Appendixs Piping System Stress Analysis Examples
Transcript of Appendixs Piping System Stress Analysis Examples
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ASME B31.3-2010
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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
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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$stem are in accordance
'ith ASME
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;E>ERAO >GTE4 This piping s$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 $#,
> /l# /Signed >ote /1B
> /l# /Signed >ote /1B %",
>m /ftl#/Qnsigned >ote/1B
10 anchor &: "00 /":0 1& @10 /&:0 &1 "&0 /1"@0
&0 support :3 0"0 /1?10
"0 anchor -&: "00 /-":0 -& 10 /-:30 ?@ ?0 /3"030
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&@
T$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
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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
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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$pe
10 1" :.10 /&0 10 anchor
1" informationalno e
1" &0 :.10 /&0 &0 Ysupport
&0 30 3.0" /10 T ree no e e o' /1B
30 ?0 :.10 /&0 T ree no e e o' /1B
?0 ?" 3.0" /10 Informational node
?" "0 :.10 /&0 "0 )- support
110 11" :.10 /&0 110 anchor
11" informational
11" 1&0 :.10 /&0 1&0 Ysupport
1&0 130 3.0" /10 Three node el#o' /1B
130 1?0 :.10 /&0 T ree no e e o' /1B
1?0 1?" 3.0" /10 Informational node
1?" "0 :.10 /&0
>GTE4
/1 The specied component lengths are measured to and2or from each el#o's tangent
intersection point.
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piping s$stem is not protected against collapse for the c$cles under anal$sis 'hen considering the Gperating
&
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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
$x,> /l#/Signed>ote
,
> /l# /Signed >ote /&B%+, >m /ftl# /Qnsigned
10 anchor 1& "@" /&&" 3" /1" 3 " /&?" ? :?" /@0""
&0 support 1& "@" /&&" :? ":" /1?"1" & ?" /:10" 1& @" /1"0
30 far 1& "@" /&&" 3? " /@:" & " /&&11" 101 &0 /1?@0
?0 mid 1& "@" /&&" &1 "0 /?3" 3& @@0 /&?1:" 10 "&" /1"@?0
"0 )- 1& "@" /&&" 0 >ote /?B :& " /?:3@" 10 3" /1":"
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ASME B31.3-2010
Licensee=YPF/5915794100
Not for Resale, 07/05/2011 13:38:11 !"
o$%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.
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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& $eritte- it'ot license fro +)
301
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4
Licensee=YPF/5915794100
Not for Resale, 07/05/2011 13:38:11 !"
#o$%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
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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
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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 ?" /&@""
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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@
$x, %*, SE,
> /l# >m/ftl# ,!a /psi
>ode /Signed /Signed >otes /&/3B
10anchor 0 1?@ ?@0 /10@"" "" :1 0:
&0tee 0 1?@ ?@0 10@"" 1 ? 0"30 tee @ ?" /1@:?" ?" 00 33"0 ? 3: 1&&
?0 tee @ ?" /1@:?" ?" 00 33"0 ? 3: 1&&
110 Y @ ?" /1@:?" ?" 00 33"0 &" 1" 3:"
1&0 @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"130 meter @ ?" /1@:?" ?" 00 33"0 &" 1" 3:"
1?0 Y @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"
3?0 tee @ ?" /1@:?" ?" 00 33"0 ? 3: 1&&
&10 Y @ ?" /1@:?" ?" 00 33"0 &" 1" 3:"
&&0 @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"&30 meter @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"
&?0 Y @ ?" /1@:?" ?" 00 33"0 &" 1" /3:"330 tee @ ?" /1@:?" ?" 00 33"0 ? 3: /1&&
310 anchor 0 1?@ ?@0 10@"" "" :1 /0:3&0 tee 0 1?@ ?@0 /10@"" 1 ? 0"
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ASME B31.3-2010
#o$%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