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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