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STRESSES IN VESSELS ON
LEG SUPPORT
NCTTATION:
ll' = \\'eighr of vesse l. lbsn = number of legs
wQ = -- Load on one lcg, lbs.
R = Radius of hrarj, inchH = Letsrarm of toad. inch.ZA,28 = Dimcnsions of wear plac5 = Strcss, pound per sq. inchr = r.Vall thickness of head, inchK = Factors. see charts
C=VAB.inchC = radius of circular wear plale, in
/h
D = t 82: \ / IRr r
t, =: [
.o, ' 1tq,
I-ONGTTUDINAL STRESS:
,, =: [ .o, * (Kr + 6 K,) +
if ,*, + 6x.)]
CI RCUTIFERENTIAL STRESS:
+ 6r{ i . : \ f rK, + 6r,r ]
lrffiES:
Pusitive values denore tensile stresses and negarive values dcnote compression.coinpu:rng the maximurn tensire strcsses, in formuias ror s, and S., K,, Kr, K, andKt rienote negative facrors and Kr. Ko, Kc and K, dcnuc posirii. f*roo.compuring the maximum compression strcsses, in formuras for s, and S,, Kr, Kz,K:, Ko, Kr, Ko, K, and K* denote negative facton.T}te marimum tensile stresses s, and s., rcspcctively, plus the rcnsile stress due tolnternal pressule shall nr:: rrceeri the allorvable rensile suess value of head material.The maximum compression stresses S, and s,, rcspcoively, plus thc tcnsilc stressdue to internal pressurc shall nu excced thc allorzble comprcssron stress value ofhcad matcrial.
al lhl
r t ' i
z^€if t --rgJl' lgj
STREIISES [Y VESStr' S ON LEG SUPX}RT
0.30
0.25rtl
Y-on
{015
0.10
005
0
I
-i--_-r_
I
02 0.10.6 03 1 0 i2 1 5
035
uiu
02 0r.06 08 10 12 15
\ALUE OF l(/ & K..
\o)c 0.25
0.15
0.'on n<.
l l
VALUE OF A-. & K6
STRESSES rr* }TSSELS O}{ LEG SL,PPORT
0.?0
r\- -u l :
f}..|
0!
0.05
002 01060.81S 12 15
D
0.60
050v,
- 0/.0-.|t
430
v.4,v
vtu
02 0.i06081fr12 1.5
VALUE OF K3 &, K?
i l l
\ALUE OF r. & KE
r05
STRESSES LrII'ESSEIJ ON LES SiJPR}Rr
EXAIITPLE CA I,fU LATI ONS
DESICN DAT.{
W = 800,000 lb. weighf of vesseln = 1, number of legs
w 800,000I = - = l(}0.000 lb. load on onc lcg
n4R = l0f] inch. r:.dius ot headH = 5 rnch. leverarm of loadlA = i0 inch, 38 = i0 inch. dimensrons of wear plater = 1.8 inch thickncss oi hcadcos :< = 0.800P = l0Ct psi. inrernal pressure
Hcad rnatenal: SA - 515-70Al!,-r*'ablc stress value: l?,500 psiJornt Effrcicncy: 0.85Yiel.J poinr 38,000 psi.F;ttors K (sce chrns);
c = \"AB = V 15 x 15 = l -s inch, , I .^^
D = t .82 : \ / I = t .s2_,: i \ / g= :o:RvrlLl . lv l_g
(i = 0.06-5, K, = f.$-1$. K-, = 0.065, K., = 0.025,Ks = 0.020. K6 0.010, Kz = 0.011, Ka = 0.0t0.
LONGITUDIITIAL STRESS:I . ) li{aximum tensile stress:
. r , =: [ .o, x (-Kr + 6K:] . l f , 'T,-Kr + bK.) ]
, , = lWlg I o.a,ro(-o.o6r : 6 x ooior * s 1@' I .8: L l00 v 1.8
(-0.065-6x0.015) I =J
The stress due ttr internal pressure:
PR 100 x 100
t =
J l - , -8 = * t77Spsi
The surrr of tensional stresscs:7.r|. i. l . 1.771{ = lr).-i l l psi
It dr;.-s not crcer'd the strcis r.alue of the cirth scanr:l1.5tXt ( 0.E: = l . l , t (? i nrr
+ 7.6i{ psr
STR"ESSES L\ VESSEIJ ON LEG SUPPORT
l. ) ltlarimum, compressional -srrcss: , ...
s, =9 [ .o, r ( -K. - 6K:) . l \41-K3 - 6K.) ]
t , =#. [ 0.800(-0.065 - 6 x 0.030).*VT
( -0.065-6x0.035 I) J =- 17,0a4 psi
The strcss due to internal pressure:PR t00 x t00
= + 2779 psi2t : x l .gThe sum of stresses:- 17,9,S1 + 2,779 = _ 14,266 psiIt does nol cxcecd the stress value of the ginh searn:17,500 x 0,95 = 14,975 psi
Circumferential stress:l.) Maximum tensile stress:
t , =: [
.o, r ( -Ks + 6KJ.: \4,-K., + u*rJ
t = # [ o.sm(-0.020 + 6 x 0.010) .. * /]00' tmvt.8
(-a.022 +6x0.0t0) ]
= * 2,849-psi
The srrcss due to intcmal prcssurc:
PR t00 x t002t I x t .B
The sum of tensile stresses:2.8.re + 2.779 = 5,62? psi
It does not exceed rhe strcss value of thc ginh scam:17.5m x 0.85 = t4.875 psi
2.1 Marimum compressional srrcss:-
t , =t [ .o, ' ( -Ks - 6KJ+i \ f , -Kz - u*, ,J
ril: lt i
; ;
:
It
STRESSES F{ tf[$Sgt$,S,il LEc .:.._!iTt }t.!
: f lJ .Unf^. t - : - - :. =* | o.8w(-0.0:o -6xo.oto)+3.\ i . l j !r : t .Br L ' t$ v r [
-0.021 - 6 x 0.0t0) J
_ _ 5.8j7psr
Thc stress r.luc tu tnternal presbure:
PP 100 x lm.:__ = + 277EFi2t 2 x ! .E
The sunr of stresscs:- 581t' + 2778 = - 3,059 psi.
' ..:':.Ir drrs nd excecd the strcss rralue of the ginh scam:t7.-s0o x 0.65 = 14,E75 psi
l at,j
. :.,i
' ' t.1:i4.1
.. ,,.'1$
i
LEG SUPPORT
SECTION A.A
I
I
VESSELDIA
VESSELHEIC}fT MAX
AIiGLESIZE
Ifiux
\t,
2'.#8',ry 3'x 3'x 318"
s'.ryJ
3',-6"4'{}' l0'ry 3.5'x 3.5'x 3/E' 6"4'-6"5',ry t4's 4'x4'x ln '
7',-t
7'5',-6"6'{r6'.-6'
t : ' - r f 5"x5'x l l2 ' Itr
7',{Y r8'-ff 6'x 6" x 5/8' t ' -0 '1',4'