MD PV ASME v0.1.xls

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     Program User Guide :

    Doc. No. PUG - MDPV - 000

    Date 2005. 8. 15.

    Revision 0 1

    1. Introduction Sheet No. 1 of  1

    2. References

    The prora! is "ase# on the fo$$o%in& %hich sha$$ "e referre# to for f'rther 'n#erstan#in.

    Design  (SM) Sec. V***& Div. 1

    Materials  (SM) Sec. ** - D

    Technicals Process Vesse$ Desin Man'a$& Dennis R. Moss

    Desin of Process )+'ip!ent& ,r# )#.& . . Mahaan

    /ata$o'es for $anes

    3. Future Deelo!ment

    Descri!tion Date "ersion Remar#s

    No$e 05. 8. 15. 0.1

    /onica$ Section 05. 8. 15. 0.1

    She$$ $ane 05. 8. 15. 0.1

    ea#er& 3o4 Tpe

    S'pport Sa##$e

    6e

    6'

    S7irt

    6iftin 6'

    No$e )4terna$ 6oa#)4terna$ Press're

    Ta$$ To%er 

    Davit

    $. Program %rchitecture

    Inside the Program

    *np't an# S'!!ar Sheet

    /a$c'$ation Sheet for  &hell

    /a$c'$ation Sheet for  'ead

    /a$c'$ation Sheet for  conical &ection

    /a$c'$ation Sheet for  &hell Flange

    /a$c'$ation Sheet for  Tu(e/a$c'$ation Sheet for  'eader 

    /a$c'$ation Sheet for  )oer for 'eader 

    /a$c'$ation Sheet for  *o++le

    Data Files

    Materia$ *n#e4& $ane Data& Mo#'$'s of )$asticit& ...

    ,. General Information

     NT)S Narai Ther!a$ )nineerin Services

    Mechanical Design of P - "  in acc. ith %&M/

    This 'i#e is inten#e# to o't$ine a prora! for !echnica$ #esin of !ressure essels in accor#ance %ith

    %&M/.

    9 I& 9

    9 shell 9

    9 head 9

    9 consec 9

    9 s.flg 9

    9 tu(e 99 'D 9

    9 c 9

    9 *0 9

    9 materials %&TM 9 Stress Va$'es of %&TM : %&M/  !ateria$s

    9 materials common "

    9 materials I& 9 Stress Va$'es of I&  !ateria$s

    9 materials & 9 Stress Va$'es of &  !ateria$s

    Data are inp'te# via ce$$s %ith (lue %or#s : n'!"ers an# co!"o"o4es.

     (ttention sha$$ "e pai# to ce$$s %ith red %or#s : n'!"ers.

    각 Sheet 의하단에나타나는회사명을바꾸려면아래에있는  색 회사명을바꾸기만하면된다.

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     Design *otes :

    Mechanical Design of P - " in acc. ith %&M/

    Doc. No. DN - MDPV - 000

    Date 2005. ;. 28.

    Revision 0

    1. Introduction Sheet No. 1 of  1

    These notes are inten#e# to he$p #esiners fo$$o% nor!a$ #esin practices& an# f'rther reach an opti!'!

    #esin.

    2. *otes

    Flange

    The proce#'res are fro! Ta$or ore 3'$$etin No. 502& ;th )#.& 9 Mo#ern $ane Desin 9.

    *n enera$& "o$ts sho'$# "e 'se# in !'$tip$es of fo'r.

    or $are #ia!eter f$anes& !an s!a$$er "o$ts on a tiht "o$t circ$e are reco!!en#e# to re#'ce the f$ane

    thic7ness.

     NT)S Narai Ther!a$ )nineerin Services

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     ?o" No. 4 31 4 2,   *te! No. F 4 35$

     Proect &ohar Refiner6 Pro7ect   Service Incinerator )ham(er 

     D / & I G * D % T %

     /o#e %&M/ &ec. "III Di. 1

     Service acc. to UG-1@

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    Doc. No. MD - PV - 00

    P R / & & U R / " / & & / <

    M / ) ' % * I ) % < D / & I G *

    o( *o. F 4 31 4 2,

    Pro7ect F &ohar Refiner6 Pro7ect

    )lient F G)

    )ontractor  F ')/I

    Item *o. F F 4 35$

    &erice Incinerator )ham(er  

    5

    =

    ,2

    1

    0 05. 8. 15.   *ss'e# for approva$. S. ?. 6ee 6TG 6

    Rev. Date Description Prepare# Revie%e# (ppr  

    *arai Thermal /ngineering &erices

    Te$.

    o!epae a4.

    )-!ai$

     NT)S Narai Ther!a$ )nineerin Ser

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    e

    ove#

    vices

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      P R / & & U R / " / & & / < :  Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G * Date 05. 8. 15.

     Rev. 0

     Sheet No. 1 of 1

    T a ( l e of ) o n t e n t s

    1. Design Data and &ummar6

    2. &hell

    3.

    $.

    ,.

    8.

    5.

    .

    E.

    1.

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      P R / & & U R / " / & & / < : Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *

    Date 05. 8. 15.

    1 Revision 0

    2 Sheet No. 1 of  4

    ,

    = Proect &ohar Refiner6 Pro7ect

    5 *te! No. F 4 35$

    @ Service Incinerator )ham(er ;

    8D / & I G * D % T %

    I

    10 /o#e %&M/ &ec. "III Di. 1

    11 I * T / R * % < / = T / R * % <

    12 Desin

     Press're ,00 7Pa.

    1, Te!perat're ,=0   ℃ 

    1= Press're Test

     Metho# #rostatic

    15 Press're 0 7Pa.

    1@ (!"ient Te!perat're ,0   ℃ 

    1; )orrosion %lloance oint /fficienc6 Radiogra!h6

    18 She$$ , !! 0.85 Spot

    1I ea# , !! 1 No or '$$20 No$e , !! CCC CCC

    21 T'"e 0 !! CCC CCC

    22D / & I G * & U M M % R C2,

    2=

    Descri!tion T6!e MaterialID

    Thic#ness

    Remar#s25 Min. ReA. Used

    2@ !!

    2; She$$  ( 51@-;0 2500 =.@ 1=

    28 ea# 2F1 )$$ipsoi#a$  ( 51@-;0 5.= 1=

    2I She$$ 2  ( 51@-;0 1=50 =.@ 1=

    ,0 /onica$ Sec.  /onica$ /oncentric ( 51@-;0 2500 1=50 5.= 1= 6 K I20 !!

    ,1 $at ea# $ane#  ( 105 N *D. 1=50 50 3o$t K ( 1I,-3;&JK2.59

    ,2 She$$ $ane (BB( : Rin  ( 105 N Th7 1= I5 Gas7et K Spira$ B.&SUS

    ,,T U @ / B ' / % D / R

    ,=

    ,5

    Descri!tion T6!e MaterialID >D

    Thic#ness

    Remar#s,@ ReA. Used.

    ,; !!

    ,8 T'"e U-t'"e  STS ,0= T3 ) 1I.= 25.= ,

    ,I ea#er& *n$et /irc'$ar    STS ,0= TP ) 125 ( : Sch.80

    =0 3$in# $& *n$et Be$#e#  STS ,0= 15

    =1 ea#er& 't$et /irc'$ar    STS ,0= TP ) 80 ( : Sch.80

    =2 3$in# $& 't$et $ane#  SUS ,0= (NS* : S$ip-on : 150 $"

    =,

    * > ? ? < / &===5

    Descri!tion Material D

    Thic#ness Pad

    Remar#=@ ReA. Used. Material >D t

    =; !! !!

    =8 (1& Manho$e  ( 51@-;0 She$$ 585.@ @0I.@ 12.0 ( 51@-;0 11@0 1=

    =I 1 A 2  ( 10@-3 She$$

    50

    51

    52

    5,

    5= Re!ar7s F

    55

    5@

    5;

    58

    5I

    @0

     NT)S Narai Ther!a$ )nineerin Services

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part &hell

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 25 Thic#ness of &hells under Internal Pressure C /irc'!ferentia$ stress overns.

    9 c 9 1 )ircumferential &tress in the *

    Minimum ReAuired Thic#ness of &hell

    /hec7s F t K 0.5 R K @[email protected] -H

    P K ,00 0.,85 S ) K V(6U)E -H

    t KP R

    α K,00.0 1&25,

    ,.0S ) - 0.@ P V(6U)E 0.85 - 0.@ ,00.0

    K !! 1= !! 'se#. -H "%

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part 'ead

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 32 Formed 'eads; and &ections; Pressure on )oncae &ide

    9 d ; 9 e or 9 f

    D / & I G * D % T %

    Materia$ /o#e %&TM

    Materia$ % ,1845

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    *nsi#e #ia!eter of the hea# Uncorro#e# 2&500 !!

    *nsi#e #ia!eter of the hea# /orro#e# D 2&50@ !!

    *nsi#e ra#i's /orro#e# R 1&25, !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc ) 1

    /orrosion a$$o%ance , !!

    Thic7ness re#'ction rate after for!in rt 15

    *nsi#e spherica$ or cro%n ra#i's K 0.I0=5 D 6 2&2@; !!

    ) % < ) U < % T I > *

    2:1 /lli!soidal H UG 4 32 9 d

    /hec7 F t : 6 K 0.002 -H

    t K <P D

    α >100

    K <,00.0 2&50@

    >

    2 S ) - 0.2 P 100 - rt 2 V(6U)E 1 - 0.2 ,00.0 - 15

    K !! 1= !! 'se#. -H "%100

    K <0.885 ,00.0 2&2@;

    >

    S ) - 0.1 P 100 - rt V(6U)E 1 - 0.1 ,00.0 - 15

    K !! 1= !! 'se#. -H "%

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part &hell 2

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 25 Thic#ness of &hells under Internal Pressure C /irc'!ferentia$ stress overns.

    9 c 9 1 )ircumferential &tress in the *

    Minimum ReAuired Thic#ness of &hell

    /hec7s F t K 0.5 R K ,@= -H

    P K ,00 0.,85 S ) K V(6U)E -H

    t KP R

    α K,00.0 ;28

    ,.0S ) - 0.@ P V(6U)E 0.85 - 0.@ ,00.0

    K !! 1= !! 'se#. -H "%

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part )onical &ec.

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 32 Formed 'eads; and &ections; Pressure on )oncae &ide

    9 g )onical &ections 9 Jithout Transition nuc#le

    D / & I G * D % T %

    Materia$ /o#e %&TM

    Materia$ % ,1845

    /onfi'ration )oncentric

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Uncorro#e# 2&500 !!

    *nsi#e #ia!eter of the she$$& $arer /orro#e# D 2&50@ !!

    *nsi#e ra#i's /orro#e# R 1&25, !!

    Uncorro#e# 1&=50 !!

    *nsi#e #ia!eter of the she$$& s!a$$er /orro#e# 1&=5@ !!

    *nsi#e ra#i's /orro#e# ;28 !!

     (4ia$ $enth of conica$ section 6 I20 !!

    ne ha$f ape4 an$e Θ 2I.; #e

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E ?oint efficienc for& or the efficienc of& appropriate oint ) 0.85

    /orrosion a$$o%ance , !!

    ) % < ) U < % T I > *

    /hec7s F 2I.; J ,0 #e -H E

    t KP D

    α K,00.0 4 2&50@

    ,.02 cos < S ) - 0.@ P > 2 cos < 2I.; > < V(6U)E 0.85 - 0.@ ,00.0 >

    K !! 1= !! 'se#. -H "%

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part Flat 'ead

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 7

    D / & I G * D % T %

    Materia$ /o#e %&TM

    Materia$ % 1,

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= # 1&505 !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / 0.,

    Tota$ 3o$t $oa# J CCC

    Gas7et !o!ent ar!& ra#ia$ #istance fro! "o$t center to $ine of as7et reaction V(6U)E !!

    /orrosion a$$o%ance , !!

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    t K # α

    H >!erating )ondition

    to K 1&505 0 .,0 ,00.0 : 1 1.I "%

    2

    π  : = #22  n

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part Flat 'ead

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 !

    D / & I G * D % T %

    Materia$ /o#e %&TM

    Materia$ % 1,

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= # V(6U)E !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / 0.25

    /orrosion a$$o%ance , !!

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    t

    t K # / P : S ) α C

       V   (   6   U

       )

       (   6

       U

    K 0.25 ,00.0 : V(6U)E 1 ,.0

       1 &   =

       5   0

       #  K

    K !! 50 !! 'se#. -H

    She$$ *D

     NT)S Narai Ther!a$ )nineerin Services

    @olted ith a full4face gas#et to &hell

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part Flat 'ead

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 e or 9 f Jelded to &hell

    D / & I G * D % T %

    Materia$ /o#e %&TM

    Materia$ % 1,

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= Uncorro#e# 1=50 !!

    Dia!eter !eas're# as in#icate# in i. UG-,= /orro#e# # 1=5@ !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / CCC

    /orrosion a$$o%ance , !!

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    ! K the ratio& tr : ts K : 1= K

    Bhere& tr Re+'ire# thic7ness of sea!$ess she$$

    ts No!ina$ thic7ness of she$$

    / K 0.,, ! K 0.,, 4 K C !in. 0.2

    t K # / P : S ) α K 1&=5@ ,00.0 : V(6U)E 1 ,.0

    K !! 50 !! 'se#. -H

     NT)S Narai Ther!a$ )nineerin Services

    ts

    #

    t

    ts

    #

    t

    S7etch S7etch

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part Flat 'ead

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 a Formed B Jelded to &hell

    D / & I G * D % T %

    Materia$ /o#e %&TM

    Materia$ % 1,

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= Uncorro#e# 1=50 !!

    Dia!eter !eas're# as in#icate# in i. UG-,= /orro#e# # 1=5@ !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / 0.1;

    /orrosion a$$o%ance , !!

    Thic7ness re#'ction rate after for!in rt 15

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    t K < # / P : S ) α )100

    K < 1&=5@ 0.1; ,00.0 : V(6U)E 1 ,.0 >

     100 - r   - 15

    K !! 50 !! 'se#. -H

     NT)S Narai Ther!a$ )nineerin Services

    ts

    #t

    S7etch

    r K , t !in.

    B.6. T.6.

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    1 Proect &ohar Refiner6 Pro7ect Doc. No. D - BN6G - 100

    2 *te! No. F 4 35$  Serivice Incinerator )ham(er  Sheet No. 1 of  1

    , Description &hell Flange C Desin res'$t Revision 0

    1 D / & I G * ) > * D I T I > *

    = Desin Press're 7Pa. ,00 %lloa(le &tresses5 Desin Te!perat're ℃ ,=0 Flange @olting

    @ (t!. Te!p.   ℃  V(6U)E Materia$ (STM ( 105 Materia$ (STM ( 1I,-3;&JK2.59

    ; /orrosion ($$o%ance !! , at Desin Te!p. V(6U)E at Desin Te!p. V(6U)E

    8 at (t!. Te!p. V(6U)E at (t!. Te!p. V(6U)E

    2 G % & / T B @ > < T D / T % I < & 3 < > % D B @ > < T ) % < ) U < % T I > * &

    I Gas7et Materia$ Spira$ B.&SUS V(6U)E!!2 V(6U)E

    10  Gas7et Bi#th& N !! V(6U)E V(6U)E

    11 ! V(6U)E V(6U)E !!2 V(6U)E

    12 V(6U)E V(6U)E V(6U)E

    1, : " !! V(6U)E

    1= G !! V(6U)E

    15  3o$t Sie : Qt& n  Re+'ire# Gas7et Bi#th

    !! 1@ !! 1; 3o$t Spacin !!  J- C Min. : Ma4.& T)M( :

    $ M > M / * T ) % < ) U < % T I > * &

    "%

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    1 Proect &ohar Refiner6 Pro7ect Doc. No. D - S6G - 100

    2 *te! No. F 4 35$  Serivice Incinerator )ham(e C Tpe 6oose Sheet No. 1 of  1

    , Description &hell Flange C Desin res'$t Revision 0

    1 D / & I G * ) > * D I T I > *

    = Desin Press're 7Pa. ,00 %lloa(le &tresses5 Desin Te!perat're ℃ ,=0 Flange @olting

    @ (t!. Te!p.   ℃  V(6U)E Materia$ (STM ( 105 Materia$ (STM ( 1I,-3;&JK2.59

    ; /orrosion ($$o%ance !! , at Desin Te!p. V(6U)E at Desin Te!p. V(6U)E

    8 at (t!. Te!p. V(6U)E at (t!. Te!p. V(6U)E

    2 G % & / T B @ > < T D / T % I < & 3 < > % D B @ > < T ) % < ) U < % T I > * &

    I Gas7et Materia$ Spira$ B.&SUS V(6U)E!!2 V(6U)E

    10  Gas7et Bi#th& N !! V(6U)E V(6U)E

    11 ! V(6U)E V(6U)E !!2 V(6U)E

    12 V(6U)E V(6U)E V(6U)E

    1, : " !! V(6U)E

    1= G !! V(6U)E

    15  3o$t Sie : Qt& n  Re+'ire# Gas7et Bi#th

    !! 1@ !! 1; 3o$t Spacin !!  J- C Min. : Ma4.& T)M( :

    $ M > M / * T ) % < ) U < % T I > * &

    "%

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    1 Proect &ohar Refiner6 Pro7ect Doc. No. D - SG - 100

    2 *te! No. F 4 35$  Serivice Incinerator )ham(e C Tpe 6oose Sheet No. 1 of  1

    , Description &hell Flange C Desin res'$t Revision 0

    1 D / & I G * ) > * D I T I > *

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    12 V(6U)E V(6U)E V(6U)E

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    15  3o$t Sie : Qt& n

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    & < I P 4 > *; F U < < F % ) / G % & / T  F < % * G / D / & I G *

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  • 8/20/2019 MD PV ASME v0.1.xls

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    1 Proect &ohar Refiner6 Pro7ect Doc. No. D - R6G - 100

    2 *te! No. F 4 35$  Serivice Incinerator )ham(e C Tpe 6oose Sheet No. 1 of  1

    , Description &hell Flange C Desin res'$t Revision 0

    1 D / & I G * ) > * D I T I > *

    = Desin Press're 7Pa. ,00 %lloa(le &tresses5 Desin Te!perat're ℃ ,=0 Flange @olting

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    ; /orrosion ($$o%ance !! , at Desin Te!p. V(6U)E at Desin Te!p. V(6U)E

    8 at (t!. Te!p. V(6U)E at (t!. Te!p. V(6U)E

    2 G % & / T B @ > < T D / T % I < & 3 < > % D B @ > < T ) % < ) U < % T I > * &

    I Gas7et Materia$ Spira$ B.&SUS V(6U)E!!2 V(6U)E

    10  Gas7et Bi#th& N !! 20.00 V(6U)E

    11 ! V(6U)E !!2 V(6U)E

    12 V(6U)E V(6U)E V(6U)E

    1, : " !! 10.00 ;.I; V(6U)E

    1= G !! 1505.1

    15  3o$t Sie : Qt& n 19 =8  Re+'ire# Gas7et Bi#th!!

    1@ !! 1; 3o$t Spacin !!  J- C Min. : Ma4.& T)M( :

    $ M > M / * T ) % < ) U < % T I > * &

    "%!erating )ondition %lloa(le &tress Gas#et &eating

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    ==

     NT)S Narai Ther!a$ )nineerin Services

    R I * G  F < % * G / D / & I G *

    fo "

    fa a

     !2

      K π  ! K rea er o

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  • 8/20/2019 MD PV ASME v0.1.xls

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    1 Proect &ohar Refiner6 Pro7ect Doc. No. D - RG - 100

    2 *te! No. F 4 35$  Serivice Incinerator )ham(e C Tpe 6oose Sheet No. 1 of  1

    , Description &hell Flange C Desin res'$t Revision 0

    1 D / & I G * ) > * D I T I > *

    = Desin Press're 7Pa. ,00 %lloa(le &tresses5 Desin Te!perat're ℃ ,=0 Flange @olting

    @ (t!. Te!p.   ℃  V(6U)E Materia$ (STM ( 105 Materia$ (STM ( 1I,-3;&JK2.59

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    2 G % & / T B @ > < T D / T % I < & 3 < > % D B @ > < T ) % < ) U < % T I > * &

    I Gas7et Materia$ Spira$ B.&SUS V(6U)E!!2 V(6U)E

    10 V(6U)E

    11 ! V(6U)E V(6U)E !!2 V(6U)E

    12 V(6U)E V(6U)E V(6U)E

    1, " K < / - 3 > : = !! V(6U)E V(6U)E V(6U)E

    1= !! V(6U)E V(6U)E

    15  3o$t Sie : Qt& n

    1@ !!  3o$t o$e Dia.& #h !!1; 3o$t Spacin !!  J- C Min. : Ma4.& T)M( :

    $ M > M / * T ) % < ) U < % T I > * &

    "% R M U < % F % ) T > R &R K

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    R I * G; F U < < F % ) / G % & / T  F < % * G / D / & I G *

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part Tu(e

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 25 Thic#ness of &hells under Internal Pressure C /irc'!ferentia$ stress overns.

    9 c 9 1 )ircumferential &tress in the *

    Minimum ReAuired Thic#ness of &hell

    /hec7s F t K 0.5 R K =.85 -H

    P K ,00 0.,85 S ) K V(6U)E -H

    t KP R

    α K,00.0 I.;

    0.0S ) - 0.@ P 1 - 0.@ ,00.0

    K !! , !! 'se#. -H "%

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part 'eader; Inlet

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 25 Thic#ness of &hells under Internal Pressure C /irc'!ferentia$ stress overns.

    9 c 9 1 )ircumferential &tress in the *

    Minimum ReAuired Thic#ness of &hell

    /hec7s F t K 0.5 R K V(6U)E -H

    P K ,00 0.,85 S ) K V(6U)E -H

    t KP R

    α K,00.0 V(6U)E

    0.0S ) - 0.@ P 1 - 0.@ ,00.0

    K !! !! 'se#. -H "%

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part @lind Flg; Inlet

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 e or 9 f Jelded to &hell

    D / & I G * D % T %

    Materia$ /o#e &

    Materia$ &T& 3$

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= Uncorro#e# V(6U)E !!

    Dia!eter !eas're# as in#icate# in i. UG-,= /orro#e# # V(6U)E !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / CCC

    /orrosion a$$o%ance 0 !!

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    ! K the ratio& tr : ts K : K

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    ts No!ina$ thic7ness of she$$

    / K 0.,, ! K 0.,, 4 K C !in. 0.2

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    K !! 15 !! 'se#. -H

     NT)S Narai Ther!a$ )nineerin Services

    ts

    #

    t

    ts

    #

    t

    S7etch S7etch

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part @lind Flg; Inlet

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 !

    D / & I G * D % T %

    Materia$ /o#e &

    Materia$ &T& 3$

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= # V(6U)E !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / 0.25

    /orrosion a$$o%ance 0 !!

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    t

    t K # / P : S ) α

       V   (   6   U

       )

       (   6

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       #  K

    K !! 15 !! 'se#. -H

    She$$ *D

     NT)S Narai Ther!a$ )nineerin Services

    @olted ith a full4face gas#et to &hell

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part @lind Flg; Inlet

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 7

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    Materia$ /o#e &

    Materia$ &T& 3$

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= # V(6U)E !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / 0.,

    Tota$ 3o$t $oa# J CCC

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    /orrosion a$$o%ance 0 !!

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    t K # α

    H >!erating )ondition

    to K 0.,0 ,00.0 : 1 1.I "% Sa : 2 K "%

    2

    π  : = #22  n

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part 'eader; >utlet

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 25 Thic#ness of &hells under Internal Pressure C /irc'!ferentia$ stress overns.

    9 c 9 1 )ircumferential &tress in the *

    Minimum ReAuired Thic#ness of &hell

    /hec7s F t K 0.5 R K V(6U)E -H

    P K ,00 0.,85 S ) K V(6U)E -H

    t KP R

    α K,00.0 V(6U)E

    0.0S ) - 0.@ P 1 - 0.@ ,00.0

    K !! !! 'se#. -H "%

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part @lind Flg; >utlet

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 e or 9 f Jelded to &hell

    D / & I G * D % T %

    Materia$ /o#e I&

    Materia$ &U& 3$

    *nterna$ #esin press're P ,00 7Pa.

    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= Uncorro#e# V(6U)E !!

    Dia!eter !eas're# as in#icate# in i. UG-,= /orro#e# # V(6U)E !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / CCC

    /orrosion a$$o%ance 0 !!

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    ! K the ratio& tr : ts K : K

    Bhere& tr Re+'ire# thic7ness of sea!$ess she$$

    ts No!ina$ thic7ness of she$$

    / K 0.,, ! K 0.,, 4 K C !in. 0.2

    t K # / P : S ) α K ,00.0 : 1 0.0

    K !! !! 'se#. -H

     NT)S Narai Ther!a$ )nineerin Services

    ts

    #

    t

    ts

    #

    t

    S7etch S7etch

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part @lind Flg; >utlet

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 !

    D / & I G * D % T %

    Materia$ /o#e I&

    Materia$ &U& 3$

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    Desin te!perat're ,=0   ℃ 

    Dia!eter !eas're# as in#icate# in i. UG-,= # V(6U)E !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / 0.25

    /orrosion a$$o%ance 0 !!

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    Minimum ReAuired Thic#ness of Flat 'ead

    t

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       V   (   6   U

       )

       (   6

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    K 0.25 ,00.0 : 1 0.0

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    K !! !! 'se#. -H

    She$$ *D

     NT)S Narai Ther!a$ )nineerin Services

    @olted ith a full4face gas#et to &hell

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      P R / & & U R / " / & & / < :   Doc. No. MD - PV - 000

    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part @lind Flg; >utlet

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 3$ Unsta6ed Flat 'eads and )oers

    9 c 9 2 etch 9 7

    D / & I G * D % T %

    Materia$ /o#e I&

    Materia$ &U& 3$

    *nterna$ #esin press're P ,00 7Pa.

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    Dia!eter !eas're# as in#icate# in i. UG-,= # V(6U)E !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E

    ?oint efficienc for& or the efficienc of& appropriate oint ) 1

    actor #epen#in 'pon the !etho# of attach!ent of hea#& she$$ #i!ensions / 0.,

    Tota$ 3o$t $oa# J CCC

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    /orrosion a$$o%ance 0 !!

    ) % < ) U < % T I > *

    Minimum ReAuired Thic#ness of Flat 'ead

    t K # α

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    to K 0.,0 ,00.0 : 1 1.I "% Sa : 2 K "%

    2

    π  : = #22  n

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part No$e H %1; Manhole

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 $, *o++le *ec# Thic#ness

    UJ 4 18 Minimum ReAuirements for %ttachment Jelds at >!enings

    D / & I G * D % T %

    e * > ? ? < /Materia$ /o#e %&TM %&TM

    Materia$ specification % ,1845 % ,1845

    *nterna$ #esin press're P ,00 7Pa. ,00 7Pa.

    Desin te!perat're ,=0   ℃  ,=0   ℃ 

    *nsi#e #ia!eter Uncorro#e# 2&500 !! 585.@ !!

    *nsi#e #ia!eter /orro#e# D 2&50@ !! Dn 5I1.@ !!

    *nsi#e ra#i's /orro#e# R 1&25, !! Rn 2I5.8 !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E Sn V(6U)E

    ?oint efficienc ) 0.85 )n 1

    /orrosion a$$o%ance , !! n , !!

    No!ina$ %a$$ thic7ness Uncorro#e# 1= !! 12.00 !!

    Ba$$ thic7ness /orro#e# t 11 !! tn I.00 !!

    ) % < ) U < % T I > *

    Minimum *o++le Jall Thic#ness H UG 4 $,

    UG 4 $, 9 a B UG 4 25 9 c 9 1

    /hec7s F tr1 K 0.5 R K 1=;.I -H

    P K ,00 0.,85 S ) K V(6U)E -H

    tr1 KP Rn

    αn K,00.0 2I5.8

    ,.0 K !!Sn )n - 0.@ P 1 - 0.@ ,00.0

    UG 4 $, 9 (

    9 1 She$$ or hea# thic7ness < ) K 1 > tr2 K - N:( - !!

    UG 4 18 9 ( Mini!'! thic7ness tr3 K =.@0 !!

    9 $ Mini!'! thic7ness of stan#ar# %a$$ pipe tr$ K - N:( - !!

    tr, K =.@0 !!

    tr8 K K =.@0 !!

    -H K !! 12.00 !! 'se#. -H

    &i+e of Jeld ReAuired H UJ 4 18 9 c

    *nner i$$et Be$# t!in K S!a$$er of 1I !! or tn or te K I.00

    tc !in K S!a$$er of @ !! or 0.; t!in K @.00

    tc act K 0.; 6e=1 K ;.00 -H E

    'ter i$$et Be$# t!in K S!a$$er of 1I !! or te or t K 11.00

    t% !in K 0.5 t!in K 5.50

    t% act K 0.; 6e=2 K @.,0 -H E

    -H The eld is satisfactor6.

     NT)S Narai Ther!a$ )nineerin Services

    6arer of tr2  or tr3

    S!a$$er of tr$  or tr,

    6arer of tr1  or tr8

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 1 of 4

    Part No$e H %1; Manhole

    /o#e UG 4 35 Reinforcements reAuired for >!enings in &hells and Formed 'eads

    D / & I G * D % T %

    No$e P$ace!enent *nserte#

    inishe# #ia!eter of circ'$ar openin K Dn # 5I1.@ !!

    /orrction factor 1

    Re+'ire# thic7ness of a sea!$ess she$$ or hea# tr !!

    Re+'ire# thic7ness of a sea!$ess no$e %a$$ trn !!

     ($$o%a"$e stress va$'e in tension& No$e Sn

     ($$o%a"$e stress va$'e in tension& Vesse$ Sv

    K Sn:Sv fr1

    K Sn:Sv fr2

    )1 1

    Pa# !ateria$ co#e (STM

    Pa# !ateria$ specification ( 51@-;0

    Pa# .D. 11@0 !!

    Pa# thic7ness te 1= !!

     ($$o%a"$e stress va$'e in reinforcin e$e!ent Sp

    K< $esser of Sn or Sp >: Sv fr,

    K Sp:Sv fr=

    &i+e of Jeld ReAuired H UJ 4 18 9 c

    6e=1 10.0 !! C Min. 8.5

    6e=2 I.0 !! C Min. ;.8

    6e=, - N:( - !! C Min.

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 2 of 4

    Part No$e H %1; Manhole

    /o#e UG 4 $1 &trength of Reinforcement

    ) % < ) U < % T I > *

    %lloa(le Unit &tresses H UG 4 $, 9 c B UJ 4 1, 9 c

    i$$et Be$# Shear  &fs K 0.=I 4 V(6U)E K V(6U)E

    No$e Ba$$ Shear  &ns K 0.; 4 V(6U)E K V(6U)E

    Groove Be$# Tension &gt K 0.;= 4 V(6U)E K V(6U)E

    Groove Be$# Shear  &gs K 0.@ 4 V(6U)E K V(6U)E

    &trength of )onnection /lements C Di!ensions are in

    *nner i$$et Be$# Shear 

    9a K π / 2 x Nozzle OD x Weld Leg x S!K π / 2 x 4 4 V(6U)E K V(6U)E K V(6U)E *

    No$e Ba$$ Shear 

    9( K : 2 4 Mean No$e Dia. 4 tn 4 Sns

    K π / 2 x 4 4 V(6U)E K V(6U)E K V(6U)E N

    Groove Be$# Tension

    9c K : 2 4 No$e D 4 t 4 St

    K π / 2 x 4 4 V(6U)E K V(6U)E K V(6U)E N

    'ter i$$et Be$# Shear 

    9d K : 2 4 Pa# D 4 Be$# 6e 4 Sfs

    K π / 2 x 4 4 V(6U)E K V(6U)E K V(6U)E N

    Upper Groove Be$# Tension

    9e K : 2 4 No$e D 4 te 4 St

    K π / 2 x 4 4 V(6U)E K V(6U)E K V(6U)E N

    6o%er i$$et Be$# Shear 

    9f K : 2 4 No$e D 4 Be$# 6e 4 SfsK π / 2 x 4 4 *-% 4 4 V(6U)E K 4 *-% 4 K 4 *-% 4 N

    Sv K V(6U)E K V(6U)E N

    Be$# 6oa# for Strenth Path 2 - 2

    J242 K < (2 (, (=1 (=, 2 tn t fr1 > Sv K V(6U)E K V(6U)E N

    Be$# 6oa# for Strenth Path , - ,

    J343 K < (2 (, (5 (=1 (=2 (=, 2 tn t fr1 > Sv K V(6U)E K V(6U)E N

    Tota$ Be$# 6oa#

    J K X ( - (1 2 tn fr1 < )1 t - tr > Y Sv K V(6U)E K V(6U)E N

    )hec# &trength Paths H UG 4 $1 9 ( 9 1 B 9 2

    Path 141 9d 9( K V(6U)E V(6U)E K V(6U)E N -H

    6oa# for Path 1-1 K K V(6U)E N

    Path 242 9a 9c 9e K V(6U)E V(6U)E V(6U)E K V(6U)E N -H

    6oa# for Path 2-2 K K V(6U)E N

    Path 343 9d 9c K V(6U)E V(6U)E K V(6U)E N -H

    6oa# for Path ,-, K K V(6U)E N

    -H

     NT)S Narai Ther!a$ )nineerin Services

    S!a$$er of J141  or J 

    S!a$$er of J242  or J 

    S!a$$er of J343  or J 

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 0 of 4

    Part No$e H 1 B 2

    /o#e

    %&M/ &ec. "III; Di. 1

    UG 4 $, *o++le *ec# Thic#ness

    UJ 4 18 Minimum ReAuirements for %ttachment Jelds at >!enings

    D / & I G * D % T %

    e * > ? ? < /Materia$ /o#e %&TM %&TM

    Materia$ specification % ,1845 % 184@ - 1 1-2N - ==4&TR

    *nterna$ #esin press're P ,00 7Pa. ,00 7Pa.

    Desin te!perat're ,=0   ℃  ,=0   ℃ 

    *nsi#e #ia!eter Uncorro#e# 2&500 !! V(6U)E !!

    *nsi#e #ia!eter /orro#e# D 2&50@ !! Dn V(6U)E !!

    *nsi#e ra#i's /orro#e# R 1&25, !! Rn V(6U)E !!

    Ma4i!'! a$$o%a"$e stress va$'e S V(6U)E Sn V(6U)E

    ?oint efficienc ) 0.85 )n 1

    /orrosion a$$o%ance , !! n , !!

    No!ina$ %a$$ thic7ness Uncorro#e# 1= !! V(6U)E !!

    Ba$$ thic7ness /orro#e# t 11 !! tn V(6U)E !!

    ) % < ) U < % T I > *

    Minimum *o++le Jall Thic#ness H UG 4 $,

    UG 4 $, 9 a B UG 4 25 9 c 9 1

    /hec7s F tr1 K 0.5 R K V(6U)E -H

    P K ,00 0.,85 S ) K V(6U)E -H

    tr1 KP Rn

    αn K,00.0 V(6U)E

    ,.0 K !!Sn )n - 0.@ P 1 - 0.@ ,00.0

    UG 4 $, 9 (

    9 1 She$$ or hea# thic7ness < ) K 1 > tr2 K !!

    UG 4 18 9 ( Mini!'! thic7ness tr3 K =.@0 !!

    9 $ Mini!'! thic7ness of stan#ar# %a$$ pipe tr$ K !!

    tr, K !!

    tr8 K K !!

    -H K !! !! 'se#. -H

    &i+e of Jeld ReAuired H UJ 4 18 9 c

    *nner i$$et Be$# t!in K S!a$$er of 1I !! or tn or t K

    tc !in K S!a$$er of @ !! or 0.; t!in K

    tc act K 0.; 6e=1 K -H

    'ter i$$et Be$# t!in K S!a$$er of 1I !! or te or t K - N:( -

    t% !in K 0.5 t!in K - N:( -

    t% act K 0.; 6e=2 K - N:( - -H - N:( -

    -H

    &trength cal. for elds are *>T reAuired for this detail hich conforms to Fig. UJ 4 18. 1; s#etch 9 c O 9 e .

     NT)S Narai Ther!a$ )nineerin Services

    6arer of tr2  or tr3

    S!a$$er of tr$  or tr,

    6arer of tr1  or tr8

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 1 of 4

    Part No$e H 1 B 2

    /o#e UG 4 35 Reinforcements reAuired for >!enings in &hells and Formed 'eads

    D / & I G * D % T %

    No$e P$ace!enent *nserte#

    inishe# #ia!eter of circ'$ar openin K Dn # !!

    /orrction factor 1

    Re+'ire# thic7ness of a sea!$ess she$$ or hea# tr !!

    Re+'ire# thic7ness of a sea!$ess no$e %a$$ trn !!

     ($$o%a"$e stress va$'e in tension& No$e Sn

     ($$o%a"$e stress va$'e in tension& Vesse$ Sv

    K Sn:Sv fr1

    K Sn:Sv fr2

    )1 1

    Pa# !ateria$ co#e - N:( -

    Pa# !ateria$ specification - N:( -

    Pa# .D. - N:( - !!

    Pa# thic7ness te - N:( - !!

     ($$o%a"$e stress va$'e in reinforcin e$e!ent Sp - N:( -

    K< $esser of Sn or Sp >: Sv fr, - N:( -

    K Sp:Sv fr= - N:( -

    &i+e of Jeld ReAuired H UJ 4 18 9 c

    6e=1 !! C Min.

    6e=2 - N:( - !! C Min. - N:( -

    6e=, - N:( - !! C Min.

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    M / ) ' % * I ) % < D / & I G *  Date 05. 8. 15.  Revision 0

      Sheet No. 2 of 4

    Part No$e H 1 B 2

    /o#e UG 4 $1 &trength of Reinforcement

    ) % < ) U < % T I > *

    %lloa(le Unit &tresses H UG 4 $, 9 c B UJ 4 1, 9 c

    i$$et Be$# Shear  &fs K 0.=I 4 V(6U)E K V(6U)E

    No$e Ba$$ Shear  &ns K 0.; 4 V(6U)E K V(6U)E

    Groove Be$# Tension &gt K 0.;= 4 V(6U)E K V(6U)E

    Groove Be$# Shear  &gs K 0.@ 4 V(6U)E K V(6U)E

    &trength of )onnection /lements C Di!ensions are in

    *nner i$$et Be$# Shear 

    9a K π / 2 x Nozzle OD x Weld Leg x S!K π / 2 x 4 4 V(6U)E K V(6U)E K V(6U)E *

    No$e Ba$$ Shear 

    9( K : 2 4 Mean No$e Dia. 4 tn 4 Sns

    K π / 2 x 4 4 V(6U)E K V(6U)E K V(6U)E N

    Groove Be$# Tension

    9c K : 2 4 No$e D 4 t 4 St

    K π / 2 x 4 4 V(6U)E K V(6U)E K V(6U)E N

    'ter i$$et Be$# Shear 

    9d K : 2 4 Pa# D 4 Be$# 6e 4 Sfs

    K π / 2 x - N:( - 4 - N:( - 4 V(6U)E K - N:( - K - N:( - N

    Upper Groove Be$# Tension

    9e K : 2 4 No$e D 4 te 4 St

    K π / 2 x 4 - N:( - 4 V(6U)E K - N:( - K - N:( - N

    6o%er i$$et Be$# Shear 

    9f K : 2 4 No$e D 4 Be$# 6e 4 SfsK π / 2 x 4 4 *-% 4 4 V(6U)E K 4 *-% 4 K 4 *-% 4 N

    Sv K V(6U)E K V(6U)E N

    Be$# 6oa# for Strenth Path 2 - 2

    J242 K < (2 (, (=1 (=, 2 tn t fr1 > Sv K V(6U)E K V(6U)E N

    Be$# 6oa# for Strenth Path , - ,

    J343 K < (2 (, (5 (=1 (=2 (=, 2 tn t fr1 > Sv K V(6U)E K V(6U)E N

    Tota$ Be$# 6oa#

    J K X ( - (1 2 tn fr1 < )1 t - tr > Y Sv K V(6U)E K V(6U)E N

    )hec# &trength Paths H UG 4 $1 9 ( 9 1 B 9 2

    Path 141 9d 9( K 0 V(6U)E K V(6U)E N -H

    6oa# for Path 1-1 K K V(6U)E N

    Path 242 9a 9c 9e K V(6U)E V(6U)E 0 K V(6U)E N -H

    6oa# for Path 2-2 K K V(6U)E N

    Path 343 9d 9c K 0 V(6U)E K V(6U)E N -H

    6oa# for Path ,-, K K V(6U)E N

    -H

    S!a$$er of J141  or J 

    S!a$$er of J242  or J 

    S!a$$er of J343  or J