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REV No.
WRC – 107 CALCULATIONS (N1) (INTERNAL)
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DATED
Method 2
INPUT DATA’S FOR NOZZLES N1 : INLET Vessel type : Cylinderical Cylinderical Attachment type : Round
PARAMETER Shell Diameter (OD) Shell Inside diameter (Dv ) Shell Thickness (T) Shell material Design Temperature Design pressure (Dp) Allowable strength of Material (Hot) Allowable strength of Material (Cold) Corrosion allowance (Shell and Nozzle)
SI UNITS 406.4 mm 387.34 mm 9.53 mm A 106 Gr B 170 Deg C 1.77 MPa(g) 118 MPa (g) 118 MPa (g) 3 mm
Nozzle Diameter (OD) Nozzle thickness (Tn ) Nozzle material Allowable strength of material ( Snh) (Hot) Allowable strength of material ( Snc) (Cold)
114.3 mm 8.56 mm A 106 Gr B 118 MPa (g) 118 MPa (g) LOADINGS DATA Radial Load (P) 4000 N Circumferential shear load (VC) 4000 N Longitudinal Shear load (VL) 4000 N Circumferential Moment ( M C) 3800 Nm Longitudinal Moment (ML) 3800 Nm Tortional Moment (MT) 3800 Nm CALCULATION VALUES Attachment radius (r o) 57.15 mm Vessel radius (Mean) (Rm) (Corroded Condition) 199.94 19 9.94 mm Thickness of the vessel (T) (Corroded condition) 6.53 mm
Calculation for Gamma and Beta : Gamma = Rm / T Beta
= 7.871 / 0.257 = 30.626 30.626
= (0.875) x (r o /Rm) = 0.875 x ( 2.25 / 7.871) 7.871) = 0.250
CUSTOMERY CUSTOME RY UNITS 16 in 15.249 in 0.375 in A 106 Gr B 338 Deg F 256.72 PSI(g) 17114 PSI (g) 17114 PSI (g) 0.118 in 4.5 in 0.337 in A 106 Gr B 17114 PSI (g) 17114 PSI (g) 900 Lb 900 Lb 900 Lb 2750 Lb ft 2750 Lb ft 2750 Lb ft 2.25 in 7.871 in 0.257 in
27/5/15
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REV No.
WRC – 107 CALCULATIONS (N1) (INTERNAL)
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DATED
27/5/15
Dimensionless loads for cylinderical shells at attachment junction : Reference table : Table No 8 To find ф Stresses :
Location
Gamma
Beta
Figure
A,B C,D A,B C,D A,B,C,D A,B,C,D A,B,C,D A,B,C,D
30.63 30.63 30.63 30.63 30.63 30.63 30.63 30.63
0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25
4C 3C 2C1 1C 3A 1A 3B 1B
Read data Nф / (P /Rm) Nф / (P /Rm) Mф /P Mф /P Nф / (Mc / Rm2β ) Mф / (Mc / Rm β ) Nф / (ML / Rm2β ) Mф / (ML / Rm β )
Value 3.900 3.000 0.050 0.060 1.400 0.068 2.800 0.018
To find X Stresses :
Location
Gamma
Beta
Figure
A,B C,D A,B C,D A,B,C,D A,B,C,D A,B,C,D A,B,C,D
30.63 30.63 30.63 30.63 30.63 30.63 30.63 30.63
0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25
3C 4C 1C1 2C 4A 2A 4B 2B
Read data NX / (P /Rm) Nx / (P /Rm) Mx /P Mx /P Nx / (Mc / Rm2β ) Mx / (Mc / Rm β ) Nx / (ML / Rm2β ) Mx / (ML / Rm β )
Value 3.000 3.900 0.080 0.032 2.500 0.026 1.300 0.032
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REV No.
WRC – 107 CALCULATIONS (N1) (INTERNAL)
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Stress concentration factor : From Fig B-2 Fillet Radius = 0.394 in Kn = 1.55 (From Tension curve), Kb = 1.3 (From Bending curve)
Type of Stress Circ. Membrance Circ.Bending Circ. Membrance Circ.Bending Circ. Membrance Circ.Bending Total Circ Stress
Type of Stress Circ. Membrance Circ.Bending Circ. Membrance Circ.Bending Circ. Membrance Circ.Bending Total Circ Stress Shear Stress
Load
Stress value at (psi) Bu Bl
Au
Al
P
-2690
-2690
-2690
P Mc
-5314 0
5314 0
Mc Ml
0 -2998
Ml Oф
-2971 -13973
Load
Au
Cu
Cl
Du
Dl
-2690
-2069
-2069
-2069
-2069
-5314 0
5314 0
-6377 -1499
6377 -1499
-6377 1499
6377 1499
0 -2998
0 2998
0 2998
-11223 0
11223 0
-11223 0
11223 0
2971 2597
2971 -2035
-2971 2651
0 -21168
0 14032
0 -18170
0 17030
Stress value at (psi) Al Bu Bl
Cu
Cl
Du
Dl
P
-2069
-2069
-2069
-2069
-2690
-2690
-2690
-2690
P Mc
-8503 0
8503 0
-8503 0
8503 0
-3401 -2677
3401 -2677
-3401 2677
3401 2677
Mc Ml
0 -1392
0 -1392
0 1392
0 1392
-4291 0
4291 0
-4291 0
4291 0
Ml Ox
-5281 -17245
5281 10323
5281 -3899
-5281 2545
0 -13059
0 2325
0 -7705
0 7679
757
757
757
757
757
757
757
757
Tortion,MT
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REV No.
WRC – 107 CALCULATIONS (N1) (INTERNAL)
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DATED
Here τ ≠ 0 So, Combined stress intensity is Largest absolute magnitude of S1 and S2 S1 = ½ [Ox + Oф +/- (Sq.rt ((Ox – Oф)2 + 4τ2 ))] or S2 = Sq.rt ((Ox – Oф) 2 + 4τ2 ) Type of Stress Oф Ox τ S2 S1 Max of S1 and S2
Au
Al
Bu
Bl
Cu
Cl
Du
Dl
-13973
2597
-2035
2651
-21168
14032
-18170
17030
-17245
10323
-3899
2545
-13059
2325
-7705
7679
1253
1253
-261
-261
-261
-261
1253
1253
4121
8122
1935
532
8125
11718
10760
9680
-13548
10521
-1999
2864
-13050
14037
-7557
17090
-13893
10357
-1999
2864
-13050
14037
10760
17090
-
Sign indicates Compressional stress
+
sign indicates tensional stress
Conclusion : All the stresses in the both of the nozzles less then the allowable stress of 17,114 psi (g) So, The nozzles can be used for the above mentioned loading conditions.
0 496 1253
27/5/15
