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SHELL INPUTSInternal pressure P kgf/cm2 5.602Internal diameter of the shell D mm 3500Reqd. thickness of shell (corresponding to internal pressure) mm 7.0096Reqd. thickness of shell (corresponding to external pressure) mm 0Allowable stress in shell at given temp kgf/cm2 1406.14Corrosion allowance of shell mm 3.2Shell thickness provided mm 14
NOZZLE INPUTStype of nozzle set on nozzle without padNozzle O.D. d' mm 610Nozzle wall thickness provided mm 16nozzle projection outside the vessel wall mm 400allowable stress in nozzle kgf/cm2 1406.14Offset distance Off mm 0reqd. nozzle thickness(corresponding to external pressure) mm 1.34
REINFORCING PAD INPUTSoutside diameter of reinforcing pad mm 0thickness of reinforcing pad mm 0is it split type padding NO
INTEGRAL NOZZLE INPUTShub height of integral nozzle h mm 25height of beveled transition L' mm 20hub thickness of integral nozzle X mm 100
WELD LEGS INPUTSweld leg between pad and shell mm 0weld leg between nozzle and pad/shell mm 16
CERTAIN DERIVED PARAMETERScorrosion allowance of nozzle (internal only) mm 3.2allowable stress in reinforcing pad at given temp kgf/cm2 1406.14Shell thickness after corrosion t mm 10.8Nozzle wall thickness after corrosion mm 12.8inside diameter of nozzle d mm 584.4width of reinforcing pad W mm 0layout angle θ radian 0reqd. nozzle thk mm 1.213173Reqd. thickness of shell (governing the case) mm 7.0096
USE ASME CODE SECTION-8 DIVISION I (UG-37)
DESIGN CALCULATION FOR SET IN, SET ON NOZZLE WITH AND WITHOUT PAD AND SELF REINFORCED NOZZLE
tr,int
tr,ext
Sv
c.a.,shell
t'
tn'
Lpr1
Sn
tr n,ext
Dp
te
leg1
leg2
c.a.,nozzle
Sp
tn
tr n
tr
CONSIDER LIQUID HEAD
WITHOUT CORROSION ALLOWANCEWITHOUT CORROSION ALLOWANCE
SELECT FROM DROP DOWN LIST
SELECT FROM DROP DOWN LIST
WARNING:PUT ALL FIELDS AS ZERO0
MIN NOZZLE THICKNESS (ACCORDING TO UG-45)
mm 4.413173
mm 10.2096
mm 4.54
mm 11.54
mm 10.2096
PROVIDED NOZZLE WALL THICKNESS IS SUFFICIENT
LIMITS OF REINFORCEMENT
D1 mm 1168.8
tlnp mm 27
CALCULATION OF CERTAIN FACTORSfr1,fr2 - - 1Sn/Sv
fr3 - - 1
CALCULATIONS BY ASME CODE SECTION-8 DIVISION I (UG-37)
ta
(P(d')/(2(Sn+(0.4*P)))+c.a.,nozzle
tb1
tint+c.a.,nozzle
tb2
text+c.a.,nozzle
tb3
from table +c.a.,nozzle
min nozzle thickness(tug45)
max(ta,.min(tb3,max(tb2,tb1)))
limit parallel to vessel wall (D1)2*max(d,Rn+tn+t)
limit normal to vessel wall (tlnp)min(2.5t,2.5tn+te)
min(Sn,Sp)/Sv - - 1
fr4 - - 1Sp/Sv
force correlation factor - - 1if integral type(0.75+0.25cos2ǿ),else 1
AREA CALCULATIONArea required
4096.41
Area available in shell2215.11
Area available in nozzle625.6886
Area available in welds256
Area available in pad0
Area available in hub 0
Area available in bevel0
Area available in hub plus bevel0
total area available3096.798
Ar mm2
[if fr<1] dtrF + 2tntrF(1-fr1), else dtrF
A1 mm2
max(d[E1t-Ftr]-2tn(E1t-Ftr)(1-fr1) , 2(t+tn)(E1t-Ftr)-2tn(E1t-Ftr)(1-fr1))
A2 mm2
min(5fr2t(tn-tr n),2fr2tn(tn-tr n)(2.5tn+te)
A4 mm2
(leg1)2fr1
A5 mm2
(min(Dp,2*d,2*(Rn+tn+t))-d-2tn)tefr4
A61 mm2
2*min(h,tlnp,Lpr1)*(X-tn')*fr2
A62 mm2
max(tlnp-h,0)*((max(tlnp-h,0)/L')*(X-tn))+(X-tn-((max(tlnp-h,0)/L'))*(X-tn))*max(tlnp-h,0)*2
A6 mm2
A61+A62
AT mm2
A1+A2+A41+A42+A5+A61+A62
OPENING IS NOT ADEQUATELY REINFORCED, INCREASE THICKNESS OF REINFORCING ELEMENTS
CALCULATION BY APPENDIX 1-10
MIN NOZZLE THICKNESS (ACCORDING TO UG-45)
mm 4.413173
mm 10.2096
mm 4.54
mm 11.54
mm 10.2096
PROVIDED NOZZLE WALL THICKNESS IS SUFFICIENT
CERTAIN PARAMETERSinside radius of nozzle
mm 292.2
effective pressure radiusmm 1753.2
LIMITS OF REINFORCEMENTeffective vessel wall length
mm 86.4
ta
(P(d')/(2(Sn+(0.4*P)))+c.a.,nozzle
tb1
tint+c.a.,nozzle
tb2
text+c.a.,nozzle
tb3
from table +c.a.,nozzle
min nozzle thickness(tug45)
max(ta,.min(tb3,max(tb2,tb1)))
Rn(d'-2tn)/2
ReffD/2+c.a,shell.
LR
mm 86.4
mm 141.9814
mm 410.8
mm 86.4
for calculating LHmm 0
effective nozzel wall lengthmm 0
effective thickness used in calc. of pressure stressmm 10.8
CALCULATION OF AREAS
λ - 3.495137
area contributed by vessel933.12
area contributed by nozzle0
area contributed by welds128
area contributed by reinforcing pad0
total area available1061.12
ALLOWABLE STRESSallowable local primary membrane stress
2109.21
FORCE CALCULATIONnozzle radius opening in vessel along long chord
mm 292.2
internal pressure force on nozzlekgf -176.7857
LR 8t,10t,8(t+te)(acc to diff condtns.)
for calculating LHLH1
t+0.78(Rntn)0.5
for calculating LHLH2
Lpr1 + t
for calculating LHLH3
8(t+te)
LH4X(h+t)+0.78(tn/(X-c.a.))(Rntn)0.5
LHif(h=0),min(LH1,LH2,LH3) else min(LH1,LH2,LH4)
teffif te>0.5tand w>8(t+te),t+te else t
for calculating A1
min(10, (2Rn+tn)/((D+teff)teff)0.5
A1 mm2
tLRmax(1,λ/4)
A2 mm2
if(LH<h+t)tnLH else(X(h+t)+0.78(tn2/(X-c.a.))(Rntn)0.5)
A4 mm2
0.5Leg12 + 0.5leg2
2
A5 mm2
min(A5a,A5b)
AT mm2
A1+A2+A41+A42+A5
Sallow kgf/cm2
1.5*Sn
RncRn/cosΦ
fNPRn(LH-t)
internal pressure force on shellkgf 17992.85
discontinuity force from internal pressurekgf 28698.21
MAXIMUM ALLOWABLE PRESSURE CALCULATION
830315.5
1.503736
8.662053
nozzle maximum allowable pressure1.503736
STRESS CALCULATIONaverage primary membrane stress
4383.508
general primary membrane stress909.3913
max. local primary membrane stress at nozzle intersection7857.624
fSPReff(LR+tn)
fYPReffRnc
used in calculation of Pmax1AP mm2
Rn(LH-t)+Reff(LR+tn+Rnc)
used in calculation of PmaxPmax1 kgf/cm2
Sallow/(2(Ap/AT)-(Reff/teff))
used in calculation of PmaxPmax2 kgf/cm2
Sn*(t/Reff)
Pmax kgf/cm2
min(Pmax1,Pmax2)
σavg kgf/cm2
(fN+fS+fY)/AT
σcirc kgf/cm2
Preff/teff
PL kgf/cm2
max[2σavg-σcirc,σcirc]
OPENING IS NOT ADEQUATELY REINFORCED, INCREASE THICKNESS OF REINFORCING ELEMENTS
CALCULATION BY APPENDIX 1-7MIN NOZZLE THICKNESS (ACCORDING TO UG-45)
mm 4.413173
mm 10.2096
mm 4.54
mm 11.54
mm 10.2096
PROVIDED NOZZLE WALL THICKNESS IS SUFFICIENT
CONDITION ON LIMIT OF REINFORCEMENT
area required for reinforcement 4096.41from ug-37
two third of area required2730.94
LIMITS OF REINFORCEMENTlimit parallel to vessel wall
mm 876.6
limit normal to vessel wallmm 27
AREA CALCULATIONarea contributed by shell
1107.555
area contributed by nozzle 625.6886same as in ug-37
area contributed by welds 256same as in ug-37
area contributed by pad 0
ta
(P(d')/(2(Sn+(0.4*P)))+c.a.,nozzle
tb1
tint+c.a.,nozzle
tb2
text+c.a.,nozzle
tb3
from table +c.a.,nozzle
min nozzle thickness(tug45)max(ta,.min(tb3,max(tb2,tb1)))
some additional conditions are imposed on ug-37 when we use appendix 1-7 but arearequired for reinforcement remains the same and thus we will directly use it
(AT,l > AR)
AT mm2
AR mm2
0.6666666*AT
d12*max(0.75*d,Rn+t+tn)
d2min(2.5*t,2.5tn+te)
A1 mm2
(d1-2*Rn)*[E1t-Ftr]-2tn(E1t-Ftr)(1-fr1)
A2 mm2
A4 mm2
A5 mm2
0
area contributed by hub 0same as in ug-37
area contributed by bevel 0same as in ug-37
total area within limits1989.244
LIMIT OF REINFORCEMENT IS NOT SATISFIED
check following condition on stresses only if nozzle I.D. is greater than 1000mm
FOR GIVEN INPUTS IT NEED NOT BE CHECKEDCONDITION ON STRESSES
A5 mm2
min((d1-d-2tn)tefr4,(Dp-d-2tn)tefr4)
A61 mm2
A62 mm2
AT,l mm2
Aq+A2+A41+A42+A5+A61+A62
and 3.4 (Rt)0.5 and and vessel I.D. is greater than 1500mm
(Sm<Sm,allow and Sm+b<Sm+b,allow)
CALCULATION OF SHADED AREAS FOR MEMBRANE STRESSmean radius of shell
mm 1758.6
mean radius of nozzlemm 298.6
shaded area in fig 1-7-1 6265.172
CALCULATION OF AREAS FOR BENDING STRESSarea of shell
1866.24
area of reinforcing pad0
area of nozzle2759.68
area of hub0
area of bevel0
CALCULATION OF MOMENT OF INERTIA
distance between neutral axis &shell midwell e mm 61.08866
distance between neutral axis and shell bottoma mm 66.48866e+t/2
moment of inertia I 22382297
STRESS CALCULATIONmax. membrane stress
713.1405
bending momentM kgfcm 198606.9
max bending stress589.9798Ma/I
RmReff + t/2
RnmRn + tn/2
As mm2
A1 mm2
t*max(16t,(Rmt)0.5)
A2 mm2
te*min(16t,W,(Rmt)0.5)
A3 mm2
tn*min(Lpr1+t,max(t+te+(Rnmtn)0.5,t+te+16tn))
A4 mm2
(X-tn')*(k1+t)
A5 mm2
0.5*(X-tn')*k2
mm4
Sm kgf/cm2
P(R(Rn+tn+(Rmt)0.5)+R(t+(Rnmtn)0.5))/As
P(Rn3/6 +RRne)
Sb kgf/cm2
combined membrane and bending stress1303.12
allowable membrane stress1406.14
allowable combined membrane and bending stress2109.211.5*Sn
STRESS CONDITION IS SATISFIED
Sm+b kgf/cm2
Sm +Sb
Sm,allow kgf/cm2
Sn
Sm+b,allow kgf/cm2
0.5*(X-tn')*min(L',(t+tn+(Rnmtn)0.5-h))+(X-tn')*(t+min(t+te+(Rnmtn)0.5,h))+tn(t+te+(Rnmtn)0.5)+ t*(Rmt)0.5+ te(min(16t,W)
nmtn)0.5-h))+(X-tn')*(t+min(t+te+(Rnmtn)0.5,h))+tn(t+te+(Rnmtn)0.5)+ t*(Rmt)0.5+ te(min(16t,W)
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INTERNAL PRESSURE P Kgf/cm2 5.602JOINT EFFICIENCY E - 1INSIDE DIA OF SHELL Di mm 3500OUTSIDE DIA OF NOZZLE Do mm 610INSIDE RADIUS OF NOZZLE Rn mm 292.2INSIDE DIA OF NOZZLE D mm 584.4HEAD THICKNESS t mm 70NOZZLE THICKNESS tn2 mm 16HUB THICKNESS tn mm 100HUB HEIGHT Lx3 mm 25CORROSION ALLOWANCE C mm 3.2SHELL ALLOWBLE S Kgf/cm2 1406.14NOZZLEALLOWBLE SN Kgf/cm2 1406.14OUTSIDE NOZZLE FILLET WELD Leg mm 16BEVEL HEIGHT Lx4-Lx3 mm 84GIVEN PERPENDICULAR LIMIT OF REINFORCEMENT Lpr1 mm 133.0171
COMPUTED MINIMUM REQUIRED THICKNESS
tn2 mm 4.366434
DO THK.323.8 8.34273 8.11
219.1 7.16168.3 6.22141.3 5.73114.3 5.27101.6 5.0288.9 4.873 4.52
60.3 3.4248.3 3.2242.2 3.1233.4 2.9626.7 2.5121.3 2.4217.1 2.0213.7 1.9610.3 1.51
610 8.34
HENCE MIN REQIRED THK OF NOZZLE MAX(tnX,tnY) 11.54
THICKNESS OF NOZZLE IS ADEQUATETHICKNESS OF NOZZLE IS NOT ADEQUATE
NOZZLE MATERIAL FACTORfrn - 1MIN(Sn/S,1)
EFFECTIVE HUB THICKNESS tneff mm 96.8
DESIGN CALCULATION FOR VARIBLE THICKNESS NOZZLE TO HEMI HEAD
0.5*D*(EXP(P/(S*E))-1)+C
THIS IS MINIMUM REQUIRED THICKNESS OF NOZZLE AS PER TABLE 4.5.2 . BUT WE HAVE TO CHECK MINIMUM THICKNESS OF NOZZLE BY INTERNAL
PRESSURE & EXTERNAL PRESSURE CALCULATION ALSO
tn-c tneff mm 96.8
EFFECTIVE NOZZLE THICKNESS tn2eff mm 12.8tn2-c
SHELL DIA TO THICKNESS RATIO (DI+2C)/t - 52.49102
EFFECTIVE RADIUS OF SHELL Reff mm 1753.2
PARALLEL LIMIT OF REINFORCEMENTEFFECTIVE LENGTH OF VESSEL WALL
LR mm 342MIN(SQRT(Reff x t),2 x Rn)
PERPENDICULAR LIMIT OF REINFORCEMENTFEA DERIVED FACTOR TO MODIFY NOZZLE LENGTH
Cn - 0.878244MIN((t/tn)^0.35,1)
NOZZLE ATTACHMENT FACTOR Fp - 0.878244
LH1 ( Fp x SQRT(Rn,tn) ) LH1 mm 147.7043LH2 (Equal to Lpr1) LH2 mm 133
EFFECTIVE NOZZLE WALL LENGTH OUTSIDE THE VESSELLH mm 199.8171
MIN(LH1,LH2) + t
NON LINERATITY PARAMETER λ - 1.394305
AREA CALCULATIONAREA PROVIDED BY VESSEL WALL
A1 cm2 228.6022t x LR x max(λ/5^0.85),1)
A2 (IF PERPENDICULAR LIMIT IF LESS THAN HUB HEIGHT) A2 193.423
A2a ( REINFORCEMENT BY HUB) A2a 24.2
A2b ( REINFORCEMENT BY BEVEL) A2b 16.41785
A2c ( REINFORCEMENT BY BEVEL+ NOZZLE WALL) A2C 57.67096
TOTAL AREA PROVIDED BY NOZZLE A2 81.87096
AREA PROVIDE BY NOZZLE-SHELL FILLET WELD A4 1.28
TOTAL AREA At 311.7532
AREA REINFORCEMENT & MAWP CALCULATIONNOZZLE RADIUS FOR FORCE CALCULATION
Rxn mm 338.2848tn/ In(1+tn/Rn)
SHELL RADIUS FOR FORCE CALCULATIONRxs mm 1786.338teff/ In(1+teff/Reff)
ALLOWABLE LOCAL PRIMARY MEMBRANE STRESSSallow Kgf/cm2 2109.211.5 x S x E
cm2
cm2
cm1
cm2
cm2
cm2
cm2
FORCE ACTING ON THE NOZZLEfn kgf 3786.677P x Rxn x LH
FORCE ACTING ON THE SHELLfs kgf 21966.45P x Rxs (LR + tn)
DISCONTINUITY FORCE FROM INTERNAL PRESSUREfy kgf 14620.32P x Rxs x Rnc/2
AREA RESISTING INTERNAL PRESSUREAp cm2 7206.971( fs + fy + fn )/ P
MAXIMUM ALLOWABLE WORKING PRESSURE CANDIDATE 1Pmax1 Kgf/cm2 64.17933Sallow/ ( 2 x Ap/At - Rxs/2 X teff )
MAXIMUM ALLOWABLE WORKING PRESSURE CANDIDATE 1Pmax1 Kgf/cm2 105.1652 X S/ (t / Rxs)
MAXIMUM ALLOWABLE WORKING PRESSURE CANDIDATE Pmax1 Kgf/cm2 64.17933
MIN(Pmax1,Pmax2)
NOZZLE PASS
STRESS CALCULATIONAVERAGE PRIMARY MEMBRANE STRESS σavg Kgf/cm2 129.5045( fs + fy + fn )/ At
GENERAL PRIMARY MEMBRANE STRESS σcirc Kgf/cm2 74.90319P x Rxs / (2 X teff)
LOCAL PRIMARY MEMBRANE STRESSPL Kgf/cm2 184.1059MAX(2 x σavg -σcirc , σcirc)
SUMMARY OS STRESS RESULTLOCAL PRIMARY MEMBRANE STRESS PL Kgf/cm2 184.1059ALLOWED LOCAL PRIMARY MEMBRANE STRESS Sallow Kgf/cm2 2109.21
STRESSES ARE UNDER PERMISIBLE LIMIT
STRENGTH OF NOZZLE ATTACHMENT WELDSDICONTINUITY FORCE FACTOR
Ky - 1.33128(Rn+tn) / Rnc
WELD LENGTH OF NOZZLE- 610.73π/2 x (Rn/tn)
WELD THROAT DIMENSION - mm 11.3136
WELD LOAD VALUEfwelds kgf 19463.74MIN(fy x ky , 1.5 x Sn x A2) , π x P x Rn^2 x ky^2)
Lζ
WELD STRESS VALUE ζ Kgf/cm2 0.698533
WELD STRENGTH IS OK
PREPARED BYVERIFIED BYDATE
1.060904 8275.052
0.087287