Download - Reinforcement of Nozzle
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SHELL INPUTS Internal pressure P psi 25
Internal diameter of the shell D inch 78
Reqd. thickness of shell (corresponding to internal pressure) inch .2
Reqd. thickness of shell (corresponding to e!ternal pressure) inch .""
#llo$a%le stress in shell at gi&en temp psi '88
orrosion allo$ance of shell Iinch .'25
hell thickness pro&ided inch .*75
NOZZLE INPUTS
t+pe of no,,le set in nozzle with pad-o,,le .D. d/ inch *0
-o,,le $all thickness pro&ided inch .875
no,,le pro1ection outside the &essel $all inch 8
allo$a%le stress in no,,le psi '8
ffset distance ff inch '8.25
reqd. no,,le thickness(corresponding to e!ternal pressure) inch .'25
REINFORCING PAD INPUTS
outside diameter of reinforcing pad inch 52
thickness of reinforcing pad inch 52
is it split t+pe padding NO
WELD LEGS INPUTS
$eld leg %et$een pad and shell inch
$eld leg %et$een no,,le and padshell inch '0
CERTAIN DERIVED PARAMETERS
corrosion allo$ance of no,,le (internal onl+) inch .'25
allo$a%le stress in reinforcing pad at gi&en temp psi '88
hell thickness after corrosion t inch .25
-o,,le $all thickness after corrosion inch .75
inside diameter of no,,le d inch *".5
$idth of reinforcing pad 3 inch 8
la+out angle 4 radian ."85277
reqd. no,,le thk inch .2"80'
Reqd. thickness of shell (go&erning the case) inch .""
USE ASME CODE SECTION-8 DIVISION I (UG-3!
tr6inttr6e!t
&
c.a.6shell
t/
tn
/
pr'
n
tr n6e!t
Dp
te
leg'
leg2
c.a.6no,,le
p
tn
tr n
tr
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CONSIDE" #I$UID %EAD
&IT%OUT CO""OSION A##O&ANCE
&IT%OUT CO""OSION A##O&ANCE
SE#ECT '"OM D"O DO&N #IST
3#R-I-9::;< #-< =; >R;
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MIN NOZZLE THICKNESS (ACCORDING TO UG-45)
inch .*7*0'
inch .505
inch .25
inch *.*"5
inch .505
"OVIDED NO))#E &A## T%IC*NESS IS SU''ICIENT
LIMITS OF REINFORCEMENT
D' inch 0
tlnp inch .025
CALCULATION OF CERTAIN FACTORS
fr'6fr2 A A .57"5n&
ta
(P(d/)(2(nB(."CP)))Bc.a.
6no,,le
t%'
tintBc.a.6no,,le
t%2
te!t
Bc.a.6no,,le
t%*
from ta%le Bc.a.6no,,le
min no,,le thickness(tug"5
)
ma!(ta6.min(t
%*6ma!(t
%26t
%')))
limit parallel to &essel $all (D')
2Cma!(d6RnBt
nBt)
limit normal to &essel $all (tlnp
)
min(2.5t62.5tnBt
e)
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min(n6p)&A A .
fr"A A '
p&
force correlation factor A A '
if integral t+pe(.75B.25cos2)6else '
AREA CALCULATION
#rea required'5.7708'
#rea a&aila%le in shellA.'22287
#rea a&aila%le in no,,le.00
#rea a&aila%le in $elds250
#rea a&aila%le in pad8*2
#rea a&aila%le in hu%
#rea a&aila%le in %e&el
#rea a&aila%le in hu% plus %e&el
total area a&aila%le'87.*8
OENING IS ADE$UATE#+ "EIN'O"CED
#r inch
2
Eif frF'G dtr : B 2t
ntr :('Af
r')6 else dt
r :
#' inch
2
ma!(dE;'tA:t
r GA2t
n(;
'tA:t
r )('Af
r') 6 2(tBt
n)(;
'tA:t
r )A2t
n(;
'tA:t
r )('Af
r'))
#2 inch
2
min(5f r2t(t
nAt
r n)62f
r2tn(t
nAt
r n)(2.5t
nBt
e)
#" inch
2
(leg')2f
r'
#5 inch
2
(min(Dp62Cd62C(R
nBt
nBt))AdA2t
n)t
ef r"
#0' inch
2
2Cmin(h6tlnp
6pr'
)C(HAtn/)Cf
r2
#02 inch
2
ma!(tlnp
Ah6)C((ma!(tlnp
Ah6)/)C(HAtn))B(HAt
nA((ma!(t
lnpAh6)/))C(HAtn))
#0 inch
2
#0'
B#02
#< inch
2
#'B#
2B#
"'B#
"2B#
5B#
0'B#
02
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CA#CU#ATION ,+ AENDI .-./
MIN NOZZLE THICKNESS (ACCORDING TO UG-45)
inch .*7*0'
inch .505
inch .25
inch *.*"5
inch .505
"OVIDED NO))#E &A## T%IC*NESS IS SU''ICIENT
CERTAIN PARAMETERS
inside radius of no,,leinch '7.25
effecti&e pressure radiusinch *.'25
LIMITS OF REINFORCEMENT
ta
(P(d/)(2(nB(."CP)))Bc.a.
6no,,le
t%'
tint
Bc.a.6no,,le
t%2
te!t
Bc.a.6no,,le
t%*
from ta%le Bc.a.6no,,le
min no,,le thickness(tug"5)
ma!(ta6.min(t
%*6ma!(t
%26t
%')))
Rn(d/A2t
n)2
Reff D2Bc.a
6shell.
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.
inch *.5550'
inch 8.25
inch "'8
for calculating ?inch
effecti&e no,,el $all lengthinch *.5550'
effecti&e thickness used in calc. of pressure stressinch .25
CALCULATION OF AREAS
A 7.57
area contri%uted %+ &essel'.2"*25
area contri%uted %+ no,,le2.2'07'
area contri%uted %+ $elds'28
area contri%uted %+ reinforcing pad'*
total area a&aila%le 20'.5*5
ALLOWABLE STRESS
allo$a%le local primar+ mem%rane stresspsi 27
FORCE CALCULATION
no,,le radius opening in &essel along long chordinch '.5'5"
internal pressure force on no,,lel% '2.88
R 8t6't68(tBte)(acc to diff condtns.)
for calculating ?
?'tB.78(Rntn).5
for calculating ?
?2pr' B t
for calculating ?
?*8(tBte)
?"H(hBt)B.78(t
n(HAc.a.))(R
ntn).5
?if(hJ)6min(
?'6
?26
?*) else min(
?'6
?26
?")
teff if t
eK.5tand $K8(tBt
e)6tBt
e else t
for calculating #'
min('6 (2RnBt
n)((DBt
eff )t
eff ).5
#' inch
2
tRma!('6")
#2 inch
2
if(?FhBt)t
n
?else(H(hBt)B.78(t
n2(HAc.a.))(R
ntn).5)
#" inch
2
.5eg'
2 B .5leg22
#5 inch
2
min(#5a
6#5%
)
#< inch
2
#'B#
2B#
"'B#
"2B#
5
allo$'.5C
n
RncR
ncosL
f -PR ( At)
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internal pressure force on shelll% *'.780
discontinuit+ force from internal pressurel% '.7""
MAXIMUM ALLOWABLE PRESSURE CALCULATION
*8.5"
psi A'8.8'0"
psi ''.5'0
no,,le ma!imum allo$a%le pressurepsi A'8.8'0"
STRESS CALCULATION
a&erage primar+ mem%rane stresspsi 8.7'552
general primar+ mem%rane stresspsi *'2.5
ma!. local primar+ mem%rane stress at no,,le intersectionpsi *'2.5
f PR
eff (
RBt
n)
f MPR
eff R
nc
used in calculation of Pma!' #
P inch2
Rn(
?At)BR
eff (
RBt
nBR
nc)
used in calculation of Pma! P
ma!'allo$
(2(#p#
<)A(R
eff t
eff ))
used in calculation of Pma! P
ma!2nC(tR
eff )
Pma!min(P
ma!'6P
ma!2)
Na&g(f
-Bf
Bf
M)#
<
NcircPr
eff t
eff
Pma!E2N
a&gAN
circ6N
circG
OENING IS NOT ADE$UATE#+ "EIN'O"CED0 INC"EASE T%IC*NESS O'"EIN'O"CING E#EMENTS
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CA#CU#ATION ,+ AENDI .-
MIN NOZZLE THICKNESS (ACCORDING TO UG-45)
mm .*7*0'
mm .505
mm .25
mm *.*"5
mm .505
"OVIDED NO))#E &A## T%IC*NESS IS SU''ICIENT
CONDITION ON LIMIT OF REINFORCEMENT
area required for reinforcement'5.7708'
from ugA*7
t$o third of area required'.5'787
LIMITS OF REINFORCEMENT
limit parallel to &essel $allmm 5'.75
limit normal to &essel $allmm .025
AREA CALCULATION
area contri%uted %+ shell
A*.'787
area contri%uted %+ no,,le.00
same as in ugA*7
area contri%uted %+ $elds250
same as in ugA*7
area contri%uted %+ pad
ta
(P(d/)(2(nB(."CP)))Bc.a.
6no,,le
t%'
tintBc.a.6no,,le
t%2
te!t
Bc.a.6no,,le
t%*
from ta%le Bc.a.6no,,le
min no,,le thickness(tug"5
)
ma!(ta6.min(t
%*6ma!(t
%26t
%')))
so1e additional 2onditions ae i1posed on 45-3 when we 4se appendi6 .- 74t aea
e4ied 9o ein9o2e1ent e1ains the sa1e and th4s we will die2tl: 4se it
(AT,l
AR )
#< mm
2
#R mm
2
.0000000C#<
d'2Cma!(.75Cd6R
nBtBt
n)
d2min(2.5Ct62.5t
nBt
e)
#' mm
2
(d'A2CRn)CE;'tA:tr GA2tn(;'tA:tr )('Af r')
#2 mm
2
#" mm
2
2
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area contri%uted %+ hu%
same as in ugA*7
area contri%uted %+ %e&el
same as in ugA*7
total area $ithin limits'72."
#IMIT O' "EIN'O"CEMENT IS SATIS'IED
2he2; 9ollowin5 2ondition on stesses onl: i9 nozzle I
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CALCULATION OF SHADED AREAS FOR MEMBRANE STRESS
mean radius of shellmm *.25
mean radius of no,,lemm '7.025
shaded area in fig 'A7A' '77.'280
CALCULATION OF AREAS FOR BENDING STRESS
area of shell'
area of reinforcing pad28
area of no,,le0.'875
area of hu%
area of %e&el
CALCULATION OF MOMENT OF INERTIA
distance %et$een neutral a!is Oshell mid$ell e mm 20.'7252
distance %et$een neutral a!is and shell %ottoma mm 20.2752
eBt2
moment of inertia I "8".2"
STRESS CALCULATION ma!. mem%rane stress
252.755
%ending moment> kgfcm "02.87*
ma! %ending stress2"".2"5
>aI
RmReff B t2
RnmR
nB t
n2
#s mm
2
#' mm
2
tCma!('0t6(Rmt).5)
#2 mm
2
teCmin('0t636(R
mt).5)
#* mm
2
tnCmin(
pr'Bt6ma!(tBt
eB(R
nmtn).56tBt
eB'0t
n))
#" mm
2
(HAtn/)C(k
'Bt)
#5 mm
2
.5C(HAtn/)Ck2
mm"
m kgfcm
2
P(R(RnBt
nB(R
mt).5)BR(tB(R
nmtn).5))#
s
P(Rn*0 BRR
ne)
% kgfcm
2
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com%ined mem%rane and %ending stress"0.78"'
allo$a%le mem%rane stress'8
allo$a%le com%ined mem%rane and %ending stress27
'.5Cn
ST"ESS CONDITION IS SATIS'IED
mB% kgfcm
2
m
B%
m6allo$ kgfcm
2
n
mB%6allo$ kgfcm
2
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C(HAtn/)Cmin(/6(tBt
nB(R
nmtn).5Ah))B(
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Atn/)C(tBmin(tBt
eB(R
nmtn).56h))Bt
n(tBt
eB(R
nmtn)
.5)B tC(Rmt).5B t
e(min('0t6
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a5e No
Do2< No< "e?ision
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-; R#DI@ :R :R; #@#
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STRENGTH OF NOZZLE ATTACHMENT WELDS
DI-
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2E-006 0.01183
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;rr952
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