Branch Table

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BRANCH TABLE GENERATOR

BY A.V A.V.. Acharya

Procedure for using branch generaor. generaor. !"There are # co$%onens for he s%readshee he ca&cu&aion %ar and he brach ab&e generaor. generaor. #"The co&oured %ar of he s%readshee can be changed Conse'uen&y he ab&e for he branch ab&e a&so changes ("is %referab&e o use $aser co%y of e)ce& shee before each ca&cu&aion for each s%ec *"he branch ab&e generaed can be co%ied o oher s%readshees for use +" ,ar -ih he -or shee / (0/ $aser for daa enry / ener daa fu&&y 1 -hen daa has been enered fu&&y he conse'uen ab&es a&so change change 1 bu i is ad2isab&e o chec daa in he conse'uen conse'uen ab&es of correcness 0" 3hen he daa has been enered and i can bee seen ha he branch branch ab&e -orshee changes 1 indicaing ha ha reinforce$en is re'uired or no 4"5f refinforce$en is re'uired hen %ad has o be %ro2ided %ro2ided

Pi pi ng

Spec:

 A1A

2"

P

3"

P

4" 6"

P

8" 10"

P

12"

     R      E      D      A      E      H

14"

P

16" 18"

P

20" 22"

P

24" 26"

R

28" 30"

R

32" 34" 36"

P

36"

P

P

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34" 32" 30" 28" 26" 24" 22" 20" 18" 16" 14" 12" 10" 6" 4" 3" 2"

BRANCH RRei nf orce mentpadi sr eqd PPi pet opi pej o i nt

Pi pi ng

Spec:

 A1A

2"

P

3"

P

4" 6"

P

8" 10"

P

12"

     R      E      D      A      E      H

14"

P

16" 18"

P

20" 22"

P

24" 26"

R

28" 30"

R

32" 34" 36"

P

36"

P

P

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34" 32" 30" 28" 26" 24" 22" 20" 18" 16" 14" 12" 10" 6" 4" 3" 2"

BRANCH RRei nf orce mentpadi sr eqd PPi pet opi pej o i nt

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE PIPE BRANCH OF METALS METALS  A!A Spec-: ,R. 7E 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5 7E,5GN GN TE8P TE8PER ERA AT9RE T9RE ;7EG ;7EG.6 .6." ." 7E,5 7E,5GN GN PRE PRE,, ,,9R 9RE E ;P,5 ;P,5G. G."" 8ATER 8ATER5AL 5AL O6 CON, CON,TR9 TR9CT5 CT5ON ON 6OR 6OR HEA7ER HEA7ER 8ATER 8ATER5AL 5AL O6 CON, CON,TR9 TR9CT5 CT5ON ON 6OR 6OR BRAN BRANCH CH ALLO3A ALLO3ABLE BLE ,TRE,, ,TRE,, VAL9E AL9E O6 HEA7ER HEA7ER.;P .;P,5" ,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT >O5NT E665 E665C5 C5EN ENCY CY 6OR 6OR HEA HEA7E 7ER R >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 HEA7ER HEA7ER P5PE.;5NCH P5PE.;5NCH." ." NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 BRANCH BRANCH P5PE.;5NC P5PE.;5NCH." H." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO, CORRO,5ON 5ON ALLO3AN ALLO3ANCE. CE.;5N ;5NCH. CH."" 85LL 85LL TOLERA TOLERANCE NCE ;HEA7E ;HEA7ER". R". 85LL TOLERANCE ;BRANCH". O9T,57 O9T,57E E 75A8ETE 75A8ETER R O6 P5PE HEA7E HEA7ER.; R.;5NC 5NCH." H." O9T,57E O9T,57E 75A8E 75A8ETER TER O6 BRANCH BRANCH P5PE.;5 P5PE.;5NCH. NCH."" ,5DE ,5DE O6 O6 3EL7 3EL7 LEG. LEG.;5 ;5NC NCH. H."" ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in# area"in#  A# ;Area fro$ e)cess e)cess hicness in %i%e -a&&"= -a&&"=  A(;Area fro$ e)cess hicness hicness in branch -a&&"= -a&&"=

ABBR.

VAL9E, H7R.:BR. 36/36

VAL9E, H7R.:BR. 36/34

7ATA 7ATA ENTRY ENTRY ,Y8BOL. ,Y8BOL. VAL9E, VAL9E, VAL9E, H7R.:BR. H7R.:BR. H7R.:BR. 36/32 36/30 36/2

VAL9E, H7R.:BR. 36/26

VAL9E, H7R.:BR. 36/24

⇒ ⇒ ⇒

TO = Pd =

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.+<<< <.+<<< <.*(4+ <.*(4+ <.!<<< !#.+<<< !#.+<<< (0.<<<< (0.<<<< <.#+<<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(!+ <.*(4+ <.#4+0 <.!<< !#.+<< !#.+<<< (0.<<< (*.<<< <.##<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(!+ <.*(4+ <.#4+0 <.!<< !#.+<< !#.+<<< (0.<<< (#.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(!+ <.*(4+ <.#4+0 <.!<< !#.+<< !#.+<<< (0.<<< (<.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(!+ <.*(4+ <.#4+0 <.!<< !#.+<< !#.+<<< (0.<<< #?.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(!+ <.*(4+ <.#4+0 <.!<< !#.+<< !#.+<<< (0.<<< #0.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(4+ <.*(4+ <.(#?! <.!<< !#.+<< !#.+<<< (0.<<< #*.<<< <.#+<

h= b= A!= A#= A(= c=

<.!(*0 <.!(*0 *.4+*0 4.!040 <.(*#* <.#+<< <.(+(+

<.!(*0 <.!#4! *.+#@< 0.?#4+ <.<*#0 <.##<+ <.###4

<.!(*0 <.!!@0 *.#+@? 0.*#!4 <.<*@# <.##<+ <.###4

<.!(*0 <.!!## (.@@<0 0.<!+? <.<++4 <.##<+ <.###4

<.!(*0 <.!<*4 (.4#!* +.0!<< <.<0#( <.##<+ <.###4

<.!(*0 <.<@4# (.*+## +.#<*# <.<0?@ <.##<+ <.###4

<.!(*0 <.<?@4 (.!0?@ *.444! <.!+4@ <.#+<< <.#0+!

in# in#

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Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch branch -e&ds" a2ai&ab&e area A#A(A*=

A%i +&

Re!"# "$% &e'(

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A%i +&

Re!"# "$% &e'(

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5 7E,5GN GN TE8P TE8PER ERA AT9RE T9RE ;7EG ;7EG.6 .6." ." 7E,5 7E,5GN GN PRE PRE,, ,,9R 9RE E ;P,5 ;P,5G. G."" 8ATER 8ATER5AL 5AL O6 CON, CON,TR9 TR9CT5 CT5ON ON 6OR 6OR HEA7 HEA7ER ER 8ATER 8ATER5AL 5AL O6 CON, CON,TR9 TR9CT5 CT5ON ON 6OR 6OR BRAN BRANCH CH ALLO3A ALLO3ABLE BLE ,TRE,, ,TRE,, VAL9E AL9E O6 HEA7ER HEA7ER.;P .;P,5" ,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5N >O5NT T E66 E665C 5C5E 5ENC NCY Y 6OR 6OR HEA7 HEA7ER ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 HEA7ER HEA7ER P5PE.;5NCH P5PE.;5NCH." ." NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 BRANC BRANCH H P5PE.;5N P5PE.;5NCH." CH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO, CORRO,5ON 5ON ALLO3A ALLO3ANCE NCE.;5 .;5NCH NCH." ." 85LL 85LL TOLERA TOLERANCE NCE ;HEA7E ;HEA7ER". R". 85LL TOLERANCE ;BRANCH". O9T,57 O9T,57E E 75A8ETE 75A8ETER R O6 P5PE HEA7ER HEA7ER.;5 .;5NCH NCH." ." O9T,57 O9T,57E E 75A8ETE 75A8ETER R O6 BRANCH BRANCH P5PE.; P5PE.;5NC 5NCH." H." ,5DE ,5DE O6 O6 3EL7 3EL7 LEG. LEG.;5 ;5NC NCH. H."" ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in# area"in#  A# ;Area fro$ e)cess hicness hicness in %i%e -a&&"= -a&&"=  A(;Area fro$ e)cess hicness hicness in branch -a&&"= -a&&"=

ABBR.

VAL9E, H7R.:BR. 36/22

VAL9E, H7R.:BR. 36/20

VAL9E, H7R.:BR. 36/)

VAL9E, H7R.:BR. 36/)6

VAL9E, H7R.:BR. 36/)4

VAL9E, H7R.:BR. 36/)2

VAL9E, H7R.:BR. 36/)0

⇒ ⇒ ⇒

TO = Pd =

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(4+ <.*(4+ <.(#?! <.!<< !#.+<< !#.+<<< (0.<<< ##.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(4+ <.*(4+ <.(#?! <.!<< !#.+<< !#.+<<< (0.<<< #<.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(4+ <.*(4+ <.(#?! <.!<< !#.+<< !#.+<<< (0.<<< !?.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(4+ <.*(4+ <.(#?! <.!<< !#.+<< !#.+<<< (0.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(4+ <.*(4+ <.(#?! <.!<< !#.+<< !#.+<<< (0.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(4+ <.*(4+ <.(#?! <.!<< !#.+<< !#.+<<< (0.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(0+ <.*(4+ <.(!@( <.!<< !#.+<< !#.+<<< (0.<<< !<.4+< <.#+<

h= b= A!= A#= A(= c=

<.!(*0 <.<?#( #.?@@4 *.(4!( <.!00* <.#+<< <.#0+!

<.!(*0 <.<4*? #.0(<+ (.@0++ <.!4*@ <.#+<< <.#0+!

<.!(*0 <.<04( #.(0!( (.++@4 <.!?(* <.#+<< <.#0+!

<.!(*0 <.<+@? #.<@#! (.!+(@ <.!@#< <.#+<< <.#0+!

<.!(*0 <.<+#( !.?##@ #.4*?! <.#<<+ <.#+<< <.#0+!

<.!(*0 <.<*44 !.0+*4 #.*@** <.#<+? <.#+<< <.#0+!

<.!(*0 <.<*<# !.(?4@ #.<@## <.!@0+ <.#+<< <.#+?<

in# in#

<.!*<0 *.04?(

<.!*<0 *.#?!<

<.!*<0 (.??(?

<.!*<0 (.*?0+

<.!*<0 (.<?@#

<.!*<0 #.?*<@

<.!((# #.*#!@

Re!"# "$% &e'(

Re!"# "$% &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch branch -e&ds" a2ai&ab&e area A#A(A*=

A%i +&

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN 7E,5GN TE8PER TE8PERA AT9RE T9RE ;7EG.6 ;7EG.6." 7E,5 7E,5GN GN PRE PRE,, ,,9R 9RE E ;P,5 ;P,5G. G."" 8ATER 8ATER5AL 5AL O6 CON, CON,TR9 TR9CT5 CT5ON ON 6OR 6OR HEA7 HEA7ER ER 8ATER 8ATER5AL 5AL O6 CON, CON,TR9 TR9CT5 CT5ON ON 6OR 6OR BRAN BRANCH CH ALLO3A ALLO3ABLE BLE ,TRE,, ,TRE,, VAL9E AL9E O6 HEA7ER HEA7ER.;P .;P,5" ,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5N >O5NT T E665 E665C5 C5EN ENCY CY 6OR 6OR HEA HEA7E 7ER R >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 HEA7ER HEA7ER P5PE.;5NCH P5PE.;5NCH." ." NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 BRANCH BRANCH P5PE.;5NC P5PE.;5NCH." H." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO, CORRO,5ON 5ON ALLO3A ALLO3ANCE NCE.;5 .;5NC NCH." H." 85LL 85LL TOLERA TOLERANC NCE E ;HEA7 ;HEA7ER" ER".. 85LL TOLERANCE ;BRANCH". O9T,57 O9T,57E E 75A8ETE 75A8ETER R O6 P5PE HEA7ER. HEA7ER.;5N ;5NCH. CH."" O9T,57 O9T,57E E 75A8ETE 75A8ETER R O6 BRANCH BRANCH P5PE.;5N P5PE.;5NCH. CH."" ,5DE ,5DE O6 O6 3EL7 3EL7 LEG. LEG.;5 ;5NC NCH. H."" ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess e)cess hicness in branch branch -a&&"=

⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

ABBR. VAL9E, H7R.:BR. 36/ TO = !+<.<<<< Pd = !+<.<<<<  A%i +&

VAL9E, H7R.:BR. 36/4

VAL9E, H7R.:BR. 36/3

VAL9E, H7R.:BR. 36/2

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(## <.*(4+ <.#?!? <.!<< !#.+<< !#.+<<< (0.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.#?< <.*(4+ <.#**@ <.!<< !#.+<< !#.+<<< (0.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.((4 <.*(4+ <.#@*@ <.!<< !#.+<< !#.+<<< (0.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(<< <.*(4+ <.#0#+ <.!<< !#.+<< !#.+<<< (0.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.+<< <.(*( <.*(4+ <.(<<< <.!<< !#.+<< !#.+<<< (0.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

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in# in#

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<.<4?* !.*+<@

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,h= ,b= Eh= Eb= Y= β radian

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 36/6

Re!"# Re!"# "$% &e'( &e'(

Re!"# Re!"# "$% &e'( &e'(

Re!"# Re!"# "$% &e'( &e'(

Re!"# Re!"# "$% &e'( &e'( Re!"# Re!"# "$% &

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 34/32 !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

7ATA ENTRY ,Y8BOL. VAL9E, VAL9E, VAL9E, H7R.:BR. H7R.:BR. H7R.:BR. 34/30 34/2 34/26 FF !+<.<<<< FF !+<.<<<< F !+<.<<<< FF !+<.<<<< FF !+<.<<<< F !+<.<<<< A%i +&

A%i +&

A%i +&

VAL9E, H7R.:BR. 34/24 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 34/22 !+<.<<<< !+<.<<<<

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(!+< <.(!+< <.#4+0 <.#4+0 <.!<<< !#.+<<< !#.+<<< (*.<<<< (*.<<<< <.!@#@

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (*.<<< (#.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (*.<<< (<.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (*.<<< #?.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (*.<<< #0.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (*.<<< #*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (*.<<< ##.<<< <.#+<

h= b= A!= A#= A(= c=

<.!#4! <.!#4! *.#44* !.0(!< <.<*#0 <.##<+ <.###4

<.!#4! <.!#4! *.#44* !.0(!< <.<*#0 <.##<+ <.###4

<.!#4! <.!!@0 *.<#(! !.+(*! <.<*@# <.##<+ <.###4

<.!#4! <.!!## (.40?@ !.*(4! <.<++4 <.##<+ <.###4

<.!#4! <.!<*4 (.+!*4 !.(*<# <.<0#( <.##<+ <.###4

<.!#4! <.<@4# (.#*4! !.#(?# <.!!*@ <.#+<< <.#0+!

<.!#4! <.<?@4 #.@@#? !.!*!# <.!#!+ <.#+<< <.#0+!

in# in#

<.<@@# !.44#?

<.<@@# !.44#?

<.<@@# !.0?#+

<.<@@# !.+@#!

<.<@@# !.+<!4

<.!*<0 !.*@(4

<.!*<0 !.*<((

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 34/34 !+<.<<<< !+<.<<<<

Re!"# &e'(

(!04*0(##.)&s

Re!"# &e'(

A%i +&

Re!"# &e'(

0 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 34/) !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 34/)6 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 34/)4 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 34/)2*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 34/)0*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 34/*62, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (*.<<< #<.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (*.<<< !?.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (*.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (*.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (*.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(0+ <.#4+0 <.(!@( <.!<< !#.+<< !#.+<<< (*.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(## <.#4+0 <.#?!? <.!<< !#.+<< !#.+<<< (*.<<< ?.0#+ <.##+

h= b= A!= A#= A(= c=

<.!#4! <.<?#( #.4(?0 !.<**( <.!#?! <.#+<< <.#0+!

<.!#4! <.<4*? #.*?** <.@*4( <.!(*0 <.#+<< <.#0+!

<.!#4! <.<04( #.#(<! <.?+<* <.!*!# <.#+<< <.#0+!

<.!#4! <.<+@? !.@4+@ <.4+(* <.!*4? <.#+<< <.#0+!

<.!#4! <.<+#( !.4#!4 <.0+0+ <.!+*( <.#+<< <.#0+!

<.!#4! <.<*44 !.+0+< <.+@0? <.!+<4 <.#+<< <.#+?<

<.!#4! <.<*<# !.(#<( <.+<(* <.!#*( <.##+* <.##44

in# in#

<.!*<0 !.(!(<

<.!*<0 !.###0

<.!*<0 !.!(##

<.!*<0 !.<*!?

<.!*<0 <.@+!*

<.!((# <.??<4

<.!<(4 <.4(!+

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 34/20 !+<.<<<< !+<.<<<<

Re!"# &e'(

Re!"# &e'(

(!04*0(##.)&s

4 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

ABBR. VAL9E, H7R.:BR. 34/6*62, TO = !+<.<<<< Pd = !+<.<<<<  A%i +&

VAL9E, H7R.:BR. 34/3*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 34/2*3+, !+<.<<<< !+<.<<<<

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.#?< <.#4+0 <.#**@ <.!<< !#.+<< !#.+<<< (*.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.((4 <.#4+0 <.#@*@ <.!<< !#.+<< !#.+<<< (*.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(<< <.#4+0 <.#0#+ <.!<< !#.+<< !#.+<<< (*.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(*( <.#4+0 <.(<<< <.!<< !#.+<< !#.+<<< (*.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.!#4! <.<(## !.<+@0 <.*<*< <.<?!4 <.!@+@ <.!@4@

<.!#4! <.<#*? <.4@#0 <.(<## <.!*@( <.#(+@ <.#(?(

<.!#4! <.<!0? <.+(<4 <.#<#* <.!!?* <.#!<< <.#!#!

<.!#4! <.<!(! <.(@*! <.!+<( <.!0*! <.#*<< <.#*#*

in# in#

<.<4?* <.+0*<

<.!!(0 <.+0+!

<.<@<< <.*!<4

<.!!40 <.*(#<

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

,h= ,b= Eh= Eb= Y= β radian

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 34/4*, !+<.<<<< !+<.<<<<

(!04*0(##.)&s

Re!"# "$% &e'(

? O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 32/30 !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

7ATA ENTRY ,Y8BOL. VAL9E, VAL9E, VAL9E, H7R.:BR. H7R.:BR. H7R.:BR. 32/2 32/26 32/24 !+<.<<<< !+<.<<<< !+<.<<<< !+<.<<<< !+<.<<<< !+<.<<<< A%i +&

A%i +&

A%i +&

VAL9E, H7R.:BR. 32/22 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 32/20 !+<.<<<< !+<.<<<<

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(!+< <.(!+< <.#4+0 <.#4+0 <.!<<< !#.+<<< !#.+<<< (#.<<<< (#.<<<< <.!@#@

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (#.<<< (<.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (#.<<< #?.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (#.<<< #0.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (#.<<< #*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (#.<<< ##.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (#.<<< #<.<<< <.#+<

h= b= A!= A#= A(= c=

<.!!@0 <.!!@0 (.4?0+ !.44!? <.<*@# <.##<+ <.###4

<.!!@0 <.!!## (.+*4# !.0+@@ <.<++4 <.##<+ <.###4

<.!!@0 <.!<*4 (.(<4@ !.+*4@ <.<0#( <.##<+ <.###4

<.!!@0 <.<@4# (.<0?0 !.*(+@ <.<0?@ <.##<+ <.###4

<.!!@0 <.<?@4 #.?!0? !.(!?! <.!#!+ <.#+<< <.#0+!

<.!!@0 <.<?#( #.+44+ !.#<0! <.!#?! <.#+<< <.#0+!

<.!!@0 <.<4*? #.((?# !.<@*! <.!(*4 <.#+<< <.#0+!

in# in#

<.<@@# !.@#<#

<.<@@# !.?!*?

<.<@@# !.4<@*

<.<@@# !.0<*<

<.!*<0 !.+?<#

<.!*<0 !.*4*?

<.!*<0 !.(0@*

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 32/32 !+<.<<<< !+<.<<<<

Re!"# &e'(

(!04*0(##.)&s

Re!"# &e'(

A%i +&

Re!"# &e'(

@ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 32/)6 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 32/)4 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 32/)2*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 32/)0*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 32/*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 32/6*62, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (#.<<< !?.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (#.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (#.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (#.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(0+ <.#4+0 <.(!@( <.!<< !#.+<< !#.+<<< (#.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(## <.#4+0 <.#?!? <.!<< !#.+<< !#.+<<< (#.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.#?< <.#4+0 <.#**@ <.!<< !#.+<< !#.+<<< (#.<<< 0.0#+ <.!@0

h= b= A!= A#= A(= c=

<.!!@0 <.<04( #.<@@< <.@?## <.!*!# <.#+<< <.#0+!

<.!!@0 <.<+@? !.?+@4 <.?4<# <.!*4? <.#+<< <.#0+!

<.!!@0 <.<+#( !.0#<* <.4+?# <.!+** <.#+<< <.#0+!

<.!!@0 <.<*44 !.*4<? <.0??( <.!+?+ <.#+<< <.#0+!

<.!!@0 <.<*<# !.#((4 <.+44( <.!+4( <.#+<< <.#+?<

<.!!@0 <.<(## <.@??* <.*0#+ <.!(!( <.##+* <.##44

<.!!@0 <.<#*? <.4+4@ <.(+*4 <.<?4! <.!@+@ <.!@4@

in# in#

<.!*<0 !.#0*<

<.!*<0 !.!+?0

<.!*<0 !.<+(#

<.!*<0 <.@?4(

<.!((# <.?04?

<.!<(4 <.0@4+

<.<4?* <.+#<!

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 32/) !+<.<<<< !+<.<<<<

Re!"# &e'(

Re!"# &e'(

(!04*0(##.)&s

!< O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

ABBR. VAL9E, H7R.:BR. 32/4*, TO = !+<.<<<< Pd = !+<.<<<<  A%i +&

VAL9E, H7R.:BR. 32/2*3+, !+<.<<<< !+<.<<<<

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.((4 <.#4+0 <.#@*@ <.!<< !#.+<< !#.+<<< (#.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(<< <.#4+0 <.#0#+ <.!<< !#.+<< !#.+<<< (#.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(*( <.#4+0 <.(<<< <.!<< !#.+<< !#.+<<< (#.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.!!@0 <.<!0? <.*@!? <.#(<! <.!+0* <.#(+@ <.#(?(

<.!!@0 <.<!(! <.(4@@ <.!444 <.!#!* <.#!<< <.#!#!

<.!!@0 <.<<?@ <.#(0( <.!!<0 <.!04@ <.#*<< <.#*#*

in# in#

<.!!(0 <.+<<<

<.<@<< <.(?@!

<.!!40 <.(@0<

,h= ,b= Eh= Eb= Y= β radian

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 32/3*, !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'(

!! O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

7ATA ENTRY ,Y8BOL. VAL9E, VAL9E, VAL9E, H7R.:BR. H7R.:BR. H7R.:BR. 30/2 30/26 30/24 !+<.<<<< !+<.<<<< !+<.<<<< !+<.<<<< !+<.<<<< !+<.<<<< A%i +&

A%i +&

A%i +&

VAL9E, H7R.:BR. 30/22 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 30/20 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 30/) !+<.<<<< !+<.<<<<

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(!+< <.(!+< <.#4+0 <.#4+0 <.!<<< !#.+<<< !#.+<<< (<.<<<< (<.<<<< <.##<+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (<.<<< #?.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< (<.<<< #0.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (<.<<< #*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (<.<<< ##.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (<.<<< #<.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (<.<<< !?.<<< <.#+<

h= b= A!= A#= A(= c=

<.!!## <.!!## (.(#++ !.??!0 <.<++4 <.##<+ <.###4

<.!!## <.!<*4 (.!<!# !.4+*0 <.<0#( <.##<+ <.###4

<.!!## <.<@4# #.?40@ !.0#44 <.<0?@ <.##<+ <.###4

<.!!## <.<?@4 #.0*<4 !.*@*! <.!#!+ <.#+<< <.#0+!

<.!!## <.<?#( #.*!0* !.(04# <.!#?! <.#+<< <.#0+!

<.!!## <.<4*? #.!@#! !.#*<( <.!(*4 <.#+<< <.#0+!

<.!!## <.<04( !.@04? !.!!(* <.!*!# <.#+<< <.#0+!

in# in#

<.<@@# #.<(0+

<.<@@# !.@!0!

<.<@@# !.4@+?

<.!*<0 !.4+0(

<.!*<0 !.0(+@

<.!*<0 !.+!+0

<.!*<0 !.(@+#

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 30/30 !+<.<<<< !+<.<<<<

Re!"# &e'(

(!04*0(##.)&s

Re!"# &e'(

A%i +&

Re!"# &e'(

!# O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 30/)4 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 30/)2*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 30/)0*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 30/*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 30/6*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 30/4*, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (<.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (<.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< (<.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(0+ <.#4+0 <.(!@( <.!<< !#.+<< !#.+<<< (<.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(## <.#4+0 <.#?!? <.!<< !#.+<< !#.+<<< (<.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.#?< <.#4+0 <.#**@ <.!<< !#.+<< !#.+<<< (<.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.((4 <.#4+0 <.#@*@ <.!<< !#.+<< !#.+<<< (<.<<< *.+<< <.#(0

h= b= A!= A#= A(= c=

<.!!## <.<+@? !.4*(* <.@?0* <.!*4? <.#+<< <.#0+!

<.!!## <.<+#( !.+!@! <.?+@+ <.!+** <.#+<< <.#0+!

<.!!## <.<*44 !.(4?@ <.4?<# <.!+?+ <.#+<< <.#0+!

<.!!## <.<*<# !.!+00 <.0+** <.!+4( <.#+<< <.#+?<

<.!!## <.<(## <.@#00 <.+#*( <.!(!( <.##+* <.##44

<.!!## <.<#*? <.4!<0 <.*<#< <.<?4! <.!@+@ <.!@4@

<.!!## <.<!0? <.*0!< <.#0<? <.!+0* <.#(+@ <.#(?(

in# in#

<.!*<0 !.#4*?

<.!*<0 !.!+*+

<.!*<0 !.<4@(

<.!((# <.@**@

<.!<(4 <.4+@(

<.<4?* <.+04+

<.!!(0 <.+(<?

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 30/)6 !+<.<<<< !+<.<<<<

Re!"# &e'(

Re!"# &e'(

(!04*0(##.)&s

Re!"# "$% &e'(

!( O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒

ABBR. VAL9E, H7R.:BR. 30/3*, TO = !+<.<<<< Pd = !+<.<<<<  A%i +&

A%i +&

 A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(<< <.#4+0 <.#0#+ <.!<< !#.+<< !#.+<<< (<.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(*( <.#4+0 <.(<<< <.!<< !#.+<< !#.+<<< (<.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.!!## <.<!(! <.(+0! <.#<!+ <.!#!* <.#!<< <.#!#!

<.!!## <.<<?@ <.##!+ <.!#+( <.!04@ <.#*<< <.#*#*

in# in#

<.<@<< <.*!#@

<.!!40 <.*!<?

,h= ,b= Eh= Eb= Y= β radian

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 30/2*3+, !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

!* O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

∆ΑΤΑ ΕΝΤΡΨ ΣΨΜΒΟΛ. VAL9E, VAL9E, H7R.:BR. H7R.:BR. 2/26 2/24 !+<.<<<< !+<.<<<< !+<.<<<< !+<.<<<< A%i +&

A%i +&

VAL9E, H7R.:BR. 2/22 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 2/20 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 2/) !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 2/)6 !+<.<<<< !+<.<<<<

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(!+< <.(!+< <.#4+0 <.#4+0 <.!<<< !#.+<<< !#.+<<< #?.<<<< #?.<<<< <.##<+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(!+ <.#4+0 <.#4+0 <.!<< !#.+<< !#.+<<< #?.<<< #0.<<< <.##!

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #?.<<< #*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #?.<<< ##.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #?.<<< #<.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #?.<<< !?.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #?.<<< !0.<<< <.#+<

h= b= A!= A#= A(= c=

<.!<*4 <.!<*4 #.?@** !.@0!* <.<0#( <.##<+ <.###4

<.!<*4 <.<@4# #.0?+! !.?!@+ <.<0?@ <.##<+ <.###4

<.!<*4 <.<?@4 #.*0*4 !.04<# <.!#!+ <.#+<< <.#0+!

<.!<*4 <.<?#( #.#++( !.+#?( <.!#?! <.#+<< <.#0+!

<.!<*4 <.<4*? #.<*0< !.(?0* <.!(*4 <.#+<< <.#0+!

<.!<*4 <.<04( !.?(00 !.#**+ <.!*!# <.#+<< <.#0+!

<.!<*4 <.<+@? !.0#4# !.!<#4 <.!*4? <.#+<< <.#0+!

in# in#

<.<@@# #.!##@

<.<@@# !.@?40

<.!*<0 !.@(#(

<.!*<0 !.4@4<

<.!*<0 !.00!4

<.!*<0 !.+#0*

<.!*<0 !.(@!!

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 2/2 !+<.<<<< !+<.<<<<

Re!"# &e'(

(!04*0(##.)&s

Re!"# &e'(

A%i +&

Re!"# &e'(

!+ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 2/)2*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 2/)0*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 2/*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 2/6*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 2/4*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 2/3*, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #?.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #?.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(0+ <.#4+0 <.(!@( <.!<< !#.+<< !#.+<<< #?.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(## <.#4+0 <.#?!? <.!<< !#.+<< !#.+<<< #?.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.#?< <.#4+0 <.#**@ <.!<< !#.+<< !#.+<<< #?.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.((4 <.#4+0 <.#@*@ <.!<< !#.+<< !#.+<<< #?.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(<< <.#4+0 <.#0#+ <.!<< !#.+<< !#.+<<< #?.<<< (.+<< <.#!<

h= b= A!= A#= A(= c=

<.!<*4 <.<+#( !.*!4? <.@0<? <.!+** <.#+<< <.#0+!

<.!<*4 <.<*44 !.#?4< <.?4#! <.!+?+ <.#+<< <.#0+!

<.!<*4 <.<*<# !.<4@+ <.4(!+ <.!+4( <.#+<< <.#+?<

<.!<*4 <.<(## <.?0*@ <.+?0! <.!(!( <.##+* <.##44

<.!<*4 <.<#*? <.00(# <.**@* <.<?4! <.!@+@ <.!@4@

<.!<*4 <.<!0? <.*(<( <.#@!0 <.!+0* <.#(+@ <.#(?(

<.!<*4 <.<!(! <.((#* <.##+# <.!#!* <.#!<< <.#!#!

in# in#

<.!*<0 !.#++?

<.!*<0 !.!4!#

<.!((# !.<##<

<.!<(4 <.?#!!

<.<4?* <.0!*?

<.!!(0 <.+0!+

<.<@<< <.*(00

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 2/)4 !+<.<<<< !+<.<<<<

Re!"# &e'(

Re!"# &e'(

(!04*0(##.)&s

Re!"# "$% &e'(

Re!"# "$% &e'(

!0 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

⇒ ⇒ ⇒

ABBR. VAL9E, H7R.:BR. 2/2*3+, TO = !+<.<<<< Pd = !+<.<<<<  A%i +&  A%i +&

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

,h= ,b= Eh= Eb= Y= β radian

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

<.!<*4 <.<<?@ <.#<04 <.!*<! <.!04@ <.#*<< <.#*#*

in# in#

<.!!40 <.*#+0

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(*( <.#4+0 <.(<<< <.!<< !#.+<< !#.+<<< #?.<<< #.(4+ <.#*<

Re!"# "$% &e'(

(!04*0(##.)&s

!4 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

∆ΑΤΑ ΕΝΤΡΨ ΣΨΜΒΟΛ. ABBR. VAL9E, VAL9E, H7R.:BR. H7R.:BR. 26/26 26/24 TO = !+<.<<<< !+<.<<<< Pd = !+<.<<<< !+<.<<<<  A%i +&

VAL9E, H7R.:BR. 26/20 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 26/) !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 26/)6 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 26/)4 !+<.<<<< !+<.<<<<

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(!+< <.(!+< <.#4+0 <.#4+0 <.!<<< !#.+<<< !#.+<<< #0.<<<< #0.<<<< <.##<+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #0.<<< #*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #0.<<< ##.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #0.<<< #<.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #0.<<< !?.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #0.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #0.<<< !*.<<< <.#+<

h= b= A!= A#= A(= c=

<.<@4# <.<@4# #.*@(( #.<!!( <.<0?@ <.##<+ <.###4

<.<@4# <.<?@4 #.#??0 !.?*0# <.!#!+ <.#+<< <.#0+!

<.<@4# <.<?#( #.<@*# !.0?@* <.!#?! <.#+<< <.#0+!

<.<@4# <.<4*? !.?@@? !.+(#0 <.!(*4 <.#+<< <.#0+!

<.<@4# <.<04( !.4<+* !.(4+4 <.!*!# <.#+<< <.#0+!

<.<@4# <.<+@? !.+!!< !.#!?@ <.!*4? <.#+<< <.#0+!

<.<@4# <.<+#( !.(!00 !.<0#! <.!+** <.#+<< <.#0+!

in# in#

<.<@@# #.!4@*

<.!*<0 #.!<?*

<.!*<0 !.@+?!

<.!*<0 !.?<4?

<.!*<0 !.0+40

<.!*<0 !.+<4(

<.!*<0 !.(+4<

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

Re!"# &e'(

,h= ,b= Eh= Eb= Y= β radians

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

A%i +&

VAL9E, H7R.:BR. 26/22 !+<.<<<< !+<.<<<<

Re!"# &e'(

(!04*0(##.)&s

A%i +&

Re!"# "$% &e'(

!? O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH ∆Α ABBR.

 A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 26/)0*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 26/*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 26/6*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 26/4*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 26/3*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 26/2*3+, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(4+ <.#4+0 <.(#?! <.!<< !#.+<< !#.+<<< #0.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(0+ <.#4+0 <.(!@( <.!<< !#.+<< !#.+<<< #0.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(## <.#4+0 <.#?!? <.!<< !#.+<< !#.+<<< #0.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.#?< <.#4+0 <.#**@ <.!<< !#.+<< !#.+<<< #0.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.((4 <.#4+0 <.#@*@ <.!<< !#.+<< !#.+<<< #0.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(<< <.#4+0 <.#0#+ <.!<< !#.+<< !#.+<<< #0.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(!+ <.(*( <.#4+0 <.(<<< <.!<< !#.+<< !#.+<<< #0.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<@4# <.<*44 !.!@+! <.@0*< <.!+?+ <.#+<< <.#0+!

<.<@4# <.<*<# !.<<#( <.?<?0 <.!+4( <.#+<< <.#+?<

<.<@4# <.<(## <.?<(! <.0*4? <.!(!( <.##+* <.##44

<.<@4# <.<#*? <.0!+? <.*@0? <.<?4! <.!@+@ <.!@4@

<.<@4# <.<!0? <.(@@0 <.(##( <.!+0* <.#(+@ <.#(?(

<.<@4# <.<!(! <.(<?0 <.#*@< <.!#!* <.#!<< <.#!#!

<.<@4# <.<<?@ <.!@#< <.!+*@ <.!04@ <.#*<< <.#*#*

in# in#

<.!*<0 !.#0(!

<.!((# !.<@@!

<.!<(4 <.??#@

<.<4?* <.00##

<.!!(0 <.+@##

<.<@<< <.*0<*

<.!!40 <.**<(

Re!"# "$% &e'(

Re!"# "$% &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 26/)2*+, !+<.<<<< !+<.<<<<

(!04*0(##.)&s

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

!@ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH ∆Α ABBR.

 A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

#< O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 24/22 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/20 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/) !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/)6 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/)4 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/)2*+, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(4+< <.(4+< <.(#?! <.(#?! <.!<<< !#.+<<< !#.+<<< #*.<<<< #*.<<<< <.#+<<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #*.<<< ##.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #*.<<< #<.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #*.<<< !?.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #*.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #*.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #*.<<< !#.4+< <.#+<

h= b= A!= A#= A(= c=

<.<?@4 <.<?@4 #.!!#0 (.#+?( <.!+4@ <.#+<< <.#0+!

<.<?@4 <.<?#( !.@((! #.@?!+ <.!00* <.#+<< <.#0+!

<.<?@4 <.<4*? !.4+(4 #.4<*4 <.!4*@ <.#+<< <.#0+!

<.<?@4 <.<04( !.+4*# #.*#?< <.!?(* <.#+<< <.#0+!

<.<?@4 <.<+@? !.(@*? #.!+!# <.!@#< <.#+<< <.#0+!

<.<?@4 <.<+#( !.#!+( !.?4** <.#<<+ <.#+<< <.#0+!

<.<?@4 <.<*44 !.!<(! !.4<!* <.#<+? <.#+<< <.#0+!

in# in#

<.!*<0 (.++0?

<.!*<0 (.#??+

<.!*<0 (.<#<(

<.!*<0 #.4+#<

<.!*<0 #.*?(?

<.!*<0 #.#!++

<.!*<0 #.<*4?

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 24/24 !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

A%i +&

Re!"# "$% &e'(

#! O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 24/*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/6*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/4*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/3*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 24/2*3+, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(0+ <.(#?! <.(!@( <.!<< !#.+<< !#.+<<< #*.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(## <.(#?! <.#?!? <.!<< !#.+<< !#.+<<< #*.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.#?< <.(#?! <.#**@ <.!<< !#.+<< !#.+<<< #*.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.((4 <.(#?! <.#@*@ <.!<< !#.+<< !#.+<<< #*.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(<< <.(#?! <.#0#+ <.!<< !#.+<< !#.+<<< #*.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(*( <.(#?! <.(<<< <.!<< !#.+<< !#.+<<< #*.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<?@4 <.<*<# <.@#+# !.*#4< <.!@0+ <.#+<< <.#+?<

<.<?@4 <.<(## <.4*!( !.!*(( <.!(+@ <.##+* <.##44

<.<?@4 <.<#*? <.+0?+ <.?404 <.<?4! <.!@+@ <.!@4@

<.<?@4 <.<!0? <.(0?? <.+0?? <.!4(+ <.#(+@ <.#(?(

<.<?@4 <.<!(! <.#?*@ <.*(@* <.!#!* <.#!<< <.#!#!

<.<?@4 <.<<?@ <.!44# <.#4(( <.!@!# <.#*<< <.#*#*

in# in#

<.!((# !.4+04

<.!<(4 !.(?(<

<.<4?* !.<*##

<.!!(0 <.?++@

<.<@<< <.0+<?

<.!!40 <.+?#!

Re!"# "$% &e'(

Re!"# "$% &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 24/)0*+, !+<.<<<< !+<.<<<<

(!04*0(##.)&s

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

## O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

#( O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

VAL9E, VAL9E, H7R.:BR. H7R.:BR. 22/20 22/) !+<.<<<< FF !+<.<<<< !+<.<<<< FF !+<.<<<< A%i +&

A%i +&

VAL9E, H7R.:BR. 22/)6 F !+<.<<<< F !+<.<<<<

VAL9E, H7R.:BR. 22/)4 FF !+<.<<<< FF !+<.<<<<

A%i +&

A%i +&

VAL9E, H7R.:BR. 22/)2*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 22/)0*+, F !+<.<<<< F !+<.<<<<

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(4+< <.(4+< <.(#?! <.(#?! <.!<<< !#.+<<< !#.+<<< ##.<<<< ##.<<<< <.#+<<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< ##.<<< #<.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< ##.<<< !?.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< ##.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< ##.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< ##.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(0+ <.(#?! <.(!@( <.!<< !#.+<< !#.+<<< ##.<<< !<.4+< <.#+<

h= b= A!= A#= A(= c=

<.<?#( <.<?#( !.44#< (.!*#0 <.!00* <.#+<< <.#0+!

<.<?#( <.<4*? !.0<4+ #.?+<@ <.!4*@ <.#+<< <.#0+!

<.<?#( <.<04( !.**(< #.++@! <.!?(* <.#+<< <.#0+!

<.<?#( <.<+@? !.#4?+ #.#04* <.!@#< <.#+<< <.#0+!

<.<?#( <.<+#( !.!!*< !.@4+4 <.#<<+ <.#+<< <.#0+!

<.<?#( <.<*44 !.<!!# !.4@(( <.#<+? <.#+<< <.#0+!

<.<?#( <.<*<# <.?*?! !.+<*! <.!@0+ <.#+<< <.#+?<

in# in#

<.!*<0 (.**@0

<.!*<0 (.!00*

<.!*<0 #.??(#

<.!*<0 #.0<<<

<.!*<0 #.(!0?

<.!*<0 #.!(@?

<.!((# !.?((?

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 22/22 !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

A%i +&

Re!"# "$% &e'(

#* O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 22/6*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 22/4*, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

VAL9E, VAL9E, H7R.:BR. H7R.:BR. 22/3*, 22/2*3+, !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(## <.(#?! <.#?!? <.!<< !#.+<< !#.+<<< ##.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.#?< <.(#?! <.#**@ <.!<< !#.+<< !#.+<<< ##.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.((4 <.(#?! <.#@*@ <.!<< !#.+<< !#.+<<< ##.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(<< <.(#?! <.#0#+ <.!<< !#.+<< !#.+<<< ##.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(*( <.(#?! <.(<<< <.!<< !#.+<< !#.+<<< ##.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<?#( <.<(## <.04@+ !.#<+! <.!(+@ <.##+* <.##44

<.<?#( <.<#*? <.+#!! <.@#*! <.<?4! <.!@+@ <.!@4@

<.<?#( <.<!0? <.((?! <.+@@0 <.!4(+ <.#(+@ <.#(?(

<.<?#( <.<!(! <.#0!# <.*0(! <.!#!* <.#!<< <.#!#!

<.<?#( <.<<?@ <.!0#* <.#??! <.!@!# <.#*<< <.#*#*

in# in#

<.!<(4 !.***?

<.<4?* !.<?@+

<.!!(0 <.??00

<.<@<< <.04*+

<.!!40 <.+@0@

Re!"# "$% &e'(

Re!"# "$% &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 22/*62, !+<.<<<< !+<.<<<<

(!04*0(##.)&s

Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

#+ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<<

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

#0 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

VAL9E, VAL9E, H7R.:BR. H7R.:BR. 20/) 20/)6 !+<.<<<< FF !+<.<<<< !+<.<<<< FF !+<.<<<< A%i +&

A%i +&

F F

VAL9E, H7R.:BR. 20/)4 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 20/)2*+, FF !+<.<<<< FF !+<.<<<<

A%i +&

A%i +&

VAL9E, H7R.:BR. 20/)0*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. 20/*62, F !+<.<<<< F !+<.<<<<

A%i +&

FF

F <

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(4+< <.(4+< <.(#?! <.(#?! <.!<<< !#.+<<< !#.+<<< #<.<<<< #<.<<<< <.#+<<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #<.<<< !?.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #<.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #<.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< #<.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(0+ <.(#?! <.(!@( <.!<< !#.+<< !#.+<<< #<.<<< !<.4+< <.#+<

h= b= A!= A#= A(= c=

<.<4*? <.<4*? !.*0!* #.@@4< <.!4*@ <.#+<< <.#0+!

<.<4*? <.<04( !.(!!? #.0@<( <.!?(* <.#+<< <.#0+!

<.<4*? <.<+@? !.!0#( #.(?(0 <.!@#< <.#+<< <.#0+!

<.<4*? <.<+#( !.<!#4 #.<40@ <.#<<+ <.#+<< <.#0+!

<.<4*? <.<*44 <.@!@( !.??+# <.#<+? <.#+<< <.#0+!

<.<4*? <.<*<# <.44!< !.+?!# <.!@0+ <.#+<< <.#+?<

<.<4*? <.<(## <.0!4? !.#00@ <.!(+@ <.##+* <.##44

in# in#

<.!*<0 (.(!#0

<.!*<0 (.<!**

<.!*<0 #.4!0#

<.!*<0 #.*!?!

<.!*<0 #.#(!4

<.!((# !.@!<@

<.!<(4 !.+<0+

Th= Tb= C= = = 7h= 7b= 3=

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

Re!"# "$% &e'(

F

F F F < F

Re!"# "$% &e'(

F F

A%i +&

 A%i +&

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 20/20 !+<.<<<< !+<.<<<<

 A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(## <.(#?! <.#?!? <.!<< !#.+<< !#.+<<< #<.<<< ?.0#+ <.##+

Re!"# "$% &e'(

#4 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

F F

VAL9E, H7R.:BR. 20/4*, !+<.<<<< !+<.<<<< A%i +&

VAL9E, VAL9E, H7R.:BR. H7R.:BR. 20/3*, 20/2*3+, FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.#?< <.(#?! <.#**@ <.!<< !#.+<< !#.+<<< #<.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.((4 <.(#?! <.#@*@ <.!<< !#.+<< !#.+<<< #<.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(<< <.(#?! <.#0#+ <.!<< !#.+<< !#.+<<< #<.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(*( <.(#?! <.(<<< <.!<< !#.+<< !#.+<<< #<.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<4*? <.<#*? <.*4(4 <.@4!+ <.<?4! <.!@+@ <.!@4@

<.<4*? <.<!0? <.(<4( <.0(<( <.!4(+ <.#(+@ <.#(?(

<.<4*? <.<!(! <.#(4* <.*?0@ <.!#!* <.#!<< <.#!#!

<.<4*? <.<<?@ <.!*44 <.(<#? <.!@!# <.#*<< <.#*#*

in# in#

<.<4?* !.!(0@

<.!!(0 <.@!4*

<.<@<< <.0@?(

<.!!40 <.0!!4

Re!"# "$% &e'(

Re!"# "$% &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 20/6*62, !+<.<<<< !+<.<<<<

(!04*0(##.)&s

Re!"# "$% &e'(

Re!"# "$% &e'(

#? O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<<

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

#@ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. )/)6 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )/)4 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )/)2*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )/)0*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )/*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )/6*62, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(4+< <.(4+< <.(#?! <.(#?! <.!<<< !#.+<<< !#.+<<< !?.<<<< !?.<<<< <.#+<<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< !?.<<< !0.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< !?.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< !?.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(0+ <.(#?! <.(!@( <.!<< !#.+<< !#.+<<< !?.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(## <.(#?! <.#?!? <.!<< !#.+<< !#.+<<< !?.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.#?< <.(#?! <.#**@ <.!<< !#.+<< !#.+<<< !?.<<< 0.0#+ <.!@0

h= b= A!= A#= A(= c=

<.<04( <.<04( !.!?<4 #.?#!+ <.!?(* <.#+<< <.#0+!

<.<04( <.<+@? !.<*0! #.*@@@ <.!@#< <.#+<< <.#0+!

<.<04( <.<+#( <.@!!+ #.!4?# <.#<<+ <.#+<< <.#0+!

<.<04( <.<*44 <.?#4( !.@44# <.#<+? <.#+<< <.#0+!

<.<04( <.<*<# <.0@(@ !.0+?( <.!@0+ <.#+<< <.#+?<

<.<04( <.<(## <.++0< !.(#?4 <.!(+@ <.##+* <.##44

<.<04( <.<#*? <.*#0( !.<!?@ <.<?4! <.!@+@ <.!@4@

in# in#

<.!*<0 (.!*+0

<.!*<0 #.?(#+

<.!*<0 #.+!@(

<.!*<0 #.(#(0

<.!((# !.@??<

<.!<(4 !.+0?(

<.<4?* !.!?*(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. )/) !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

A%i +&

Re!"# "$% &e'(

(< O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. )/3*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )/2*3+, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

 A%i +&

A%i +&

 A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.((4 <.(#?! <.#@*@ <.!<< !#.+<< !#.+<<< !?.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(<< <.(#?! <.#0#+ <.!<< !#.+<< !#.+<<< !?.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(*( <.(#?! <.(<<< <.!<< !#.+<< !#.+<<< !?.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<04( <.<!0? <.#400 <.00!< <.!4(+ <.#(+@ <.#(?(

<.<04( <.<!(! <.#!(4 <.+!<0 <.!#!* <.#!<< <.#!#!

<.<04( <.<<?@ <.!(#@ <.(!40 <.!@!# <.#*<< <.#*#*

in# in#

<.!!(0 <.@*?!

<.<@<< <.4##<

<.!!40 <.0#0*

Re!"# "$% &e'(

Re!"# "$% &e'(

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. )/4*, !+<.<<<< !+<.<<<<

(!04*0(##.)&s

Re!"# "$% &e'(

(! O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

(# O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. )6/)4 !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )6/)2*+, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

F F

VAL9E, H7R.:BR. )6/)0*+, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )6/*62, FF !+<.<<<< FF !+<.<<<<

A%i +&

A%i +&

VAL9E, H7R.:BR. )6/6*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )6/4*, F !+<.<<<< F !+<.<<<<

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< !0.<<< !*.<<< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< !0.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(0+ <.(#?! <.(!@( <.!<< !#.+<< !#.+<<< !0.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(## <.(#?! <.#?!? <.!<< !#.+<< !#.+<<< !0.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.#?< <.(#?! <.#**@ <.!<< !#.+<< !#.+<<< !0.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.((4 <.(#?! <.#@*@ <.!<< !#.+<< !#.+<<< !0.<<< *.+<< <.#(0

h= b= A!= A#= A(= c=

<.<+@? <.<+@? <.@#@? #.0!0! <.!@#< <.#+<< <.#0+!

<.<+@? <.<+#( <.?!<# #.#4@+ <.#<<+ <.#+<< <.#0+!

<.<+@? <.<*44 <.4(+* #.<0@! <.#<+? <.#+<< <.#0+!

<.<+@? <.<*<# <.0!0? !.4(+* <.!@0+ <.#+<< <.#+?<

<.<+@? <.<(## <.*@*# !.(@<* <.!(+@ <.##+* <.##44

<.<+@? <.<#*? <.(4@< !.<00# <.<?4! <.!@+@ <.!@4@

<.<+@? <.<!0? <.#*+@ <.0@!? <.!4(+ <.#(+@ <.#(?(

in# in#

<.!*<0 #.@*?4

<.!*<0 #.0#<0

<.!*<0 #.*!+0

<.!((# #.<0+!

<.!<(4 !.0(<!

<.<4?* !.#(!4

<.!!(0 <.@4??

Th= Tb= C= = = 7h= 7b= 3=

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

F F

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(4+< <.(4+< <.(#?! <.(#?! <.!<<< !#.+<<< !#.+<<< !0.<<<< !0.<<<< <.#+<<

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. )6/)6 !+<.<<<< !+<.<<<<

A%i +&

Re!"# "$% &e'(

(( O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

FF FF

VAL9E, H7R.:BR. )6/2*3+, !+<.<<<< !+<.<<<<

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(<< <.(#?! <.#0#+ <.!<< !#.+<< !#.+<<< !0.<<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(*( <.(#?! <.(<<< <.!<< !#.+<< !#.+<<< !0.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<+@? <.<!(! <.!?@@ <.+(** <.!#!* <.#!<< <.#!#!

<.<+@? <.<<?@ <.!!?! <.((#* <.!@!# <.#*<< <.#*#*

in# in#

<.<@<< <.4*+?

<.!!40 <.0*!#

Re!"# "$% &e'(

Re!"# "$% &e'(

Th= Tb= C= = = 7h= 7b= 3=

F F

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF

A%i +&

 A%i +&

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. )6/3*, !+<.<<<< !+<.<<<<

(!04*0(##.)&s

(* O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<<

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

(+ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

VAL9E, VAL9E, H7R.:BR. H7R.:BR. )4/)2*+, )4/)0*+, !+<.<<<< FF !+<.<<<< !+<.<<<< FF !+<.<<<< A%i +&

A%i +&

F F

VAL9E, H7R.:BR. )4/*62, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )4/6*62, FF !+<.<<<< FF !+<.<<<<

A%i +&

A%i +&

VAL9E, H7R.:BR. )4/4*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )4/3*, F !+<.<<<< F !+<.<<<<

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(4+ <.(#?! <.(#?! <.!<< !#.+<< !#.+<<< !*.<<< !#.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(0+ <.(#?! <.(!@( <.!<< !#.+<< !#.+<<< !*.<<< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(## <.(#?! <.#?!? <.!<< !#.+<< !#.+<<< !*.<<< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.#?< <.(#?! <.#**@ <.!<< !#.+<< !#.+<<< !*.<<< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.((4 <.(#?! <.#@*@ <.!<< !#.+<< !#.+<<< !*.<<< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(<< <.(#?! <.#0#+ <.!<< !#.+<< !#.+<<< !*.<<< (.+<< <.#!<

h= b= A!= A#= A(= c=

<.<+#( <.<+#( <.4<?@ #.(?<4 <.#<<+ <.#+<< <.#0+!

<.<+#( <.<*44 <.0*(+ #.!0!< <.#<+? <.#+<< <.#0+!

<.<+#( <.<*<# <.+(@4 !.?!#+ <.!@0+ <.#+<< <.#+?<

<.<+#( <.<(## <.*(#* !.*+## <.!(+@ <.##+* <.##44

<.<+#( <.<#*? <.((!0 !.!!(0 <.<?4! <.!@+@ <.!@4@

<.<+#( <.<!0? <.#!+! <.4##+ <.!4(+ <.#(+@ <.#(?(

<.<+#( <.<!(! <.!00# <.++?! <.!#!* <.#!<< <.#!#!

in# in#

<.!*<0 #.4#!@

<.!*<0 #.+<4+

<.!((# #.!*##

<.!<(4 !.0@!@

<.<4?* !.#4@<

<.!!(0 !.<<@0

<.<@<< <.40@+

Th= Tb= C= = = 7h= 7b= 3=

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

F F

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(4+< <.(4+< <.(#?! <.(#?! <.!<<< !#.+<<< !#.+<<< !*.<<<< !*.<<<< <.#+<<

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. )4/)4 !+<.<<<< !+<.<<<<

A%i +&

Re!"# "$% &e'(

(0 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

FF FF

!+<.<<<< !+<.<<<<

FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF

 A%i +&  A%i +&

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

Th= Tb= C= = = 7h= 7b= 3=

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(*( <.(#?! <.(<<< <.!<< !#.+<< !#.+<<< !*.<<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<+#( <.<<?@ <.!<(* <.(*4# <.!@!# <.#*<< <.#*#*

in# in#

<.!!40 <.0+0<

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. )4/2*3+, !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

(!04*0(##.)&s

(4 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<<

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

(? O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

VAL9E, VAL9E, VAL9E, VAL9E, H7R.:BR. H7R.:BR. H7R.:BR. H7R.:BR. )2*+,/)0*+, )2*+,/*62, )2*+,/6*62, )2*+,/4*, !+<.<<<< FF !+<.<<<< F !+<.<<<< FF !+<.<<<< !+<.<<<< FF !+<.<<<< F !+<.<<<< FF !+<.<<<< A%i +&

A%i +&

A%i +&

A%i +&

VAL9E, H7R.:BR. )2*+,/3*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )2*+,/2*3+, F !+<.<<<< F !+<.<<<<

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(0+ <.(#?! <.(!@( <.!<< !#.+<< !#.+<<< !#.4+< !<.4+< <.#+<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(## <.(#?! <.#?!? <.!<< !#.+<< !#.+<<< !#.4+< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.#?< <.(#?! <.#**@ <.!<< !#.+<< !#.+<<< !#.4+< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.((4 <.(#?! <.#@*@ <.!<< !#.+<< !#.+<<< !#.4+< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(<< <.(#?! <.#0#+ <.!<< !#.+<< !#.+<<< !#.4+< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(4+ <.(*( <.(#?! <.(<<< <.!<< !#.+<< !#.+<<< !#.4+< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<*44 <.<*44 <.+?0< #.#!?+ <.#<+? <.#+<< <.#0+!

<.<*44 <.<*<# <.*@!+ !.?0<4 <.!@0+ <.#+<< <.#+?<

<.<*44 <.<(## <.(@(? !.*@<? <.!(+@ <.##+* <.##44

<.<*44 <.<#*? <.(<#< !.!*(# <.<?4! <.!@+@ <.!@4@

<.<*44 <.<!0? <.!@+@ <.4*!4 <.!4(+ <.#(+@ <.#(?(

<.<*44 <.<!(! <.!+!* <.+4#@ <.!#!* <.#!<< <.#!#!

<.<*44 <.<<?@ <.<@*! <.(+0* <.!@!# <.#*<< <.#*#*

in# in#

<.!*<0 #.+0*@

<.!((# #.!@<*

<.!<(4 !.4(<+

<.<4?* !.(<?0

<.!!(0 !.<#??

<.<@<< <.4?*(

<.!!40 <.00+#

Th= Tb= C= = = 7h= 7b= 3=

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

Re!"# "$% &e'(

Re!"# "$% &e'(

F F

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(4+< <.(4+< <.(#?! <.(#?! <.!<<< !#.+<<< !#.+<<< !#.4+<< !#.4+<< <.#+<<

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. )2*+,/)2*+, !+<.<<<< !+<.<<<<

A%i +&

Re!"# "$% &e'(

(@ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

*< O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

*! O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

VAL9E, VAL9E, H7R.:BR. H7R.:BR. )0*+,/*62, )0*+,/6*62, !+<.<<<< FF !+<.<<<< F !+<.<<<< FF !+<.<<<< F A%i +&

A%i +&

VAL9E, H7R.:BR. )0*+,/4*, !+<.<<<< !+<.<<<<

VAL9E, H7R.:BR. )0*+,/3*, F !+<.<<<< F !+<.<<<<

A%i +&

A%i +&

VAL9E, H7R.:BR. )0*+,/2*3+, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(0+ <.(## <.(!@( <.#?!? <.!<< !#.+<< !#.+<<< !<.4+< ?.0#+ <.##+

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(0+ <.#?< <.(!@( <.#**@ <.!<< !#.+<< !#.+<<< !<.4+< 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(0+ <.((4 <.(!@( <.#@*@ <.!<< !#.+<< !#.+<<< !<.4+< *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(0+ <.(<< <.(!@( <.#0#+ <.!<< !#.+<< !#.+<<< !<.4+< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(0+ <.(*( <.(!@( <.(<<< <.!<< !#.+<< !#.+<<< !<.4+< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<*<# <.<*<# <.*!** !.?*4( <.!@0+ <.#+<< <.#+?<

<.<*<# <.<(## <.((#< !.*?<< <.!(+@ <.##+* <.##44

<.<*<# <.<#*? <.#+*0 !.!(*@ <.<?4! <.!@+@ <.!@4@

<.<*<# <.<!0? <.!0+# <.4(0( <.!4(+ <.#(+@ <.#(?(

<.<*<# <.<!(! <.!#40 <.+0?? <.!#!* <.#!<< <.#!#!

<.<*<# <.<<?@ <.<4@* <.(+(? <.!@!# <.#*<< <.#*#*

in# in#

<.!((# #.!40@

<.!<(4 !.4!@4

<.<4?* !.(<<*

<.!!(0 !.<#(*

<.<@<< <.4?<#

<.!!40 <.00#0

Th= Tb= C= = = 7h= 7b= 3=

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

Re!"# "$% &e'(

F F

!+<.<<<< !+<.<<<<

F F

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(0+< <.(0+< <.(!@( <.(!@( <.!<<< !#.+<<< !#.+<<< !<.4+<< !<.4+<< <.#+<<

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. )0*+,/)0*+, !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

*# O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< !+<.<<<<

F F

!+<.<<<< !+<.<<<<

FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

*( O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<<

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

** O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

 A%i +&

VAL9E, VAL9E, H7R.:BR. H7R.:BR. *62,/6*62, *62,/4*, !+<.<<<< FF !+<.<<<< !+<.<<<< FF !+<.<<<< A%i +&

A%i +&

VAL9E, H7R.:BR. *62,/3*, FF !+<.<<<< FF !+<.<<<<

VAL9E, H7R.:BR. *62,/2*3+, F !+<.<<<< F !+<.<<<<

A%i +&

 A%i +&

A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(## <.#?< <.#?!? <.#**@ <.!<< !#.+<< !#.+<<< ?.0#+ 0.0#+ <.!@0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(## <.((4 <.#?!? <.#@*@ <.!<< !#.+<< !#.+<<< ?.0#+ *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(## <.(<< <.#?!? <.#0#+ <.!<< !#.+<< !#.+<<< ?.0#+ (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(## <.(*( <.#?!? <.(<<< <.!<< !#.+<< !#.+<<< ?.0#+ #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<(## <.<(## <.#00* !.#(+* <.!(+@ <.##+* <.##44

<.<(## <.<#*? <.#<*( <.@*4* <.<?4! <.!@+@ <.!@4@

<.<(## <.<!0? <.!(#+ <.0!*4 <.!0!? <.#(+@ <.#(?(

<.<(## <.<!(! <.!<#* <.*4*? <.!#!* <.#!<< <.#!#!

<.<(## <.<<?@ <.<0(4 <.#@+( <.!4(? <.#*<< <.#*#*

in# in#

<.!<(4 !.*4+!

<.<4?* !.!!#?

<.!!(0 <.?@<!

<.<@<< <.0?0#

<.!!40 <.+?04

Th= Tb= C= = = 7h= 7b= 3=

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

Re!"# "$% &e'( Re!"# "$% &e'(

!+<.<<<< !+<.<<<<

F F

!+<.<<<< !+<.<<<<

F F

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(##< <.(##< <.#?!? <.#?!? <.!<<< !#.+<<< !#.+<<< ?.0#+< ?.0#+< <.##+*

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. *62,/*62, !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

*+ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< !+<.<<<<

F F

!+<.<<<< !+<.<<<<

FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

*0 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<<

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

*4 O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 6*62,/4*, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

VAL9E, H7R.:BR. 6*62,/3*, F !+<.<<<< F !+<.<<<< A%i +&

VAL9E, H7R.:BR. 6*62,/2*3+, FF !+<.<<<< F FF !+<.<<<< F

 A%i +&

A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.#?< <.((4 <.#**@ <.#@*@ <.!<< !#.+<< !#.+<<< 0.0#+ *.+<< <.#(0

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.#?< <.(<< <.#**@ <.#0#+ <.!<< !#.+<< !#.+<<< 0.0#+ (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.#?< <.(*( <.#**@ <.(<<< <.!<< !#.+<< !#.+<<< 0.0#+ #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<#*? <.<#*? <.!+0@ <.40!# <.<?4! <.!@+@ <.!@4@

<.<#*? <.<!0? <.!<!? <.*@(@ <.!#@< <.#(+@ <.#(?(

<.<#*? <.<!(! <.<4?0 <.(?!+ <.!<?( <.#!<< <.#!#!

<.<#*? <.<<?@ <.<*?@ <.#(4( <.!(?+ <.#*<< <.#*#*

in# in#

<.<4?* <.@#04

<.!!(0 <.4(0+

<.<@<< <.+4@?

<.!!40 <.*@(*

Th= Tb= C= = = 7h= 7b= 3=

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

!+<.<<<< !+<.<<<<

!+<.<<<< !+<.<<<<

F F

!+<.<<<< !+<.<<<<

F F

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.#4@@ <.#4@@ <.#**@ <.#**@ <.!<<< !#.+<<< !#.+<<< 0.0#+< 0.0#+< <.!@+@

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 6*62,/6*62, !+<.<<<< !+<.<<<<

Re!"# "$% &e'( Re!"# "$% &e'(

*? O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< !+<.<<<<

F F

!+<.<<<< !+<.<<<<

FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

*@ O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<<

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

+< O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 4*,/3*, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

VAL9E, H7R.:BR. 4*,/2*3+, F !+<.<<<< F !+<.<<<<

 A%i +&

A%i +&

A%i +&

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.((4 <.(<< <.#@*@ <.#0#+ <.!<< !#.+<< !#.+<<< *.+<< (.+<< <.#!<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.((4 <.(*( <.#@*@ <.(<<< <.!<< !#.+<< !#.+<<< *.+<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<!0? <.<!0? <.<0@# <.4(!? <.!4(+ <.#(+@ <.#(?(

<.<!0? <.<!(! <.<+(* <.+0+( <.!#!* <.#!<< <.#!#!

<.<!0? <.<<?@ <.<((# <.(+!0 <.!?0( <.#*<< <.#*#*

in# in#

<.!!(0 !.<!?@

<.<@<< <.4404

<.!!40 <.0+++

Th= Tb= C= = = 7h= 7b= 3=

Re!"# "$% &e'(

Re!"# "$% &e'(

(!04*0(##.)&s

F F

!+<.<<<< !+<.<<<<

FF !+<.<<<< FF !+<.<<<<

!+<.<<<< !+<.<<<<

F F

!+<.<<<< !+<.<<<<

F F

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.((4< <.((4< <.#@*@ <.#@*@ <.!<<< !#.+<<< !#.+<<< *.+<<< *.+<<< <.#(+@

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 4*,/4*, !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

+! O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< !+<.<<<<

F F

!+<.<<<< !+<.<<<<

FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF FF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

+# O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radian

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

!+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<< FFF !+<.<<<<

Th= Tb= C= = = 7h= 7b= 3= h= b= A!= A#= A(= c=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

in# in#

(!04*0(##.)&s

+( O6 ++

 REINFORCEMENT PAD ANALYSIS

REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS  A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (

7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER

* + 0 4 ? @

8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,,  A! ;Re'uired reinforce$en area"in#  A# ;Area fro$ e)cess hicness in %i%e -a&&"=  A(;Area fro$ e)cess hicness in branch -a&&"=

!< !! !# !( !* !+ !0 !4 !? !@

ABBR.

⇒ ⇒ ⇒

TO = Pd =



,h= ,b= Eh= Eb= Y= β radians

⇒ ⇒ ⇒ ⇒ ⇒

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

VAL9E, H7R.:BR. 3*,/2*3+, !+<.<<<< !+<.<<<<

 A%i +&

A%i +&

 A%i +&

A%i +&

#<<<< #<<<< !.<<<< !.<<<< <.*<<< !.+4<? <.(<<< <.(<<< <.#0#+ <.#0#+ <.!<<< !#.+<<< !#.+<<< (.+<<< (.+<<< <.#!<<

#<<<< #<<<< !.<< !.<< <.*< !.+4 <.(<< <.(*( <.#0#+ <.(<<< <.!<< !#.+<< !#.+<<< (.+<< #.(4+ <.#*<

h= b= A!= A#= A(= c=

<.<!(! <.<!(! <.<*!+ <.*4** <.!#!* <.#!<< <.#!#!

<.<!(! <.<<?@ <.<#+? <.#@+! <.!++( <.#*<< <.#*#*

in# in#

<.<@<< <.0?+?

<.!!40 <.+0?<

Th= Tb= C= = = 7h= 7b= 3=

$ini$u$ &eg di$ension of fi&&e -e&d  A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=

VAL9E, H7R.:BR. 3*,/3*, !+<.<<<< !+<.<<<<

Re!"# "$% &e'(

FF FF

Re!"# "$% &e'(

(!04*0(##.)&s

+* O6 ++

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