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Stresses at the nozzle OD per WRC Bulletin 537
Figure Y A u Al Bu B l Cu C l Du Dl3C* N / (P / R m) 2.0855 0 0 0 0 -38.036 -38.036 -38.036 -38.036
4C* N / (P / R m) 3.9331 -71.783 -71.783 -71.783 -71.783 0 0 0 0
1C M / P 0.0635 0 0 0 0 -196.719 196.719 -196.719 196.719
2C-1 M / P 0.0343 -106.093 106.093 -106.093 106.093 0 0 0 0
3A* N / [Mc / (R m2*)] 1.3314 0 0 0 0 -84.86 -84.86 84.86 84.86
1A M / [Mc / (R m*)] 0.0753 0 0 0 0 -814.716 814.716 814.716 -814.716
3B* N / [ML / (R m2*)] 2.7909 -231.169 -231.169 231.169 231.169 0 0 0 0
1B-1 M / [ML / (R m*)] 0.0268 -376.423 376.423 376.423 -376.423 0 0 0 0
Pressure stress* 1,273.469 1,273.469 1,273.469 1 ,273.469 1 ,046 .659 1 ,046 .659 1 ,046 .659 1,046.659
Total circumferential stress 488 1,453.033 1,703.185 1,162.525 -87.673 1,935.197 1,711.481 475.486
Primary membrane circumferentialstress* 970.516 970.516 1,432.855 1,432.855 923.762 923.762 1,093.483 1,093.483
3C* Nx / (P / R m) 2.0855 -38.036 -38.036 -38.036 -38.036 0 0 0 0
4C* Nx / (P / R m) 3.9331 0 0 0 0 -71.783 -71.783 -71.783 -71.783
1C-1 M x / P 0.0658 -203.679 203.679 -203.679 203.679 0 0 0 0
2C M x / P 0.0345 0 0 0 0 -106.866 106.866 -106.866 106.866
4A* Nx / [Mc / (R m2*)] 2.4749 0 0 0 0 -157.698 -157.698 157.698 157.698
2A Mx / [Mc / (R m*)] 0.0376 0 0 0 0 -407.218 407.218 407.218 -407.218
4B* Nx / [ML / (R m2*)] 1.4543 -120.506 -120.506 120.506 120.506 0 0 0 0
2B-1 M x / [ML / (R m*)] 0.0437 -614.974 614.974 614.974 -614.974 0 0 0 0
Pressure stress* 523.365 523.365 523.365 523.365 636.77 636.77 636.77 636.77
Total longitudinal stress -453.831 1,183.476 1,017.13 194.539 -106.796 921.372 1,023.036 422.334
Primary membrane longitudinal stress* 364.823 364.823 605.835 605.835 407.288 407.288 722.685 722.685
Shear from M t 49.426 49.426 49.426 49.426 49.426 49.426 49.426 49.426
Circ shear from V c 16.171 16.171 -16.171 -16.171 0 0 0 0
Long shear from V L 0 0 0 0 -21.584 -21.584 21.584 21.584
Total Shear stress 65.596 65.596 33.255 33.255 27.842 27.842 71.01 71.01
Combined stress (P L+P b+Q) 950.901 1,468.149 1,704.802 1,163.65 -126.693 1,935.971 1,718.722 524.7
* denotes primary stress.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
n (Pm) = P*R i / (2*t n) - P r / (*(Ro2 - R i2)) + M*R o / I= 36.93*1.02*76.18 / (2*7.97) - 856.56 / ( *(84.15 2 - 76.18 2))*100 + 421,458*84.15 / 1.2937E+07*100= 432.728 kg f /cm 2
The average primary stress P m (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + externalloads is acceptable ( S = 1,407.207 kg
f /cm 2)
Shear stress in the nozzle wall due to external loads
shear = (V L2 + Vc2)0.5 / (*Ri*tn)*100= (856.56 2 + 642.42 2)0.5 / (*76.18*7.97)*100= 56.112 kg f /cm
2
torsion = M t / (2* *Ri2*tn)*100000= 385.5 / (2* *76.18 2*7.97)*100000= 132.583 kg f /cm 2
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total = shear + torsion= 56.112 + 132.583= 188.694 kg f /cm
2
UG-45: The total combined shear stress (188.694 kg f /cm 2) allowable (0.7*S n = 0.7*1,407.207 = 985.045 kg f /cm 2)
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Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary (cm 2)UG-45
Summary(mm)
For P = 45.41 bar @ 38 CThe opening is adequatel y reinforced
The nozzlepa sses UG-4 5
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
17.4431 24.509 5.7987 17.9 -- -- 0.8103 7.16 10.97
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(1)
UW-16 Weld Sizing S u mmary
Weld description Required weldthroat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for internal pressure 45.41 bar @ 38 C
Parallel Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(146.36, 73.18 + (25 - 0) + (15.88 - 0))= 146.36 mm
Outer Normal Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 0), 2.5*(25 - 0) + 0)= 39.7 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 45.4145*73.18 / (1,380*1 - 0.6*45.4145)= 2.46 mm
Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 45.4145*355 / (1,380*1 - 0.6*45.4145)= 11.92 mm
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Area required per UG-37(c)
Allowable stresses: S n = 1,407.207, S v = 1,407.207 kg f /cm 2
fr1 = lesser of 1 or S n / S v = 1
fr2 = lesser of 1 or S n / S v = 1
A = d*tr*F + 2*t n*tr*F*(1 - f r1)= (146.36*11.92*1 + 2*25*11.92*1*(1 - 1)) / 100= 17.4431 cm 2
Area available from FIG. UG-37.1
A1 = larger of the following= 5.7987 cm 2
= d*(E 1*t - F*tr) - 2*t n*(E1*t - F*tr)*(1 - f r1)= (146.36*(1*15.88 - 1*11.92) - 2*25*(1*15.88 - 1*11.92)*(1 - 1)) / 100= 5.7987 cm 2
= 2*(t + t n)*(E1*t - F*tr) - 2*t n*(E1*t - F*tr)*(1 - f r1)= (2*(15.88 + 25)*(1*15.88 - 1*11.9 2) - 2*25*(1*15.88 - 1*11.92)*(1 - 1)) / 100= 3.2393 cm 2
A2 = smaller of the following= 17.9 cm 2
= 5*(tn - t rn)*fr2*t= (5*(25 - 2.46)*1*15.88) / 100= 17.9 cm 2
= 5*(tn - t rn)*fr2*tn= (5*(25 - 2.46)*1*25) / 100= 28.1799 cm 2
A41 = Leg 2*fr2= (9 2*1) / 100= 0.8103 cm 2
Area = A 1 + A2 + A41= 5.7987 + 17.9 + 0.8103= 24.509 cm 2
As Area >= A the reinforcement is adequate.
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UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 15.88 mmtc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*73.18 / (1,380*1 - 0.6*45.4145) + 0= 2.46 mm
ta UG-22 = 2.5 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 2.46 , 2.5 ]= 2.5 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*355 / (1,380*1 - 0.6*45.4145) + 0= 11.92 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 11.92 , 1.5 ]= 11.92 mm
tb = min[ t b3 , t b1 ]= min[ 7.16 , 11.92 ]= 7.16 mm
tUG-45 = max[ t a , t b ]= max[ 2.5 , 7.16 ]= 7.16 mm
Available nozzle wall thickness new, t n = 10.97 mm
The nozzle neck thickness is adequate.
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Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary (cm 2)UG-45
Summary(mm)
For Pe = 16.01 bar @ 100 CThe opening is adequately reinforc ed
The nozzlepa sses UG-4 5
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
9.812 13.4303 -- 12.62 -- -- 0.8103 7.18 10.97
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing S u mmary
Weld description Required weldthroat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for external pressure 16.01 bar @ 100 C
Parallel Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(152.36, 76.18 + (25 - 3) + (15.88 - 3))= 152.36 mm
Outer Normal Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 3), 2.5*(25 - 3) + 0)= 32.2 mm
Nozzle required thickness per UG-28 t rn = 2.4 mm
From UG-37(d)(1) required thickness t r = 12.88 mm
Area required per UG-37(d)(1)
Allowable stresses: S n = 1,407.207, S v = 1,407.207 kg f /cm 2
fr1 = lesser of 1 or S n / S v = 1
fr2 = lesser of 1 or S n / S v = 1
A = 0.5*(d*t r*F + 2*t n*tr*F*(1 - fr1))
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= (0.5*(152.36*12.88*1 + 2*22*12.88*1*(1 - 1))) / 100= 9.812 cm 2
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm 2
= d*(E 1*t - F*tr) - 2*t n*(E1*t - F*tr)*(1 - f r1)= (152.36*(1*12.88 - 1*12.88) - 2*22*(1*12.88 - 1*12.88)*(1 - 1)) / 100= 0 cm 2
= 2*(t + t n)*(E1*t - F*tr) - 2*t n*(E1*t - F*tr)*(1 - f r1)= (2*(12.88 + 22)*(1*12.88 - 1*12.8 8) - 2 *22*(1*12.88 - 1*12.88)*(1 - 1)) / 100= 0 cm 2
A2 = smaller of the following= 12.62 cm 2
= 5*(tn - t rn)*fr2*t
= (5*(22 - 2.4)*1*12.88) / 100= 12.62 cm 2
= 5*(tn - t rn)*fr2*tn= (5*(22 - 2.4)*1*22) / 100= 21.5561 cm 2
A41 = Leg 2*fr2= (9 2*1) / 100= 0.8103 cm 2
Area = A 1 + A2 + A41= 0 + 12.62 + 0.8103= 13.4303 cm 2
As Area >= A the reinforcement is adequate.
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 12.88 mm
tc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
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UG-45 Nozzle Neck Thickness Check
ta UG-28 = 5.4 mm
ta UG-22 = 4.67 mm
ta = max[ t a UG-28 , t a UG-22 ]= max[ 5.4 , 4.67 ]
= 5.4 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion= 16.0096*358 / (1,380*1 - 0.6*16.0096) + 3= 7.18 mm
tb2 = max[ t b2 , t b UG16 ]= max[ 7.18 , 4.5 ]= 7.18 mm
tb = min[ t b3 , t b2 ]
= min[ 10.16 , 7.18 ]= 7.18 mm
tUG-45 = max[ t a , t b ]= max[ 5.4 , 7.18 ]= 7.18 mm
Available nozzle wall thickness new, t n = 10.97 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 100 C) UG-28(c)
L / Do = 213.23 / 196.36 = 1.0859Do / t = 196.36 / 2.4 = 81.6827From table G: A = 0.001680From table CS-2Metric: B = 1,000.1172 kg/cm
2 (980.78 bar)
P a = 4*B / (3*(D o / t))= 4*980.78 / (3*(196.36 / 2.4))= 16.01 bar
Design thickness for external pressure P a = 16.01 bar
ta = t + Corrosion = 2.4 + 3 = 5.4mm
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Drain (D)
ASME Section VIII Division 1, 2013 Edition Metric
Note: round inside edges per UG-76(c)
Location and Orientation
Located on Ellipsoidal Head #1
Orientation 0
End of nozzle to datum line -389.36 mm
Calculated as hillside No
Distance to head center, R 0 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 160 DN 50
Access opening No
Material specification SA-106 B Smls. Pipe (II-D Metric p. 14, ln. 19)
Inside diameter, new 42.85 mm
Nominal wall thickness 8.74 mm
Corrosion allowance 3 mm
Projection available outside vessel, Lpr 130.15 mm
Projection available outside vessel to flange face, Lf 200 mm
Local vessel minimum thickness 12.5 mm
Liquid static head included 0 bar
Longitudinal joint efficiency 1
Welds
Inner Fillet, Leg 41 9 mm
Nozzle to vessel groove weld 12.5 mm
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ASME B16.5-2009 Flange
Description NPS 2 Class 300 WN A105 N
Bolt Material SA-193 B7 Bolt
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Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 36.93 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 4.02 6.3 weld size is adequate
WRC 537
Load Case P(bar)P r
(kg f)M1
(kg f-m)V2
(kg f)M2
(kg f-m)V1
(kg f)Mt
(kg f-m)
MaxCombStress
(kg f/cm 2)
AllowCombStress
(kg f/cm 2)
MaxLocal
PrimaryStress
(kg f/cm 2)
AllowLocal
PrimaryStress
(kg f/cm 2)
Overstressed
Load case 1 36.93 285.52 28.6 214.14 37.1 285.52 42.8 2,140.915 4,221.622 1,372.602 2,110.811 No
Load case 1 (Hot ShutDown) 0 285.52 28.6 214.14 37.1 285.52 42.8 -1,147.971 4,221.622 -151.511 2,110.811 No
Calculations for internal pressure 36.93 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(48.85, 24.42 + (8.74 - 3) + (12.5 - 3))= 48.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(12.5 - 3), 2.5*(8.74 - 3) + 0)= 14.34 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 36.931*24.42 / (1,180*1 - 0.6*36.931)= 0.78 mm
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Required thickness t r from UG-37(a)(c)
tr = P*K1*D / (2*S*E - 0.2*P)= 36.931*0.8925*716 / (2*1,380*1 - 0.2*36.931)= 8.57 mm
Required thickness t r per Interpretation VIII-1-07-50
tr = P*D*K / (2*S*E - 0.2*P)= 36.93*716*0.988967 / (2*1,380*1 - 0.2*36.93)= 9.5 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 5.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 4.02 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 36.931*24.42 / (1,180*1 - 0.6*36.931) + 3= 3.78 mm
ta UG-22 = 4.39 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 3.78 , 4.39 ]= 4.39 mm
tb1 = 12.5 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 12.5 , 4.5 ]= 12.5 mm
tb = min[ t b3 , t b1 ]= min[ 6.42 , 12.5 ]= 6.42 mm
tUG-45 = max[ t a , t b ]
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= max[ 4.39 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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WRC 537 Load case 1
Applied Loads
Radial load, P r 285.52 kg f
Circumferential moment, M 1 28.6 kg f-m
Circumferential shear, V 2 214.14 kg f
Longitudinal moment, M 2 37.1 kg f-mLongitudinal shear, V 1 285.52 kg f
Torsion moment, M t 42.8 kg f-m
Internal pressure, P 36.93 bar
Mean dish radius, R m 649.94 mm
Local head thickness, T 9.5 mm
Design factor 3
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
= r m / t = 26.75 / 4.65 = 5.7575
= T / t = 9.5 / 4.65 = 2.045
U = r o / Sqr(R m*T) = 30.16 / Sqr(649.94*9.5) = 0.384
WRC 537 Nondimensional Coefficients
Y = (a + c*U + e*U 2 + g*U 3 + i*U4) / (1 + b*U + d*U 2 + f*U3 + h*U 4 + j*U5)
= 5 = 2
SP-3 SM-3
Mx My Nx Ny Mx My Nx Ny
a 0.3656 0.6924 194.6898 0.1169 3,575.8953 -1,612.8152 1.1658 -0.2512
b 20.761 41.4599 35,425.74 0.0485 18,337.83 -16,367.04 6.6119 -4.0064
c 2.1174 6.5648 6,712.6521 1.0834 -148,402.8 19,145.7 -1.8023 1.206
d 39.8904 56.9657 67,541.61 6.5638 -1,113,150 231,710.9 -7.5795 11.6011
e -1.5403 -10.362 -7,076.6023 -1.4491 1,808,340 174,103.8 0.7851 -0.9153
f 6.0842 50.3033 -38,750.21 -8.5622 1.9219E+07 969,880.3 -0.5602 -10.415
g 0.3004 5.2068 7,127.4907 0.6633 -121,264.6 74,723.92 0.0402 0.1529
h 0 -124.8434 52,813.19 4.7651 4,868,062 1,365,329 2.7493 3.6043
i 0 -0.8506 -976.6428 -0.1059 -427,941.1 -91,957.24 0 0
j 0 45.9146 0 -0.7887 8,286,525 1,729,110 0 0
Y 0.0637 0.0759 0.0938 0.2217 0.1781 0.2651 0.2416 0.1296
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WRC 537 Nondimensional Coefficients
Y = (a + c*U + e*U 2 + g*U 3 + i*U4) / (1 + b*U + d*U 2 + f*U3 + h*U 4 + j*U5)
= 5 = 4
SP-4 SM-4
Mx My Nx Ny Mx My Nx Ny
a 0.1955 0.7443 2.537 0.1606 -3.9242 12.6132 -0.9607 -6.9959
b 355.6102 7.533 1,071.7354 22.9473 -68.5346 29.9988 -43.2509 114.214
c 21.1677 -2.6223 127.4587 10.3372 228.2976 -129.5801 -7.5852 81.2222
d 1,539.5199 -7.6574 2,112.6475 -190.1285 9,214.6671 -214.241 8.1123 -726.9062
e -9.9855 9.5634 -131.0041 -76.2413 341.9835 558.1185 5.3251 -296.5262
f 356.7674 64.1716 -8,161.6149 517.979 12,323.9 595.3023 11.1703 1,724.0898
g 0 -5.6615 -54.494 186.8225 -372.3161 -319.0507 0 427.4096
h 0 62.296 7,160.3101 -483.8102 0 2,813.0991 0 -1,948.4552
i 0 0 102.0928 -102.4669 0 0 0 -195.9934
j 0 0 -1,577.3732 408.8865 0 0 0 1,040.0273Y 0.0178 0.1067 0.0774 0.3096 0.0557 0.3573 0.2241 0.2534
WRC 537 Nondimensional Coefficients
Y = (a + c*U + e*U 2 + g*U 3 + i*U4) / (1 + b*U + d*U 2 + f*U3 + h*U 4 + j*U5)
= 15 = 2
SP-6 SM-6
Mx My Nx Ny Mx My Nx Ny
a 0.4364 0.4568 0.5408 0.199 1.2527 1.9756 3.4348 -0.6545
b 23.8528 18.4406 86.1146 1.3701 -9.7364 -10.5872 32.542 2.3553c 3.1218 0.5744 10.6552 0.9562 42.3407 -7.1545 -9.1948 3.7495
d 57.2195 2.9177 210.1066 4.8904 581.7506 267.0319 0.2003 6.5143
e -1.23 0.2335 -2.8821 -0.1717 -11.5154 184.7135 14.4342 -2.6465
f -0.5058 37.5435 66.5636 -0.1752 -363.3128 406.7564 -130.0729 -5.4867
g 0.4263 0 1.9553 0 4.4567 337.601 1.057 0.5907
h 16.5587 0 0 0 555.7041 5,118.1159 350.2929 1.9002
i 0 0 0 0 0 -155.8292 0 0
j 0 0 0 0 0 2,619.7988 0 0
Y 0.0781 0.0669 0.0627 0.2417 0.2155 0.2192 0.1519 0.1651
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WRC 537 Nondimensional Coefficients
Y = (a + c*U + e*U 2 + g*U 3 + i*U4) / (1 + b*U + d*U 2 + f*U3 + h*U 4 + j*U5)
= 15 = 4
SP-7 SM-7
Mx My Nx Ny Mx My Nx Ny
a 0.1225 1.1858 0.152 0.2586 81,160.67 54.8627 -7,253,111,800 -2,889.5632
b 10.2618 30.9469 6.4077 2.6992 2,773,928 313.4235 2.0933E+11 44,457.77
c 0.0628 0.7386 -0.2621 2.1956 11,224.63 -805.6348 2.2821E+11 31,259.89
d 2.5604 -22.7834 -20.1141 10.0386 -888,508.9 -5,199.714 6.2796E+12 -175,466.5
e -9.8501E-04 0.8686 0.1324 0.3281 -4,806.5269 2,622.0799 1.5072E+12 -81,861.2
f 7.9918 86.4361 30.2989 -5.923 3,917,797 23,612.83 3.0942E+13 299,387.2
g 0 -0.3301 0.2529 -0.3719 0 4,442.2399 1.7691E+11 85,306.95
h 0 0 -12.616 4.2863 0 -21,199.17 3.2234E+12 -247,881.6
i 0 0 -0.0853 0 0 -1,946.6481 0 -22,718.26
j 0 0 1.8294 0 0 79,566.95 0 113,956.5Y 0.0254 0.1095 0.0427 0.3448 0.0733 0.3814 0.1158 0.3716
Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)
Local pressure stress = I*P*R i / (2*T) =1,278.742 kg f /cm 2
Maximum combined stress (PL+P
b+Q) = 2,140.92 kg f /cm 2
Allowable combined stress (PL+P
b+Q) = 3*S = 4,221.62 kg f /cm 2
The maximum combined stress (PL+P
b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,372.6 kg f /cm 2
Allowable local primary membrane stress (PL) = 1.5*S = 2,110.81 kg f /cm 2
The maximum local primary membrane stress (PL) is within allowable limits.
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Stresses at the nozzle OD per WRC Bulletin 537
Figure Y A u Al Bu B l Cu C l Du DlSP-1 to 10* N x*T / P 0.091 -28.826 -28.826 -28.826 -28.826 -28.826 -28.826 -28.826 -28.826
SP-1 to 10 M x / P 0.0638 -121.068 121.068 -121.068 121.068 -121.068 121.068 -121.068 121.068
SM-1 to 10* N x*T*(Rm*T)0.5 / M1 0.2344 0 0 0 0 -94.352 -94.352 94.352 94.352
SM-1 to 10 M x*(Rm*T)0.5 / M1 0.1782 0 0 0 0 -430.419 430.419 430.419 -430.419
SM-1 to 10* N x*T*(Rm*T)0.5 / M2 0.2344 -122.686 -122.686 122.686 122.686 0 0 0 0
SM-1 to 10 M x*(Rm*T)0.5 / M2 0.1782 -559.573 559.573 559.573 -559.573 0 0 0 0
Pressure stress* 1 ,278 .742 1 ,278 .742 1,278 .742 1,278.742 1,278.742 1,278.742 1,278.742 1,278.742
Total O x stress 446.589 1,807.872 1,811.106 934.097 604.077 1,707.052 1,653.618 1,034.918
Membrane O x stress* 1 ,127 .231 1 ,127 .231 1,372.602 1,372.602 1,155.564 1,155.564 1,344.268 1,344.268
SP-1 to 10* N y*T / P 0.2253 -71.291 -71.291 -71.291 -71.291 -71.291 -71.291 -71.291 -71.291
SP-1 to 10 M y / P 0.076 -144.199 144.199 -144.199 144.199 -144.199 144.199 -144.199 144.199
SM-1 to 10* N y*T*(Rm*T)0.5 / M1 0.1352 0 0 0 0 -54.418 -54.418 54.418 54.418
SM-1 to 10 M y*(Rm*T)0.5 / M1 0.2638 0 0 0 0 -637.191 637.191 637.191 -637.191
SM-1 to 10* N y*T*(Rm*T)0.5 / M2 0.1352 -70.729 -70.729 70.729 70.729 0 0 0 0
SM-1 to 10 M y*(Rm*T)0.5 / M2 0.2638 -828.356 828.356 828.356 -828.356 0 0 0 0
Pressure stress* 1 ,278 .742 1,278.742 1,278.742 1,278.742 1,278.742 1,278.742 1,278.742 1,278.742Total O y stress 164.167 2,109.277 1,962.336 594.023 371.642 1,934.424 1,754.86 768.876
Membrane O y stress* 1 ,136 .722 1,136.722 1,278.179 1,278.179 1,153.033 1,153.033 1,261.868 1,261.868
Shear from M t 78.884 78.884 78.884 78.884 78.884 78.884 78.884 78.884
Shear from V 1 0 0 0 0 -31.708 -31.708 31.708 31.708
Shear from V 2 23.764 23.764 -23.764 -23.764 0 0 0 0
Total Shear stress 102.648 102.648 55.121 55.121 47.176 47.176 110.593 110.593
Combined stress(P L+P b+Q)
479.985 2,140.915 1,980.264 942.816 613.287 1,943.845 1,825.87 1,074.852
(1) * denotes primary stress.(2) The nozzle is analyzed as a hollow attachment.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
n (Pm) = P*R i / (2*t n) - P r / (*(Ro2 - R i2)) + M*R o / I= 36.93*1.02*24.42 / (2*4.65) - 285.52 / ( *(30.16 2 - 24.42 2))*100 + 46,828.7*30.16 / 370,555.3*100= 451.158 kg f /cm 2
The average primary stress P m (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + externalloads is acceptable ( S = 1,203.264 kg f /cm 2)
Shear stress in the nozzle wall due to external loads
shear
= (V1
2 + V2
2)0.5 / (*Ri*t
n)*100
= (285.52 2 + 214.14 2)0.5 / (*24.42*5.74)*100= 81.062 kg f /cm 2
torsion = M t / (2* *Ri2*tn)*100000= 42.8 / (2* *24.42 2*5.74)*100000= 199.132 kg f /cm 2
total = shear + torsion= 81.062 + 199.132= 280.195 kg f /cm 2
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UG-45: The total combined shear stress (280.195 kg f /cm 2) allowable (0.7*S n = 0.7*1,203.264 = 842.285 kg f /cm 2)
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Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 45.41 bar @ 38 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing S u mmary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for internal pressure 45.41 bar @ 38 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(42.85, 21.42 + (8.74 - 0) + (12.5 - 0))= 42.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(12.5 - 0), 2.5*(8.74 - 0) + 0)= 21.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 45.4145*21.42 / (1,180*1 - 0.6*45.4145)= 0.84 mm
Required thickness t r from UG-37(a)(c)
tr = P*K1*D / (2*S*E - 0.2*P)= 45.4145*0.9*710 / (2*1,380*1 - 0.2*45.4145)= 10.55 mm
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Required thickness t r per Interpretation VIII-1-07-50
tr = P*D / (2*S*E - 0.2*P)= 45.41*710 / (2*1,380*1 - 0.2*45.41)= 11.72 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 8.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*21.42 / (1,180*1 - 0.6*45.4145) + 0= 0.84 mm
ta UG-22 = 1.75 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 0.84 , 1.75 ]= 1.75 mm
tb1 = 11.72 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 11.72 , 1.5 ]= 11.72 mm
tb = min[ t b3 , t b1 ]= min[ 3.42 , 11.72 ]= 3.42 mm
tUG-45 = max[ t a , t b ]= max[ 1.75 , 3.42 ]= 3.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For Pe = 14.98 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 7.65
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 4.02 6.3 weld size is adequate
Calculations for external pressure 14.98 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(48.85, 24.42 + (8.74 - 3) + (12.5 - 3))= 48.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(12.5 - 3), 2.5*(8.74 - 3) + 0)= 14.34 mm
Nozzle required thickness per UG-28 t rn = 0.93 mm
From UG-37(d)(1) required thickness t r = 9.5 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 5.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 4.02 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
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The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-28 = 3.93 mm
ta UG-22 = 4.28 mm
ta = max[ t a UG-28 , t a UG-22 ]= max[ 3.93 , 4.28 ]= 4.28 mm
tb2 = 6.85 mm
tb2 = max[ t b2 , t b UG16 ]= max[ 6.85 , 4.5 ]= 6.85 mm
tb = min[ t b3 , t b2 ]= min[ 6.42 , 6.85 ]= 6.42 mm
tUG-45 = max[ t a , t b ]= max[ 4.28 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 100 C) UG-28(c)
L / Do = 200 / 60.33 = 3.3154Do / t = 60.33 / 0.93 = 64.6270From table G: A = 0.000730From table CS-2Metric: B = 740.3326 kg/cm
2 (726.02 bar)
P a = 4*B / (3*(D o / t))= 4*726.02 / (3*(60.33 / 0.93))= 14.98 bar
Design thickness for external pressure P a = 14.98 bar
ta = t + Corrosion = 0.93 + 3 = 3.93mm
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Utility Connection (UC)
ASME Section VIII Division 1, 2013 Edition Metric
Note: round inside edges per UG-76(c)
Location and Orientation
Located on Cylinder #1
Orientation 0
Nozzle center line offset to datum line 150 mm
End of nozzle to shell center 570.88 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 160 DN 50
Access opening No
Material specification SA-106 B Smls. Pipe (II-D Metric p. 14, ln. 19)
Inside diameter, new 42.85 mm
Nominal wall thickness 8.74 mm
Corrosion allowance 3 mm
Projection available outside vessel, Lpr 130.15 mm
Projection available outside vessel to flange face, Lf 200 mm
Local vessel minimum thickness 15.88 mm
Liquid static head included 0 bar
Longitudinal joint efficiency 1
Welds
Inner Fillet, Leg 41 9 mm
Nozzle to vessel groove weld 15.88 mm
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ASME B16.5-2009 Flange
Description NPS 2 Class 300 WN A105 N
Bolt Material SA-193 B7 Bolt
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Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 36.93 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 4.02 6.3 weld size is adequate
WRC 537
Load Case P(bar)P r
(kg f)Mc
(kg f-m)Vc
(kg f)ML
(kg f-m)VL
(kg f)Mt
(kg f-m)
MaxCombStress
(kg f/cm 2)
AllowCombStress
(kg f/cm 2)
MaxLocal
PrimaryStress
(kg f/cm 2)
AllowLocal
PrimaryStress
(kg f/cm 2)
Overstressed
Load case 1 36.93 285.52 28.6 214.14 37.1 285.52 42.8 2,078.061 4,221.622 1,760.344 2,110.811 No
Load case 1 (Hot ShutDown) 0 285.52 28.6 214.14 37.1 285.52 42.8 -723.388 4,221.622 -90.626 2,110.811 No
Calculations for internal pressure 36.93 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(48.85, 24.42 + (8.74 - 3) + (15.88 - 3))= 48.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 3), 2.5*(8.74 - 3) + 0)= 14.34 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 36.9301*24.42 / (1,180*1 - 0.6*36.9301)= 0.78 mm
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Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 36.9301*358 / (1,380*1 - 0.6*36.9301)= 9.74 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 5.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 4.02 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 36.9301*24.42 / (1,180*1 - 0.6*36.9301) + 3= 3.78 mm
ta UG-22 = 4.39 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 3.78 , 4.39 ]= 4.39 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 36.9301*358 / (1,380*1 - 0.6*36.9301) + 3= 12.74 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 12.74 , 4.5 ]= 12.74 mm
tb = min[ t b3 , t b1 ]= min[ 6.42 , 12.74 ]= 6.42 mm
tUG-45 = max[ t a , t b ]= max[ 4.39 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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WRC 537 Load case 1
Applied Loads
Radial load, P r 285.52 kg f
Circumferential moment, M c 28.6 kg f-m
Circumferential shear, V c 214.14 kg f
Longitudinal moment, M L 37.1 kg f-mLongitudinal shear, V L 285.52 kg f
Torsion moment, M t 42.8 kg f-m
Internal pressure, P 36.93 bar
Mean shell radius, R m 364.44 mm
Local shell thickness, T 12.88 mm
Design factor 3
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
= R m / T = 364.44 / 12.88 = 28.2944
= 0.875*r o / R m = 0.875*30.16 / 364.44 = 0.0724
Pressure stress intensity factor, I = 1.6626 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*R i / T =1,740.166 kg f /cm 2
Local longitudinal pressure stress = I*P*R i / (2*T) =870.118 kg f /cm 2
Maximum combined stress (PL+P
b+Q) = 2,078.06 kg f /cm 2
Allowable combined stress (P L+P b+Q) = 3*S = 4,221.62 kg f /cm2
The maximum combined stress (PL+P
b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,760.34 kg f /cm 2
Allowable local primary membrane stress (PL) = 1.5*S = 2,110.81 kg f /cm 2
The maximum local primary membrane stress (PL) is within allowable limits.
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Stresses at the nozzle OD per WRC Bulletin 537
Figure Y A u Al Bu B l Cu C l Du Dl3C* N / (P / R m) 4.6944 0 0 0 0 -28.545 -28.545 -28.545 -28.545
4C* N / (P / R m) 5.7871 -35.224 -35.224 -35.224 -35.224 0 0 0 0
1C M / P 0.1703 0 0 0 0 -175.838 175.838 -175.838 175.838
2C-1 M / P 0.1344 -138.786 138.786 -138.786 138.786 0 0 0 0
3A* N / [Mc / (R m2*)] 0.6295 0 0 0 0 -14.483 -14.483 14.483 14.483
1A M / [Mc / (R m*)] 0.104 0 0 0 0 -407.007 407.007 407.007 -407.007
3B* N / [ML / (R m2*)] 1.8489 -55.402 -55.402 55.402 55.402 0 0 0 0
1B-1 M / [ML / (R m*)] 0.0558 -283.688 283.688 283.688 -283.688 0 0 0 0
Pressure stress* 1,740.166 1,740.166 1,740.166 1 ,740.166 1 ,046 .659 1 ,046 .659 1 ,046 .659 1,046.659
Total circumferential stress 1,227.066 2,072.015 1,905.247 1,615.442 420.787 1,586.475 1,263.767 801.428
Primary membrane circumferentialstress* 1,649.54 1,649.54 1,760.344 1,760.344 1,003.631 1,003.631 1,032.597 1,032.597
3C* Nx / (P / R m) 4.6944 -28.545 -28.545 -28.545 -28.545 0 0 0 0
4C* Nx / (P / R m) 5.7871 0 0 0 0 -35.224 -35.224 -35.224 -35.224
1C-1 M x / P 0.1731 -178.79 178.79 -178.79 178.79 0 0 0 0
2C M x / P 0.137 0 0 0 0 -141.457 141.457 -141.457 141.457
4A* Nx / [Mc / (R m2*)] 0.7782 0 0 0 0 -17.928 -17.928 17.928 17.928
2A Mx / [Mc / (R m*)] 0.0593 0 0 0 0 -232.083 232.083 232.083 -232.083
4B* Nx / [ML / (R m2*)] 0.6349 -19.053 -19.053 19.053 19.053 0 0 0 0
2B-1 M x / [ML / (R m*)] 0.0924 -469.72 469.72 469.72 -469.72 0 0 0 0
Pressure stress* 523.365 523.365 523.365 523.365 870.118 870.118 870.118 870.118
Total longitudinal stress -172.744 1,124.278 804.803 222.943 443.426 1,190.507 943.448 762.197
Primary membrane longitudinal stress* 475.767 475.767 513.873 513.873 816.966 816.966 852.823 852.823
Shear from M t 58.144 58.144 58.144 58.144 58.144 58.144 58.144 58.144
Circ shear from V c 17.577 17.577 -17.577 -17.577 0 0 0 0
Long shear from V L 0 0 0 0 -23.412 -23.412 23.412 23.412
Total Shear stress 75.721 75.721 40.567 40.567 34.732 34.732 81.556 81.556
Combined stress (P L+P b+Q) 1,407.966 2,078.061 1,906.723 1,616.637 468.666 1,589.498 1,283.312 865.689
* denotes primary stress.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
n (Pm) = P*R i / (2*t n) - P r / (*(Ro2 - R i2)) + M*R o / I= 36.93*1.02*24.42 / (2*4.65) - 285.52 / ( *(30.16 2 - 24.42 2))*100 + 46,828.7*30.16 / 370,555.3*100= 451.155 kg f /cm 2
The average primary stress P m (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + externalloads is acceptable ( S = 1,203.264 kg
f /cm 2)
Shear stress in the nozzle wall due to external loads
shear = (V L2 + Vc2)0.5 / (*Ri*tn)*100= (285.52 2 + 214.14 2)0.5 / (*24.42*5.74)*100= 81.062 kg f /cm
2
torsion = M t / (2* *Ri2*tn)*100000= 42.8 / (2* *24.42 2*5.74)*100000= 199.132 kg f /cm 2
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total = shear + torsion= 81.062 + 199.132= 280.195 kg f /cm
2
UG-45: The total combined shear stress (280.195 kg f /cm 2) allowable (0.7*S n = 0.7*1,203.264 = 842.285 kg f /cm 2)
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Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 45.41 bar @ 38 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing S u mmary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for internal pressure 45.41 bar @ 38 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(42.85, 21.42 + (8.74 - 0) + (15.88 - 0))= 46.04 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 0), 2.5*(8.74 - 0) + 0)= 21.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 45.4145*21.42 / (1,180*1 - 0.6*45.4145)= 0.84 mm
Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 45.4145*355 / (1,380*1 - 0.6*45.4145)= 11.92 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
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UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 8.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*21.42 / (1,180*1 - 0.6*45.4145) + 0= 0.84 mm
ta UG-22 = 1.75 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 0.84 , 1.75 ]= 1.75 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*355 / (1,380*1 - 0.6*45.4145) + 0= 11.92 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 11.92 , 1.5 ]= 11.92 mm
tb = min[ t b3 , t b1 ]= min[ 3.42 , 11.92 ]= 3.42 mm
tUG-45 = max[ t a , t b ]= max[ 1.75 , 3.42 ]= 3.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For Pe = 16.01 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 7.65
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 4.02 6.3 weld size is adequate
Calculations for external pressure 16.01 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(48.85, 24.42 + (8.74 - 3) + (15.88 - 3))= 48.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 3), 2.5*(8.74 - 3) + 0)= 14.34 mm
Nozzle required thickness per UG-28 t rn = 0.97 mm
From UG-37(d)(1) required thickness t r = 12.88 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 5.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 4.02 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
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The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-28 = 3.97 mm
ta UG-22 = 4.3 mm
ta = max[ t a UG-28 , t a UG-22 ]= max[ 3.97 , 4.3 ]= 4.3 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion= 16.0096*358 / (1,380*1 - 0.6*16.0096) + 3= 7.18 mm
tb2 = max[ t b2 , t b UG16 ]= max[ 7.18 , 4.5 ]= 7.18 mm
tb = min[ t b3 , t b2 ]= min[ 6.42 , 7.18 ]= 6.42 mm
tUG-45 = max[ t a , t b ]= max[ 4.3 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 100 C) UG-28(c)
L / Do = 201.23 / 60.33 = 3.3357Do / t = 60.33 / 0.97 = 62.4862From table G: A = 0.000754From table CS-2Metric: B = 765.0605 kg/cm
2 (750.27 bar)
P a = 4*B / (3*(D o / t))= 4*750.27 / (3*(60.33 / 0.97))= 16.01 bar
Design thickness for external pressure P a = 16.01 bar
ta = t + Corrosion = 0.97 + 3 = 3.97mm
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Vent (V)
ASME Section VIII Division 1, 2013 Edition Metric
Note: round inside edges per UG-76(c)
Location and Orientation
Located on Blind Flange M1
Orientation 0
Distance to head center, R 250 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 160 DN 50
Access opening No
Material specification SA-106 B Smls. Pipe (II-D Metric p. 14, ln. 19)
Inside diameter, new 42.85 mm
Nominal wall thickness 8.74 mm
Corrosion allowance 0 mm
Projection available outside vessel, Lpr 130.15 mm
Projection available outside vessel to flange face, Lf 200 mm
Local vessel minimum thickness 92 mm
Liquid static head included 0 bar
Longitudinal joint efficiency 1
Welds
Inner Fillet, Leg 41 9 mm
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ASME B16.5-2009 Flange
Description NPS 2 Class 300 WN A105 N
Bolt Material SA-193 B7 Bolt
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Reinforcement Calculations for Chamber MAWP
UG-39 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 36.93 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing S u mmary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for internal pressure 36.93 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(42.85, 21.42 + (8.74 - 0) + (92 - 0))= 122.16 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(92 - 0), 2.5*(8.74 - 0) + 0)= 21.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 36.9286*21.42 / (1,180*1 - 0.6*36.9286)= 0.68 mm
Required thickness t r from UG-34
The static head of liquid has not been included in the total design load because the vessel is supported below theflange.
W = 0.785*G 2*P + 2*b*3.14*G*m*P= 0.785*764.19 2*37.657/100 + 2*7.9*3.14*764.19*3*37.657/10037.657/100= 215,484.49 kg f
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tr = d*Sqr(C*P / (S*E) + 1.9*W*h g / (S*E*d 3))
= 764.19*Sqr(0.3*36.9286 / (1,380*1) + 1.9*215,484.49*52.9 / (1,407.207 / 100*1*764.19 3))= 81.87 mm
Gasket seatingtr = d*Sqr(1.9*W*h G / (S*E*d 3))
= 764.19*Sqr(1.9*265,000.87*52.9 / (1,407.207 / 100*1*764.19 3))
= 49.77 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 8.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (a).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 36.9286*21.42 / (1,180*1 - 0.6*36.9286) + 0= 0.68 mm
ta
= max[ ta UG-27
, ta UG-22
]= max[ 0.68 , 0 ]= 0.68 mm
tb1 = 81.87 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 81.87 , 1.5 ]= 81.87 mm
tb = min[ t b3 , t b1 ]= min[ 3.42 , 81.87 ]= 3.42 mm
tUG-45 = max[ t a , t b ]= max[ 0.68 , 3.42 ]= 3.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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Reinforcement Calculations for Chamber MAP
UG-39 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 45.41 bar @ 38 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing S u mmary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for internal pressure 45.41 bar @ 38 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(42.85, 21.42 + (8.74 - 0) + (92 - 0))= 122.16 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(92 - 0), 2.5*(8.74 - 0) + 0)= 21.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 45.4145*21.42 / (1,180*1 - 0.6*45.4145)= 0.84 mm
Required thickness t r from UG-34
The static head of liquid has not been included in the total design load because the vessel is supported below theflange.
W = 0.785*G 2*P + 2*b*3.14*G*m*P= 0.785*764.19 2*46.31/100 + 2*7.9*3.14*764.19*3*46.31/10046.31/100= 265,000.93 kg f
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tr = d*Sqr(C*P / (S*E) + 1.9*W*h g / (S*E*d 3))
= 764.19*Sqr(0.3*45.4145 / (1,380*1) + 1.9*265,000.93*52.9 / (1,407.207 / 100*1*764.19 3))= 90.79 mm
Gasket seatingtr = d*Sqr(1.9*W*h G / (S*E*d 3))
= 764.19*Sqr(1.9*265,000.87*52.9 / (1,407.207 / 100*1*764.19 3))
= 49.77 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 8.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (a).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*21.42 / (1,180*1 - 0.6*45.4145) + 0= 0.84 mm
ta
= max[ ta UG-27
, ta UG-22
]= max[ 0.84 , 0 ]= 0.84 mm
tb1 = 90.79 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 90.79 , 1.5 ]= 90.79 mm
tb = min[ t b3 , t b1 ]= min[ 3.42 , 90.79 ]= 3.42 mm
tUG-45 = max[ t a , t b ]= max[ 0.84 , 3.42 ]= 3.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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Reinforcement Calculations for MAEP
UG-39 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For Pe = 66.67 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.42 7.65
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing S u mmary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for external pressure 66.67 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(42.85, 21.42 + (8.74 - 0) + (92 - 0))= 122.16 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(92 - 0), 2.5*(8.74 - 0) + 0)= 21.84 mm
Nozzle required thickness per UG-28 t rn = 2.65 mm
From UG-34 required thickness t r = 92 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 8.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
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The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (a).
UG-45 Nozzle Neck Thickness Check
ta UG-28 = 2.65 mm
ta = max[ t a UG-28 , t a UG-22 ]= max[ 2.65 , 0 ]= 2.65 mm
tb2 = 92 mm
tb2 = max[ t b2 , t b UG16 ]= max[ 92 , 1.5 ]= 92 mm
tb = min[ t b3 , t b2 ]= min[ 3.42 , 92 ]= 3.42 mm
tUG-45 = max[ t a , t b ]= max[ 2.65 , 3.42 ]= 3.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 100 C) UG-28(c)
L / Do = 200 / 60.33 = 3.3154Do / t = 60.33 / 2.65 = 22.7250From table G: A = 0.003377From table CS-2Metric: B = 1,158.7021 kg/cm
2 (1,136.3 bar)
P a = 4*B / (3*(D o / t))= 4*1,136.3 / (3*(60.33 / 2.65))= 66.67 bar
Design thickness for external pressure P a = 66.67 bar
ta = t + Corrosion = 2.65 + 0 = 2.65mm
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Level Transmitter (L1)
ASME Section VIII Division 1, 2013 Edition Metric
Note: round inside edges per UG-76(c)
Location and Orientation
Located on Cylinder #1
Orientation 90
Nozzle center line offset to datum line 1,150 mm
End of nozzle to shell center 570.88 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 160 DN 50
Access opening No
Material specification SA-106 B Smls. Pipe (II-D Metric p. 14, ln. 19)
Inside diameter, new 42.85 mm
Nominal wall thickness 8.74 mm
Corrosion allowance 3 mm
Projection available outside vessel, Lpr 130.15 mm
Projection available outside vessel to flange face, Lf 200 mm
Local vessel minimum thickness 15.88 mm
Liquid static head included 0 bar
Longitudinal joint efficiency 1
Welds
Inner Fillet, Leg 41 9 mm
Nozzle to vessel groove weld 15.88 mm
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ASME B16.5-2009 Flange
Description NPS 2 Class 300 WN A105 N
Bolt Material SA-193 B7 Bolt
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Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 36.93 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 4.02 6.3 weld size is adequate
WRC 537
Load Case P(bar)P r
(kg f)Mc
(kg f-m)Vc
(kg f)ML
(kg f-m)VL
(kg f)Mt
(kg f-m)
MaxCombStress
(kg f/cm 2)
AllowCombStress
(kg f/cm 2)
MaxLocal
PrimaryStress
(kg f/cm 2)
AllowLocal
PrimaryStress
(kg f/cm 2)
Overstressed
Load case 1 36.93 285.5 28.6 214.1 37.1 285.5 42.8 2,077.85 4,221.622 1,760.344 2,110.811 No
Load case 1 (Hot Shut Down) 0 285.5 28.6 214.1 37.1 285.5 42.8 -723.036 4,221.622 -90.626 2,110.811 No
Calculations for internal pressure 36.93 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(48.85, 24.42 + (8.74 - 3) + (15.88 - 3))= 48.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e )
= MIN(2.5*(15.88 - 3), 2.5*(8.74 - 3) + 0)= 14.34 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 36.9286*24.42 / (1,180*1 - 0.6*36.9286)= 0.78 mm
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Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 36.9286*358 / (1,380*1 - 0.6*36.9286)= 9.74 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 5.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 4.02 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 36.9286*24.42 / (1,180*1 - 0.6*36.9286) + 3= 3.78 mm
ta UG-22 = 4.39 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 3.78 , 4.39 ]= 4.39 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 36.9286*358 / (1,380*1 - 0.6*36.9286) + 3= 12.74 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 12.74 , 4.5 ]= 12.74 mm
tb = min[ t b3 , t b1 ]= min[ 6.42 , 12.74 ]= 6.42 mm
tUG-45 = max[ t a , t b ]= max[ 4.39 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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WRC 537 Load case 1
Applied Loads
Radial load, P r 285.5 kg f
Circumferential moment, M c 28.6 kg f-m
Circumferential shear, V c 214.1 kg f
Longitudinal moment, M L 37.1 kg f-mLongitudinal shear, V L 285.5 kg f
Torsion moment, M t 42.8 kg f-m
Internal pressure, P 36.93 bar
Mean shell radius, R m 364.44 mm
Local shell thickness, T 12.88 mm
Design factor 3
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
= R m / T = 364.44 / 12.88 = 28.2944
= 0.875*r o / R m = 0.875*30.16 / 364.44 = 0.0724
Pressure stress intensity factor, I = 1.6626 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*R i / T =1,740.166 kg f /cm 2
Local longitudinal pressure stress = I*P*R i / (2*T) =870.118 kg f /cm 2
Maximum combined stress (PL+P
b+Q) = 2,077.85 kg f /cm 2
Allowable combined stress (P L+P b+Q) = 3*S = 4,221.62 kg f /cm2
The maximum combined stress (PL+P
b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,760.34 kg f /cm 2
Allowable local primary membrane stress (PL) = 1.5*S = 2,110.81 kg f /cm 2
The maximum local primary membrane stress (PL) is within allowable limits.
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Stresses at the nozzle OD per WRC Bulletin 537
Figure Y A u Al Bu B l Cu C l Du Dl3C* N / (P / R m) 4.6944 0 0 0 0 -28.545 -28.545 -28.545 -28.545
4C* N / (P / R m) 5.7871 -35.224 -35.224 -35.224 -35.224 0 0 0 0
1C M / P 0.1703 0 0 0 0 -175.838 175.838 -175.838 175.838
2C-1 M / P 0.1344 -138.786 138.786 -138.786 138.786 0 0 0 0
3A* N / [Mc / (R m2*)] 0.6295 0 0 0 0 -14.554 -14.554 14.554 14.554
1A M / [Mc / (R m*)] 0.104 0 0 0 0 -407.71 407.71 407.71 -407.71
3B* N / [ML / (R m2*)] 1.8489 -55.402 -55.402 55.402 55.402 0 0 0 0
1B-1 M / [ML / (R m*)] 0.0558 -283.548 283.548 283.548 -283.548 0 0 0 0
Pressure stress* 1,740.166 1,740.166 1,740.166 1 ,740.166 1 ,046 .659 1 ,046 .659 1 ,046 .659 1,046.659
Total circumferential stress 1,227.207 2,071.874 1,905.106 1,615.582 420.013 1,587.108 1,264.54 800.796
Primary membrane circumferentialstress* 1,649.54 1,649.54 1,760.344 1,760.344 1,003.561 1,003.561 1,032.668 1,032.668
3C* Nx / (P / R m) 4.6944 -28.545 -28.545 -28.545 -28.545 0 0 0 0
4C* Nx / (P / R m) 5.7871 0 0 0 0 -35.224 -35.224 -35.224 -35.224
1C-1 M x / P 0.1731 -178.72 178.72 -178.72 178.72 0 0 0 0
2C M x / P 0.137 0 0 0 0 -141.457 141.457 -141.457 141.457
4A* Nx / [Mc / (R m2*)] 0.7782 0 0 0 0 -17.999 -17.999 17.999 17.999
2A Mx / [Mc / (R m*)] 0.0593 0 0 0 0 -232.435 232.435 232.435 -232.435
4B* Nx / [ML / (R m2*)] 0.6349 -18.983 -18.983 18.983 18.983 0 0 0 0
2B-1 M x / [ML / (R m*)] 0.0924 -469.509 469.509 469.509 -469.509 0 0 0 0
Pressure stress* 523.365 523.365 523.365 523.365 870.118 870.118 870.118 870.118
Total longitudinal stress -172.393 1,124.067 804.592 223.013 443.004 1,190.788 943.87 761.916
Primary membrane longitudinal stress* 475.837 475.837 513.803 513.803 816.896 816.896 852.893 852.893
Shear from M t 58.144 58.144 58.144 58.144 58.144 58.144 58.144 58.144
Circ shear from V c 17.577 17.577 -17.577 -17.577 0 0 0 0
Long shear from V L 0 0 0 0 -23.412 -23.412 23.412 23.412
Total Shear stress 75.721 75.721 40.567 40.567 34.732 34.732 81.556 81.556
Combined stress (P L+P b+Q) 1,407.755 2,077.85 1,906.583 1,616.777 468.103 1,590.131 1,284.085 865.197
* denotes primary stress.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
n (Pm) = P*R i / (2*t n) - P r / (*(Ro2 - R i2)) + M*R o / I= 36.93*1.02*24.42 / (2*4.65) - 285.5 / ( *(30.16 2 - 24.42 2))*100 + 46,843.9*30.16 / 370,555.3*100= 451.278 kg f /cm 2
The average primary stress P m (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + externalloads is acceptable ( S = 1,203.264 kg
f /cm 2)
Shear stress in the nozzle wall due to external loads
shear = (V L2 + Vc2)0.5 / (*Ri*tn)*100= (285.5 2 + 214.1 2)0.5 / (*24.42*5.74)*100= 81.053 kg f /cm
2
torsion = M t / (2* *Ri2*tn)*100000= 42.8 / (2* *24.42 2*5.74)*100000= 199.002 kg f /cm 2
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total = shear + torsion= 81.053 + 199.002= 280.055 kg f /cm
2
UG-45: The total combined shear stress (280.055 kg f /cm 2) allowable (0.7*S n = 0.7*1,203.264 = 842.285 kg f /cm 2)
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Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 45.41 bar @ 38 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing S u mmary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for internal pressure 45.41 bar @ 38 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(42.85, 21.42 + (8.74 - 0) + (15.88 - 0))= 46.04 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 0), 2.5*(8.74 - 0) + 0)= 21.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 45.4145*21.42 / (1,180*1 - 0.6*45.4145)= 0.84 mm
Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 45.4145*355 / (1,380*1 - 0.6*45.4145)= 11.92 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
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UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 8.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*21.42 / (1,180*1 - 0.6*45.4145) + 0= 0.84 mm
ta UG-22 = 1.75 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 0.84 , 1.75 ]= 1.75 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*355 / (1,380*1 - 0.6*45.4145) + 0= 11.92 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 11.92 , 1.5 ]= 11.92 mm
tb = min[ t b3 , t b1 ]= min[ 3.42 , 11.92 ]= 3.42 mm
tUG-45 = max[ t a , t b ]= max[ 1.75 , 3.42 ]= 3.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For Pe = 16.01 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 7.65
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 4.02 6.3 weld size is adequate
Calculations for external pressure 16.01 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(48.85, 24.42 + (8.74 - 3) + (15.88 - 3))= 48.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 3), 2.5*(8.74 - 3) + 0)= 14.34 mm
Nozzle required thickness per UG-28 t rn = 0.97 mm
From UG-37(d)(1) required thickness t r = 12.88 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 5.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 4.02 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
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The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-28 = 3.97 mm
ta UG-22 = 4.3 mm
ta = max[ t a UG-28 , t a UG-22 ]= max[ 3.97 , 4.3 ]= 4.3 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion= 16.0096*358 / (1,380*1 - 0.6*16.0096) + 3= 7.18 mm
tb2 = max[ t b2 , t b UG16 ]= max[ 7.18 , 4.5 ]= 7.18 mm
tb = min[ t b3 , t b2 ]= min[ 6.42 , 7.18 ]= 6.42 mm
tUG-45 = max[ t a , t b ]= max[ 4.3 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 100 C) UG-28(c)
L / Do = 201.23 / 60.33 = 3.3357Do / t = 60.33 / 0.97 = 62.4862From table G: A = 0.000754From table CS-2Metric: B = 765.0605 kg/cm
2 (750.27 bar)
P a = 4*B / (3*(D o / t))= 4*750.27 / (3*(60.33 / 0.97))= 16.01 bar
Design thickness for external pressure P a = 16.01 bar
ta = t + Corrosion = 0.97 + 3 = 3.97mm
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Level Transmitter (L2)
ASME Section VIII Division 1, 2013 Edition Metric
Note: round inside edges per UG-76(c)
Location and Orientation
Located on Cylinder #1
Orientation 90
Nozzle center line offset to datum line 150 mm
End of nozzle to shell center 570.88 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 160 DN 50
Access opening No
Material specification SA-106 B Smls. Pipe (II-D Metric p. 14, ln. 19)
Inside diameter, new 42.85 mm
Nominal wall thickness 8.74 mm
Corrosion allowance 3 mm
Projection available outside vessel, Lpr 130.15 mm
Projection available outside vessel to flange face, Lf 200 mm
Local vessel minimum thickness 15.88 mm
Liquid static head included 0 bar
Longitudinal joint efficiency 1
Welds
Inner Fillet, Leg 41 9 mm
Nozzle to vessel groove weld 15.88 mm
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ASME B16.5-2009 Flange
Description NPS 2 Class 300 WN A105 N
Bolt Material SA-193 B7 Bolt
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Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 36.93 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 4.02 6.3 weld size is adequate
WRC 537
Load Case P(bar)P r
(kg f)Mc
(kg f-m)Vc
(kg f)ML
(kg f-m)VL
(kg f)Mt
(kg f-m)
MaxCombStress
(kg f/cm 2)
AllowCombStress
(kg f/cm 2)
MaxLocal
PrimaryStress
(kg f/cm 2)
AllowLocal
PrimaryStress
(kg f/cm 2)
Overstressed
Load case 1 36.93 285.52 28.6 214.14 37.1 285.52 42.8 2,078.061 4,221.622 1,760.344 2,110.811 No
Load case 1 (Hot ShutDown) 0 285.52 28.6 214.14 37.1 285.52 42.8 -723.388 4,221.622 -90.626 2,110.811 No
Calculations for internal pressure 36.93 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(48.85, 24.42 + (8.74 - 3) + (15.88 - 3))= 48.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 3), 2.5*(8.74 - 3) + 0)= 14.34 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 36.9301*24.42 / (1,180*1 - 0.6*36.9301)= 0.78 mm
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Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 36.9301*358 / (1,380*1 - 0.6*36.9301)= 9.74 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 5.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 4.02 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 36.9301*24.42 / (1,180*1 - 0.6*36.9301) + 3= 3.78 mm
ta UG-22 = 4.39 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 3.78 , 4.39 ]= 4.39 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 36.9301*358 / (1,380*1 - 0.6*36.9301) + 3= 12.74 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 12.74 , 4.5 ]= 12.74 mm
tb = min[ t b3 , t b1 ]= min[ 6.42 , 12.74 ]= 6.42 mm
tUG-45 = max[ t a , t b ]= max[ 4.39 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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WRC 537 Load case 1
Applied Loads
Radial load, P r 285.52 kg f
Circumferential moment, M c 28.6 kg f-m
Circumferential shear, V c 214.14 kg f
Longitudinal moment, M L 37.1 kg f-mLongitudinal shear, V L 285.52 kg f
Torsion moment, M t 42.8 kg f-m
Internal pressure, P 36.93 bar
Mean shell radius, R m 364.44 mm
Local shell thickness, T 12.88 mm
Design factor 3
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
= R m / T = 364.44 / 12.88 = 28.2944
= 0.875*r o / R m = 0.875*30.16 / 364.44 = 0.0724
Pressure stress intensity factor, I = 1.6626 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*R i / T =1,740.166 kg f /cm 2
Local longitudinal pressure stress = I*P*R i / (2*T) =870.118 kg f /cm 2
Maximum combined stress (PL+P
b+Q) = 2,078.06 kg f /cm 2
Allowable combined stress (P L+P b+Q) = 3*S = 4,221.62 kg f /cm2
The maximum combined stress (PL+P
b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,760.34 kg f /cm 2
Allowable local primary membrane stress (PL) = 1.5*S = 2,110.81 kg f /cm 2
The maximum local primary membrane stress (PL) is within allowable limits.
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Stresses at the nozzle OD per WRC Bulletin 537
Figure Y A u Al Bu B l Cu C l Du Dl3C* N / (P / R m) 4.6944 0 0 0 0 -28.545 -28.545 -28.545 -28.545
4C* N / (P / R m) 5.7871 -35.224 -35.224 -35.224 -35.224 0 0 0 0
1C M / P 0.1703 0 0 0 0 -175.838 175.838 -175.838 175.838
2C-1 M / P 0.1344 -138.786 138.786 -138.786 138.786 0 0 0 0
3A* N / [Mc / (R m2*)] 0.6295 0 0 0 0 -14.483 -14.483 14.483 14.483
1A M / [Mc / (R m*)] 0.104 0 0 0 0 -407.007 407.007 407.007 -407.007
3B* N / [ML / (R m2*)] 1.8489 -55.402 -55.402 55.402 55.402 0 0 0 0
1B-1 M / [ML / (R m*)] 0.0558 -283.688 283.688 283.688 -283.688 0 0 0 0
Pressure stress* 1,740.166 1,740.166 1,740.166 1 ,740.166 1 ,046 .659 1 ,046 .659 1 ,046 .659 1,046.659
Total circumferential stress 1,227.066 2,072.015 1,905.247 1,615.442 420.787 1,586.475 1,263.767 801.428
Primary membrane circumferentialstress* 1,649.54 1,649.54 1,760.344 1,760.344 1,003.631 1,003.631 1,032.597 1,032.597
3C* Nx / (P / R m) 4.6944 -28.545 -28.545 -28.545 -28.545 0 0 0 0
4C* Nx / (P / R m) 5.7871 0 0 0 0 -35.224 -35.224 -35.224 -35.224
1C-1 M x / P 0.1731 -178.79 178.79 -178.79 178.79 0 0 0 0
2C M x / P 0.137 0 0 0 0 -141.457 141.457 -141.457 141.457
4A* Nx / [Mc / (R m2*)] 0.7782 0 0 0 0 -17.928 -17.928 17.928 17.928
2A Mx / [Mc / (R m*)] 0.0593 0 0 0 0 -232.083 232.083 232.083 -232.083
4B* Nx / [ML / (R m2*)] 0.6349 -19.053 -19.053 19.053 19.053 0 0 0 0
2B-1 M x / [ML / (R m*)] 0.0924 -469.72 469.72 469.72 -469.72 0 0 0 0
Pressure stress* 523.365 523.365 523.365 523.365 870.118 870.118 870.118 870.118
Total longitudinal stress -172.744 1,124.278 804.803 222.943 443.426 1,190.507 943.448 762.197
Primary membrane longitudinal stress* 475.767 475.767 513.873 513.873 816.966 816.966 852.823 852.823
Shear from M t 58.144 58.144 58.144 58.144 58.144 58.144 58.144 58.144
Circ shear from V c 17.577 17.577 -17.577 -17.577 0 0 0 0
Long shear from V L 0 0 0 0 -23.412 -23.412 23.412 23.412
Total Shear stress 75.721 75.721 40.567 40.567 34.732 34.732 81.556 81.556
Combined stress (P L+P b+Q) 1,407.966 2,078.061 1,906.723 1,616.637 468.666 1,589.498 1,283.312 865.689
* denotes primary stress.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
n (Pm) = P*R i / (2*t n) - P r / (*(Ro2 - R i2)) + M*R o / I= 36.93*1.02*24.42 / (2*4.65) - 285.52 / ( *(30.16 2 - 24.42 2))*100 + 46,828.7*30.16 / 370,555.3*100= 451.155 kg f /cm 2
The average primary stress P m (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + externalloads is acceptable ( S = 1,203.264 kg
f /cm 2)
Shear stress in the nozzle wall due to external loads
shear = (V L2 + Vc2)0.5 / (*Ri*tn)*100= (285.52 2 + 214.14 2)0.5 / (*24.42*5.74)*100= 81.062 kg f /cm
2
torsion = M t / (2* *Ri2*tn)*100000= 42.8 / (2* *24.42 2*5.74)*100000= 199.132 kg f /cm 2
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total = shear + torsion= 81.062 + 199.132= 280.195 kg f /cm
2
UG-45: The total combined shear stress (280.195 kg f /cm 2) allowable (0.7*S n = 0.7*1,203.264 = 842.285 kg f /cm 2)
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Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 45.41 bar @ 38 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing S u mmary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 6 6.3 weld size is adequate
Calculations for internal pressure 45.41 bar @ 38 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(42.85, 21.42 + (8.74 - 0) + (15.88 - 0))= 46.04 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 0), 2.5*(8.74 - 0) + 0)= 21.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 45.4145*21.42 / (1,180*1 - 0.6*45.4145)= 0.84 mm
Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 45.4145*355 / (1,380*1 - 0.6*45.4145)= 11.92 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
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UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 8.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 6 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*21.42 / (1,180*1 - 0.6*45.4145) + 0= 0.84 mm
ta UG-22 = 1.75 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 0.84 , 1.75 ]= 1.75 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 45.4145*355 / (1,380*1 - 0.6*45.4145) + 0= 11.92 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 11.92 , 1.5 ]= 11.92 mm
tb = min[ t b3 , t b1 ]= min[ 3.42 , 11.92 ]= 3.42 mm
tUG-45 = max[ t a , t b ]= max[ 1.75 , 3.42 ]= 3.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
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Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For Pe = 16.01 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 7.65
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 4.02 6.3 weld size is adequate
Calculations for external pressure 16.01 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(48.85, 24.42 + (8.74 - 3) + (15.88 - 3))= 48.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 3), 2.5*(8.74 - 3) + 0)= 14.34 mm
Nozzle required thickness per UG-28 t rn = 0.97 mm
From UG-37(d)(1) required thickness t r = 12.88 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 5.74 mmtc(min) = lesser of 6 mm or 0.7*t min = 4.02 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
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The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-28 = 3.97 mm
ta UG-22 = 4.3 mm
ta = max[ t a UG-28 , t a UG-22 ]= max[ 3.97 , 4.3 ]= 4.3 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion= 16.0096*358 / (1,380*1 - 0.6*16.0096) + 3= 7.18 mm
tb2 = max[ t b2 , t b UG16 ]= max[ 7.18 , 4.5 ]= 7.18 mm
tb = min[ t b3 , t b2 ]= min[ 6.42 , 7.18 ]= 6.42 mm
tUG-45 = max[ t a , t b ]= max[ 4.3 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 100 C) UG-28(c)
L / Do = 201.23 / 60.33 = 3.3357Do / t = 60.33 / 0.97 = 62.4862From table G: A = 0.000754From table CS-2Metric: B = 765.0605 kg/cm
2 (750.27 bar)
P a = 4*B / (3*(D o / t))= 4*750.27 / (3*(60.33 / 0.97))= 16.01 bar
Design thickness for external pressure P a = 16.01 bar
ta = t + Corrosion = 0.97 + 3 = 3.97mm
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Level Transmitter L/H (L3)
ASME Section VIII Division 1, 2013 Edition Metric
Note: round inside edges per UG-76(c)
Location and Orientation
Located on Cylinder #1
Orientation 225
Nozzle center line offset to datum line 1,150 mm
End of nozzle to shell center 570.88 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 XXS DN 50
Access opening No
Material specification SA-106 B Smls. Pipe (II-D Metric p. 14, ln. 19)
Inside diameter, new 38.18 mm
Nominal wall thickness 11.07 mm
Corrosion allowance 3 mm
Projection available outside vessel, Lpr 130.15 mm
Projection available outside vessel to flange face, Lf 200 mm
Local vessel minimum thickness 15.88 mm
Liquid static head included 0 bar
Longitudinal joint efficiency 1
Welds
Inner Fillet, Leg 41 9 mm
Nozzle to vessel groove weld 15.88 mm
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ASME B16.5-2009 Flange
Description NPS 2 Class 300 WN A105 N
Bolt Material SA-193 B7 Bolt
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Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary(cm 2)
UG-45Summary
(mm)
For P = 36.93 bar @ 100 C The nozzlepasses UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Sum mary
Weld descriptionRequired weld
throat size (mm)Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg 41 ) 5.65 6.3 weld size is adequate
WRC 537
Load Case P(bar)P r
(kg f)Mc
(kg f-m)Vc
(kg f)ML
(kg f-m)VL
(kg f)Mt
(kg f-m)
MaxCombStress
(kg f/cm 2)
AllowCombStress
(kg f/cm 2)
MaxLocal
PrimaryStress
(kg f/cm 2)
AllowLocal
PrimaryStress
(kg f/cm 2)
Overstressed
Load case 1 36.93 285.5 2 28.6 214.14 37.1 285.52 42.8 1,918.957 4,221.622 1,600.044 2,110.811 No
Load case 1 (Hot ShutDown) 0 285.52 28.6 214.14 37.1 285.52 42.8 -723.388 4,221.622 -90.626 2,110.811 No
Load case 1 (Pr Reversed) 36.93 -285.52 28.6 214.14 37.1 285.52 42.8 2,094.864 4,221.622 1,670.492 2,110.811 No
Load case 1 (Pr Reversed)(Hot Shut Down) 0 -285.52 28.6 214.14 37.1 285.52 42.8 704.686 4,221.622 90.626 2,110.811 No
Calculations for internal pressure 36.93 bar @ 100 C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (t n - C n) + (t - C))= MAX(44.18, 22.09 + (11.07 - 3) + (15.88 - 3))= 44.18 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t n - C n) + t e)= MIN(2.5*(15.88 - 3), 2.5*(11.07 - 3) + 0)= 20.19 mm
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Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (S n*E - 0.6*P)= 36.9286*22.09 / (1,180*1 - 0.6*36.9286)= 0.7 mm
Required thickness t r from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 36.9286*358 / (1,380*1 - 0.6*36.9286)= 9.74 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: t min = lesser of 19 mm or t n or t = 8.07 mmtc(min)
= lesser of 6 mm or 0.7*tmin
= 5.65 mmtc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 36.9286*22.09 / (1,180*1 - 0.6*36.9286) + 3
= 3.7 mm
ta UG-22 = 4.61 mm
ta = max[ t a UG-27 , t a UG-22 ]= max[ 3.7 , 4.61 ]= 4.61 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 36.9286*358 / (1,380*1 - 0.6*36.9286) + 3= 12.74 mm
tb1 = max[ t b1 , t b UG16 ]= max[ 12.74 , 4.5 ]= 12.74 mm
tb = min[ t b3 , t b1 ]= min[ 6.42 , 12.74 ]= 6.42 mm
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tUG-45 = max[ t a , t b ]= max[ 4.61 , 6.42 ]= 6.42 mm
Available nozzle wall thickness new, t n = 0.875*11.07 = 9.69 mm
The nozzle neck thickness is adequate.
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WRC 537 Load case 1 (Pr Reversed)
Applied Loads
Radial load, P r -285.52 kg f
Circumferential moment, M c 28.6 kg f-m
Circumferential shear, V c 214.14 kg f
Longitudinal moment, M L 37.1 kg f-mLongitudinal shear, V L 285.52 kg f
Torsion moment, M t 42.8 kg f-m
Internal pressure, P 36.93 bar
Mean shell radius, R m 364.44 mm
Local shell thickness, T 12.88 mm
Design factor 3
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
= R m / T = 364.44 / 12.88 = 28.2944
= 0.875*r o / R m = 0.875*30.16 / 364.44 = 0.0724
Pressure stress intensity factor, I = 1.5094 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*R i / T =1,579.866 kg f /cm 2
Local longitudinal pressure stress = I*P*R i / (2*T) =789.968 kg f /cm 2
Maximum combined stress (PL+P
b+Q) = 2,094.86 kg f /cm 2
Allowable combined stress (P L+P b+Q) = 3*S = 4,221.62 kg f /cm2
The maximum combined stress (PL+P
b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,670.49 kg f /cm 2
Allowable local primary membrane stress (PL) = 1.5*S = 2,110.81 kg f /cm 2
The maximum local primary membrane stress (PL) is within allowable limits.
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Stresses at the nozzle OD per WRC Bulletin 537
Figure Y A u Al Bu B l Cu C l Du Dl3C* N / (P / R m) 4.6944 0 0 0 0 28.545 28.545 28.545 28.545
4C* N / (P / R m) 5.7871 35.224 35.224 35.224 35.224 0 0 0 0
1C M / P 0.1703 0 0 0 0 175.838 -175.838 175.838 -175.838
2C-1 M / P 0.1344 138.786 -138.786 138.786 -138.786 0 0 0 0
3A* N / [Mc / (R m2*)] 0.6295 0 0 0 0 -14.483 -14.483 14.483 14.483
1A M / [Mc / (R m*)] 0.104 0