Appendixs Piping System Stress Analysis Examples

download Appendixs Piping System Stress Analysis Examples

of 17

Transcript of Appendixs Piping System Stress Analysis Examples

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    1/17

    ASME B31.3-2010

    38

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    #o$%ri&'t ()* +nternationalProi-e- .% +) n-er license it' ()*

    No re$ro-ction or netorin& $eritte- it'ot license fro +)

    Fig. S301.1 Simple Code CompModel

    APPENDIX S PIPING SYSTEMSTRESS ANALYSIS EXAMPLES

    5300 INTRODUCTION

    The example in this Appendix is intended to

    illustrate the application of the rules and denitions

    in Chapter II !art " Flexi#ilit$ and Support% and the

    stress limits of para. 30&.3.". The loadings and

    conditions necessar$ to compl$ 'ith the intent of

    the Code are presented.

    (10) S300.1 Defn!"n# $n% N"&en'$!*e

    global axes:These are Cartesian ( ) and * axes.

    In this Appendix +erticall$ up'ard is ta,en to #e

    the -) direction 'ith gra+it$ acting in the )

    direction.Pj:piping internal pressure% see para. 301.&% 'hen

    more than one condition exists for the piping

    s$stem each is su#scripted /e.g. !1 !& ...

    Tj:pipe maximum or minimum metal temperature%

    see paras. 301.3 and 31.3.1/a% 'hen more than

    one condition exists for the piping s$stem each is

    su#scripted

    /e.g+ TuT&2

    Y-4 a 5single acting support5 that pro+ides support

    in onl$ the +erticall$ up'ard direction and is

    considered to #e 5acti+e5 'hen the pipe exerts a

    do'n'ard force on the support. The pipe is free to

    mo+e up'ard i.e. the pipe 5lifts o65 the support%the support in the 5lifto65 situation is considered to

    #e 5remo+ed5 from pro+iding support i.e. inacti+e

    during the load condition considered.

    5301 EXAMPLE 1+ CODECOMPLIANT PIPINGSYSTEM

    S301.1 E,$&e De#'*!"n

    This example is intended to illustrate the design

    of an ade7uatel$ supported and su8cientl$ 9exi#le

    piping s$stem. The piping s$stem in Fig. S301.1 is

    fa#ricated from ASTM A 10: ;rade < seamless pipe

    /i.e. E = 1.00% the pipe is => ?00 />!S 1: 'ith a

    nominal 'all thic,ness of ."3 mm /0.3@" in. 1&@

    mm /" in. thic,ness of calcium silicate insulation

    and 1." mm /0.0:3 in. corrosion allo'ance% the

    9uid has a specic gra+it$ of 1.0. The e7ui+alent

    num#er of c$cles expected for the piping s$stem is

    fe'er than @ 000 i.e. f =1.00 in accordance 'ith

    para. 30&.3."/dB.

    The piping

    s$stem is in

    normal 9uid ser+ice. The

    installation temperature

    is &1C /@0F. The

    reference modulus of

    elasticit$ used for the

    piping anal$sis is &03.?

    ;!a /&." Msi from

    Appendix C Ta#le C: in

    T$e S301.1

    Te&e*$!*e/P*e##*e C"&n$!"n#

    accordance 'ith paras. 31.3.& and 31.?.? and

    !oissonDs ratio is 0.3 in accordance 'ith para. 31.3.3.

    The piping internal pressure maximum and minimum

    metal temperatures expected during normal operation

    and the design conditions are listed in Ta#le S301.1. The

    design conditions are set su8cientl$ in excess of the

    operating conditions so as to pro+ide additional margin

    on the allo'a#le stress for pressure design as re7uired

    #$ the o'ner.

    S301.2 De#n C"n%!"n#

    The design conditions esta#lish the pressure rating

    9ange ratings component ratings and minimumre7uired pipe 'all thic,ness in accordance 'ith para.

    301.&.1. For example ASME

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    2/17

    ASME B31.3-2010

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    o$%ri&'t ()* +nternationalroi-e- .% +) n-er license it' ()*

    o re$ro-ction or netorin& $eritte- it'ot license fro +)

    design conditions #$ inserting e7. /3a into e7. /&%

    terms are dened in para. 30?.1.1 and Appendix H4

    E =1.0

    P =design pressure 3

    @" ,!a /""0 psi

    S =allo'a#le stress from Appendix A Ta#le A1

    1&" M!a /1.1 ,si at design temperature &C

    /""0F

    Y =0.? from Ta#le 30?.1.1

    Insert e7. /3a into e7. /&4

    !=tm= t- C &/SE - !) - C

    /3@" ,!a/?0:.? mm . " &/1&" M!a/1.00 - /3@" ,!a/0.?B - 1" mm

    :.10 mm - 1." mm @.: mm /0.303 in.

    In accordance 'ith para. 30?.1.&/a tmust #e less

    than =2: for e7. /3a to #e appropriate 'ithout

    considering additional factors to compute the

    pressure design thic,ness t /i.e. t < D/6, or @.:mm J ?0:.? mm2:. Since @.: mm /0.303 in. J

    :@.@ mm /&.:@ in. e7. /3a is applica#le 'ithout

    special consideration of factors listed in para.

    30?.1.&/#.

    >o' select a pipe schedule of ade7uate thic,ness.

    =etermine the specied minimum pipe 'all

    thic,ness T from nominal pipe 'all thic,ness T

    considering a mill tolerance of 1&."K.

    Select => ?00 />!S 1: Schedule 302ST= nominal

    'all thic,ness from ASME tm/i.e. .3? mm L @.: mm the selectionof the nominal pipe 'all thic,ness T for Schedule

    302ST= pipe is accepta#le. The long radius el#o's

    specied for this piping s$stem are in accordance

    'ith ASME

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    3/17

    T$e S301.3.2 Ee&en! C"nne'!4!6 Te6 $n% Len!#

    ASME B31.3-2010

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    #o$%ri&'t ()* +nternationalProi-e- .% +) n-er license it' ()*No re$ro-ction or netorin& $eritte- it'ot license fro +)

    &"

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    4/17

    ;E>ERAO >GTE4 This piping s$stem is planar i.e. D"=0 m /ft for each piping element.

    >GTE4

    /1 The specied element lengths are measured to and2or from each el#o's tangent

    intersection point.

    T$e S301.5.1 Oe*$!n L"$% C$#e Re#!#+ In!e*n$ L"$%#$n% De7e'!"n#

    >GTE4

    /1 Ooads and de9ections are a+eraged from commercial programs 'ith a +ariance

    'ithin units con+ersion tolerance.

    T$e S301.5.2 Oe*$!n L"$% C$#e Re#!#+ Re$'!"n L"$%#"n S"*!# $n% An'"*#

    >GTE4

    /1 Ooads and de9ections are a+eraged from commercial programs 'ith a +ariance

    'ithin units con+ersion tolerance.

    From To D#, m /ft DY, m /ft Element T$pe

    10 1" :.10 /&0 10 anchor 1" #isectionnode

    1" &0 :.10 /&0 &0 ) support

    &0 30 3.0" /10 T reeno e e o' >ote1 B

    30 ?0 :.10 /&0 Threenode el#o' >ote/1B

    ?0 ?" 3.0" /10 Informational node

    ?" "0 :.10 /&0 "0 anchor

    ode

    >um#erAxial Force >/l# /Signed

    >ote /1B

    Moment >m /ftl#/Qnsigned >ote /1B

    oriPontal=e9ection mm

    /in. >ote /1B

    ertical=e9ection

    mm /in. >ote/1B

    10 -&: "00 /-":0 &1 "&0 /1"@0 0.00 0.00

    1" &: "00 /":0 10 @10 /@00 1.3 /0.@& 1.3 /0.0"

    &0 &: "00 /":0 ?@ ":0 /3"00 3:.@ /1.?? 0.00

    30 near &: "00 /":0 "@ "30 /?&??0 ??.0 /1.@3 3.@ /0.1?30 mid ?: 300 /10?10 : :0 /"1"30 ??.@ /1.@: &.3 /0.0

    30 far 3@ 00 /"00 :" 3&0 /?10 ?1.? /1.:3 0.? /0.0&

    ?0 near &" &0 /"30 :3 30 /?@1:0 &3.0 /0.1 1".1 /0."

    ?0 mid 3: &"0 /1"0 @0 :0 /"&&@0 &:.? /1.0? 1@. /0.@0

    ?0 far &: "00 /":0 :" 10 /?00 &".@ /1.01 1.& /0.@"?" &: "00 /":0 1? 00 /100 1.3 /0.@& 13." /0."3

    "0 &: "00 /":0 ?@ ?0 /3"030 0.00 0.00

    ;lo#al Axis Forces and Moments>ode $#,

    > /l# /Signed >ote /1B

    > /l# /Signed >ote /1B %",

    >m /ftl#/Qnsigned >ote/1B

    10 anchor &: "00 /":0 1& @10 /&:0 &1 "&0 /1"@0

    &0 support :3 0"0 /1?10

    "0 anchor -&: "00 /-":0 -& 10 /-:30 ?@ ?0 /3"030

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    5/17

    &:

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    6/17

    &@

    T$e S301.8 S#!$ne% 9"*'e# $n% S!*e##e# :A";$e6 Sh=130 MP$ (1

    >GTES4

    /1 Ooads de9ections and stresses are a+eraged from commercial programs 'ith a

    +ariance 'ithin units con+ersion tolerance.

    /& Axial forces ha+e their sign retained and do not include the signed axial pressure

    force 'hich is also included in the sustained stress S!&

    (10) S301.8 Te S#!$ne% L"$% C$#e

    Sustained stresses due to the axial force internal

    pressure and intensied #ending moment in this

    example are com#ined to determine the sustained

    longitudinal stress SO. The sustained load case

    excludes thermal e6ects and includes the e6ects of

    internal pressure P1 3?"0 ,!a /"00 psiB pipe

    'eight insulation 'eight and 9uid 'eight on the

    piping s$stem.

    >ominal section properties are used to generate

    the sti6ness matrix and sustained loads for the

    computer model in accordance 'ith para. 31.3.".

    The nominal thic,ness less allo'ances is used to

    calculate the section properties for the sustained

    stress SO in accordance 'ith para. 30&.3."/c.

    A summar$ of the sustained load case internalreaction forces moments and sustained stresses

    S!, is pro+ided in Ta#le S301.:. Since this example

    model lies in onl$ one plane onl$ the sustained

    #ending stress due to the inplane #ending moment

    is not Pero. The inplane #ending moment is

    intensied at each el#o' #$ the appropriate index

    for an un9anged el#o'. >ote that sustained stresses

    for the nodes listed in Ta#le S301.: do not exceed

    the 130 M!a /100 psi sustained allo'a#le stress

    S',for A 10: ;rade < piping at the maximum metal

    temperature T1 &:0C /"00F from Appendix A

    Ta#le A1. ominal section properties are used to generat

    the sti6ness matrix and displacement stress in the pipin

    in accordance 'ith para. 31.3.". Since this examp

    model lies in onl$ one plane onl$ the inplane #endin

    moment is not Pero. The inplane moment is intensied a

    each el#o' #$ the appropriate Appendix = stres

    intensication factor U for an un9anged el#o'.

    For simplicit$ the allo'a#le displacement stress rang

    S, is calculated in accordance 'ith e7. /1a. Though e7

    /1a is used in this example it is also accepta#le t

    calculate SAin accordance 'ith e7. /1# 'hich permits S

    to exceed the e7. /1a +alue for each piping elemen#ased on the magnitude of each elementDs sustaine

    stress SO.

    The follo'ing terms are as dened in para. 30&.3."/d

    and Appendix H4

    f =1.00 for J @ 000 e7ui+alent c$cles from Fig.

    30&.3." or e7. /1c

    SA f/1.&"Sc- 0.&"Sh

    /1.00/1.&"/13 M!a - /0.&"/130 M!aB

    &0" M!a /&@&" psi

    Sc allo'a#le stress from Appendix A Ta#le A1 13

    M!a /&0.0 ,si at T&S' allo'a#le stress from Append

    A Ta#le A1 130 M!a /1. ,si at T1T1 maximum

    metal temperature =&:0C /"00F

    T& minimum metal temperature

    1C /30F

    >ote that each piping elementDs displacement stres

    range #ased on minimum to maximum metal tempera

    ture for the thermal c$cles under anal$sis SE does no

    exceed the e7. /1a allo'a#le SA. ode Axial

    Force> /l# /Signed >ote /1B

    m /ft

    l# /Qnsigned >ote /1B

    Sustained

    Stress

    Su,!a /psi

    >ote /&B

    10 anchor -3 &@0 /-@3" 1@ &:0 /1&@30 " 100 /":0

    &0 support 3 &@0 /@3" ": 130 /?1?00 &00 /1?3@0

    30 far 1 0 /??@0 1: 3&0 /1&0?0 @& @00 /l0"?0?0 far -3 &@0 /-@3" & 3?0 /1@30 ?: 0"0 /::0

    "0 anchor -3 &@0 /-@3" 3@ :0 /&@30 0 3"0 /11:"0

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    7/17

    ASME B31.3-2010

    42

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    #o$%ri&'t ()* +nternationalProi-e- .% +) n-er license it' ()*

    No re$ro-ction or netorin& $eritte- it'ot license fro +)

    L

    ;lo#al Axis Forces and Moments

    $#, $Y, %", SE

    > /l# > /l# >m /ftl# From E7. /1@/Qnsigned /Qnsigned /Qnsigned ,!a /psi

    >ode >ote /1B >ote /1B >ote /1B >ote /1B

    10 anchor &" 0@0 /":?0 1 130 /&:0 ? :00 /330 ? 000 /"0

    &0 support &" 0@0 /":?0 1 130 /&:0 &"0 /:&0 0?0 /l1@0

    30 mid &" 0@0 /":?0 :0 &"0 /????0 13@ 000 /1@0?0 mid &" 0@0 /":?0 1 330 @: @?0 /"::00 1@? "00 /&"300

    "0 anchor &" 0@0 /":?0?3"0

    & 110 /:@?0 @ 00 /11:00

    >GTE4

    /1 Ooads de9ections and stresses are a+eraged from commercial programs 'ith a +ariance 'ithin

    units con+ersion tolerance.

    Ta#le S301.@ =isplacement Stress Range SV &0" M!a /&@&"psiB

    Considering #oth the sustained and displacement stress

    range load cases the piping s$stem is compliant 'ith the

    re7uirements of the Code% redesign of the piping s$stem

    is not re7uired unless the sustained or operating reaction

    loads at either anchor data point 10 or "0 exceed the

    allo'a#le loads for the attached e7uipment noPPle or the

    support structure at node &0 is o+erloaded. The noPPle

    load and support structure anal$ses are #e$ond the scopeof this Appendix and are not addressed.

    S302 EXAMPLE 2+ ANTICIPATEDSUSTAINED

    CONDITIONS CONSIDERING PIPE LI9T-O99

    5302.1 E,$&e De#'*!"n

    This example is intended to illustrate the anal$sis of a

    piping s$stem in 'hich a portion of the piping lifts o6 at

    least one )- support in at least one operating condition.

    The emphasis of this example is to descri#e Dhe e6ect this

    remo+al of support has on the determination of

    anticipated sustained conditions. The same principlesutiliPed for this example 'ould also appl$ for guides and

    stops /that are single directional or gapt$pe that are not

    engaged during an$ anticipated operating condition.

    The examples in this Appendix are intended for illus

    tration purposes onl$ and are not intended to portra$ the

    same as either ade7uate or e+en accepta#le piping

    geometries and2or support scenarios. The piping s$stem

    in Fig. S30&.1 is the same in material and dimensional

    properties as in Example 1% see para. S301.1. >ote that

    #oth the design and operating conditions are 'ell #elo'

    the creep regime% therefore the piping s$stem 'ill not

    de+elop an$ permanent creeprelated displacements

    relaxation or sag.

    5302.2 De#n C"n%!"n#

    The design conditions are similar to those in the Exam

    ple 1 model% see para. S301.& and Ta#le S30&.1. >ote that

    the minimum thic,ness remains unchanged from

    9. S302.1 L@!-O M"%e

    T$e S302.1 Te&e*$!*e/P*e##*e

    C"&n$!"n#

    Example 1 e+en though the design conditions ha+

    increased slightl$. The h$drotest pressure does increas

    from : 03 ,!a /@" psi to : @& ,!a /@" psi.

    S302.3 C"&!e* M"%e In!

    Ta#le S30&.3 lists the node num#ers lengths etc. fo

    each piping component that is displa$ed in Fig. S30&.1

    The computer#ased options are the same as those fo

    the Example 1 model% see para. S301.3.

    /?0 ft m /30 ft /30 ft m /?0 ft

    /10 /10

    W :tW

    "

    X

    :.1 m

    /&0 ft

    2. YsY.Y

    (

    W /&0 /30 D130 /1&0 /11"/110

    Conditions !ressure Temperature

    =esign conditions 3 : ,!a 30&C

    "@"F

    /"@" psi

    Gperating P1 T1 3 @" ,!a & ""0

    metal temperature /""0 psi

    /Gperating Case 1

    Gperating /P& T& 0 ,!a /0 psi 1C /30F

    metal temperature/Gperating Case &

    Installation temperature &1C /@0F

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    8/17

    T$e S302.3 Gene*' Pe S!*e## M"%e In!+C"&"nen! C"nne'!4!6 Te6 $n% Len!#

    ASME B31.3-2010

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    o$%ri&'t ()* +nternationalroi-e- .% +) n-er license it' ()*

    o re$ro-ction or netorin& $eritte- it'ot license fro +)

    5302. P*e##*e Ee'!#

    The pressure e6ect considerations are the same as

    those for Example 1% see para. 301.?.

    5302.5 Te Oe*$!n L"$% C$#e

    The operating condition e+aluated and discussed in

    this example Gperating Case 1 includes the e6ects

    of pipe 'eight insulation 'eight 9uid 'eight internal

    pressure !N 3 @" ,!a /""0 psiB and temperature

    T1 &C /""0FB. An operating load case is

    e+aluated to determine the operating position of the

    piping and determine the reaction loads for an$

    attached e7uipment anchors supports guides or

    stops. In particular each operating load caseDs

    support scenario is e+aluated or assessed #$ the

    designer in order to determine 'hether an$

    anticipated sustained conditions need to #e e+aluated

    'ith one or more )- supports remo+ed. Further

    operating load case discussion can #e found in para.

    S301.".

    !iping loads acting on the anchors and support

    structure for Gperating Case 1 are listed in Ta#le

    S30&.".1. >ote that onl$ nodes 10 through "0 are

    listed in the follo'ing ta#les% this is #oth forcon+enience since the model is s$mmetric and for

    comparison to Example 1 e.g. the loads de9ections

    and stresses for nodes 10 through ?0 are the same as

    for nodes 110 through 1?0 except that some signs

    ma$ #e re+ersed.

    5302.8 S#!$ne% C"n%!"n#

    (10) S302.8.1 Te S!*e## De !"S#!$ne% L"$%#6 SL,

    C$'$!"n#. The stress due to /longtermsustained loads S!, is computed in accordance 'ith

    para. 3&0.&

    for each sustained condition that is e+aluated% see

    para. S30&.:.&.

    5302.8.2 An!'$!e% S#!$ne%C"n%!"n#. Aanticipated sustained conditions utiliPing all possi#le

    support scenarios should #e considered. The designer

    has identied four anticipated sustained conditions

    for this piping s$stem% each is listed in Ta#le

    S30&.:.&.1 along 'ith the support status of the node"0 )- support as either assessed #$ anal$sis or

    determined #$ the designer. The designer has

    deemed the Sustained Condition 3 as #oth controlling

    the sustained design and re7uiring e+aluation.

    5302.8.3 Re#!# @"* !e E4$$!e%S#!$ne% C"n%!"n. The Sustained Condition3 re9ects the support scenario of the Gperating Case

    1 excludes thermal e6ects and includes the e6ects

    of internal pressure !N 3 @" ,!a /""0 psiB pipe

    'eight insulation 'eight and 9uid 'eight on the

    piping s$stem. A summar$ of the Sustained Condition

    3 internal reaction forces moments and sustained

    stresses S!,appears in Ta#le S30&.:.3.1. See para.

    S301.: for additional information concerning the

    sustained stress determination.

    5302.? D#$'e&en! S!*e##R$ne L"$% C$#e#

    The displacement stress range load cases are not

    listed since the$ are not the su#Nect of this example.

    5302.< C"%e C"&$n'e+S$!#@n !e In!en! "@ !eC"%e

    The Sustained Condition 3 results indicate that the

    From To Zm

    )m

    ZG Component T$pe

    10 1" :.10 /&0 10 anchor

    1" informationalno e

    1" &0 :.10 /&0 &0 Ysupport

    &0 30 3.0" /10 T ree no e e o' /1B

    30 ?0 :.10 /&0 T ree no e e o' /1B

    ?0 ?" 3.0" /10 Informational node

    ?" "0 :.10 /&0 "0 )- support

    110 11" :.10 /&0 110 anchor

    11" informational

    11" 1&0 :.10 /&0 1&0 Ysupport

    1&0 130 3.0" /10 Three node el#o' /1B

    130 1?0 :.10 /&0 T ree no e e o' /1B

    1?0 1?" 3.0" /10 Informational node

    1?" "0 :.10 /&0

    >GTE4

    /1 The specied component lengths are measured to and2or from each el#o's tangent

    intersection point.

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    9/17

    T$e S302.3 Gene*' Pe S!*e## M"%e In!+C"&"nen! C"nne'!4!6 Te6 $n% Len!#

    ASME B31.3-2010

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    o$%ri&'t ()* +nternationalroi-e- .% +) n-er license it' ()*

    o re$ro-ction or netorin& $eritte- it'ot license fro +)

    piping s$stem is not protected against collapse for the c$cles under anal$sis 'hen considering the Gperating

    &

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    10/17

    ASME B31.3-2010

    44

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    #o$%ri&'t ()* +nternationalProi-e- .% +) n-er license it' ()*

    No re$ro-ction or netorin& $eritte- it'ot license fro +)

    T$e S302.5.1 Re#!# @"* Oe*$!n C$#e 1+ Re$'!"n L"$%# "n S"*! $n%An'"*#

    >GTES4

    /1Ooads and de9ections are a+eraged from commercial programs 'ith a +ariance

    'ithin units con+ergence tolerances. Magnitudes of loads for nodes 10 and &0 are

    the same for 110 and 1&0 #ut ma$ di6er in sign.

    /& >o support is pro+ided at the node "0 )- restraint for Gperating Case 1.

    T$e S302.8.2.1 S#!$ne% L"$% C"n%!"n L#!n

    >GTES4

    /1 The original /asinstalled condition considers onl$

    pipe 'eight and insulation 'eight 'ithout 9uid

    contents or internal pressure.

    /& The Sustained Conditions re9ect the support

    scenario of the related Gperating Conditions

    exclude thermal e6ects and include the e6ects of

    the related internal pressure pipe 'eight

    insulation 'eight and 9uid 'eight on the piping

    s$stem.

    T$e S302.8.3.1 S#!$ne% 9"*'e# $n% S!*e##e# @"* S#!$ne% C"n%!"n 3 !N"%e 50 S"*! Re&"4e% :A";$e Sh=12.5 MP$ (1

    >GTES4

    /1 Ooads and de9ections are a+eraged from commercial programs 'ith a +ariance 'ithin units con+ergence

    tolerance. The magnitude of loads and stresses for nodes 10 through ?0 are the same for 110 and 1?0 though the

    loads ma$ di6er in sign.

    /& Forces ha+e their sign retained #ut do not include the signed axial pressure force necessar$ to compute the axial

    stress 'hich is included in the sustained stress S!&

    /3 Stress ma$ di6er #$ slightl$ more than units con+ersion tolerance.

    /? >o support is pro+ided at the node "0 )- restraint for Sustained Condition 3.

    >ode $x,> /l# /Signed >ote /1B

    $*,> /l# /Signed >ote /1B

    %+,>m /ftl#

    /Qnsigned >ote/1B

    10 anchor &: :00 /"@" 1? 0"0 /31"0 &@ 000100

    &0 " 00 /13&"0"0 2- 0 >ote /&B

    Sustained Condition >ode "0s Support Status

    /Acti+e2Remo+ed

    14

    As installed >ote /1B Acti+e

    & P1>ote /&B Acti+e3 !1 >ote /&B Inacti+e

    ? P& >ote /&B Acti+e

    >ode ;lo#al Axis Forces and Moments >ote /1B Sustained S!, ,!a/psi >otes /& /3B

    $x,> /l#/Signed>ote

    ,

    > /l# /Signed >ote /&B%+, >m /ftl# /Qnsigned

    10 anchor 1& "@" /&&" 3" /1" 3 " /&?" ? :?" /@0""

    &0 support 1& "@" /&&" :? ":" /1?"1" & ?" /:10" 1& @" /1"0

    30 far 1& "@" /&&" 3? " /@:" & " /&&11" 101 &0 /1?@0

    ?0 mid 1& "@" /&&" &1 "0 /?3" 3& @@0 /&?1:" 10 "&" /1"@?0

    "0 )- 1& "@" /&&" 0 >ote /?B :& " /?:3@" 10 3" /1":"

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    11/17

    ASME B31.3-2010

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    o$%ri&'t ()* +nternationalroi-e- .% +) n-er license it' ()*

    o re$ro-ction or netorin& $eritte- it'ot license fro +)

    9. S303.1 M"&en! Re4e*#$M"%e

    Case 1. Therefore redesign of the piping s$stem is

    re7uired.

    If the piping s$stem is redesigned such that it is

    compliant 'ith the intent of the Code then the pipings$stem 'ould re7uire no further attention unless the

    sustained h$drotest or operating reaction loads at

    either anchor data point 10 or 110 exceed the

    allo'a#le loads for the attached e7uipment noPPle or

    the support structure at either node &0 or 1&0 is

    o+erloaded. The noPPle loads and support structure

    anal$ses are #e$ond the scope of this Appendix and

    are not addressed. Although the occasional load

    cases are important to the design and anal$sis of a

    piping s$stem the$ are not discussed in this

    example.

    S303 EXAMPLE 3+ MOMENT REERSALS303.1 E,$&e De#'*!"n

    This example is intended to illustrate the 9exi#ilit$

    anal$sis re7uired for a piping s$stem that is designed

    for more than one operating condition and also

    experiences a 5re+ersal of moments5 #et'een an$

    t'o of the anticipated operating conditions. The

    examples in this Appendix are intended for

    illustration purposes onl$ and are not intended to

    portra$ the same as either ade7uate or e+en

    accepta#le piping geometries and2 or support

    scenarios.

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    12/17

    ASME B31.3-2010

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    o$%ri&'t ()* +nternationalroi-e- .% +) n-er license it' ()*

    o re$ro-ction or netorin& $eritte- it'ot license fro +)

    301

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    13/17

    ASME B31.3-2010

    4

    Licensee=YPF/5915794100

    Not for Resale, 07/05/2011 13:38:11 !"

    #o$%ri&'t ()* +nternationalProi-e- .% +) n-er license it' ()*

    No re$ro-ction or netorin& $eritte- it'ot license fro +)

    T$e S303.1 P*e##*e/Te&e*$!*e C"&n$!"n#

    ;E>ERAO >GTE4 For computer #ased temperature and pressure data input consider the [est either pressure sti6ening nor ote /&B /&"0 psi /&"0F /0 psi /?0F /&"0 psi /&"0F

    Installation ?."C ?."C ?."Ctemperature /?0F /?0F /?0F

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    14/17

    T$e S47.3 Gene*' Pe S!*e## M"%e In!+C"&"nen! C"nne'!4!6 Te6 $n% Len!#

    ASME B31.3-2010

    #o$%ri&'t ()* +nternationalProi-e- .% +) n-er license it' ()* Licensee=YPF/5915794100

    No re$ro-ction or netorin& $eritte- it'ot license fro +) Not for Resale, 07/05/2011 13:38:11 !"

    From To D#, m /ft D", m /ft Component T$pe

    10 &0 1."& /" 10 anchor /=> :00

    eader &0 'elding tee

    &0 30 1."& /" 30 'elding tee

    30 3" 0.@: /&." 3" simulated end cap

    &0 ?0 1."& /" ?0 'elding tee?0 ?" 0.@: /&." ?" end cap

    ?0 110 1."& /" /East => "00 /&000 l# meter130 1?0 1."& /" 1?0 pipe segment

    1?0 3?0 1."& /" 3?0 'elding tee

    30 &10 1."& /" /[est => "00 /&000 l# meter

    &30 &?0 1."& /" &?0 pipe segment

    &?0 330 1."& /" 330 'elding tee

    310 3&0 1."& /" /=> :00 eader310 anchor free in the (

    /axial directionB 3&0 'eldingtee

    3&0 330 1."& /" 330 'elding tee330 33" 0.@: /&." 33" end cap

    3&0 3?0 1."& /" 3?0 'elding tee

    3?0 3?" 0.@: /&." 3?" end cap

    ;E>ERAO >GTE4 This pipings$stem isplanar i.e. DY=0 m /0 ft for each piping component.

    'hen considering the e7. /1# allo'a#le SV. There

    fore redesign of the piping s$stem is re7uired.

    The redesign should consider the additional impact

    of a+erage axial displacement stresses in accordance

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    15/17

    T$e S48.3 Gene*' Pe S!*e## M"%e In!+C"&"nen! C"nne'!4!6 Te6 $n% Len!#

    ASME B31.3-2010

    #o$%ri&'t ()* +nternationalProi-e- .% +) n-er license it' ()* Licensee=YPF/5915794100

    No re$ro-ction or netorin& $eritte- it'ot license fro +) Not for Resale, 07/05/2011 13:38:11 !"

    'ith the recommendations in para. 31.&.3/c. If

    the piping s$stem is redesigned such that it is

    compliant 'ith the intent of the code then the piping

    s$stem 'ould re7uire no further attention unless the

    sustained h$drotest or operating reaction loads at

    either anchor data point 10 or 310 or meter runs 130

    or &30 exceeded the allo'a#le loads for the attached

    e7uipment noPPles or support structure. The meter

    loads noPPle loads and support structure anal$ses

    are #e$ond the scope of this example. Although the

    occasional load cases are important to the design and

    anal$sis of a piping s$stem the$ are not discussed in

    this example.

    303

    T$e S303.?.1 C$#e 1+ D#$'e&en!S!*e## R$ne :E. (1$) A";$e SA=2

    ;lo#al Axis Forces and Moments

    $x, %*, E7. /1@

    > /l# >m/ftl# SE,

    /Signed /Signed ,!a /psi

    >ode >ote/1B >ote /1B >ote/&B

    >GTES4

    /1 Ooads are a+eraged from commercial programs and are directl$ a6ected #$ the

    sti6ness chosen for +al+es 9anges and other relati+el$ sti6 components.

    /& Stress ma$ di6er #$ slightl$ more than units con+ersion tolerance.

    10 anchor 0 1?@ ?@0 /10@"" "" :10 /0:"

    &0 tee 0 1?@ ?@0 /10@"" 1 ?" &@""30 tee @ ?" /1@:?" ?" 00 /33"0 ? 3:0 /1&&3

    ?0 tee @ ?" /1@:?" ?" 00 /33"0 ? 3:0 /1&&3

    110 Y @ ?" /1@:?" ?" 00 /33"0 &" 1"" /3:"0

    1&0 @ ?" /1@:?" ?" 00 /33"0 &" 1"" /3:"0

    130 meter @ ?" /1@:?" ?" 00 /33"0 &" 1"" /3:"0

    1?0 Y @ ?" /1@:?" ?" 00 /33"0 &" 1"" 3:"0

    3?0 tee @ ?" /1@:?" ?" 00 /33"0 ? 3:0 1&&3

    &10 Y @ ?" /1@:?" ?" 00 /33"0 &" 1"" /3:"0&&0 @ ?" /1@:?" ?" 00 /33"0 &" 1"" 3:"0

    &30 meter @ ?" /1@:?" ?" 00 /33"0 &" 1"" /3:"0

    &?0 Y @ ?" /1@:?" ?" 00 /33"0 &" 1"" 3:"0

    330 tee @ ?" /1@:?" ?" 00 /33"0 ? 3:0 1&&3

    310 anchor 0 1?@ ?@0 /10@"" "" :10 0:"

    3&0 tee 0 1?@ ?@0 /10@"" 1 ?" /&@""

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    16/17

    T$e S49.3 Gene*' Pe S!*e## M"%e In!+C"&"nen! C"nne'!4!6 Te6 $n% Len!#

    ASME B31.3-2010

    #o$%ri&'t ()* +nternationalProi-e- .% +) n-er license it' ()* Licensee=YPF/5915794100

    No re$ro-ction or netorin& $eritte- it'ot license fro +) Not for Resale, 07/05/2011 13:38:11 !"

    30?

    T$e S303.?.2 C$#e 2+ D#$'e&en!S!*e## R$ne :E. (1$) A";$e SA=2

    ;lo#al Axis Forces and Moments$x, %*, E7. /1@> /l# >m/ftl# SE,

    /Signed /Signed ,!a /psi

    >ode >ote/1B >ote /1B >ote/&B

    >GTES4

    /1 Ooads are a+eraged from commercial programs and are directl$ a6ected #$ the

    sti6ness chosen for +al+es 9anges and other relati+el$ sti6 components.

    /& Stress ma$ di6er #$ slightl$ more than units con+ersion tolerance.

    30"

    T$e S303.?.3 L"$% C"&n$!"n C"n#%e*n C$#e# 1 $n% 26T"!$ S!*$n B$#e%+ D#$'e&en! S!*e## R$ne :E. (1)

    A";$e SA=3?=.< MP$ (55.1 #)+ 9$#>;lo#al Axis Forces and Moments >ote /1B E7 /1@

    $x, %*, SE,

    > /l# >m/ftl# ,!a /psi

    >ode /Signed /Signed >otes /&/3B

    10anchor 0 1?@ ?@0 /10@"" "" :1 0:

    &0tee 0 1?@ ?@0 10@"" 1 ? 0"30 tee @ ?" /1@:?" ?" 00 33"0 ? 3: 1&&

    ?0 tee @ ?" /1@:?" ?" 00 33"0 ? 3: 1&&

    110 Y @ ?" /1@:?" ?" 00 33"0 &" 1" 3:"

    1&0 @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"130 meter @ ?" /1@:?" ?" 00 33"0 &" 1" 3:"

    1?0 Y @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"

    3?0 tee @ ?" /1@:?" ?" 00 33"0 ? 3: 1&&

    &10 Y @ ?" /1@:?" ?" 00 33"0 &" 1" 3:"

    &&0 @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"&30 meter @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"

    &?0 Y @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"330 tee @ ?" /1@:?" ?" 00 33"0 ? 3: /1&&

    310 anchor 0 1?@ ?@0 10@"" "" :1 /0:3&0 tee 0 1?@ ?@0 /10@"" 1 ? 0"

  • 8/10/2019 Appendixs Piping System Stress Analysis Examples

    17/17

    T$e S50.3 Gene*' Pe S!*e## M"%e In!+C"&"nen! C"nne'!4!6 Te6 $n% Len!#

    ASME B31.3-2010

    #o$%ri&'t ()*+nternational

    ;E>ERAO >GTE4Thesustainedstress used in determining the e7. /1# allo'a#le fornodes &0 and 3&0

    is S! & 30 ,!a /?11" psi.

    >GTES4

    /1 Ooads are a+eraged from commercial programs and are directl$ a6ected #$ the

    sti6ness chosen for +al+es 9anges and other relati+el$ sti6 components.

    /& Stress ma$ di6er #$ slightl$ more than units con+ersion tolerance.

    /3 The additional impact of a+erage axial displacement stresses in accordance

    'ith the recommendations in para. 31.&.3/c has not #een included in determining

    the displacement stress range.

    30:

    10 anchor 0 &? ?0 /&1@"10 111 &&0 1:130

    &0 tee 0 &? ?0 /&1@"10 3@ 0 /""10

    30 tee 1": @0 /3"&0 1 00 /:@@00 1: @&0 &??@?0 tee 1": @0 /3"&0 1 00 /:@@00 1: @&0 /&??@

    110 Y 1": @0 /3"&0 1 00 /:@@00 "0 310 /@300

    1&0 1": @0 /3"&0 1 00 /:@@00 "0 310 /@300

    130 meter 1": @0 /3"&0 1 00 /:@@00 "0 310 /@300

    1?0 Y 1": @0 /3"&0 1 00 /:@@00 "0 310 /@300

    3?0 tee 1": @0 /3"&0 1 00 /:@@00 1: @&0 &??@

    &10 Y 1": @0 /3"&0 1 00 /:@@00 "0 310 /@300

    &&0 1": @0 /3"&0 1 00 /:@@00 "0 310 /@300

    &30 meter 1": @0 /3"&0 1 00 /:@@00 "0 310 /@300

    &?0 Y 1": @0 /3"&0 1 00 /:@@00 "0 310 /@300

    330 tee 1": @0 /3"&0 1 00 /:@@00 1: @&0 &??@

    310 anchor 0 &? ?0 /&1@"10 111 &&0 1:13

    3&0 tee 0 &? ?0 /&1@"10 3@ 0 /""10