DESIGN CALCULATIONS CALCULATIONS OF PRESSURE VESSEL
Page : 31 of 126
According to ASME Code, Section VIII , Division 1, Edition 2001, Addenda 2002 Designed by : Eng. Abdel Halim Galala, Galala , Design General Manager (assist.)
Shee t : 1 of 5 Rev. : 1
Project : Design & Procurement of ASME Pressure Vessel Job Name : Demineralization Plant Plant Serial No. : 7434-33-U-2006 Dwg. No. : 7434-33-3A, Rev. 1 Vessel Vess el : Deputani Deputanizer zer Reflux Receiv Receiver er Drum Item No. : 1-D-5 Capacity : 10.152 M3
Date : 18.2.2004 Job No. : 7434-33
Client : APRC Type : Horizontal
M4. Nozzle Mark Mark : N1 8"NPS, Sch. 80, 300# 300# WNRF (Located at Shell) No. of nozzles, n
1
Nozzle Neck Thickness Calculation Nozzle Size, NPS Nozzle Material
8 200 INCH ASME SA 106 Grade B
DN
Design Pressure, P Design Temperature For nominated Design Pressure & Temperature, Flange Rating
257 57.8 .89 98 PS PSIIG o 149 F 300#
18.156 65
Kg/CM G
17100 17100
1203.84 1203.84
[UG-45, UG-27 & APPEND APPENDIX IX 1-1]
2
o
C
[ANSI/ASME [ANSI/AS ME B16.5-1996] o
Max. Allowable Stress of Nozzle Material @ Design Temp.(75 C), Sn o Max. Allowable Stress of Nozzle Materiall @ Test Temp.(40 C), Snt
PSIG PSIG
2
Kg/CM G 2
Kg/CM G
[Table 1A, SubPart 1, ASME Sec. II, Part D]
Outside Radius of Nozzle, Ron Joint Efficiency of Nozzle, En (Seamless Pipe) Nozzle Corrosion Allowance, Can
4.3125 INCH 1 0.23622 INCH
109.5375 MM
0.06465 INCH
1.642111 MM
0.30087 INCH
7.642111 MM
By adding Pipe Tolerance 12.5% to the Thickness of Nozzle, t
0.33848 INCH
8.597375 MM
Use Nozzle 8" NPS with Selected Neck Sch. 80 80,,
0.5
INCH
12.7
MM
Nozzle Neck Maximum Working Pressure, MWP (New & Operating) Nozzle wall thickness less tolerance 12.5% Nozzle wall thickness less tolerance 12.5% - Corrosion allowance MWP, New & cold (9.271 MM) P = Snt E t /(Ron - 0.4 t) [App. 1.1] MWP, Operating & corroded (4.289 MM) P = Sn E t /(Ron - 0.4 t)
0.4375 0.20128 1808.16 813.301
INCH
MM MM
PSIG PSIG
11.1125 5.1125 127.2943 57.25639
Nozzle Flange Maximum Working Pressure, MWP (New & Operating) o MWP, New & cold, cold , 300# @ 100 F [ASME B.165, Table 2] o MWP, Operating & corroded, 300# @ 149 F [ANSI B16.5, Table 2]
740 708.15
PSIG PSIG
2 Kg/CM G 52.096 49.85376 Kg/CM2G
6
MM
Nozzle Thickness Calculation : Longitudinal Stress, t = PRon /(Sn*En + 0.4 P) By adding Corrosion Allowance, t
with Thickness Thickness 0.5" ( 12.7 MM ).
[APPENDIX 1.1] [UG-25]
[Table 2 of ANSI B 36.10M-1985-(R-1994)]
INCH
2
Kg/CM G 2
Kg/CM G
DESIGN CALCULATIONS OF PRESSURE VESSEL
Page : 32 of 126
According to ASME Code, Section VIII , Division 1, Edition 2001, Addenda 2002 Designed by : Eng. Abdel Halim Galala, Design General Manager (assist.)
Sheet : 2 of 5 Date : 18.2.2004
Project : Design & Procurement of ASME Pressure Vessel Job Name : Demineralization Plant Serial No. : 7434-33-U-2006 Dwg. No. : 7434-33-3A, Rev. 1 Vessel : Deputanizer Reflux Receiver Drum Item No. : 1-D-5 Capacity : 10.152 M3
Client : APRC Job No. : 7434-33
Client : APRC Type : Horizontal
M4. Nozzle Mark : N1 8" 300# WNRF (located at shell) (cont.) Nozzle Opening Calculation With Reinforcing Nozzle Pipe Size, NPS Nozzle Pipe Sch. Design Pressure, P Design Temparture
INCH 8 80 257.898 PSIG o 149 F
Shell Material Nozzle Material Reinforcing Pad Material Allowable Stress of Shell Material, Sv Allowable Stress of Nozzle Material, Sn Allowable Stress of Pad Material, Sp
ASME SA516 Grade 70 ASME SA 106 Grade B ASME SA516 Grade 70 20000 PSIG 1408 17100 PSIG 1203.84 20000 PSIG 1408
Shell Thickness Shell Corrosion Allowance, Cas Shell Thickness Shell Thickness less Corrosion Allowance
0.86614 0.23622 0.86614 0.62992
INCH INCH INCH INCH
22 6 22 16
MM MM MM MM
0.5 0.4375 0.23622 0.20128 0.20128 0.86614 1 1 1 1 62.9921 61.7323 30.8661
INCH INCH INCH INCH INCH
12.7 11.1125 6 5.1125 5.1125 22
MM MM MM MM MM MM
1600 1568 784
MM MM MM
8.625 7.625 0 1.5748 0.5032 8.22244 4.11122
INCH
219.075 193.675 0 40 12.78125 208.85 104.425
MM MM MM MM MM MM MM
less Pipe Tolerance 12.5% (12.5% NA)
&12.5%, t (12.5% NA)
Nozzle Wall Nominal Thickness Nozzle Wall Thickness less Pipe Tolerance 12.5% Nozzle Corrosion Allowance, Can Nozzle Wall Thick. less Corr. Allowance & 12.5% , tn Nozzle Wall Thick.of Internal Projection (less Corr. Allowance & 12.5%), ti
Reinforced Pad Thickness, te Joint Efficiency of Shell, E Joint Efficiency of Nozzle, En Correction Factor, F [UG-37(a)] E1 [Nozzle in solid plate] Shell Outside Diameter, OD Shell Inside Diameter in Corroded Condition, 2R = OD - 2 t Shell Inside Radius in Corroded Condition, R Nozzle Outside Diameter, OD Nozzle Inside Diameter, ID Nozzle Projection beyond Inner Vessel Wall, h = min. (h1,h2) h1 = 2.5 t h2 = 2.5 ti Nozzle ID Wi thout Corrosion Allowance & 12.5% , d = OD - 2*tn
Finished Radius of Circular Opening, Rn
[UG-27(c) & APPENDIX 1-1]
INCH
INCH INCH INCH
INCH INCH INCH INCH INCH INCH
200
DN
18.15602 Kg/CM2G o 65 C
2
Kg/CM G 2
Kg/CM G 2
Kg/CM G
Leg 41
Leg 42
DESIGN CALCULATIONS OF PRESSURE VESSEL
Page : 33 of 126
According to ASME Code, Section VIII , Division 1, Edition 2001, Addenda 2002 Designed by : Eng. Abdel Halim Galala, Design General Manager (assist.)
Sheet : 3 of 5 Rev. : 1
Project : Design & Procurement of ASME Pressure Vessel Job Name : Demineralization Plant Serial No. : 7434-33-U-2006 Dwg. No. : 7434-33-3A, Rev. 1 Vessel : Deputanizer Reflux Receiver Drum Item No. : 1-D-5 Capacity : 10.152 M3
Date : 18.2.2004 Job No. : 7434-33
Client : APRC Type : Horizontal
M4. Nozzle Mark : N1 8" 300# WNRF (located at shell) (cont.) Nozzle Opening Calculation With Reinforcing (cont.)
[UG-27(c) & APPENDIX 1-1]
[UG-40(b)&FIG.UG-37.1] * Outside Diameter of Reinforced Pad Dp1 = 2 d Dp2 = 2 (Rn + nozzle wall thk. , tn + vessel wall thk. , t ) OD of Reinf. Pad, Dp = the greater of Dp1 or Dp2
16.4449 INCH 9.88484 INCH 16.4449 INCH
417.7 251.075 417.7
MM MM MM
0.75 0.5 0.47244 0.47244 0.25 0.33071 0.25
19.05 12.7 12 12 6.35 8.4 6.35
MM MM MM MM MM MM MM
Calculating Size of Fillet Welds : [UW-16(c)(2)&FIG.UW-16.1] * For Outward Nozzle Weld [UW-16(c)(2)&FIG.UW-16.1SKETCH (c)] Calculation of tmin. : tmin.1 = 0.75 inch tmin.2 (nozzle wall nominal thickness) tmin.3 (shell wall thickness) tmin. = lesser of tmin.1, tmin. & tmin.3 Calculation of tc : tc1 = 0.25 inch tc2 = 0.7 t min. tc = lesser of tc1 & tc2 By Considering Equal Legs Fillet Welds : Leg of Outward Nozzle Weld = SQRT2 * tc Use Leg with Dimension E in Dwg. No. 7434-33-3A * For Outer Reinforcing Pad Weld [FIG.UW-16 SKETCH (c)] tmin.1 = 0.75 inch tmin.2 ( te = thk. of reinforcing element) tmin.3 ( shell wall thickness) tmin. = lesser of tmin.1, tmin. 2 & tmin.3 1/2 t min. By Considering Equal Legs Fillet Welds : Leg of Outer Pad Weld = SQRT(2)*(tmin./2) Use Leg with Dimension D in Dwg. No. 7434-33-3A * Wall Thickness Required : Shell Nozzle
INCH INCH INCH INCH INCH INCH INCH
0.35355 INCH 0.35433 INCH
8.980256 MM 9 MM
0.75 0.86614 0.86614 0.75 0.375
19.05 22 22 19.05 9.525
MM MM MM MM MM
0.53033 INCH 0.55118 INCH
13.5 14
MM MM
0.47256 INCH 0.06257 INCH
12.0029 MM 1.589294 MM
INCH INCH INCH INCH INCH
[UG-27(c)(1)]
tr = PR / (SE - 0.6 P) trn = PRn /(SnEn - 0.6 P)
* Strength Reduction Factors : Sp / Sv fr1 = Sn / Sv fr2 = Sn / Sv fr3 = lesser of Sn/Sv or Sp/Sv fr4 = Sp / Sv
1 0.855 0.855 0.855 1
DESIGN CALCULATIONS OF PRESSURE VESSEL
Page : 34 of 126
According to ASME Code, Section VIII , Division 1, Edition 2001, Addenda 2002 Designed by : Eng. Abdel Halim Galala, Design General Manager (assist.)
Sheet : 4 of 5 Rev. : 1
Project : Design & Procurement of ASME Pressure Vessel Job Name : Demineralization Plant Serial No. : 7434-33-U-2006 Dwg. No. : 7434-33-3A, Rev. 1 Vessel : Deputanizer Reflux Receiver Drum Item No. : 1-D-5 Capacity : 10.152 M3
Date : 18.2.2004 Job No. : 7434-33
Client : APRC Type : Horizontal
M4. Nozzle Mark : N1 8" 300# WNRF (located at shell) (cont.) Min. Nozzle Neck Wall Thickness Check Per UG-45 A. Wall Thickness per UG-45(a) :
trna = trn + Can
B. Wall Thickness per UG-45(b) : trnb = Min. (trnb1, trnb2, trnb3, trnb4) Wall Thickness per UG-45(b)(1), trnb1 = Min. (trnb11, trnb12) trnb11 = tr + Cas (tr for shell or head at E=1) trnb12 = Min Wall Thickness per UG-16(b), see below Wall Thickness per UG-45(b)(2), trnb2 (apply to external pressure only),
0.29879 INCH
7.589294 MM
0.32997 0.32997 0.70878 0.32997
INCH INCH INCH
8.38125 8.38125 18.0029 8.38125
MM MM MM MM
NA
INCH
#VALUE!
MM
8.38125
MM
INCH
Wall Thickness per UG-45(b)(3), trnb3 (apply to internal & external pressure) = Max. (trnb1, trnb2) 0.32997 INCH Wall Thickness per UG-45(b)(4), trnb4 = Min. thickness of std. wall pipe (1-0.125)+ Can 0.51797 INCH
13.15645 MM
(Under tolerance12.5% in accordance with ASME B36.10M )
Nominal thickness of std. pipe wall thickness, NPS 8 ", Sch. Std. 0.322 Wall Thickness per UG-16(b), trnb12 I - Min. Wall Thickness 1/16" + Cas II - Min. Wall Thickness of Unfired Steam Boilers = 1/4" + Cas III - Min. Wall Thickness of Shell/Head in Compressed Air Service, Steam Service, and Water Service = 3/32" + Cas Selected Vessel Service in our case is : Case III (compressed air) So, the Min. Wall Thickness per UG-16(b), trnb12
The min. nozzle wall thk. = Max. thk. determined by UG-45(a), or by UG-45(b) The nominal nozzle pipe wall thk. The min. nozzle thk. provided = t (1-0.125) So, the thickness provided meets the rules of UG-45. Since there is no superimposed loads, the vessel doesn't require a calculationon shear stresses caused by UG-22(c).
INCH
8.1788
MM
0.29872 INCH 0.48622 INCH
7.5875 12.35
MM MM
0.32997 INCH
8.38125
MM
0.32997 INCH
8.38125
MM
0.32997 INCH 0.5 INCH INCH 0.4375 OK
8.38125 12.7 11.1125
MM MM MM
DESIGN CALCULATIONS OF PRESSURE VESSEL
Page : 35 of 126
According to ASME Code, Section VIII , Division 1, Edition 2001, Addenda 2002 Designed by : Eng. Abdel Halim Galala, Design General Manager (assist.)
Sheet : 5 of 5 Rev. : 1
Project : Design & Procurement of ASME Pressure Vessel Job Name : Demineralization Plant Serial No. : 7434-33-U-2006 Dwg. No. : 7434-33-3A, Rev. 1 Vessel : Deputanizer Reflux Receiver Drum Item No. : 1-D-5 Capacity : 10.152 M3
Date : 18.2.2004
M4. Nozzle Mark : N1 8" 300# WNRF (located at shell) (cont.) Nozzle Opening Calculation With Reinforcing (cont.)
Job No. : 7434-33
Client : APRC Type : Horizontal
[UG-27]
Area of Reinforcement (with reinforcing Element) : Required Area, A = d tr F + 2 tn tr F(1-fr1)
3.91314 INCH
Area Available in Shell, A1: A11 = d (E1 t - F tr) - 2tn (E1 t - F tr)(1-fr1) A12 = 2 (t + tn)(E1 t - F tr) - 2tn (E1 t - F tr)(1-f r1) A1 = The Greater of A11 or A12 Area Available in Nozzle Projecting Outward, A2 : A21 = 5 (tn - trn) fr2 t A22 = 2 (tn - trn)(2.5tn+te) fr2 A2 = The Lesser of A21 or A22
0.37353 INCH 2 0.3248 INCH 2 0.3248 INCH
Area Available in Inward Nozzle, A3 : (Not applicable) A31 = 5 t ti fr2 A32 = 5 ti ti fr2 A33 = 2 h ti fr2 A3 = The Greater of A31, A32 or A33
0.54203 0.17319 0 0
Area Available in Outward Nozzle Weld, A41: 2 A41 = (LEG) fr3
2
2524.602 MM
1.28475 INCH 2 0.25242 INCH 2 1.28475 INCH
2
828.8676 MM 2 162.8512 MM 2 828.8676 MM
2
240.9873 MM 2 209.546 MM 2 209.546 MM
2
349.695 111.7385 0 0
MM 2 MM 2 MM 2 MM
0.10735 INCH
2
69.255
MM
Area Available in Outer Reinforcing Pad Weld, A42: 2 A42 = (LEG) fr4
0.3038
INCH
2
196
MM
Area Available in Inward Nozzle Weld, A43 : 2 A43 = (LEG) fr2
0.10735 INCH
2
69.255
MM
Area Available in Reinforcing Pad, A5 : A5 = (Dp - d - 2tn) te fr4
6.77313 INCH
2
4369.75
MM
Total Area Available, AT : AT = A1 + A2 + A41 + A42 + A43 + A5
8.90116 INCH
2
5742.674 MM
AT is greater than A, therefore opening is adequately reinforced. NOTE. No need for Strength Path Calculations.
INCH 2 INCH 2 INCH 2 INCH
2
2
2
2
2
2
2
2
2