Branch Table
Comments
Content
BRANCH TABLE GENERATOR
BY A.V A.V.. Acharya
Procedure for using branch generaor. generaor. !"There are # co$%onens for he s%readshee he ca&cu&aion %ar and he brach ab&e generaor. generaor. #"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 ("is %referab&e o use $aser co%y of e)ce& shee before each ca&cu&aion for each s%ec *"he branch ab&e generaed can be co%ied o oher s%readshees for use +" ,ar -ih he -or shee / (0/ $aser for daa enry / ener daa fu&&y 1 -hen daa has been enered fu&&y he conse'uen ab&es a&so change change 1 bu i is ad2isab&e o chec daa in he conse'uen conse'uen ab&es of correcness 0" 3hen he daa has been enered and i can bee seen ha he branch branch ab&e -orshee changes 1 indicaing ha ha reinforce$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
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
R
R
R
R
R
P
P
P
P
P
P
P
R
R
R
R
R
R
R
R
R
R
R
P
P
P
R
R
R
R
R
R
R
R
R
R
R
P
P
P
R
R
R
R
R
R
R
R
R
R
R
R
R
P
P
P
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
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
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
R
R
R
R
R
P
P
P
P
P
P
P
R
R
R
R
R
R
R
R
R
R
R
P
P
P
R
R
R
R
R
R
R
R
R
R
R
P
P
P
R
R
R
R
R
R
R
R
R
R
R
R
R
P
P
P
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
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 ;bea" β NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 HEA7ER HEA7ER P5PE.;5NCH P5PE.;5NCH." ." NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 BRANCH BRANCH P5PE.;5NC P5PE.;5NCH." H." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# area"in# A# ;Area fro$ e)cess e)cess hicness in %i%e -a&&"= -a&&"= A(;Area fro$ e)cess hicness hicness 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#
<.#+<< 4.40<<
<.<@@# 0.@0@#
<.<@@# 0.+4<<
<.<@@# 0.!4<?
<.<@@# +.44!0
<.<@@# +.(4#(
<.!*<0 +.<4+0
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'(
Re!"# "$% &e'(
A%i +&
Re!"# "$% &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 ;bea" β NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 HEA7ER HEA7ER P5PE.;5NCH P5PE.;5NCH." ." NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 BRANC BRANCH H P5PE.;5N P5PE.;5NCH." CH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# area"in# A# ;Area fro$ e)cess hicness hicness in %i%e -a&&"= -a&&"= A(;Area fro$ e)cess hicness hicness 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 ;bea" β NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 HEA7ER HEA7ER P5PE.;5NCH P5PE.;5NCH." ." NO85NAL NO85NAL TH5CNE,, TH5CNE,, O6 BRANCH BRANCH P5PE.;5NC P5PE.;5NCH." H." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess e)cess hicness 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=
<.!(*0 <.<(## !.!!#< !.040( <.!(+@ <.##+* <.##44
<.!(*0 <.<#*? <.?+#4 !.#?+* <.<?4! <.!@+@ <.!@4@
<.!(*0 <.<!0? <.++(# <.?(*< <.!4(+ <.#(+@ <.#(?(
<.!(*0 <.<!(! <.*#4( <.0**# <.!#!* <.#!<< <.#!#!
<.!(*0 <.<<?@ <.#0+? <.*<<4 <.!@!# <.#*<< <.#*#*
in# in#
<.!<(4 !.@!+@
<.<4?* !.*+<@
<.!!(0 !.!#!<
<.<@<< <.?++0
<.!!40 <.4<@+
,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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
VAL9E, H7R.:BR. 34/34 !+<.<<<< !+<.<<<<
Re!"# &e'(
(!04*0(##.)&s
Re!"# &e'(
A%i +&
Re!"# &e'(
0 O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
VAL9E, H7R.:BR. 34/20 !+<.<<<< !+<.<<<<
Re!"# &e'(
Re!"# &e'(
(!04*0(##.)&s
4 O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
VAL9E, H7R.:BR. 32/32 !+<.<<<< !+<.<<<<
Re!"# &e'(
(!04*0(##.)&s
Re!"# &e'(
A%i +&
Re!"# &e'(
@ O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
VAL9E, H7R.:BR. 32/) !+<.<<<< !+<.<<<<
Re!"# &e'(
Re!"# &e'(
(!04*0(##.)&s
!< O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
VAL9E, H7R.:BR. 30/30 !+<.<<<< !+<.<<<<
Re!"# &e'(
(!04*0(##.)&s
Re!"# &e'(
A%i +&
Re!"# &e'(
!# O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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!"# "$% &e'(
(!04*0(##.)&s
!* O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
VAL9E, H7R.:BR. 2/2 !+<.<<<< !+<.<<<<
Re!"# &e'(
(!04*0(##.)&s
Re!"# &e'(
A%i +&
Re!"# &e'(
!+ O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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!"# "$% &e'(
!0 O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
#< O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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!"# "$% &e'(
## O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
#( O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
#0 O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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!"# "$% &e'(
#? O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
#@ O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
(# O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
VAL9E, H7R.:BR. )6/3*, !+<.<<<< !+<.<<<<
(!04*0(##.)&s
(* O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
(+ O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
(? O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
*< O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
*! O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
*( O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
** O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
*0 O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
*4 O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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!"# "$% &e'(
*? O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
*@ O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
+< O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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 ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, 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 TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
+# O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # ( * + 0 4 ? @ !< !! !# !( !* !+ !0 !4 !? !@
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER 8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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$ension of fi&&e -e&d A*;Area in branch -e&ds" a2ai&ab&e area A#A(A*=
in# in#
(!04*0(##.)&s
+( O6 ++
REINFORCEMENT PAD ANALYSIS
REQUIREMENT OF REINFORCEMENT FOR PIPE BRANCH OF METALS A!A Spec-: ,R. 7E,CR5PT5ON NO. ! # (
7E,5GN TE8PERAT9RE ;7EG.6." 7E,5GN PRE,,9RE ;P,5G." 8ATER5AL O6 CON,TR9CT5ON 6OR HEA7ER
* + 0 4 ? @
8ATER5AL O6 CON,TR9CT5ON 6OR BRANCH ALLO3ABLE ,TRE,, VAL9E O6 HEA7ER.;P,5" ALLO3ABLE ,TRE,, VAL9E O6 BRANCH.;P,5" >O5NT E665C5ENCY 6OR HEA7ER >O5NT E665C5ENCY 6OR BRANCH COE665C5ENT Branch ang&e ;bea" β NO85NAL TH5CNE,, O6 HEA7ER P5PE.;5NCH." NO85NAL TH5CNE,, O6 BRANCH P5PE.;5NCH." ACT9AL OR 8EA,9RE7 TH5CNE,, HEA7ER ACT9AL OR 8EA,9RE7 TH5CNE,, BRANCH CORRO,5ON ALLO3ANCE.;5NCH." 85LL TOLERANCE ;HEA7ER". 85LL TOLERANCE ;BRANCH". O9T,57E 75A8ETER O6 P5PE HEA7ER.;5NCH." O9T,57E 75A8ETER O6 BRANCH P5PE.;5NCH." ,5DE O6 3EL7 LEG.;5NCH." ANALYSIS 85N5898 P5PE HEA7ER PRE,,9RE TH5CNE,, 85N5898 P5PE BRANCH PRE,,9RE TH5CNE,, A! ;Re'uired reinforce$en area"in# A# ;Area fro$ e)cess hicness in %i%e -a&&"= A(;Area fro$ e)cess hicness 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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