
2 8
3 2
3 5
3 9
4 2
4 6
5 0
5 3
5 7
6 1
6 4
6 8
7 1
7 5
7 9
8 2
8 6
9 /
E L L
5
6
7
9
1 0
1 2
1 4
1 61 8
2 0
2 3
2 5
2 8
3 1
3 5
3 8
4 9
6 2
7 6
9 1
1 0 8
1 2 6
1 4 6
1 6 6
1 8 9
2 1 3
2 3 8
2 6 5
2 8 9
3 2 3
3 6 6
3 8 9
4 2 4
F.&D
3
4
5
6
7
9
1
11
1
1
2
2
2
2
2
3
4
5
6
8
9
, 1
. 2
. 4
. 6
. 8 0
4
6
9
~1
4
6
8
1
1
1
1
22
2
3
3
4
4
5
5
7
9
1
1
1
1
2
2
2
3
3
4
4
4
5
5
3
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378
W O S & H
D I A M .
Y E S S E L
1 2
1 4
1 6
1 8
2 0
2 2
1 4
2 6
2 8
3 0
3 2
3 4
3 6
3 8
4 0
4 2
4 8
5 4
6 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 21 0 8
1 1 4
1 2 0
1 2 6
1 3 2
1 3 8
I4 4
W A L LH I C K N E S S
S H E L L
1
8 4
9 7
1 1 1
1 2 4
1 3 7
1 5 1
1 6 4
1 7 7
1 9 1Q ( 3 4
2 1 8
2 3 1
2 4 4
2 5 82 7 1
2 8 4
3 2 4
3 6 4
4 0 4
4 4 4
4 8 4
5 2 4
5 6 4
6 0 4
6 4 4
6 8 57 2 5
7 6 5
8 0 5
8 4 8
8 8 59 - ) 5
9 6 5
0
7 68 9
1 0 3
1 1 6
1 2 9
1 4 3
1 5 6
1 6 9
1 8 3
1 9 6
2 1 0
2 2 3
2 3 6
2 5 0
2 6 3
2 7 6
3 1 6
3 5 6
3 9 6
4 3 6
4 7 6
5 1 6
5 5 6
5 9 6
6 3 6
6 7 77 1 7
7 5 7
7 9 7
8 3 7
8 7 7
9 1 7
9 5 7
5 / 8 ”
I L L I P
5 8
7 0
8 7
1 0 11y
1 3 8
1 6 1
1 8 0
2 0 1
2 2 8
2 5 7
2 8 8
3 2 6
3 5 5
3 9 1
4 2 85 5 2
6 9 1
8 4 6
1 0 1 7
1 2 0 3
1 4 0 51 6 ~ ~
1 8 5 5
2 1 0 4
2 3 6 82 6 4 8
2 9 4 4
3 2 1 3
3 5 7 8
3 9 8 04 3 2 5
4 7 ~ o
H E A D
? . & D .
4 0
5 0
6 1
7 4
8 6
1 0 1
1 2 1
1 3 8
1 5 6
1 7 5
2 0 1
2 2 3
2 4 5
2 7 5
3 0 0
3 2 7
4 2 1
5 2 6
6 4 3
7 7 2
9 1 2
1 0 6 5
1 2 2 9
1 4 0 5
1 5 9 2
1 7 9 12 0 0 3
2 2 2 5
2 4 6 0
2 7 0 6
2 9 6 5
3 2 3 4
3 5 1 6
3 E M 1 S
5 5
7 3
9 5
1 1 9
1 4 6
1 7 6’ 2 0 8
2 4 3
2 8 13 2 2
3 6 5
4 1 1
4 6 0
5 1 2
5 6 6
6 2 3
8 1 1
1 0 2 4
1 2 6 1
1 5 2 3
1 8 1 0
2 1 2 1
2 4 5 8
2 8 1 8
3 2 0 4
3 6 1 44 0 4 9
4 5 0 9
4 9 9 3
5 5 0 2
6 0 3 6
6 5 9 5
7 1 7 8
1
S H E L L
1
9 3
1 0 81~ ~
1 3 7
1 5 2
1 6 6
1 8 1
1 9 6
2 1 12 2 5
2 4 0
2 5 5
2 6 9
2 8 42 9 9
3 1 3
3 5 7
4 0 1
4 4 5
4 8 9
5 3 3
5 7 7
6 2 1
6 6 5
7 1 0
7 5 47 9 8
8 4 2
8 8 6
9 3 0
9 7 4
1 0 1 8
1 0 6 2
0
83 1
9
1 1
1 21 4
1 5
1 7
1 8
~
2 1
2 3
2 4
2 5
2 7
2 8
3 0
3 4
3 9
4 3
4 7
5 2
5 6
6 1
6 5
7 0
7 47 8
8 3
8 7
9 2
9 6
1 0 0
1 0 5
~ L L
6
7
9
1 1
1 3
1 5
1 7
1 9
~ 11 5
2 8
3 1
3 5
3 9
4 3
4 7
6 0
7 6
9 3
1 1
1 3
1 5
1 7
2 0
2 3
2 6 .2 9
3 2
3 5
3 9
4 3
4 7
5 1
H E
‘ .
5
6
8
9
1
1
1
1
1
2
2
2
3
3
3
4
5
7
8
1 0
1 1
1 3
1 5
1 7
1 9
2 2
2 4
2 7
2 9
3 2
3 5
3 8
-46
8
1
1
1
1
2
2
3
3
4
4
5
5
6
6
8
1
1
1
1
2
2
3
3
34
4
5
6
6
7
7
I
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379
W O S & H
D I A M .
~ E S S E L
1 2
1 4
1 6
1 8
2 0
~ ~
2 4
2 62 8
3 0
3 2
3 4
3 6
3 8
4 0
4 2
4 85 4
6 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 2
1 0 8
1 1 41- ) 0
1 2 6
1 3 2
1 3 8
1 4 4
W A L LH I C K N E S S
S H E L L
1I (JZ
1 1 8
1 3 4
1 5 0
1 6 6
1 8 2
1 9 8
2 1 42 3 02 4 6
2 6 2
2 7 8
2 9 4
3 1 0
3 2 6
3 4 2
3 9 04 3 8
4 8 6
5 3 4
5 8 2
6 3 0
6 7 8
7 2 6
7 7 5
8 2 3
8 7 1
9 1 9
9 6 7
1 0 1 5
1 0 6 3
1 1 1 1
1 1 5 9
0
9 0
1 0 6
1 2 2
1 3 8
1 5 4
1 7 0
1 8 6
2 0 22 1 8
2 3 4
2 5 0
2 6 6
2 8 2
2 9 8
3 1 4
3 3 0
3 7 84 2 6
4 7 4
5 2 2
5 7 0
6 1 8
6 6 6
7 1 4
7 6 3
8 1 1
8 5 9
9 0 7
9 5 5
1 0 0 3
1 0 5 1
1 0 9 9
1 1 4 7
3 / 4 ”
; L L I P
7 0
8 8
1 0 41 2 6
1 4 5
1 7 1
1 9 3
2 1 62 4 1
2 7 4
3 0 9
3 4 5
3 9 3
4 2 5
4 6 9
5 1 4
6 6 28 2 9
1 0 1 5
1 2 2 0
1 4 4 3
1 6 8 5
1 9 4 7
2 2 2 6~ 5 ~ 5
2 8 4 2
3 1 7 8
3 5 3 3
3 8 5 64 2 4 3
4 6 5 5
5 0 8 2
5 6 5 0
H E A D
? . & D .
1 0 8
1 2 6
1 4 5
1 6 51 8 7
2 1 6
2 4 1
2 6 7
2 9 4
3 3 0
3 6 1
3 9 3
5 0 56 3 1
7 7 2
9 2 6
1 0 9 5
1 2 7 7
1 4 7 5
1 6 8 5
1 9 1 1
2 1 5 0
2 4 0 32 6 7 1
2 9 5 2
3 2 4 8
3 5 5 8
3 8 8 1
4 2 1 9
i E M I S
6 7
9 0
1 1 6
1 4 5
1 7 7
2 1 3
2 5 2
2 9 53 4 0
3 8 9
4 4 2
4 9 7
5 5 6
6 1 8
6 8 4
7 5 3
9 7 91 2 3 4
1 5 2 0
1 8 3 5
2 1 7 9
2 5 5 4
2 9 5 8
3 3 9 1
3 8 5 5
4 3 4 8
4 8 7 0
5 4 2 2
6 0 0 4
6 6 1 6
7 2 5 7
7 9 2 8
8 6 2 8
1 3 /
S H E L L
1
1 1 1
1 2 8
1 4 6
1 6 3
1 8 0
1 9 8
2 1 5
2 3 32 5 0
2 6 7
2 8 5
3 0 2
3 1 9
3 3 7
3 5 4
3 7 1
4 2 34 7 5
5 2 7
5 7 9
6 3 1
6 8 3
7 3 5
7 8 8
8 4 0
8 9 2
9 4 4
9 9 6
1 0 4 8
1 1 0 0
1 1 5 2
1 2 0 4
1 2 5 6
0
9
1 1
1 3
1 4
1 6
1 8
2 0
2 12 3
2 5
2 7
2 8
3 0
3 2
3 4
3 5
4 04 6
5 1
5 6
6 1
669
721
774
826
878930
9821034
1086
1 1 3
1 1 9
1 2 4
3 L L
7
9
1 1
1 3
1 5
1 8
2 0
2 32 6
3 0
3 3
3 7
4 2
4 7
5 0
5 6
7 29 1
1 1
1 3
1 5
1 8
2 1
2 4
2 7
3 1
3 4
3 8
4 2
4 6
5 0
5 5
6 0
H E
F .
5
6
8
1
1
1
1
14
2
2
2
3
3
3
4
56
8
1 0
1 1
1 3
1 5
1 8
2 0
2 3~ 6
2 8
3 1
3 5
3 8
4 2
4 5
3
7
9
1?
1
I9
2
2
33
4
4
5
6
6
7
8
11
1
1
2
2
3
3
4
45
5
6
7
7
8
9
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381
WEIGHT OF SHELLS k HEADS
WALL THICKNESS
1*8 1-1/16“DIAM.
/ESSEL SHELL HEAD SHELL HEAD
1.s. 0.s. ELLIP F.&D. HEMIS 1.s. 0.s. ELLIP F.&D. HEMIS
12 139 117 98 76 93 148 124 104 83 10014 160 138 118 93 124 171 147 125 102 132
16 182 160 144 113 159 193 169 153 122 17018 203 181 168 139 198 216 192 178 150 212
~o 224 202 200 162 242 239 215 212 175 259
-)? 246 223 228 187 290 262 238 242 202 31024 267 245 257 214 343 284 260 277 231 366
26289
266 288 242 400 307 283 311 261 42728 310 287 330 273 462 330 306 350 294 49330 331 308 374 313 528 352 328 397 338 563
32 353 330 421 347 598 375 351 448 373 63834 374 351 471 383 673 398 374 500 412 7 7
36 396 372 523 421 752 420 396 562 452 80138 417 393 579 , 460 835 443 419 614 495 890
40 438 415 637 502 923 466 442 677 539 984
42 459 436 698 556 1015 489 465 741 597 1082
48 523 500 897 698 1318 557 533 953 749 140454 587 564 1121 869 1661 625 601 1191 931 1769
60 651 628 1371 1059 2043 693 669 1457 1134 2175
66 715 692 1646 1“268 2465 761 737 1749 1357 2624
72 779 756 1945 1496 2926 829 805 2067 1590 3114
78 844 821 2270 i 743 3427 897 874 2412 1851 3647
84 908 885 2620 2008 3967 965 942 2783 2134 4221
90 972 949 2994 2292 4547 1033 1010 3181 2435 4838
96 1036 1013 3394 2596 5166 1101 1078 3606 2758 5496
102 1100 1077 3819 2917 5825 1169 1146 4057 3099 6197
108 1164 1141 4268 3258 6523 1237 1214 4535 ‘3462 6939
114 1228 1205 4743 3617 7261 1306 1282 5038 3843 7724
120 1292 1269 5175 3996 8039 1374 1350 5498 4246 8550
126 1356 1333 5697 4393 8856 1442 1418 6053 4667 9419
132 1420 1397 6243 4809 9712 1510 1486 6633 5108 10329
138 1484 1461 6815 5243 10609 1578 1554 7241 5571 11282
144 1549 1526 7411 5697 1I544 1646 1623 7874 6053 12276
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382
W O S & H
W A L LH I C K N E S S
D I A M .- 18 ” 1 - 3
/ E S S E LS H E L LE A DH E L LE
1 . S .. s .L L I P. & D .E M I S. s .. sL L.
1 21 5 83 11 0 00 66 73 11
1 48 25 53 31 04 19 26 4~ 1
1 60 67 96 33 28 11 88 7
1 83 00 38 96 22 64 31 0
Z ( )5 42 72 58 97 66 83 3
~ ~7 85 15 61 73 09 46 7
2 40 ~2 7 59 84 89 01 98 1
2 62 69 93 38 15 44 51 5
2 83 5 02 37 11 52 47 04 9
3 07 44 72 16 29 89 56 4
3 29 87 17 40 07 82 19 07
3 42 29 53 04 26 26 61 6
3 64 61 90 18 45 17 14 3
3 87 04 35 13 04 69 76 8
4 09 46 71 77 60 4 52 29 5
4 21 89 18 53 91 4 94 81 2
4 89 16 30 0 90 04 9 12 4905 46 33 52 6 19 48 7 70 07 3 0
6 03 50 75 4 32 0 93 0 87 646 2
6 60 77 98 5 24 4 67 8 35 229 5
7 27 95 21 8 96 8 43 0 32 993 7
7 85 12 45 5 49 6 08 6 70 0 576 0
% 40 2 39 69 4 7260 4476 1081 1051 3108 2398 4732
9 00 9 50 6 83 6 85 7 91 2 91 5 71 25 57
9 61 6 71 4 08 1 89 2 08 2 72 3 32 00 30
1 0 22 3 92 1 22 9 62 8 25 6 93 0 92 75 341 0 83 1 22 8 48 0 26 6 63 5 63 8 53 50 7
1 1 43 8 43 5 63 3 60 7 01 8 74 6 14 36 3
1 2 04 5 64 2 88 2 24 9 60 6 25 3 75 01 7
1 2 65 2 85 0 04 0 99 4 29 8 26 1 35 87 2
1 3 26 0 05 7 30 2 44 1 00 9 4 76 9 06 64 7
1 3 86 7 26 4 56 6 78 9 91 9 5 67 6 67 30 2
1 4 47 4 47 1 73 3 84 0 83 0 1 08 4 28 18 7
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383
D I A M .
J E S S E L
1 2
1 4
1 6
1 8
2 0
2 2
2 4
2 6
2 8
3 0
~ 2
3 4
3 6
3 8
4 0
4 2
4 85 4
6 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 21 0 8
1 1 4
1 2 0
1 2 6
1 3 2
1 3 8
1 4 4
WEIGHT OF SHELLS & HEADS
W A L LH I C K N E S S
S H E L L
11 7 72 0 4
Q 3 0
2 5 7
2 8 4
3 1 1
3 3 7
3 6 4
3 9 1
4 1 7
4 4 4
4 7 1
4 9 7
5 2 4
5 5 1
5 7 8
6 5 87 3 8
8 1 8
8 9 8
9 7 9
1 0 5 9
1 1 3 9
1 2 1 $
1 2 9 9
1 3 7 s1 4 5 5
1 5 3 5
1 6 1
1 7 0 C
1 7 8 (
18 6 (
19 4 (
0
1 4 4
~
5 1 8
5 4 5
6 2 57 0 5
7 8 5
8 6 5
9 4 5
1 0 2 5
1 1 0 5
1 1 8 5
1 2 6 5
1 3 4 61 4 2 6
1 5 0 6
1 5 8 6
1 6 6 6
1 7 4 6
1 8 2 6
1 9 0 6
1 - 1 / 4 ”
] z?
3 7 1
4 1 2
4 6 7
5 2 6
5 8 9
6 6 7
7 2 4
7 9 6
8 7 2
1 1 2 11 4 0 1
1 7 1 4
2 0 5 7
2 4 3 2
2 8 3 7
3 2 7 5
3 7 4 2
4 2 4 2
4 7 7 45 3 3 6
5 9 2 5
6 4 6 5
7 1 2 1
7 8 0 ~
8 5 1
9 2 6 ~
H E A D
: . & D ,
1 0 5
1 2 9
1 5 4
1 8 1J l o
2 4 2
2 8 4
3 2 2
3 6 0
4 0 2
4 4 6
4 9 0
5 5 1
6 0 1
6 5 4
7 1 0
9 0 41 1 0 4
1 3 4 3
1 6 0 6
1 8 9 3
2 2 0 4
2 5 3 7
2 8 9 4
3 2 7 4
3 6 7 84 1 0 6
4 5 5 8
5 0 3 2
5 5 3 0
6 0 5 1
6 5 9 6
7 1 6 5
[ E M I S
1 2 0
1 6 0
2 0 4
2 5 4
3 1 0
3 7 1
4 3 8
5 1 0
5 8 7
6 7 0
7 5 9
8 5 3
9 5 2
1 0 5 7
1 1 6 8
1 2 8 4
1 6 6 52 0 9 5
2 5 7 5
3 i 0 4
3 6 8 3
4 3 1 1
4 9 8 8
5 7 1 5
6 4 9 1
7 3 1 78 1 9 2
9 1 1 (
1 0 0 9 (
1 1 1 :
1 28 (
I 3 3 0 /
1 4 4 8 (
1- 5 / 1
S H E L L
1
1 8 7
11971281
1 3 6 5
1 4 4 91 5 3 3
1 6 1 7
1 7 0 1
1 7 8 6
1 8 7 0
1 9 5 4
2 0 3 8
0
1 5
1 7
2 0
2 3
2 6
~ 9
3 1
3 4
3 7
4 0
4 3
4 5
4 8
5 1
5 4
5 7
6 57 3
8 2
9 0
9 9
1 0 7
1159
1 2 4
1 3 2
1 4 11 4 9
1 5 8
1 6 6
1 7 4
1 8 3
1 9 1
2 0 0
] L L
1 2
1 11 4
1 8
2 1
2 5
2 9
3 4
3 9
4 4
5 05 6
6 2
6 8
7 5
8 2
8 9
9 7
H E
‘ .
1
1
1
1
2
2
3
3
3
4
4
5
5
6
6
7
91 11 4
3 3
1 9
2 3
2 6
3 0
3 4
3 84 3
4 7
5 2
5 8
6 3
6 9
7 5
;
1
1
1
1
1
12
2
3
3
4
5
6
6
78
9
1
1
1
1
1
7/22/2019 Pressure Vessel Handbook by Megyesy
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384
WEIGHT OF SHELLS & HEADS
D I A M .
J E S S E L
1 2
1 4
1 6
1 8Z ( )
? ?. -
2 4
2 6
2 83 0
3 2
3 4
3 6
3 8
4 0
4 2
4 8
5 46 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 2
1 0 8
1 1 41~ o
1 2 6
1 3 2
1 3 8
1 4 4
W A L LH I C K N E S S
S H E L L
1 . s .
1 9 6~ ~ 5
2 5 5
2 8 4
3 1 3
3 4 33 7 2
4 0 2
4 3 14 6 0
4 9 0
5 1 9
5 4 8
5 7 8
6 0 7
6 3 77 2 5
8 1 39 0 1
9 8 9
1 0 7 8
1 1 6 6
1 2 5 4
1 3 4 2
1 4 3 0
1 5 1 8
1 6 0 6
1 6 9 4
1 7 8 3
1 8 7 1
1 9 5 9
2 0 4 7
2 1 3 5
0 . s .
1 5 6
1 8 5
2 1 5
2 4 4
2 7 3
3 0 3
3 3 23 6 2
3 9 14 2 1
4 5 0
4 7 9
5 0 8
5 3 8
5 6 7
5 9 7
6 8 5
7 7 38 6 1
9 4 9
1 0 3 8
] ]2 6
1 2 1 4
1 3 0 2
1 3 9 0
1 4 7 8
1 5 6 6
1 6 5 4
1 7 4 3
1 8 3 1
1 9 1 9~ 0 0 7
2 0 9 5
1- 3 / 8 ”
: L L I P
1 4 2
1 6 9
2 0 62 3 9
2 8 5
3 2 2
3 6 4
4 0 8
4 6 65 2 7
5 9 3
6 6 2
7 3 4
8 1 2
8 9 2
9 7 7
1 2 5 3
1 5 6 31 9 1 0
2 2 8 9
2 7 0 3
3 1 5 2
3 6 3 5
4 1 5 2
4 7 0 4
5 2 9 1
5 9 1 1
6 5 6 7
7 1 6 2
7 8 8 2
8 6 3 69 4 : 4
1 0 2 4 f
H E A D
‘ . & D .
1 1 9
1 4 8
1 7 6~ 0 6
2 3 9
2 7 5
3 2 3
3 6 4
4 0 84 5 4
5 0 2
5 5 3
6 2 0
6 7 6
7 3 4
7 9 6
1 0 1 2
1 2 3 41 5 0 0
1 7 6 8
2 0 8 3
2 4 2 4
2 7 9 1
3 1 8 4
3 6 0 2
4 0 4 6
4 57
5 0 1 4
5 5 3 5
6 0 8 4
6 6 5 6
7 2 5 6
7 8 8 2
[ E M I S
1 3 5
1 7 82 2 8
2 8 3
3 4 5
4 1 2
4 8 6
5 6 6
6 5 17 4 3
8 4 1
9 4 5
1 0 5 4
1 1 7 0
1 2 9 3
1 4 2 0
1 8 4 1
2 3 1 52 8 4 4
3 4 2 7
4 0 6 5
4 7 5 7
5 5 0 3
6 3 0 3
7 1 5 9
8 0 6 8
9 0 3 2
. 0 0 5 0 1 1 2 2
~2 2 4 9
I3 4 3 0
1 4 6 6 6
I5 9 5 5
1- 7 / 1
S H E L L
1 . s .
2 0 6
2 3 7
2 6 7
2 9 8
3 2 9
3 6 0
3 9 0
4 2 1
4 5 24 8 2
5 1 3
5 4 4
5 7 5
6 0 5
6 3 6
6 6 7
7 5 9
8 5 19 4 3
1 0 3 5
1 1 2 8
1 2 2 0
1 3 1 2
1 4 0 4
1 4 9 6
1 5 8 8
1 6 8 0
1 7 7 2
1 8 6 5
1 9 5 7
~ 0 4 9
2 1 4 1~ ~ 3 3
0 . s
1 6
1 9
2 2
2 5
2 8
3 1
3 4
3 7
4 04 3
4 6
S o
5 3
5 6
5 9
6 2
7 1
8 08 9
9 9
1 0 8
1 1 7
1 2 6
1 3 6
1 4 5
1 5 4
1 6 3j 7 ~
1 8 2
1 9 1
2 0 0
2 0 9
2 1 8
1 5
1 8z ~
2 5
3 0
3 4
3 8
4 3
4 95 5
6 2
699
775
857
941
1 0
1 3
1 62 0
2 4
2 8
3 3
3 8
4 3
4 9
5 5
6 ~
6 8
7 58 ~
9 1
9 8
1 0 7
H E
1
5
5
6
7
7
8
1 0
1 31 5
1 8
2 1
2 5
2 9
3 3
3 7
4 ~
4 7
5 2
5 7
6 3
6 9
7 5
8 2
I
1
11
22
3
4
4
5
6
7
8
91
11
1
1
1
1
7/22/2019 Pressure Vessel Handbook by Megyesy
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385
WEIGHT OF SHELLS tk HEADS
W A L LH I C K N E S S
1 - 12 ”D I A M .
‘ E S S E LS H E L L H EE A DH E L L
0 . sE M I S. s .. S .. s .L I P. & D . L L.
1 2
1 4
1 6
1 8
2 0
2 2
2 4
2 6
2 83 0
3 2
3 4
3 6
3 8
4 0
4 2
4 8
5 4
6 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 2
1 0 8
1 1 4
1 2 0
1 2 6
1 3 2
1 3 8
1 4 4
2 1 6
2 4 8
2 8 0
3 1 2
3 4 4
3 7 6
4 0 8
4 4 0
4 7 25 0 4
5 3 6
5 6 8
6 0 0
6 3 3
6 6 5
6 9 7
7 9 3
8 8 9
9 8 5
1 0 8 2
1 1 7 8
1 2 7 4
1 3 7 C
1 4 6 6
1 5 6 ;
1 6 5 ?
1 7 5 4
1 8 5 1
19 4 ;
2 0 4 ;
2 1 3 {
2 2 3
2 3 3 1
1 6 8
2 0 0
2 3 2
2 6 4
2 9 6
3 2 8
3 6 0
3 9 2
4 2 44 5 6
4 8 8
5 2 0
5 5 2
5 8 5
6 1 7
6 4 9
7 4 5
8 4 1
9 3 ’ 7
1 0 3 4
11 3 C
1 2 2 6
1 3 2 2
1 4 1 8
1 5 1 4
1 6 1 C
17 0 {
1 8 0 2
1 8 9 <
1 9 9 :
2 0 9
2 1 8 ’
2 2 8 :
1 6 2
1 9 2
2 3 4
2 7 1
3 2 1
3 6 3
4 0 9
4 5 7
5 2 15 8 9
6 6 1
7 3 8
8 1 7
9 0 3
9 9 1
1 0 8 4
1 3 8 8
1 7 2 9
2 1 1 1
2 5 2 6
2 9 8 0
3 4 7 2
4 0 0 3
4 5 6 9
5 1 7 3
5 8 1 5
6 4 9 6
7 2 1
7 8 6 4
8 6 5 2
9 5 9 (
1 0 3 3 5
1 13 {
1 3 4
1 6 2
1 9 2
2 3 4
2 7 1
3 1 0
3 5 2
3 9 7
4 4 45 0 8
5 6 2
6 1 8
6 7 6
7 3 8
8 0 2
8 8 5
1 1 0 3
1 3 6 8
1 6 3 6
1 9 5 4
2 2 7 2
2 6 4 4
3 0 4 4
3 4 7 2
3 9 3 C
4 4 1 4
4 9 2 8
5 4 6 8
6 0 3 E
6 6 3 6
7 2 6 ;
7 9 1
8 5 9 S
1 5 0
1 9 8
2 5 2
3 1 3
3 8 1
4 5 5
5 3 6
6 2 3
7 1 78 1 7
9 2 4
1 0 3 8
1 1 5 8
1 2 8 5
1 4 1 8
1 5 5 8
2 0 1 8
2 5 3 7
3 1 1 5
3 7 5 3
4 4 4 9
5 2 0 5
6 0 2 1
6 8 9 5
7 8 2 9
8 8 2 3
9 8 7 5
1 0 9 8 7
1 2 1 5 8
1 3 3 8 9
1 4 6 7 8
1 6 0 2 ;
17 4 3 (
2 2 7
2 6 0
2 9 4
3 2 7
3 6 1
3 9 4
4 2 7
4 6 1
4 9 45 2 7
5 6 1
5 9 4
6 2 8
6 6 1
6 9 4
7 2 8
8 2 8
9 2 8
1 0 2 8
1 1 2 9
1 2 2 9
1 3 2 9
1 4 2 0
1 5 2 9
1 6 2 9
1 7 2 S
1 8 2 5
19 3 (
2 0 3 (
2 1 3 (
2 z 3 (
2 3 3 (
2 4 3 (
1 7
2 0
2 4
2 7
3 0
3 4
3 7
4 0
4 44 7
5 0
5 4
5 7
6 0
6 4
6 7
7 7
8 7
9 7
1 0 7
1 1 7
1 2 7
i 3 7
1 4 7
1 5 7
1 6 7
1 7 7
1 8 7
1 9 72 0 7
~1 7
2 2 7
2 3 7
1 7
3635
4 1
4 7
5 4
6 0
6 7
7 5
8 2
9 0
10 0
1 0 7
1 1 7
1
1 7
2 0
2 3
2 7
3 1
3 6
4 0
4 5
5 1
5 6
6 2
6 9
7 5
8 2
8 9
1
2
2
3
3
4
5
6
78
9
1
1
1
1
1
2
2
3
3
4
5
6
7
8
9
1
1
1
1
1
1
1
7/22/2019 Pressure Vessel Handbook by Megyesy
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386
WEIGHT OF SHELLS tic HEADS IW A L LH I C K N E S S
1 - 5 / 8 ” 1 - 11 6D I A M .
‘ E S S E LH E A DH E L LEH E L L
[ E M I S. s .I L L.0 L L I P
2 3 6
2 7 1
3 0 5
3 4 0
3 7 5
4 1 0
4 4 4
4 7 9
5 1 4
5 4 8
5 8 3
6 1 8
6 5 3
6 8 7
7 2 2
7 5 7
8 6 19 6 5
1 0 6 9
1 1 7 4
1 2 7 8
1 3 8 2
1 4 8 6
1 5 9 0
1 6 9 4
1 7 9 81 9 0 3
2 0 0 7
2 1 1 1
2 2 1 5
2 3 1 9
2 4 2 3
2 5 2 7
1 8 0
2 1 5
2 4 9
2 8 4
3 1 9
3 5 4
3 8 8
4 2 3
4 5 8
4 9 2
5 2 7
5 6 2
5 9 7
6 3 1
6 6 6
7 0 1
8 0 59 0 9
1 0 1 3
1 1 1 7
1 2 2 1
1 3 2 5
1 4 3 0
1 5 3 4
1 6 3 8
1 7 4 21 8 4 6
1 9 5 0
2 0 5 4
2 1 5 9
2 2 6 3
2 3 6 7
2 4 7 1
1 5 3
1 8 6
2 2 0
2 6 5
3 0 4
3 4 8
3 9 3
4 4 3
4 9 5
5 6 4
6 2 3
6 8 5
7 4 8
8 1 7
8 8 6
9 7 8
1 2 1 6
1 5 0 5
1 7 9 7
2 1 4 4
2 4 9 2
2 8 9 7
3 2 9 8
3 7 6 2
4 2 5 7
4 7 8 25 3 3 8
5 9 2 4
6 5 4 1
7 1 9 0
7 8 6 7
8 5 7 6
9 3 1 6
1 6 6
2 1 8
2 7 7
3 4 4
4 1 7
4 9 8
5 8 6
6 8 1
7 8 3
8 9 2
1 0 0 9
1 1 3 2
1 2 6 3
1 4 0 1
1 5 4 6
1 6 9 8
2 1 9 72 7 6 1
3 3 8 8
4 0 8 0
4 8 3 6
5 6 5 7
6 5 4 2
7 4 9 0
8 5 0 4
9 5 8 11 0 7 2 3
1 1 9 2 8
1 3 1 9 8
1 4 5 3 3
1 5 9 3 1
1 7 3 9 4
1 8 9 2 1
2 4 7
2 8 3
3 1 9
3 5 5
3 9 1
4 2 7
4 6 3
4 9 9
5 3 s
5 7 1
6 0 8
6 4 4
6 8 0
7 1 6
7 5 2
7 8 8
8 9 61 0 0 4
1 1 1 2
1 2 2 1
1 3 2 9
1 4 3 7
1 5 4 5
1 6 5 3
1 7 6 1
1 8 6 91 9 7 8
2 0 8 6
2 1 9 4
2 3 0 2
2 4 1 0
2 5 1 8
2 6 2 6
1 8
2 2
2 5
2 9
3 3
3 6
4 0
4 3
4 7
5 7
5 4
5 8
6 1
6 5
6 9
7 2
8 39 4
1 0 5
1 1 5
1 2 6
1 3 7
1 4 8
1 5 9
1 7 0
1 8 01 9 1
2 0 2
2 1 3
2 2 4
2 3 4
2 4 5
2 5 6
1 9
2 3
2 7
3 2
3 7
4 2
4 8
5 3
6 0
6 8
7 7
8 5
9 4
1 0
1 1
1 2
1 51 9
2 4
2 8
39654565
5207
5892
6618‘7388
8198
8 9
9 8
1 0 8
1 1 6
2 7
1
1
2
2
3
3
4
4
5
5
6
7
7
8
9
1 0
1 21 5
1 8
2 2
2 6
30083 4
3 9
4 4
4 95 5
6 1
6 8
7 4
8 1
8 9
9 7
58846
7
8
91
1
1
1
1
1
1
1 2
1 4
1 6
1 8
2 0
2 2
2 4
2 6
2 8
3 0
3 2
3 4
3 6
3 8
4 0
1 0 8
1 1 4
1 2 0
1 2 6
1 3 2
1 8 4
2 1 7
2 6 3
3 0 4
3 5 9
4 0 5
4 5 5
5 0 9
5 7 8
6 5 3
7 3 2
8 1 5
9 0 3
9 9 7
1 0 9 4
1 1 9 5
1 5 2 71 9 0 0
2 3 1 4
2 7 6 8
3 2 6 4
3799
4 3 7 5
4 9 9 4
5 6 5 0
6 3 4 87 0 8 8
7 8 6 7
8 5 7 5
9 4 3 1
I0 4 5 C
1 1 3 8
7/22/2019 Pressure Vessel Handbook by Megyesy
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387
WEIGHT OF SHELLS & HEADS
W A L LH I C K N E S S
1 - 3 / 4 ” 1 - /D I A M .
J E S S E LH E A D ‘ H EHELL S H E L L
1 0 L L I P. & D .E M I S0 ‘ .
2 5 7
2 9 4
3 3 2
3 6 9
4 0 7
4 4 4
4 8 1
5 1 9
5 5 6
5 9 3
6 3 1
6 6 8
7 0 6
7 4 3
7 8 0
8 1 8
9 3 01 0 4 2
1 1 5 4
1 2 6 7
1 3 7 9
1 4 9 1
1 6 0 2
1 7 1 5
1 8 2 7
1 9 4 C2 0 5 :
2 1 6 4
2 2 7 (
2 3 8 8
2 5 0 C
2 6 1 2
2 7 J 5
1 9 2
2 2 9
2 6 7
3 0 4
3 4 2
3 7 9
4 1 6
4 5 4
4 9 1
5 2 8
5 6 6
6 0 3
6 4 1
6 7 8
7 1 5
7 5 3
8 6 59 7 7
1 0 8 9
1 2 0 1
1 3 1 3
1 4 2 6
1 5 3 8
1 6 5 0
1 7 6 2
1 8 7 41 9 8 6
2 0 9 9
2 2 1 1
2 3 2 3
2 4 3 5
2 5 4 7
2 6 5 9
2 0 6
2 4 3
2 9 4
3 3 8
3 9 9
4 5 0
5 0 4
5 6 2
6 3 9
7 1 9
8 0 7
8 9 8
9 9 3
1 0 9 4
1 2 0 0
1 3 1 1
1 6 7 02 0 7 4
2 5 2 3
3 0 1 5
3 5 5 2
4 1 3 1
4 7 5 6
5 4 2 1
6 1 3 4
6 8 8 E7 6 8 8
8 5 2 5
9 2 9
0 2 2 C
1 2 5 ;
2 2 0 13 2 5 (
1 7 2
2 1 1
2 4 9
2 9 6
3 2 7
3 7 4
4 3 7
4 9 0
5 4 7
6 0 7
6 7 1
7 3 7
8 2 3
8 9 7
9 7 3
1 0 5 3
1 3 3 21 6 2 0
1 9 6 3
2 3 0 8
2 7 1 5
3 1 1 9
3 5 8 8
4 0 9 1
4 6 2 6
51 5 C5 7 9 6
6 4 3 C
7 0 9 $
7 7 9 7
8 5 3 C
9 2 9 6
1 0 0 9 4
1 8 2
2 3 8
3 0 3
3 7 5
4 5 5
5 4 2
6 3 7
7 4 0
8 5 0
9 6 9
1 0 9 4
1 2 2 8
1 3 6 9
1 5 1 8
1 6 7 5
1 8 3 9
2 3 7 82 9 8 6
3 6 6 4
4 4 1 0
5 2 2 6
6 1 1 1
7 0 6 5
8 0 8 9
9 1 8 1
1 0 3 4 31 1 5 7 4
1 2 8 7 4
1 4 2 4 3
1 5 6 8 1
1 7 1 8 9
1 8 7 6 6
2 0 4 1 1
1 2
1 4
1 6
1 8
20
22
24
26
28
30
32
34
36
38
40
42
4854
60
66
72
78
84
90
96
1 0 2
1 0 8
1 1 4
1 2 0
1 2 6
1 3 2
1 3 8
1 4 4
2 6 7
3 0 6
3 4 4
3 8 3
4 2 2
4 6 1
4 9 9
5 3 8
5 7 7
6 1 5
6 5 4
6 9 3
7 3 2
7 7 0
8 0 9
8 4 8
9 6 41 0 8 0
1 1 9 6
1 3 1 3
1 4 2 9
1 5 4 5
1 6 6 1
1 7 7 7
1 8 9 3
2 0 12 1 2 6
2 2 4 2
2 3 5 t i
2 4 7 4
2 5 9 (
2 7 0 1
2 8 2 2
1 9
2 3
2 7
3 1
3 5
3 9
4 2
4 6
5 0
5 4
5 8
6 2
6 6
7 0
7 3
7 7
8 91 0 1
1 1 2
1 2 4
1 3 5
1 4 7
1 5 9
1 7 0
1 8 2
1 9 42 0 5
2 1 7
2 2 8
2 4 0
2 5 2
2 6
2 7
2 1
2 5
3 1
3 5
4 2
4 7
5 3
5 9
6 7
7 5
8 4
9 4
1 0
1 1
1 2
1 3
1 72 1
2 6
3 1
3 7
4 3
4 9
5 6
6 3
71 67 9
8 8
9 6
[ 0[
I 16 5
1 2 6
1 3 7
1
2
2
3
3
3
4
5
5
6
7
7
8
9
1 0
1 1
1 31 6
2 0
2 4
2 8
3 2
3 7
4 2
4 7
5 36 0
6 6
7 3
8 0
8 59 6
1 0
1
2
3
3
4
5
6
7
8
1
1
1
1
1
1
1
23
3
4
5
6
7
8
9
11
1
1
1
1
1
2
,
7/22/2019 Pressure Vessel Handbook by Megyesy
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388
W O S & H
D I A M .
4 E S S E L
12
?1. .
2 4
~ ~
2 8
3 0
3 2
3 4
3 6
3 8
4 0
4 2
4 85 4
6 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 21 0 8
I 1 4
1 2 0
\ 2 6
1 3 2
1 3 8
I4 4
W A L LH I C K N E S S
S H E L L
1 . s .
] 7qo
1840
1
1
0 . s .
2 0 3
2 4 3
2 8 3
3 2 3
3 6 3
4 0 3
4 4 3
4 8 35 2 3
5 6 3
6 0 4
6 4 4
6 8 47 2 4
7 6 4
8 0 4
9 2 41 0 4 4
1 1 6 41 2 8 4
1 4 0 5
1 5 2 5
1 6 4 5
1 7 6 5
1 8 8 5
~ ( ) ( 3 5~1 2 6
2 2 4 6
~ 3 f j ( j
~ 4 g ( j
2 6 0 62 7 2 6
~ 8 4 ( j
i L L I P
2 3 1
2 7 1
3 2 6
3 7 5
4 4 1
4 9 7
5 5 6
6 1 9
7 0 1
7 8 9
8 8 3
9 8 1
1 0 8 6
1 1 9 4
1 3 0 9
1 4 2 9
1 8 1 72 2 5 3
2 7 3 73 2 6 8
3 8 4 6
4 4 7 0
5 1 4 1
5 8 5 8
6 6 ’ . ? 4
7 4 3 68 2 9 59 ~ o
0 0 2 4
1 0 1 7
2 0 5 8
3 1 4 64 ~ . J ( )
H E A D
? . & D .
1 9 1
2 3
2 7 83 2 7
3 6 3
4 1 44 8 2
5 4 0
6 0 2
6 6 8
7 3 6
8 0 8
9 0 2
9 8 1
1 0 6 3
1 1 5 0
1 4 5 21 7 6 2
2 1 3 2
2 5 0 6
2 9 4 4
3 3 8 0
3 8 8 6
4 3 8 3
4 9 5 8
5 5 1 86 2 1 )
6 8 9 0
7 6 0 4
8 3 5 5
9 1 4 0
9 9 6 0
0 8 1 6
i E M I S
I ~)g
2 5 93 : 9
4 0 7
4 9 3
5 8 7
6 8 9
8 0 09 2 9
1 0 4 6
1 1 8 1
1 3 2 5
1 4 7 7
1 6 3 7
1 8 0 5
1 9 8 12 5 6 1
3 2 1 4
3 9 4 1
4 7 4 3
5 6 1 8
6 5 6 8
7 5 9 2
8 6 9 0
9 8 6 2
1 1 1 0 81 2 4 2 9
1 3 8 2 3
1 5 2 9 2
1 6 8 3 4
1 8 4 5 1
2 04 2
2 1 9 0 7
1 -
S H E L L
1 . s .
2 8 8
3 2 9
3 7 14 1 :
4 5 4
4 9 5
5 3 6
5 7 8
6 1 9
6 6 1
7 ( 3 Z
7 4 3
7 8 5
8 2 6
8 6 7
9 0 9
1 0 3 31 1 5 7
1 2 8 2
1 4 0 6
1 5 3 0
1 6 5 4
1 7 7 8
1 9 0 2~ 0 2 7
2 1 5 12 2 7 5
2 3 9 9
2 5 2 32 6 4 7
2 7 7 2
1 8 9 6
3 0 2 0
Z 0
1
1698
11947
20712I95
2319
24432567
269228I6
~940
2 42 8
3 4
3 94 6
5 2
5 8
6 4
7 3
8 2
9 2
1 0 2
1 1 3
1 2 4
1 3 6
1 4 8
1 8 91 3 4
2 8 4
3 3 9
3 9 9
4 6 4
5 3 5
6 0 8
6 8 7
7 7 18 6
9 5 4
0 31 4
~ 4
3 6
4 7
H E
‘ .
2
4015
4552
5123
5 76 47 ~
7 8
8 6
9 4
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i
3
2
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389
D I A M .
‘ E S S E L
1 2
1 4
1 6
1 8J O
2 2
2 4
2 62 8
3 0
3 2
3 4
3 6
3 8
4 0
4 2
4 8
5 4
6 0
6 6
7 2
7 8
8 4
9 0
9 6
1 0 2
1 0 8
1 1 4
1 2 0
1 2 6
1 3 2
1 3 8
1 4 4
WEIGHT OF SHELLS & HEADS
W A L LH I C K N E S S
S H E L L
2 9 9
3 4 2
3 8 4
4 2 ’ 7
4 7 0
5 1 3
5 5 5
5 9 86 4 1
6 8 3
7 2 6
7 6 9
8 1 2
8 5 4
8 9 7
9 4 0
1 0 6 8
1 1 9 6
1 3 2 5
1 4 5 3
1 5 8 1
1 7 0 9
1 8 3 7
1 9 6 5
2 0 9 4
2 2 2 2
2 3 5 0
2 4 7 8
2 6 0 6
2 7 3 4
2 8 6 3
2 9 9 1
3 1 1 $
2 1 4
2 5 7
2 9 9
3 4 2
3 8 5
4 2 8
4 7 0
5 1 35 5 6
5 9 8
6 4 1
6 8 4
7 2 7
7 6 9
8 1 2
8 5 5
9 8 3
1 1 1 1
1 2 3 9
1 3 6 7
1 4 9 6
1624175218802008
21372265239325212645
277729063034
2 “
H E A D
L L I P
2 5 6
3 0 0
3 6 1
4 1 4
4 8 4
5 4 6
6 1 0
6 7 87 6 7
8 6 2
9 6 3
1 0 6 8
1 1 8 1
1 2 9 8
1 4 2 1
1 5 5 0
1 9 6 8
2 4 3 6
2 9 5 6
3 5 2 6
4 1 4 5
4 8 1 4
5 5 7 3
6 3 0 2
7 1 2 2
7 9 9 2
8 9 1 1
9 8 8 C
1 0 6 9 2
1 1 8 2 4
1 2 8 6 ;
1 4 1 O C
1 5 2 3 1
2 1 0
2 5 9
3 0 7
3 5 8
4 0 0
4 5 6
5 1 4
5 7 66 4 2
7 3 0
8 0 4
8 8 2
9 6 2
10 4 ;
1 1 3 4
1 2 5 (
15 5 (
1 9 0 5
2 2 7 ~
2 7 0 /
3 1 4 (
3 6 4 :
4 1 4
4 7 2 ;
5 2 8 [
5 9 3 ’
6 6 2 ’
7 3 4
8 1 1
8 9 1
9 7 4 :
1 0 6 2 :
1 13 (
[ E M I S
2 1 5
2 8 1
3 5 6
4 3 9
5 3 1
6 3 3
7 4 2
8 6 19 8 8
1 1 2 4
1 2 6 9
1 4 2 3
1 5 . 8 6
1 7 5 7
1 9 3 7
2 1 2 6
2 7 4 5
3 4 4 4
4 2 2 1
5 0 7 6
6 0 1 3
7 0 2 :
8 1 2 7
9 2 9 Z
1 0 5 4 6
1 17 ?
1 3 2 8 ?
1 4 7 7 (
1 6 3 4 5
1 7 9 9 2
1 9 7 1
2 1 5 2 1
2 3 4 0 $
2 1 4
S H E L L
3 4 2
3 9 1
4 3 9
4 8 7
5 3 5
5 8 3
6 3 1
6 7 97 2 7
7 7 5
8 2 3
8 7 1
9 1 9
9 6 7
[ 0 1
1 0 6 3
1 2 0 8
1 3 5 2
1 4 9 6
1 6 4 0
1 7 8 4
1 9 2 9
2 0 7 3
2 2 1 7
2 3 6 1
2 5 0 5
2 6 5 0
2 7 9 4
2 9 3 8
3 0 8 2
3 2 2 6
3 3 7 1
3 5 1 4
2 1
2 8
3 3
3 7
4 2
4 7
5 2
5 76 1
6 6
7 1
7 6
8 1
8 5
9 0
9 5
1 1 0
1 2 4
1 3 8
1 5 3
1 6 7
1 8 2
1 9 6
2 1 0
2 2 5
2 3 9
2 5 4
2 6 8
2 8 3
2 9 7
3 1 1
3 2 6
3 4 0
; L L
3 0
3 5
3 6
4 2
4 9
5 7
6 4
7 28 0
9 0
1 0
1 1
1 2
1 3
1 5
1 6
2 1
2 6
3 2
3 8
4 5
5 2
6 0
6 9
7 8
8 7
9 I
[ 0 8
1 1 8
[3 0
1 4 3
15 5
[ 6 9
H E
J .
2
2
3
4
4
5
6
67
8
9
1 0
1 1
1 2
1 3
1 4
1 8
2 1
2 6
3 0
3 6
4 1
4 7
5 3
6 0
6 7
7 5
8 3
9 1
1 0
1 1
1 2
1 3
[
2
3
4
5
6
7
8
91
1
1
1
1
2
2
2
3
3
4
5
6
8
9
1
1
1
15
1
1
2
2
2
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390
WEIGHT OF PIPES AND FITTINGS
I I E L B O WE T U
9 0 °0 °5 8 8L . R .. R .. R. R.
N O MN O M .
P I P EW I G N A ~ O NA L L
S I Z EH K .
TP I P E
1f t .
S T D
X S T G1/2 SCH. 160
XX STG
. 1 0 9
. 1 4 7
. 1 8 7
. 2 9 4
0.9
1 . 1
1 . 3
0.2
0.3 0 .
0 .
0 .
0
0
0
1 . 7
r 1
1 . 1.2 0 . .
1 . 5. 3. .
S T D
X S T G
S C H .6 0
X XT G
. 1 1 3
. 1 5 4
. 2 1 8
. 3 0 8
1 . 9 0
2 . 4
I 1
I0 . 4. 3
0 . 5
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0 . 8. 5
0 .
0 .
0 .
0 .
0 .
1 .
1 .
1 .
0
0
1
1
S T D
X S T G
S C H .6 0
X XT G
. 1 3 3
. 1 7 9
. 2 5 0
. 3 5 8
1 0
1I
S T D
X S T G
S C H .6 0
X XT G
. 1 4 0
. 1 9 1
. 2 5 0
. 3 8 2
2 . 3
3 . 0
3 . 8
5 . 2
0 . 6. 4
0 . 9
1 . 0. 7
1 . 4. 9
1 .
1 .
2 .
2 .
0
1
2
2
0 .
0 .
0 .
0 .
1?4 1
1
2 . 7
3 . 6
4 . 9
6 . 4
0 . 9. 6
1 . 2. 8
1 . 4. 2
1 . 9. 0
0 .
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1 .
1 .
1 .
2 .
3 .
4 .
2.0
2.33.0
3.4
S T D
X S T G
S C H .6 0
X XT G
. 1 4 5
. 2 0 0
. 2 8 1
. 4 0 0
3 . 7. 6. 0. .I STD I .154
2X S T G
S C H .6 0
X XT G
. 2 1 8
. 3 4 3
. 4 3 6
5 . 0. 2. 5
7 . 5. 3. 2
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1 .
1 .
2 .
4 .
6 .
7 .
3.0
4.0
5.0
4
5.C
6.3I I I I
I
IS T D2 0 3
. 2 7 6
. 3 7 5
. 5 5 2
5 . 8
7 . 7
L O . O
1 3 . 7
3 . 3. 1. .
4 . 0. 8. .
5 . 1. 4. 2
7 . 0. 0. 4
4
5
6
9
2 X S T G
S C H .6 0
X XT GI I I I I I
LS T D
3 X S T G
S C H .6 0
X XT G
. 2 1 6. 6. 0. 0. 0
. 3 0 00 . 3. 5. 3. 3
. 4 3 84 . 3, 5. 0. 8
. 6 0 08 . 61 . 0. 3. 2
6
8
1 2
1 4
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7/22/2019 Pressure Vessel Handbook by Megyesy
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391
WEIGHT OF PIPES AND FITTINGs
?lPE I
F t .
R E T U
—
1N G N A T I O N
E L B O W
T
1 8L .
ml
1 80 M .
N A L L
r H K .
N O M
P I P E
S I Z E
9 0 °S . R ,
%
L . R
4
S .I
19
1 2
2 2
9 . 1
1 2 . 5
2 2 . 9
6 . 8
8 . 4
1 6 . 0
4 . 5
6 . 0
I 1 . 0
3 .
4 .
8 .
S T D
X S T G
X XT G
. 2 2 6
. 3 1 8
. 6 3 6
1 3
1 6
3 2 .
9
1
1
3
S 1 ’ D
X S T G
S C H . 1 2 0
S C H .6 0
X XT G
.237
.337
.438
.531
.674
1 0 . 8
1 5 . 0
1 9 . 0
2 2 . 5
2 7 . 5
9 . 0
1 3 . 5
1 5 . 6
1 8 . 0
2 0 . 0
6 . 3
8 . 5
1 0 . 4
1 2 . 0
1 3 . 0
4 .
6 .
7 .
8 .
1 0 .
1
1
2
2
2
1 8
2 5
3 1
4 0
4 0
4
S T D
X S T G
S C H . 1 2 0
S C H .6 0
X XT G
1 5 . 5
2 2 . 0
2 7 . 8
3 2 . 0
3 6 . 0
9 . 6
1 4 . 0
1 8 . 6
2 2 . 0
2 4 . 0
3 0
4 4
5 5
6 5
7 2
1 9
2 8
3 7
4 4
4 8
2
2
4
5
4
. 2 5 8
. 3 7 5
. 5 0 0
. 6 2 5
. 7 5 0
1 4 . 6
2 0 . 8
2 7 . 0
3 3 . 0
3 8 . 6
5
1 8 . 0
2 3 . 0
3 0 . 0
3 8 . 04 4 . 0
1 2 .
1 7 .
2 2 .
3 0 .3 2 .
5 0
7 0
9 0
1 2 01 3 0
3 5
4 6
6 0
7 68 7
3
4
6
66
S T D
X S T G
S C H .2 0
S C H .6 0X XT G .
. 2 8 0
. 4 3 2
. 5 6 2
. 7 1 8, 8 6 4
1 9 . 0
2 8 . 6
3 6 . 4
4 5 . 35 3 . 2
2 4 . 5
3 5 . 0
4 5 . 2
5 7 . 06 5 . 0
6
7 3
8 1
9 5
1 1 7
1 4 2
1 6 8
2 0 2
2 2 2
2 3 02 3 6
4 8
5 4
6 8
7 8
100.0
112.0
1 3
1 4
1 61 5
5
5
5
7 C
7
9
11
1
11
. 2 5 0
. 2 7 7
. 3 2 2
. 4 0 6
.500
.593
.718
.812
.906
.875
2 2 . 4
2 4 . 7
2 8 . 6
3 5 . 6
4 3 . 4
5 0 . 9
6 0 . 6
6 7 . 8
7 4 . 7
7 2 . 4
3 6 . 5
4 0 . 9
5 0 . 0
5 8 . 0
7 1 . 0
8 4 . 0
1 0 0 . 8
1 1 1 . 0
1 2 0 . 0
1 1 8 . 0
2 4 . 4
2 7 . 0
3 4 . 0
3 9 . 1
47.5
5 6 . 0
6 6 . 0
7 4 . 0
8 0 . 07 9
1 8 ,
2 0 .
2 3 .
2 9 .
3 5 .
4 2 .
5 0 .
5 5 .
6 2 .6 0 .
SCH. 2 0
S C H . 0
S T D
S C H . 0
X .T G .
S C H .0 0
S C H .2 0
S C H .4 0
S C H .6 0
X XT G .
8
2 8 .
3 . 5 .
4 3
5 3
1 1 4
1 4 3
1 7 7
2 1 5
7
8 1
8
1
S C H . 0
S C H . 0
S T D .
x s ’ r G .
. 2 5 0
, 3 0 7
. 3 6 5
. 5 0 C
2 8 . 0
3 4 . 2
4 0 . 5
5 4 . 7
5 6 . 8
7 1 . 4
8 8 . C
1 0 7 . (
3 8 . 2
4 6 . 8
5 8 . C
7 0 . C
10
( c o n t . )
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7/22/2019 Pressure Vessel Handbook by Megyesy
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392
WEIGHT OF PIPES AND FITTINGS
E L B O WE T UN O M .
N A L L
[ “ H K .
TOM .P I P E
S I Z E
P I P E
1f t .
9 0 °
L . R .
\
9 0 °
S . R .
4 5L . R
4
1 8 0
L . R
m
1 8S .
n
) E S G N A ” I ’ I O N
( c o n t . )
10
S C H . 0
S C H .0 0
S C H .2 0
S C H .4 0
S C H .6 0
. 5 9 2
. 7 1 8
. 8 4 3
1 . 0 0 0
1 . 1 2 5
6 4 . 4
7 7 . 0
8 9 . 2
1 0 4 . 2
1 1 6 . 0
1 3 3
1 5 9
1 8 5
2 1 4
2 6 0
8 8
1 0 6
1 2 3
1 4 3
1 7 4
6
7
9
1 0
1 3
2 6
3 1
3 7
4 2
5 3
1
2
2
2
3
1
1
2
2
2
S C H . 0
S C H . 0
S T D .
S C H . 0
X S T G
S C H . 0
S C H . 0
S C H .0 0
S C H .2 0
S C H .4 0
S C H .6 0
. 2 5 0
. 3 3 0
. 3 7 5
. 4 0 6
. 5 0 0
. 5 6 2
. 6 8 7
. 8 4 3
1 . 0 0 0
1 . 1 2 5
1 . 3 1 2
3 3 . 4
4 3 . 8
4 9 . 6
5 3 . 6
6 5 . 4
7 3 . 2
8 8 . 6
1 0 8 . 0
1 2 5 . 5
1 4 0 . 0
1 6 1 . 0
8 2
1 0 8
1 2 5
1 3 2
1 6 0
1 8 2
2 1 9
2 6 8
3 1 1
3 4 7
4 5 0
5 5
7 2
8 0
8 8
1 0 4
1 2 1
1 4 6
1 7 7
2 0 7
2 3 1
3 0 0
4
5
6
6
8
9
1 0
1 3
1 5
1 7
2 2
1 6
2 1
2 3
2 6
3 2
3 6
4 3
5 3
6 2
6 9
9 1
1
1
1
1
2
2
2
3
4
4
6
1
1
1
1
1
2
2
3
3
4
4
1
S C H . 0
S C H . 0
S T D .
S C H . 0
X S T G
S C H . 0
SCH. 80
S C H .0 0
S C H .20
S C H .4 0
S C H .6 0
. 2 5 0
3 1 2
. 3 7 5
. 4 3 8
. 5 0 0
. 5 9 3
.750
. 9 3 7
1 . 0 9 3
1 . 2 5 0
1 . 4 0 6
3 7 . 0
4 6 , 0
5 5 . 0
6 3 . 0
7 2 . 0
8 5 . 0
1 0 7 . 0
1 3 1 . 0
1 5 1 . 0
1 7 1 . 0
1 9 0 . 0
1 0 6
1 3 2
1 6 0
1 8 3
2 0 5
2 4 5
310
4 2 5
5 7 2
7 0
8 7
1 0 5
1 2 2
1 4 0
1 6 3
2 0 5
3 8 2
5
6
8
9
1 0
1 2
154
2 1
2 8
2 1
2 6
3 2
3 6
4 0
4 9
6 1
8 5
1 0 9
1
1
2
2
2
3
4
7
1
2
1
2
2
3
369
2
2
1
2
4
S C H . 0
I C H . 0
; C H . 0T D
S C H . 4 0 XT C
I C H . 0
. 2 5 0
. 3 1 2
. 3 7 5
. 5 0 0
. 6 5 6
4 2 . 0
5 2 . 0
6 3 . 0
8 3 . 0
1 0 8 . 0
1 3 9
1 7 2
2 0 6
2 7 6
3 5 5
9 2
1 1 5
1 3 2
1 7 4
2 3 6
6
8
1 0
1 3
1 7
1
2
2
3
4
1
( c o n t . )
7/22/2019 Pressure Vessel Handbook by Megyesy
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393
W O P A F
E L B O WE T UN O M .
N O M . o T
P 1 p EM I G N A T I O NA L Ll : EO ; . .O ; .5 :8 8S I Z E H K .
- 4 f - -
( c o n t . )S C H . 08 4 33 75 00 02 0
S C H . 1 O O. 0 3 16 5
1 S C H . 1 2 0. 2 1 89 3
S C H .4 0. 4 3 82 4
S C H .6 0. 5 9 34 50 94 006 0
S C H . 02 5 0 77 61 83 5
S C H . 03 1 2 91 94 61 3
S T D3 7 5 16 06 72 1
S C H . 04 3 8 20 80 55 1
X S T G5 0 0 34 01 96 9
1S C H . 05 6 20 59 05 99 8
S C H . 07 5 03 89 44 04 8
S C H .0 ’9 3 77 13 42 212
S C H .0 0. 1 5 60 8
S C H .2 0. 3 7 54 4
S C H .4 0. 5 6 27 5
S C H .6 0. 7 8 10 9
S C H . 02 5 0 31 74 40 3
S C H . 0T D3 7 5 92 01 06 4
S C H . 3 0 X S T G5 0 00 52 07 50 3
S C H . 05 9 32 30 63 850
20S C H . 08 1 26 79 05 743
SCH.80 1.031 209 861 573 431 1722 1146 102
S C H .0 0. 2 8 15 6
S C H .2 0. 5 . O C9 7
S C H .4 0. 7 5 04 2
S C H .6 0. 9 6 87 9
. 2 . 5 0 86 27 43 2
. 3 1 2 2
22 . 3 7 5 79 49 8
. 4 3 70 3
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7/22/2019 Pressure Vessel Handbook by Megyesy
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394
WEIGHT OF PIPES AND FITTINGSm r ,. -..
R E ’ 1 ’J O M ,
V A L L
[ ’ H K .
L1. DU w
4 5
L . R
4
P I P E
1 F ’ 1 ’0 ”
S . R .
%
1 8
L .
n
1 8
S .
n
IN O M .
P I P E
S I Z E
9 0 °
L . R .
) E S I G N A ’ I I O N
~ c o n t .
22
. 5 6 2
. 6 2 5
. 6 8 8
. 7 5 0
1 2 9
1 4 3
1 5 7
1 7 0
3 1 4
4 6 0
6 0 0
7 0 2
8 4 61 1 8 8
1 4 7 0
2 0 8
2 9 8
3 9 2
4 7 0
5 6 47 8 3
9 7 7
1 5
2 3
3 0
3 5
4 25 9
7 3
4
5
7
9
1 11 5
1 9
6
5
6
9
11
1
S C H . 0
S C H . 0T D
X S T G
S C H . 0
S C H . 0S C H . 0
S C H . 0
S C H .0 0
S C H .2 0
S C H .4 0
S C H .6 0
. 2 5 0
. 3 7 5
. 5 0 0
. 5 6 2
. 6 8 7
. 9 6 8
1 . 2 1 8
1 . 5 3 1
1 . 8 1 2
2 . 0 6 2
2 . 3 4 3
6 3
9 5
1 2 5
1 4 1
1 7 12 3 8
2 9 7
3 6 7
4 2 9
4 8 4
5 4 2
6 2
8 9
1 2
1 4
1 62 3
2 9
2
. 2 5 0
. 3 1 2
. 3 7 5
. 4 3 7
. 5 0 0
. 5 6 2
. 6 2 5
. 6 8 8
6 7
8 41 0 3
1 1 9
1 3 6
1 5 3
1 6 9
1 8 6
7
8
5 5 0
7 2 9
j J 7
3 6
1 1
1 46
6 1 2
7 3 4
9 7 5
306
367
488
1 2
1 4
1 9
1
1
1
. 3 1 2
. 3 7 5
. 5 0 0
99
119
158
930
1235304 6 4
6 1 . 8
7/22/2019 Pressure Vessel Handbook by Megyesy
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395
W O F
150 Ibs, 300 lbs.
2 .
3 .
4 .
5 .
7 .
8 .
1 2 .
1 6 .
V E
1 4
1 7
1 9
2 8
3 6
2 . 0
2 . 0
2 . 0
3 . 0
S L I PO N
1 . 5
2 . 5
3 . 0
4 . 5
6 . 5
7 . 0
1 0 . 0
1 3 . 0
S L I PO N T U D S
1 . 0
1 . 0
1 . 0
1 . 0
%
1
1%
1 . 0
1 . 5
2 . 0
2 . 5
2 . 0
2 . 0
2 . 5
2 . 5
2
3
4
6
7
8
1 2
1 6
2
2
2
3
4
7
7
8 . 0
1 0 . 0
1Y2
2
2%
3
4 . 0
6 . 0
1 0 . 0
1 1 . 5
1 2 . 0
1 6 . 0
2 1 . 0
2 4 . 0
3 . 0
4 . 0
7 . 0
9 . 0
1 . 0
1 . 5
1 . 5
1 . 5
5 . 0
8 . 0
9 . 0
3
4
5
6
2 1
2 7
3 5
5 0
8 1
1
1
2
7
7
8
1
1
3
4
6
1 2 . 0
1 3 . 0
1 8 . 0
1 2 . 0
1 6 . 0
2 0 . 0
2 4 . 0
3 1 . 0
4 7 . 0
5 7 . 0
7 7 . 0
1 0 3
1 5 0
2 1 5
2 2 1
1 3 . 0
1 7 . 0
2 0 . 0
2 6 . 0
4 5 . 0
7 0 . 0
1 1 0
1 3 1
1 7 0
2 0 9
2 7 2
3 3 3
3 . 5
4 . 0
6 . 0
6 . 0
6 . 5
1 5 . 0
1 5 . 0
2 2 . 0
1 6 . 0
2 1 . 0
2 6 . 0
3 5 . 0
5 4 . 0
7 7 . 0
1 1 0
1 6 4
2 0 .
2 5 .
3 4 .
4 5 .
7 0 .
9 9 .
1 4
1 8
2 4
3 0
3 7
4 2
4 5
5 4
8 6
1 0 8
1 5
2 1
2 8
3 4
8
10
1
14
2 8 . 0
3 7 . 0
6 0 . 0
7 7 . 0
4 2 . 0
5 5 . 0
8 5 . 0
1 1 4
18
20
22
93,0
120
155
159
1 4 2
1 5 5
1 7 0
2 2 4
254
278
324
439
470
600
3 1 . 0
4 1 . 0
5 2 . 0
6 9 . 0
220
280
325
433
4 2
4 9
5 7
3
3
4
5
8
1
1
1
24
26
30
2 1 0
2 4 8
3 1 9
260
270
375
4 1 1
4 9 8
6 8 1
7 1 . 0
9 3 . 6
1 1 2 . 0
4 9 0
5 5 2
7 7 9
5 4
6 1
8 5
8 2
8 7
1 1
7
9
1 4
1
2
3
I I
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396
W O F
600 lbs.4 l
1 . O N
1 1 . 0
1 4 . 0
S L I PO N
J
S L I PO N
2 . 0
3 . 0
3 . 5
4 . 5
1 . 0
2.0
2.0
2.0
S
2 . 0
3 . 0
4 - 0
6 . 0
h
%
1
l%
2 . 0
3 . 0
3 . 5
4 . 5
3 .
3 .
4 .
5 .
2.0
3.0
4.0
6.0
1
2
2
2
3 . 0
3 . 5
4 . 0
5 . 5
1 1
1 4
l
2
V/ i
3
8 - 0
1 0 . 0
1 5 . 0
2 0 . 0
3 . 5
4 . 5
7 . 5
7 . 7
1 1 . 6
1 2 . 0
1 2 . 5
1 9 . 0
6 . 5
8 . 0
1 2 . 0
1 5 . 0
2 1 . 0
3 3 . 0
6 3 . 0
8 0 . 0
8 .
1 0 .
1 4 .
1 8 .
2 6 .
3 7 .
6 8 .
7 3 .
1 1 2 .
1 8
2 2
3 4
1 7
2 1
2 9
3 8
8
1 0
1 5
2 0
3
4
8
8
6 . 5
8 . 0
1 2 . 0
1 5 . 0
8 . 0
1 0 . 0
1 4 . 0
1 8 . 0
1 7 . 0
2 1 . 0
2 9 . 0
3 8 . 0
3
4
5
6
4 8 . 0
6 7 . 0
9 0 . 0
1 1 5 . 0
29.0
33.0
44.0
61.0
4 8
8 0
1 2
1 5
29.0
41.0
68.0
86.0
139
231
295
378
1
1
1
3
2 1 . 0
2 4 . 0
3 1 . 0
3 9 . 0
6 3 . 0
9 1 . 0
1 2 9
1 9 1
2 5 3
3 1 0
3 7 8
4 6 4
2 6 . 0
3 0 . 0
3 9 . 0
4 9 . 0
8
10
1
14
1 4 0
2 3 0
3 0 1
3 3 6
1 0 0
1 5 5
2 2 6
3 1 0
3 0 . 0
5 2 . 0
6 9 . 0
8 8 . 0
9 7 . 0
1 7 7
2 1 5
2 5 9
2 1
3 2
5 0
4 1
7
9
152
1
2
2
7 8 . 0
1 1 0 . 0
1 6 0
2 3 3
564
6 5
8 4
1 1 0
1 2 5
1 5 2
527
6
8
9
1
1
2
2
294
3 6 0
4 4 5
4 6 5
416
4 8 1
5 6 3
398
5 0 2
6 2 1
6 8 5
114
1 3 9
1 8 0
2 0 5
2 7 4
3 0 7
4 5 3
366
4 7 6
6 1 2
6 4 3
8 7 6
8 9 8
1 1 5 8
481
555
690
7 1
9 7
9 6
1 2 3
1
24
26
30
7 9 9
9 7 0
1 2 3 0
9 3 6
1 1 1 1
1 5 9 6
1
, 4
, 9
J
3
3
5
5 3 9
6 1 6
8 5 9
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397
W FLANGES
9 l 1500 lN O M .P I P ES I Z E1
O N G .3 L I N D
4 . 0
6 . 0
9 . 0
1 0 . 0
1 4 . 0
2 5 . 0
3 5 . 0
3 2 . 0
I
5 4 . 0
I8 7 . 0
I
1 1 3
zE Li E C
7 .
7 .
8 .
1 0 .
:
1 5
1 8
2 3
4 4
7 2
8 4
W E L DN E C K
S L I PO NT U D S L
7 . 0
7 . 0
8 . 5
1 0 . 0
1 4 . 0
2 4 . 0
3 6 . 0
2 9 . 0
3 . 2
3 . 3
6 . 0
6 . 0
7 . 5
1 0 . 0
1 4 . 0
2 5 . 0
3 6 . 0
4 8 . 0
4
6
9
1 0
3
3
6
6
6 . 0
6 . 0
7 . 5
1 0 . 0
1 5 . 0
1 8 . 0
2 3 . 0
4 4 . 0
6 5 . 0
7 2 . 0
9 8 . 0
1 4 3
1 9 9
1?4
2
2 ?
3
1 4 . 0
2 5 . 0
3 6 . 0
3 1 . 0
1 4 .
2 4 .
3 6 .
4 8 .
1 4
2 5
3 5
4 8
9
1
1
2
1 9 . 0
1 2 . 5
3
4
5
6
25.0
33.0
40.0
1 1
1 9
2 3
7
1
1
3
6
7
5 3 . 0
8 3 . 0
1 0 8 . 0
1 7 2
2 4 5
3 2 6
3 8 0
5 1 . 0
8 6 . 0
1 1 0 . 0
7 3 . 0
1 3 2 . ( )
1 6 4
6 9 .
1 3 2 .
1 6
8
10
12
14
16
18
20
22
24
26
30
3 1 0
3 8 5
6 6 7
5 5 8
1 9 7
2 9 0
4 1 3
4 9 4
6 1 9
8 8 0
1 1 0 7
2 0 9 9
2 2 0 0
3 0 2 5
6 9 . 0
9 5 . 0
1 2 4
1 5 9- —
199
299
361
2 7
4 5
6 9
9 4
3 6
6 1
1 0
1335
1 7
2 1
3
5
7
9
1
1
3
4
1 8 7
2 6 8
3 7 2
570
7
.
670
949
.040
1775
1650
2200
.250
. 6 2
~ 0 5
1300
1 7
2 2
4 5 9
6 4 7
7 9 2
1 4 8 0
1 4 5 0
1 9 9 0
6 8 5
9 2 4
1 1 6 4
2 1 0 7
1 6 5 0
2 2 9 0
3 1 6
2 2
3 0
13 2
1 5 7
2 1 5
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398
WEIGHT OF FLANGES
— -
NOM. -
SIZE :
4
3/4
1
1
2 l
. ILL I PO N
E L3 C
L I PO N
7 . 0
9 . 0
1 2 . 0
1 8 . 0
E L DE C Ku D s
3 . 4
3 . 6
6 . 0
9 . 0
1 2 . 0
2 1 . 0
2 7 . 0
3 7 . 0
‘ 6 1
9 8
1 4 5
2 3 2
4 4 5
6 2 2
12 0 . 0
3 0 . 0
3 8 . 0
5 5 . 0
8 5 . 0
2 5 . 0
8 . 0
9 . 0
1 3 . 0
2 0 . 0
1 0 . 0
1 2 . 0
1 8 . 0
2 5 . C
3 9 . C
5 6 . (
8 6 . (
1 3 3
2 2 3
3 4 5
5 3 3
0 2 5
4 6 4
1?4
2
2?4
3
25.C
38.(
55.(
83.(
.27
10
\23
185
925
300
28.0
42.C
52.C
94.(
3
4
5
6
, 8 5
1 0 0
k 5 0
1 4 6
2 4 4
3 7 8
8
IC
1
1
1
20
2:
5 7 6
0 6 8
6 0 8
5 0 0
1 5 0
5 6 0
24
2(
30
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399
Manufacturers”Standard Gagefor
S S
This gagesystem replaces U.S. Standard Gagefor Steel Sheets.
It is based on Weight 41.82 pounds per square foot per inch of thickness.
In ordering steel sheets, it is advisable to g a
M M
E S S E S S
3 I . I 0 . . I .
4 , . 9 . . 1
5 . . 8 . . 1
6 . . . . I ,7 . . 7 . . .
8 . . 6 . . .
9 I . 6 . ..
.
. 5 , .
..
. 5 . .
.
.
. 4 . .
.
.
. 3 . .
.
.
. 3 . .
. . I
.
2 . .
. . 2
.
. . .. , 2 . .
, .
.
2 . .. .
.
1 . .. .
.
1 , . .
G S
OT
OT
GLb. per
Equivalent Galv. Lbs. Per Lb.E
S S S G
G ;
G
S S
8 1 7 . 0 3 1 2 5. ( ? 4 8 8 2 8, 1 6 8 1 14 .. 5 3 10 19 1 0 2 . 5. 4 0 6 2 50 4 4 4 8 81 5 3 2 22 .. 4 0 60 0 91 02 . 5. 7 8 1 2 50 4 0 1 4 81 3 8 2 30 .. 2 8 10 0 81 12 . 5. 1 5 6 2 50 3 S 8 0 71 2 3 34 18.5 1.15625 .0080295 .0276
12 72.5 4.53125 .031467 .1084 25 16.5 1.03125 .0071615 .024713 62.5 3.90625 .027127 .0934 26 14.5 .90625 .0062934 .0217
14 52.5 3.28125 .022786 .0785 27 13.5 .84375 .0058594 .0202
1.5 47.5 2.96875 .020616 .0710 28 12.5 .78125 .0054253 .0187
16 42.5 2.65625 .018446 .0635 29 11.5 .71875 .0049913 .0172
17 38.5 2.40625 .016710 .0575 30 10.5 .65625 .0045573 .0157
18 34.5 2.15625 .014974 .0516 31 9.5 .59375 .0041233 .0142
19 30.5 1.90625 .013238 .0456 32 9.0 .56250 .0039062 .0134
20 26.5 1.65625 .011502 .0396
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400
WEIGHT OF PLATESPounds Per Linear Foot
‘idth
In.
%
‘ / 2
%
1
1 %1 Y 21 %2
2 ? 4
2 ? 42 %3
3 %. 3 %3 %4
4 %4 %4 3 h5
5 %
5 %5 %6
6 %6 ? J 26 %7
7 %7 %7 %8
8 %8 %8 3 A9
9 %9 %9 %
Thickness, Inches
1
.123
4556
789
1
1111
1111
1
112
2222
2222
2223
3333
? %
15<6
% %
. 61 .2 .2 .
3 .4 .4 .5 .
6 .
6 .7 .8 .
8 .9 .
1 01 1
1 11 21 31 3
1 4
1 51 51 6
1 71 81 81 9
2 02 02 12 2
2 22 32 42 4
2 :2 62 7
. 71 .2 .2 .
3 .4 .5 .5 .
6 .7 .8 .8 .
9 .1 01 11 1
1 21 31 41 4
1 5
1 61 71 7
1 81 92 02 0
2 12 22 32 3
2 42 52 62 6
2 72 82 92 9
.123
3456
7789
:1[1
1111
1
111
1222
~222
2222
2333
. 1 6
. 3 2
. 4 8
. 6 4
. 8 0
. 9 61 . 1 21 . 2 8
1 . 4 3
1 . 5 91 . 7 51 . 9 1
2 . 0 72 . 2 32 . 3 92 . 5 5
2 . 7 12 . 8 73 . 0 33 . 1 9
3 . 3 5
3 . 5 13 . 6 73 . 8 3
3 . 9 84 . 1 44 . 3 04 . 4 6
4 . 6 24 . 7 84 . 9 45 . 1 0
5 . 2 65 . 4 25 . 5 85 . 7 4
5 . 9 C6 . 0 66 . 2 26 . 3 8
. 2 1
. 4 3
. 6 4
. 8 5
1 . 0 61 . 2 81 . 4 91 . 7 0
1 . 9 1
2 . 1 32 . 3 42 . 5 5
2 . 7 62 . 9 83 . 1 93 . 4 0
3 . 6 13 . 8 34 . 0 44 . 2 5
4 . 4 6
4 . 6 84 . 8 95 . 1 0
5 . 3 15 . 5 35 . 7 45 . 9 5
6 . 1 66 . 3 86 . 5 96 . 8 0
7 . 0 17 . 2 37 . 4 47 . 6 5
7 . 8 68 . 0 88 . 2 $
8 . 5 (
. 2 7
. 5 3
. 8 01 . 0 6
1 . 3 31 . 5 91 . 8 62 . 1 3
2 . 3 9
2 . 6 62 . 9 23 . 1 9
3 ; 4 53 . 7 23 . 9 84 . 2 5
4 . 5 24 . 7 85 . 0 55 . 3 1
5 . 5 8
5 . 8 46 . 1 16 . 3 8
6 . 6 46 . 9 17 . 1 17 . 4 4
7 . 7 (7 . 9 18 . 2 2
8 . 5 (
8 . 7 ;9 . 0 :9 . 3 (9 - 5 (
9 . 8 :1 0 . 11 0 . 41 0 . 6
. 3 2
. 6 4
. 9 61 . 2 8
1 . 5 91 . 9 12 . 2 32 . 5 5
2 . 8 7
3 . 1 93 . 5 13 . 8 3
4 . 1 44 . 4 64 . 7 85 . 1 0
5 . 4 25 . 7 46 . 0 66 . 3 8
6 . 6 9
7 . 0 17 . 3 37 . 6 5
7 . 9 78 . 2 98 . 6 18 . 9 3
9 . 2 49 . 5 69 . 9 8. 0 . 2
, 0 . 51 0 . 81 1 . 21 1 . 5
1 1 . 81 2 . 11 2 . 41 2 . 8
. 3 7
. 7 41 . 1 21 . 4 9
1 . 8 62 . 2 32 . 6 02 . 9 8
3 . 3 5
3 . 7 24 . 0 94 . 4 6
4 . 8 35 . 2 15 . 5 85 . 9 5
6 . 3 26 . 6 97 . 0 77 . 4 4
7 . 8 1
8 . 1 88 . 5 58 . 9 3
9 . 3 09 . 6 7
1 0 . 01 0 . 4
1 0 . 81 1 . 21 1 . 51 1 . 9
1 2 . 31 2 . 61 3 . 01 3 . 4
1 3 . 81 4 . 11 4 . 51 4 . 9
. 4 3
. 8 51 . 2 81 . 7 0
2 . 1 32 . 5 52 . 9 83 . 4 0
3 . 8 3
4 . 2 54 . 6 85 . 1 0
5 . 5 35 . 9 56 . 3 86 . 8 0
7 . 2 37 . 6 58 . 0 88 . 5 0
8 . 9 3
9 . 3 59 . 7 8
1 0 . 2
1 0 . 61 1 . 11 1 . 51 1 . 9
1 2 . 31 2 . 81 3 . 21 3 . 6
1 4 . 01 4 . 51 4 . 91 5 . 3
1 5 . 71 6 . 21 6 . 61 7 . 0
. 4 8
. 9 61 . 4 31 . 9 1
2 . 3 92 . 8 73 . 3 53 . 8 3
4 . 3 0
4 . 7 85 . 2 65 . 7 4
6 . 2 2 16 , 6 97 . 1 77 . 6 5
8 . 1 38 . 6 19 . 0 89 . 5 6
1 0 . 0
1 0 . 51 1 . 01 1 . 5
1 2 . 01 2 . 41 2 . 91 3 . 4
[ 3 . 91 4 . 31 4 . 81 5 . 3
1 5 . 81 6 . 31 6 . 71 7 . 2
1 7 . 71 8 . 21 8 . 71 9 . 1
. 5 31 . 0 61 . 5 92 . 1 3
2 . 6 63 . 1 93 . 7 24 . 2 5
4 . 7 8
5 . 3 15 . 8 46 . 3 8
6 . 9 17 . 4 47 . 9 78 . 5 0
9 . 0 39 . 5 6
1 0 . 11 0 . 6
1 1 . 2
1 1 . 71 2 . 21 2 . 8
1 3 . 31 3 . 81 4 . 31 4 . 9
1 5 . 41 5 . 91 6 . 51 7 . 0
1 7 . 51 8 . 11 8 . 61 9 . 1
1 9 . 72 0 . 22 0 . 72 1 , 3
. 51 . 1 71 . 7 52 . 3 4
2 . 9 23 . 5 14 . 0 94 . 6 8
5 . 2 6
5 . 8 46 . 4 37 . 0 1
7 . 6 08 . 1 88 . 7 79 . 3
9 . 91 0 . 51 1 . 11 1 . 7
1 2 . 3
1 2 . 91 3 . 41 4 . 0
1 4 . 61 5 . 21 5 . 81 6 . 4
1 7 . 01 7 . 51 8 . 11 8 - 7
1 9 . 31 9 . 92 0 . 52 1 . 0
2 1 . 62 2 . 22 2 . 82 3 . 4
~
I I
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401
‘idth
In.
1 1
1 1 %1 1 Y 21 1 %1 2
1 2 ? ” 21 31 3 %1 4
1 4 %1 51 5 %1 6
1 6 Y 21 71 7 %1 8
1 8 Y 21 91 9 %
2 1
2 2
2 2 %2 32 3 ? / z2 4
2 52 62 72 8
2 93 03 13 2
WEIGHT OF PLATESPounds Per Linear Foot
6 . 5 36 . 6 96 . 8 57 . 0 1
7 . 1 77 . 3 37 . 4 97 . 6 5
7 . 9 78 . 2 98 . 6 18 . 9 3
3 . 2 49 . 5 69 . 8 8
1 0 . 2
1 0 . 51 0 . 81 1 . 21 1 . 5
1 1 . 81 2 . 11 2 . 41 2 . 8
1 3 . 11 3 . 41 3 . 71 4 . 0
1 4 . 31 4 . 71 5 . 01 5 . 3
1 5 . 91 6 . 61 7 . 21 7 . 9
1 8 . 51 9 . 11 9 . 82 0 . 4
8 . 7 18 . 9 39 . 1 49 . 3 5
9 . 5 69 . 7 89 . 9 9
1 0 . 2
1 0 . 61 1 . 11 1 . 51 1 . 9
1 2 . 31 2 . 81 3 . 21 3 . 6
1 4 . 01 4 . 51 4 . 91 5 . 3
1 5 . 71 6 . 21 6 . 61 7 . 0
1 7 . 41 7 . 91 8 . 31 8 . 7
1 9 . 11 9 . 62 0 . 02 0 . 4
2 1 . 32 2 . 12 3 . 02 3 . 8
2 4 . 72 5 . 52 6 . 42 7 . 2
5/6
. 0 . 9
. 1 . 2, 1 . 4 1 . 7
[ 2 . 01 2 . 21 2 . 51 2 . 8
1 3 . 3[ 3 . 81 4 . 31 4 . 9
1 5 . 41 5 . 91 6 . 51 7 . 0
1 7 . 51 8 . 11 8 . 61 9 . 1
1 9 . 72 0 . 22 0 . 72 1 . 3
2 1 . 82 2 . 32 2 . 82 3 . 4
2 3 . 92 4 . 42 5 . 02 5 . 5
2 6 . 62 7 . 62 8 . 72 9 . 8
3 0 . 83 1 . $3 2 . $
3 4 . (
%
1 3 . 11 3 . 41 3 . 71 4 . 0
1 4 . 31 4 . 71 5 . 01 5 . 3
1 5 . 91 6 . 61 7 . 21 7 . 9
1 8 . 51 9 . 11 9 . 82 0 . 4
2 1 . 02 1 . 72 2 . 32 3 . 0
2 3 . 62 4 . 22 4 . 92 5 . 5
2 6 . 12 6 . 82 7 . 42 8 . 1
2 8 . 72 9 . 33 0 . 03 0 . 6
3 1 . 93 3 . 23 4 . 43 5 . 7
3 7 . C3 8 . 33 9 . 54 0 . 8
1 5 . 31 5 . 61 6 . 01 6 . 4
1 6 . 71 7 . 11 7 . 51 7 . 9
1 8 . 61 9 . 32 0 . 12 0 . 8
2 1 . 62 2 . 32 3 . 12 3 . 8
2 4 . 52 5 . 32 6 . 02 6 . 8
2 7 . 52 8 . 32 9 . 02 9 . 8
3 0 . 53 1 . 23 2 . C3 2 . 7
3 3 . 53 4 . 13 5 . C3 5 . 7
3 7 . 23 8 . 74 0 . 24 1 . 7
4 3 . 14 4 . t4 6 . 14 7 . (
1 7 . 41 7 . 91 8 . 31 8 . 7
1 9 . 11 9 . 62 0 . 02 0 . 4
2 1 . 32 2 . 12 3 . 02 3 . 8
2 4 . 72 5 . 52 6 . 42 7 . 2
2 8 . 12 8 . 92 9 . 83 0 . 6
3 1 . 53 2 . 33 3 . 23 4 . 0
3 4 . 93 5 . 73 6 . 63 7 . 4
3 8 . 33 9 . 14 0 . 04 0 . 8
4 2 . 54 4 . 24 5 . 94 7 . 6
4 9 . 35 1 . 05 2 . 75 4 . 4
1 9 , 6~ o .~ o . 6~ 1 . o
~ 1 . 5~ z . o2 2 . 52 3 . ( )
2 3 . 9~ 4 . 92 5 . 8~ & t 3
2 7 . 72 8 . 72 9 . 63 0 . 6
3 1 . 63 2 . 53 3 . 53 4 . 4
3 5 . 43 6 . 33 7 . 33 8 . 3
3 9 . 24 0 . 24 1 . 14 2 . 1
4 3 . (4 4 . (~ . $
4 5 . :
4 7 . 84 9 . 75 1 . 65 3 . 6
5 5 . 55 7 . 45 9 . :
6 1 . :
5
2 1 . 82 2 . 3~ 2 . 82 3 . 4
2 3 . 92 4 . 42 5 . 02 5 . 5
2 6 . 62 7 . 62 8 . 72 9 . 8
3 0 . 83 1 . 93 2 . 93 4 . C
3 5 . 13 6 . 13 7 . 23 8 . 3
3 9 . 34 0 . 44 1 . 44 2 . 5
4 3 . 64 4 X4 5 .4 6 . $
4 7 . $4 8 $4 9 . {
5 1 . (
5 3 . 15 5 . :5 7 . 45 9 .
6 1 . (6 3 . .6 5 . :
6 8 . (
11J6
~ 4 . o~ 4 . 52 5 . 12 5 . 7
2 6 . 32 6 . 92 7 . 52 8 . 1
2 9 . 23 0 . 43 2 . 63 2 . 7
3 3 . 93 5 . 13 6 . 23 7 . 4
3 8 . 63 9 . 74 0 . 94 2 . 1
4 3 . 24 4 . 44 5 . 64 6 . 8
4 7 . 5
4 9 . 15 0 . :
5 1 . 4
5 2 . (5 3 . $5 4 . :
5 6 . 1
5 8 . 46 0 . 86 3 . 16 5 . 5
6 7 . $7 0 . 17 2 . 57 4 . 8
3
~ 7 . 4
Z 8
~ 8 . ’2 9 .3 0 .3 0 .
3 1 .3 3 .3 4 .3 5 .
3 7 .3 8 .3 9 .4 0 .
4 2 .4 3 .4 4 .4 5 .
4 7 .4 8 .4 9 .5 1 .
5 2 .5 3 ,5 4 .5 6 .
5 7 .5 8 .5 9 .6 1 .
6 3 .6 6 .6 8 .7 1 .
7 4 .7 6 .7 9 .8 1 .
2 82 92 93 0
3 13 13 23 3
3 43 53 73 8
4 04 14 24 4
4 54 74 84 9
5 15 25 35 5
5 65 85 96 0
6 26 36 46 6
6 97 17 47 7
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WEIGHT OF PLATESPounds Per Linear Poot
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3 33 43 53 6
3 73 83 94 0
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4 54 64 74 8
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WEIGHTS OF PLATESPounds Per Linear Foot
7 37 47 57 6
7 77 87 98 0
8 1
8 28 38 4
8 58 68 78 8
8 9
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2 6 72 7 12 7 62 8 1
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1 81 81 91 9
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2 72 72 82 8
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2 52 62 62 6
2 72 72 82 8
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6 9 . 77 0 . 67 1 . 4
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1 3 81 4 01 4 11 4 3
1 4 61 4 91 5 21 5 5
1 5 81 6 11 6 41 6 7
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1 4 51 4 61 4 81 5 0
1 5 11 5 31 5 51 5 6
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1 6 71 7 01 7 31 7 7
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1 9 41 9 72 0 12 0 4
2 0 72 1 12 1 42 1 8
1 4 01 4 21 4 31 4 5
1 4 71 4 91 5 11 5 3
1 5 5
1 5 71 5 91 6 1
1 6 31 6 51 6 61 6 8
1 7 01 7 21 7 41 7 6
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W C P
ALL DIMENSIONS IN INCHES
:
CIIA
1.00
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4 55 55 66 6
m .668.845
1.0431.262
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1.1301,367
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z2.3502.7263.129
3.5604.0194.5065.020
5.5636.1336.7317.356
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2.8933.2653.6614.079
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W C P
iLL DIMENSIONS IN INCHES WEIGHTS IN POUNDS
,DIA % ‘ h ‘ 1
4— .2 0 7 0 7 4 1 7 49 1
& 2 1 8 2 9 6 9 12 3 2 9 7 4 1 9 ; :1 02 3 % 3 1 8 6 4 1 9 7L 0 0
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W C P
ALL DIMENSIONS IN INCHES .WEIGHTS IN POUNDS
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3 2 77 43 3 38 13 3 98 73 4 59 4
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W C P
iLL DIMENSIONS IN INCHES
DIAI 3/lfJ ‘/4 6
18 2 5 4. 3 :2 30 87 8 t i5 7? 81 47 96 04 73 42 17 3 %6 45 23 92 7
WEIGHTS IN POUNDS
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408
W C P
.LL DIMENSIONS IN INCHES WEIGHTS IN POUNDS
~lA 3/16 ‘/4I
5/16I
‘/8 7/16 1/2I
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1 1 00 57 34 10 1 01 7 83 4 65 1 46 8 38 50 11 ’1 1 0 %0 97 94 90 1 91 8 93 5 85 2 86 9 88 60 32 31 1 11 48 55 70 2 81 9 93 7 15 4 27 1 38 80 52 31 l l Y Z1 99 26 40 3 72 1 03 8 35 5 67 2 99 00 72 4
1 1 22 39 87 20 4 72 2 13 9 65 7 07 4 49 10 92 41 1 2 ? 42 80 48 00 5 62 3 24 0 85 8 47 6 09 31 12 41 1 33 31 08 80 6 52 4 34 2 15 9 87 7 69 51 33 4
1 1 3 X3 71 79 60 7 52 5 44 3 36 1 27 9 19 71 53 51 1 44 22 30 40 8 42 6 54 4 66 2 78 0 79 81 63 51 1 4 M4 72 91 20 9 42 7 64 5 96 4 18 2 30 01 83 51 1 55 23 62 01 0 32 8 74 7 16 5 58 3 90 22 03 51 1 5 ? 45 74 22 81 1 32 9 94 8 46 7 08 5 50 42 24 5
1 1 66 14 93 61 2 33 1 04 9 76 8 48 7 10 52 44 61 1 6 Y z6 65 54 41 3 23 2 15 1 06 9 98 8 70 72 64 61 1 77 16 15 21 4 23 3 35 2 37 1 39 0 40 92 84 61 1 7 X7 66 86 01 5 23 4 45 3 67 2 89 2 01 13 04 6
1 1 88 17 56 81 6 23 5 55 4 97 4 39 3 61 33 25 71 1 8 48 68 17 61 7 23 6 75 6 27 5 89 5 31 43 45 71 1 99 18 88 51 8 23 7 95 7 57 7 29 6 91 63 65 71 1 9 %9 69 49 31 9 23 9 05 8 97 8 79 8 61 83 85 7
1 2 00 10 10 0 12 0 24 0 26 0 28 0 20 0 32 04 06 81 2 0 40 60 8
9 2628
9 26498 2670 5 33387 2692 0 3364
9 2035 7 2713 9 3165 3391
6 2734 2 31 307 2067 6 2756 2985 3215 34441 2083 6 2777 8 3240 3471 3706 2099 2332 2565 2799 3032 3265 3498 37
0 2115 2350 2585 2820 3055 3290 3525 375 2131 2368 2605 2842 3079 3316 3552 37
2 1671 9 2148 2386 2625 2864 3102 3341 3580 383 1683 4 2164 2405 2645 2886 3126 3367 3607 38
4 1696 8 2181 2423 2665 2908 3150 3392 3635 385 1709 3 2197 2441 2686 2930 3174 3418 3662 396 1722 8 2214 2460 2706 2952 3198 3444 3690 39
9 1487 1735 3 2231 2478 2726 2974 3222 3470 3718 39—
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W C P
DIA 3/16I
‘A 5/16I
~8 ‘/16 ‘/2 ‘/16 5/8 ‘ 1/16 Y4 13/16 ~8 15/16 1
1 3 44 99 92 4 94 9 87 4 89 9 82 4 74 9 77 4 79 92 44 71 3 4 M5 50 0 62 5 85 0 97 6 10 1 32 6 45 1 67 6 70 12 75 71 3 56 00 1 42 6 75 2 17 7 40 2 82 8 15 3 47 8 80 42 95 81 3 5 X6 60 2 12 1 75 3 27 8 70 4 32 9 85 5 38 0 90 63 15
1 3 67 20 2 92 8 65 4 38 0 00 5 83 1 55 . 7 28 2 90 83 46 81 3 6 X7 70 3 62 9 65 5 58 1 40 7 33 3 2 j g l8 j I )1 03 661 3 78 30 4 43 0 55 6 68 2 70 8 83 4 96 1 ( I8 7 11 33 961 3 7 X8 90 5 23 1 55 7 88 4 01 0 32 3 6 66 2 98 9 21 54 16 9
1 3 89 50 5 93 2 45 8 98 5 41 1 93 8 46 4 89 1 31 74 471 3 8 ? +0 00 6 73 3 46 0 18 6 71 3 44 0 16 6 89 3 42 04 671 3 90 60 7 53 4 3 ,6 1 28 8 11 4 94 1 86 8 7Y j 62 24 971 3 9 f i1 20 8 23 5 36 2 48 9 41 6 54 3 67 0 69 7 72 45 17
1 4 01 80 9 03 6 36 3 59 0 81 8 14 5 37 2 69 9 82 75 481 4 0 Y j2 40 9 83 7 36 4 79 2 21 9 64 7 17 4 50 2 02 35 681 4 12 91 0 63 8 26 5 99 3 52 1 24 8 87 6 50 4 13 15 98
1 4 1 Y ’ z3 51 1 43 9 26 7 19 4 92 2 85 0 67 8 41 ) 6 33 46 28 F 8 4 11 2 24 0 26 8 29 6 32 4 35 2 48 0 40 8 53 66 491 4 2 ’ j4 71 3 04 1 26 9 49 7 72 5 95 4 18 2 41 0 63 86 791 4 35 31 3 74 2 27 0 69 9 12 7 55 5 98 4 41 2 84 1 .6 991 4 3 %5 91 4 54 3 27 1 80 0 52 9 15 7 78 6 41 5 04 37 20
1 4 46 51 5 34 4 27 3 00 1 93 0 75 9 58 8 41 7 24 67 401 4 4 %7 11 6 14 5 27 4 20 3 33 2 3f 1 39 0 41 9 44 87 701 4 57 71 7 04 6 27 5 40 4 73 3 96 3 19 2 42 1 65 08 001 4 5 %8 31 7 84 7 27 6 60 6 13 5 56 5 09 4 42 3 85 38 21
1 4 68 91 8 64 8 27 7 90 7 53 7 16 6 89 6 42 6 15 58 511 4 6 ~9 51 9 44 9 27 9 10 8 93 8 86 8 69 8 52 8 35 88 811 4 70 22 0 25 0 38 0 31 0 44 0 47 0 50 0 53 0 66 09 021 4 7 %0 82 1 05 1 38 1 51 1 84 2 07 2 30 2 63 2 86 39 32
1 4 81 42 1 85 2 38 2 81 3 24 3 77 4 10 4 63 5 16 59 62
1 4 8 Y j2 02 2 75 3 38 4 01 4 74 5 37 6 00 6 73 7 36 89 821 4 99 2 62 3 55 4 48 5 21 6 14 7 07 7 90 8 73 9 67 00 131 4 9 X3 22 4 35 5 48 6 51 7 64 8 77 3 71 0 84 1 97 30 43
1 5 03 92 5 25 6 48 7 71 9 05 0 38 1 61 2 94 4 27 50 63 IO01 5 0 %4 52 6 05 7 58 9 02 0 55 2 08 3 51 5 04 6 57 80 941 5 15 12 6 85 8 59 0 22 2 05 3 78 5 41 7 14 8 88 01 241 5 1 ? 45 82 7 75 9 69 1 52 3 45 5 38 7 31 9 25 1 18 31 44
1 5 26 42 8 56 0 69 2 82 4 95 7 08 9 22 1 35 3 4’ 8 51 741 5 2 47 02 9 46 1 79 4 02 6 45 8 79 1 12 3 45 5 88 82 05153 977 1302 162819532279260429303255 35813906423245584883szog153ti 983 1311163819662294262129493277360439324260458J 49155243154 989 1319164919792309263829683298362839584287461749475277154% 996 1328166019922324 265629883320365139834315464749795311155 10021336167120052339 267330073341367540094343467150125346155 4 10091345168120182354 269030263363369940354371470850445380
156 10151354169220312369270730463384372340614400473850765415156% 10221362170320442384272530653406374740874428 768 51095450157 102813711714 20577399 274230853428377141134456479951425184157% 10351380172520702415276031053450379541404485483051755519158 104113891736208324302777312434723819416645134860‘52075555158 4 10481397174720962446279531443494384341924542489152405590159 1055 1406175821092461281331643516386742194570492252745625159 4 10611415176921232476283031843538389242454599495353075661160 106814241780 21362492284832043560391642J2 4628498453405696160H 107514331791 21492508286632243582394142994657501553745732161 10811442180221632523288432443605396543264686504754075768161% 108814511814 21762539 290232643627399043534715507854415803
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W C P
.LL DIMENSIONS IN INCHES WEIGHTS IN POUND
J/4
1460146914781487
5/16
1 8 2 51 8 3 61 8 4 71 8 5 9
ZE2 1 9 05 5 52 2 0 35 7 12 2 1 75 8 62 2 3 16 0 2
% ‘3/16I I 15/16
I1
+
4 7 14 7 14 8 14 8 2
4 8 24 8 264 9 364 9 36
4 9 3m5 0 365 0 46
DIA ‘ / 2~
2 32029382956
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1095110211081 1 1 5
3285 36503305 36723325 36953346 37183366338734073428344934703491
4 0 14 0 34 0 64 0 84 1 14 1 34 1 64 1 9
G4 2 44 2 6
4380
-
G555
E55
1 6 41 6 4 41 6 51 6 5 t i
1 6 61 6 6 M1 6 7
1 1 2 21 1 2 91 1 3 61 1 4 3
p I4 9 6
1 5 0 51 5 1 41 5 2 4
1 5 3 31 5 4 21 5 5 1
3 7 6 33 7 8 63 8 0 9
3 8 3 23 8 5 53 8 7 81 6 4
1 6 7 %1 1 7 01 5 6 11 9 5 12 3 4 12 7 3 13 1 2 13 5 1 13 9 0 2 1 4 2 9 24 6 8 2 1 5 05 4 6 2 1 5
I1 7 75 7 09 6 23 5 57 4 71 4 05 3 29 2 53 17 11 4
1 6 8 %1 8 55 7 99 7 43 6 97 6 41 5 95 5 49 4 83 47 31 51 6 91 9 25 8 99 8 63 8 37 8 01 7 75 7 59 7 23 67 61 5
1 6 9 f i1 7 01 7 0 %1 7 11 7 1 %
1 7 21 7 2 %1 7 31 7 3 A
1 9 95 9 81 2 0 66 0 81 2 1 36 1 71 2 2 06 2 71 2 2 76 3 6
1 2 3 46 4 61 2 4 16 5 51 2 4 96 6 51 2 5 66 7 4
1 9 9 82 0 0 92 0 2 12 0 3 32 0 4 5
2 0 5 72 0 6 92 0 8 12 0 9 3T
3 9 77 ~ i2 4 1 18 1 32 4 2 68 3 02 4 4 08 4 62 4 5 48 6 3
2 4 6 88 8 02 4 8 38 9 72 4 9 79 1 32 5 1 29 3 0
2 5 2 69 4 72 5 4 19 6 4
3 1 9 63 2 1 53 2 3 43 2 5 33 2 7 2
3 2 9 13 3 1 03 3 3 03 3 4 9
3 3 6 83 3 8 8
3 5 9 69 9 54 0 1 94 0 4 34 0 6 64 0 9 0
G4 1 3 84 1 6 24 1 8 6
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4 7 91 5~5 65 6
~
5 75 85 8
=5 95 95 9
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5
m
4 4 24 4 44 4 74 4 9
4 5 24 5 54 5 74 6 0
4 6 34 6 54 6 84 7 1
4 1 34 7 64 7 94 8 2
4 8 24 8 54 8 84 9 0
4 9 34 9 64 9 95 0 2
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5 1 6
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5 25 25 25 3
5 35 35 45 4
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1 7 41 7 4 G
1 2 6 36 8 41 2 7 06 9 4
2 1 0 52 1 1 7
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1 7 6 ” -1 2 9 21 7 2 32 1 5 4 1 2 5 8 5 1 3 0 1 5 1 3 4 4 63 8 7 73 0 8
B 9 93 3 21 7 7 ” -3 0 77 4 31 7 86 1 40 5 04 8 59 2 13 5 71 7 7 ? 43 1 47 5 31 9 16 2 90 6 75 0 59 4 33 8 11 7 83 2 27 6 22 0 36 4 4 1 3 0 8 45 2 59 6 64 0 64 8 4m p
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1924 2406 2887 33681935 2418 2902 33861945 2431 2918 34041956 2444 2933 3422
1966 2458 2949 34411977 2471 2965 34591987 2484 2981 34771998 2497 2996 3496
1 4 7 51 4 8 21 4 9 01 4 9 8 5 9 9 3 1 6 4 9 2 1
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4 1 2
LengthU
Inches
22 %3
3 %44 %55 %
W B
W i t hq u a r ee a d sn de x a g o nu t s no u n de 0
2 . 3 82 . 7 13 . 0 53 . 3 9
3 . 7 34 . 0 64 . 4 04 . 7 4
5 . 0 75 . 4 15 . 7 56 . 0 9
6 . 4 26 . 7 67 . 1 07 . 4 3
7 . 7 78 . 1 18 . 4 48 . 7 8
9 . 1 2; . ; :
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0 . 4
0 . 71 . 01 . 4
1 . 7
1 . 3
%
6 . 1 16 . 7 17 . 4 78 . 2 3
8 . 9 99 . 7 5
1 0 . 51 1 . 3
1 2 . 01 2 . 81 3 . 51 4 . 3
26 . 67 . 3
; : ;9 . 6
2 0 . 4
2 1 . 12 1 . 72 2 . 52 3 . 3
2 4 . 0
2 4 . 82 5 . 52 6 . 3
2 7 . 02 8 . 63 0 . 13 1 . 6
33.134.636.237.7
3 9 . 2
1 6
Per Inch\dditional 3 . 0
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1 4 . 01 5 . 11 6 . 5
1 7 . 81 9 . 12 0 . 52 1 . 8
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2 8 . 62 9 . 93 1 . 33 2 . 6
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3 9 . 34 0 . 4: ; . ;
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4 5 . 84 7 . 14 8 . 5
4 9 . 8; ; . ;
5 7 : 9
6 0 . 66 3 . 36 6 . 06 8 . 7
7 1 . 37 4 . 07 6 . 7
7 9 . 48 2 .8 4 . 88 7 . 59 0 . 2
9 2 . 9
5 . 4
D i a m e t e r fo l t nn c h e
92 4 . 12 5 . 82 7 . 62 9 . 3
3 1 . 43 3 , 53 5 . 63 7 . 7
3 9 . 84 1 . 94 4 , 04 6 . 1
4 8 , 25 0 . 35 2 . 35 4 . 4
5 6 . 55 8 . 66 0 . 76 2 . 8
6 4 . 96 6 . 76 8 . 77 0 . 8
7 2 . 9
7 5 . 07 7 , 17 9 . 2
8 1 . 38 5 . 58 9 . 79 3 . 9
9 8 . 1\ : 2
1 1 0
1 1 51 1 91 2 3
1 2 71 3 11 3 51 4 01 4 4
1 4 8
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3 8 . 94 1 . 54 4 . 04 6 . 5
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6 1 . 26 4 . 26 7 . 27 0 . 2
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8 5 . 38 8 . 49 1 . 49 4 . 4
9 7 . 41 0 01 0 31 0 6
1 0 9
1 1 21 1 51 1 8
1 2 11 2 71 3 31 3 9
1 4 51 5 11 5 71 6 3
; ; :
1 8 2
1 8 81 9 42 0 02 0 62 1 2
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9 0 .9 4 .9 8 .
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1
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1 01 01 11 1
1 21 21 31 4
1 41 51 51 6
1 61 71 71 8
1 81 91 9 82 0
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2 12 22 2
2 32 42 52 6
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W O
S
1 Y 2
2
3
4
68
1 0
1 2
1 4
1 6
1 8
2 0
2 4
S
3
4
6
8
NOZZLESW i t hN S Ie l d i n ge c kl a n g en de i n f o r c i n ga
( T a b l eo ru i c ke f e r e n c e )
150
6
9
1 6
2 5
4 56 5
9 5
1 3 5
1 6 5
2 1 5
3 3 1
4 2 8
5 8 9
CLASS
300 600
11 1312 1525 4 04 0 0
7 02 01 1 07 51 4 58 52 2 06 52 8 51 53 7 09 56 1 03 57 0 82 4 5
1 1 3 18 1 5
900
1
2
4
7
1 52 6
3 7
5 5
7 7
9 6
1 3 7
1 6 9
3 0 4
NOZZLES
for Quick Reference)
1500
183
7
1
23
6
9
150
2 54 2
7 1
1 1 0
1 6 5
2 4 5
2 9 6
4 4 05 4 0
7 0 0
1 0 0 0
300
4 16 7
1 2 0
1 9 1
2 7 2
4 0 4
5 2 1
8 0 01 0 0 0
1 2 0 0
1 8 8 5
C
6
6 01 0 1
2 0 6
3 1 4
5 1 6
6 6 0
8 9 3
1 3 0 01 6 0 0
2 1 0 0
2 9 9 0
S C R E W E DO U P L I N G S
900
771 2
2 6
4 5
6 6
9 6
1 2 6
1 6 02 2 5
2 8 0
5 1 4
1500
11
3
6
1
1
34
5
9
% 1 2 3
3 0 0 0 b. 2 5. 4 4. 6 3. 1 9. 1.
6 0 0 0 b. 5 0. 0 0. 1 3. 3 8. 70 .
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414
WEIGHTS OF PACKINGP o u n d se ru b i co o t
S I Z EA S C H I GI N G A LI NN
C E R A M I CA R B O NC A R B O NA R B O NS T E E L T E E LL A S T
% 6 03 3 6 5
% 6 1 4 5
% 5 5 5 7 4
% 1 3 2
~ 8 6 2 .
x 5 0 2 4 4
x 9 4
1 4 2 9 7 .
1 7 1
l x 6 2 1l % 3 9 4 .
l % 6
2 4 1 7 7 .
3 3 7 5 3 33 % 4 .
4 3 6
T h ea t ao n d e n s e dr o mh ee c h n i c a li t e r a t u r ehS S t o n e
T h ee i g h t s fa r b o nt e e l ne r c e n t a g e ft h ee t a lt a i
S t e e l0 5 % ,o p p e r2 0 % ,l u m i n u m7 % ,o n eN i c k1
WEIGHTS OF INSULATIONP O U N D SE RU B I CO O T
C A L C I U MI L I C A T E 1 2
FOAMGLASS 9.0
M I N E R A LO O L 8 .
G L A S SI B E R 4 -
F O A M G L A S S 8 -
F o re c h a n i c a le s i g n fe s s e ld d0 % oh e s ee i g h th io
w e i g h t fe a l ,a c k e t i n gn dh eb s o r b e do i s t u r e .
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.
SPECIFIC GRAVITIES
METALS2°F. N-octane........................... 0,70fjrl Sulphordioxide...........................z.z50Aluminum............................. 2.70 Cyclopentane....................0.7501 Waterapor................................ ().fjzAntimony............................ 6.618 Methylcyclopentane.........07536
Barium..,,.,,..,,..,,.,,,,,,,,,,.,.,..,,.,78 Cyclohexane........,...........,0,7834 MISCELL~NENJSOLIDSBismuth.... ..........................9,781 Methylcyclohexane..........07740Boron..................................2.535 Benzene.............................0.8844 Asbestos.... “............................ 2B r a s s : 0. ,0 Z .. . . . . . . . . . . . . 8 , 6 0oulene..........,......,,.,.,,.......O.87l8 s p h a l t u.............................. ,
7 0. ,O Z .. . . . . . . . . . . . . 8 , 4 4 B o r a.....................,.. ,............. H6 0. ,O Z .. . . . . . . . . . . . . 83 6I Q U I D S2 ° .r i c ko m m......................... .5 0. ,O Z .. . . . . . . . . . . . . 82 0c e t i cc i d.......................... 1.06 Brick,fire.................................H
B r o n z e : 0. ,0 T ,. . . . . . . . . . . . . . . 87 8l c o h o l ,o m m e r c i a l. . . . . . . . . . . . . 08 3r i c ka r.............................. 2.o
Cadmium............................... S,648 A l c o h o l ,u r e........................ 0 . 7 9r i c kr e s s...................... 2,2C a l c i u m................................. 1 . 5 4~ ~ a. ” ” 0 ” 0 ” ” ” . . ” . o . . o~ ~j ~ ~ ~ ~ [~ ~ ~ ~ t ”C h r o m i u m.............................. 6 . 9 3................................. .
Cobalt.................................... 8.71 Bromine................................. 2 . 9 7e m e n; r t l a n d ( s e t ) : : l
Copper................................... 8.89 C a r b o l i cc i d , , . . . . . . . . . . , , . . . , . . . , . . . .. 9 6h a l. . . . . . , . . . , . . . . . . . . . . . . , , . .
Gold....................................... 19.3 C a r b o ni s u l p h i d e , . . . . . . . . . . . , . . . .. 2 6harcoal,,....,,...,.......,.......
Iridium................................. 22.42C o t t o n - s e e di l..................... 0 . 9 3o a ln t h r a c
...................... 1I r o nc a s t , . . . , , . . . . . . , . . . , . . .. 0 3 - 7 . 7 3t h e r ,u l p h u r i c................... 0.72 Coal,bituminous.................... 1.3
I r o nw r o u g h t, . , , . . , , . . ,. 8 0 - 7 , 9 0luoricacid ........................... 1.50 Concrete.................................. 2.2
Lead................................... 11.342 G a s o l i n e...............................0.70 Earth,dry................................. 1.2
Magnesium,., , . . , . . . , . . . . . . . . . . . . . . . ,. 7 4 1e r o s e n e............................... 0 . 8 0a r t he t , . . , , . . . , . . . . . . . . . . . .
M a n g a n e s e.............................. 7 , 3i n s e e di l........................... 0.94 Emery......................................4.0
M e r c u r y6 8 °, ). . . . . . . . . . . . . . . . 1 35 4 6i n e r a li l , . . , , , , , . . . . . . . . . . . . . . . . . . . . ,. 9 2l a s.......................................2
M o l y b d e n u m......................... 1 0 . 2u r i a t i cc i d , . . . . . . . . . . . . , . . , , . . , , . . . ,. 2 0r a n i t....................................2
Nickel......................................8.8 N a p h t h a................................0.76 Gypsum...................................2.4
P l a t i n u m............................. 2 1 , 3 7itricAcid ............................ 1.50 Ice ............................................0.9
P o t a s s i u m........................... 0 . 8 7 0l i v ei l............................... 0 . 9 2r olag, , . . , . . . , , . . . . . , . . , , . . , . .
S i l v e r...................... 1 0 . 4 2 - 1 0 . 5 3almoil ................................. 0,97 Limestone...............................2,6
S o d i u m..............................0 , 9 7 1 2e t r o l e u mi l........................ 0 . 8 2a r b l. . , , . . . . . . , . , . . . , . . . , . . . . .
Steel ....... .............. ... ...........7.85 P h o s p h o r i cc i d................... 1 . 7 8a s o n r.................................. 2
T a n t a l u m................................ 1 6 . 6apeoil .................................0.92 Mica.........................................2.8
T e l l u r i u m............................... 6 . 2 5ulphuricacid ....................... 1,84 Mortar..................................... 1.5Tin,.........,,..............,...,..,,....... . 2 9 w“ ” : ” + < ” . ; ” ” . ” ” ” . ” o . . o 0 0h o s p h o rc : . . ” . . ” ”T i t a n i u m.................................. 4 . 5u r p e n t i n ed d . , . . , , . . , , , . . ,........ 0 . 8 7l a s t eP a r....................... 1
T u n g s t e n... ................ 1 8 . 61 9 . 1inegar.................................. 1,08 Quartz......................................2,6
Uranium................................ 18.7 W a t e r. . . . . . , , . . . . . , , . . , , . . , , . . . 4 . . . . . . . . , .. 0 0a n dry . . . . . . . . . . . . , , . . . , . . . , .
V a n a d i u m................................ 5.6 W a t e r ,e a.............................. 1 . 0 3a n de, . . . , , , . . . , , . . , , . . ,
Z i n c............................ 7 . 0 4 - 7 . 1 6haleoil ............................... 0,92 Sandstone...............................2.3
GASSES32°F,Slate......................................... 2.8
HYDROCARBONS0/60°F. Soapstone.............................2.7Ethane...............................0.3564 Air............................................... 1.ON Sulphur...................................2.0Propane,,...,,,,..,,..,,,.,,05077,,.5O77‘cetY’ene~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~„920 ~~~bituminous.......................~.~N-butane...........................0.5844I s o - b u t a n e.........................0 . 5 6 3 1 ,
.......................................... .Taprock................................... 3.0
N - p e n t a n e.........................0 . 6 3 1 0
[ s o - p e n t a n e............ ..........0 . 6 2 4 7a r b o no n o x i d e. , , . , , . , , , , , . , , , , , . , , . ., % 7
N - h e x a n e...........................0 . 6 6 4 0 ., ,
. .3 - m e t h y 1 p e n t a n e. . . . . . . . . . . . . . . 06 6 8 92 ,- d i m e t h y l b u t a n e
, ,.
2 ,- d i m e t h y l b u t a n e. . . . . . . . . 06 6 6 4.......................... 0 . 6 8 8 2
2 - m e t h y l h e x a n e. . . . . . . . . . . . . . . . , 06 8 3 0 .
. .i. .
o x a
l - d i m e t h y l c y c l o p e n t a n e. 7 5 9 2x y g e n. , , . . , . , , , . . . . , , , , . . , , , , , . , , . . , , , , . . . , ,
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416
t
V S A H
I.D. Cylindrical S1-iELL/LIN.FT. 2:1 ELLIP. HEAD*of
Vessel w t . f w oCu.Ft.
Gal. Bbl. Waterin. Cu.Ft. Gal. Bbl. Watelb. lb.
12 0.8 5.9 0.14 49 0.1 0.98 0.02 8.114 1.1 8.0 0.19 67 0.2 1.55 0.04 12.916 1.4 10.4 0.25 87 0.3 2.32 0.06 19.318 1.8 13.2 0.31 110 0.4 3.30 0.08 27.520 2.2 16.3 0.39 136 0.6 4.53 0.11 37.822 2.6 19.7 0.47 165 0.8 6.03 0.14 50.324 3.1 23.5 0.56 196 1.0 7.83 0.19 65.326 3.7 27.6 0.66 230 1.3 9.96 0.24 83.1
28 4.3 32.0 0.76 267 1.7 12.44 0.30 103.830 4.9 36.7 0.87 306 2.0 15.30 0.36 127.732 5.6 41.8 0.99 349 2.5 18.57 0.44 155.034 6.3 47.2 1.12 394 3.0 22.27 0.53 185.936 7.1 52.9 1.26 441 3.5 26.47 0.63 220.138 7.9 58.9 1.40 492 4.2 31.09 0.74 259.540 8.7 65.3 1.55 545 4.8 36.27 0.86 302.642 9.6 72.0 1.71 601 5.6 41.98 1.00 350.448 12.6 94.0 2.24 784 8.4 62.67 1.49 523.054 15.9 119.0 2.83 993 11.9 89.23 2.12 744.6
60 19.6 146.9 3.50 1226 16.3 122.4 2.91 102166 23.8 177.7 4.23 1483 21.8 162.9 3.88 136072 28.3 211.5 5.04 1765 28.3 211.5 5.04 176578 33.2 248.2 5.91 2071 35.9 268.9 6.40 224484 38.5 287.9 6.85 2402 44.9 335.9 8.00 280290 44.2 330.5 7.87 2758 55,2 413.1 9.84 344796 50.3 376.0 8.95 3138 67.0 501.3 11.94 4184
102 56.7 424.4 1o.11 3542 80.3 601.4 14.32 5018108 63.6 475.9 11.33 3971 95.4 713.8 17.00 5957114 70.9 530.2 12.62 4425 112.2 839.5 20.00 7006
120 78.5 587.5 13.99 4903 130,9 979.2 23.31 8171126 86.6 647.7 15.42 5405 151.5 1134 27.00 9459132 95.0 710.9 16.93 5932 174.2 1303 31.03 1087138 103.9 777.0 18.50 6484 190.1 1489 35.46 1242144 113.1 846.0 20.14 7060 226.2 1692 40.29 1412
*vo]umewithinthe straightflangeisnot included
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771 I
V S A H
I . D .A S M E&D. HEAD* HEMIS.HEAD*of
Vessel , wt. of wt. ofi Cu.Ft. Gal. Bbl. Water Cu.Ft. G-d.i n .
13bl. Waterlb. lb.
12 ~ 0.08 0.58 0 . 0 1.83 0.26 1.96 0.05 16.34~~ i
0.12 0.94 0.02 7.83 0.42 3.11 0.07 25.95
16 0.19 1.45 0.03 12.08 0.62 4,64 0.11 38.7418 ~ 0.27 2.04 0.05 17.00 0.88 6.61 0.16 55.16
20 I 0.37 2.80 0.07 28.33 1.21 9.07 0.22 75.66
22 0.50 3.78 0.09 31.49 1.61 12.07 0.29 100.7
24 0.65 4.86 0.12 40.49 2.09 15.67 0.37 130.7
26 0.82 6.14 0.15 51.15 2.66 19.92 0.47 166.2
28 1.10 8.21 0.20 68.40 3.33 24.88 0.59 207.6
30 1.30 9.70 0.23 80.81 4.09 30.60 0.73 255.4
3’2 1.64 12.30 0.29 102.5 4.96 37.14 0.88 309.9
34 1.88 14.10 0.34 117.5 5.95 44.54 1.06 371.7
36 2.15 16.10 0.38 134.1 7.07 52.88 1.26 441.2
38 2.75 20.60 0.49 171.6 8.31 62.19 1.48 519.0
40 3.07 23.00 0.55 191.6 9.70 72.53 1.73 605.3
42 3.68 27.50 0.65 229.1 11.22 83.97 2.00 700.7
48 5.12 38.30 0.91 319.1 16.76 125.3 2.98 1046
54 7.30 54.601.30
454.923.86 178.5 4.25
1489
60 10.08 75.40 1.80 628.2 32.73 244.8 5.83 2043
66 13.54 101 2.41 843.9 43.56 325.8 7.76 2719
72 ] 17.65 132 3.14 1100 56.55 423.0 10.07 3530
78 22.32 167 3.98 1391 71.90 537.8 12.80 4488
84 28.47 213 5.07 1775 89.80 671.7 16.00 5606
90 35.56 266 6.33 2216 110.4 826.2 19.67 6895
96 42.51 318 7.57 2649 134.0 1003 23.87 8368
102 52.14 390 9.29 3249 160.8 1203 28.63 10037
108 60.96 456 10.86 3799 190.9 1428 34.00 11914
114 73.66 551 13.12 4590 224.5 1679 39.98 14012120 84.35 631 15.02 5257 261.8 1958 46.63 16343
126 97.32 728 17.33 6065 303.1 2267 53.98 18919
132 108.7 813 19.36 6773 348.5 2607 62.06 21752
138 127.0 950 22.62 7915 398.2 2978 70.91 24856
144 147.9 1106 26.33 9214 452.4 3384 80.57 28241
*VO1umewithin the s flange k not included
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418
PARTIALVOLUMESIN HORIZONTALCYLINDERS
tt o
‘E
Partialvolumesof horizontalcylindeequalstotal volumex coefficient
(found from tablebelow)
3“ EXAMPLE
HORIZONTALCYLINDERD= 10 ft., Oin. H= 2.75 ft. L=60 ft., Oin.TOTALVOLUME:0.7854x D2x L Find the partialvolumeof
the cylindricalshell
Totalvolume: 0.7854x 102x60= 4712.4cu. ft.
Coefficientfrom table:H/D= 2.75/10= .275
Refer to the first two figures(.27) in the column headed (HID) in the tablebelow. Proceed to the right until the coefficientis found under the columnheaded (5) which is the third digit. The coefficient of 0.275 is found to be.223507
Total volumex coefficient= partial volume4712.4X .223507= 1053.25CU.ft.cu. ft. multipliedby 7.480519 = U. S. Galloncu. ft. multipliedby 28.317016 = Liter
COEFFICIENTS
H/D O 1 2 3 4 5 6 7 8 9
.001212 .00144
.004077 .00442
.007886 .0083
.012432 .0129
.017593 .0181
.00
.04
.000ooo
.001692
.004773
.00s742
.013417
.018692
.o~4496
.030772
.037478
.044579
.052044
.0598 50
.067972
.076393
.085094
.094061
.000151
.oo~223
.005503
.009625
.014427
.019813,025715.032081.038867.046043
.053579
.061449
.069633
.078112
.086866
.095884
.105147
.114646
.124364
.134292
.144419
.000429
.002800
.006267
.010534
.015459
.000600
.022115 .022703
.028208 .028842
.034747 .035423
.041694 .O4241O
.049017 .049768
.023296 .0238
.029481 .0301
.036104 .0367
.043129 .0438
.050524 .0512
.05
.06
.07
.08
.09
.0203g2
.026331
.032740
.039569
.046782
.02095.5
.026952
.033405
.040273
.047523
.058262 .0590
.066323 .0671
.074686 .0755
.10 ,054351.062253.070469.078975.087756
.096799
.1060.s7
.115607
.12.5347
.135296
.145443
.155779
.166292
.055126
.063062
.071307
.079841
.088650
.055905
.063872
.072147
.080709
.089545.083332 .0842.092246 .0931
.099560 .100486
.108920 .109869
.118506 .119477
.12831O .129302
.138320 .139332
.101414 .1023
.110820 .1117
.120450 .1214
.130296 .1312
.140345 .1413
.15 .098638.107973.1.17538.127321
.16
.17.103275,112728
.122403
.132290
.104211
.113686.18.19
.123382
.133291
.143398
.153697
.164176
.137310
.148524 .149554
.1.58915 .159963,169480 .170546.180212 .181294.191102 .192200
.20 ,lh~~ig.152659.163120
.146468
.156822
.167353
.178053
.188912
.147494
.157867’21,,22
.154737
.165233 .168416179131190007
.23
.24.173753.1845.50
.174825
.l&5639.175900.186729
.176976
.187820
.25 .19.5501 .196604 .197709 .198814 .199922 .’201031 .202141 .203253
.30 .2.5’2315 .253483 .254652 .255822 ,256992 ,25fj165 .259338 ,260512
.31.261687 .2628
.264039 .265218 .266397 ,267578 .z68760 ,269942 .271126 .272310 .273495 .2746
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419
PARTIAL VOLUMES IN HORIZONTAL CYLINDERS COEFFICIENTS (Cont.)
H/’D O 1 4 5 6 7 8 9
.285401 .28659/3
7
.2~()&?7 .2S1820
.
.283013 .284207
.’294995 .’296198
.307068 .3082S0
.277058
.WvW2
.301O2I.297403 .2 3M5(i5.309492 .310705
3~1660 .3~~8~l
.333905 .33.5134
.346220 .347455.358599 .359840
.371036 .372282
.383526 ,384778
.396063 ,397320
.MM645 .409904
.421261 .42’2.52.5
.433911 .435178
,319219 .320439.3314.51 .332678
.343751 .3449%5.3.56119 .357359
.308545 .3697 )0
,:]8102+ .382274.393.553 .394S08.406125 .407:384.418736 .+19998.43137s .4:12645
.444050 .445318
.%)6741 .458012
.469453 .470725
.482176 .483449
.494906 .496179
,507640 ..508913,5~o~69 .,521642
..533090 .534362,345799 .547068,558486 .559754
.571154 .572418
.583789 .585051
.596392 .597650
.608956 .610210,~~147(-j ,622725
.35 .311918
.36 .3YI104
.37 .336363.38 .348690
.39 .:16108’2
.313134,:3~532~
.349926
.362325
.:{74778
.3872X?
.399834,41~42fj,4~,5(j5~
.446587 .447S57
.459283 .460554
.4719 97 .473269
.484722 .4S5995
.497452 .498726
.437712
.450394
.463096
.475814
.488542
.,510186 .5114.58
..522914 .524186.50 .mOOOo.51
.501274
.
.
.
.
.53.5633 .536904
.548337 .549606
.561021 .562288
..55 .563555
.56 .57621257 .588835.58 .601423.59 .61397(I
.(WI,61
.::
.Iii
.638918
.(351310 6.
.i94,jl i
.702.597
.714599
.630210,64264].6 5501.5.667322.679561
.691720
.703802
.71.5793
.727690
.739488
.7.511s 1
.7627X+
.~74’21i
.~%547J9674?
. -. . -.706207
.716987 .718180
.728874 .730058
.740662 .7418 :)5
;,~j:]$; .753.506,763909 ,76.50.59.77.535.5 ,776493.7 Ui(ii4 ,7S779,S.797859 ,708969
1
.63.518 )
.647598
.659946
.672226
.684434
.696562
.708610
.768.502
.66
.fii
.(;s
.(icl .74417X
.7.5.%+27
.76735677876.5li900-K\.8011x6
.70
.71,;~
.Tii
.76
.77
.7X,79
.
.847341
,S57622
.867710.877.597
.887272
.896725
.905939
.914906
.923607,93~0~8
.940150
.947956
.9.5.5421
.962522
.805600
.X16537
.x~731~
.8:17934
.84X37R
.858639
.868708.87857.5
.888227
.897657
.906847
. -)15788
.9~4~(jl,Q~~~$~.940946
.948717
.95614S
.963211
yoml.817622,s~~387.S38987.84941:1
.X5965.5
.869704
.X8918(I
.8985S6
. )07754
.916668
.925314
.933677
. )41738
.’W7X(XI
.X18706.S08XW4.819788 .R20N;9.S:30.520 .831584.841(R5 .842133,%51476 .8.52506
.861680 .H62690
.871690 .872679.881494 ,882462
.891080 .892027
.900440 .901362
.9095.57 .910455
.918419 ,919291
.927089 .927853
.935313 .936128
.943312 .944095
.950983 .951732
.958306 .959019
. %5253 .965927
.X11(-M .812180
.821947 .%23024
.832647 .8:~~i08
.X43178 .844221
.%5:{532 .%54557
.863698 .86470’4
.873667 .874653.883428 .884393
.892971 .893913
. 302283 .903201
.91135o .912244
.920159 .921025
.928693 .929531
.936938 .937747
.944874 .945649
.952477 .953218
.959727 .960431
.966.595 .967260
.813271 .814361.825175.835824.846303.856602
.866709
.876618.886314
.895789
.90502 3
.914021
.922749
.931198
.939352
.947190
.954690
.961829
.968576
.80
.81.82
.x3
.x4
.949476
.956871, -363896
.90
.91
.92
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420
PARTIAL VOLUMES IN HORIZONTAL CYLINDERS COEFFICIENTS (cont.)
H / D )2 3 4 5 6 7 8 9
, 13 .96922S . l(} )Kifi . )70.51 ) .9711,5X .971792 ,972422 .973048 .973669 .974285 .9748. -)4 .97.5.504 .976106 . )76704 .977’297 .9778%5 .978467 .979045 .979618 .980187 .9807
.95 . )s1:{0s .wlw ) . )82407 ,982 )48 ,9S:34S.5 .98401.5 .984541 .985060 .985573 .98608
.9(; ,9s6.7%3 .r)xiotu) .Wii.ww , )XS().YI.WM530 .Wmol .989466.989924 .990375 .990%
. )7 .99I‘2.5X. ) )1(}90 .9 )’2114. )w2,5:{().992939 . 3 )3340 .993733.994119 .994497 .9949
.98 .{} ).5~~~. ) )5,579 .995923 .9 )6257 . )96581 .996896 .997?00.997493 .997777 .9980
.99 . )98:30s. ) W.5.5.5 )98788 . KX)O(M. ?99212.9 39400 .999571.999721 .999849 .9991.00 I . 0 0 0 0 ( M )
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P A R T I A LO L U M E S NO R I Z O N T A LY L I N D E R
( p e r c e n t a g ee l a t i o n fi a m e t e ro l u m e
421
L *
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423
P A R T I A LO L U M E SNELLIPSOIDALHEADSA NPHERES
COEFFICIENTS (Cont.)
H/D O 1 2 3 4 5 6 7 8 9
, .15625(3.26 .167648.27 .179334.28 .191’296.29 .203<522
.157376
.1688041.5X5(X3
.16 I W3
.1s1705J937Z(),~0599~
.218526
.~:]1289
.244280
.257483
.270889
.284484
.298256
.,17~~~9
.184086
.19615,5
.2084s4
.161912 .163054 .164198 .165345 .166495
.1734.56 .174626 .17.5799 .176974 .1781.53
.18.5281 .186479 .187679 .188S82 .190088
.197377 .198601 .199827 .201056 .20228S
.2097:30 .210979 .’212231 .21348.5 .214741
.
.31 .228718
.32 .2416CA
.33 .254826,:{4 .~fj~lgz
.
.
.
.
.
19792.232578
. . . . .0 . . . ,. . . . .. . . f .. . . . .
.
.258815
.272240
.285853
.299643
.313597
.327703
.341950
.356325
.370817
.395413
.400102
.414870
.35 .281750
.36 .295488.283116.296871.310793.324870.339090
.287224
.201031
.31504)1
.329122
.343382
.288597 .289972 .291348 .292727 .294106
.302421 .303812 .305205 .306600 .307996
.316406 .317813 .319222 .320632 .322043
.330542 .331963 .333386 .334810 .336235
.344815 .346250 .347685 .349122 .350561
.37 .309394<38 .323456.39 .337662
.312194
.326286
.340519
.354882
.369363
.383949
.398629
.413390
.40 .352000
.41 .366458
.42 .381024
.43 .395686
.44 .410432
.353441
.36791O
.382486
.397157
.411911
.357769
.372272
.386878
.401575
.416351
.359215 .3fXM61 .362109 :363557 .365007
.373728 .375185 .376644 .378103 .379563
.388344 .389810 .391278 .392746 .394216
.403049 .404524 .40f3000 .407477 .408954
.417833 .419315 .420798 .422281 .423765
.
.
.
.
.
.426735
.441619
.456.549
.471514
.486501
.428221
.443110
.458044
.473012
.488001
.429708
.444601
.459539
.474510
.489501
.431195 .432682 .434170 ,435659 .437148 .438638
.446093 .447586 .449079 .450572 .452066 .453560
.461035 .462531 .464028 .465524 .467021 .468519
.476008 .477507 .479005 .480504 .482003 .483503
.491000 .492500 .494000 .495500 .4970W3 .498500
.503000
.517997.504500.519496.534476.549428.564341
.506000
.520995
.535972
.550921
.565830
.507500 .509000 .510499 .511999 .513499
.522493 .523992 .525490 .526988 .528486
.537469 .538965 .540461 .541956 .543451
.552414 .553907 .555399 .556890 .558381
.567318 .568805 .570292 .571779 .573265
.50 .500000
.51 .514998
.52 .529984
.53 .544946
.54 .559872
.501500
.516497
.531481
.546440
.561362
.532979
.547934
.562852
.577719
.592523
.607254
.621897.636443
.650878
.665190
.679368
.693400
.707273
.720976
.734497
.747823
.760943
.773843
.786515
.798944
.811118
.823026
.834655
.55 .574750
.56 .58956S
.57 .604314
.58 .618976.59 .633542
.579202
.594000
.608722
.623356
.637891
.580685
.595476
.610190
.624815
.639339
.582167 .583649 .5S5130 ..586610 .588089
.596951 .598425 .599898 .601371 .602843
.611656 .613122 .614587 .616051 .617514
.626272 .627728 .629183 .630637 .632090.640785 .642231 .643675 .645118 .646559
.576235
.591046
.605784
.620437
.634993
.60 .648000
.61 .662338
.62 .676544
.63 .690606
.64 .704512
.649439
.66376.5
.677957
.692~4
.705894
.652315
.666614
.680778
.694795
.708652
.653750 .655185 .656618 .658050 .659481 .660910
.668037 .669458 .670878 .672297 .673714 .675130
.682187 .683594 .684999 .686403 .687806 .689207
.696188 .697579 .698969 .700357 .701744 .703129
.710028 .711403 .712776 .714147 .715,516 .716884
.723695 .725052 .726407 .727760 ,729111 .730461
.737178 .738516 .739851 .741185 .742517 .743846
.750464 .751781 .753096 ,754410 .755720 .757029
.763541 .764837 .766130 ,767422 .768711 ,769997
.776396 .777669 778940 .780208 .781474
.
.
.
.
.70 .784000
.71 796478
.72 .808704
.73 .820666
.74 .83235’2
.787769
.800173,812321
.824201
.835802
.78.5259
.797712
.809912
.821847
.833505
.75 .843750
.76 .854848
.77 .865634
.78 .876096
.79 .886222
.844873
.85.594r
.866695
.877124
.887216
.845994
.857031
.867753
.878148
.88S206
.
.
.
.
.
.848226 .849337 .850446 .851551 .852653 .853752
.859201 .860281 .861358 .862432 .863502 .864570
.869858 .870906 .871951 .872992 .874030 .875065
.880187 .881202 .882213 .883220 .884224 ,885225
.890176 .891155 .892131 .893104 .894073 .895038
.898864
.908171
.917103
.925648
.933793
.899811 .900755 .901695 .902631 .903564 .90449:1
.909082 .909988 .910891 .911790 .912685 .913576
.917976 .918844 .919708 .920568 .921425 .922277
.926481 .927309 .928134 ,928954 .929771 .930584
.934585 .935373 .936157 .9369:36 .93771’2 .938483
.80 .896000
.81 .905418
.8z .914464
.83 .923126
.84 .931392
.896958
.906340
.915348
.923971
.93~19f3
.897913
.907257
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424
PARTIALVOLUMESN ELLIPSOIDALHEADSANDSPHERESCOEFFICIENTSCont.)
H/D O 1 2 3 4 5 6 7 8 9
. . . 1. , . , k l: ]i (j - . ) -l l, -)O1 . )4 . -, j: j. l . l .l ;f )( j: l
.S(} . . . . . . . i ( . .
\ . . . . .{ i . , , . .
. , . . . , , , . ., )(j(j:](j~ . )(jtj%li . . S . . . . 1
, 9 . . . , + , 1 , . 1ti,j .
. , 1 . . . J7 J,53J . )S()()17 . )S0477 . )S0 ):11 . )X1:{S,q~ , )~I$J24 ,OS~~(}~\ ,9~yyj7 .9%{126 . )s35.70 .9S:N69 ,WLHw . )s47 )1 .9S3L94 . )%359, ):; . )S5986 .9X6374 .986757 .9s71 ;\.; .9s7507 . )S7S74 ,f)SS2:3[i.{)8,WJ9:19%S94.j .9S920I
,94 , )H96:{2 .98996S .q~om)~ .99062 3 .9 W943 .9 )1’2.5S.091.567 . XI1871 .992169 .992462
,gj ,J)9~750 .9 )3032 . )93:;09 .993.581 . ) );s47 ,~\)4107 ,f)~~~(j~ .994(jlj . 194S,56 .9 ).50 )
.{)6 .9 ).5:VZ3 .~q.5.5.56 . )9.5778 ,<)~.50{)4 ,~)f)(j~ofi , ) )ti~11 .9 )(X311. IWLX(),5 )96994 .997177
.{)7 .997354 .997.526 .99769z .997SS2 .9 )S007 . ) )S1.56 .998:300 . ) )S4:17 .WXWIX).Wl lfi )
.q~ . -)9s816 .998931 . )99040 .9{19143 . ) )9240 .9w:J32 .999417 .999497 .9 W.J71 .999(L
.99 .999702 . J9W’5S . )99809 .WXW54 . NW89’2 .999925 .999952 , 10 ) )73.WW9N3 .9999971,001 ,()()(XM)O
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425
A S( I nq u a r ee e t )
* m er e a ftraightlangesisnot i n c l u d e d nhi g u rt ha
O u t s i d ey l i n d r i c a l : 1S M E We m iFD i a m e t e rh e l ler E l l i p s o i d a ll a n g e dn dh e r i cH
of Vessel Lineal Foot H e a d *i s h e de a de aD i n c h e sn- x D) . 0 9 x2 )0 . 9 1X D 2 )5 7 0 820 .D
1 2. 1 4. 0 9. 9 2.
1 4. 6 6. 4 8. 2 5.
1 6. 1 9. 9 4. 6 4.
1 8. 7 1. 4 5. 0 7.
2 01 33 . 0 2. 5 6.
2 2. 7 6. 6 6. 1 0.
2 4. 2 8. 3 6. 6 8.
2 6. 8 1. 1 2. 3 2.
2 8. 3 2. 9 2. 0 0.
3 0. 8 5. 8 1. 7 6.
3 2. 3 7. 7 6. 5 31 .
3 4. 9 0. 7 5. 3 92 .
3 6. 4 3. 8 28 . 2 94 .
3 8. 9 40 . 9 3. 2 15 .
4 00 . 4 72 . 1 10 . 2 07 .
4 21 . 0 03 . 3 51 . 2 59 .
4 82 . 5 77 . 4 74 . 7 05 .
5 44 . 1 42 . 0 98 . 6 01 .
6 05 . 7 17 . 3 03 . 6 09 .
6 67 . 2 83 . 1 07 . 8 07 .
7 28 . 8 59 . 2 03 . 0 06 .
7 80 . 4 26 . 0 08 . 8 56 .
8 41 . 9 93 . 4 05 . 0 06 .
9 03 . 5 61 . 2 01 . 6 08 .
9 65 . 2 09 . 8 08 . 9 00 0 .
1 0 26 . 7 08 . 8 06 . 2 51 3 .
1 0 88 . 2 78 . 2 54 . 3 52 7 .
1 1 49 . 8 58 . 2 53 . 0 04 1 .
1 2 01 . 5 00 9 . 0 02 . 0 05 7 .
1 2 62 . 9 9~ ( ) . 1 10 0 . 8 57 3 .
1 3 24 . 5 63 2 . 0 01 1 . 5 09 0 .
1 3 86 . 2 04 4 . 0 02 1 . 5 00 7 . 0
1 4 47 . 7 05 7 . 0 03 2 . 2 02 6 . 1
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D I
W I T HI L L I M E T E RQ U I V A L E N T S
D e c i m a li ” i -e c i m a lilli-Decimal
Milli-
meterDecimal
Mm m
g 9A . 7 . 1 . i
: 1 . 7 . 1
; ;
.
2 .
2
8 . 1 .
9 1 2
. 3 . I 9 . 1 . 2
. 4 . 11 . 1 . 2
. 5 . 1 ; 1 . 2
6 ~ 1 1 1 2
D A F
INCHES
In. o I 2 3 4 5 6 7 8 9 10 1
0 .0000 . . . . . . . . . .. . . . . . . . . . ;. . . . . . , , . .
. . . . . . . . . . .
X . . . . . . . . . . .
. , . . . . . . . .
. . . . . . . . . . .
. . . . . . . . . .
~ . . . . . . . . . . .
. . . . . . , . . . .
~ . . . . . . , . . . .
. , . . . . . . . ,
. . . . . . . . . . .1 . . . . , . . . . . .
. . . . . . . . . . .
. . . . . . . . . , .
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42
METRIC SYSTEMOF MEASUREMENT
This systemhasthe advantagethatit isa coherentsystem.Eachquantityhasonlyoneunitandallbaseunitsarerelatedtoeachother.Thefractionsandmultiplesoftheunits
are made in the decimal system.
U O M M
LengthAreaVolumeWeight/masslTimeTemperature
unit
meter
meter2
meter 3
gram
second
degree Celsius
symbol equivalent ofm 39.37 in
1.196 sq.yard
1.310 cu.yard
0.035 Oz
second
O“C = 32°F100”C = + 212°F
MUL~PLES AND FRACTIONSOF UNITS
S y m b o l
mcdD
hkM
prefix I Unit Multiplied by I N a
m i k r om i n ic e n t id e c id e k a
h e k t ok i l om e g a
] ( ) . 6
1 0 . 3
1 0 . 2
1 0 - 1
1 0
1 0 21 0 3
1 0 6
m i l lt h o u sh u n dt et
h u nt h o um i l
EXAMPLE:Unitof weightis gram; 1000gramis onekilogram,1 kg
1,000m= 1kilometer,km
MEASURESOF LENGTHUNIT: METER, m
z
I*1 decimeter, dm = O.lm
Z ~ 1 centimeter, cm = 0.01 mgs~ ~ 1millimeter, mm = 0.001 m
*not used in practice
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428
METRIC SYSTEM OF MEASUREMENT
TLJ
1, 0,000m2 = I < ~
= I
= 1 a *
MEASURESOF AREAUNIT:SQUAREMETER,m2
2 *I sq. decimeter, dm2 = 0.01m2or ~ 1 sq. centimeter, cm2 = 0.0001m2~ -J 1 sq. millimeter, mm2 = 0.000,001m2~ LL o i nr a c t i c e
MEASURES OF VOLUME
UNIT: CUBIC METER. m3
1 hectoliter, hl = O.lm~
1 liter, 1 = 0.001m3cu. centimeter = 0.000,001m3
cu. millimeter = 0.000,000,001m3
1 g= 1 t t G
100,000 g = 1 quintal, q I
,000 g = 1 kilogram, kg~~
10 g = 1 dekagram, dg ~ ~
1
MEASURES OF WEIGHT
UNIT: GRAM, gE
L
o ~ centigram, cg = 0.01 gG ~~ -J milligram, mg = 0.001 g L
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42
M S O M
M E A S U R E S FE N G T H
k md m m mm
1 km 1
~ &
l m
1 c m0 . 50 - 20 - 11 04 107
1 m m0 - 60 - 30 - 20 - 11 0
I p .0 - 90 - 60 - 50 - 40 -1
1 m p 1 0 -
MEASURESOF AREA
k m 2 aa m
1 k m ’1 0 20 40 60 0 1
1 ha 1 0 - 21 0 20 40
0010l a0 - 410-’ 1 1 0 20 0
1 m 20 - 60 . 41 0 - 21 0 0 4
1 d m z0 - 80 - 60 - 41 0 - 2102 . 1
1 c m z0 - 1 00 - 80 . 6( ) - 40 -1
1 m m 20 - 1 20-10 1 0 - 80 - 60 -0 -
M E A S U R E S FO L U M E
m 3 ld m 3m m
1 m 31 00 3( 3 30 0
1 hl 10-1 1 1 0 2( 3 20 0
1 10 - 30 - 21 1 1 0 0
1 d m s0 - 30 - 21 1 ( 3 0
1 c m s0 - 60 - 50 . 30 - 31 0
1 m m J0 - 90 - 80 - 60 - 60 -
MEASURESOF WEIGHT
t ~ kg dg g Cg mg
It 1 10 103 105 106 108 109
lq 10-1 1 102 104 105 107 108
1kg 10-3 10-2 1 102 103 105 1061dg 10-5 10.4 10-2 1 10 103 104lg 10-6 10-5 10-3 10-1 1 102 103
1 Cg 10-8 10-7 10-5 10-3 10-’2 1 101 mg 10-9 10-8 10-6 10-4 10-3 10-1 1
EXAMPLECALCULATION
Weight of the water in a cylindrical vessel of 2,000 mm inside diameter and
10,000 mm length: 3.1416 x 1,0002 x 10,000 = 31,416,000,000 mm3
31,416 liter, 1
31.416 cu. meter, m
(The weight of one liter of pure water at the maximum 31416 kilogram, kg
density (4”C) equals one kilogram.)
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430
METRIC SYSTEM OF MEASUREMENT
RECOMMENDEDRESSUREVESSELDIAMETERS
Diameter Diameterin Diameter Diameterinin inches millimeters in inches millimeters
24-30 630 66-72 1,600
36 800 78-90 2,000
42-48 1,000 96-120 2,500
54-60 1,250 126-156 3,150
RECOMMENDEDANKDIAMETERS,
Diameters Diameters Diameters Diametersin API feet in meters in API feet in meters
10 3.15 70-80 20.00
15 4.00 90-100 25.00
20 5.00 120 31.5025 6.30 140-163 40.00
30 8.00 180-200 50.0035-40 10.00 220-240 63.0045-50 12.50 260-300 80.00
60 16.00
The recommendeddiametersare basedon a geometricprogression,calledRenarSeries(R1O)of PreferredNumbers.*
Dimensionsondrawingsshallbe expressedinmillimeters.Thesymbolformillimeters,mm (nop e r i o d )e e do t eh o w n nh er a w i n g s .o w e v e ho l l
s h a l l eh o w n nh ea r a w i n g s :L LI M E N S I O N SRM I L L I M
D i m e n s i o n sb o v ed i g i t s ni l l i m e t e r sa y b ex p r e s s e dm e t e r s (1
Scales @Metric Drawings: enlarging the object, 2, 5, 10, 20 times reducing the
object in proportion of 1:2.5, 1:5, 1:10, 1:20, 1:50, 1:100, 1:200, 1:500, 1:100
*Reference: M a k i n g tith Metric, The National Board of Boiler and Pressure
Vessel Inspectors.
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2
i
I
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II
I
t
I
II
I
I
I
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I
I
I
I
I
I
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I0
‘“T“
r
4
m
A
G
c
i
I
Occnm
me
F
0
0
0
0
0
0
0
0
0
0
r
wew@rmm
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————
I
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I
.
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441
CONVERSION TABLE – DEGREE
D E G R E E S OA D I A N S
1 DEGREE = + = 0.01745 RADIANS
1234
56789
[011121314
1516171819
2021222324
2526272829
3031323334
3536373839
4041424344
454647
4849
50
—
0.01745330.03490660.05235990,0698132
0.08726650.10471980.12217300.1396263
0 . 2 0 9 4 3 9 50 , 2 2 6 8 9 2 80 . 2 4 4 3 4 6 1
0 . 2 6 1 7 9 40 . 2 7 9 2 S 70 . 2 9 6 7 0 6 00,31415930,3316126
0.34906590.366S1910.38397240.40142570.4188790
0.43633230.45378560.47123890.48869220.50614S5
0.52359880.54105210.55850540.57595870.5934119
0.61086520,62831850.64577180,66322510.6806784
0.69813170.715S8500,73303830.75049160,7679449
0,78539820.80285150.8203047
0,83775800.8552113
0.87266460.89011790.90757120.92502450,9424778
0.95993.097738440.99483771.01229
—
0
i2;3;4
;5;6575859
7071727374
7576777879
8081828384
8586878889
9091929394
9596979899
0001020304
050607
08’09
‘lo
—
D e w e e s
120°121122[23[24
125[26127128129
130131132133134
135136137138139
140141142143144
145146147148149
150151
1521s3154
155156157158159
160161162163164
165166167
168169
170171172173174
175176177178179
180
—
—
o1234
56789
—
M i n u t ee c
~1234
56789
—
0
0
0 ,
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442
C T – D
R A D I A N S OE G R E E S
1 R A D I A N~ = 5 7 . 2 9 5 7 8E G R E E
R a d i a n senthsTen-
iiundrcdths Thousandths t
1 ’ 5 ’ 6 o ~ ’ j O0 0 “.
2 114035 ’29“.6 11027‘33“. O I 0 8’41”.3 00 6‘52”, 5 00 0’41“3 17105314“.4 1701‘19“. 4 1043Q7“.9
22901039“.2O010‘ 8 1
4 6 1 f
5 2 I 1
6 3 O
7
8 1I 8 2 1
9 O
E X A M P L E S
1 .h a n g e7 °6 ’4 ” oa d i a
S o l u t i o n :r o ma b l e np p o s i ta
8 7 01 . 5 1 8 4 3 5 4a d i a
26’ = 0 . 0 0 7 5 6 3 1a d i a
3 4 ”0 . 0 0 0 1 6 4 8a d i a
~ 7 06 s4 7 ’1 . 5 2 6 1 6 4 3a d i a
2 .h a n g e. 5 2 6 2a d i a n s oe g r e e
S o l u t i o n :r o ma b l eb o v e
1 r a d i a n5 7 074 - 8 t
0 . 52 8 °82 . 4
0 . 0 21 05 . 3
0 . 0 0 60 °07 . 6
0 . 0 0 0 20 01 . 3
1 . 5 2 6 28 6 °32 1 . 4
= 8 7 061 . 4
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443
CONVERSION TABLE – DEGREE
MINUTESANDSECONDSTO DECIMALSOF A DECREETODECIMALSOF A DEGREE MINUTESANDSECONDS
, 0 o 0 ‘ “ o ‘ “
o 0 o’ o“ 30’ 0“1 1 028 001 o’ 4“ 51 30’ 36”2 0333 2 056 0023
o’ 7“ 52 31’ 12”0500 3 083 003 o’ 11”
453
066731’ 48”
4 111 004 o’ 14”5 0 5 0 0.005
32’ 24”O’ 18” 0.;} 33’ 0“
6 67 78 8
250 00913 0.1667 1; 0 0.00 o’ o“ O.:\ 36’ 0“
3’ o“ 39’ 0“
o% 6’ 0“ 0.%
0.i: 9’ 0“ 0.% 45’ 0“26 4333 26 722 16 9’ 36” 76 45’ 36”27 4500 27 750 17 10’ 12” 77 46’ 12”28 4667 28 778 18 10’ 48” 78 46’ 48”29 4833 29 80630 30
11’ 24” 47’ 24”0.5000 0.00833 o.% 12’ 0“ O.;’b 4.8’ O“
31 5167 31 861 21 12’ 36” 81 48’ 36”32 5333 32 889 22 13’ 12” 82 49’ 12”33 5500 33 917 23 13’ 48” 83 49’ 48”34 5667 34 94435
14’ 24”35
50’ 24”0.5833 0.00972 o% 15’ 0“ 0.;: 51’ o“
36 6000 36 01000 26 15’ 36” 8637 6167 37
51’ 36”028 27 16’ 12” 87 52’ 12”
38 6333 38 056 28 16’ 48” 88 52’ 48”6500 083
::17’ 24”
0.6667 :; 0.01111 o% 18’ O“ 0.%41 6833 41
54’ o“139 31 18’ 36” 91 54’ 36”
42 7000 42 167 32 19’ 12” 9243 7167 43
55’ 12194 33 19’ 48” 93 55’ 48”
44 7333 44 22245
20’ 24”45 0.:: 21’ o“
56’ 24”0.7500 0.01250 0.32 57’ o“
46 7667 46 278 36 21’ 36” 96 57’ 36”47 7833 47 306 37 22’ 12” 9748 8000 48 333
58’ 1238 22’ 48” 98
4958’ 48”
8167 49 36150
23’ 24”50 0.;: 24’ O“
59’ 24”0.8333 0.01389 1.% 60’ O
51 8500 51 417 41 24’ 36” 10 66’ O52 8667 52 444 42 25’ 12” 20 72’ O53 8833 53 472 43 25’ 48” 30 78’ O54 9000 50055
26’ 24”0.9167 :: 0.1: 27’ O“
84’ O0.01528 1.% 90’ o“
56 9333 56 556 46 27’ 36” 60 96’ O57 9500 57 583 47 28’ 12” 7058
102’ o“9667 58 611 48 28’ 48” 809833
108’ O639
%29’ 24”
1.000 ;?) 0.01667 o% 30’ 0“114’ o“
2.;: 120’ o“, 0 ,9 0 0 ‘ and “ o ‘ and “
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446
C F( F o ro n v e r s i o na c t o r se e t i n gh et a n d a r d s fh e 1e t r i cy s t e me fA S3
M U L T I P L Y B YO B
c e n t i m e t e r s....................................... 3 . 2 8 0 8 3l & 2e e
c e n t i m e t e r s....................................... . 3 9 3 7
...............................
:ubic feet ...........................................
:ubic feet ...........................................:ubic feet ...........................................
.......................................
......................................
......................................
.........................................
. ... . .... . . .. . .... . . ..
........................................
.....................................................
.....................
.....................
.....................
. . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . .
. . . . . . . . .
. . . . . . . . . . .... .. ... . . ...
...........................
..............................
.................................................
d l...... .....................
.............
iters ...................................................
meters ............................ ...................
meters ................................................meters ................................................
statute .....................................
..........................................
..........................................
............................
. . . . . . . . . . .
. . . . . . . . . . .
radians ...............................................
............................
....................................
....................................
......................................
......................................
. . . . . . .
...........................................
.. . .. . . ... . .... . ... . . ... . .
. . . . . . . . . . . .. ... . ... .. . .. .
.. . . . .. . . .. .. .... .. .. .. ....
..........................................
..........................................
y a. . . . .
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PART IV.
DESIGN OF STEEL STRUCTURES
3. CenterofGravity .................................................................................. 4
4. BeamFormulas..................................................................................... 4
5. DesignofWelded Joints....................................................................... 45
6. ExampleofCalculations ....................................................................... 46
7. BoltedConnections............................................................................... 46
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448
S TS F
DEFINITION OF SYMBOLS s~ =Bendingstress,psiA =Cross s e c t i o n a lr e a ,n 2 . ~Shearstress,psiAR =RequiredcrosssectionalArea, in2 S~ =Allowabletensileor compressiv
I =Momentof inertia, in4 stress, siM =Moment, in-lb S~* tAlIowale bendingstress,psi.M* =Allowablemoment,in-lb s~~ =Allowableshearstress,psi.P = F o r c e ,b Y = Distance from neutral axis toPA = Allowable force. lb extreme fiber, ins =Tensile or compressivestress, psi Z = Section modulus, in3
TYPE OF LOADING EXAMPLES
p-p ;:i;;;, The stress in a 2x % in. bar made from
JSA 285-C steel due to 5,000 lb. tension
A, = $:in21 load is:TENSION Area, A = 2x V4= 0.5 in2;
. s = + (psi) S = $ = 5~~0 = 10,000p
P
A+PA = AS4 (lb)
p (in2)AR = — To support a load of 11,000Ibs. inCOMPRESSION s~ compression, the required area of stee
P
m
bar m a d er o2 8 tp ( p s i )~ >
PAR = — = E = 0.5 inz
PA = AS~~ (lb) s~ ,.L. -
A p SingleAR =$~~n2)
The required area of bolt made from
Q
= ~A(psi)SA-307B steel to support a load of
>2~ s~ 15,000lbs. in double shear:~P
P/2+— P A2AS~~ (lb) AR =~ =2s,4 .*~51’~~o~=0.75 in’
Double A – p (in2)
SHEAR 2ss~
M = P/ (in-lb) Themaximumbendingmomentat the
P[ MA = ZS~ (in-lb) sup ort of a cantilever beam due to a
Q
Joa of 1,000Ibs. acting at a distance o
M (in3)zjQ= sr-- 60inchesfromthe support:
M =Pl = 1,000 X 60 = 60,000 in-lb.s = ; (psi)
BENDING S* = ~, (psi) Section modulus
mm If dimensionb =2 in. and d=4
d-Y axisof moment on the base. 1=42.67.
Z= I/y = 42.67/4 = 10.67 in3
u
z=~y axis of moment throu h center, 1= 10.
b =Ily = 10.67I2= .335 in3
SECTION MODULUs
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44
A STRESSESFOR NONPRESSUREPARTSOF VESSELSANDOTHERSTRUCTURES
TYPEOF STRESS&JOINT ALLOWABLESTRESS SOURC
;TEEL CODE
Bearing1
1.60x The values of UCS-23Shear 0.80x tables UCS-23 Notes
Compression 0.60xrension (except pin eonneetion)
}
Specified0.60x American
Bending 0.66 xminimum Institute
~hear 0.40 x yield stress of Steel
Bearing (on projected area of bolts Min. tensile C o n1 . 5
i nh e a r no n n e c t i o n ) s t r e n g
W E L D E DO I N T FT E E L
Fullpenetration groove weld same as for thetension, compression, shear steel welded
Partial penetration groove weld American1. tension transverse to axis of weld, Welding
shear on throat 13,600psi Society2. tension parallel to axis of weld or same as for the
compression on throat steel welded
Fdlet weld, shear on throat 13,600psi
(using throat dimension)9,600 psi(using leg dimension)
Plug or slot weld same as filletweld i1,
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. - -
P RS
D E F I N I T I O N FY M B O I J jr = Radius of gyration, ~~
A = A r e a ,n .Y = D i s t a n c exe x t
1 = i n .z = i n
1
y1----1
L, , ,.. . , . , : . . :, . .
—’:”
\@a 2
K
/
ab
\
/ “ — ~
\
Ya :“ .:.”’
E h-
‘ I - Q
f =
Z =
r = 0.289a
r = 0.S77a
A = az
y = a
I =
Z = 0.118 a~
r = 0.289a
A =
Z =~’–
r = 0.289 U2+b2
A =
y = 0.707a
I 12Z =(0.118a’ –
r = 0,289 +
A = bd
y = Y2d
I =
Z =
r = 0,289d 1
E&.:,,::::,,.,.,:.
h “~~ . ~~
: ’“i Y
u
k
b
w
.. -
A = bd
I =
Z =
r = 0.577d
A =
y = Yzd
I
Z – d
‘=
A = ‘~ bd
I =
Z =
r = d
I =
Z =
r = 0.408d
A =
Y = +
~ = +
( b
~ - ( 4 a +b
1 ( 2
A =
Y =
I =
Z =
r =
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451
P RS
D E F I N I T I O N FY M B O L S.
A = z c x { ri1 = Moment of inertia, in.4 z = Section modulus, ,
A = A =
w
,. :
F
~ = ~– +y =
? ,,,.,,,.-- ,.,.:,. I =
[
.,.,,:,. .:::.:.
LY
i =, ,
Z = 0.098(D4-d4 )/D,.,,,:.,.:,:,:.:.:.,;..:.:......., -(a -
dr u
z = I /r = f
S e c t i o n fh i na l l e d 4= b—t)
IGi
c y l i n d e rh e n >0 1
I i 5 3
~ ~, 7~ . b– ((l?d+a)+dz
R A = +
.:::::— 1 =Y
~
1 = R’( r[ z = R’[ r
L
z =
r = O. a r
A =
E
A = bd - h (b – t)
Y =Y = d
Z =d s
r = 0.132 d 6
A =
Y =
I
Z
r
A =
y =
i = [bd’–h’(b–O]12
Z
/4 = bs + h( A =
? :......... y =.... + 2:~,:-
i ~ fj = 1.............................
Yz =
r
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452
C G
‘ h eenter of gravity of an area or body is the point through which about any axis thloment of the area or body is zero. If a body of homogeneousmaterial at the centerravity were suspended it would be balanced in all directions.
‘he center of gravityof symmetricalareasass uare, rectangle,circle,etc. coincides1eeometrical center of the area. For arqas w i c h . a r eoymmetricalor whichareYmmetricalbout one axn only,the centerof gravitymaybe determinedby calcula
The center of gravity is located on the centerline ofsymmetry. (Axis y –y)To determine the exact location of it:
Y
25+.
c
IC.g”
Y ~- b
x x
Y a
EXAMPLE #1
Y
h
c1
1 .
2.
3.
Divide the area into 3 rectangles and calculate tharea of each. (A, B, C)Determine the center of gravity of the rectangleand determine the distances a b and c to aselected axis (x– x) per endicular to axis y– y.
ralculate distance y to ocate the center of gravi
by the f o r m u l a :
-
y = Aa+ Bb +
A +B+ C
A s s u m i n go rr e a se c t a n g l=16, B= 14and C= 12 square inches and for the distances ocenter of gravities: a = 1, b = 5 and c= 9 inches.
y = 16X 1+14X5+12X 9 = 4462in.
16+14+ 12
The area is not symmetrical about an axi:s. The
genter of gravitymay be determined y calculatingthe moments with reference to two selected axes. Tdetermine the distances of center of gravity to thesa x e s :1 .ivide the area into 3 rectangles and calculate t
areas of each. (A, B, C)2 .e t e r m i n eh ee n t eg r a v it e
%n dh ei s t a n c e s ,a nt a x t e,
( 4cj- d i s t a n c e sl, bl, c, t x i– y... -. Calculatedistancesx andy bythe formulas:
- x
\ -+- x = AuI +Bbl +Cclc A.
b ccl+ A+B+C
- ‘A1 Y
x 1’ t xa al y = Aa+Bb +Cc
— A+B+CY
A s s u m i n go rr e a se c t a n g l= 1 B =14E X A M P L E 2n d = 2q u a r en c h en oi s t
c e n t e r fr a v i t i e s := 1 b = 5= 9: 4, b,=1and c,=3
~ = 16x 4+ 14x 1+12x 3 = 2.71 in.y = 16X1+ 14x5+12x8 = 4.62 in.
16+ 14+ 12 16+ 14+ 12
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4
C G
rA
A
T R I A N G L E
\ T h ee n t e r fr a v i t y s th en t e r s e c t i o nl i nD a BE,h \ E
Lw h i c hi s e c the sides BC and A Che p e r p e n d ii
‘ \r o mh ee n t e r fr a v i t y ony one of the sides is equal toB c t h i r dh ee i g h te r p e n d i c u l a r oh aide. Hence,a = h + 3
. I - ” D 7R A P E Z O I D
B
m
r
T h ee n t e r fr a v i t y s nh ei no i n i nhi dor p a r a l l e li n e sB DE.
h e
1
= ~ (a + 2 b) ~ = h (2 a + b)c
3 (a+ b) 3 (a+ b)‘D
1---IEd
a 2e =
f J-- 3 ( a
SECTOR OF CIRCLE
ADistance b from center of gravity to center of circleis:
2 rc = r2c = 38 ~g, r sin a
@
r
T
b‘T E - o
/< i nh i c h= of sector, a i x p r e s sd e ga
4
For the area of a half-circle:b = A r + 3 T = 0.4244r
For the area of a quarter circle:b
b = 4 & X r + 3 T = o.6o02rF o rh er e a fs i x t h fc i r c l e
b = 2 r + T= 0.6366r
1
SEGMENT OF CIRCLE
r The distance of the center of gravity from the center of the circle
l=$kl
C is: ~3
b = —r3 s i n
b 12A = 3 A
in which A ==area of segment.
&
R PART OF CIRCULAR RING
rb from center of gravity to center of circleis:
b = 38.197 ‘$~$a
h A n g l ei sx p r e s s e d negrees.
3
FRUSTUM OF CONE
} For a solid frustum of a circular cone the formula:= h (R2+ 2 R 3 rz)
ari- 4 (R2 -i- Rr r2)
I
T h eo c a t i o n fh ee n t e r fr a v i t yt ho n iu ao
h frustum of a cone is determined by:
d
– h ( R +r* P a – 3(R+ r)
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4
C G
EXAMPLES
A 1 = 0 0 ’o “I
I2r-o”-
80 Ibs
75000 Ibs b
’600 Ibs
x I2’-6” 1800
600
78880
75000 x 50’ + 80 X 2’ + 1800 X iO’ + 800 X102’+ 600 X 2’-6” + 600 X 97’ 6”
x==
Ibs
4,017,760= 50,935’ = 50” – I 1.1/4”
= 78,880
B 108’-0”t’
9
6’-0”– 42’-0” 2’-0” 56’4’)” 2’
5’-0” (24000 Ibs) ~ (17000 Ibs)
2400 I b s =900 lbs & I 1000 Ibkt , +
A [
x
. -
*
weight:
17000lb
1400lb
1
2400 x ~’+ 24000x 27’+ 100ox 49’ + 1 7 0 0 0 x8 ’ +4 ( J O X0 7 ’9 0 1x = .4 7 , 7 o Obs.
2200,900=—= 46.14’ = 46’-1] ’16”47.700
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4
B F
D E F I N I T I O N FY M B O L SW’ = load, lb.E =
V =
r = v =
I = w = u n i f o r m l yi s t r i b uo= M o m e n t fo r c e ,n .b .= D i s t a n c ea r a l la xi
P= F o r c e fo n c e n t r a t e do a d ,b .= D e f l e c t i o nn
R = e =
Cantilever fixed at one end – Concentrated load at free end
~
R PK
R A tu p p o r t ,PM X = P
x
1 A tree end, Arnu = $& Ax = ~6EI ‘2’3
– 312X+ X3
Cantilever fixed at one end - Concentrated load at any point
P R= V=Pb
-
a A tupport, = P
Y When x>a = – a)
R At free end, Amu =Pb3
II~ (31- b)
p , -j A -Whenx<a Whenx>a
= Pb2 (31 _ 3X – b) AX = p – ‘)’ (3b – I + %x
6 E I E
Cantilever fixed at one end – Uniform load over entire spanR = V = Wi
Vx = Wx
R W12A tupport, l14max ~ Mx= +
W14At freeend, = — A - – 4 13
8 E I4 E
Cantilever fixed at one end – Load increasing uniformly from free end to support
R ==w Vx=WA M x12
R w= -+-WI
A tupport, = —3
W13At free end, A m a x~ 1&
& ) E5
W12free end, O = + —
Z2EI
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456
B F5 Supported at both ends Concentrated load at mid-span
P
B
12 1/2 R] = R2 = v = P/2
PlA toad, = —
PW h e< 1 1
RI R2 4
x P 1 3l o a d ,m a x—
4 8 E In d= – ~ =
1 61
‘ x3 /4 X ’h e n< 1 / 2 X~ 1
6 S u p p o r t e d to t hn d so n c e n t r a t e do aa no iPbMax w h e n< b R~ = V/ = — A l o a—1 1
P Max when a >b R2 = V2 = — Pb
m
a b W h e<X —1
&>~ when a > b A rnti= — i 1– b~)s
RI 2A l o.
3x
W h e n<a Ax = ~bx1 3(1’ – b’–X2)
91=– (2al + –3a’)
A tnds,= + —
-
7 S u p p o r t e d to t hn d sw on e q u a lo n c e n t r a t e do a d sq u a lp a
R ==P = W h e<a MX= PP, P2
B
a a A tenter, Arnax ~ (3f’– 4a2)
RI R Ih e n= —:1 ’31a
– 3a2 – X2}
x When X>u AXbut x <(1– Q)
= ~ (3h - 3X2– az)1
At ends, 6 = Pa 2EI(1 – a)
8 Supported at both ends Two equal concentrated loads, unequally spaced from end+ P2b ~2 = + P2(1-
PPRI =V1 =
I 1
B
a bWhenx when RIQ1 Ml = RIbut X – v
= – PIRI R1 Maxw h 2 = R2
W h e n<a M. = RI X1
W h e n >but x < (1 - b) MX = RI x – (X – a)
) a both ends Uniformload overentirespanWI
R = V- - j -(l
=W —-2 )
W P~ ‘ te n t e r ’m a- - j -
x( - x)1
center,Arnu=~ Ax‘ ’
– +
1*
At ends, O = —24EI
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457
B Fo ends Uniform load partially distributed over span’
Max w h e n< c= ~ (2c + b)
,l~lR lvlaxwhena~:V =~(2.,~)
‘b
W h e n> au t< ( ab) = – –
2x Mmax = RI a +
2WAt x = a + ~
Iw
When x <a =RIX
When x>a but Mx =R I X( – a)2
W h e n> ( a +) = –
12 p 1/2F i x e d to t hn d so n c e n t r a t e do a di d - s p
‘ ~
R = V; $tte;e~;er and M... . ~8
$ <,W h e n< 1 / 2
Pi x .. = ~ (4x – 1)
\ \/ A = & A = - 4
~ Fixed at both ends Uni~orm load over entire span
\ R = V = 7x = w (- x
/II[i; I II I1] ‘/R J tn d s ,
A ‘ ‘
xW A enter, M =
1M .W/2 (61x– i2 – 6XZ)
At center,W14
= —= 3
(1 - X)2
3 Both ends are overhanging Uniform load over entire beam
x R = V{ + V2 = w(a + l\2) VXI = WXI V. = W(X– 112)
u
For overhang, = ~ A upport, M =
m B e t w e e nu p p o r t s ,. = ~ (lx – X2– a’)
A t– 4x
a a Whena = . x total lengthorA = .3541
R, RIWP
M = M C—1 6
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458
D W JFOR STRUCTURALMEMBERS
GROOVE-AWELD
Groovew a u a c ot b m F g W t ss a a f t m t t j
FILLET WELD
S u efw e l d
throat
b
/The size of an equal-leg fillet weld is the legdimension of the largest 45° ri ht triangle inscribed
‘.. 8. . in the cross section of the wel .
I-1---J%’ The size of an unequal-legfilletweldis theface
K
shortestdistancefromthe root to the faceof thefilletweld.
,,
Throatdimension= 0.707 x leg dimensionroot
MinimumWeldsize*\
Thicknessof the thickerplate, in.over
1/2 3/4 ‘/2 ZY4 6 6
Minimum fillet weld size, in. 3/16 ‘/4 %6 % ‘/2 5/8
* Weld size need not to exceed the thickness of the thinner part joined
Economyof filletwelding1. Usethe minimumsizeof filletweldrequiredfor the desiredstrength.
2.
3.
Increasing the size of a fillet weld in di~ectproportion, the volume (and costs) of itwill increase with the square of its size.L o c a t ee l d ov o i dc c e n t r i c i t y , o ee a d i l yc c e s s i b l e ,nd o w n - wp o s i t i o n .A p p l yi l l e te l dr a n s v e r s e l y oh eo r c e oc h i e v er e a t et r e n g
/ )
AllowableLoadThe strength of the welds is a function of the welding procedure and the electrode useFor carbon steeI joints commonly used maximum allowable static load 9,600 (9.6 kips)er 1 square inch of the fillet weld leg-area, or 600 Ibson a %6” le x 1“I f W
F % 4rx a m p l e :h el l o w a b l eo a d n% “1 “o n gi l l e te lx 0 = 2 0 I
C o m b i n e do a d sS h e a rt r e s sn de n d i n g ro r s i o n a lt r e s s e su e oc c e n t r i co a d i nc ov e c t o r i a l l y . t sa s e d nh el a s t i ch e o r yn dr o v i d e ss i m p l i f i no n sm e t h o d .
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-rd7
D W JFOR STRUCTURALMEMBERS
~ subjectedto bendingmoment,in2
A WLength of weld, in.V = V e r t i c a lh e ai
f = A l l o w $ b l eo a d ne l d ,. 6i p s= F i l l e te lei m e n
~ = L o a di l le li
p e r. l e g - a r e a l i n e a ln cw e= B e n d i n go m e n t ,i p ss = Avera e vertical shear on fillet
P = Allowable concentrated axial Eeld, ips per lin. inch of weldw~ = Bending force on weld, kips per?
w
“ “
COMPRESSION VERTICAL SHE,AR BENDING
RESULTANT FORCE: W = ~W,2 + W22+ W32
EXAMPLE #1Determine the required size of fillet weld. The length of the weld is all around 8.5inches and the tensional load 20 kips.
20,000Ibs.
$
~ . -P- .’ 20—= 2.35 kips per lin. in.
o
A,,, 8.5
ww=— = 0.24; use X“ fillet weldf .
EXAMPLE #2
Determine the required size of fillet weld. The length of the weld 12 inches (6” eachside) and the load 9 kips.
& 62Section modulus, (from table) SW= ~= ~= 12 in’
9,000 lbs
d
3’ M 3x9
Bending Force, ~ = — = 2.25 kips per lin. inchw 12
vShearForceW, = ~W= ~ = 0.75kipsper lin. inch
Resultantforce, W =<W~2 + WJ2=
~ 2 + 0 = kips per lin. inch.
W 2.37Fillet weld size, w = — =— = .247”; use K“ fillet weld
f 9.6
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460
DESIG~ OF’ W JPROPERTIES OF WELD OUTLINES1 I
t
d2
x x s. = —6—. --
L— —
b
i - l
r r
++ — xi x
II Y
- -b
1- l
x
v
d zs ‘ ~
I
S Wb d
d ( 4 bd )S wt o p )~
d 34 bd )S Wb o t t o m )—
6 (2b+d)
(max.stress at bottom)
s Wb d:
, I
b1
A
Y
I
d ~ – +IY
b
t - l
1 +
d x - x
1 0
dx – x
d ( 2 bd )S wt o p )~
d 22b+d);W= ( b o t t o m ) )
( m a x .o r c e to t t o m )
SW. hi
d 2S w~
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46
E XA
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E XA
EXAMPLE #2
A vertical vessel is supported by twoI
beams.The weight of the vessel is 20,000 lbs_===------=--- _-.---=---- .- .
1 = 120 in Assume pin joint
The load on one beam:
Moment:
P l0,000x 120M =—= = 300,000in-l
4 4I
10’-0” Required section modulus:d
z=S*
Assumingfor allowable stress, SA:20,000psi,
ISection modulus:
I z= 300,000: = 15 in3b 20,000
I The section modulus of a wide flange8WF 20 is 17 in3Moment of inertia: 69.2
Stress at the center of wide flange:
MSz
300,000=—= = 17,647psi10,000 lbs 17
I Deflection:A A
A = ~ =0,000x 1203
48EI 48 x 29,000,000 X 69.~=
.1794 in - %6 h.
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463
B CFOR STRUCTURAL MEMBERS
REQUIRED LENGTH OF BOLTS
NOMINAL REQUIREDBOLTLENGTH=BOLT GRIP+ D1MENS1ONSELOW, n c h e s
D I * y ” : T E R OA S H E R SW A S H E RW A S H E R S
1 A1 / , 6/ 8
% 7 / 8f 1 ~
1 1~ 1 5 / 1 6
7 1 i 1 1y16
1 1~ 1%6 f ?46
1 1 E 1 I 1 1
1 1 l
1 l 1 2
1Y 27 / 82 ~ 1 6~ 1 6
MINIMUM EDGE DISTANCE AND SPACETheminimumdistancefrom the center of bolt hole to any edge
BOLT MINIMUMEDGEDISTANCEDIAMETER A TH E A R E D TO L L E D
mo
7 2 / 8 / 4z—
51 ~ 7 / 8
3g
3 / 4y 4.
1 m
1/8 1y2 1~ . -
1 1 ~ 4?
1% 2l y z
4 L E1 ~2 y 45 / 8D I S2 y 8- y B
BOLTHOLES shall be ~16° larger than bolt diameter.
ALLOWABLE LOADS in kips
SA 307 unfinished bolts and connected material: SA 283C, SA 285C, SA 36
NominalDiameter vi 3 / 4/ 8o fo l t
1 1y 11 /E
T e n s i l et r e s sA r e a , n
. 2 2 6 0. 3 3 4 5. 4 6 1 7. 6 0 5 7. 7 6 3. 9 6.
A l l o w a b l eo a d s4 , 5 2. 6 9. 2 32 . 1 15 . 29 .3
i ne n s i o n
A l l o w a b l eS i n g l e. 0 7. 4 2. 0 1. 8 5. 92 .4L o a d s nS h e a ro u b l e. 1 4. 8 42 . 0 35 . 7 19 . 84 ,9
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PARTV.
.MISCELLANEOUS
1. Abbreviations....................................................................................... 466
2. Codes,Standards,Specifications.......................................................... 470
3. Boiler and PressureVesselLaws.......................................................... 474
4. List ofOrganizations Sponsoring or Publishing Codes,Standards or Specifications Dealing with Pressure Vessels . . . . . . . . . 476
5. Literature............................................................................................... 479
6. Definitions ............................................................................................ 483
7. Index ti_~.___~~_~~~fi~ti.~.i.~~~.~~~mu~~tiomofiu.ti.ti.m.o.ti.~. 494
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466
A
COMPILED:From 1 .SAZ32.13-1950ABBREVIATIONSORUSEONDRAWINGS
2. ASAZIO.I-I941 ABBREVIATIONSOR
SCIENTIFIC&ENGINEERINGTERMS
ADDED: ABBREVIATIONSGENERALLYUSEDONVESSEL&PIPINGDRAWINGS
AB AnchorBolt Ccw CounterClockwise
AISC AmericanInstitute cfm CubicFoot per
of SteelConstruc- Minute
tion CFW ContinuousFillet
ALLOW Allowance Weld
Allowable CG CommercialGrade
ANSI AmericanNational CG CenterofGravityStandardsInstitute cm Centimeter
ASA AmericanStandard %Centerline
Association %to%Centerlineto
API AmericanPetroleum Centerline
Institute co Company
APPROX Approximately CONC Concentric
ASB Asbestos CPLG Coupling
ASME AmericanSocietyof CORR
MechanicalEngin- ALLOW CorrosionAllowance
eers COUP CouplingASTM AmericanSociety CRS ColdRolled
forTestingMat’ls. SteelAVG A v e r a g es Carbon Steel
bbl Barrel c to c C e n tC e
B Co l ti r c l e T Re n t
B E Ve v e l uu b
B L Dl i n d u .t .u bo
B O Po t t o m fi p e wl o c k w
B O To t t o m W Tu n d re
B R K Tr a c k e t co w n c o
b t ur i t i s hh e r m a l E Ho u bx
U n i t H e a
B We v e le l d E Te t a
B W Gi r m i n g h a mire DIA Diameter
Gauge DIAM Diameter
c DegreeCentigrade DIM Dimension
CA Corrosion Allowance DP DesignPressure
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4
ABBREVIATIONScont.)
DT’L Detail HLA HighLevelAlarm
DWG Drawing HLL HighLiquidLevel
EA Each HLSD High Level Shut
EH Extra Heavy Down
EL Elevation HR Hot Rolled
ELEV Elevation HT Heat Treatment
ELL Elbow ID Inside Diameter
ELLIP Ellipse, Elliptical, in inches
Ellipsoid INCL Including, Included
EQ Equal, Equally INS Inspection
ETC Et Cetera INT Internal
EXT External JE Joint Efficiency
F Fahrenheit kg KilogramF-F Face to Face 1 Liter
F&D Flanged & Dished lb Pound
FF Flat Face lbf Pound Force
FIG Figure lbs Pounds
FIN Finish LC LevelControl
FLG Flange LCV Liquid Control Valve
FS Far Side, Forged LG Long
Steel LG LevelGage
ft Foot, Feet Lin. ft. Lineal Foot (Feet)
FT3 Cubic Foot LLA Low LevelAlarmFW Fillet Weld LLC Liquid LevelCon-
13 Gram trol
GA Gage LLSD Low LevelShut
GALV Galvanized Down
gal Gallon LR Long Radius
GG Gage Glass Ls Low Stage
GOL Gage of Outstanding LWN Long WeldingNeck
Leg m Meter
gpd Gallon per Day MB Machine Bolt
gpm Gallon per Minute MK MarkGR Grade MAT’L Material
HVY Heavy MAWP Maximum Allowable
HD Head WorkingPressure
HEMIS Hemispherical MAX Maximum
HEX Hexagonal MH Manhole
HH Handhole MIN Minimum
HL Hole MK’D Marked
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468
ABBREVIATIONScont.)
mm Millimeter RAD Radial
MMSCF MillionStandard REF Reference
CubicFeet REINF Reinforcing
MSCF ThousandStandard REPAD ReinforcingPad
CubicFeet REQ’D Required
MW Manway RF RaisedFace
N North RJ RingJoint
N&C New&Cold RTJ RingTypeJoint
NLL NormalLiquidLevel RV ReliefValve
NO Number s Schedule
NOM Nominal s/c ShopCoat
NPS NationalPipeSize SCF StandardCubicFootAmericanNational SCH Schedule
TaperPipeThread SCR Screw
NS NearSide SCR’D Screwed
NTS Not to Scale SDV ShutdownValve
OA Overall SERV
OD OutsideDiameter Sht. ServiceSheet
OR OutsideRadius SF StraightFlange
OSHA OccupationalSafety and SHT Sheet
HealthAdministration SM Seam
Oz Ounce SMLS SeamlessOzs Ounces so SlipOn
P Pressure SPA Spacing
PBE PlainBothEnds SPEC Specification
Pc PressureControl SPGR SpecificGravity
Pcs Pieces SQ Square
Pcv PressureControl SR ShortRadius
Valve Ss StainlessSteel
PI PressureIndicator s-s—.k Plate s/s Seamto Seam
PROJ Projection STD StandardPSE PlainSmallEnd STL Steel
psi PoundperSquare STR Straddle
Inch SUPT Support
psia PoundperSquare SYM Symmetrical
InchAbsolute T&B Top&Bottom
psig Poundper Square TC TemperatureControl
InchGage TBE ThreadedBothEnds
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-
ABBREVIATIONS (cont.)
Psv Pressure Safety Valve TYP Typical
R Radius USAS United States of Ameri-
TEMA Tubular Exchanger ca Standards Institute
Manufacturers VA Valve
Association VOL Volume
THD Threaded, Thread v With
THK Thick WG Water Gallon
TI Temperature WeldingNeck
Indicator ~ OUT Without
TLE Threaded Large End WP WorkingPressure
TOC Top of Concrete WT Weight
TOS Top of Steel XH Extra Heavy
TS Tube Sheet Double Extra
TSE Threaded Small End Heavy
T-T Tangent to Tangent XX STG Double Extra
TW Tack Weld Strong
TW Thermowell
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470
C STANDARDSSPECIFICATIONS
PRESSURE VESSELS, BOILERS
ASME Boiler and Pressure Vessel Code, 1995
IIII vvV
VV
IxX
P BM S pN P P CH BN oR ef C a O o H
BR ef C o P BP V — D 1 D 2 — ARW a B QF i bP VR f I I o N P PComponents
British Standards Institution (BSI)
1500 —Fusion Welded Pressure Vessels for Use in the Chemical,Petroleum and Allied Industries
1515 —Fusion Welded Pressure Vessels for Use in the Chemical,Petroleum and Allied Industries (advanced design and construction)
Canadian Standards Association (CSA)
B-51 -h41991 - Code for the Construction and Inspection of Boilerand Pressure Vessels
TANKS
American Petroleum Institute (API)
Spec 12B Specification for Bolted Tanks for Storage of ProductionLiquids, 1990
Spec 12D Specification for Field Welded Tanks for Storage of Pro-duction Liquids, 1982
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CODES,S S
S 1 S pShop Welded Tanks for Storage of Pro-duction Liquids, 1988
Std 620 Recommended Rules for Design and Construction of
Large Welded, Low-Pressure Storage Tanks, 1990Std 650 Welded Steel Tanks for Oil Storage, 1988
U n a(
N 1 S A bf F a Ct L
N 5 S U nf F a Ct L
A W W A (
D AWWA Standard for Welded Steel Tanks for Water
Storage
N F P (
N 3 F & C L CN 5 L P G S a HN 5 L P G a U G P
PIPING
A N S I (
B — 1 P PB — 1 F G PB — 1 C P a P R PB — 1989 L P T SB — 1 R ew 1 AB — 1 Gas Transmission and Distribution Piping Systems
HEAT EXCHANGERS
E xM aI
S tE w 1 A a P G t Es J
PIPES
American National Standards Institute (ANSI)ANSI B36.19-1976 Stainless Steel PipeANSVASME B36.1OM-1985 Welded and Seamless Wrought Steel Pipe
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CODES,STANDARDS,SPECIFICATIONS
F ILANGES,ANDVALVES
American National Standards Institute (ANSI)
ANSI B16.25-1992ANSI B16. 10-1992
ANSI B16.9-1993
ANSI B16.14-1991
ANSI B 16.11-1991
ANSI B16.5 1988
ANSI B16.20-1993
M A
BF aE D oF VF aS BFF P P B a Lw P TF S F S aTP F a F F S NA a O S A
R G a G f S PF
The American S f T a M (ASTM)
1989Annual Book of ASTM Standards, Section 1 Iron and SteelProducts
Volume01.O1/SteelPiping, Tubingand Fittings, 131StandardsVolume01.03/Steel Plate, Sheet, Strip, and Wire, 95 StandardsVolume01.04/Structural Steel, Concrete ReinforcingSteel,
Pressure Vessel Plate and Forgings, Steel Rails,Wheels, and Tires — 135S
M I
I nB O (
U B C — 1
S S tC (
SteelStructures Painting ManualVolume 1, Good Painting PracticeVolume 2, Systems and Specifications
U B a P V L S
S o B a P V L R a Rb S C C a P ( S a C—
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47
CODES,STANDARDS,SPECIFICATIONS
Environment PC o Federal Regulations, Protection ofEnvironment, 198840- Parts 53to 60
(Obtainable from any Government Printing Office)
A S o C E (ASCE)
Minimum Design Loads for Buildings and Other Structures
ASCE 7-88 (Formerly ANSI A58.1)
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TABULATION OF THEBOILER AND PRESSURE VESSEL LAWS
OF THE UNITED STATES AND CANADA
JURISDICTION I II XVVIII(1)VIII(2) XIAlabama NNNN NNAlaska YYYY YN
Arizona YNYN NNArkansas YYYY YYCalifornia YYYY YYColorado YYYY YYConnecticut YYYN NN KEY:ASMECodeDelaware YYYY YY SEC
Florida YNYY NN I P o o
Georgia YYYY YY1 11
Hawaii YYYY Y y VIII(l)- PressureVesselsIdaho YYYY Y N VIII(2)-PressureV e
Illinois YNYY YY XI-I n s en
Indiana YYYY YN N u c
I o w aY Y Y Y Y YKansas YYYNNY N-Lawdoesnotcov
Kentucky YYYYNN *-Onlyportionsof
Louisiana YNYN NNCodeorcall
Maine YNYY YNjurisdiction
Maryland YYYY Y Y SOl.JRCE:Massachusetts YYYYN y T ho n d ea b
Michigan Y Y Y Y* N Y ::;;:t$;n ;::5:::0;::5;;Minnesota YNYY YY Law5RulesandRegu,atMississippi YNYY N N CoP~right 1994 unifoMissouri YYYY Y y Boilerand PressureVes
Montana YNYN N N LawsSociety.Nebraska YNYN N N [tdoesnotlistalltheexeNevada YNYY Y N tionandvari~cesnthemNewHampshire YNYY N N lawsand regulations.MNew Jersey YYYY YY detailedinformations av
New Mexico YNYN NN :::5u;::;:;:n:::;:;:n:;;New York YNYY N N beobtainedromthejurisNorth Carolina YYYY Y Y tiomlauthorityrtheSociNorth Dakota YNYY YNOhio YYYY YYOklahoma YNYY YNOregon YYYY YY
Pemsylvania YYYY YYPuerto Rico YYYY YYRhode Island YYYY YYSouth Carolina NNNN NNSouth Dakota YNYN NNTennessee YYYY YYTexas YYYNNYUtah YYYY YYVermont YNYY YNVirginia YYYY YY
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47
TABULATION OF THEBOILER A P V L
OF T U S A C(continued)
JURISDICTION 1 11 IV VIII(1) VIII(2) XI
Washington YYYY YY
West Virginia YNNY NNWisconsin YYYY YYWyoming YNNY NN
Alberta YYYY YYBritish Columbia Y Y Y Y Y YManitoba YYYY YYNew Brunswick YYYY YYNewFoundland & Y N Y Y Y N
SECI P o wo
LabradorNorthwest Territories Y N Y Y Y N IV-HeatingBoilers
Nova Scotia YNNY YN VIII(l)- PressureVessels
Ontario YYYY YY VIII(2)-PressureVessels
Prince Edward Island Y Y Y Y Y N XI-1nservicenspection
QuebecN u c
YYYY YNSaskatchewan YYYY YY Y-RequiredyLaw
Yukon Territory Y Y Y Y N NN-Lawdoesnotcover*-Onlyportionsof
Albuquerque YNYN NN CodeorcallBuffalo YYYYNN jurisdiction
Chicago YYYY YY
Denver YYYY YYSOURCE:
Des Moines YNYN NThiscondensedabulationof
N dataistakenfromSynopsisDetroit YYYY Y Y B o i l nr e
LosAngeles YYYY YN L a wu le g u
Memphis Y Y Y Y Y Y :::::i;;: ;;e;:urJn;:;::Miami YYYY Y NMilwaukee YYYY YNNewOrleans Y Y Y Y Y Y ::O;O:::;;::;C:; ;::;’;::;New York City Y N Y y N N lawsandregulations.oredeOmaha YNYY N N tai]~d n f o r ma v
St.Joseph YYYY Y N u n d ho c iy
St. Louis Y N Y Y Y N ‘Urthernformation.maeSeattle
obtainedromthejurlsdlY Y Y Y y y tlonalauthorl~ortheocie~
Spokane YNYY YNTacoma YYYY YN
Tucson YNYY YNTulsa YNYY YNUniversityCity YNYY YNDadeCounty YNYY YNJeffersonParish YYYY YNSt. Louis County Y Y Y Y Y NDistrict of Columbia Y Y Y Y Y Y
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476
L OS PP C A S O
S PW P A P V
~AME&ADDRESS
4MERICAN BUREAU OF SHIPPING
15EisenhowerDrive~mmm, NJ 07652 (201) 368-9100
ENGINEERING & SAFETY SERVICE
hMERICAN INSURAN CE SERVICES GROUP, INC.
\5 John Street,New York, NY 10038
AMERICAN NATIONAL STANDARDS INSTITUTE**
11West42nd Street, New York, NY 10036 (212) 642-4900K* U n i t e dt a t e s fm e r i c at a n d a r d sn s t i t u t eU S A S )n
p r i o r o9 6 6m e r i c a nt a n d a r d ss s o c i a t i o nA S A )
AMERICAN PETROLEUM INSTITUTE1220L Street,Northwest
Washington,D.C. 20005 (202) 682-8375
AMERICANSOCIETYOF MECHANICALENGINEERS345East47thStreetNewYork,N.Y. 10017 (212)705-7722
AMERICANSOCIETYFOR TESTINGANDMATERIALS1916RaceStreetl?hiladelphia,A 19103 (215)299-5585
AMERICANWATERWORKSASSOCIATION6666WestQuincyAvenueDenver,CO80235 (303)794-7711
AMERICAN WELDING SOCIETY
P.O. Box 351040Miami,FL 33135 For Orders Only 800-334-9353
BRITISHSTANDARDSINSTITUTION*
389ChiswickHighRoadLondonW44AL*BfitishStmdwdPublicationsreavailablero m
The Amer ican N a t i o n a ltandardsInstitute
CANADIANSTANDARDSASSOCIATION178RexdaleBlvd.Rexdale,ONCanadaM9W1R3
COMMERCIALUNIONINSURANCE COMPANYOF AMERICA1Beacon Street
Boston,MA 02108 (617) 725-7304
AISG, INC.
ANSI
API
ASME
ASTM
AWWA
AWS
BSI
CSA
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L OSPONSORINGOR PUBLISHING CODESANDSTANDARDSOR
SPECIFICATIONS DEALING WITH PIPING ANDPRESSURE VESSELS
N A M EA D D R E S S
COMPRESSED GAS ASSOCIATION, INC.
1725Jefferson Davis Highway, Suite 1004Arlington,Va22202 (703) 412-0900
EXPANSION JOINT MANUFACTURERS ASSOCIATION
25 North Broadway, Tarrytown,NY 10591
HEAT EXCHANGE INSTITUTE, INC.
1300Summer Ave., Cleveland,OH 44115 (216) 241-7333
I N T E R N A T I O N A LO N F E R E N C E F
B U I L D I N GF F I C I A L S
5 3 6 0 .orkman Mill Rd.
Whittier, CA 90601 (310) 699-0541
THE NATIONALBOARDOF BOILERANDPRESSUREVESSELINSPECTORS1055CrupperAve.,ColumbusOH43229 (614)888-8320
NATIONAL FIRE PROTECTION ASSOCIATION
P.O. Box 9101, BatteryrnarchPark
@incy, MA 02269 (617) 770-3000 (800) 344-3555
O C C U P A T I O N A LA F E T YN D
H E A L T HD M I N I S T R A T I O N
2 0 0onstitutionAvenue,N.W.Washington,D.C.20210 (800)344-3555
S T E E LA N KN S T I T U T E
5 7 0akwoodRd.,LakeZurich,IL60047 (708)438-TANK
STEEL STRUCTURES PAINTING COUNCIL
40 24th Street,6th Floor, Pittsburgh,PA 15222
Telephone: (412) 687-1113 Fax: (412) 687-1153
TUBULAR EXCHANGER MANUFACTURERS
25North Broadway, Tarrytown,NY 10591 (914) 332-0040
U N D E R W R I T E R SA B O R A T O R I E S ,N C .
3 3 3fmgstenRoad,Northbrook,IL60062 (708)272-8800
UNITED STATES COAST GUARD2100 Second St. S.W., Washington,D.C. 20593 (202) 267-2967
U N I F O R MO I L E RN DR E S S U R E
V E S S E LA W SO C I E T Y
3 0 8 .vergreenRd., Suite240
Louisville,KY40243 (502)244-6029
A B B R E V
CGA
EJMA
ICBO
NBBI
NGPA
O
SSPC
UL
UBPVLS
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L OS PP C A S O
S PW P A P V
NAME&ADDRESS ABBREVIATI
UNITED STATES ENVIRONMENT PROTECTION AGENCY
401 M Street, S.W., Washington, D.C. 20460 USEPA
WELDING RESEARCH COUNCIL
345 East 47th St. WRc
New York, NY 10017 (212) 705-7956
AMERICAN SOCIETY OF CIVIL ENGINEERS
345 E. 47th Street ASCE
New York, NY 10017 (800) 548-2723
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LITERATURE
1. S. Timoshenko, Strength of AZateria/s, 1955, D. Van Nostrand Co.,New York.
2. S.P. Timoshenko, Theory of P[ates and Shells, 1959, A4cGraw-lYiiiBook Co., New York.
3. R.J. Roark and W Y F f S a S 5th Ed.1975,McGraw-Hill Book Co., New York.
4. K.K. Mahajan, Design of Process Equipment-2nd Ed. 1985, PressureVesselHandbook Publishing, Inc., Tulsa, OK.
5. L.E. Brownell and R.H. Young, Process E D VD 1 John Wiley and Sons, New York. (Out of Print)
. 6. M.B. Bickel and C. Ruiz, Pressure VesselDesign and Analysis, 1967,Macmillan Publishing Co. Inc., New York.
7. H.H. Bednar, Pressure Vessel Design Handbook, 2nd Edition, 1986,VanNostrandReinholdCo., New York
8. S.S. Gill, The Stress Anaiysis of Pressure Vesselsand Pressure VesselComponents, 1970,
9. J.F. Harvey, Theory and Design of Modern Pressure Vessels2nd Ed.1974,Van Nostrand Reinhold Co., New York.
10. Pressure Vessels and Piping: Design and Analysis (Collected Papers)Volume I. Analysis, 1972,ASME.
11. Pressure Vessels and Piping: Design and Analysis (Collected Papers)
Volume II. Components and Structural Dynamics, 1972, ASME.
12. Pressure Vessels and Piping: Design and Analysis (Collected Papers)Volume III. Materials and Fabrication, 1976, ASME.
13. W. Soedel, Vibrations of Shells and Plates, 1981,Marcel Dekker, Inc.,New York.
14. W. Flfigge, Stresses in Shells, 2nd Ed. 1973, Springer - Verlag, NewYork.
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15. R. Szilard, Theory and Analysis ofPlates, 1974, P r e n t i c e - H an
E n g l e w o o dl i f f s ,J .
16. M.Hetdnyi, BeamsonElasticFoundation,1974,TheUniversityofMichiganPress,AnnArbor.
1 7 .oundation Design Handbook (Collected 1968,HydrocarbonProcessing,Houston,TX.
18.Design of Flarzgesfor Full Face Gaskets, Bulletin No. 45, TaylorForge&Pipe Works,Chicago,IL.
19.M.L.Betterley,Sheet Metal Drafting,1961,McGraw-HillBookCo., Inc.,New York
20, B. F. Forman:PressureVesselComputerPrograms,1995,PressureVesselHandbookPublishing,Inc.,Tulsa,OK.
21. M. H. Jawad & J. R. Farr, Structural Analysis and Design of ProcessEquipment, 1984, JohnWiley& Sons,NewYork.
22. Kohan,AnthonyLawrence,PressureVesselSystems, 1987,McGraw-HillBookCompany,NewYork,NY.
23. M o s s ,e n n i s. ,ressure Vessel Design Manual, 1987, GulfPublishingCo.,Houston,TX.
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4
SCOVERED BY THE WORK(S) LISTED UNDER LITERATURE
( T h eu m b e r se f e r oh eo r k ( s )e a l i n gi thu b j e c
B e n d i n g fy l i n d r i c a lh e l l s , — 1 4
B e n d s ,n a l y s i s fmooth,—6BoltedJoints,—9
BrittleFracture,LowStress,—6Buckling,—6ofFlatandCurvedPlates- Formulas,—3BucklingofShells,—6
CastIronPressureVessels,—9CodesofVariousCountries,—24Collapse,FatigueandIncremental,—6CompositeMaterials,—12ComputerAnalysisofPressureVessels,—8ConcreteorPressureVessels,—12Cone,ConicalSectionwhenHalfApex
AngleisGreaterhan30°,—7ConicalHeadsandReducers,—6Corrosion,—CorrosionResistantMaterials,—12Cracks,Developmentf,—6CreepEffects,—8Cylindricalhells,Analysisof,—6DeadLoads,—7DeformationsnPressureVessels,—3DesignofFlanges,—4
Rectangularanks,—4TallStacks,—4
TallTowers,—7Discontinuitytresses,—7, 9Division2ofASMECodeComparisontoDivision1,—4DynamicStability,—11DynamicndTemperaturetress,
Formulas,—3EarthquakeLoads,—7, 24EconomicsfDesignandConstruction,—9ElasticStability,—8
PlatesandShells- Formulas,—3ElasticStressAnalysis,—6ElevatedTemperatureffects,—10EllipticalOpening,StressConcentration,—9Expansionoints,FlangedandFlued,—4
PipeSegment,—4ExternalLoads,—10,24ExternalPressure;StressAnalysis,—8Fatigue,—9, 10,12FatigueandincrementalCollapse,—6Filament-WoundressureVessels,—FlangeDesign,—4
FlangeDesign&Analysis,—8FlangedandFluedExpansionoints,—4FlangesandClosures,—1,24
FlangeswithFullFaceGasket—21FlatClosurePlate,—6, 24FlatPlates- Formulas,—3
Stressesn.,—9FloatingHeads,StressAnalysisof,—4FoundationDesign,—20Fracture,—6FractureMechanics,—0FracturePropertiesofMaterials,—12Heads,StressAnalysisof—8, 11,24HeatExchangers,hellandTube,—4, 24HighTemperatureMaterials,—12HubFlanges,Rotationof,—4HydrogenEmbrittlement,—12LegSupportorVerticalVessels,—4LigamentStresses,Analysisof,—8LimitAnalysisandPlasticity,—0LobedPressureVessels,—9LocalLoading,StressAnalysiso~—8, 11LocalStressesnVessels,—7,23LowStressBrittleFracture,—LowTemperatureMaterials,—12LugSupportorVerticalVessels,—4
MaterialsorVessels,—6,7,9,24MembraneStresses,—,9MitredBends,Analysisof,—6, 8ModularConstruction,—9Non-BoltedClosures,—9Nozzles,—1,24Nozzles,ntersectiontressAnalysis,—8Nozzles,StressesnVesselsExertedby,— 15
16,17NozzleThermalSleeves,—9ObliqueNozzles,—PerforatedPlatesandShells,—11PipeBends,StressAnalysiso~—8PipeSegmentExpansionoints,—4PipeSupportsat Intervals Formulas,—3PipeLoads,—7PipingSystems,StressAnalysisof,—6, 11Plasticity,—10PlasticCollapse,—Plates,TheoryandAnalysisof,—18PrestressedConcreteVessels,—9Rectangularanks,Designofi—4
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S U B J E C T Sc a z f h u e d )
R e i n f o r c e m e n t fp e n i n g s , — 7 , 4
R i n gu p p o ~ — 2 6
R o t a t i o n fu bl a n g e s , — 4
S a d d l e ,e s i g n~ — 7 , 4
S e i s m i cn a l y s i s , —1SelectionofMaterials,—6
ShallowShells,—14SheetMetalDrafting,—22ShellandTubeHeatExchangers,—ShellsofRevolution,Analysisof,—6, 24SlidingSupportsorHorizontalnd
VerticalVessels,—7SphericalShells,Analysisof,—6StressandStrainDueto Pressureonor
BetweenElasticBodies- Formulas,—3StressConcentration,—9StressesnHorizontalVessels
SupportedbyTwoSaddles(Zick),—7StressesnFlatPlates,—9StressesnVessels,—8,14,24
Formul~—3Stacks,DesignsofTall,—4StructuralDynamics,—11SupportofVesselsbyLegs,—4, 7
S u p p o r t fe s s e lL u g s
S u p p o r tugs,StressesExertedinVesselsby,— 24
TallStacks,Designof,—4, 24TallTowers,Vibrationof,—4Tanks,DesignofRectangular,—4
Temperature,ffectsofElevated,—10TemperaturetressesFormulas,—3ThermalStresses,—7,9ThickCylinder,—ThickShells,Anslysisof—6TubeSheetDesign,Fixed,—4VerticalVesselsSupportedyLugs,—4Vibration,—
AnalysisofTallTowers,—4InducedbyFlow,—11
WeldDesign,—7
WeldedJoints,Designof,—6,9Welding,—12Wind-InducedeflectionfTowers,—7Wind-InducedibrationofTowers,—7WindLoads,—7, 24
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FINITIONS
— T h ee m o v a l fu r f a c ea t e r i a lf r o mn yo l i dh r o u g hh er i c t i o n a lc t i o n fa n o t h e ro l i d ,l i q u i d , rg a s ro m b i n a t i o nt h e r e o f .
Pressure—Thepressureabovetheabsolutezerovalueof pressurethat theoretical-ly obtainsin emptyspaceor at the absolutezeroof temperate, asdistinguishedromgagepressure.
— A n y fl a r g eu m b e r fu b s t a n c e sh a v i n ge t a l l i cr o p e r t i e sn do n s i s t i n g ft w o ro r el e m e n t s ;i t he wx c e p t i o n s ,h ec o m p o n e n t sr es u a l l ye t a l l i cl e m e n t s .
— Ai nn t e r s e c t i n gl a n e se t w e e ne r o a
b u t to i n t )n d 0e g . ao r n e ro i n t ) .C o d eU A - 6 0 )
— A v a l v e ,s u a l l y fh el o b et y p e , nh i c hh en l e tn du t l e tr e ti g h ta n g l e s .
—
— A g r o u p fe l d i n gr o c e s s e sw h e r e i no a l e s c e n c e sr o d u c e d ye a t i n gw i t h nl e c t r i cr c ,i t h ri t h o u th e
a p p l i c a t i o n fr e s s u r en di t h ri t h o u th eu s e fi l l e re t a l .
— W e lm e n th i ce r f o r hn t
e q u i p m e n tam ae
l o a d i n gnI n l o a d it o
— Materialbacking up the joduringweldingto facilobtaininga soundw
at ho oB a c kta bi a f oa s t
— T he nan e g l i g i b l el a s t ie f o r m aa od u c t i l ee t a l
— M a t e r i ab bw h e nh eh or a c t i cp ed i s t o r t i o ne f o ra i l u
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— A w eo im
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l y ip p r o xs a l aj o i np r ec o n s t r uc o m p le n ef u s iT y pb ueS i n gD oJ o i nq uF ue n e tP e n e t r aB uo iwb a c kt r
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— T h a to i n t nh el a n e fh er e aa b o u tn yx i sh r o u g hh i c hh eo m e n t ft h er e a se r o ; to i n c i d e si t hh ee n t e r fg r a v i t y fh er e aa t e r i a l i z e d s nn f i n i t e l yt h i no m o g e n e o u sn dn i f o r ml a t e .
— T w oi n e s fi n t e r m i t t e n ti l l e te l d i n g n
ma t e e ra po i n t , nh i c ht h en c r e m e n t s fe l d i n g no n ei n er e
I dbI opposite to
other line.
— Ad e s i g n e d ol l o wf l u i d op a s sh r o u g h nn ei r e c-
a p p r o x i m a t e l yt h o s e nh e
I 1 1
tion o n l y .c o m m o ny p eh a sp l a t e ou s p e n d e d
t h a th ee v e r s el o wi d >ravity in forcing the plateagainst a seat, shutting o f fr e v e r s el o w .
— O n ee t h o d fe m o v i n gu r f a c ed e f e c t su c h sm a l li s s u r e s re a m sr o mp a r t i a l l yo r k e de t a l . fo tl i m i n a t e d ,h ed e f e c t si g h ta r r yh r o u g h oh ei n i s h e dm a t e r i a l . fh ee f e c t sr ee m o v e d ye a n so fg a so r c hh ee r md e s e a m i n g ” rs c a r f -i n gi ss e d .
—A
aa
— h a sc c u r -r e dv e rh en t i r ea s e - m e t a lu r f a c e sx -p o s e s do re l d i n g .
— Penetration h i c hx -tended completely through the joint.
Corner — A w e l d e do i n t th eu n c t i o no fw oa r t so c a t e dp p r o x i m a t e l y ti g h ta n g l e s oa c ht h e r .
— e r o s i o n yo t i o n l e s so ro v i n gg e n t s .r a d u a le s t r u c t i o n fm e t a l rl l o yu e oh e m i c a lr o c e s s e su c ha sx i d a t i o n rh ec t i o n fc h e m i c a lg e n t .
— Damageoor failureofa
m e t a lu eo r r o s io m bt u a t i n ga t i g u et r e s s e
— A threaded sleeve u sc ot w oi p e s .h ea vn t e rh rbe n d s oix t e r n ah r e ai
— i d e f ou n d e ro n s t a n te c r e a st rtu s u a l l ys e di te f e r et e hm e t a l sn d e re n s i oe l e v ae m pT h ei m i l a ri e l d i na m a t e np r e s s i v et r e ss u a la ll af l o w .
— T he ant ag i v e ni n dn og i va t ect i o n fe r v i c e ,h ai le nm ef o re r v i c ee f o rh ni om a y oh i sr o d u c ix c e b
c a u s i n gr e e pc c ua e x c eb ya u s i n ga t i g ur a c k ix c eh a r d e n i n g ,u p t u r
— C h ati nh ei m e n s i o na b or o ds
i f t es eoe ntor f oo m p r
a n de t r u s i o nis s u ce f o r m a td i s a
r e m o v a lt r e s se r m a ne f os u c he f o r m a t i o nr e m ar es t r e s s .
— T hr e s ssdm i n i n gh ei n i m ue r m i s sh ip h y s i c a lh a r a c t e r i s t i c st hi f ft h ee s s e l .C o dA - 6
— Tt e m p e r a t u r et h r o u ghh i c kxu n d e rp e r a t i n go n d i t i os i d e r e d .C o dG - 2 0
— A s os t r e s s rt r a in t e n s i f i c a th fr e l a t i v e l ya r go r t i oa s t r u ch as i g n i f i c a n tf f e chv e rt rsp a t t e r n rht r u c t ua w h oxo fr o s st r u c t u r a li s c o n t i n u ies h e l ln dl a n g e - t o - s h e lu n c t io zj u n c t i o n se t w e eh e ld i f f ei at h i c k n e s s e s .
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— A s o u r c e fs t r e s s rt r a i nn t e n s i f i c a t i o nh i c hf f e c t sr e l a t i v e l ym a l lo l u m e fa t e r i a ln do e so th a v es i g n i f i c a n tf f e c t nh ev e r a l lt r e s s rs t r a i na t t e r n r nh et r u c t u r e sw h o l e .E x a m p l e sr em a l li l l e ta d i i ,m a l l
a t t a c h m e n t s ,n da r t i a le n e t r a t i o ne l d s .
— A b u t to i n tw e l d e dr o mo t hi d e .
— Aw h i c hh ev e r l a p p e dd g e so fh ee m b e r s o eo i n e d? Aa r ee l d e dl o n gh ed g e so fo t he m b e r s .
— T h eb i l i t y fm e t a l ot r e t c ha n de c o m ee r m a n e n t l ye f o r m e di t h o u tb r e a k i n g rr a c k i n g .u c t i l i t y se a s u r e d yt h ee r c e n t a g ee d u c t i o n nr e an de r c e n -t a g el o n g a t i o n fe s ta r .
— A l o a d ro m p o n e n t fl o a dn o r m a l og i v e nr o s se c t i o n fm e m b e r se c c e n t r i ci t he s p e c t oh a te c t i o n f to e sn o tc th r o u g hh ee n t r o i d .h ee r p e n -d i c u l a ri s t a n c er o mh ei n e fc t i o n fh el o a d oi t h e rr i n c i p a le n t r a lx i s sh ec c e n -t r i c i t yi t he s p e c t oh a tx i s .
a WeldedJoint—Theefficiencyof a weldedjoint is expressedas a numerical
quantityandi ss e d nh ee s i g n fj o i n t sm u l t i p l i e r fh ep p r o p r i a t el l o w a b l et r e s sv a l u e .C o d e
— C a p a b l e fu s t a i n i n gt r e s su s e d
t oe n o t eo n f o r m i t y oh ea w ft r e s s - s t r a i np r o p o r t i o n a l i t y . nl a s t i ct r e s s rl a s t i cs t r a i n ss t r e s s rt r a i ni t h i nh el a s t i cl i m i t .
T h ee a s tt r e s sh a ti l la u s ep e r m a n e n te t .
— A w e l d i n grocess inw h i c ho n s u m a b l el e c t r o d e sr ee dn t oj o i n to n t a i n i n gl u x ;h eu r r e n te l t sh e
a n dh e
m e t a l oo rc o n t i n u o at w e e nh eo i na c esp r ec o n s t r u c t i o nh ea ct e na c c e s s i b l e .lu te lo ie l ew e l d i n gh a lx a m i na d i o g r at h e i ru l le n g t hC oW -
— Be n d u r a n c ei m ia m a t e ru st h ea x i m u mt r e sh ir ei n d e f i n i t e l ya r gu m bt i id u c i n gr a c t u r e
— A t ta mf a c ee s u l t i n gr oho m bfe r o s i o nno r r o s i o
— Aj o ih rp o s e soo iia bl o n g i t u d i n a lx p a n s it i t
h e a t .F a c t o r fa f e tT ha ttw o u l da u s ea i l u ra m e ms tt oh eo a dh ai m p o spi s e
— T e n d e n cm a t e rf ru n d e ra n ye p e t i t i oa s t ro n sl e s sh a nhl t i m at a tt r e
F i b e rt r e s sA t e rso n vd e n o t eh eo n g i t u d i ne n sc o ms t r e s s nb e ao t he mub e n d i n g .o m e t i msd es t r e s s tho i np o i noe
t h ee u t r a lx i su hep r e f e r a b lohu p
c o n v e n i e n c e ,ho n g i t u dl ef i l a m e n t sh i cb e a mc o m p o s e dra l l ei b e
— A w e la p p r o xa n g u lr ei n wu r fpm a t er i n
t h r o a
%
e a ct hT hf f e ct r e sarea of a fillet weld
a s s u mb t pl e
t hh ria n he nt wF i l le pb t h ei m e
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T h eh r o a ti m e n s i o n f nq u a le g g e di l l e tw e l d s. 7 0 7i m e sh ee gi m e n s i o n ,F i l l e te l d sa y em p l o y e d st r e n g t he l d sf o rr e s s u r ea r t s fe s s e l si t h i nh ei m i t a -t i o n si v e n na b l eW - 1 2 fh eo d e .h ea l l o w a b l eo a d ni l l e te l d sh a l lq u a lh ep r o d u c t fh ee l dr e ab a s e d ni n i m u m
l e gi m e n s i o n ) ,h el l o w a b l et r e s sa l u e nt e n s i o n fh ea t e r i a le i n ge l d e d ,n dj o i n tf f i c i e n c y f5 0 7 0 .C o d eW - 1 8 )h ea l l o w a b l et r e s sa l u e so ri l l e te l d st t a c h i n gn o z z l e sn dh e i re i n f o r c e m e n t s oe s s e l sr e( i nh e a r )9 9 ’ 0 ft r e s sa l u eo rh ee s s e lm a t e r i a l .C o d eU W - 1 5 )
—
a w e l d .
FullFillet — A f i l l e te l dh o s ei z e se q u a l oh eh i c k n e s s fh eh i n n e re m b e rj o i n e d .
— T h em o u n t yh i c hh et o t a lb s o l u t er e s s u r ex c e e d sh em b i e n tt -m o s p h e r i cr e s s u r e .
G a l v a n i z i n gA p p l y i n gc o a t i n g fi n c of e r r o u sr t i c l e s .p p l i c a t i o na y e yo ti pp r o c e s s rl e c t r o l y s i s .
G a se l d i n gA g r o u p fe l d i n gr o c e s s e sw h e r e i no a l e s c e n c e sr o d u c e d ye a t i n gw i t hg a sl a m ei t h ri t h o u tp p l i c a t i o n fp r e s s u r en di t h ri t h o u th es e fi l l e rm e t a l .
G a t eAa
S u c hv a l v e sa v ee s s
— O n ei t hs o m e w h a tl o b eh a p e do d yw i t hm a n u a l l ya i s e d rl o w e r e di s ch i c hh e nl o s e dr e s t s ns e a t o s or e v e n tp a s s a g e ff l u i d .
t ,I I
( f b
&— P r e c i p i t a t i o n fa r b o n n
t h eo r m fr a p h i t e tr a i no u n d a r i e s , sc -c u r s fa r b o nt e e l s ne r v i c eo n gn o u g ha b o v e7 5 ° F ,n d- M Qt e e lb o v e7 5 ” F .
i r o na r b i d ec e m e n trrF i n e - g r a i n e d ,l u m i n u m - k i l lt eb ea r t i c u l a r l yu s c e p t i bg r a p h i t
— A w e lad e pf i l le ta g r
j o i n eS t a n d ah ag rV U a n
S t r ea lw e l dt e n sis h e a0 0tv a l uv e saj o i nt eUW-15
— T h ene n c l o s ua c y l i
s h e l l .h eo so m m o ns yha r ee m i s p h e r i c a l ,l l i p s o il ad i s h e dt o r i s p h e r i c a l ) ,o n i l
— H e ar e ap ep e r f o r m e di t h ep r o dh am e c h a n i c a lr o p e r t i et ha t tr e s t o r et sa x i m uo r r oe sT h e r er eh r er i n c i py phm e n t ;n n e a l i n g ,o r m a l i z io sh e a tr e a t m e n t .
— S t eo n t ap e r c e n t a g e sl e m e nt hha
— Low ductility o am e t a lu etb s o r p t ih y dw h i c ha yc c uu r i ne l e c t rro ru r i n gl e a n i n gl sn oat l e n e s s .
H y d r o s t a t i ce sT ho m p lew i t ha t e rh a lu b j e ca t erw h i c h sq u a1 /i maa l l o w a b l eo r k i nr e s s ub m at h ee s s e l1i m ehe sr ea g r e e m e n te t w e ehs at u r e r .C o d eG - 9 9
— F o r cen rmm a t e r i a l ys u d d e n lp p lo
— D e t e r m i n a t it e
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r e s i s t a n c e fm a t e r i a l or e a k i n g ym p a c t ,u n d e re n d i n g ,e n s i l en do r s i o no a d s ;h ee n e r g yb s o r b e d se a s u r e d yr e a k i n gh em a t e r i a l ys i n g l el o w .
— A w e l dh o s eo n t i n u i t yi sr o k e n yn w e l d e dp a c e s .
—
i nl li r e c t i o n s .
— A n u m e r i c a la l u ex p r e s s -e d sh ea t i o fh et r e n g t h fr i v e t e d ,w e l d e d , rr a z e do i n t oh et r e n g t h fh ep a r e n te t a l .
— T h ei n i m u me p t h
g r o o v ee l dx t e n d sr o mt sa c en t oj o i n t ,e x c l u s i v e fe i n f o r c e m e n t .
K i l l e dt e e lT h o r o u g h l ye o x i d i z e dt e e l ,( f o rx a m p l e , yd d i t i o n fl u m i n u m rs i l i c o n ) , nh i c hh ee a c t i o ne t w e e na r b o na n dx y g e nu r i n go l i d i f i c a t i o n su p p r e s s e d .T h i sy p e ft e e la so r en i f o r mh e m i c a lc o m p o s i t i o nn dr o p e r t i e s so m p a r e d oo t h e ry p e s .
J o i n tA w e l d e do i n t nh i c hw oo v e r l a p p i n ge t a la r t sr ej o i n e d ye a n s ff i l l e t ,
p l u g rl o te l d s .
L a m i n a t e de s s e lA v e s s e la v i n gs h e l lh i c h sa d e p fw o ro r ee p a r a t el a y e r s .C o d eA - 6 0 )
L e gS e en d e ri l l e te l d .
L e t h a lu b s t a n c e sP o i s o n o u sa s e s ri -q u i d s fu c hn a t u r eh a tv e r ym a l lm o u n to fh ea s r fh ea p o r fh ei q u i d sd a n g e r o u s oi f eh e nn h a l e d . t sh ee s p o n -s i b i l i t y fh es e r fh ee s s e l oe t e r m i n et h a th ea s ri q u i d se t h a l .C o d eW - 2 )
L i g a m e n tT h ee c t i o n fo l i da t e r i a l nt u b eh e e t rh e l le t w e e nd j a c e n to l e s .
L i n e de s s e lA a
v e s s e la l l .C o dA - 6
Ap r
f o rh ee t e c t i od i s c o n t i n ts u r f a c ee r r o uno n f eaw h i c hro n p o r o uy p ii s c od e t e c t a b l eh ie t hrl a p s ,o l dh u t sna m i n aU A - 6 0 )
— L o a d i nl o a ev a r i o u so r c e sho a d ib c oi ne s i g n i n gv e s s en t eep r e s s u r e ,m p a co a de it vs u p e r i m p o s e do a di a rl o c a lo a df f e ct e m p e rr( C o d eG - 2 2
— A1
o nm ot o
a l l o y e do m p o n e n t s( lm a n g a n e s e ,4 Vi c k2 0h r0 . 6 ’ 7 0o l y b d e n u m ,n0 . 2a n
m e t h o de t e c t i nr a cit i n u i t i e se ahu r fim a g n e t i cl l o y
M a l l e a b l er oi re a tr e d u c etr i t t l e n e shr o nm a t e r i a lt r e t cs ox tt sg r e a t e rh o c k
— A d o c uwt h ea t e r i a la n u f a c t ue cro fe s t sx a m i n a t i o n se p at r eq u i r e dha s ia t e rp e c ir e p o r t e d .C o dA - 6
— T m
i m u mn it r e se r m i s sspecimaterialthat m au st em u l a si v eho dU G
— Tm a x i m u ma gr e s s ue r m ito fc o m p l e t e de s si p e rf o rd e s i g n a t e de m p e r a trb a s e d nhe a k el e mt vi n go r m i n a lh i c k n e sx c la
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— T h eo m p o n e n t fo r m a ls t r e s sh i c h sn i f o r m l yi s t r i b u t e dn dq u a lt oh ev e r a g ea l u e ft r e s sc r o s sh et h i c k n e s s fh ee c t i o nn d e ro n s i d e r a t i o n .
—
h’hhshls M o d u l u s )T h ea t e fh a n g e fn i te n s i l e ro m -p r e s s i v et r e s si t he s p e c t on i te n s i l e rc o m p r e s s i v et r a i no rh eo n d i t i o n fn i a x i a ls t r e s si t h i nh er o p o r t i o n a li m i t .o ro s t ,b u to tl la t e r i a l s ,h eo d u l u s fl a s t i c i t yi sh ea m eo re n s i o nn do m p r e s s i o n .o rn o n i s o t r o p i ca t e r i a l su c h so o d , t sn e c e s s a r y oi s t i n g u i s he t w e e nh eo d u l i fe l a s t i c i t y ni f f e r e n ti r e c t i o n s .
— T h ea t e fh a n g e fn i th e a rs t r e s si t he s p e c t on i th e a rt r a i n ,o rh ec o n d i t i o n fu r eh e a ri t h i nh er o p o r t i o n a ll i m i t .
M o m e n t f
Q
+
—
T h eo m e n t fn e r t i a fa nr e ai t he s p e c t o naxis is the sum of thep r o d u c t sb t a i n e d yu l t i -p l y i n ga c hl e m e n t fh e
i
ua r e a yh equare of itsrdistance from the axis.
The Moment of Inertia (I)
for thin walled cylinderabout its transverse axis; 1 = n r’t
where r = mean radius of cylinder
t = wall thickness
N e e d l ea l v eA a
d i s k .h ea p e r i n go i n te r m i t si n er a d u a -t i o n fh ep e n i n g .
— T h ei n e fe r oi b e rt r e s s na n yi v e ne c t i o n fm e m b e ru b j e c t oe n d -i n g ; t sh ei n eo r m e d yh en t e r s e c t i o n ft h ee u t r a lu r f a c en dh ee c t i o n .
— T h eo n g i t u d i n a lu r f a c e fz e r oi b e rt r e s s nm e m b e ru b j e c t oe n d -
— A t u b u l ai pi t ts uhe d no t hn dnn di n cl eP i p ev e rn c h eo nr e g ac p
— A groupof weldinp r o c e s s e sh i chem aip r e s s u r e .
— H e a t ia ba b o v eh er i t i c ae m p e r a tor o o me m p e r a t u r es t iir o vom a d e no r m a l i z i n goo n t r oo as l o w e ra t e ,uh eho o lp r ot h ee r ms en n e a l i
— A m e a st rt i o n nt r e n g ta m e ta tp r e s e n c en o t c h
— T ha tm a xs i o n a lo a de q u i r ef r a cn os p e c i m e nt hr i g ii ns e c t i o n a lr e a
— A t e n s ic r eea mt oe t e r m i n ehf f ea s u r o
— T hr e st to fp r e s s u r ee s sw hn oo p e r a t e s .h a lox c a
a l l o w a b l eo r k i nr e s si uk e p t ts u i t a b le ve le tp r e s s u r ee l i e v i ne v i cp r eq u e n tp e n i n g .C o dA -
— Tt e m p e r a t u r eh ai lm a i n tm e t a l fha rt he seo
f o rh ep e c i f i ep e r a tt eU G - 2 0nG - 2 3 )C oA -
or s c a l im e tc h
t e m p e r a t u r e snc c ea ic cb o nt e e l sr ois t en e g l1 0 0 0 ” F .h r o m i un c r e ac aeo fa r b o nt e e le c r e axr e s i s t a n c ea k eu s t e n it a is u i t a b l eop e r a t ie m p e r1 5 0 0 ” F .
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— T h eu m b e r fe l d i n gr o -c e d u r e - g r o u p .h el a s s i f i c a t i o n fa t e r i a l sb a s e d na r d e n a b i l i t yh a r a c t e r i s t i cn dh ep u r p o s e fr o u p i n g s oe d u c eh eu m b e r fw e l dr o c e d u r e s .C o d ee c t i o nX )A l la r b o nt e e la t e r i a li s t e d nh eo d e
( w i t hh ex c e p t i o n fA - 6 1 2 )r el a s s i f i e d sP - N o . .
— T h ee l de t a le p o s i t e d yn er o -g r e s s i o nl o n gh ex i s fw e l d .
— T h er o p e r t y fu s t a i n i n gp -p r e c i a b l ev i s i b l e oh ey e )e r m a n e n te f o r -m a t i o ni t h o u tu p t u r e .h ee r m sl s os e dt oe n o t eh er o p e r t y fi e l d i n g rl o w i n gu n d e rt e a d yo a d .
PlugValve— Onewitha short sectionof aconeor taperedplugthroughwhicha holeiscut so that fluid can flowthroughwhentheholelinesu pi t hh en l e tn du t l e t ,u th e nt h el u g so t a t e d0 ° ,l o w sl o c k e d .
— A w e l da d e nc i r c u l a ro l ei nn ee m b e r fl a pj o i n t .h eo l ea y ra y
I n o t ea r t i a l l y ro m p -
E313m e t a l .
p l e t e l yi l l e di t he l d
I
I
F o rr e s s u r ee s s e lo n -
= == s t r u c t i o nl u ge l d sa y eu s e d na po i n t s ne i n -f o r c e m e n t sr o u n dp e n -i n g s , no nr e s s u r et r u c -
t u r a lt t a c h m e n t sC o d eW - 1 7 )n do rt -t a c h m e n t fe a d si t he r t a i ne s t r i c t i o n s .( C o d ea b l eW - 1 2 )
— T h eo m p l e t e de s s e la yb ee s t e d yi rr e s s u r e ni e u fy d r o s t a t i ct e s th e nh ee s s e la n n o ta f e l y ei l l e di t hw a t e r rh er a c e s fe s t i n gi q u i da n n o t e
t o l e r a t e di ne r t a i ne r v i c e s ) .h en e u m a t i ct e s tr e s s u r eh a l l e. 2 5i m e sh ea x i m u ma l l o w a b l eo r k i n gr e s s u r e o et a m p e d nt h ee s s e l .C o d eG - 1 O O )
Ratio—Theratioof lateralunhstrainto longitudinalnitstrain,underthe
c o n d i t i o nn i f o rnn i ao n gs t r e s si t h i nhr o p o r t i oi m
— G ao c k ev om( C o d eA - 6 0 )
— H e av
t os u f f i c i e n te m p e r a tr er e s i d u a lt r e s s eh i em e c h a n i c a lr e a t m e nne l dP r e s s u r ee s s e lna rhp oh e a tr e a t e d :W h e nhe s s e lrc o ns u b s t a n c e s ,C o dW -U n f i r e dt e a mo i l eU WP r e s s u r ee s s e lna ru bd ii n gh e nhh i c k n ew e lo5 / 8n .U W - 2W h e nh ea r b oP - Ns t at h i c k n e s sx c e e dMi nw e lo na n dt t a c h m e n t ss eo a Ce x c e p t i o n s ) .
— H e ap p lb ant oe l d i n gp e r a t i o n
— A v a h ep r e s s u r ee y o ns p e c i fi eu p o ne t u r no r mp e r ao n
— A m e to n tec y l i n d r i c a lp h e r o ia p aw id i n ga r i o u so a d i n g
— A o w ec e s s e sh e r e i nhe lc o m pu op r e s s u r e .
P r i m a r y—A n o r mt ra ss t r e s s
a
A a
p r i m a r yt r e s sr i m ae m btd i v i d e dn tg e n e r anl oa tg e n e r a lr i m a r ye m b r at ro ws oi s t r i b u t e dht r u c thr e d i s t r i b u t i o no ac c ua r ey i e l d i n g .x a m p l ep r i mt r
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a a
s h e l lu e on t e r n a lr e s s u r e r od i s t r i b u t e di v eo a d s ;e n d i n gt r e s s nh ec e n t r a lo r t i o n ff l a te a d
– A n n e a i i n g nu s t e n i t i c
f e r r o u sl l o y ye a t i n go l l o w e d yu e n c h i n gf r o mo l u t i o ne m p e r a t u r e s .i q u i d ss e do rq u e n c h i n gr ei i ,u s e da l t ra t e r ,n t ow h i c hm a t e r i a l sl u n g e d .
— T h er o c e s s fa s s i n gl e c -t r o n i ca d i a t i o n sh r o u g h nb j e c tn db t a i n -i n gr e c o r d ft so u n d n e s sp o ns e n s i t i z e df i l m .C o d eA - 6 0 )
R a d i u s fT h ea d i u s fy r a t i o no f nr e ai t he s p e c t og i v e nx i s sh es q u a r eo o t fh eu a n t i t yb t a i n e d y
d i v i d i n gh eo m e n t fn e r t i a fh er e ai t hr e s p e c t oh a tx i s yh er e a .
L e n g t h sA t e r mn d i c a t i n g os p e c i f i e di n i m u m ra x i m u me n g t hi t hl e n g t h sa i l i n gi t h i nh ea n g en d i c a t e d .
R e f r a c t o r yA m a t e r i a l fe r yi g he i t i n gp o i n ti t hr o p e r t i e sh a ta k e tu i t a b i eo rs u c hs e s si g h - t e m p e r a t u r ei n i n g .
R e s i d u a lS t r e s semaining in a struc-
ture or member as a result of thermal or
mechanicaltreatment, or both.
R e s i s t a n c ee l d i n gA p r e s s u r ee l d i n gr o -c e s sh e r e i nh ee a t sr o d u c e d yh er e s i s t a n c e oh el o w f ni e c t r i cu r r e n t .
R o o t fT h eo t t o m fh ee l d .
S — A nr o nx i d eo r m e d nh eu r f a c eo fo tt e e l ,o m e t i m e s nh eo r m fa r g e
s h e e t sh i c ha l lf fh e nh eh e e t so i l e d .
S c a r fE d g er e p a r a t i o n ;r e p a r i n gh eo n -t o u r nh ed g e fm e m b e ro re l d i n g .
S e a le i dS e a le i ds e dr i m a r i l y ob t a i nt i g h t n e s s .
S e c o n d a r yt r e s sA a
a
t e r i s t i c fs e c o n d a r yt r et hi s e l f -L o c a li e i d i n gni n oi s t o r tac o n d i t i o n sh i ca u sht ro cf a i l u r er o mnp p l i c a t it ht rn t be x p e c t e d .x a m p l e ss e c o n dt ret h e r m a lt r e s s ;e n d i nt r ea g rt r
d i s c o n t i n u i t y .
M o d u l u sT hee rtc r o s se c t i o nb e a mhectionmodulusw i t he s p e c ti t h er i n c ie nt h eo m e n tn e r t iie s ptd i v i d e d yhi s t a nr htm o s te m o t eo i nt he c t em o d u l u sa r g e le t e r m ils t r e n g t h fb e ag i va t e
S e c t io d uo at h ia i ly l ira b o utr a n s
4-+4 z = Pnt
w w h e= m eat c y l i
u t = w ah i ci
S h e l lS t r u c t u r al e m eae ns o m ep a c e .o st hh ee nt h ee v o l u t i o np l au rI nh ee r m i n o l o g yt h o htc y l i n d r i c a la rv e s sa s p h ei sa l l e dl s os p h e r i ch e
— T ho m p ost a n g e n t ohe p i a nr e f e r e
— A aw e l d i n g p r o c e s sh e r eo a l e s cp re d ye a t i n gi te l e c tec o v e r e de t al e c t r o
f i l l e retalisobtainedfromthe electrode.
S i n g l e - W e l d e du to iA b uoe dr o mn ei dn l y
S i n g i e - W e i d e dao iA lw h i c hh ev e r l a p p ed gt eb eo i n e dre i d el o dom e m b e r .
Size Weld—GrooveWeld:Thedepthofp e n e t r a t i o n .
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E q u a le gi l l e te l d :h e
L
l e ge n g t h fh ea r g e s ti s o s c e l e si g h t - t r i a n g l ew h i c ha n en s c r i b e d
k
w i t h i nh ei l l e te l dr o s s\\ s e c t i o n .\\ U n e q u a le gi l l e te l d :\\ T h ee ge n g t h fh ea r g e s t
r i g h tr i a n g l eh i c ha n e
i n s c r i b e di t h i nh ei l l e te l dr o s se c t i o n .
— A r e s u l t fh ec t i o n ff l u x no n -m e t a l l i co n s t i t u e n t s fp r o c e s s e dr e , r nt h ex i d i z e de t a l l i co n s t i t u e n t sh a tr eu n d e s i r a b l e .s u a l l yo n s i s t fo m b i n a t i o n so fc i dx i d e sn da s i cx i d e si t he u t r a lx -i d e sd d e d oi du s i b i l i t y .
— Theratioof thelengthofa uniformcolumnto the least radiusof gyra-
tionof thecrosssection.
— A w e l da
m4 b e r oh a to r t i o n fh es u r f a c e fh et h e re m -
+
b e rh i c h sx p o s e dt h r o u g hh eo l e .h eo l em a y ra yo t ei l l e dc o m p l e t e l yi t he l de t a l .
—T h ea t i o fh ee n s i t y f
m a t e r i a l oh ee n s i t y fo m et a n d a r dm a t e r i a l ,u c h sa t e r ts p e c i f i e dt e m p e r a t u r e ,o rx a m p l e ,° C r0 ° F . rf o rg a s e s )i r tt a n d a r do n d i t i o n s fr e s s u r ea n de m p e r a t u r e .
W e l d i n gE l e c t r i c - r e s i s t a n c ee l d i n g nw h i c hu s i o n si m i t e d os m a l lr e ai r e c t l yb e t w e e nh el e c t r o d ei p s .
– ( E l a s t i ct a b i l i t y )h es t r e n g t h fv e s s e l oe s i s tu c k l i n g rr i n k l -i n gu e ox i a lo m p r e s s i v et r e s s .h et a b i l i -
t y fv e s s e l se v e r e l yf f e c t e d yu t fr o u n d n e s s .
— T w ol i n e s fn t e r m i t t e n ti l l e te l d i n ~ nt e eo ra po i n t , nh i c hh en c r e m e n t s f
w e l d ios t a g g eie
L 1 t h ot ht
— T hr e s sl i qn o to v i n g ,g a i n she sad sl y
T h i sr e s s u r eh a lt a kno n s ii ne s i g n i n ge s s e l s
S t r a i nA no r c eh a n g ei mo fb o d y .s t r e ta a
s h o r t e n i n ga a nd i s t o r t i o ns t r a iotc o m m o n l ys eo n n o
— I n t e r n ao r cx e re i ta d j a c e n ta r tb o dp ta nm a g i n e dl a ns e p a r a
f o r c e sr ea r a l l et hl a tce dh e a rt r e s sh eho r ot h el a n eht r e sc a low h e nh eo r m at r ed i r eop a r t nh i c hc ti c a lompressive
w h e ni r e c tw rpo nh i c hc tc a l lensil e stress
— L o n g( m e r i d i os tC i r c u m f e r eh
R
s t r eS a nc a le( d i a p h r at v
S+
s e la vf ir e v o l u t
u B e n d it rS h et rD i s c o n t i nt raa b r uh at ho s h athevessel.
— A t h r e a d ea s t ei thw i t hh r e a d sn nb ot h r e a d e du le n g t hC oA -
— A a
p r o c e s sh e r e io a l e s c ep r oh e a t i n gi t hra re tbm e t a ll e c t r o d el e c t r ow e l d i n gh i e l d ea b l a ng rf u s i b l ea t e r i a lt ho rr enu s e dn di l l ee t ao b t a iret r o d en do m e t i m ers u p p l
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— A w e l da d e oo l da r t s fw e l d m e n t nr o p e rl i g n m e n tn t i lh ei n a lw e l d sr ea d e .
— A w e l d e do i n t th eu n c t i o n f
t w oartslocatedapproximatelyt rightanglesto eachotherin the formof a T.
— T h ea x i m u mt r e s sm a t e r i a lu b j e c t e d os t r e t c h i n go a da nw i t h s t a n di t h o u te a r i n g .
— d e v e l o p e d ym a t e r i a lb e a r i n ge n s i l eo a d .
— T r i a l or o v eh a th ee s s e l su i t a b l ef o rh ee s i g nr e s s u r e .S e ey d r o s t a t i ce s t ,n e u m a t i ce s t .
— T h ee q u i r e m e n t so re t e r -m i n i n gh ee s tr e s s u r ea s e d na l c u l a t i o n sa r eu t l i n e d nG - 9 9 ( C )o rh ey d r o s t a t i ct e s tn d nG - 1 0 0 ( b )o rh en e u m a t i ce s t .T h ea s i so ra l c u l a t e de s tr e s s u r e ni t h e ro fh e s ea r a g r a p h s sh ei g h e s te r m i s s i b l ei n t e r n a lr e s s u r e se t e r m i n e d yh ee s i g nf o r m u l a s ,o ra c hl e m e n t fh ee s s e ls i n gn o m i n a lh i c k n e s s e si t ho r r o s i o nl l o w a n c e si n c l u d e dn ds i n gh el l o w a b l et r e s sa l u e sf o rh ee m p e r a t u r e fh ee s t .C o d eA - 6 0 )
— T h ee v e l o p m e n t fy c l i ct h e r m a lr a d i e n t sr o d u c i n gi g hy c l i ch e r -m a lt r e s s e sn du b s e q u e n to c a lr a c k i n g fm a t e r i a l .
— A s e l f - b a l a n c i n gt r e s sr o -d u c e d yn o n u n i f o r mi s t r i b u t i o n ft e m p e r a t u r e r yi f f e r i n gh e r m a lo e f f i -c i e n t s fx p a n s i o n .h e r m a lt r e s s sd e v e l o p e d ns o l i do d yh e n e v e rv o l u m eo fa t e r i a l sr e v e n t e dr o ms s u m i n gh ei z ea n dh a p eh a t to r m a l l yh o u l dn d e rc h a n g e ne m p e r a t u r e .
1 .h er e q u i r e dh i c k n e s s ’ sh a to m -p u t e d yh eo r m u l a s nh i si v i s i o n ,e f o r ec o r r o s i o nl l o w a n c e sd d e ds e eG - 2 2 ) .
2 .h ed e s i g nh i c k n e s s ’ sh eu m fh er e q u i r e dh i c k n e s sn dh eo r r o s i o nl l o w a n c e
( S C CG - 2 5 ) .3 .h en o m i n ah i c k n et h
s e l e c t e do m m e r c i a l lv a i lsp l i e d oha n u f a c t u r em xd e s i g nh i c k n e s s .C o
— u n d ei l le
— F ol a ta xm i s s i b l en d e r t o l e r a n ct hm a0 . 0 1n .he s ih i cU G - 1 6 )T h ea n u f a c t u r i n gn d e r t o l ewt h i c k n e s se a d si p ni p e fb ea k e nn tc c o u n ec o m m e r c i a la lh i c k n ehu
— U n i v e r si lpr o l l e d oi d te r t iow tt h i c k n e s so r i z o n to l
(UT)—a nondestructivemeansfor locatingandidentifyingnternadiscontinuitisy detectingthe reflectionsheyproduceof a beamof ultrasonicvibration(CodeUA-60)
— A g r o oe l nbm e t a ld j a c e n th oa w ef i l l e d ye le t a l
— U n ie n s it rt et i o ne rn ie n g t hno m p r et h eh o r t e n i n gen ie n gnhi sh eh a n g en gr a d iel i n e sr i g i n a l l yi gn ge
— T hm o us t rua r e a .
Vessel — A
— A t e c h n i qd e p om e t a l nh i chl e c t ro s c is i d e oi d e
— A l o c a l i z eo a l e s cmd u c e d yu s i oi tw i t ho fm e t a l ,n di t
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— T h ee t a le s u l t i n gr o mh eu -s i o n fh ea s ee t a ln dh ei l l e re t a l .
— T h ee t a lo i n i n gr o c e s ss e d nm a k i n ge l d s .I nh eo n s t r u c t i o n fe s s e l sh ee l d i n gr o -c e s s e sr ee s t r i c t e d yh eo d eU W - 2 7 ) s
f o l l o w s :1 .h i e l d e de t a lr c ,u b m e r g e dr c ,a s
m e t a lr c ,a su n g s t e nr c ,l a s m ar c ,t o m i ch y d r o g e ne t a lr c ,x y f u e la se l d i n g ,l e c -t r o s l a g ,n dl e c t r o ne a m .
2 .r e s s u r ee l d i n gr o c e s s e s :l a s h ,n d u c -t i o n ,e s i s t a n c e ,r e s s u r eh e r m i t ,n dr e s s u r eg a s .
— T h ea t e r i a l s ,e t a i l e dm e t h o d sn dr a c t i c e sn v o l v e d nh er o d u c -t i o n fw e l d e do i n t .
R o dF i l l e re t a l , ni r e ro d
f o r m ,s e dh ae l dt h o s er ce l d i nr o c e s sh eet r o d eo e sou r n i she p o se
W r o u g h tr o nI r oe f ia p li np u d d l i n gu r n a c ei c h a r a c ttp r e s e n c e fb o up ees lr r e
m i x e di t hu rr onb occ a r b o n .
— T ho w et rw hi n c r e a s e si t h o un c r e as t rsp u r p o s e sm p o r t ad i s t i net h epper y i e lo i nh it tw h i c hh et r e s s - s t r a ii a gi eh o r i z o n t a l ,n ho wi eot h eo m e w h a to w enl mo nu n d e rh i c hhe t ao n t id eO n l yf e wa t e r i a lx h i bt r if o ro m ea t e r i a lhes o m e
a sy n o n y m o u si ti et r e n
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IN:
Abbreviations..........................:........466Abrasion............................................483Absolutepressure.............................483Accessopening,icknessof.....,........,40
Allowableoadonsaddle.................110Allowablepressure....................... 18-25Allowablepressure,langes...............28Allowabletressesfor
non-pressureparts ........................4 4 9A l l o w a n c e s fl a t ee n d i n g. . . . . . . . . . . . 2 3 6A l l o y.................................................4 8 3A n c h o ro l te s i g n....................... 7 7 - 8 4Anglejoint .........................................483Anglevalves ......................................366
definition......................................483Annealing........................................... 483API 650 tanks ....................................204
API 12Ftanks.................................... 203Appurtenances,
Preferredlocations .......................241Arcwelding .......................................483Areaof circles....................................300
Planes............................................258Areaof surface,
Cylindricalshellhead...................425ASMEflangedanddished
head,allowablepressure..........20-24Dimensionof m.....,........................ 335Externalpressure............................34
Internalpressure....................... 20-24Automaticwelding...........,.,...........,..483
Backing..............................................483Baseringdesign ............................ 79-83Beamformulas...................................455Bendallowances
of Steelphltc .................................236Bendingof pipeandtube ..................234Ilcnt pipe ....................... ..................... 280B o i l e rn dr e s s u r e
v e s s e la w s................................... 4 7 4
Boltedconnections...........................463
Bolts,weightof .................................4 1 2B r i t t l er a c t u r e.................................. 4 8 3B r i t t l e n e s s......................................... 4 8 3B u s h i n g........................................... . . 4 8 3B u t teld...........................................483
Capacitiesof fabrication....................232Carbonsteel, propertiesof ................186Centerof gravity................................452Centigrade,conversion
to Fahrenheit.................................444Ccntroidof an area ............................484Chainintermittent
IiIlcl Weld ......................................484
E
Checklist for inspectors...................255Checkvalves..................................... 367
Definition..................................... 484Chemicalplantpiping.......................
Chemicalresistanceof gaskets..................................... 224Metals........................................... 224paints........................................... 253
Chipping............................................ 484Circles,circumferences
andareasof, ................................ 300C i r c l e s ,ivisionof............................
Segments of ................................ 290Circularplate,weightof... ................ 404Circumferencesandareas
of c i r c l e s..................................... 300Circumferentialstress ......................... 14Clad vessel ........................................ 484Coderulesrelatedto
Services......................................, 181Thicknesses.................................
Codes ................................................. 470
Combinationof stresses...................... 69Combustibleliquids.......................... 184Commonerrors
Detailingvessels..........................Completefusion................................ 484Cone,allowablepressure,
Internal .................................... 20,24
Externalpressure........................... 36Frustrumof...,.......................,......276To cylinderreinforcement.......... 159Wallthicknessfor
internalpressure.................20,Conicalsection,
Allowablepressure..................20, 2E x t e r n a lr e s s u r e.......................... 3W a l lh i c k n e s s........................ 2 0
C o n s t r u c t i o n fC S S C I S ,‘ 3p a c i f i c a t i o n............................... 1 9
C o n t r a c t i o n fH o r i z o n t a le s s e l s........................ 9
C o n v e r s i o nd e c i m a l so fdegree ................................... 443Degreesto radains....................... 441Factors ......................................... 446Gallonsto liters ........................... 439Inchesto millimeters...................431Kilogramsto pounds...................438Liters to gallons........................... 439Millimetersto inches...................433Poundsper sq. in, to kilo-
gramspersq. centimeter......,.440Poundsto kilograms.................... 438Radiansto degrees ...................... 442
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Sq. feet tosq. meters..1................437Sq.meterstosq. feet ..............,....437
Cornerjoint ....................................... 484Corrosion...................................215,484
Fatigue .........................................484Corrosionresistantmatcrinls........,....2 2 2Creep.................................................. 484Couplings .......................................... 468
Definition..;.................................. 484Lengthof............................,,138,139Weightof .....................................413Wchling........................................ 361
Cylinders,.partialvolumeof..............,...418,421
CylindricalshellallowablePressure.................................... 18,22Areaof surface............................. 425
Externalpressure ........................... 32Thicknessfor internal
pressure............................... 18,22W e i g h t......................................... 3 7 5
D a m a g i n gt r e s s............................... 4 8 4Davit ..................................................312D e c i m a l s fdegree,
conversion....................................443Decimalsof an inch...........................426Decimalsof a foot ............................. 426Definitions......................................... 483Deflection............................................ 68
Deformation,strain ........................... 484Degreesto radians,conversion.........441Descriptionofmaterials.................... 192Designpressure,definition...............484
internal........................................... 15external .......................................... 31
Designspecification.......................... 195steel structures............................. 447tcmpcraturc.................................. 484tall towers ....................................... 52weldedjoints ........................1 7 4 ,48
D e t a i l i n gfpressurevessels............240
Dimensionsfheads.........................335pipe............................................... 330Discontinuity.............................484,485Divisionof circles .............................289Doubleweldedbuttjoint ...................485
lapjoint ........................................ 485Dropat intersectionof nozzle
and shell ....................................... 291Ductility.............................................485
Earthquake........................................... 61map,of seismiczones.................... 64
Eccentric ......................
Eccentricload ...................................... 66
Eccentricity........................................485Efficiencyof weldedjoint .................485Elastic ................................................485Elasticlimit........................................485
Elasticstability....................................67Illcctroslagwelding...........................485Ellipsoidalheadallowable
pressure .................................... 18,22
areaof surface..............................425dimensionsof ...............................335externalpressure............................34locatingpoint on ..........................293partialvolumeof... .......................wallthicknesst’or
internalpressure..................18$22Endurancelimit .................................485,.Engagementof pipe ...........................235
Erosion...............................................485Examinationof weldedjoints ............177Expansionjoint ..................................485
of horizontalvessels ......................99of metals....................................... 191
Extensionof openings....................... 128Externalpressure.................................31
charts ........................................ 42-47stiffeningring.................................40
Fabricatingcapacities........................232Fabricationtolerances........................200Factors,conversion............................446
Factorof safety ..................................485Fahrenheit,conversionto
centigrade.....................................444Fatigue...............................................485Fiber stress .........................................485Fillermetal.........................................486Filletweld..........................................486Fittings....................................... 126-127
welding.........................................361dimensions...................................361weight...........................................390
Flammableiquids ............................. 184
Flangedanddishedhead,allowablepressure....................20, 24areaof surface..............................425dimensionsof ...............................335externalpressure ............................34thicknessfor internal
pressure...............................Flangedfittings,prcssure-
temperaturerating..........................28Flrmgc
dimensions,...................,..,......,....341pressure-temperatureating ...........28weightof ......................................395
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F l a te a da l lh i c k n e s s.....................2 6F r u s t r u m fo n c e n t r i co n e. . . . . . . . . . . . . 2 7 6
e c c e n t r i co n e.............................2 7 9F u e la si p i n g................................. 2 0 8F u l li l l e te l d..................................4 3 6
Gage .....................................
Gallonsto
........................................
....................
welding....................................... 486Gaskets,chemicalresistanceof.........Gate valve ..........................................486
dimensions...................................365Generalspecifications.......................243Geometricalconstructions.................268
f o r m u l a s...................................... 2 5 8
p r o b l e m s...................................... 2 6 8G i r t he a mo r m u l a............................. 1 6G l o b ea l v e.......................................4 8 6
d i m e n s i o n s..................................366G r a p ht i z a t i o n................................... 4 s 6G r o o v ee l d...................................... 4 s 6
Ileads .................................................334definition.....................................,486volumeof .....................................416weightof ......................................375
Heat treatment....................................4861Hemisphericalead,allowable
pressure....................................18,22area of surface.............................. 425dimensionsof ...............................335externalpressure ............................34wallthicknessf o r
i n t e r n a lr e s s u r e. . . . . . . . . . . . . . . . .8 , 2I { i g h - a l l o yt e e l................................. 4 8 61Iingc,......+........,..........,.......,.....,....4..314flydrogenbrittleness..........................486I[ydroslatictest .................................. 486Hydrostatictest presssure.................... 1S1hydrostaticest pressure
for flanges ......................................28
Impact stress ... .. . .. . . .. . .. . . .. . . .. . .. . . .. . .. . . .. . 486
test ................................................ 486Inchesto millimeters,
conversion.................................... 4 3 1I n s p e c t i o np e n i n g........................... 1 2 3l n s p c c t o r ’ sh e c k l i s t.......................... 2 5 5I n s u l a t i o n ,e i g h tf . . .......................4 1 4I n t e r m i t t e n te l d...............................4 8 7I n t e r n a lr e s s u r e........................... 1 5 , 8I n t e r s e c t i o n fo n e
and cylindcr .................................. 28S
...........................
o fylinderand plane................... 2S1of cylinderandsphere................. 2S6ofnozzleand shell,drop............. 291
Isotropic..................................,.......4.87Joint efllciencies....................... 172,174
definition..................................... 487Joint penetration............................... 487Junctionof cone to cylinder............. 159
Killedsteel ........................................ 487Kilogramto pounds,conversion...... 438
Ladder .............................................. 315Laminatedvessel............................... 487Lapjoint ............................................ 487Laws,boilerandpressurevessel...... 474Layeror laminatedvessel................. 4S7Legsupport ....................................... 102
dimensions................................... 108Lengthof arcs ................................... 297Lengthof pipeandcoupling
foropenings......................... 13S,139of stud bolts................................. 237
Lethalsubstances.............................. 487Liflingattachments........................... 119Liflinglug ......................................... 118Ligament........................................... 487Linedvessel ...................................... 487Liquidpenetrantexamination........... 487Liquidpetroleumpiping...................210Literature ........................................... 479
Liters to gallons, conversion ............ 439
Loadings ...................................... 1 3 , 4L o c a t i n gointson
ellipsoidalheads.......................... 293Locationsof vesselcomponents....... 241Longweldingneck............................ 34ILongitudinalstress.............................. 14[ ,OW-dk)y S(CC] .... . .. . . .. . . .. . .. . .. . . .. . .. . . .. . . 487
properties of . .. .. . .. . .. . .. . .. .. . .. .. . .. .. .. . 187
L o wemperature operations . .. .. .. .. .. . . 185Lug,lifting...,,,.,,.,..,,,.,..................,,, 118Lugsuppport..................................... 109
Magneticparticleexamination......... 487Malleableiron ................................... 487Materials,descriptionof..................,.192
propertiesof ................................ 186test report..................................... 487of foreigncountries..................... 194
Maximumallowablepressure,flanges ........................................... 28forpipes....................................... 142stress .............................................. 13stressvalues........... 16, 189$190,487workingpressure................... Is, 487
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Measures ............................................ 321
Measurement, metric system of... ...... 427
Membrane stress................................ 488
Metal arc welding .............................. 488
Metals, chemical resistance of... ....... 224Metric System of measurement .........427
Mist extractor .................................... 316
Mitered pipe ...................................... 2 8 0M i l l i m e t e r s on c h e s ,
c o n v e r s i o n................................. . .3 3M i n i m u mh i c k n s s f
s h e l l sn de a d s.......................... 1 8 2M o d u l i fl a s t i c i t y. . . . . . . . . . . . . . . . . .8 8 ,7 8M o d u l u s fi g i d i t y.......................... 4 8 8M o m e n t fn e r t i a............................. 4 8 8
Nameplate ......................................... 317
Needlevalve ...................................... 488Neutralaxis........................................ 488
Surface......................................... 488Nipple ................................................ 488Non-pressurewelding....................... 488Normalizing....................................... 488
strength ........................................488test ................................................ 488
Nozzle details .................................... 244Nozzle loadings................................. 153Nozzleneckthickness...............122,140Nozzleweightof ............................... 413
Openings............................................ 122detailingof ...................................244extensionof..................................128reinforcementof..,.................129-137weightof ...................................... 413weldingof ....................................244
Operatingpressure....................... 15,488temperature.................................. 488
optimum vesselsize.......................... 272Organizations....................................476Oxidation...........................................488
P-number........................................... 489
Packing,weightof ............................. 414Paintingof steel structures................247Partialv o l u m e fy l i n d e r s. . . . . . 4 1 8 , 4 2 1
h e a d s........................................... 4 2 2s p h e r e.......................................... 4 2 2
P a s s................................................... 4 8 9P e t r o l e u mefinerypiping .................208P i p ee n d i n g............................. 2 3 4 , 2 8 0
d i m e n s i o n s f.............................. 3 3 0e n g a g e m e n t................................. 2 3 5l e n g t h fo rp e n i n g s , . . . . . . . . ,3 8 ,3 9m i t e r e d....0.,.,.............................. 2 8 0p r o p e r t i e s f................................ 3 2 2
wall t h i c k n e s soi n t e r n a lr e s s u r e..................... 1
w e i g h t f.....................................3P i p ei t t i n gy m b o l s..........................3
P i p i n go d e s...................................... 2P l a s t i c i t y........................................... 4P l a t ee n d i n gl l o w a n c e s. . . . . . . . . . . . . . . .P l a t e fn e q u a lh i c k n e s s ,
w e l d i n g f................................... 1P l a t eh i c k n e s s ,e l a t i o n
r a d i o g r a p h i cx a m i n a t i o n. . . . . . . . . .P l a t e s ,e i g h t f............................... 4P l a t f o r m............................................ 3P l u ga l v e......................................... 4Plugweld .........................:.................89Pneumatictest ................................... 489P o i s s o n ’ sa t i o...................................4P o r o s i t y............................................. 4P o s te l de a tr e a t m e n t...................4P o u n d sersq. inchto
kilogramp e rq .c e n t i m e t e r ,o n v e r s i o n. . . . . . . . . . . . . .
P o u n d s oi l o g r a m ,o n v e r s i o. . . . . ,P o w e ri p i n go d e............................ 2P r e f e r r e do c a t i o n se s s e
c o m p o n e n t s................................. 2P o w e ri p i n go d e............................ 2P r e f e r r e do c a t i o n se s s e
c o m p o n e n t s.................................2
P r e h e a t i n g......................................... 4P r e s s u r e fl u i d..................................2P r e s s u r e - T e m p e r a t u r ea t i n. . . . . . . . . . .P r e s s u r ee s s e l.................................. 4
d e t a i l i n g....................................... 2l a w s.............................................. 4
P r e s s u r ee l i e fa l v e......................... 4P r e s s u r eelding................................489Primarystress.........................,,. ,...,,,.489Propertiesof pipe...............................3
o fe c t i o n s................................... 4s t a i n l e s st e l..................... ,. . , .
o ft e e l.................................. . . . .o fu b e s........................................332
Q u e n c hn n e a l i n g............................. 4
R a d i a n so degrees,conversion.........442Radiographing...................................490Radiusof gyration .............................490Radiographicexamination................174
relationto platethickness..............30Randomlength...................................490Reactionof ............................. 1R e c t a n g u l a ra n k s............................. 2R e f r a c t o r y......................................... 4
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R e f r i g e r a t i o ni p i n g. . . . . . . . . . . . . . . : . . . . . . . . . 2 I (R c i n f o r c c m c n t ,o n e oy l i n d e r..... 1 S $R e i n f o r c i n g fp e n i n g s.......... 1 2 9 ,3 7R e q u i r e da l lh i c k n e s s
for internalpressure................. 18-2;Residualstress ...................................49(
Resistance welding .. . .. . .. . .. . . .. .. . .. . . .. .. . .49Q
Right triangles, solution of... . .. . .. .. . .. . .27(
Ringjoint flanges ...............................356Ringsmadeof sectors........................ 274Rootof weld ......................................490
Saddledesign.......................................98dimension..................................... I
Scale................................................... 49aScarf................................................... 49(IScheduleof openings ........................245
Screwedcouplings.............................368Sealweld............................................49oSeamlessheadjoint efficiency..........176
vesselsection ............................... 176Secondarystress ................................@O
Section modulus .. .. . . .. . . .. . .. . .. . .. . .. . . .. . .. .49o
Sections, properties of . .. . .. . .. . .. .. . .. .. . .. .450
Segments of circles . . .. . .. . . .. . .. . .. . . .. . . .. . .. 290
Seismicload.........................................61map of seismiczones .....................64
Services,Code rules .......................... 181Shapeof openings ............................. 122Shearstress ........................................49o
Sheetsteel,weight.,...........................399Shell,definition.................................49ovolumeof .....................................416weightsof .....................................375
Shieldedmetal arcwelding...............49oSingle-weldedbuttjoint ....................49o
lapjoint ........................................490Sizeof openings ................................ 122
vessel ............................................272weld ..............................................49o
Shopweldedtanks............................. 203
Skirtdesign..................,.,,.,,...,.,..,,,.,,,.76openings....................................... 319
Slag .................................................... 491Slendernessratio................................491Slot weld ............................................491Solutionof righttriangles .................270Specificgravities...............................415Specificgravitydefinition.................491Specificationfor design
of vessels ...................................... 195Specifications....................................470Sphere,allowablepressure............18,22
externri pressure ............................ 34
partial volIImc of .......................... 412
w a l lhicknessfor internalpressure.............................. 18,22
Spotwelding..................................... 491Squarefeet to squaremeters,
conversion................................... 437Squaremetersto squarefeet,conversion................................... 437
Stabilityof vessels............................ 491Staggeredintermittent
filletweld..................................... 491Stainlesssteel,propertiesof...., ....... 190Stair ................................................... 313Standards........................................... 47oStatichead........................................... 29
definition..................................... 491Steelstructures,designof... .............. 447Stiffeningring,externalpressure.......40
construction................................... 48Strain ................................................. 491Stressand strain formula;.................448Stress,definition............................... 491Stressvaluesof materials.................. 189Stresses,combinationof... .................. 69
in cylindricalshell......................... 14in largehorizontalvessels
supportedby saddles................86in pressurevessels................. 13,491
Structures,designof ......................... 447Structuralmembers,weldingof...,.... 458Stud ................................................... 491Studbolts, lengthof... ....................... 237Studdingoutlets................................ 357Subjectscoveredby literature.......... 481Submergedarcwelding .................... 49]Supportof vessels,leg ...................... 102
................................................ 109.............................................
checkwdvcs........................... 367~ymbolsfor pipe fittings .................. 369
I’ackweld .......................................... 492rail towers,design............................. 52ranks, rectangular............................. 212
ranks, shop welded........................... 2 0for oil storage .............................. 204
ree joint ............................................ 492temperature,conversion
centigradeto Fahrenheit.............. 444rensile strength................................. 492
stress ............................................ 492rest .................................................... 492rest pressure..................................... 492rest pressure,external........................ 31rhermalexpansionofmetals............ 191[’hcrnmla[iguc................................. 492rhermalstress ........,..............+.......... 492
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Thicknessof VCSSCIall,’definition......................................492coderulesrelated t o.................... 1 8 2for full vacuum...............................49charts.,.,,,..,,,...,,,,,.................... 49-51for internalpressure................. 18-27fornozzleneck............................. 140of pipewall .................................. 148
Threadedandweldedfittings............126Throat................................................. 492Tolerances,definition........................492Tolcranccsof fabrication...................200Topicscoveredby literature..............481Transitionpieces........................ 287-288Transportationof vessels...................246Tube, bendingof..,.............,............... 234
propertiesof .................................332Typesof w e l d e d......................
U. M. plate.........................................492Ultrasonicexamination.....................492Undercut............................................ 492
forpipes ....................................... 148Weaving.............................................482Weights..................................... 321,374
bolts.............................................. 412c i r c u l a rl a t e s..............................4
couplings......................................413flanges ..........................................395galvanizedsheet...........................399insulation......................................414nozzles..........................................413openings.......................................413packing.........................................414pipesandfittingsplates ............................................400sheet steel .....................................399shellsand heads ...........................375vessels ............................................59
Weld,definition.................................492metal.............................................493sizes f o rp e n i n g s............... 1 2 2
W e l d e do i n ta t e g o r i e s.................... 1 7designof ....................................... 174