Input Data Design Internal Pressure (for Hydrotest) 2.03 kgf/cm² Design Internal Temperature 159.0 °C Type of Hydrotest UG-99(b) Hydrotest Position Vertical Projection of Nozzle from Vessel Top 0 mm Projection of Nozzle from Vessel Bottom 0 mm Minimum Design Metal Temperature -28.9 °C Type of Construction Welded Special Service None Degree of Radiography RT-1 Use Higher Longitudinal Stresses (Flag) Y Select t for Internal Pressure (Flag) N Select t for External Pressure (Flag) N Select t for Axial Stress (Flag) N Select Location for Stiff. Rings (Flag) N Consider Vortex Shedding N Perform a Corroded Hydrotest N Load Case 1 NP+EW+WI+FW+BW Load Case 2 NP+EW+EE+FS+BS Load Case 3 NP+OW+WI+FW+BW Load Case 4 NP+OW+EQ+FS+BS Load Case 5 NP+HW+HI Load Case 6 NP+HW+HE Load Case 7 IP+OW+WI+FW+BW Load Case 8 IP+OW+EQ+FS+BS Load Case 9 EP+OW+WI+FW+BW Load Case 10 EP+OW+EQ+FS+BS Load Case 11 HP+HW+HI Load Case 12 HP+HW+HE Load Case 13 IP+WE+EW Load Case 14 IP+WF+CW Load Case 15 IP+VO+OW Load Case 16 IP+VE+EW Load Case 17 NP+VO+OW Load Case 18 FS+BS+IP+OW Load Case 19 FS+BS+EP+OW Wind Design Code ASCE-7 93 Basic Wind Speed [V] 112.65 km/hr Surface Roughness Category C: Open Terrain Importance Factor 1.0 Type of Surface Moderately Smooth Base Elevation 0 mm Percent Wind for Hydrotest 33.0 Using User defined Wind Press. Vs Elev. N Damping Factor (Beta) for Wind (Ope) 0.0100 Damping Factor (Beta) for Wind (Empty) 0.0000 Damping Factor (Beta) for Wind (Filled) 0.0000 Seismic Design Code UBC 94 UBC Seismic Zone (1=1,2=2a,3=2b,4=3,5=4) 0.000 UBC Importance Factor 1.000 UBC Soil Type S1 UBC Horizontal Force Factor 3.000 UBC Percent Seismic for Hydrotest 0.000 Design Pressure + Static Head Y Consider MAP New and Cold in Noz. Design N Consider External Loads for Nozzle Des. Y Use ASME VIII-1 Appendix 1-9 N Material Database Year Current w/Addenda or Code Year Configuration Directives: Do not use Nozzle MDMT Interpretation VIII-1 01-37 No Use Table G instead of exact equation for "A" Yes Shell Head Joints are Tapered Yes Compute "K" in corroded condition Yes Use Code Case 2286 No Use the MAWP to compute the MDMT Yes For thickness ratios <= 0.35, MDMT will be -155F (-104C) Yes For PWHT & P1 Materials the MDMT can be < -55F (-48C) No Using Metric Material Databases, ASME II D No Calculate B31.3 type stress for Nozzles with Loads Yes Reduce the MDMT due to lower membrane stress Yes Consider Longitudinal Stress in MDMT calcs. (Div. 1) No Complete Listing of Vessel Elements and Details: Element From Node 10 Element To Node 20 Element Type Flange Description Flange B2 Distance "FROM" to "TO" 35.052 mm Flange Inside Diameter 360 mm Element Thickness 35.052 mm Internal Corrosion Allowance 0 mm Nominal Thickness 0 mm External Corrosion Allowance 0 mm Design Internal Pressure 2.03 kgf/cm² Design Temperature Internal Pressure 159 °C Design External Pressure 1.0546 kgf/cm² Design Temperature External Pressure 93 °C Effective Diameter Multiplier 1.2 Material Name SA-105 Allowable Stress, Ambient 1406.1 kgf/cm² Allowable Stress, Operating 1406.1 kgf/cm² Allowable Stress, Hydrotest 1828 kgf/cm² Material Density 0.00775 kg/cm³ P Number Thickness 30.988 mm Yield Stress, Operating 2223 kgf/cm² UCS-66 Chart Curve Designation B External Pressure Chart Name CS-2 UNS Number K03504 Product Form Forgings Perform Flange Stress Calculation (Y/N) Y Weight of ANSI B16.5/B16.47 Flange 0 kgf Class of ANSI B16.5/B16.47 Flange Grade of ANSI B16.5/B16.47 Flange Weld is pre-Heated No -------------------------------------------------------------------- Element From Node 20 Element To Node 30 Element Type Cylinder Description Bocal B2 Distance "FROM" to "TO" 301 mm Element Outside Diameter 360 mm Element Thickness 9.5 mm Internal Corrosion Allowance 0 mm Nominal Thickness 0 mm External Corrosion Allowance 0 mm Design Internal Pressure 2.03 kgf/cm² Design Temperature Internal Pressure 159 °C Design External Pressure 1.0546 kgf/cm² Design Temperature External Pressure 93 °C Effective Diameter Multiplier 1.2 Material Name SA-285 C Allowable Stress, Ambient 1103.8 kgf/cm² Allowable Stress, Operating 1103.8 kgf/cm² Allowable Stress, Hydrotest 1435 kgf/cm² Material Density 0.00775 kg/cm³ P Number Thickness 30.988 mm Yield Stress, Operating 1851.6 kgf/cm² UCS-66 Chart Curve Designation A External Pressure Chart Name CS-2 UNS Number K02801 Product Form Plate Efficiency, Longitudinal Seam 1.0 Efficiency, Circumferential Seam 1.0 Weld is pre-Heated No -------------------------------------------------------------------- Element From Node 30 Element To Node 40 Element Type Conical Description Tampo Conico Distance "FROM" to "TO" 1529 mm Element Outside Diameter 360 mm Element Thickness 9.5 mm Internal Corrosion Allowance 2 mm Nominal Thickness 0 mm External Corrosion Allowance 0 mm Design Internal Pressure 2.03 kgf/cm² Design Temperature Internal Pressure 159 °C Design External Pressure 1.0546 kgf/cm² Design Temperature External Pressure 93 °C Effective Diameter Multiplier 1.2 Material Name SA-285 C Efficiency, Longitudinal Seam 0.7 Efficiency, Circumferential Seam 0.7 Cone Diameter at "To" End 2100 mm Design Length of Cone 1529 mm Half Apex Angle of Cone 29.639851 degrees Toriconical (Y/N) N Weld is pre-Heated No -------------------------------------------------------------------- Element From Node 40 Element To Node 50 Element Type Cylinder Description Casco Distance "FROM" to "TO" 1860 mm Element Outside Diameter 2100 mm Element Thickness 9.5 mm Internal Corrosion Allowance 2 mm Nominal Thickness 0 mm External Corrosion Allowance 0 mm Design Internal Pressure 2.03 kgf/cm² Design Temperature Internal Pressure 159 °C Design External Pressure 1.0546 kgf/cm² Design Temperature External Pressure 93 °C Effective Diameter Multiplier 1.2 Material Name SA-285 C Efficiency, Longitudinal Seam 0.7 Efficiency, Circumferential Seam 0.7 Weld is pre-Heated No Element From Node 40 Detail Type Nozzle Detail ID Bocal A1 Dist. from "FROM" Node / Offset dist 1380 mm Nozzle Diameter 24 in. Nozzle Schedule 40 Nozzle Class 150 Layout Angle -46.181099 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 0 kgf Grade of Attached Flange GR 1.1 Nozzle Matl SA-285 C Element From Node 40 Detail Type Nozzle Detail ID Bocal A2 Dist. from "FROM" Node / Offset dist 1490 mm Nozzle Diameter 20 in. Nozzle Schedule 40 Nozzle Class 150 Layout Angle 43.818901 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 142.16 kgf Grade of Attached Flange GR 1.1 Nozzle Matl SA-285 C -------------------------------------------------------------------- Element From Node 50 Element To Node 60 Element Type Torisphe. Description Tampo Superior Distance "FROM" to "TO" 30 mm Element Outside Diameter 2100 mm Element Thickness 9.5 mm Internal Corrosion Allowance 2 mm Nominal Thickness 0 mm External Corrosion Allowance 0 mm Design Internal Pressure 2.03 kgf/cm² Design Temperature Internal Pressure 159 °C Design External Pressure 1.0546 kgf/cm² Design Temperature External Pressure 93 °C Effective Diameter Multiplier 1.2 Material Name SA-285 C Efficiency, Longitudinal Seam 0.7 Efficiency, Circumferential Seam 0.7 Tori Head Crown Radius 1732.5 mm Tori Head Knuckle Radius 323.5 mm Weld is pre-Heated No Element From Node 50 Detail Type Nozzle Detail ID Bocal B1 Dist. from "FROM" Node / Offset dist 0 mm Nozzle Diameter 34 in. Nozzle Schedule 40 Nozzle Class 150 Layout Angle 0.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 124.64 kgf Grade of Attached Flange GR 1.1 Nozzle Matl SA-285 C Element Thickness, Pressure, Diameter and Allowable Stress : | | Int. Press | Nominal | Total Corr | Element | Allowable | From | To | + Liq. Hd | Thickness | Allowance | Diameter | Stress(SE)| | | kgf/cm² | mm | mm | mm | kgf/cm² | ---------------------------------------------------------------------------------- Flange B2| 2.03 | ... | ... | 360 | 1406.1 | Bocal B2| 2.03 | ... | ... | 360 | 1103.8 | Tampo Conico| 2.03 | ... | 2 | 2100 | 772.67 | Casco| 2.03 | ... | 2 | 2100 | 772.67 | Tampo Superior| 2.03 | ... | 2 | 2100 | 772.67 | ---------------------------------------------------------------------------------- Element Required Thickness and MAWP : | | Design | M.A.W.P. | M.A.P. | Minimum | Required | From | To | Pressure | Corroded | New & Cold | Thickness | Thickness | | | kgf/cm² | kgf/cm² | kgf/cm² | mm | mm | ---------------------------------------------------------------------------------- Flange B2| 2.03 | 15.7448 | 19.987 | 35.052 | No Calc | Bocal B2| 2.03 | 59.5136 | 59.5136 | 9.5 | 1.5 | Tampo Conico| 2.03 | 4.80887 | 6.09529 | 9.5 | 5.17057 | Casco| 2.03 | 5.53491 | 7.01625 | 9.5 | 4.75571 | Tampo Superior| 2.03 | 5.03184 | 6.37296 | 9.5 | 5.03235 | ---------------------------------------------------------------------------------- Minimum 3.852 6.095 MAWP: 3.852 kgf/cm², limited by: Tampo Conico. [Junction Iteration] Internal Pressure Calculation Results : ASME Code, Section VIII Division 1, 2017 Cylindrical Shell From 20 To 30 SA-285 C , UCS-66 Crv. A at 159 °C Bocal B2 Material UNS Number: K02801 Required Thickness due to Internal Pressure [tr]: = (P*Ro) / (S*E+0.4*P) per Appendix 1-1 (a)(1) = (2.03*180.0)/(1103.82*1.0+0.4*2.03) = 0.3308 + 0.0000 = 0.3308 mm Note: The thickness required was less than the Code Minimum, therefore the Code Minimum value of 1.5000 mm per UG-16 will be used. Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (1103.82*1.0*9.5)/(180.0-0.4*9.5) = 59.514 kgf/cm² Maximum Allowable Pressure, New and Cold [MAPNC]: = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (1103.82*1.0*9.5)/(180.0-0.4*9.5) = 59.514 kgf/cm² Actual stress at given pressure and thickness, corroded [Sact]: = (P*(Ro-0.4*t))/(E*t) = (2.03*((180.0-0.4*9.5))/(1.0*9.5) = 37.651 kgf/cm² % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 2.710 % Minimum Design Metal Temperature Results: Govrn. thk, tg = 9.5, tr = 1.5, c = 0.0 mm, E* = 1.0 Thickness Ratio = tr * (E*)/(tg - c) = 0.158, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -104 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C Conical Section From 30 To 40 SA-285 C , UCS-66 Crv. A at 159 °C Tampo Conico Material UNS Number: K02801 Required Thickness due to Internal Pressure [tr]: = (P*Do)/(2*cos(a)*(S*E+0.4*P)) per Appendix 1-4 (e) = (2.03*2100.0)/(2*0.8692*(1103.82*0.7+0.4*2.03)) = 3.1706 + 2.0000 = 5.1706 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (2*S*E*t*cos(a))/(D-0.8*t*cos(a)) per Appendix 1-4 (e)(5) = (2*1103.82*0.7*(7.5)*0.8692)/(2100.0-0.8*(7.5)*0.8692) = 4.809 kgf/cm² Maximum Allowable Pressure, New and Cold [MAPNC]: = (2*S*E*t*cos(a))/(D-0.8*t*cos(a)) per Appendix 1-4(e) = (2*1103.82*0.7*9.5*0.8692)/(2100.0-0.8*9.5*0.8692) = 6.095 kgf/cm² Actual stress at given pressure and thickness, corroded [Sact]: = (P*(D-0.8*t*cos(a)))/(2*E*t*cos(a)) = (2.03*(2100.0-0.8*(7.5)*0.8692))/(2*0.7*(7.5)*0.8692) = 465.962 kgf/cm² % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 2.722 % Note: The Pressure at the Large Diameter is used in the TR calculation. Minimum Design Metal Temperature Results: Govrn. thk, tg = 9.5, tr = 6.734, c = 2.0 mm, E* = 0.8 Thickness Ratio = tr * (E*)/(tg - c) = 0.718, Temp. Reduction = 16 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -23 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C Cylindrical Shell From 40 To 50 SA-285 C , UCS-66 Crv. A at 159 °C Casco Material UNS Number: K02801 Required Thickness due to Internal Pressure [tr]: = (P*Ro) / (S*E+0.4*P) per Appendix 1-1 (a)(1) = (2.03*1050.0)/(1103.82*0.7+0.4*2.03) = 2.7557 + 2.0000 = 4.7557 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (1103.82*0.7*7.5)/(1050.0-0.4*7.5) = 5.535 kgf/cm² Maximum Allowable Pressure, New and Cold [MAPNC]: = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (1103.82*0.7*9.5)/(1050.0-0.4*9.5) = 7.016 kgf/cm² Actual stress at given pressure and thickness, corroded [Sact]: = (P*(Ro-0.4*t))/(E*t) = (2.03*((1050.0-0.4*7.5))/(0.7*7.5) = 404.840 kgf/cm² % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 0.454 % Minimum Design Metal Temperature Results: Govrn. thk, tg = 9.5, tr = 5.853, c = 2.0 mm, E* = 0.8 Thickness Ratio = tr * (E*)/(tg - c) = 0.624, Temp. Reduction = 21 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -29 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C Torispherical Head From 50 To 60 SA-285 C , UCS-66 Crv. A at 159 °C Tampo Superior Material UNS Number: K02801 Inside Corroded Head Depth [h]: = L - sqrt( ( L - Di / 2) * ( L + Di / 2 - 2 * r ) ) = 1734.5-sqrt((1734.5-2085.0/2)*(1734.5+2085.0/2-2*325.5)) = 521.573 mm M factor for Torispherical Heads ( Corroded ): = (3+sqrt((L+C)/(r+C)))/4 per Appendix 1-4 (b & d) = (3+sqrt((1732.5+ 2.0)/(323.5+ 2.0)))/4 = 1.3271 Required Thickness due to Internal Pressure [tr]: = (P*Lo*M)/(2*S*E+P*(M-0.2)) per Appendix 1-4 (d) = (2.03*1742.0*1.3271)/(2*1103.82*0.7+2.03*(1.3271-0.2)) = 3.0323 + 2.0000 = 5.0323 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (2*S*E*t)/(M*Lo-t(M-0.2)) per Appendix 1-4 (d) = (2*1103.82*0.7*7.5)/(1.3271*1742.0-7.5(1.33-0.2)) = 5.032 kgf/cm² M factor for Torispherical Heads ( New & Cold ): = (3+sqrt(L/r))/4 per Appendix 1-4 (b & d) = (3+sqrt(1732.5/323.5))/4 = 1.3285 Maximum Allowable Pressure, New and Cold [MAPNC]: = (2*S*E*t)/(M*Lo - t(M-0.2)) per Appendix 1-4 (d) = (2*1103.82*0.7*9.5)/(1.3285*1742.0-9.5(1.33-0.2)) = 6.373 kgf/cm² Actual stress at given pressure and thickness, corroded [Sact]: = (P*(M*Lo-t(M-0.2)))/(2*E*t) = (2.03*(1.3271*1742.0-7.5(1.3271-0.2)))/(2*0.7*7.5) = 445.316 kgf/cm² Straight Flange Required Thickness: = (P*Ro)/(S*E+0.4*P) + ca per Appendix 1-1 (a)(1) = (2.03*1050.0)/(1103.82*0.7+0.4*2.03)+2.0 = 4.756 mm Straight Flange Maximum Allowable Working Pressure: = (S*E*t)/(Ro-0.4*t) per Appendix 1-1 (a)(1) = (1103.82 * 0.7 * 7.5)/(1050.0 - 0.4 * 7.5 ) = 5.535 kgf/cm² Percent Elong. per UCS-79, VIII-1-01-57 (75*tnom/Rf)*(1-Rf/Ro) 2.171 % MDMT Calculations in the Knuckle Portion: Govrn. thk, tg = 9.5, tr = 6.437, c = 2.0 mm, E* = 0.8 Thickness Ratio = tr * (E*)/(tg - c) = 0.687, Temp. Reduction = 17 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -25 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C MDMT Calculations in the Head Straight Flange: Govrn. thk, tg = 9.5, tr = 5.853, c = 2.0 mm, E* = 0.8 Thickness Ratio = tr * (E*)/(tg - c) = 0.624, Temp. Reduction = 21 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -29 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C Note: Heads and Shells Exempted to -20F (-29C) by paragraph UG-20F Hydrostatic Test Pressure Results: Pressure per UG99b = 1.30 * M.A.W.P. * Sa/S 5.007 kgf/cm² Pressure per UG99b[36] = 1.30 * Design Pres * Sa/S 2.639 kgf/cm² Pressure per UG99c = 1.30 * M.A.P. - Head(Hyd) 7.530 kgf/cm² Pressure per UG100 = 1.10 * M.A.W.P. * Sa/S 4.237 kgf/cm² Pressure per PED = max(1.43*DP, 1.25*DP*ratio) 2.903 kgf/cm² Pressure per App 27-4 = M.A.W.P. 3.852 kgf/cm² UG-99(b), Test Pressure Calculation: = Test Factor * MAWP * Stress Ratio = 1.3 * 3.852 * 1.0 = 5.007 kgf/cm² Vertical Test performed per: UG-99b Please note that Nozzle, Shell, Head, Flange, etc MAWPs are all considered when determining the hydrotest pressure for those test types that are based on the MAWP of the vessel. Stresses on Elements due to Test Pressure (kgf/cm²): From To | Stress | Allowable | Ratio | Pressure | ------------------------------------------------------------------------ Bocal B2 | 100.7 | 1435.0 | 0.070 | 5.43 | Tampo Conico | 950.4 | 1435.0 | 0.662 | 5.25 | Casco | 825.6 | 1435.0 | 0.575 | 5.25 | Tampo Superior | 876.8 | 1435.0 | 0.611 | 5.06 | ------------------------------------------------------------------------ Stress ratios for Nozzle and Pad Materials (kgf/cm²): Description | Pad/Nozzle | Ambient | Operating | Ratio | ------------------------------------------------------------------------ Bocal A1 | Nozzle | 1103.82 | 1103.82 | 1.000 | Bocal A2 | Nozzle | 1103.82 | 1103.82 | 1.000 | Bocal B1 | Nozzle | 1103.82 | 1103.82 | 1.000 | ------------------------------------------------------------------------ Minimum 1.000 Stress ratios for Pressurized Vessel Elements (kgf/cm²): Description | Ambient | Operating | Ratio | ------------------------------------------------------------------------ Flange B2 | 1406.14 | 1406.14 | 1.000 | Bocal B2 | 1103.82 | 1103.82 | 1.000 | Tampo Conico | 1103.82 | 1103.82 | 1.000 | Casco | 1103.82 | 1103.82 | 1.000 | Tampo Superior | 1103.82 | 1103.82 | 1.000 | ------------------------------------------------------------------------ Minimum 1.000 Hoop Stress in Nozzle Wall during Pressure Test (kgf/cm²): Description | Ambient | Operating | Ratio | ------------------------------------------------------------------------ Bocal A1 | 167.02 | 1434.97 | 0.116 | Bocal A2 | 139.39 | 1434.97 | 0.097 | Bocal B1 | 233.12 | 1434.97 | 0.162 | ------------------------------------------------------------------------ Elements Suitable for Internal Pressure. External Pressure Calculation Results : External Pressure Calculations: | | Section | Outside | Corroded | Factor | Factor | From| To | Length | Diameter | Thickness | A | B | | | mm | mm | mm | | kgf/cm² | ----------------------------------------------------------------------------- 10| 20| No Calc | ... | 35.052 | No Calc | No Calc | 20| 30| 301 | 360 | 9.5 | 0.0072546 | 1251.46 | 30| 40| 894.693 | 2100 | 7.5 | 0.00056623 | 577.243 | 40| 50| 2063.19 | 2100 | 7.5 | 0.00028951 | 295.146 | 50| 60| No Calc | 1742 | 7.5 | 0.00053817 | 548.643 | ----------------------------------------------------------------------------- External Pressure Calculations: | | External | External | External | External | From| To | Actual T. | Required T.| Design Pressure | M.A.W.P. | | | mm | mm | kgf/cm² | kgf/cm² | ----------------------------------------------------------------------- 10| 20| 35.052 | No Calc | 1.05461 | No Calc | 20| 30| 9.5 | 1.06812 | 1.05461 | 44.033 | 30| 40| 9.5 | 7.43035 | 1.05461 | 2.3891 | 40| 50| 9.5 | 8.68543 | 1.05461 | 1.40546 | 50| 60| 9.5 | 7.01157 | 1.05461 | 2.36212 | ----------------------------------------------------------------------- Minimum 1.405 External Pressure Calculations: | | Actual Length | Allowable Length | Ring Inertia | Ring Inertia | From| To | Bet. Stiffeners | Bet. Stiffeners | Required | Available | | | mm | mm | cm**4 | cm**4 | -------------------------------------------------------------------------------- 10| 20| No Calc | No Calc | No Calc | No Calc | 20| 30| 301 | 10410.5 | No Calc | No Calc | 30| 40| 894.693 | 894.693 | No Calc | No Calc | 40| 50| 2063.19 | 2719.42 | No Calc | No Calc | 50| 60| No Calc | No Calc | No Calc | No Calc | -------------------------------------------------------------------------------- Elements Suitable for External Pressure. ASME Code, Section VIII Division 1, 2017 Cylindrical Shell From 20 to 30 Ext. Chart: CS-2 at 93 °C Bocal B2 Elastic Modulus from Chart: CS-2 at 93 °C : 0.204E+07 kgf/cm² Results for Maximum Allowable External Pressure (MAEP): Tca OD SLEN D/t L/D Factor A B 9.500 360.00 301.00 37.89 0.8361 0.0072546 1251.46 EMAP = (4*B)/(3*(D/t)) = (4*1251.4646)/(3*37.8947) = 44.033 kgf/cm² Results for Required Thickness (Tca): Tca OD SLEN D/t L/D Factor A B 1.068 360.00 301.00 337.04 0.8361 0.0002615 266.60 EMAP = (4*B)/(3*(D/t)) = (4*266.6018)/(3*337.0397) = 1.0547 kgf/cm² Results for Maximum Stiffened Length (Slen): Tca OD SLEN D/t L/D Factor A B 9.500 360.00 10410.54 37.89 28.9182 0.0007845 790.11 EMAP = (4*B)/(3*(D/t)) = (4*790.1115)/(3*37.8947) = 27.8002 kgf/cm² Cone From 30 to 40 Ext. Chart: CS-2 at 93 °C Tampo Conico Elastic Modulus from Chart: CS-2 at 93 °C : 0.204E+07 kgf/cm² Results for Maximum Allowable External Pressure (MAEP): Tca OD SLEN D/t L/D Factor A B 6.519 2100.00 894.69 322.15 0.4260 0.0005662 577.24 EMAP = (4*B)/(3*(D/t)) = (4*577.243)/(3*322.1534) = 2.3891 kgf/cm² Note: The cone thickness used in the calculation has been modified per UG-33(f), te = t * cos(alpha). Results for Required Thickness (Tca): Tca OD SLEN D/t L/D Factor A B 4.720 2100.00 894.69 444.93 0.4260 0.0003452 351.94 EMAP = (4*B)/(3*(D/t)) = (4*351.9361)/(3*444.9342) = 1.0546 kgf/cm² Note: The cone thickness used in the calculation has been modified per UG-33(f), te = t * cos(alpha). Cylindrical Shell From 40 to 50 Ext. Chart: CS-2 at 93 °C Casco Elastic Modulus from Chart: CS-2 at 93 °C : 0.204E+07 kgf/cm² Results for Maximum Allowable External Pressure (MAEP): Tca OD SLEN D/t L/D Factor A B 7.500 2100.00 2063.19 280.00 0.9825 0.0002895 295.15 EMAP = (4*B)/(3*(D/t)) = (4*295.1464)/(3*280.0) = 1.4055 kgf/cm² Results for Required Thickness (Tca): Tca OD SLEN D/t L/D Factor A B 6.685 2100.00 2063.19 314.12 0.9825 0.0002437 248.46 EMAP = (4*B)/(3*(D/t)) = (4*248.4601)/(3*314.1157) = 1.0546 kgf/cm² Results for Maximum Stiffened Length (Slen): Tca OD SLEN D/t L/D Factor A B 7.500 2100.00 2719.42 280.00 1.2950 0.0002174 221.65 EMAP = (4*B)/(3*(D/t)) = (4*221.6515)/(3*280.0) = 1.0555 kgf/cm² Torispherical Head From 50 to 60 Ext. Chart: CS-2 at 93 °C Tampo Superior Elastic Modulus from Chart: CS-2 at 93 °C : 0.204E+07 kgf/cm² Results for Maximum Allowable External Pressure (MAEP): Tca Crown Rad Ro/t Factor A B 7.500 1742.00 232.27 0.0005382 548.64 EMAP = B/(Ro/t) = 548.6428/232.2667 = 2.3621 kgf/cm² Results for Required Thickness (Tca): Tca Crown Rad Ro/t Factor A B 5.012 1742.00 347.60 0.0003596 366.61 EMAP = B/(Ro/t) = 366.6079/347.596 = 1.0547 kgf/cm² Check the requirements of UG-33(a)(1) using P = 1.67 * External Design pressure for this head. Material UNS Number: K02801 Inside Corroded Head Depth [h]: = L - sqrt( ( L - Di / 2) * ( L + Di / 2 - 2 * r ) ) = 1734.5-sqrt((1734.5-2085.0/2)*(1734.5+2085.0/2-2*325.5)) = 521.573 mm M factor for Torispherical Heads ( Corroded ): = (3+sqrt((L+C)/(r+C)))/4 per Appendix 1-4 (b & d) = (3+sqrt((1732.5+ 2.0)/(323.5+ 2.0)))/4 = 1.3271 Required Thickness due to Internal Pressure [tr]: = (P*L*M)/(2*S*E-0.2*P) per Appendix 1-4 (d) = (1.761*1734.5001*1.3271)/(2*1103.82*1.0-0.2*1.761) = 1.8366 + 2.0000 = 3.8366 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = ((2*S*E*t)/(M*L+0.2*t))/1.67 per Appendix 1-4 (d) = ((2*1103.82*1.0*7.5)/(1.3271*1734.5001+0.2*7.5))/1.67 = 4.304 kgf/cm² Maximum Allowable External Pressure [MAEP]: = min( MAEP, MAWP ) = min( 2.36, 4.3044 ) = 2.362 kgf/cm² Thickness requirements per UG-33(a)(1) do not govern the required thickness of this head. Element and Detail Weights: | | Element | Element | Corroded | Corroded | Extra due | From| To | Metal Wgt. | ID Volume |Metal Wgt. | ID Volume | Misc % | | | kg | cm³ | kg | cm³ | kg | --------------------------------------------------------------------------- 10| 20| 33.0537 | ... | 33.0537 | ... | ... | 20| 30| 24.4034 | 27489.4 | 24.4034 | 27489.4 | ... | 30| 40| 496.065 | 2055777 | 392.367 | 2069157 | ... | 40| 50| 899.411 | 6326260 | 710.748 | 6350603 | ... | 50| 60| 364.616 | 1270130 | 288.519 | 1279949 | ... | --------------------------------------------------------------------------- Total | 1817 | 9679657.00 | 1449 | 9727198.00 | 0 | Weight of Details: | | Weight of | X Offset, | Y Offset, | From|Type| Detail | Dtl. Cent. |Dtl. Cent. | Description | | kg | mm | mm | ------------------------------------------------- 40|Nozl| 191.576 | 1345.3 | 1380 | Bocal A1 40|Nozl| 142.163 | 1294.5 | 1490 | Bocal A2 50|Nozl| 124.64 | ... | 697.579 | Bocal B1 ------------------------------------------------- Total Weight of Each Detail Type: Nozzles 458.4 ------------------------------------------- Sum of the Detail Weights 458.4 kg Weight Summation Results: (kg) | Fabricated | Shop Test | Shipping | Erected | Empty | Operating | --------------------------------------------------------------------------------------------- Main Elements | 1817.5 | 1817.5 | 1817.5 | 1817.5 | 1817.5 | 1817.5 | Nozzles | 458.4 | 458.4 | 458.4 | 458.4 | 458.4 | 458.4 | Test Liquid | ... | 9675.3 | ... | ... | ... | ... | --------------------------------------------------------------------------------------------- Totals | 2275.9 | 11951.2 | 2275.9 | 2275.9 | 2275.9 | 2275.9 | Weight Summary: Fabricated Wt. - Bare Weight without Removable Internals 2275.9 kg Shop Test Wt. - Fabricated Weight + Water ( Full ) 11951.2 kg Shipping Wt. - Fab. Weight + removable Intls.+ Shipping App. 2275.9 kg Erected Wt. - Fab. Wt + or - loose items (trays,platforms etc.) 2275.9 kg Ope. Wt. no Liq - Fab. Weight + Internals. + Details + Weights 2275.9 kg Operating Wt. - Empty Weight + Operating Liq. Uncorroded 2275.9 kg Field Test Wt. - Empty Weight + Water (Full) 11951.2 kg Mass of the Upper 1/3 of the Vertical Vessel 1210.1 kg Outside Surface Areas of Elements: | | Surface | From| To | Area | | | cm² | ---------------------------- 10| 20| 1804.08 | 20| 30| 3404.23 | 30| 40| 67977.8 | 40| 50| 122711 | 50| 60| 49380.5 | ---------------------------- Total 245277.234 cm² Element and Detail Weights: | To | Total Ele.| Total. Ele.|Total. Ele.| Total Dtl.| Oper. Wgt. | From| To | Empty Wgt.| Oper. Wgt.|Hydro. Wgt.| Offset Mom.| No Liquid | | | kg | kg | kg | kgf-m. | kg | --------------------------------------------------------------------------- 10| 20| 33.0537 | 33.0537 | 33.0537 | ... | 33.0537 | 20| 30| 24.4034 | 24.4034 | 51.8805 | ... | 24.4034 | 30| 40| 496.065 | 496.065 | 2550.92 | ... | 496.065 | 40| 50| 1233.15 | 1233.15 | 7556.57 | 441.758 | 1233.15 | 50| 60| 489.256 | 489.256 | 1758.82 | ... | 489.256 | --------------------------------------------------------------------------- Cumulative Vessel Weight | | Cumulative Ope | Cumulative | Cumulative | From| To | Wgt. No Liquid | Oper. Wgt. | Hydro. Wgt. | | | kg | kg | kg | ------------------------------------------------------- 10| 20| 2275.93 | 2275.93 | 11951.2 | 20| 30| 2242.87 | 2242.87 | 11918.2 | 30| 40| 2218.47 | 2218.47 | 11866.3 | 40| 50| 1722.41 | 1722.41 | 9315.39 | 50| 60| 489.256 | 489.256 | 1758.82 | ------------------------------------------------------- Note: The cumulative operating weights no liquid in the column above are the cumulative operating weights minus the operating liquid weight minus any weights absent in the empty condition. Cumulative Vessel Moment | | Cumulative | Cumulative |Cumulative | From| To | Empty Mom. | Oper. Mom. |Hydro. Mom.| | | kgf-m. | kgf-m. | kgf-m. | ------------------------------------------------- 10| 20| 441.758 | 441.758 | 441.758 | 20| 30| 441.758 | 441.758 | 441.758 | 30| 40| 441.758 | 441.758 | 441.758 | 40| 50| 441.758 | 441.758 | 441.758 | 50| 60| ... | ... | ... | ------------------------------------------------- Nozzle Flange MAWP Results: Nozzle | Flange Rating | Design | | Grade/ | Equiv. | - - - - - - Max Pressure | Description | Ope. | Ambient | Temp | Class | Group | Press | PVP | 50% | DNV | |kgf/cm² | kgf/cm² | °C | | | kgf/cm² | ------------------------------------------------------------------------------------------------ Bocal A1 | 15.74 | 19.99 | 159 | 150 | GR 1.1 | ... | ... | ... | ... | Bocal A2 | 15.74 | 19.99 | 159 | 150 | GR 1.1 | ... | ... | ... | ... | Bocal B1 | 15.74 | 19.99 | 159 | 150 | GR 1.1 | ... | ... | ... | ... | ------------------------------------------------------------------------------------------------ Min Rating | 15.745 | 19.987 kgf/cm² [for Core Elements] | 0.000 | 0.000 | 0.000 | Selected Method for Derating ANSI B16.5 Flange MAWP: None Selected ANSI Ratings are per ANSI/ASME B16.5 2013 Metric Edition Large Diameter Flange ratings per ANSI B16.47 2011 edition. Conical Reinforcement Calculations, ASME VIII Div. 1, App. 1 Conical Section From 30 To 40 SA-285 C Tampo Conico Elastic Modulus Data from ASME Section II Part D at 93 °C Elastic Modulus of Cone Material 0.202E+07 kgf/cm² at 93 °C Elastic Modulus of Small Cylinder Material 0.202E+07 kgf/cm² at 93 °C Elastic Modulus of Large Cylinder Material 0.202E+07 kgf/cm² at 93 °C Elastic Modulus of Large End Reinforcement 0.202E+07 kgf/cm² at 93 °C Elastic Modulus of Small End Reinforcement 0.202E+07 kgf/cm² at 93 °C Elastic Modulus Data from ASME Section II Part D at 159 °C Elastic Modulus of Cone Material 0.198E+07 kgf/cm² at 159 °C Elastic Modulus of Small Cylinder Material 0.198E+07 kgf/cm² at 159 °C Elastic Modulus of Large Cylinder Material 0.198E+07 kgf/cm² at 159 °C Elastic Modulus of Large End Reinforcement 0.198E+07 kgf/cm² at 159 °C Elastic Modulus of Small End Reinforcement 0.198E+07 kgf/cm² at 159 °C Axial Force on Small End of Cone 0.00 kgf Axial Force on Large End of Cone 0.00 kgf Moment on Small End of Cone 0.00 kgf-m. Moment on Large End of Cone 0.00 kgf-m. Note: Since there are no supports, the forces and moments could not be resolved to the large and small ends of the cone. Note: Both ends of the Cone are Lines of Support Maximum Centroid Reinforcement Distance Large End 22.1853 mm Maximum Centroid Reinforcement Distance Small End 10.3380 mm Note: No ring was found close enough to the large end to be considered. Note: No ring was found close enough to the small end to be considered. Reinforcement Calculations for Cone / Large Cylinder: Required Area of Reinforcement for Large End Under Internal Pressure Large end ratio of pressure to allowable stress 0.00263 Large end max. half apex angle w/o reinforcement 16.882 degrees Large end actual half apex angle 29.640 degrees Intermediate Value [k]: = max( Y / ( Sr * Erl ), 1 ) = max( 0.21906E+10/( 1103.8 * 1984577 ), 1 ) = 1.0000 where [Y] is: = Large End All. Stress * Large End Elastic Modulus (Int. temp.) = 1103.8 * 1984577 = 2190615552.0 kgf/cm²^2 Decay Length, Cone Large End: = 2 * sqrt( RL( ts - ca ) ) = 2 * sqrt( 1042.5( 9.5 - 2.0 ) ) = 176.847 mm Required Area of Reinforcement, Large End, Internal [Arl]: = k*QL*Rl/(Ss*E1))*(1-delta/alpha)*tan(alpha) = 1.0 * 10.5814 * 1042.5/( 1104 * 0.7 ) * ( 1 - 16.88/29.64 ) * 0.569 = 3.497 cm² Force per Length, Cone Large End [QL]: = P( Rl/2 ) - Faxial/(pi(Dl + Tl)) + Moment/(pi(Rl + Tl/2)(Rl + Tl/2)) = 2.03( 1042.5/2 ) - 0.0/(pi(2085.0 + 9.5)) + 0.0/(pi(1042.5 + 9.5/2)(1042.5 + 9.5/2)) = 10.581 kgf/mm Area of Reinforcement Available in Large end Shell [Ael]: = (Ts-t)*sqrt(Rl*Ts)+(Tc-Tr)*sqrt(Rl*Tc/cos(alpha)) = ( 7.5 - 2.7432 ) * SQRT( 1042.5 * 7.5 ) + ( 7.5 - 3.1562 ) * SQRT( 1042.5 * 7.5/0.8692 ) = 8.3261 cm² Summary of Reinforcement area, Large end, Internal Pressure: Area of reinforcement required per App. 1-5(1) 3.4966 cm² Area of reinforcement in shell per App. 1-5(2) 8.3261 cm² Area of reinforcement in stiffening ring 0.0000 cm² Required Area of Reinforcement for Large End Under External Pressure Large end ratio of pressure to allowable stress 0.00136 Large end max. half apex angle w/o reinforcement 3.412 degrees Large end actual half apex angle 29.640 degrees Intermediate Value [k]: = max( Y / ( Srl * Erl ), 1 ) = max( 0.22351E+10/( 1103.8 * 2024842 ), 1 ) = 1.0000 where [Y] is: = Large End All. Stress * Large End Elastic Modulus (Ext. temp.) = 1103.8 * 2024842 = 2235060480.0 kgf/cm²^2 Allowable Stress of Large End Material (Ext. Temp) 1103.8 kgf/cm² Allowable Stress of Cone Material (Ext. Temp) 1103.8 kgf/cm² Required Area of Reinforcement, Large End, External [Arl]: = (k*QL*Rl*tan(angle)/(Ss*E1))*(1-1/4((P*Rl-QL)/QL)*(delta/alpha) = (1.0*5.5367*1050.0*0.569/(1104*0.7))* (1-1/4((1.05*1050.0-5.537)/5.537)*(3.412/29.64) = 4.158 cm² Force per Length, Cone Large End External Pressure [QL]: = Pext( Rl/2 ) + Faxial/(pi(Dl - Tl)) + Moment/(pi(Rl - Tl/2)(Rl - Tl/2)) = 1.055( 1050.0/2 ) + 0.0/(pi(2100.0 - 9.5)) + 0.0/(pi(1050.0 - 9.5/2)(1050.0 - 9.5/2)) = 5.537 kgf/mm Available Area of Reinforcement, Large End, External [Ael]: = 0.55*( Dl*ts )½ * ( ts + tc/cos(alpha) ) = 0.55 * ( 2100.0 * 7.5 )½ * ( 7.5 + 7.5/0.869 ) = 11.1330 cm² Summary of Reinforcement Area, Large End, External Pressure: Area of reinforcement required per App. 1-8(1) 4.1579 cm² Area of reinforcement in shell per App. 1-8(2) 11.1330 cm² Area of reinforcement in stiffening ring 0.0000 cm² Intermediate Results, Large End, External Pressure: Area Available in Cone, Shell, and Reinforcement 143.34 cm² Force per Unit Length on Shell / Cone Junction 14.03 kgf/mm Actual Buckling Stress associated with this Force 154.11 kgf/cm² Material Strain associated with this stress 0.000152 Required Moment of Inertia, Large End, External Pressure [I's]: = A * Dl² * Atl / 10.9 = 0.000152 * 2100.0 * 2100.0 * 143.34/10.9 = 882761.31 mm ^(4) Available Moment of Inertia, Large End, External Pressure: Area Centroid Ar*Ce Dist I Ar*Di² Shl 5.177 0.0000 0.000 -10.5061 0.243 571.406 Con 5.956 -19.6374 -116.964 9.1314 8.026 496.638 Sec 0.000 3.7500 0.000 -14.2561 0.000 0.000 TOT 11.133 -116.964 8.269 1068.044 Centroid of Section -10.5061 Moment of Inertia 18.95 Summary of Large End Inertia Calculations Available Moment of Inertia ( Large End ) * LOW * 18.949 cm**4 Required Moment of Inertia ( Large End ) 88.276 cm**4 Shape Name to Satisfy Area and Inertia Reqmts Bar 6.3 x 63.5 Reinforcement Calculations for Cone / Small Cylinder: Required Area of Reinforcement for Small End under Internal Pressure Small end ratio of pressure to allowable stress 0.00184 Small end max. half apex angle w/o reinforcement 4.000 degrees Small end actual half apex angle 29.640 degrees Intermediate Value [k]: = max( Y / ( Sr * Ers ), 1 ) = max( 0.21906E+10/( 1103.8 * 1984577 ), 1 ) = 1.0000 where [Y] is: = Small End All. Stress * Small End Elastic Modulus (Int. temp.) = 1103.8 * 1984577 = 2190615552.0 kgf/cm²^2 Decay Length, Cone Small End: = 1.4 * sqrt( Rs( ts - ca ) ) = 1.4 * sqrt( 170.5( 9.5 - 0.0 ) ) = 56.345 mm Required Area of Reinforcement, Small End, Internal [Ars]: = k*QS*Rs/(Ss*E1)*(1-delta/alpha)*tan(alpha) = 1.0 * 1.7306 * 170.5/( 1104 * 1.0 ) * ( 1 - 4.0/29.64 ) 0.569 = 0.132 cm² Force per Length, Cone Small End [QS]: = P( Rs/2 ) - Faxial/(pi(Ds + Ts)) + Moment/(pi(Rs + Ts/2)(Rs + Ts/2)) = 2.03( 170.5/2 ) - 0.0/(pi(341.0 + 9.5)) + 0.0/(pi(170.5 + 9.5/2)(170.5 + 9.5/2)) = 1.731 kgf/mm Area of Reinforcement Available in Small End Shell [Aes]: = 0.78(Rs*Ts)½*((Ts-t)+(Tc-Tr)/cos(alpha) )) = 0.78(170.5*9.5)½*(( 9.5- 0.314 )+( 7.5- 0.522 )/0.87) = 5.4039 cm² Summary of Reinforcement Area, Small End, Internal Pressure: Area of reinforcement required per App. 1-5(3) 0.1316 cm² Area of reinforcement in shell per App. 1-5(4) 5.4039 cm² Area of reinforcement in stiffening ring 0.0000 cm² Required Area of Reinforcement for Small End Under External Pressure Allowable Stress of Small End Material (Ext. Temp) 1103.8 kgf/cm² Allowable Stress of Cone Material (Ext. Temp) 1103.8 kgf/cm² Intermediate Value [k]: = max( Y / ( Srs * Ers ), 1 ) = max( 0.22351E+10/( 1103.8 * 2024842 ), 1 ) = 1.0000 where [Y] is: = Small End All. Stress * Small End Elastic Modulus (Ext. temp.) = 1103.8 * 2024842 = 2235060480.0 kgf/cm²^2 Area of Reinforcement Required in Small End Shell [Ars]: = k * QS * Rs * tan(alpha) / ( Ss * E1 ) = (1.0*0.9491*180.0*0.569/(1104*1.0)) = 0.0881 cm² Force per Length, Cone Small End [QS]: = Pext( Rs/2 ) + Faxial/(pi(Ds - Ts)) + Moment/(pi(Rs - Ts/2)(Rs - Ts/2)) = 1.055( 180.0/2 ) + 0.0/(pi(360.0 - 9.5)) + 0.0/(pi(180.0 - 9.5/2)(180.0 - 9.5/2)) = 0.949 kgf/mm Area of Reinforcement Available in Small End Shell [Aes]: = 0.55*(Ds*ts)½*[(ts-t)+(tc-tr)/cos(alpha))] = 0.55*(360.0*9.5)½*[(9.5-1.068)+(7.5-1.95)/0.869] = 4.7661 cm² Summary of Reinforcement Area, Small End, External Pressure: Area of reinforcement required per App. 1-8(3) 0.0881 cm² Area of reinforcement in shell per App. 1-8(4) 4.7661 cm² Area of reinforcement in stiffening ring 0.0000 cm² Intermediate Results, Small End, External Pressure: Area Available in Cone, Shell, and Reinforcement 80.27 cm² Force per Unit Length on Shell / Cone Junction 20.49 kgf/mm Actual Buckling Stress associated with this Force 68.93 kgf/cm² Material Strain associated with this stress 0.000068 Required Moment of Inertia, Small End, External Pressure [I's]: = A * Ds² * Ats / 10.9 = 0.681E-04 * 360.0 * 360.0 * 80.27/10.9 = 6497.70 mm ^(4) Available Moment of Inertia, Small End, External Pressure: Area Centroid Ar*Ce Dist I Ar*Di² Shl 3.056 0.0000 0.000 4.3556 0.230 57.969 Con 2.776 9.1508 25.398 -4.7952 0.947 63.819 Sec 0.000 4.7500 0.000 -0.3944 0.000 0.000 TOT 5.831 25.398 1.177 121.788 Centroid of Section 4.3556 Moment of Inertia 2.39 Summary of Small End Inertia Calculations Available Moment of Inertia ( Small End ) 0.2395E+01 cm**4 Required Moment of Inertia ( Small End ) 0.6498E+00 cm**4 Note: The following calculations are only required per 1-5(g)(1) and do include external loads due to wind or seismic. These discontinuity stresses are computed at the shell/cone junction and do not include effects of local stiffening from a junction ring. Results for Discontinuity Stresses per Bednar p. 236 2nd Edition Stress Type Stress Allowable Location Tensile Stress 66.82 3311.46 Small Cyl. Long. Compres. Stress -28.94 -3311.46 Small Cyl. Long. Membrane Stress 72.94 -1655.73 Small End Tang. Tensile Stress 104.42 3311.46 Cone Longitudinal Compres. Stress -49.22 -3311.46 Cone Longitudinal Compres Stress 90.26 -1655.73 Cone Tangential Tensile Stress 1213.38 3311.46 Large Cyl. Long. Compres. Stress -930.20 -3311.46 Large Cyl. Long. Membrane Stress -306.77 -1655.73 Large End Tang. Tensile Stress 1234.70 3311.46 Cone Longitudinal Compres. Stress -908.88 -3311.46 Cone Longitudinal Compres Stress -264.14 -1655.73 Cone Tangential Note: An asterisk (*) denotes that this stress was not applicable for this combination of loads. Warning - Cone Large End Not Adequately Reinforced! Maximum Allowable Pressure Calculations for Cone to Shell Junction: Pressure Pressure Reason Case kgf/cm² for Failure at this Pressure ------------------------------------------------------------------------------- MAWP 3.852 Large End Reinforcement MAPnc 6.111 Large End Reinforcement These pressures were determined by iteration. Nozzle Calculation Summary: Description | MAWP | Ext | MAPNC | UG-45 [tr] | Weld | Areas or | | kgf/cm² | | kgf/cm² | | mm | Path | Stresses | ---------------------------------------------------------------------------------------------- Bocal A1 | 5.53 | Failed | ... | OK | 3.92 | OK | Failed | Bocal A1 | 4.32 | OK | ... | OK | 3.92 | OK | Failed | Bocal A2 | 5.53 | Failed | ... | OK | 3.92 | OK | Failed | Bocal A2 | 4.39 | OK | ... | OK | 3.92 | OK | Failed | Bocal B1 | 5.03 | OK | ... | OK | 4.12 | OK | Passed | ---------------------------------------------------------------------------------------------- MAWP Summary: Minimum MAWP Nozzles : 4.316 Nozzle : Bocal A1 Minimum MAWP Shells/Flanges : 3.852 Element : Tampo Conico Minimum MAPnc Shells/Flanges : 6.095 Element : Tampo Conico --------------------------------------------------------------------- Computed Vessel M.A.W.P. : 3.852 kgf/cm² Note: MAWPs (Internal Case) shown above are at the High Point. Check the Spatial Relationship between the Nozzles From Node | Nozzle Description | Y Coordinate | Layout Angle | Dia. Limit | | | mm | deg | mm | ------------------------------------------------------------------------------ 40 | Bocal A1 | 3216.350 | -46.181 | 1219.200 | 40 | Bocal A2 | 3326.350 | 43.819 | 1016.000 | 50 | Bocal B1 | 0.000 | 0.000 | 1727.200 | The nozzle spacing is computed by the following: = Sqrt( ll² + lc² ) where ll - Arc length along the inside vessel surface in the long. direction. lc - Arc length along the inside vessel surface in the circ. direction If any interferences/violations are found, they will be noted below. No interference violations have been detected ! Input, Nozzle Desc: Bocal A1 From: 40 Pressure for Reinforcement Calculations P 2.030 kgf/cm² Temperature for Internal Pressure Temp 159 °C Design External Pressure Pext 1.05 kgf/cm² Temperature for External Pressure Tempex 93 °C Shell Material SA-285 C Shell Allowable Stress at Temperature Sv 1103.82 kgf/cm² Shell Allowable Stress At Ambient Sva 1103.82 kgf/cm² Inside Diameter of Cylindrical Shell D 2081.00 mm Design Length of Section L 2063.1912 mm Shell Finished (Minimum) Thickness t 9.5000 mm Shell Internal Corrosion Allowance c 2.0000 mm Shell External Corrosion Allowance co 0.0000 mm Distance from Cylinder/Cone Centerline L1 727.0000 mm Distance from Bottom/Left Tangent 3216.35 mm User Entered Minimum Design Metal Temperature -28.89 °C Type of Element Connected to the Shell : Nozzle Material SA-285 C Material UNS Number K02801 Material Specification/Type Plate Allowable Stress at Temperature Sn 1103.82 kgf/cm² Allowable Stress At Ambient Sna 1103.82 kgf/cm² Diameter Basis (for tr calc only) ID Layout Angle -46.18 deg Diameter 24.0000 in. Size and Thickness Basis Actual Actual Thickness tn 9.5000 mm Flange Material SA-105 Flange Type FFSo Corrosion Allowance can 0.0000 mm Joint Efficiency of Shell Seam at Nozzle E1 1.00 Joint Efficiency of Nozzle Neck En 1.00 Outside Projection ho 492.3910 mm Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm Groove weld depth between Nozzle and Vessel Wgnv 9.5000 mm Inside Projection h 0.0000 mm Weld leg size, Inside Element to Shell Wi 0.0000 mm Class of attached Flange 150 Grade of attached Flange GR 1.1 The Pressure Design option was Design Pressure + static head. Nozzle Sketch (may not represent actual weld type/configuration) Insert/Set-in Nozzle No Pad, no Inside projection Note : Checking Nozzle 90 degrees to the Longitudinal axis. Reinforcement CALCULATION, Description: Bocal A1 ASME Code, Section VIII, Div. 1, 2017, UG-37 to UG-45 Actual Inside Diameter Used in Calculation 24.000 in. Actual Thickness Used in Calculation 0.374 in. Nozzle input data check completed without errors. Reqd thk per UG-37(a) of Cylindrical Shell, Tr [Int. Press] = (P*R)/(Sv*E-0.6*P) per UG-27 (c)(1) = (2.03*1042.5)/(1104*1.0-0.6*2.03) = 1.9193 mm Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press] = (P*R)/(Sn*E-0.6*P) per UG-27 (c)(1) = (2.03*304.8)/(1104*1.0-0.6*2.03) = 0.5612 mm Required Nozzle thickness under External Pressure per UG-28 : 1.8146 mm UG-40, Limits of Reinforcement : [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl 2073.2556 mm Parallel to Vessel Wall, opening length d 1036.6278 mm Normal to Vessel Wall (Thickness Limit), no pad Tlnp 18.7500 mm Results of Nozzle Reinforcement Area Calculations: (cm²) AREA AVAILABLE, A1 to A5 | Design| External| Mapnc| --------------------------------------------------------------- Area Required Ar | 9.948| 34.652| NA| Area in Shell A1 | 67.799| 8.444| NA| Area in Nozzle Wall A2 | 3.661| 3.148| NA| Area in Inward Nozzle A3 | 0.000| 0.000| NA| Area in Welds A41+A42+A43 | 1.000| 1.000| NA| Area in Element A5 | 0.000| 0.000| NA| TOTAL AREA AVAILABLE Atot | 72.460| 12.592| NA| Additional Area Needed, Ar - Atot 22.060 cm² The External Pressure Case Governs the Analysis. Nozzle Angle Used in Area Calculations 36.02 Degs. The area available without a pad is Insufficient. RECOMMENDATION: Add a Reinforcing Pad. SELECTION OF POSSIBLE REINFORCING PADS: Diameter Thickness Based on Shell or Nozzle Thickness: 1301.1462 9.5000 mm Area Required [A]: = 0.5( d * tr*F + 2 * tn * tr*F(1-fr1) ) per UG-37(d) = 0.5(1036.6278*6.6854*1+2*9.5*6.6854*1(1-1.0)) = 34.652 cm² Reinforcement Areas per Figure UG-37.1 Area Available in Shell [A1]: = d( E1*t - F*tr ) - 2 * tn( E1*t - F*tr ) * ( 1 - fr1 ) = 1036.628( 1.0 * 7.5 - 1.0 * 6.685 ) - 2 * 9.5 ( 1.0 * 7.5 - 1.0 * 6.6854 ) * ( 1 - 1.0 ) = 8.444 cm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 * tlnp )( tn - trn )fr2/sin( alpha3 ) = ( 2 * 18.75 )( 9.5 - 1.81 )1.0/sin( 66.3 ) = 3.148 cm² Note: See ASME VIII-1 2011(a) Appendix L, L-7.7.7(b) for more information. Area Available in Inward Weld + Outward Weld [A41 + A43]: = Wo² * fr2 + ( Wi-can/0.707 )² * fr2 = 10.0² * 1.0 + ( 0.0 )² * 1.0 = 1.000 cm² Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle Neck to Flange Weld, Curve: A ---------------------------------------------------------------------- Govrn. thk, tg = 9.5, tr = 0.561, c = 0.0 mm, E* = 1.0 Thickness Ratio = tr * (E*)/(tg - c) = 0.059, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -104 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: A ---------------------------------------------------------------------- Govrn. thk, tg = 9.5, tr = 1.919, c = 2.0 mm, E* = 1.0 Thickness Ratio = tr * (E*)/(tg - c) = 0.256, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -104 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C Governing MDMT of all the sub-joints of this Junction : -104 °C ANSI Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ANSI B16.5/47 flanges per UCS-66(c) -29 °C Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -104 °C Flange MDMT with Temp reduction per UCS-66(b)(1)(-c) -104 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 2.03/19.99 = 0.102 Note: Using the min value from (b)(1)(-b) and (b)(1)(-c) above as the computed nozzle flange MDMT. Warning - Appendices 1-7 and 1-10 only apply to radial nozzles and this is a "hillside" nozzle. (see U-2(g)). UG-40, Limits of Reinforcement : [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl 1554.9417 mm Parallel to Vessel Wall, opening length d 777.4708 mm Normal to Vessel Wall (Thickness Limit), no pad Tlnp 18.7500 mm Reinforcement Areas for Large Nozzle (Per App 1-7(a)): (cm² ) AREA AVAILABLE, A1 to A6 | No Pad | With Pad | --------------------------------------------------------------- Area Required [External Pressure] AR | 23.102 | 23.102 | Area Available in Shell A1 | 4.222 | 4.222 | Area Available in Nozzle Wall A2 | 3.148 | 3.148 | Area Available in Inward Nozzle A3 | 0.000 | 0.000 | Area Available in Welds A4 | 1.000 | 1.000 | Area Available in Pad A5 | 0.000 | 0.000 | Area Available in Hub A6 | 0.000 | 0.000 | TOTAL AREA AVAILABLE Atot | 8.370 | 8.370 | The area available without a pad is Insufficient. RECOMMENDATION: Add a Reinforcing Pad. Note: The Nozzle does not fall within the scope of the diameter requirements of App. 1-7(b). Therefore, the Membrane and Bending stress checks are not required. Weld Size Calculations, Description: Bocal A1 Intermediate Calc. for nozzle/shell Welds Tmin 7.5000 mm Results Per UW-16.1: Required Thickness Actual Thickness Nozzle Weld 5.2500 = 0.7 * tmin. 7.0700 = 0.7 * Wo mm Weld Strength and Weld Loads per UG-41.1, Sketch (a) or (b) Weld Load [W]: = max( 0, (A-A1+2*tn*fr1*(E1*t-tr))Sv) = max( 0, (34.6515 - 8.444 + 2 * 9.5 * 1.0 * (1.0 * 7.5 - 6.6854 ) )1104) = 29099.19 kgf Note: F is always set to 1.0 throughout the calculation. Weld Load [W1]: = (A2+A5+A4-(Wi-Can/.707)²*fr2)*Sv = ( 3.1477 + 0.0 + 1. - 0.0 * 1.0 ) * 1104 = 4578.30 kgf Weld Load [W2]: = (A2 + A3 + A4 + (2 * tn * t * fr1)) * Sv = ( 3.1477 + 0.0 + 1. + ( 1.425 ) ) * 1104 = 6151.24 kgf Weld Load [W3]: = (A2+A3+A4+A5+(2*tn*t*fr1))*S = ( 3.1477 + 0.0 + 1. + 0.0 + ( 1.425 ) ) * 1104 = 6151.24 kgf Strength of Connection Elements for Failure Path Analysis Shear, Outward Nozzle Weld [Sonw]: = (pi/2) * Dlo * Wo * 0.49 * Snw = ( 3.1416/2.0 ) * 1068.9375 * 10.0 * 0.49 * 1104 = 90817. kgf Shear, Nozzle Wall [Snw]: = (pi *( Dlr + Dlo )/4 ) * ( Thk - Can ) * 0.7 * Sn = (3.1416 * 526.3913) * ( 9.5 - 0.0 ) * 0.7 * 1104 = 121389. kgf Tension, Shell Groove Weld [Tngw]: = (pi/2) * Dlo * (Wgnvi-Cas) * 0.74 * Sng = ( 3.1416/2.0 ) * 1068.9375 * ( 9.5 - 2.0 ) * 0.74 * 1104 = 102864. kgf Strength of Failure Paths: PATH11 = ( SONW + SNW ) = ( 90817 + 121389 ) = 212205 kgf PATH22 = ( Sonw + Tpgw + Tngw + Sinw ) = ( 90817 + 0 + 102864 + 0 ) = 193681 kgf PATH33 = ( Sonw + Tngw + Sinw ) = ( 90817 + 102864 + 0 ) = 193681 kgf Summary of Failure Path Calculations: Path 1-1 = 212205 kgf, must exceed W = 29099 kgf or W1 = 4578 kgf Path 2-2 = 193680 kgf, must exceed W = 29099 kgf or W2 = 6151 kgf Path 3-3 = 193680 kgf, must exceed W = 29099 kgf or W3 = 6151 kgf Maximum Allowable Pressure for this Nozzle at this Location: Converged Max. Allow. Pressure in Operating case 5.535 kgf/cm² Note: The MAWP of this junction was limited by the parent Shell/Head. Nozzle is NOT O.K. for the Ext. Pressure 1.055 kgf/cm² Note : Checking Nozzle in plane parallel to the vessel axis. Reinforcement CALCULATION, Description: Bocal A1 ASME Code, Section VIII, Div. 1, 2017, UG-37 to UG-45 Actual Inside Diameter Used in Calculation 24.000 in. Actual Thickness Used in Calculation 0.374 in. Nozzle input data check completed without errors. Reqd thk per UG-37(a) of Cylindrical Shell, Tr [Int. Press] = (P*R)/(Sv*E-0.6*P) per UG-27 (c)(1) = (2.03*1042.5)/(1104*1.0-0.6*2.03) = 1.9193 mm Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press] = (P*R)/(Sn*E-0.6*P) per UG-27 (c)(1) = (2.03*304.8)/(1104*1.0-0.6*2.03) = 0.5612 mm Required Nozzle thickness under External Pressure per UG-28 : 1.8146 mm UG-40, Limits of Reinforcement : [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl 1219.2000 mm Parallel to Vessel Wall, opening length d 609.6000 mm Normal to Vessel Wall (Thickness Limit), no pad Tlnp 18.7500 mm Results of Nozzle Reinforcement Area Calculations: (cm²) AREA AVAILABLE, A1 to A5 | Design| External| Mapnc| --------------------------------------------------------------- Area Required Ar | 11.700| 20.377| NA| Area in Shell A1 | 34.020| 4.966| NA| Area in Nozzle Wall A2 | 3.352| 2.882| NA| Area in Inward Nozzle A3 | 0.000| 0.000| NA| Area in Welds A41+A42+A43 | 1.000| 1.000| NA| Area in Element A5 | 0.000| 0.000| NA| TOTAL AREA AVAILABLE Atot | 38.372| 8.848| NA| Additional Area Needed, Ar - Atot 11.530 cm² The External Pressure Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 Degs. The area available without a pad is Insufficient. RECOMMENDATION: Add a Reinforcing Pad. SELECTION OF POSSIBLE REINFORCING PADS: Diameter Thickness Based on Shell or Nozzle Thickness: 749.9641 9.5000 mm Area Required [A]: = 0.5( d * tr*F + 2 * tn * tr*F(1-fr1) ) per UG-37(d) = 0.5(609.6*6.6854*1+2*9.5*6.6854*1(1-1.0)) = 20.377 cm² Reinforcement Areas per Figure UG-37.1 Area Available in Shell [A1]: = d( E1*t - F*tr ) - 2 * tn( E1*t - F*tr ) * ( 1 - fr1 ) = 609.6( 1.0 * 7.5 - 1.0 * 6.685 ) - 2 * 9.5 ( 1.0 * 7.5 - 1.0 * 6.6854 ) * ( 1 - 1.0 ) = 4.966 cm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 * tlnp )( tn - trn )fr2 = ( 2 * 18.75 )( 9.5 - 1.81 )1.0 = 2.882 cm² Area Available in Inward Weld + Outward Weld [A41 + A43]: = Wo² * fr2 + ( Wi-can/0.707 )² * fr2 = 10.0² * 1.0 + ( 0.0 )² * 1.0 = 1.000 cm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 1.8146 mm Wall Thickness per UG16(b), tr16b = 3.5000 mm Wall Thickness, shell/head, internal pressure trb1 = 3.9193 mm Wall Thickness tb1 = max(trb1, tr16b) = 3.9193 mm Wall Thickness, shell/head, external pressure trb2 = 2.9966 mm Wall Thickness tb2 = max(trb2, tr16b) = 3.5000 mm Wall Thickness per table UG-45 tb3 = 8.3312 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 8.331, max( 3.9193, 3.5 ) ] = 3.9193 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 1.8146, 3.9193 ) = 3.9193 mm Available Nozzle Neck Thickness = 9.5000 mm --> OK Weld Size Calculations, Description: Bocal A1 Intermediate Calc. for nozzle/shell Welds Tmin 7.5000 mm Results Per UW-16.1: Required Thickness Actual Thickness Nozzle Weld 5.2500 = 0.7 * tmin. 7.0700 = 0.7 * Wo mm Weld Strength and Weld Loads per UG-41.1, Sketch (a) or (b) Weld Load [W]: = max( 0, (A-A1+2*tn*fr1*(E1*t-tr))Sv) = max( 0, (20.3772 - 4.9656 + 2 * 9.5 * 1.0 * (1.0 * 7.5 - 6.6854 ) )1104) = 17182.46 kgf Note: F is always set to 1.0 throughout the calculation. Weld Load [W1]: = (A2+A5+A4-(Wi-Can/.707)²*fr2)*Sv = ( 2.882 + 0.0 + 1. - 0.0 * 1.0 ) * 1104 = 4285.05 kgf Weld Load [W2]: = (A2 + A3 + A4 + (2 * tn * t * fr1)) * Sv = ( 2.882 + 0.0 + 1. + ( 1.425 ) ) * 1104 = 5857.99 kgf Weld Load [W3]: = (A2+A3+A4+A5+(2*tn*t*fr1))*S = ( 2.882 + 0.0 + 1. + 0.0 + ( 1.425 ) ) * 1104 = 5857.99 kgf Strength of Connection Elements for Failure Path Analysis Shear, Outward Nozzle Weld [Sonw]: = (pi/2) * Dlo * Wo * 0.49 * Snw = ( 3.1416/2.0 ) * 628.6 * 10.0 * 0.49 * 1104 = 53406. kgf Shear, Nozzle Wall [Snw]: = (pi *( Dlr + Dlo )/4 ) * ( Thk - Can ) * 0.7 * Sn = (3.1416 * 309.55) * ( 9.5 - 0.0 ) * 0.7 * 1104 = 71384. kgf Tension, Shell Groove Weld [Tngw]: = (pi/2) * Dlo * (Wgnvi-Cas) * 0.74 * Sng = ( 3.1416/2.0 ) * 628.6 * ( 9.5 - 2.0 ) * 0.74 * 1104 = 60490. kgf Strength of Failure Paths: PATH11 = ( SONW + SNW ) = ( 53406 + 71384 ) = 124790 kgf PATH22 = ( Sonw + Tpgw + Tngw + Sinw ) = ( 53406 + 0 + 60490 + 0 ) = 113896 kgf PATH33 = ( Sonw + Tngw + Sinw ) = ( 53406 + 60490 + 0 ) = 113896 kgf Summary of Failure Path Calculations: Path 1-1 = 124789 kgf, must exceed W = 17182 kgf or W1 = 4285 kgf Path 2-2 = 113895 kgf, must exceed W = 17182 kgf or W2 = 5857 kgf Path 3-3 = 113895 kgf, must exceed W = 17182 kgf or W3 = 5857 kgf Maximum Allowable Pressure for this Nozzle at this Location: Converged Max. Allow. Pressure in Operating case 4.316 kgf/cm² Nozzle is NOT O.K. for the Ext. Pressure 1.055 kgf/cm² The Drop for this Nozzle is : 744.3866 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 1249.9999 mm Percent Elongation Calculations: % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 1.534 % Input, Nozzle Desc: Bocal A2 From: 40 Pressure for Reinforcement Calculations P 2.030 kgf/cm² Temperature for Internal Pressure Temp 159 °C Design External Pressure Pext 1.05 kgf/cm² Temperature for External Pressure Tempex 93 °C Shell Material SA-285 C Shell Allowable Stress at Temperature Sv 1103.82 kgf/cm² Shell Allowable Stress At Ambient Sva 1103.82 kgf/cm² Inside Diameter of Cylindrical Shell D 2081.00 mm Design Length of Section L 2063.1912 mm Shell Finished (Minimum) Thickness t 9.5000 mm Shell Internal Corrosion Allowance c 2.0000 mm Shell External Corrosion Allowance co 0.0000 mm Distance from Cylinder/Cone Centerline L1 727.0000 mm Distance from Bottom/Left Tangent 3326.35 mm User Entered Minimum Design Metal Temperature -28.89 °C Type of Element Connected to the Shell : Nozzle Material SA-285 C Material UNS Number K02801 Material Specification/Type Plate Allowable Stress at Temperature Sn 1103.82 kgf/cm² Allowable Stress At Ambient Sna 1103.82 kgf/cm² Diameter Basis (for tr calc only) ID Layout Angle 43.82 deg Diameter 20.0000 in. Size and Thickness Basis Actual Actual Thickness tn 9.5000 mm Flange Material SA-105 Flange Type FFSo Corrosion Allowance can 0.0000 mm Joint Efficiency of Shell Seam at Nozzle E1 1.00 Joint Efficiency of Nozzle Neck En 1.00 Outside Projection ho 442.3910 mm Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm Groove weld depth between Nozzle and Vessel Wgnv 9.5000 mm Inside Projection h 0.0000 mm Weld leg size, Inside Element to Shell Wi 0.0000 mm Class of attached Flange 150 Grade of attached Flange GR 1.1 The Pressure Design option was Design Pressure + static head. Nozzle Sketch (may not represent actual weld type/configuration) Insert/Set-in Nozzle No Pad, no Inside projection Note : Checking Nozzle 90 degrees to the Longitudinal axis. Reinforcement CALCULATION, Description: Bocal A2 ASME Code, Section VIII, Div. 1, 2017, UG-37 to UG-45 Actual Inside Diameter Used in Calculation 20.000 in. Actual Thickness Used in Calculation 0.374 in. Nozzle input data check completed without errors. Reqd thk per UG-37(a) of Cylindrical Shell, Tr [Int. Press] = (P*R)/(Sv*E-0.6*P) per UG-27 (c)(1) = (2.03*1042.5)/(1104*1.0-0.6*2.03) = 1.9193 mm Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press] = (P*R)/(Sn*E-0.6*P) per UG-27 (c)(1) = (2.03*254.0)/(1104*1.0-0.6*2.03) = 0.4676 mm Required Nozzle thickness under External Pressure per UG-28 : 1.5662 mm UG-40, Limits of Reinforcement : [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl 1563.5519 mm Parallel to Vessel Wall, opening length d 781.7759 mm Normal to Vessel Wall (Thickness Limit), no pad Tlnp 18.7500 mm Results of Nozzle Reinforcement Area Calculations: (cm²) AREA AVAILABLE, A1 to A5 | Design| External| Mapnc| --------------------------------------------------------------- Area Required Ar | 7.502| 26.133| NA| Area in Shell A1 | 51.131| 6.368| NA| Area in Nozzle Wall A2 | 3.794| 3.332| NA| Area in Inward Nozzle A3 | 0.000| 0.000| NA| Area in Welds A41+A42+A43 | 1.000| 1.000| NA| Area in Element A5 | 0.000| 0.000| NA| TOTAL AREA AVAILABLE Atot | 55.925| 10.701| NA| Additional Area Needed, Ar - Atot 15.432 cm² The External Pressure Case Governs the Analysis. Nozzle Angle Used in Area Calculations 40.53 Degs. The area available without a pad is Insufficient. RECOMMENDATION: Add a Reinforcing Pad. SELECTION OF POSSIBLE REINFORCING PADS: Diameter Thickness Based on Shell or Nozzle Thickness: 973.4582 9.5000 mm Area Required [A]: = 0.5( d * tr*F + 2 * tn * tr*F(1-fr1) ) per UG-37(d) = 0.5(781.7759*6.6854*1+2*9.5*6.6854*1(1-1.0)) = 26.133 cm² Reinforcement Areas per Figure UG-37.1 Area Available in Shell [A1]: = d( E1*t - F*tr ) - 2 * tn( E1*t - F*tr ) * ( 1 - fr1 ) = 781.776( 1.0 * 7.5 - 1.0 * 6.685 ) - 2 * 9.5 ( 1.0 * 7.5 - 1.0 * 6.6854 ) * ( 1 - 1.0 ) = 6.368 cm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 * tlnp )( tn - trn )fr2/sin( alpha3 ) = ( 2 * 18.75 )( 9.5 - 1.57 )1.0/sin( 63.2 ) = 3.332 cm² Note: See ASME VIII-1 2011(a) Appendix L, L-7.7.7(b) for more information. Area Available in Inward Weld + Outward Weld [A41 + A43]: = Wo² * fr2 + ( Wi-can/0.707 )² * fr2 = 10.0² * 1.0 + ( 0.0 )² * 1.0 = 1.000 cm² Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle Neck to Flange Weld, Curve: A ---------------------------------------------------------------------- Govrn. thk, tg = 9.5, tr = 0.468, c = 0.0 mm, E* = 1.0 Thickness Ratio = tr * (E*)/(tg - c) = 0.049, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -104 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: A ---------------------------------------------------------------------- Govrn. thk, tg = 9.5, tr = 1.919, c = 2.0 mm, E* = 1.0 Thickness Ratio = tr * (E*)/(tg - c) = 0.256, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve A -8 °C Min Metal Temp. at Required thickness (UCS 66.1) -104 °C Min Metal Temp. w/o impact per UG-20(f) -29 °C Governing MDMT of all the sub-joints of this Junction : -104 °C ANSI Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ANSI B16.5/47 flanges per UCS-66(c) -29 °C Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -104 °C Flange MDMT with Temp reduction per UCS-66(b)(1)(-c) -104 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 2.03/19.99 = 0.102 Note: Using the min value from (b)(1)(-b) and (b)(1)(-c) above as the computed nozzle flange MDMT. Warning - Appendices 1-7 and 1-10 only apply to radial nozzles and this is a "hillside" nozzle. (see U-2(g)). UG-40, Limits of Reinforcement : [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl 1172.6638 mm Parallel to Vessel Wall, opening length d 586.3319 mm Normal to Vessel Wall (Thickness Limit), no pad Tlnp 18.7500 mm Reinforcement Areas for Large Nozzle (Per App 1-7(a)): (cm² ) AREA AVAILABLE, A1 to A6 | No Pad | With Pad | --------------------------------------------------------------- Area Required [External Pressure] AR | 17.423 | 17.423 | Area Available in Shell A1 | 3.184 | 3.184 | Area Available in Nozzle Wall A2 | 3.332 | 3.332 | Area Available in Inward Nozzle A3 | 0.000 | 0.000 | Area Available in Welds A4 | 1.000 | 1.000 | Area Available in Pad A5 | 0.000 | 0.000 | Area Available in Hub A6 | 0.000 | 0.000 | TOTAL AREA AVAILABLE Atot | 7.516 | 7.516 | The area available without a pad is Insufficient. RECOMMENDATION: Add a Reinforcing Pad. Note: The Nozzle does not fall within the scope of the diameter requirements of App. 1-7(b). Therefore, the Membrane and Bending stress checks are not required. Weld Size Calculations, Description: Bocal A2 Intermediate Calc. for nozzle/shell Welds Tmin 7.5000 mm Results Per UW-16.1: Required Thickness Actual Thickness Nozzle Weld 5.2500 = 0.7 * tmin. 7.0700 = 0.7 * Wo mm Weld Strength and Weld Loads per UG-41.1, Sketch (a) or (b) Weld Load [W]: = max( 0, (A-A1+2*tn*fr1*(E1*t-tr))Sv) = max( 0, (26.1326 - 6.3681 + 2 * 9.5 * 1.0 * (1.0 * 7.5 - 6.6854 ) )1104) = 21987.23 kgf Note: F is always set to 1.0 throughout the calculation. Weld Load [W1]: = (A2+A5+A4-(Wi-Can/.707)²*fr2)*Sv = ( 3.3324 + 0.0 + 1. - 0.0 * 1.0 ) * 1104 = 4782.22 kgf Weld Load [W2]: = (A2 + A3 + A4 + (2 * tn * t * fr1)) * Sv = ( 3.3324 + 0.0 + 1. + ( 1.425 ) ) * 1104 = 6355.16 kgf Weld Load [W3]: = (A2+A3+A4+A5+(2*tn*t*fr1))*S = ( 3.3324 + 0.0 + 1. + 0.0 + ( 1.425 ) ) * 1104 = 6355.16 kgf Strength of Connection Elements for Failure Path Analysis Shear, Outward Nozzle Weld [Sonw]: = (pi/2) * Dlo * Wo * 0.49 * Snw = ( 3.1416/2.0 ) * 811.0156 * 10.0 * 0.49 * 1104 = 68904. kgf Shear, Nozzle Wall [Snw]: = (pi *( Dlr + Dlo )/4 ) * ( Thk - Can ) * 0.7 * Sn = (3.1416 * 398.1979) * ( 9.5 - 0.0 ) * 0.7 * 1104 = 91827. kgf Tension, Shell Groove Weld [Tngw]: = (pi/2) * Dlo * (Wgnvi-Cas) * 0.74 * Sng = ( 3.1416/2.0 ) * 811.0156 * ( 9.5 - 2.0 ) * 0.74 * 1104 = 78044. kgf Strength of Failure Paths: PATH11 = ( SONW + SNW ) = ( 68904 + 91827 ) = 160730 kgf PATH22 = ( Sonw + Tpgw + Tngw + Sinw ) = ( 68904 + 0 + 78044 + 0 ) = 146948 kgf PATH33 = ( Sonw + Tngw + Sinw ) = ( 68904 + 78044 + 0 ) = 146948 kgf Summary of Failure Path Calculations: Path 1-1 = 160730 kgf, must exceed W = 21987 kgf or W1 = 4782 kgf Path 2-2 = 146947 kgf, must exceed W = 21987 kgf or W2 = 6355 kgf Path 3-3 = 146947 kgf, must exceed W = 21987 kgf or W3 = 6355 kgf Maximum Allowable Pressure for this Nozzle at this Location: Converged Max. Allow. Pressure in Operating case 5.535 kgf/cm² Note: The MAWP of this junction was limited by the parent Shell/Head. Nozzle is NOT O.K. for the Ext. Pressure 1.055 kgf/cm² Note : Checking Nozzle in plane parallel to the vessel axis. Reinforcement CALCULATION, Description: Bocal A2 ASME Code, Section VIII, Div. 1, 2017, UG-37 to UG-45 Actual Inside Diameter Used in Calculation 20.000 in. Actual Thickness Used in Calculation 0.374 in. Nozzle input data check completed without errors. Reqd thk per UG-37(a) of Cylindrical Shell, Tr [Int. Press] = (P*R)/(Sv*E-0.6*P) per UG-27 (c)(1) = (2.03*1042.5)/(1104*1.0-0.6*2.03) = 1.9193 mm Reqd thk per UG-37(a) of Nozzle Wall, Trn [Int. Press] = (P*R)/(Sn*E-0.6*P) per UG-27 (c)(1) = (2.03*254.0)/(1104*1.0-0.6*2.03) = 0.4676 mm Required Nozzle thickness under External Pressure per UG-28 : 1.5662 mm UG-40, Limits of Reinforcement : [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl 1016.0000 mm Parallel to Vessel Wall, opening length d 508.0000 mm Normal to Vessel Wall (Thickness Limit), no pad Tlnp 18.7500 mm Results of Nozzle Reinforcement Area Calculations: (cm²) AREA AVAILABLE, A1 to A5 | Design| External| Mapnc| --------------------------------------------------------------- Area Required Ar | 9.750| 16.981| NA| Area in Shell A1 | 28.350| 4.138| NA| Area in Nozzle Wall A2 | 3.387| 2.975| NA| Area in Inward Nozzle A3 | 0.000| 0.000| NA| Area in Welds A41+A42+A43 | 1.000| 1.000| NA| Area in Element A5 | 0.000| 0.000| NA| TOTAL AREA AVAILABLE Atot | 32.737| 8.113| NA| Additional Area Needed, Ar - Atot 8.868 cm² The External Pressure Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 Degs. The area available without a pad is Insufficient. RECOMMENDATION: Add a Reinforcing Pad. SELECTION OF POSSIBLE REINFORCING PADS: Diameter Thickness Based on Shell or Nozzle Thickness: 620.3458 9.5000 mm Area Required [A]: = 0.5( d * tr*F + 2 * tn * tr*F(1-fr1) ) per UG-37(d) = 0.5(508.0*6.6854*1+2*9.5*6.6854*1(1-1.0)) = 16.981 cm² Reinforcement Areas per Figure UG-37.1 Area Available in Shell [A1]: = d( E1*t - F*tr ) - 2 * tn( E1*t - F*tr ) * ( 1 - fr1 ) = 508.0( 1.0 * 7.5 - 1.0 * 6.685 ) - 2 * 9.5 ( 1.0 * 7.5 - 1.0 * 6.6854 ) * ( 1 - 1.0 ) = 4.138 cm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 * tlnp )( tn - trn )fr2 = ( 2 * 18.75 )( 9.5 - 1.57 )1.0 = 2.975 cm² Area Available in Inward Weld + Outward Weld [A41 + A43]: = Wo² * fr2 + ( Wi-can/0.707 )² * fr2 = 10.0² * 1.0 + ( 0.0 )² * 1.0 = 1.000 cm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 1.5662 mm Wall Thickness per UG16(b), tr16b = 3.5000 mm Wall Thickness, shell/head, internal pressure trb1 = 3.9193 mm Wall Thickness tb1 = max(trb1, tr16b) = 3.9193 mm Wall Thickness, shell/head, external pressure trb2 = 2.9966 mm Wall Thickness tb2 = max(trb2, tr16b) = 3.5000 mm Wall Thickness per table UG-45 tb3 = 8.3312 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 8.331, max( 3.9193, 3.5 ) ] = 3.9193 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 1.5662, 3.9193 ) = 3.9193 mm Available Nozzle Neck Thickness = 9.5000 mm --> OK Weld Size Calculations, Description: Bocal A2 Intermediate Calc. for nozzle/shell Welds Tmin 7.5000 mm Results Per UW-16.1: Required Thickness Actual Thickness Nozzle Weld 5.2500 = 0.7 * tmin. 7.0700 = 0.7 * Wo mm Weld Strength and Weld Loads per UG-41.1, Sketch (a) or (b) Weld Load [W]: = max( 0, (A-A1+2*tn*fr1*(E1*t-tr))Sv) = max( 0, (16.981 - 4.138 + 2 * 9.5 * 1.0 * (1.0 * 7.5 - 6.6854 ) )1104) = 14347.19 kgf Note: F is always set to 1.0 throughout the calculation. Weld Load [W1]: = (A2+A5+A4-(Wi-Can/.707)²*fr2)*Sv = ( 2.9752 + 0.0 + 1. - 0.0 * 1.0 ) * 1104 = 4387.85 kgf Weld Load [W2]: = (A2 + A3 + A4 + (2 * tn * t * fr1)) * Sv = ( 2.9752 + 0.0 + 1. + ( 1.425 ) ) * 1104 = 5960.79 kgf Weld Load [W3]: = (A2+A3+A4+A5+(2*tn*t*fr1))*S = ( 2.9752 + 0.0 + 1. + 0.0 + ( 1.425 ) ) * 1104 = 5960.79 kgf Strength of Connection Elements for Failure Path Analysis Shear, Outward Nozzle Weld [Sonw]: = (pi/2) * Dlo * Wo * 0.49 * Snw = ( 3.1416/2.0 ) * 527.0 * 10.0 * 0.49 * 1104 = 44774. kgf Shear, Nozzle Wall [Snw]: = (pi *( Dlr + Dlo )/4 ) * ( Thk - Can ) * 0.7 * Sn = (3.1416 * 258.75) * ( 9.5 - 0.0 ) * 0.7 * 1104 = 59669. kgf Tension, Shell Groove Weld [Tngw]: = (pi/2) * Dlo * (Wgnvi-Cas) * 0.74 * Sng = ( 3.1416/2.0 ) * 527.0 * ( 9.5 - 2.0 ) * 0.74 * 1104 = 50713. kgf Strength of Failure Paths: PATH11 = ( SONW + SNW ) = ( 44774 + 59669 ) = 104443 kgf PATH22 = ( Sonw + Tpgw + Tngw + Sinw ) = ( 44774 + 0 + 50713 + 0 ) = 95487 kgf PATH33 = ( Sonw + Tngw + Sinw ) = ( 44774 + 50713 + 0 ) = 95487 kgf Summary of Failure Path Calculations: Path 1-1 = 104442 kgf, must exceed W = 14347 kgf or W1 = 4387 kgf Path 2-2 = 95487 kgf, must exceed W = 14347 kgf or W2 = 5960 kgf Path 3-3 = 95487 kgf, must exceed W = 14347 kgf or W3 = 5960 kgf Maximum Allowable Pressure for this Nozzle at this Location: Converged Max. Allow. Pressure in Operating case 4.395 kgf/cm² Nozzle is NOT O.K. for the Ext. Pressure 1.055 kgf/cm² The Drop for this Nozzle is : 425.7173 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 881.3306 mm Percent Elongation Calculations: % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 1.836 % Nozzle Schedule: Nominal or | Schd | Flg | Nozzle | Wall | Reinforcing Pad | Cut | Flg | Actual | or FVC | Type | O/Dia | Thk | Diameter Thk | Length | Class | Description Size | Type | | in | mm | mm mm | mm | | ---------------------------------------------------------------------------------------------------- Bocal A2 | 20.000 in | Actual | FFSo| 20.748 | 9.500 | ... | ... | 881.33 | 150 | Bocal A1 | 24.000 in | Actual | FFSo| 24.748 | 9.500 | ... | ... |1250.00 | 150 | Bocal B1 | 34.000 in | Actual | FFSo| 34.748 | 9.500 | ... | ... | 362.32 | 150 | General Notes for the above table: The Cut Length is the Outside Projection + Inside Projection + Drop + In Plane Shell Thickness. This value does not include weld gaps, nor does it account for shrinkage. In the case of Oblique Nozzles, the Outside Diameter must be increased. The Re-Pad WIDTH around the nozzle is calculated as follows: Width of Pad = (Pad Outside Dia. (per above) - Nozzle Outside Dia.)/2 For hub nozzles, the thickness and diameter shown are those of the smaller and thinner section. Nozzle Material and Weld Fillet Leg Size Details (mm): | | Shl Grve | Noz Shl/Pad | Pad OD | Pad Grve | Inside | Description | Material | Weld | Weld | Weld | Weld | Weld | ----------------------------------------------------------------------------------------------- Bocal A2 | SA-285 C | 9.500 | 10.000 | ... | ... | ... | Bocal A1 | SA-285 C | 9.500 | 10.000 | ... | ... | ... | Bocal B1 | SA-285 C | 9.500 | 10.000 | ... | ... | ... | Note: The Outside projections below do not include the flange thickness. Nozzle Miscellaneous Data: | Elev/Distance | Layout | Proj | Proj | Installed in | Description | From Datum | Angle | Outside | Inside | Component | | mm | deg | mm | mm | | --------------------------------------------------------------------------------------------- Bocal A2 | 3326.350 | 43.8 | 442.39 | 0.00 | Casco | Bocal A1 | 3216.350 | -46.2 | 492.39 | 0.00 | Casco | Bocal B1 | ... | 0.0 | 296.00 | 0.00 | Tampo Superior | Weld Sizes for Slip On/Socket Weld Nozzle Flanges per UW-21: Nozzle to Flange Fillet Weld Leg dimension [xmin]: = min( 1.4 * tn, Hub Thickness ) The Nozzle Wall thicknesses shown below are in the corroded condition. Hubs are considered to be straight. Nominal or Actual | Schd | Flg | Noz. | Wall | Hub | Throat | xmin | Description Size | or FVC | Type | O/Dia | Thk | Thk | Thk | Thk | | Type | | in | mm | mm | mm | mm | --------------------------------------------------------------------------------------------- Bocal A2 20.000 in | Actua | FFSo| 20.748 | 9.500 | 22.860 | 9.310 | 13.300 | Bocal A1 24.000 in | Actua | FFSo| 24.748 | 9.500 | 23.749 | 9.310 | 13.300 | Bocal B1 34.000 in | Actua | FFSo| 34.748 | 9.500 |441.325 | 9.310 | 13.300 | ASME Code, Section VIII Division 1, 2017 Diameter Spec : 360.000 x 2100.000 mm OD Vessel Design Length, Tangent to Tangent 3726.35 mm Distance of Bottom Tangent above Grade 0.00 mm Distance of Base above Grade 0.00 mm Specified Datum Line Distance 0.00 mm Internal Design Temperature 159 °C Internal Design Pressure 2.030 kgf/cm² External Design Temperature 93 °C External Design Pressure 1.055 kgf/cm² Maximum Allowable Working Pressure 3.852 kgf/cm² External Max. Allowable Working Pressure 1.405 kgf/cm² Hydrostatic Test Pressure 5.007 kgf/cm² Required Minimum Design Metal Temperature -28.9 °C Warmest Computed Minimum Design Metal Temperature -29.0 °C Wind Design Code ASCE-93 Earthquake Design Code UBC-94 Materials of Construction: Component | | | | |Normal | Impact | Type | Material | Class | Thickness | UNS # | ized | Tested | ---------------------------------------------------------------------------------------------- Shell | SA-285 C | ... | ... | K02801 | No | No | Head | SA-285 C | ... | ... | K02801 | No | No | Cone | SA-285 C | ... | ... | K02801 | No | No | Flange | SA-105 | ... | ... | K03504 | No | No | Nozzle | SA-285 C | ... | ... | K02801 | No | No | Nozzle Flg | SA-105 | ... | ... | K03504 | No | No | Nozzle Flg | SA-285 C | ... | ... | K02801 | No | No | Flg Bolting | SA-193 B7 | ... | <= 2 1/2 | G41400 | No | No | Normalized is determined based on the UCS-66 material curve selection and Figure UCS-66. Impact Tested is based on material selection and material data properties. Element Pressures and MAWP (kgf/cm² & mm): | Design | | | | Str. | In | Element Description | Pressure | Ext. | Element | Corrosion | Flg. | Creep | or Type | + Stat. head | Press. | M.A.W.P | Allowance | Gov. | Range | -------------------------------------------------------------------------------------------- Flange B2 | 2.030 | 1.05 | 15.745 | 0.0000 | N/A | No | Bocal B2 | 2.030 | 1.05 | 59.514 | 0.0000 | N/A | No | Tampo Conico | 2.030 | 1.05 | 4.809 | 2.0000 | N/A | No | Casco | 2.030 | 1.05 | 5.535 | 2.0000 | N/A | No | Tampo Superior | 2.030 | 1.05 | 5.032 | 2.0000 | No | No | Element Types and Properties: Element |"To" Elev | Element | Nominal | Finished | Reqd Thk | Reqd Thk | Long | Circ | | | Length |Thickness |Thickness | Internal | External | Eff | Eff | Type | mm | mm | mm | mm | mm | mm | | | ------------------------------------------------------------------------------------------------ Body Flg | 41.4 | 35.1 | ... | 35.1 | ... | ... | 1.00 | 1.00 | Cylinder | 307.4 | 301.0 | ... | 9.5 | 1.5 | 1.1 | 1.00 | 1.00 | Conical | 1836.4 | 1529.0 | ... | 9.5 | 5.2 | 7.4 | 0.70 | 0.70 | Cylinder | 3696.4 | 1860.0 | ... | 9.5 | 4.8 | 8.7 | 0.70 | 0.70 | Torisph | 3726.4 | 30.0 | ... | 9.5 | 5.0 | 7.0 | 0.70 | 0.70 | Note: The Wind and Seismic loads were not load factored in this analysis. Weights: Fabricated - Bare W/O Removable Internals 2275.9 kg Shop Test - Fabricated + Water ( Full ) 11951.2 kg Shipping - Fab. + Rem. Intls.+ Shipping App. 2275.9 kg Erected - Fab. + Rem. Intls.+ Insul. (etc) 2275.9 kg Empty - Fab. + Intls. + Details + Wghts. 2275.9 kg Operating - Empty + Operating Liquid (No CA) 2275.9 kg Field Test - Empty Weight + Water (Full) 11951.2 kg