LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel Table of Contents Cover Page Vessel Design Summary: Nozzle Summary: Nozzle Schedule: Bill of Material: MDMT Summary: Warnings and Errors: Input Echo: XY Coordinate Calculations: Flg Calc [Int P]: New Flange Flg Calc [Int P]: New Flange Flg Calc [Int P]: New Flange Flg Calc [Int P]: New Flange Internal Pressure Calculations: Element: Left Head Element: Shell 1 Element: Shell 2 Element: Shell 3 Element: Shell 4 Element: Right Head Pressure Test Results: Shop Test Pressure Test Results: Field Test Ring MDMT Calcs: External Pressure Calculations: Element and Detail Weights: Nozzle Flange MAWP: Wind Load Calculation: Earthquake Load Calculation: Center of Gravity Calculation: Saddle Calcs: Operating Case: Saddle Calcs: Test Case: Nozzle Calcs.: N2-20`` Nozzle Calcs.: N5-8'' Nozzle Calcs.: N8-3'' Nozzle Calcs.: N6-1'' Nozzle Calcs.: N7-14'' Nozzle Calcs.: N3-20'' Nozzle Calcs.: N4-3'' Nozzle Calcs.: N1-8'' Nozzle Calcs.: N9-4'' Nozzle Calcs.: N10-4'' Problems/Failures Summary: 1 2 5 7 9 10 12 13 27 28 32 36 40 43 44 47 49 51 53 55 58 60 62 63 65 68 70 73 75 76 93 110 115 126 130 133 138 143 147 157 161 165 Cover Page LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel DESIGN CALCULATION In Accordance with ASME Section VIII Division 1 ASME Code Version : 2021 Analysis Performed by : # Job File : ...\1021D003C ondensate vessel7p erm argin.pvdb Date of Analysis : Feb 9,2024 PV Elite 25 SP2, October 2023 2:42pm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Vessel Design Summary: Step: 49 2:43pm Page 2 of 165 Feb 9,2024 Vessel Design Summary: ASME Code, Section VIII Division 1, 2021 Diameter Spec : 4000.000 mm ID Vessel Design Length, Tangent to Tangent 10000.00 mm Specified Datum Line Distance 0.00 mm Internal Design Temperature Internal Design Pressure 110 3.000 °C MPa External Design Temperature 110 °C Maximum Allowable Working Pressure Shop Test Pressure Field Test Pressure 3 3.948 3.948 MPa MPa MPa Required Minimum Design Metal Temperature Warmest Computed Minimum Design Metal Temperature -5.0 15.0 °C °C Warning: Computed overall MDMT was higher than the required value ! Wind Design Code Earthquake Design Code ASCE-2010 ASCE 7-2010 Materials of Construction: Component Type Shell Head Flange Nozzle Nozzle Flg Rings Flg Bolting Hrz Bolting Saddles Material Class Thickness UNS # SA-516 70 SA-516 70 SA-105 SA-105 SA-105 SA-516 70 SA-193 B7 ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... <= 2 1/2 ... ... K02700 K02700 K03504 K03504 K03504 K02700 G41400 SA-516 70 K02700 Normal ized Impact Tested Yes Yes Yes Yes Yes Yes No No Yes No No No No No No No 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 (MPa & mm): Element Description or Type Design Pressure + Stat. head Ext. Press. Element M.A.W.P Total Corrosion Allowance Str. Flg. Gov. In Creep Range Left Head Shell 1 Shell 2 Shell 3 3.020 3.020 3.020 3.020 0.00 0.00 0.00 0.00 3.000 3.000 3.000 3.000 3.2000 3.2000 3.2000 3.2000 No N/A N/A N/A No No No No LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Vessel Design Summary: Step: 49 2:43pm Shell 4 Right Head Counter Flg 1-20'' Blind Flg 1-20'' Counter flg 2 -20'' Blind flg 2-20'' Liquid Level: 2000.00 mm 3.020 3.020 3.000 3.000 3.000 3.000 0.00 0.00 0.00 0.00 0.00 0.00 Dens.: 0.001 kg/cm³ Stiffener Ring Specifications: Elevation mm Selected Type 2400.00 5000.00 7600.00 Bar Bar Bar Page 3 of 165 Feb 9,2024 3.000 3.000 5.000 4.000 5.000 4.000 3.2000 3.2000 3.2000 3.2000 3.2000 3.2000 N/A No N/A N/A N/A N/A No No No No No No Sp. Gr.: 1.000 Ring Description 160 x 160 x 160 x 16 16 16 Ring R1 Ring R2 Ring R3 Nominal Thickness mm Finished Thickness mm Reqd Thk Internal mm Reqd Thk External mm Long Eff Circ Eff 56.0 50.0 50.0 50.0 50.0 56.0 57.1 57.1 57.1 57.1 47.6 50.0 50.0 50.0 50.0 47.6 60.0 80.0 63.5 80.0 47.1 47.6 47.6 47.6 47.6 47.1 ... 75.1 ... ... ... ... ... ... ... ... ... ... ... ... 1.00 1.00 1.00 1.00 1.00 1.00 0.85 0.85 0.85 0.85 1.00 1.00 1.00 1.00 1.00 1.00 0.85 0.85 0.85 0.85 Element Types and Properties: Element "To" Elev Type mm Element Length mm Ellipse Cylinder Cylinder Cylinder Cylinder Ellipse Body Flg Body Flg Body Flg Body Flg 50.0 2850.0 4350.0 7150.0 9950.0 10000.0 1650.0 1650.0 8350.0 8350.0 50.0 2800.0 1500.0 2800.0 2800.0 50.0 0.0 0.0 0.0 0.0 Saddle Parameters: Saddle Width Saddle Bearing Angle Centerline Dimension Wear Pad Width Wear Pad Thickness Wear Pad Bearing Angle Distance from Saddle to Tangent 290.000 120.000 2350.000 550.000 16.000 132.000 2000.000 mm deg. mm mm mm deg. mm Baseplate Length Baseplate Thickness Baseplate Width Number of Ribs (including outside ribs) Rib Thickness Web Thickness Height of Center Web Number of Bolts in Baseplate 3550.000 25.000 300.000 4 20.000 20.000 300.000 4 mm mm mm Baseplate Sketch |------------------- 3550.000 mm --------------------| ------------------------------------------------------ --| | mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Vessel Design Summary: Step: 49 2:43pm Page 4 of 165 Feb 9,2024 | | 300.000 mm | | ------------------------------------------------------ --Baseplate Plan View ------------------------------------------------------ --| | 25.000 mm ------------------------------------------------------ --Baseplate Side View Summary of Maximum Saddle Loads, Operating Case, Un-Factored: Maximum Vertical Saddle Load 1037533.19 Maximum Transverse Saddle Shear Load 116134.22 Maximum Longitudinal Saddle Shear Load 132073.22 N N N Summary of Maximum Saddle Loads, Pressure Test Case: Maximum Vertical Saddle Load Maximum Transverse Saddle Shear Load Maximum Longitudinal Saddle Shear Load N N N 1198495.12 12738.68 16914.64 Local Stress Analysis Results: Description Analysis Type Max Stress Ratio High Stress Location Pass Fail N5-8'' N1-8'' WRC-297 WRC-107/537 0.957 0.899 Shell n/a Passed Passed Weights: Fabricated - Bare W/O Removable Internals Shop Test - Fabricated + Water ( Full ) Shipping - Fab. + Rem. Intls.+ Shipping App. Erected - Fab. + Rem. Intls.+ Insul. (etc) Empty - Fab. + Intls. + Details + Wghts. Operating - Empty + Operating Liquid (No CA) Field Test - Empty Weight + Water (Full) 80551.1 222969.3 89989.5 89989.5 89989.5 162218.2 229489.5 PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. kgm kgm kgm kgm kgm kgm kgm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Summary: Step: 47 2:43pm Page 5 of 165 Feb 9,2024 Nozzle Calculation Summary (MPa & mm): Description MAWP Ext MAPNC UG-45 [tr] Weld Path Areas or Stresses 3 3 3 3 3 3 3 3 4 4 ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... OK OK OK OK ... OK OK OK OK OK 11.53 10.36 8.46 6.62 OK OK OK OK OK OK OK OK OK OK Passed Passed Passed No Calc[*] Passed Passed Passed Passed Passed Passed N2-20`` N5-8'' N8-3'' N6-1'' N7-14'' N3-20'' N4-3'' N1-8'' N9-4'' N10-4'' 11.53 8.46 10.36 8.22 8.22 Nozzle MAWP Summary: Minimum MAWP Nozzles : Minimum MAWP Shells/Flanges : Minimum MAPnc Shells/Flanges : 3 Nozzle : N1-8'' 3 Element : Right Head 3 Element : Right Head Computed Vessel M.A.W.P. 3 MPa : [*] - This was a small opening and the areas were not computed. Multiple output lines for the same nozzle indicates required Code calculations in both the longitudinal and circumferential planes of reinforcement where applicable. Check the Spatial Relationship between the Nozzles: From Node Nozzle Description X Coordinate mm Layout Angle deg Dia. Limit mm 20 20 30 40 40 50 50 60 80 100 N2-20`` N5-8'' N8-3'' N6-1'' N7-14'' N3-20'' N4-3'' N1-8'' N9-4'' N10-4'' 1650.000 550.000 3600.000 5550.000 6350.000 8349.999 9149.999 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 978.000 368.400 201.550 144.400 673.200 978.000 201.550 368.400 255.200 255.200 The nozzle spacing is computed by the following: = ( 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! LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Summary: Step: 47 2:43pm Page 6 of 165 Feb 9,2024 Checking Multiple Nozzles on Flat Head per ASME Sec. VIII Div. 1 UG-39 Comparing Nozzles on Element: Blind Flg 1-20'' Note: No Nozzle pairs found on this element. UG-39 Nozzle Diameter and Distance to Edge Checks: Nozzle Description N9-4'' Nozzle dia. mm Head Dia. /2 mm Distance from Edge mm Nozzle dia./4 mm 85.74 288.92 287.68 21.435 Comparing Nozzles on Element: Blind flg 2-20'' Note: No Nozzle pairs found on this element. UG-39 Nozzle Diameter and Distance to Edge Checks: Nozzle Description N10-4'' Nozzle dia. mm Head Dia. /2 mm Distance from Edge mm Nozzle dia./4 mm 85.74 288.92 287.68 21.435 No Multiple Nozzle spacing violations detected! PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Schedule: Step: 46 2:43pm Page 7 of 165 Feb 9,2024 Nozzle Schedule: Schd or FVC Type Flg Type Description Nominal or Actual Size Nozzle O/Dia in Wall Thk mm N6-1'' N8-3'' N4-3'' N9-4'' N10-4'' N5-8'' N1-8'' N7-14'' N2-20`` N3-20'' 1.000 in Actual 3.000 in HB 2.900 in Actual 4.000 in Actual 4.000 in Actual 8.000 in Actual 8.000 in Actual 14.000 in Actual 20.000 in Actual 20.000 in Actual LWN N/A LWN WNF WNF WNF WNF WNF None None 2.000 4.250 4.250 4.000 4.000 8.000 8.000 14.000 20.000 20.000 12.700 17.145 17.145 11.130 11.130 12.700 12.700 12.700 12.700 12.700 Reinforcing Pad Diameter Thk mm ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... Cut Length mm Flg Class 264.47 301.89 301.89 330.05 330.05 241.33 268.88 265.17 466.19 466.19 300 300 300 300 300 300 300 300 ... ... 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): Description Material Shl Grve Weld Noz Shl/Pad Weld Pad OD Weld Pad Grve Weld Inside Weld SA-105 SA-105 SA-105 SA-105 SA-105 SA-105 SA-105 SA-105 SA-105 SA-105 50.000 50.000 50.000 80.000 80.000 50.000 47.600 50.000 50.000 50.000 10.000 10.000 10.000 10.000 10.000 10.000 10.000 10.000 10.000 10.000 ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... N6-1'' N8-3'' N4-3'' N9-4'' N10-4'' N5-8'' N1-8'' N7-14'' N2-20`` N3-20'' Note: The Outside projections below do not include the flange thickness. Nozzle Miscellaneous Data: Description N6-1'' N8-3'' N4-3'' N9-4'' Elev/Distance From Datum mm Layout Angle deg Proj Outside mm Proj Inside mm Installed in Component 5550.000 3600.000 9149.999 ... 0.0 0.0 0.0 0.0 214.31 250.00 250.00 250.00 0.00 0.00 0.00 0.00 Shell 3 Shell 2 Shell 4 Blind Flg 1-20'' LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Schedule: Step: 46 2:43pm N10-4'' N5-8'' N1-8'' N7-14'' N2-20`` N3-20'' ... 550.000 ... 6350.000 1650.000 8349.999 0.0 0.0 0.0 0.0 0.0 0.0 Page 8 of 165 Feb 9,2024 250.00 188.75 188.75 207.25 400.00 400.00 PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. 0.00 0.00 0.00 0.00 0.00 0.00 Blind flg 2-20'' Shell 1 Right Head Shell 3 Shell 1 Shell 4 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Bill of Material: Step: 45 2:43pm Page 9 of 165 Feb 9,2024 Bill of Materials: QTY DESCRIPTION MATERIAL 2 ELLIPTICAL HEAD: 2.0 X 1, 56.0mm THK X 4000.0mm ID X 50.0mm SA-516 70 3 CYLINDER: 50.0mm THK X 4000.0mm ID X 2800.0mm SA-516 70 1 CYLINDER: 50.0mm THK X 4000.0mm ID X 1500.0mm SA-516 70 1 BODY FLANGE: 60.0mm THK X 774.7mm OD SA-105 2 BODY FLANGE: 80.0mm THK X 774.7mm OD SA-105 1 BODY FLANGE: 63.5mm THK X 774.7mm OD SA-105 2 INSULATION: 1050mm X 50mm THK 2 SADDLE: 290.0mm X 120 DEG 1 PLATFORM: 1000mm X 4100mm WIDE 1 LADDER: 6700.0mm 3 INSULATION: 2800mm X 50mm THK 3 BAR RING STIFFENER: 4100.0mm ID X 4420.0mm OD X 16.0mm 1 INSULATION: 1500mm X 50mm THK 1 CLASS 300 GR 1.1, 14.0" BLIND FLANGE(S) SA-105 3 GASKET: 577.8mm OD X 525.5mm ID ... 72 BODY FLANGE BOLTS: 31.8mm DIA SA-193 B7 144 NUTS FOR BODY FLANGE BOLTS: 31.8mm DIA ... 1 NAMEPLATE ... PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. SA-516 70 ... SA-516 70 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin MDMT Summary: Step: 48 2:43pm Page 10 of 165 Feb 9,2024 Minimum Design Metal Temperature Results Summary (°C): Curve Basic MDMT Reduced MDMT B B B B D D D D D D D D D D D D D -29 -7 -29 -29 -21 -17 -20 -20 -20 -20 -21 -17 -48 -48 -48 -48 -48 17 17 -29 17 -18 -21 -29 17 -29 17 17 -29 16 -29 -25 -18 -25 -18 -48 -48 -28 -48 -48 -21 -26 -22 -22 -22 -22 -21 -26 -48 -48 -48 -48 -48 15 15 -48 15 -40 -104 -48 15 -48 15 15 -48 10 -48 -104 -41 -104 -41 17 15 Description UG-20(f) MDMT Thickness ratio Gov Thk mm E* PWHT reqd 0.587 0.622 20.000 0.587 0.587 1.000 47.600 0.852 56.000 0.961 50.000 0.961 50.000 0.961 50.000 0.961 50.000 1.000 47.600 0.852 56.000 0.961 16.000 0.961 16.000 0.961 16.000 0.961 16.000 0.961 16.000 0.961 50.000 0.961 50.000 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 No No No No Yes Yes Yes Yes Yes Yes Yes Yes No No No No No No Yes 0.961 50.000 1.00 No 0.038 12.700 1.00 No 0.961 50.000 1.00 Yes 0.961 0.961 50.000 50.000 1.00 1.00 No No 0.901 47.600 1.00 Yes 0.140 11.130 1.00 Yes 0.140 11.130 1.00 Yes Notes Counter Flg 1 [5] Blind Flg 1-2[11] Counter flg 2 [5] Blind flg 2-2 [5] Left Head [10] Left Head [7] Shell 1 [8] Shell 2 [8] Shell 3 [8] Shell 4 [8] Right Head [10] Right Head [7] Ring R1 [23] Ring R2 [23] Ring R3 [23] Fixed saddle [24] Sliding saddl[24] N2-20 ` [1] N5-8'' [1] Nozzle Flg [5] N8-3'' [1] Nozzle Flg [5] N6-1'' [1] Nozzle Flg [5] N7-14'' [1] Nozzle Flg [5] N3-20'' [1] N4-3'' [1] Nozzle Flg [5] N1-8'' [1] Nozzle Flg [5] N9-4'' [1] Nozzle Flg [5] N10-4'' [1] Nozzle Flg [5] Bolting [21] Warmest MDMT: B B B B B B B B B B B B B B B B B B Required Minimum Design Metal Temperature Warmest Computed Minimum Design Metal Temperature -5.0 15.0 °C °C Warning: Computed overall MDMT was higher than the required value ! Notes: [ ! ] - This was an impact tested material. [ 1] - Governing Nozzle Weld. [ 4] - ASME Flange MDMT Calcs; Thickness ratio per UCS-66(b)(1)(-c). [ 5] - ASME Flange MDMT Calcs; Thickness ratio per UCS-66(b)(1)(-b). [ 6] - MDMT Calculations at the Shell/Head Joint. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin MDMT Summary: Step: 48 2:43pm Page 11 of 165 Feb 9,2024 [ 7] - MDMT Calculations for the Straight Flange. [ 8] - Cylinder/Cone/Flange Junction MDMT. [ 9] - Calculations in the Spherical Portion of the Head. [10] - Calculations in the Knuckle Portion of the Head. [11] - Calculated (Body Flange) Flange MDMT. [12] - Calculated Flat Head MDMT per UCS-66.3 [13] - Tubesheet MDMT, shell side, if applicable [14] - Tubesheet MDMT, tube side, if applicable [15] - Nozzle Material [16] - Shell or Head Material [17] - Impact Testing required [18] - Impact Testing not required, see UCS-66(b)(3) [20] - Cylinder/Cone Junction MDMT based on Longitudinal Stress considerations [21] - Body Flange Bolting Material [22] - Nozzle Flange Bolting Material [23] - Stiffening Ring to Shell Weld [24] - Saddle to Shell Weld UG-84(b)(2) was not considered. UCS-66(g) was not considered. UCS-66(i) was not considered. Notes: Impact test temps were not entered in and not considered in the analysis. UCS-66(i) applies to impact tested materials not by specification and UCS-66(g) applies to materials impact tested per UG-84.1 General Note (c). The Basic MDMT includes the (30F) PWHT credit if applicable. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Warnings and Errors: Step: 0 2:42pm Page 12 of 165 Feb 9,2024 Class From To : Basic Element Checks. Class From To: Check of Additional Element Data There were no geometry errors or warnings. PV Elite performs all calculations internally in Imperial Units to remain compliant with the ASME Code and any built in assumptions in the ASME Code formulas. The finalized results are reflected to show the set of selected units for this analysis. Information Regarding Nozzle Loads Please note that nozzle loadings, if included, are assumed to be local in nature and will not contribute to or create a net section bending moment. Therefore, the addition of nozzle loads will not affect the support load calculation. If you wish to create a load on the support(s) from nozzle loads, you can enable that feature in tools->configuration->Job Specific Settings. One or more nozzles in this model was specified using the actual thickness basis and a standard flange is also specified. In many cases a matching nominal diameter cannot be determined and the weight of the flange and optional blind flange cannot be determined. When actual thickness basis is specified, you must calculate the weight of the assembly (by hand) and enter it into the 'Overriding Weight' field in the nozzle dialog when there is a standard flange specified. However, for FVC nozzles that have their nominal diameter specified in the FVC dialog, entering the overriding weight for that nozzle is not required. The level of precision is set to a value of less than 3. At this level you may not obtain proper resolution on some results. This value can be changed in Tools->Set Configuration Parameters->Default Values->Level of Precision. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Page 13 of 165 Feb 9,2024 Units used in this Analysis (SIASME): Name System Unit Constant Length Force Mass Area Moment Stress Temperature Pressure Elast. Modulus Pipe Density Ins. Density Fluid Density Wind Speed Tray Weight Inertia G Load Wind Load Elevation Volume Diameter Thickness Feet Pounds Pounds sq. inches ft. lbs. lbs./sq.in. Degrees F psig lbs./sq.in. lbs./cu.in. lbs./cu.ft. lbs./cu.ft. miles/hr lbs./sq.ft. in.4 G's lbs./sq.ft. Feet in.3 inches inches 304.8000 4.4480 0.4536 645.1600 1356.3000 0.0069 0.5556 0.0069 0.0069 0.0277 0.1600E-04 0.1600E-04 1.6093 0.0005 416231.0000 1.0000 0.0479 304.8000 0.0164 25.4000 25.4000 User Unit mm N kgm mm² N-mm MPa °C MPa MPa kg/cm³ kg/cm³ kg/cm³ km/hr kg/cm² mm4 g's kPa mm ltr mm mm PV Elite Vessel Analysis Program: Input Data LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel Design Internal Pressure (for Hydrotest) Design Internal Temperature Projection of Nozzle from Vessel Top Projection of Nozzle from Vessel Bottom Minimum Design Metal Temperature Type of Construction Special Service Degree of Radiography Use Higher Longitudinal Stresses (Flag) Select t for Internal Pressure (Flag) Select t for External Pressure (Flag) Select t for Axial Stress (Flag) Select Location for Stiff. Rings (Flag) Consider Vortex Shedding Shop Pressure Test: Type of Pressure Test Pressure Test Position Test Performed in Corroded Condition Field Pressure Test: Type of Pressure Test Pressure Test Position 3 110.0 300 300 -5.0 Welded None RT-1 Y N N N N N UG-99(b) Horizontal Yes UG-99(b) Vertical MPa °C mm mm °C LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Page 14 of 165 Feb 9,2024 Test Performed in Corroded Condition No Load Case 1 Load Case 2 Load Case 3 Load Case 4 Load Case 5 Load Case 6 Load Case 7 Load Case 8 Load Case 9 Load Case 10 Load Case 11 Load Case 12 Load Case 13 Load Case 14 Load Case 15 Load Case 16 Load Case 17 Load Case 18 Load Case 19 Load Case 20 NP+EW+1.1WI+FW+BW NP+EW+EE+FS+BS NP+OW+1.1WI+FW+BW NP+OW+EQ+FS+BS NP+HW+HI NP+HW+HE IP+OW+1.1WI+FW+BW IP+OW+EQ+FS+BS EP+OW+1.1WI+FW+BW EP+OW+EQ+FS+BS HP+HW+HI HP+HW+HE IP+WE+EW IP+WF+CW IP+VO+OW IP+VE+EW NP+VO+OW FS+BS+IP+OW FS+BS+EP+OW BL+IP+OW Wind Design Code Wind Load Reduction Scale Factor Basic Wind Speed [V] Surface Roughness Category Importance Factor Type of Surface Base Elevation Percent Wind for Hydrotest Using User defined Wind Press. Vs Elev. Height of Hill or Escarpment H or Hh Distance Upwind of Crest Lh Distance from Crest to the Vessel x Type of Terrain ( Hill, Escarpment ) Damping Factor (Beta) for Wind (Ope) Damping Factor (Beta) for Wind (Empty) Damping Factor (Beta) for Wind (Filled) ASCE-7 2010 1.100 180 C: Open Terrain 1.0 Moderately Smooth 0 50.0 N 0 0 0 Flat 0.0100 0.0000 0.0000 Seismic Design Code Seismic Load Reduction Scale Factor Importance Factor Table Value Fa Table Value Fv Short Period Acceleration value Ss Long Period Acceleration Value Sl Moment Reduction Factor Tau Force Modification Factor R Site Class Component Elevation Ratio Amplification Factor Force Factor Consider Vertical Acceleration Minimum Acceleration Multiplier User Value of Sds (used if > 0 ) User Value of Sd1 (used if > 0 ) z/h Ap ASCE 7-2010 1.000 1.250 1.600 2.224 0.160 0.144 1.000 3.000 D 1.000 1.000 0.000 No 0.000 0.000 0.000 km/hr mm mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Page 15 of 165 Feb 9,2024 M.A.W.P. + Static Head to Element Bottom Consider MAP New and Cold in Noz. Design Consider External Loads for Nozzle Des. Use ASME VIII-1 Appendix 1-9 Y N Y N Perform Blast Load Analysis Material Database Year No 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 Calculate B31.3 type stress for Nozzles with Loads Reduce the MDMT due to lower membrane stress Consider Longitudinal Stress in MDMT Calculations No Yes Yes Yes Complete Listing of Vessel Elements and Details: Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Allowable Stress, Ambient Allowable Stress, Operating Allowable Stress, Hydrotest Material Density P Number Thickness Yield Stress, Operating UCS-66 Chart Curve Designation External Pressure Chart Name UNS Number Product Form Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Elliptical Head Factor Weld is pre-Heated 10 20 Elliptical Left Head 50 mm 4000 mm 47.6 mm 3.2 mm 56 mm 0 mm 3 MPa 110 °C 0 MPa 110 °C 1.2 SA-516 70 [Normalized] 137.9 MPa 137.9 MPa 235.8 MPa 0.00775 kg/cm³ 30.988 mm 237.5 MPa D CS-2 K02700 Plate 1.0 1.0 2.0 No LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Page 16 of 165 Feb 9,2024 Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density 10 Liquid Operating fluid 0 2000 0.0009984 mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Insulation Thickness of Insulation Density 10 Insulation INS-1 -1000 1050 50 0.000192 mm mm mm kg/cm³ Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Weld is pre-Heated Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Width of Saddle Height of Saddle at Bottom Saddle Contact Angle Height of Composite Ring Stiffener Width of Wear Plate Thickness of Wear Plate Contact Angle, Wear Plate (degrees) Friction coefficient Moment Factor Dimension E at base (optional) Circumferential Eff. over Saddle Circumferential Eff. at Midspan Tangent to Tangent dist. (optional) Element From Node 20 30 Cylinder Shell 1 2800 mm 4000 mm 50 mm 3.2 mm 50 mm 0 mm 3 MPa 110 °C 0 MPa 110 °C 1.2 SA-516 70 [Normalized] 1.0 1.0 No 20 Saddle Fixed saddle 1950 290 2350 120.0 0 550 16 132.0 0.0 3.0 0 1.0 1.0 0 20 mm mm mm mm mm mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Page 17 of 165 Feb 9,2024 Detail Type Detail ID Dist. from "FROM" Node / Offset dist Platform Start Angle (degrees) Platform End Angle (degrees) Platform Wind Area Platform Weight Platform Railing Weight Platform Grating Weight Platform Width Platform Height Platform Clearance or End Offset Platform Force Coefficient Ladder Layout Angle Ladder Start Elevation Ladder End Elevation Unit Weight of Ladder Platform Length (top head platform) Platform PLATFORM 0 0.0 0.0 11999999 70815 0 0.017 4100 1000 85 1.2 0.0 0 6700 0.363 10000 Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density 20 Liquid Operating fluid 0 2000 0.0009984 mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Insulation Thickness of Insulation Density 20 Insulation INS-2 0 2800 50 0.000192 mm mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Inside Diameter of Ring Thickness of Ring Outside Diameter of Ring Material Name Height of Section Ring Using Custom Stiffener Section 20 Ring Ring R1 2350 mm 4100 mm 16 mm 4420 mm SA-516 70 [Normalized] 0 mm No Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl 20 Nozzle N2-20 ` 1600 mm 20 in. None None 0.0 N 5793.6 N None SA-105 [Normalized] mm mm² N N/mm kg/cm² mm mm mm mm mm N/mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl Page 18 of 165 Feb 9,2024 20 Nozzle N5-8'' 500 mm 8 in. None 300 0.0 N 980.6 N GR 1.1 SA-105 [Normalized] Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 20 Weight PUMP WT 1 1950 5148.1 0 mm N mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 20 Weight NOZZ PROJ 4 1600 882.54 1800 mm N mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Force in X Direction Force in Y Direction Force in Z Direction Moment about X Axis Moment about Y Axis Moment about Z Axis Force/Moment Combination Method 20 For./Mom. Nozzlel oad1 1950 50518 -19249 50098 0 0 0 SRSS Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier 30 40 Cylinder Shell 2 1500 4000 50 3.2 50 0 3 110 0 110 1.2 mm N N N N-mm N-mm N-mm mm mm mm mm mm mm MPa °C MPa °C LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Material Name Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Weld is pre-Heated Page 19 of 165 Feb 9,2024 SA-516 70 [Normalized] 1.0 1.0 No Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density 30 Liquid Operating fluid 0 2000 0.0009984 mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Insulation Thickness of Insulation Density 30 Insulation INS-3 0 1500 50 0.000192 mm mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier 30 Nozzle N8-3'' 750 mm 2.9 in. None 300 0.0 N 274.57 N GR 1.1 SA-105 [Normalized] 30 Weight INTRNL PROJ 1 750 588.36 1650 40 50 Cylinder Shell 3 2800 4000 50 3.2 50 0 3 110 0 110 1.2 mm N mm mm mm mm mm mm mm MPa °C MPa °C LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Material Name Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Weld is pre-Heated Page 20 of 165 Feb 9,2024 SA-516 70 [Normalized] 1.0 1.0 No Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density 40 Liquid Operating fluid 0 2000 0.0009984 mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Insulation Thickness of Insulation Density 40 Insulation INS-4 0 2800 50 0.000192 mm mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Inside Diameter of Ring Thickness of Ring Outside Diameter of Ring Material Name Height of Section Ring Using Custom Stiffener Section 40 Ring Ring R2 650 mm 4100 mm 16 mm 4420 mm SA-516 70 [Normalized] 0 mm No Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl 40 Nozzle N6-1'' 1200 mm 1 in. None 300 0.0 N 52.136 N GR 1.1 SA-105 [Normalized] Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl 40 Nozzle N7-14'' 2000 mm 14 in. None 300 0.0 Y 2880.5 N GR 1.1 SA-105 [Normalized] LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Page 21 of 165 Feb 9,2024 Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 40 Weight LIFTING LUG WT 200 23731 1900 mm N mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 40 Weight CLEAT WT1 200 833.51 1800 mm N mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 40 Weight CLEAT WT2 200 833.51 1800 mm N mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 40 Weight DAVIT WT 2000 196.12 1800 mm N mm Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Weld is pre-Heated Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Width of Saddle Height of Saddle at Bottom Saddle Contact Angle 50 60 Cylinder Shell 4 2800 mm 4000 mm 50 mm 3.2 mm 50 mm 0 mm 3 MPa 110 °C 0 MPa 110 °C 1.2 SA-516 70 [Normalized] 1.0 1.0 No 50 Saddle Sliding saddle 850 290 2350 120.0 mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Page 22 of 165 Feb 9,2024 Height of Composite Ring Stiffener Width of Wear Plate Thickness of Wear Plate Contact Angle, Wear Plate (degrees) Friction coefficient Moment Factor Dimension E at base (optional) Circumferential Eff. over Saddle Circumferential Eff. at Midspan Tangent to Tangent dist. (optional) 0 550 16 132.0 0.60000002 3.0 0 1.0 1.0 0 mm mm mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density 50 Liquid Operating fluid 0 2000 0.0009984 mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Insulation Thickness of Insulation Density 50 Insulation INS-5 0 2800 50 0.000192 mm mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Inside Diameter of Ring Thickness of Ring Outside Diameter of Ring Material Name Height of Section Ring Using Custom Stiffener Section 50 Ring Ring R3 450 mm 4100 mm 16 mm 4420 mm SA-516 70 [Normalized] 0 mm No Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl 50 Nozzle N3-20'' 1200 mm 20 in. None 150 0.0 N 5793.6 N None SA-105 [Normalized] Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class 50 Nozzle N4-3'' 2000 2.9 None 300 mm mm mm in. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl Page 23 of 165 Feb 9,2024 0.0 N 274.57 N GR 1.1 SA-105 [Normalized] Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 50 Weight PUMP WT 2 850 5148.1 0 mm N mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 50 Weight INTRNL PROJ 2 2000 588.36 1650 mm N mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Miscellaneous Weight Offset from Element Centerline 50 Weight INTRNL PROJ 3 1200 882.54 1800 mm N mm Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Force in X Direction Force in Y Direction Force in Z Direction Moment about X Axis Moment about Y Axis Moment about Z Axis Force/Moment Combination Method 50 For./Mom. Nozzle l oad2 850 50518 -19249 50098 0 0 0 SRSS Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name mm N N N N-mm N-mm N-mm 60 70 Elliptical Right Head 50 mm 4000 mm 47.6 mm 3.2 mm 56 mm 0 mm 3 MPa 110 °C 0 MPa 110 °C 1.2 SA-516 70 [Normalized] LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Efficiency, Longitudinal Seam Efficiency, Circumferential Seam Elliptical Head Factor Weld is pre-Heated Page 24 of 165 Feb 9,2024 1.0 1.0 2.0 No Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Liquid Liquid Density 60 Liquid Operating fluid 0 2000 0.0009984 mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Height/Length of Insulation Thickness of Insulation Density 60 Insulation INS-6 0 1050 50 0.000192 mm mm mm kg/cm³ Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Flange Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Allowable Stress, Ambient Allowable Stress, Operating Allowable Stress, Hydrotest Material Density P Number Thickness Yield Stress, Operating 60 Nozzle N1-8'' 1000 mm 8 in. None 300 0.0 N 980.6 N GR 1.1 SA-105 [Normalized] 70 80 Flange Counter Flg 1-20'' 158.55 mm 488.95 mm 60 mm 3.2 mm 57.15 mm 0 mm 3 MPa 110 °C 0 MPa 110 °C 1.2 SA-105 [Normalized] 137.9 MPa 137.9 MPa 223.4 MPa 0.00775 kg/cm³ 29.997 mm 225.1 MPa LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm UCS-66 Chart Curve Designation External Pressure Chart Name UNS Number Product Form Perform Flange Stress Calculation (Y/N) Weld is pre-Heated Page 25 of 165 Feb 9,2024 B CS-2 K03504 Forgings Y No Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Flange Outside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Perform Flange Stress Calculation (Y/N) Weld is pre-Heated 80 90 Flange Blind Flg 1-20'' 80 mm 774.7 mm 80 mm 3.2 mm 57.15 mm 0 mm 3 MPa 110 °C 0 MPa 110 °C 1.2 SA-105 [Normalized] Y No Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl 80 Nozzle N9-4'' 0 mm 4 in. None 300 0.0 N 445.49 N GR 1.1 SA-105 [Normalized] Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Flange Inside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure 90 100 Flange Counter flg 2 -20'' 162.05 488.95 63.5 3.2 57.15 0 3 110 0 110 mm mm mm mm mm mm MPa °C MPa °C LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Input Echo: Step: 1 2:42pm Page 26 of 165 Feb 9,2024 Effective Diameter Multiplier Material Name Perform Flange Stress Calculation (Y/N) Weld is pre-Heated 1.2 SA-105 [Normalized] Y No Element From Node Element To Node Element Type Description Distance "FROM" to "TO" Flange Outside Diameter Element Thickness Internal Corrosion Allowance Nominal Thickness External Corrosion Allowance Design Internal Pressure Design Temperature Internal Pressure Design External Pressure Design Temperature External Pressure Effective Diameter Multiplier Material Name Perform Flange Stress Calculation (Y/N) Weld is pre-Heated 100 110 Flange Blind flg 2-20'' 80 mm 774.7 mm 80 mm 3.2 mm 57.15 mm 0 mm 3 MPa 110 °C 0 MPa 110 °C 1.2 SA-105 [Normalized] Y No Element From Node Detail Type Detail ID Dist. from "FROM" Node / Offset dist Nozzle Diameter Nozzle Schedule Nozzle Class Layout Angle Blind Flange (Y/N) Weight of Nozzle ( Used if > 0 ) Grade of Attached Flange Nozzle Matl 100 Nozzle N10-4'' 0 mm 4 in. None 300 0.0 N 445.49 N GR 1.1 SA-105 [Normalized] PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin XY Coordinate Calculations: Step: 2 2:42pm Page 27 of 165 Feb 9,2024 XY Coordinate Calculations: From To X (Horiz.) mm Y (Vert.) mm DX (Horiz.) mm DY (Vert.) mm Left Head Shell 1 Shell 2 Shell 3 Shell 4 Right Head Counter Flg 1-2 Blind Flg 1-20' Counter flg 2 Blind flg 2-20' 50 2850 4350 7150 9950 10000 1650 1650 8350 8350 ... ... ... ... ... ... ... ... ... ... 50 2800 1500 2800 2800 50 ... ... ... ... ... ... ... ... ... ... 158.552 80 162.052 80 PV Elite includes an 1/8 inch (3.175mm) raised face and gasket thicknesses for girth flanges and tubesheet thicknesses where applicable in the Tangent to Tangent length calculation. The calculated dimensions are based on the given element lengths. Due to variability in manufacturing (weld gaps etc.), the Tangent to Tangent length may not be exact. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 29 2:42pm Flange Input Data Values Description: New Flange Page 28 of 165 Feb 9,2024 : Counter Flg 1-20'' Flange Type Integral Weld Neck Design Pressure P Design Temperature Internal Corrosion Allowance ci External Corrosion Allowance ce Use Corrosion Allowance in Thickness Calcs. 3.00 110 3.2000 0.0000 No MPa °C mm mm Flange Inside Diameter Flange Outside Diameter Flange Thickness Thickness of Hub at Small End Thickness of Hub at Large End Length of Hub B A t go g1 h 488.950 774.700 60.0000 9.5250 49.1490 98.5520 mm mm mm mm mm mm Flange Material Flange Material UNS number Flange Allowable Stress At Temperature Flange Allowable Stress At Ambient Sfo Sfa SA-105 K03504 137.90 137.90 MPa MPa Bolt Material Bolt Allowable Stress At Temperature Bolt Allowable Stress At Ambient Sb Sa SA-193 B7 172.38 172.38 MPa MPa Diameter of Bolt Circle Nominal Bolt Diameter Type of Threads Number of Bolts C 685.800 a 31.7500 TEMA Thread Series 24 mm mm Flange Face Outside Diameter Flange Face Inside Diameter Flange Facing Sketch Fod 584.200 Fid 488.950 1, Code Sketch 1a mm mm Gasket Outside Diameter Gasket Inside Diameter Gasket Factor Gasket Design Seating Stress Go Gi m y mm mm Column for Gasket Seating Gasket Thickness 2, Code Column II tg 3.1750 Axial Force on Flange Bending Moment on Flange 52470.70 35333800.00 Flange Class Flange Grade 577.850 525.526 0.0000 0.00 300 GR 1.1 MPa mm N N-mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 29 2:42pm Page 29 of 165 Feb 9,2024 ASME Code, Section VIII Division 1, 2021 Hub Small End Required Thickness due to Internal Pressure: = (P•(D/2+Ca))/(S•E-0.6•P) per UG-27 (c)(1) = (3.0•(488.95/2+3.2))/(137.9•0.85-0.6•3.0)+Ca = 9.6379 mm Warning: Less than specified Small End Hub thickness Small End Hub MAWP: = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9 • 0.85 • 6.325)/(247.675 + 0.6 • 6.325 ) = 2.948 MPa Hub Small End Hub MAPnc: = (Sa•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9 • 0.85 • 9.525)/(244.475 + 0.6 • 9.525 ) = 4.462 MPa Corroded Flange ID, Corroded Large Hub, Corroded Small Hub, Code R Dimension, Bcor = B+2*ci g1Cor = g1-ci g0Cor = go-ci R = ((C-Bcor)/2)-g1cor Gasket Contact Width, Basic Gasket Width, Effective Gasket Width, Gasket Reaction Diameter, N = (Go - Gi)/2 bo = N/2 b = Cb*sqrt(bo) G = Go (Self-Energizing) Original Design Pressure for Flange Axial Force Equiv. Pressure (4*max(F,0)/(pi*G2)) Bending Moment Equiv. Pressure (16*abs(M)/(pi*G3)) Final Equivalent Design Pressure 495.350 45.949 6.325 49.276 26.162 mm 13.081 mm 9.114 mm 577.850 mm 3.000 MPa 0.200 MPa 0.932 MPa --------4.132 MPa Note: Per ASME NC-3658.1(b), the equivalent pressure is used only to compute the Hydrostatic End Load H. The original design pressure is used in the remaining calculations. Basic Flange and Bolt Loads: mm mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 29 2:42pm Hydrostatic End Load due to Pressure [H]: = π/4 • G² • Peq = π/4 • 577.85² • 4.132 = 1083651.125 N Contact Load on Gasket Surfaces [Hp]: = 2 • b • π • G • m • P = 2 • 9.114 • π • 577.85 • 0.0 • 3.0 = 0.000 N Hydrostatic End Load at Flange ID [Hd]: = π/4 • Bcor² • P = π/4 • 495.35² • 3.0 = 578094.125 N Pressure Force on Flange Face [Ht]: = H - Hd = 1083651 - 578094 = 505557.031 N Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 1083651 + 0 + 0, 0 ) = 1083651.125 N Gasket Seating Bolt Load [Wm2]: = y • b • π • G + yPart • bPart • lp = 0.0•9.114•π•577.85+0.0•0.0•0.0 = 0.000 N Required Bolt Area [Am]: = max( Wm1/Sb, Wm2/Sa ) = max( 1083651/172, 0/172 ) = 6287.125 mm² Flange Design Bolt Load, Gasket Seating [W]: = Sa • Ab = 172.38 • 14384.4873 = 2479315.50 N Gasket Load for the Operating Condition [HG]: = Wm1 - H = 1083651 - 1083651 = 0.00 N Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = ( C - G ) / 2 = ( 685.8 - 577.85 )/2 = 53.9750 mm Distance to Face Pressure Reaction [ht]: = ( R + g1 + hg ) / 2 = ( 49.276 + 45.949 + 53.975 )/2 = 74.6000 mm Page 30 of 165 Feb 9,2024 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 29 2:42pm Page 31 of 165 Feb 9,2024 Distance to End Pressure Reaction [hd]: = R + ( g1 / 2 ) = 49.276 + ( 45.949/2.0 ) = 72.2505 mm Summary of Moments for Internal Pressure: (N-mm) Loading End Pressure, Md Face Pressure, Mt Gasket Load, Mg Gasket Seating, Matm Force Distance Bolt Corr Moment 578094. 505557. 0. 2479316. 72.2505 74.6000 53.9750 53.9750 1.0000 1.0000 1.0000 1.0000 41784524. 37729844. 0. 133875304. Total Moment for Operation, Mop Total Moment for Gasket seating, Matm 79514368. N-mm 133875304. N-mm You chose not to perform Stress Calculations on this Standard Flange. The pressure rating of the flange will be used to check code compliance. Estimated Finished Weight of Flange at given Thk. Estimated Unfinished Weight of Forging at given Thk 168.4 kgm 348.5 kgm Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -29 °C -48 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.00/5.11 = 0.587 PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 30 2:42pm Flange Input Data Values Description: New Flange Page 32 of 165 Feb 9,2024 : Blind Flg 1-20'' Flange Type Blind Design Pressure P Design Temperature Internal Corrosion Allowance ci External Corrosion Allowance ce Use Corrosion Allowance in Thickness Calcs. 3.00 110 3.2000 0.0000 Yes MPa °C mm mm Flange Outside Diameter Flange Thickness A t 774.700 80.0000 mm mm Flange Material Flange Material UNS number Flange Allowable Stress At Temperature Flange Allowable Stress At Ambient Sfo Sfa SA-105 K03504 137.90 137.90 MPa MPa Bolt Material Bolt Allowable Stress At Temperature Bolt Allowable Stress At Ambient Sb Sa SA-193 B7 172.38 172.38 MPa MPa Perimeter along the Center of the Bolts L 2154.504 mm Diameter of Bolt Circle Nominal Bolt Diameter Type of Threads Number of Bolts C 685.800 a 31.7500 TEMA Thread Series 24 mm mm Flange Face Outside Diameter Flange Face Inside Diameter Flange Facing Sketch Fod 584.200 Fid 488.950 1, Code Sketch 1a mm mm Gasket Outside Diameter Gasket Inside Diameter Gasket Factor Gasket Design Seating Stress Go Gi m y mm mm Column for Gasket Seating Gasket Thickness 2, Code Column II tg 3.1750 Axial Force on Flange Bending Moment on Flange 52470.70 35333800.00 577.850 525.526 0.0000 0.00 MPa mm N N-mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 30 2:42pm Page 33 of 165 Feb 9,2024 ASME Code, Section VIII Division 1, 2021 Gasket Contact Width, Basic Gasket Width, Effective Gasket Width, Gasket Reaction Diameter, N = (Go - Gi)/2 bo = N/2 b = Cb*sqrt(bo) G = Go (Self-Energizing) Original Design Pressure for Flange Axial Force Equiv. Pressure (4*max(F,0)/(pi*G2)) Bending Moment Equiv. Pressure (16*abs(M)/(pi*G3)) Final Equivalent Design Pressure 26.162 mm 13.081 mm 9.114 mm 577.850 mm 3.000 MPa 0.200 MPa 0.932 MPa --------4.132 MPa Note: Per ASME NC-3658.1(b), the equivalent pressure is used only to compute the Hydrostatic End Load H. The original design pressure is used in the remaining calculations. Basic Flange and Bolt Loads: Hydrostatic End Load due to Pressure [H]: = π/4 • G² • Peq = π/4 • 577.85² • 4.132 = 1083651.125 N Contact Load on Gasket Surfaces [Hp]: = 2 • b • π • G • m • P = 2 • 9.114 • π • 577.85 • 0.0 • 3.0 = 0.000 N Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 1083651 + 0 + 0, 0 ) = 1083651.125 N Gasket Seating Bolt Load [Wm2]: = y • b • π • G + yPart • bPart • lp = 0.0•9.114•π•577.85+0.0•0.0•0.0 = 0.000 N Required Bolt Area [Am]: = max( Wm1/Sb, Wm2/Sa ) = max( 1083651/172, 0/172 ) = 6287.125 mm² ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]: = 2a + 6t/(m + 0.5) = 2 • 31.75 + 6 • 76.8/(0.0 + 0.5) = 985.100 mm Actual Circumferential Bolt Spacing [Bs]: = C • sin( π / n ) = 685.8 • sin( π/24 ) = 89.515 mm ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 30 2:42pm Page 34 of 165 Feb 9,2024 = max( ( Bs/( 2a + t )), 1 ) = max( ( 89.515/( 2 • 31.75 + 76.8 )), 1 ) = 1.0000 Bolting Information for TEMA Imperial Thread Series (Non Mandatory): Bolt Area: Radial Distance between Bolts and Edge: Circ. Spacing between the Bolts: Minimum Actual Maximum 6287.125 31.750 71.450 14384.487 44.450 89.515 985.100 Flange Design Bolt Load, Gasket Seating [W]: = Sa • Ab = 172.38 • 14384.4873 = 2479315.50 N Gasket Load for the Operating Condition [HG]: = Wm1 = 1083651.12 N Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = ( C - G ) / 2 = ( 685.8 - 577.85 )/2 = 53.9750 mm Tangential Flange Stress, Flat Head (UG-34), Operating [STo]: = 1.9 • Wm1 • hG • Bsc/(t² • G) + C • Z • Peq • G²/t² = 1.9•1083651•53.975•1.0/(76.8²•577.85)+0.3•1.0•4.13•577.85²/76.8² = 102.79 MPa Tangential Flange Stress, Flat Head (UG-34), Seating [STa]: = 1.9 • W • hG • Bsc/ (t² • G) = 1.9•2479316•53.975•1.0/(76.8²•577.85) = 74.61 MPa Bolt Stress, Operating [BSo]: = Wm1 / Ab = 1083651/14384.4873 = 75.34 MPa Bolt Stress, Seating [BSa]: = ( Wm2 / Ab ) = (0/14384.4873) = 0.00 MPa Flange Stress Analysis Results: MPa Tangential Flange Bolting Actual Operating Allowed Actual Gasket Seating Allowed 102.79 75.34 137.90 172.38 74.61 0.00 137.90 172.38 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 30 2:42pm Reqd. Blind Flange Thickness at Center Reqd. Blind Flange Thickness at Gasket Estimated M.A.W.P. ( Operating ) Estimated Finished Weight of Flange at given Thk. Estimated Unfinished Weight of Forging at given Thk Page 35 of 165 Feb 9,2024 75.120 mm 64.471 mm 4 MPa 292.3 kgm 292.3 kgm Minimum Design Metal Temperature Results: Thickness Ratio = 0.622, Temperature Reduction per Fig. UCS 66.1 = 21 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) -7 °C -28 °C Note: UCS-66(b)(-c) was considered in the flange MDMT calculation. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 31 2:42pm Flange Input Data Values Description: New Flange Page 36 of 165 Feb 9,2024 : Counter flg 2 -20'' Flange Type Integral Weld Neck Design Pressure P Design Temperature Internal Corrosion Allowance ci External Corrosion Allowance ce Use Corrosion Allowance in Thickness Calcs. 3.00 110 3.2000 0.0000 No MPa °C mm mm Flange Inside Diameter Flange Outside Diameter Flange Thickness Thickness of Hub at Small End Thickness of Hub at Large End Length of Hub B A t go g1 h 488.950 774.700 63.5000 9.5250 49.1490 98.5520 mm mm mm mm mm mm Flange Material Flange Material UNS number Flange Allowable Stress At Temperature Flange Allowable Stress At Ambient Sfo Sfa SA-105 K03504 137.90 137.90 MPa MPa Bolt Material Bolt Allowable Stress At Temperature Bolt Allowable Stress At Ambient Sb Sa SA-193 B7 172.38 172.38 MPa MPa Diameter of Bolt Circle Nominal Bolt Diameter Type of Threads Number of Bolts C 685.800 a 31.7500 TEMA Thread Series 24 mm mm Flange Face Outside Diameter Flange Face Inside Diameter Flange Facing Sketch Fod 584.200 Fid 488.950 1, Code Sketch 1a mm mm Gasket Outside Diameter Gasket Inside Diameter Gasket Factor Gasket Design Seating Stress Go Gi m y mm mm Column for Gasket Seating Gasket Thickness 2, Code Column II tg 3.1750 Axial Force on Flange Bending Moment on Flange 52470.70 35333800.00 Flange Class Flange Grade 577.850 525.526 0.0000 0.00 300 GR 1.1 MPa mm N N-mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 31 2:42pm Page 37 of 165 Feb 9,2024 ASME Code, Section VIII Division 1, 2021 Hub Small End Required Thickness due to Internal Pressure: = (P•(D/2+Ca))/(S•E-0.6•P) per UG-27 (c)(1) = (3.0•(488.95/2+3.2))/(137.9•0.85-0.6•3.0)+Ca = 9.6379 mm Warning: Less than specified Small End Hub thickness Small End Hub MAWP: = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9 • 0.85 • 6.325)/(247.675 + 0.6 • 6.325 ) = 2.948 MPa Hub Small End Hub MAPnc: = (Sa•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9 • 0.85 • 9.525)/(244.475 + 0.6 • 9.525 ) = 4.462 MPa Corroded Flange ID, Corroded Large Hub, Corroded Small Hub, Code R Dimension, Bcor = B+2*ci g1Cor = g1-ci g0Cor = go-ci R = ((C-Bcor)/2)-g1cor Gasket Contact Width, Basic Gasket Width, Effective Gasket Width, Gasket Reaction Diameter, N = (Go - Gi)/2 bo = N/2 b = Cb*sqrt(bo) G = Go (Self-Energizing) Original Design Pressure for Flange Axial Force Equiv. Pressure (4*max(F,0)/(pi*G2)) Bending Moment Equiv. Pressure (16*abs(M)/(pi*G3)) Final Equivalent Design Pressure 495.350 45.949 6.325 49.276 26.162 mm 13.081 mm 9.114 mm 577.850 mm 3.000 MPa 0.200 MPa 0.932 MPa --------4.132 MPa Note: Per ASME NC-3658.1(b), the equivalent pressure is used only to compute the Hydrostatic End Load H. The original design pressure is used in the remaining calculations. Basic Flange and Bolt Loads: mm mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 31 2:42pm Hydrostatic End Load due to Pressure [H]: = π/4 • G² • Peq = π/4 • 577.85² • 4.132 = 1083651.125 N Contact Load on Gasket Surfaces [Hp]: = 2 • b • π • G • m • P = 2 • 9.114 • π • 577.85 • 0.0 • 3.0 = 0.000 N Hydrostatic End Load at Flange ID [Hd]: = π/4 • Bcor² • P = π/4 • 495.35² • 3.0 = 578094.125 N Pressure Force on Flange Face [Ht]: = H - Hd = 1083651 - 578094 = 505557.031 N Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 1083651 + 0 + 0, 0 ) = 1083651.125 N Gasket Seating Bolt Load [Wm2]: = y • b • π • G + yPart • bPart • lp = 0.0•9.114•π•577.85+0.0•0.0•0.0 = 0.000 N Required Bolt Area [Am]: = max( Wm1/Sb, Wm2/Sa ) = max( 1083651/172, 0/172 ) = 6287.125 mm² Flange Design Bolt Load, Gasket Seating [W]: = Sa • Ab = 172.38 • 14384.4873 = 2479315.50 N Gasket Load for the Operating Condition [HG]: = Wm1 - H = 1083651 - 1083651 = 0.00 N Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = ( C - G ) / 2 = ( 685.8 - 577.85 )/2 = 53.9750 mm Distance to Face Pressure Reaction [ht]: = ( R + g1 + hg ) / 2 = ( 49.276 + 45.949 + 53.975 )/2 = 74.6000 mm Page 38 of 165 Feb 9,2024 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 31 2:42pm Page 39 of 165 Feb 9,2024 Distance to End Pressure Reaction [hd]: = R + ( g1 / 2 ) = 49.276 + ( 45.949/2.0 ) = 72.2505 mm Summary of Moments for Internal Pressure: (N-mm) Loading End Pressure, Md Face Pressure, Mt Gasket Load, Mg Gasket Seating, Matm Force Distance Bolt Corr Moment 578094. 505557. 0. 2479316. 72.2505 74.6000 53.9750 53.9750 1.0000 1.0000 1.0000 1.0000 41784524. 37729844. 0. 133875304. Total Moment for Operation, Mop Total Moment for Gasket seating, Matm 79514368. N-mm 133875304. N-mm You chose not to perform Stress Calculations on this Standard Flange. The pressure rating of the flange will be used to check code compliance. Estimated Finished Weight of Flange at given Thk. Estimated Unfinished Weight of Forging at given Thk 176.1 kgm 356.2 kgm Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -29 °C -48 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.00/5.11 = 0.587 PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 32 2:42pm Flange Input Data Values Description: New Flange Page 40 of 165 Feb 9,2024 : Blind flg 2-20'' Flange Type Blind Design Pressure P Design Temperature Internal Corrosion Allowance ci External Corrosion Allowance ce Use Corrosion Allowance in Thickness Calcs. 3.00 110 3.2000 0.0000 Yes MPa °C mm mm Flange Outside Diameter Flange Thickness A t 774.700 80.0000 mm mm Flange Material Flange Material UNS number Flange Allowable Stress At Temperature Flange Allowable Stress At Ambient Sfo Sfa SA-105 K03504 137.90 137.90 MPa MPa Bolt Material Bolt Allowable Stress At Temperature Bolt Allowable Stress At Ambient Sb Sa SA-193 B7 172.38 172.38 MPa MPa Perimeter along the Center of the Bolts L 2154.504 mm Diameter of Bolt Circle Nominal Bolt Diameter Type of Threads Number of Bolts C 685.800 a 31.7500 TEMA Thread Series 24 mm mm Flange Face Outside Diameter Flange Face Inside Diameter Flange Facing Sketch Fod 584.200 Fid 488.950 1, Code Sketch 1a mm mm Gasket Outside Diameter Gasket Inside Diameter Gasket Factor Gasket Design Seating Stress Go Gi m y mm mm Column for Gasket Seating Gasket Thickness 2, Code Column II tg 3.1750 Axial Force on Flange Bending Moment on Flange 52470.70 35333800.00 Flange Class Flange Grade 577.850 525.526 0.0000 0.00 300 GR 1.1 MPa mm N N-mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 32 2:42pm Page 41 of 165 Feb 9,2024 ASME Code, Section VIII Division 1, 2021 Gasket Contact Width, Basic Gasket Width, Effective Gasket Width, Gasket Reaction Diameter, N = (Go - Gi)/2 bo = N/2 b = Cb*sqrt(bo) G = Go (Self-Energizing) Original Design Pressure for Flange Axial Force Equiv. Pressure (4*max(F,0)/(pi*G2)) Bending Moment Equiv. Pressure (16*abs(M)/(pi*G3)) Final Equivalent Design Pressure 26.162 mm 13.081 mm 9.114 mm 577.850 mm 3.000 MPa 0.200 MPa 0.932 MPa --------4.132 MPa Note: Per ASME NC-3658.1(b), the equivalent pressure is used only to compute the Hydrostatic End Load H. The original design pressure is used in the remaining calculations. Basic Flange and Bolt Loads: Hydrostatic End Load due to Pressure [H]: = π/4 • G² • Peq = π/4 • 577.85² • 4.132 = 1083651.125 N Contact Load on Gasket Surfaces [Hp]: = 2 • b • π • G • m • P = 2 • 9.114 • π • 577.85 • 0.0 • 3.0 = 0.000 N Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 1083651 + 0 + 0, 0 ) = 1083651.125 N Gasket Seating Bolt Load [Wm2]: = y • b • π • G + yPart • bPart • lp = 0.0•9.114•π•577.85+0.0•0.0•0.0 = 0.000 N Required Bolt Area [Am]: = max( Wm1/Sb, Wm2/Sa ) = max( 1083651/172, 0/172 ) = 6287.125 mm² LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Flg Calc [Int P]: New Flange Flng: 32 2:42pm Page 42 of 165 Feb 9,2024 Flange Design Bolt Load, Gasket Seating [W]: = Sa • Ab = 172.38 • 14384.4873 = 2479315.50 N Gasket Load for the Operating Condition [HG]: = Wm1 = 1083651.12 N Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = ( C - G ) / 2 = ( 685.8 - 577.85 )/2 = 53.9750 mm You chose not to perform Stress Calculations on this Standard Flange. The pressure rating of the flange will be used to check code compliance. Estimated Finished Weight of Flange at given Thk. Estimated Unfinished Weight of Forging at given Thk 292.3 kgm 292.3 kgm Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -29 °C -48 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.00/5.11 = 0.587 PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Internal Pressure Calculations: Step: 7 2:42pm Page 43 of 165 Feb 9,2024 Internal Pressure Results Summary: Element Thickness, Pressure, Diameter and Allowable Stress : To Int. Press + Liq. Hd MPa Nominal Thickness mm Total Corr Allowance mm Element Diameter mm Allowable Stress(SE) MPa Left Head Shell 1 Shell 2 Shell 3 Shell 4 Right Head Counter Flg 1-20 Blind Flg 1-20'' Counter flg 2 -2 Blind flg 2-20'' 3.0196 3.0196 3.0196 3.0196 3.0196 3.0196 3 3 3 3 56 50 50 50 50 56 57.15 57.15 57.15 57.15 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 4000 4000 4000 4000 4000 4000 488.95 774.7 488.95 774.7 137.9 137.9 137.9 137.9 137.9 137.9 137.9 117.21 137.9 137.9 From Element Required Thickness and MAWP : To Design Pressure MPa M.A.W.P. Corroded MPa M.A.P. New & Cold MPa Minimum Thickness mm Required Thickness mm Left Head Shell 1 Shell 2 Shell 3 Shell 4 Right Head Counter Flg 1-20 Blind Flg 1-20'' Counter flg 2 -2 Blind flg 2-20'' 3 3 3 3 3 3 3 3 3 3 3.03657 3.15753 3.15753 3.15753 3.15753 3.03657 4.63027 4.41135 4.63027 3.96086 3.27423 3.39655 3.39655 3.39655 3.39655 3.27423 5.1103 4.88383 5.1103 5.1103 47.6 50 50 50 50 47.6 60 80 63.5 80 47.0675 47.6486 47.6486 47.6486 47.6486 47.0675 No Calc 75.1201 No Calc No Calc 3 3 From Minimum MAWP: 3 MPa, limited by: Right Head. Elements Suitable for Design Internal Pressure. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Left Head Step: 8 2:42pm Page 44 of 165 Feb 9,2024 Internal Pressure Calculation Results: ASME Code, Section VIII Division 1, 2021 Internal Pressure Results for: Left Head Elliptical Head Design Information: Design Pressure Material Length P 3.020 MPa SA-516 70 50.000 mm Int. Corr. All. c Ext. Corr. All. ce Inside Diameter Di Spec. Min. Thk t or e Surface Area Element Volume Empty Weight 3.2000 mm 0.0000 mm 4000.000 mm 47.6000 mm 18974526.0 mm² 9007.5 ltr 110304.6 N Int. Design Temperature Ext. Design Temperature External Pressure Chart UNS Number Allowable Stress (ope) S Allowable Stress (amb) Sa Actual Stress Spec. Nominal Thk. SG of Contents Weight of Contents Operating Weight Comp. All. Ope. Stress Aspect Ratio 110 °C 110 °C CS-2 K02700 137.9 MPa 137.9 MPa 136.2 MPa 56.000 mm 1.000 83162.0 N 193466.6 N 132.1 MPa 2.00 Radiography Information: Full Radiography per UW-11(a) Type 1 Circ. Joint Efficiency 100 % Full Radiography per UW-11(a) Type 1 Long. Joint Efficiency E 100 % Tolerance for Formed Heads per UG-81(a): Head inner surface maximum deviation outside the specified shape, 1.25% of D: 50.000 mm Head inner surface maximum deviation inside the specified shape, 0.625% of D: 25.000 mm Required Thickness due to Internal Pressure [tr]: = (P•D•Kcor)/(2•S•E-0.2•P) Appendix 1-4(c) = (3.02•4006.3999•0.998)/(2•137.9•1.0-0.2•3.02) = 43.8675 + 3.2000 = 47.0675 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: Less Operating Hydrostatic Head Pressure of 0.020 MPa = (2•S•E•t)/(Kcor•D+0.2•t) per Appendix 1-4 (c) = (2•137.9•1.0•44.4)/(0.998•4006.3999+0.2•44.4) = 3 - 0 = 3 MPa Maximum Allowable Pressure, New and Cold [MAPNC]: = (2•S•E•t)/(K•D+0.2•t) per Appendix 1-4 (c) = (2•137.9•1.0•47.6)/(1.0•4000.0+0.2•47.6) = 3 MPa Actual stress at given pressure and thickness, corroded [Sact]: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Left Head Step: 8 2:42pm Page 45 of 165 Feb 9,2024 = (P•(Kcor•D+0.2•t))/(2•E•t) = (3.02•(0.998•4006.3999+0.2•44.4))/(2•1.0•44.4) = 136.250 MPa Straight Flange Required Thickness: = (P•R)/(S•E-0.6•P) + c per UG-27 (c)(1) = (3.02•2003.2)/(137.9•1.0-0.6•3.02)+3.2 = 47.649 mm Straight Flange Maximum Allowable Working Pressure: Less Operating Hydrostatic Head Pressure of 0.020 MPa = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9 • 1.0 • 52.8)/(2003.2 + 0.6 • 52.8 ) = 4 - 0 = 4 MPa Factor K, corroded condition [Kcor]: = ( 2 + ( Inside Diameter/( 2 • Inside Head Depth ))²)/6 = ( 2 + ( 4006.4/( 2 • 1003.2 ))²)/6 = 0.997875 Percent Elong. per UCS-79, VIII-1-01-57 (75*tnom/Rf)*(1-Rf/Ro) 5.932 % Note: Please Check Requirements of UCS-79 as Elongation is > 5%. MDMT Calculations in the Knuckle Portion: Govrn. thk, tg = 47.6, tr = 44.4, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 1., Temp. Reduction = 0 °C Min Metal Temp. w/o impact per UCS-66, Curve D -21 °C MDMT Calculations in the Head Straight Flange: Govrn. thk, tg = 56.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.852, Temp. Reduction = 8 °C Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp. at Required thickness (UCS 66.1) -17 °C -26 °C Note: Post Weld Heat Treatment is required for this Element/Joint and it was specified as being heat treated. MDMT Design Information: MDMT Curve UCS-66(b) red. Governing Thk. Stress/Thk. Ratio UCS-66(c) red. D Yes 47.600 mm 1.000 No Press. at MDMT Min. Des. Mtl. Temp. Basic MDMT Temperature Difference Computed Min. Temp. Joint Efficiency E* 3.056 MPa -5 °C -21 °C 0 °C -21 °C 100 % Note: Temperature values displayed above are for the location with the highest basic MDMT Tolerance for Formed Heads per UG-81(a): LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Left Head Step: 8 2:42pm Page 46 of 165 Feb 9,2024 Head inner surface maximum deviation outside the specified shape, 1.25% of D: 50.000 mm Head inner surface maximum deviation inside the specified shape, 0.625% of D: 25.000 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Shell 1 Step: 9 2:42pm Page 47 of 165 Feb 9,2024 Internal Pressure Calculation Results: ASME Code, Section VIII Division 1, 2021 Internal Pressure Results for: Shell 1 Cylindrical Shell Design Information: Design Pressure Material Length P 3.020 MPa SA-516 70 2800.000 mm Int. Corr. All. c Ext. Corr. All. ce Inside Diameter Di Spec. Min. Thk t or e Surface Area Element Volume Empty Weight 3.2000 mm 0.0000 mm 4000.000 mm 50.0000 mm 36065484.0 mm² 35192.1 ltr 110304.6 N Int. Design Temperature Ext. Design Temperature External Pressure Chart UNS Number Allowable Stress (ope) S Allowable Stress (amb) Sa Actual Stress Spec. Nominal Thk. SG of Contents Weight of Contents Operating Weight Comp. All. Ope. Stress 110 °C 110 °C CS-2 K02700 137.9 MPa 137.9 MPa 131.1 MPa 50.000 mm 1.000 83162.0 N 193466.6 N 133.2 MPa Radiography Information: Full Radiography per UW-11(a) Type 1 Circ. Joint Efficiency 100 % Full Radiography per UW-11(a) Type 1 Long. Joint Efficiency E 100 % Required Thickness due to Internal Pressure [tr]: = (P•R)/(S•E-0.6•P) per UG-27 (c)(1) = (3.02•2003.2)/(137.9•1.0-0.6•3.02) = 44.4486 + 3.2000 = 47.6486 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: Less Operating Hydrostatic Head Pressure of 0.020 MPa = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9•1.0•46.8)/(2003.2+0.6•46.8) = 3 - 0 = 3 MPa Maximum Allowable Pressure, New and Cold [MAPNC]: = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9•1.0•50.0)/(2000.0+0.6•50.0) = 3 MPa Actual stress at given pressure and thickness, corroded [Sact]: = (P•(R+0.6•t))/(E•t) = (3.02•(2003.2+0.6•46.8))/(1.0•46.8) = 131.063 MPa % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 1.235 % LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Shell 1 Step: 9 2:42pm Page 48 of 165 Feb 9,2024 Minimum Design Metal Temperature Results: Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp. at Required thickness (UCS 66.1) -20 °C -22 °C Note: Post Weld Heat Treatment is required for this Element/Joint and it was specified as being heat treated. MDMT Design Information: MDMT Curve UCS-66(b) red. Governing Thk. Stress/Thk. Ratio UCS-66(c) red. D Yes 50.000 mm 0.961 No Press. at MDMT Min. Des. Mtl. Temp. Basic MDMT Temperature Difference Computed Min. Temp. Joint Efficiency E* PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. 3.056 MPa -5 °C -20 °C 2 °C -22 °C 100 % LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Shell 2 Step: 10 2:42pm Page 49 of 165 Feb 9,2024 Internal Pressure Calculation Results: ASME Code, Section VIII Division 1, 2021 Internal Pressure Results for: Shell 2 Cylindrical Shell Design Information: Design Pressure Material Length P 3.020 MPa SA-516 70 1500.000 mm Int. Corr. All. c Ext. Corr. All. ce Inside Diameter Di Spec. Min. Thk t or e Surface Area Element Volume Empty Weight 3.2000 mm 0.0000 mm 4000.000 mm 50.0000 mm 19320796.0 mm² 18852.9 ltr 110304.6 N Int. Design Temperature Ext. Design Temperature External Pressure Chart UNS Number Allowable Stress (ope) S Allowable Stress (amb) Sa Actual Stress Spec. Nominal Thk. SG of Contents Weight of Contents Operating Weight Comp. All. Ope. Stress 110 °C 110 °C CS-2 K02700 137.9 MPa 137.9 MPa 131.1 MPa 50.000 mm 1.000 83162.0 N 193466.6 N 133.2 MPa Radiography Information: Full Radiography per UW-11(a) Type 1 Circ. Joint Efficiency 100 % Full Radiography per UW-11(a) Type 1 Long. Joint Efficiency E 100 % Required Thickness due to Internal Pressure [tr]: = (P•R)/(S•E-0.6•P) per UG-27 (c)(1) = (3.02•2003.2)/(137.9•1.0-0.6•3.02) = 44.4486 + 3.2000 = 47.6486 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: Less Operating Hydrostatic Head Pressure of 0.020 MPa = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9•1.0•46.8)/(2003.2+0.6•46.8) = 3 - 0 = 3 MPa Maximum Allowable Pressure, New and Cold [MAPNC]: = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9•1.0•50.0)/(2000.0+0.6•50.0) = 3 MPa Actual stress at given pressure and thickness, corroded [Sact]: = (P•(R+0.6•t))/(E•t) = (3.02•(2003.2+0.6•46.8))/(1.0•46.8) = 131.063 MPa % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 1.235 % LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Shell 2 Step: 10 2:42pm Page 50 of 165 Feb 9,2024 Minimum Design Metal Temperature Results: Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp. at Required thickness (UCS 66.1) -20 °C -22 °C Note: Post Weld Heat Treatment is required for this Element/Joint and it was specified as being heat treated. MDMT Design Information: MDMT Curve UCS-66(b) red. Governing Thk. Stress/Thk. Ratio UCS-66(c) red. D Yes 50.000 mm 0.961 No Press. at MDMT Min. Des. Mtl. Temp. Basic MDMT Temperature Difference Computed Min. Temp. Joint Efficiency E* PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. 3.056 MPa -5 °C -20 °C 2 °C -22 °C 100 % LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Shell 3 Step: 11 2:42pm Page 51 of 165 Feb 9,2024 Internal Pressure Calculation Results: ASME Code, Section VIII Division 1, 2021 Internal Pressure Results for: Shell 3 Cylindrical Shell Design Information: Design Pressure Material Length P 3.020 MPa SA-516 70 2800.000 mm Int. Corr. All. c Ext. Corr. All. ce Inside Diameter Di Spec. Min. Thk t or e Surface Area Element Volume Empty Weight 3.2000 mm 0.0000 mm 4000.000 mm 50.0000 mm 36065484.0 mm² 35192.1 ltr 110304.6 N Int. Design Temperature Ext. Design Temperature External Pressure Chart UNS Number Allowable Stress (ope) S Allowable Stress (amb) Sa Actual Stress Spec. Nominal Thk. SG of Contents Weight of Contents Operating Weight Comp. All. Ope. Stress 110 °C 110 °C CS-2 K02700 137.9 MPa 137.9 MPa 131.1 MPa 50.000 mm 1.000 83162.0 N 193466.6 N 133.2 MPa Radiography Information: Full Radiography per UW-11(a) Type 1 Circ. Joint Efficiency 100 % Full Radiography per UW-11(a) Type 1 Long. Joint Efficiency E 100 % Required Thickness due to Internal Pressure [tr]: = (P•R)/(S•E-0.6•P) per UG-27 (c)(1) = (3.02•2003.2)/(137.9•1.0-0.6•3.02) = 44.4486 + 3.2000 = 47.6486 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: Less Operating Hydrostatic Head Pressure of 0.020 MPa = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9•1.0•46.8)/(2003.2+0.6•46.8) = 3 - 0 = 3 MPa Maximum Allowable Pressure, New and Cold [MAPNC]: = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9•1.0•50.0)/(2000.0+0.6•50.0) = 3 MPa Actual stress at given pressure and thickness, corroded [Sact]: = (P•(R+0.6•t))/(E•t) = (3.02•(2003.2+0.6•46.8))/(1.0•46.8) = 131.063 MPa % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 1.235 % LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Shell 3 Step: 11 2:42pm Page 52 of 165 Feb 9,2024 Minimum Design Metal Temperature Results: Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp. at Required thickness (UCS 66.1) -20 °C -22 °C Note: Post Weld Heat Treatment is required for this Element/Joint and it was specified as being heat treated. MDMT Design Information: MDMT Curve UCS-66(b) red. Governing Thk. Stress/Thk. Ratio UCS-66(c) red. D Yes 50.000 mm 0.961 No Press. at MDMT Min. Des. Mtl. Temp. Basic MDMT Temperature Difference Computed Min. Temp. Joint Efficiency E* PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. 3.056 MPa -5 °C -20 °C 2 °C -22 °C 100 % LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Shell 4 Step: 12 2:42pm Page 53 of 165 Feb 9,2024 Internal Pressure Calculation Results: ASME Code, Section VIII Division 1, 2021 Internal Pressure Results for: Shell 4 Cylindrical Shell Design Information: Design Pressure Material Length P 3.020 MPa SA-516 70 2800.000 mm Int. Corr. All. c Ext. Corr. All. ce Inside Diameter Di Spec. Min. Thk t or e Surface Area Element Volume Empty Weight 3.2000 mm 0.0000 mm 4000.000 mm 50.0000 mm 36065484.0 mm² 35192.1 ltr 110304.6 N Int. Design Temperature Ext. Design Temperature External Pressure Chart UNS Number Allowable Stress (ope) S Allowable Stress (amb) Sa Actual Stress Spec. Nominal Thk. SG of Contents Weight of Contents Operating Weight Comp. All. Ope. Stress 110 °C 110 °C CS-2 K02700 137.9 MPa 137.9 MPa 131.1 MPa 50.000 mm 1.000 83162.0 N 193466.6 N 133.2 MPa Radiography Information: Full Radiography per UW-11(a) Type 1 Circ. Joint Efficiency 100 % Full Radiography per UW-11(a) Type 1 Long. Joint Efficiency E 100 % Required Thickness due to Internal Pressure [tr]: = (P•R)/(S•E-0.6•P) per UG-27 (c)(1) = (3.02•2003.2)/(137.9•1.0-0.6•3.02) = 44.4486 + 3.2000 = 47.6486 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: Less Operating Hydrostatic Head Pressure of 0.020 MPa = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9•1.0•46.8)/(2003.2+0.6•46.8) = 3 - 0 = 3 MPa Maximum Allowable Pressure, New and Cold [MAPNC]: = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9•1.0•50.0)/(2000.0+0.6•50.0) = 3 MPa Actual stress at given pressure and thickness, corroded [Sact]: = (P•(R+0.6•t))/(E•t) = (3.02•(2003.2+0.6•46.8))/(1.0•46.8) = 131.063 MPa % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 1.235 % LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Shell 4 Step: 12 2:42pm Page 54 of 165 Feb 9,2024 Minimum Design Metal Temperature Results: Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp. at Required thickness (UCS 66.1) -20 °C -22 °C Note: Post Weld Heat Treatment is required for this Element/Joint and it was specified as being heat treated. MDMT Design Information: MDMT Curve UCS-66(b) red. Governing Thk. Stress/Thk. Ratio UCS-66(c) red. D Yes 50.000 mm 0.961 No Press. at MDMT Min. Des. Mtl. Temp. Basic MDMT Temperature Difference Computed Min. Temp. Joint Efficiency E* PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. 3.056 MPa -5 °C -20 °C 2 °C -22 °C 100 % LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Right Head Step: 13 2:42pm Page 55 of 165 Feb 9,2024 Internal Pressure Calculation Results: ASME Code, Section VIII Division 1, 2021 Internal Pressure Results for: Right Head Elliptical Head Design Information: Design Pressure Material Length P 3.020 MPa SA-516 70 50.000 mm Int. Corr. All. c Ext. Corr. All. ce Inside Diameter Di Spec. Min. Thk t or e Surface Area Element Volume Empty Weight 3.2000 mm 0.0000 mm 4000.000 mm 47.6000 mm 18974526.0 mm² 9007.5 ltr 110304.6 N Int. Design Temperature Ext. Design Temperature External Pressure Chart UNS Number Allowable Stress (ope) S Allowable Stress (amb) Sa Actual Stress Spec. Nominal Thk. SG of Contents Weight of Contents Operating Weight Comp. All. Ope. Stress Aspect Ratio 110 °C 110 °C CS-2 K02700 137.9 MPa 137.9 MPa 136.2 MPa 56.000 mm 1.000 83162.0 N 193466.6 N 133.2 MPa 2.00 Radiography Information: Full Radiography per UW-11(a) Type 1 Circ. Joint Efficiency 100 % Full Radiography per UW-11(a) Type 1 Long. Joint Efficiency E 100 % Tolerance for Formed Heads per UG-81(a): Head inner surface maximum deviation outside the specified shape, 1.25% of D: 50.000 mm Head inner surface maximum deviation inside the specified shape, 0.625% of D: 25.000 mm Required Thickness due to Internal Pressure [tr]: = (P•D•Kcor)/(2•S•E-0.2•P) Appendix 1-4(c) = (3.02•4006.3999•0.998)/(2•137.9•1.0-0.2•3.02) = 43.8675 + 3.2000 = 47.0675 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: Less Operating Hydrostatic Head Pressure of 0.020 MPa = (2•S•E•t)/(Kcor•D+0.2•t) per Appendix 1-4 (c) = (2•137.9•1.0•44.4)/(0.998•4006.3999+0.2•44.4) = 3 - 0 = 3 MPa Maximum Allowable Pressure, New and Cold [MAPNC]: = (2•S•E•t)/(K•D+0.2•t) per Appendix 1-4 (c) = (2•137.9•1.0•47.6)/(1.0•4000.0+0.2•47.6) = 3 MPa Actual stress at given pressure and thickness, corroded [Sact]: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Right Head Step: 13 2:42pm Page 56 of 165 Feb 9,2024 = (P•(Kcor•D+0.2•t))/(2•E•t) = (3.02•(0.998•4006.3999+0.2•44.4))/(2•1.0•44.4) = 136.250 MPa Straight Flange Required Thickness: = (P•R)/(S•E-0.6•P) + c per UG-27 (c)(1) = (3.02•2003.2)/(137.9•1.0-0.6•3.02)+3.2 = 47.649 mm Straight Flange Maximum Allowable Working Pressure: Less Operating Hydrostatic Head Pressure of 0.020 MPa = (S•E•t)/(R+0.6•t) per UG-27 (c)(1) = (137.9 • 1.0 • 52.8)/(2003.2 + 0.6 • 52.8 ) = 4 - 0 = 4 MPa Factor K, corroded condition [Kcor]: = ( 2 + ( Inside Diameter/( 2 • Inside Head Depth ))²)/6 = ( 2 + ( 4006.4/( 2 • 1003.2 ))²)/6 = 0.997875 Percent Elong. per UCS-79, VIII-1-01-57 (75*tnom/Rf)*(1-Rf/Ro) 5.932 % Note: Please Check Requirements of UCS-79 as Elongation is > 5%. MDMT Calculations in the Knuckle Portion: Govrn. thk, tg = 47.6, tr = 44.4, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 1., Temp. Reduction = 0 °C Min Metal Temp. w/o impact per UCS-66, Curve D -21 °C MDMT Calculations in the Head Straight Flange: Govrn. thk, tg = 56.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.852, Temp. Reduction = 8 °C Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp. at Required thickness (UCS 66.1) -17 °C -26 °C Note: Post Weld Heat Treatment is required for this Element/Joint and it was specified as being heat treated. MDMT Design Information: MDMT Curve UCS-66(b) red. Governing Thk. Stress/Thk. Ratio UCS-66(c) red. D Yes 47.600 mm 1.000 No Press. at MDMT Min. Des. Mtl. Temp. Basic MDMT Temperature Difference Computed Min. Temp. Joint Efficiency E* 3.056 MPa -5 °C -21 °C 0 °C -21 °C 100 % Note: Temperature values displayed above are for the location with the highest basic MDMT Tolerance for Formed Heads per UG-81(a): LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element: Right Head Step: 13 2:42pm Page 57 of 165 Feb 9,2024 Head inner surface maximum deviation outside the specified shape, 1.25% of D: 50.000 mm Head inner surface maximum deviation inside the specified shape, 0.625% of D: 25.000 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Pressure Test Results: Shop Test Step: 14 2:42pm Page 58 of 165 Feb 9,2024 Hydrostatic Test Pressure Results: Pressure per UG99b = 1.30 * M.A.W.P. * Sa/S Pressure per UG99b[35] = 1.30 * Design Pres * Sa/S Pressure per UG99c = 1.30 * M.A.P. - Head(Hyd) Pressure per UG100 = 1.10 * M.A.W.P. * Sa/S Pressure per PED = max(1.43*DP, 1.25*DP*ratio) Pressure per PED&UG99b = max(1.43*DP, 1.3*DP*ratio) Pressure per App 27-4 = M.A.W.P. 3.948 3.900 4.211 3.340 4.290 4.290 3.037 MPa MPa MPa MPa MPa MPa MPa UG-99(b), Test Pressure Calculation: = Test Factor • MAWP • Stress Ratio = 1.3 • 3.037 • 1.0 = 3.948 MPa Horizontal 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 (MPa): From To Stress Allowable Ratio Pressure Left Head Shell 1 Shell 2 Shell 3 Shell 4 Right Head 180.0 173.2 173.2 173.2 173.2 180.0 235.8 235.8 235.8 235.8 235.8 235.8 0.763 0.734 0.734 0.734 0.734 0.763 3.99 3.99 3.99 3.99 3.99 3.99 Pad/Nozzle Ambient Operating Ratio Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Stress ratios for Nozzle and Pad Materials (MPa): Description N2-20`` N5-8'' N8-3'' N6-1'' N7-14'' N3-20'' N4-3'' N1-8'' N9-4'' N10-4'' Minimum 1.000 Stress ratios for Stiffening Ring Materials (MPa): Description Ambient Operating Ratio Ring R1 Ring R2 137.90 137.90 137.90 137.90 1.000 1.000 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Pressure Test Results: Shop Test Step: 14 2:42pm Ring R3 137.90 Page 59 of 165 Feb 9,2024 137.90 Minimum 1.000 1.000 Stress ratios for Pressurized Vessel Elements (MPa): Description Ambient Operating Ratio Left Head Shell 1 Shell 2 Shell 3 Shell 4 Right Head Counter Flg 1-20'' Blind Flg 1-20'' Counter flg 2 -20'' Blind flg 2-20'' 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Minimum 1.000 Hoop Stress in Nozzle Wall during Pressure Test (MPa): Description Ambient Operating Ratio N2-20`` N5-8'' N8-3'' N6-1'' N7-14'' N3-20'' N4-3'' N1-8'' N9-4'' N10-4'' 105.08 41.07 13.85 9.07 73.07 105.08 13.85 41.07 23.77 23.77 223.40 223.40 223.40 223.40 223.40 223.40 223.40 223.40 223.40 223.40 0.470 0.184 0.062 0.041 0.327 0.470 0.062 0.184 0.106 0.106 Elements Suitable for Test Pressure. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Pressure Test Results: Field Test Step: 15 2:42pm Page 60 of 165 Feb 9,2024 Hydrostatic Test Pressure Results: Pressure per UG99b = 1.30 * M.A.W.P. * Sa/S Pressure per UG99b[35] = 1.30 * Design Pres * Sa/S Pressure per UG99c = 1.30 * M.A.P. - Head(Hyd) Pressure per UG100 = 1.10 * M.A.W.P. * Sa/S Pressure per PED = max(1.43*DP, 1.25*DP*ratio) Pressure per PED&UG99b = max(1.43*DP, 1.3*DP*ratio) Pressure per App 27-4 = M.A.W.P. 3.948 3.900 4.214 3.340 4.290 4.290 3.037 MPa MPa MPa MPa MPa MPa MPa UG-99(b), Test Pressure Calculation: = Test Factor • MAWP • Stress Ratio = 1.3 • 3.037 • 1.0 = 3.948 MPa 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 (MPa): From To Stress Allowable Ratio Pressure Left Head Shell 1 Shell 2 Shell 3 Shell 4 Right Head 168.0 162.0 162.0 162.0 162.0 168.0 235.8 235.8 235.8 235.8 235.8 235.8 0.713 0.687 0.687 0.687 0.687 0.713 3.99 3.99 3.99 3.99 3.99 3.99 Pad/Nozzle Ambient Operating Ratio Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle Nozzle 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Stress ratios for Nozzle and Pad Materials (MPa): Description N2-20`` N5-8'' N8-3'' N6-1'' N7-14'' N3-20'' N4-3'' N1-8'' N9-4'' N10-4'' Minimum 1.000 Stress ratios for Stiffening Ring Materials (MPa): Description Ambient Operating Ratio Ring R1 Ring R2 137.90 137.90 137.90 137.90 1.000 1.000 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Pressure Test Results: Field Test Step: 15 2:42pm Ring R3 137.90 Page 61 of 165 Feb 9,2024 137.90 Minimum 1.000 1.000 Stress ratios for Pressurized Vessel Elements (MPa): Description Ambient Operating Ratio Left Head Shell 1 Shell 2 Shell 3 Shell 4 Right Head Counter Flg 1-20'' Blind Flg 1-20'' Counter flg 2 -20'' Blind flg 2-20'' 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 137.90 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Minimum 1.000 Hoop Stress in Nozzle Wall during Pressure Test (MPa): Description Ambient Operating Ratio N2-20`` N5-8'' N8-3'' N6-1'' N7-14'' N3-20'' N4-3'' N1-8'' N9-4'' N10-4'' 105.08 41.07 13.85 9.07 73.07 105.08 13.85 41.07 23.73 23.73 223.40 223.40 223.40 223.40 223.40 223.40 223.40 223.40 223.40 223.40 0.470 0.184 0.062 0.041 0.327 0.470 0.062 0.184 0.106 0.106 Elements Suitable for Test Pressure. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Ring MDMT Calcs: Step: 16 2:42pm Page 62 of 165 Feb 9,2024 MDMT Calculations for Stiffening Rings: MDMT Calculations for: Ring R1, Shell to Ring Junction, Curve: D Govrn. thk, tg = 16.0, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Attachment governing, Attachment stress = Shell stress per Code Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -46 °C -48 °C MDMT Calculations for: Ring R2, Shell to Ring Junction, Curve: D Govrn. thk, tg = 16.0, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Attachment governing, Attachment stress = Shell stress per Code Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -46 °C -48 °C MDMT Calculations for: Ring R3, Shell to Ring Junction, Curve: D Govrn. thk, tg = 16.0, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Attachment governing, Attachment stress = Shell stress per Code Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -46 °C -48 °C PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin External Pressure Calculations: Step: 17 2:42pm Page 63 of 165 Feb 9,2024 External Pressure Results Summary: External Pressure Calculation Results: ASME Code, Section VIII Division 1, 2021 External Pressure Calculations: From To Section Length mm Outside Diameter mm Corroded Thickness mm Factor A Factor B MPa 10 20 Ring 30 40 Ring 50 Ring 60 70 80 90 100 20 Ring 30 40 Ring 50 Ring 60 70 80 90 100 110 No Calc 2733.33 2600 2600 2600 2600 2600 2733.33 No Calc No Calc No Calc No Calc No Calc 4095.2 4100 4100 4100 4100 4100 4100 4100 4095.2 ... ... ... ... 44.4 46.8 46.8 46.8 46.8 46.8 46.8 46.8 44.4 56.8 76.8 60.3 76.8 0.0015058 0.0025688 0.0027134 0.0027134 0.0027134 0.0027134 0.0027134 0.0025688 0.0015058 No Calc No Calc No Calc No Calc 96.8897 109.018 110.069 110.069 110.069 110.069 110.069 109.018 96.8897 No Calc No Calc No Calc No Calc External Pressure Calculations: From To External Actual T. mm External Required T. mm External Design Pressure MPa External M.A.W.P. MPa 10 20 Ring 30 40 Ring 50 Ring 60 70 80 90 100 20 Ring 30 40 Ring 50 Ring 60 70 80 90 100 110 47.6 50 50 50 50 50 50 50 47.6 60 80 63.5 80 No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc 59.6895 No Calc No Calc ... ... ... ... ... ... ... ... ... ... ... ... ... 1.16719 1.6592 1.6752 1.6752 1.6752 1.6752 1.6752 1.6592 1.16719 No Calc No Calc No Calc No Calc Minimum 1 External Pressure Calculations: From To Actual Length Bet. Stiffeners mm Allowable Length Bet. Stiffeners mm Ring Inertia Required mm^4 Ring Inertia Available mm^4 10 20 No Calc No Calc No Calc No Calc LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin External Pressure Calculations: Step: 17 2:42pm 20 Ring 30 40 Ring 50 Ring 60 70 80 90 100 Ring 30 40 Ring 50 Ring 60 70 80 90 100 110 2733.33 2600 2600 2600 2600 2600 2733.33 No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc Page 64 of 165 Feb 9,2024 No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc Elements Suitable for External Pressure. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element and Detail Weights: Step: 18 2:42pm Page 65 of 165 Feb 9,2024 Element and Detail Weights: From To Element Metal Wgt. kgm Element Volume ltr Corroded Metal Wgt. kgm Corroded ID Volume ltr Extra due Misc % kgm 10 20 30 40 50 60 70 80 90 100 20 30 40 50 60 70 80 90 100 110 8822.36 13805.9 7396.01 13805.9 13805.9 8822.36 168.368 292.265 176.061 292.265 9007.51 35192.1 18852.9 35192.1 35192.1 9007.51 30.073 ... 30.7477 ... 8318.23 12932.5 6928.13 12932.5 12932.5 8318.23 162.288 292.265 169.847 292.265 9049.81 35304.8 18913.3 35304.8 35304.8 9049.81 30.5607 ... 31.2354 ... 617.565 966.411 517.721 966.411 966.411 617.565 11.7858 20.4586 12.3243 20.4586 Total 67387 142505.23 63278 142989.27 4717 From Type Weight of Detail kgm X Offset, Dtl. Cent. mm Y Offset, Dtl. Cent. mm Z Offset Dtl. Cent. mm 10 Liqd 10 Insl 20 Sadl 20 Plat 20 Liqd 20 Insl 20 Ring 20 Nozl 20 Nozl 20 Wght 20 Wght 20 Forc 30 Liqd 30 Insl 30 Nozl 30 Wght 40 Liqd 40 Insl 40 Ring 40 Nozl 40 Nozl 40 Wght 40 Wght 40 Wght 40 Wght 50 Sadl 50 Liqd 50 Insl 50 Ring 50 Nozl 50 Nozl 4501.01 235.383 1364.39 7727.12 17585.3 350.861 284.128 1125.05 107 525 90 ... 9420.72 187.962 29.96 60 17585.3 350.861 284.128 5.68888 314.313 2420 85 85 20 1364.39 17585.3 350.861 284.128 1133.29 29.96 -333.333 -475 1950 5000 1400 1400 2350 1600 500 1950 1600 1950 750 750 750 750 1400 1400 650 1200 2000 200 200 200 2000 850 1400 1400 450 1200 2000 1000 ... 2142 2126.2 1000 ... ... 2254 2101.6 ... 1800 ... 1000 ... 2036.83 1650 1000 ... ... 2012.7 2177.8 1900 ... ... 1800 2142 1000 ... ... 2254 2036.83 ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... 1800 -1800 ... ... ... ... ... ... ... ID Weight of Details: Description Operating fluid INS-1 Fixed saddle PLATFORM Operating fluid INS-2 Ring R1 N2-20`` N5-8'' PUMP WT 1 NOZZ PROJ 4 Nozzle_load_1 Operating fluid INS-3 N8-3'' INTRNL PROJ 1 Operating fluid INS-4 Ring R2 N6-1'' N7-14'' LIFTING LUG WT CLEAT WT1 CLEAT WT2 DAVIT WT Sliding saddle Operating fluid INS-5 Ring R3 N3-20'' N4-3'' LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element and Detail Weights: Step: 18 2:42pm 50 Wght 50 Wght 50 Wght 50 Forc 60 Liqd 60 Insl 60 Nozl 80 Nozl 100 Nozl 525 60 90 ... 4501.01 235.383 107 48.6101 48.6101 850 2000 1200 850 383.333 525 916.025 ... ... ... 1650 1800 ... 1000 ... 1000 205.006 205.006 Page 66 of 165 Feb 9,2024 ... ... ... ... ... ... ... ... ... PUMP WT 2 INTRNL PROJ 2 INTRNL PROJ 3 Nozzle _load_2 Operating fluid INS-6 N1-8'' N9-4'' N10-4'' Total Weight of Each Detail Type: Saddles Platforms Liquid Insulation Stiffeners Nozzles Weights 2728.8 7727.1 71178.8 1711.3 852.4 2949.5 3960.0 Sum of the Detail Weights 91107.8 kgm Note: Because some nozzles were attached to a head or flange, their weights include the attached head or flange. Weight Summation Results: (kgm) Fabricated Shop Test Shipping Erected Empty Operating Main Elements Saddles Stif. Rings Nozzles Wld Weights Platforms Insulation Ope Weights Ope. Liquid Test Liquid 71110.4 2728.8 852.4 2949.5 2910.0 ... ... ... ... ... 71110.4 2728.8 852.4 2949.5 2910.0 ... ... ... ... 142418.2 71110.4 2728.8 852.4 2949.5 2910.0 7727.1 1711.3 ... ... ... 71110.4 2728.8 852.4 2949.5 2910.0 7727.1 1711.3 ... ... ... 71110.4 2728.8 852.4 2949.5 2910.0 7727.1 1711.3 ... ... ... 71110.4 2728.8 852.4 2949.5 2910.0 7727.1 1711.3 1050.0 71178.8 ... Totals 80551.1 222969.3 89989.5 89989.5 89989.5 162218.2 Field Installation Options: Miscellaneous Weight Percent: 7.0 % Note that the above value for the miscellaneous weight percent has been applied to the shells/heads/flange/tubesheets/tubes etc. in the weight calculations for metallic components. Weight Summary: Fabricated Wt. Shop Test Wt. Shipping Wt. - Bare Weight without Removable Internals - Fabricated Weight + Water ( Full ) - Fab. Weight + removable Intls.+ Shipping App. 80551.1 kgm 222969.3 kgm 89989.5 kgm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Element and Detail Weights: Step: 18 2:42pm Page 67 of 165 Feb 9,2024 Erected Wt. - Fab. Wt + or - loose items (trays,platforms etc.) Ope. Wt. no Liq - Fab. Weight + Internals. + Details + Weights Operating Wt. - Empty Weight + Operating Liq. Uncorroded Oper. Wt. + CA - Corr Wt. + Operating Liquid Field Test Wt. - Empty Weight + Water (Full) The Corroded Weight and thickness are used in the Horizontal Vessel Analysis (Ope Case) and Earthquake Load Calculations. Field Test weight is computed in the corroded condition. Surface Areas of Elements: From To Outside Surface Area mm² Inside Surface Area mm² 10 20 30 40 50 60 70 80 90 100 20 30 40 50 60 70 80 90 100 110 18974526 36065484 19320796 36065484 36065484 18974526 611443 666068 619962 666068 17972084 35185836 18849556 35185836 35185836 17972084 243549 ... 248925 ... Total Total 168029840.0 168.0 160843696.0 mm² 160.8 m² PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. 89989.5 kgm 89989.5 kgm 162218.2 kgm 157835.4 kgm 229489.5 kgm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Flange MAWP: Step: 19 2:42pm Page 68 of 165 Feb 9,2024 Nozzle Flange MAWP Results: (MPa & °C) Nozzle Description Flange Rating Ope. Ambient Design Temp Class Grade/ Group Equiv. Press N5-8'' N8-3'' N6-1'' N7-14'' N4-3'' N1-8'' N9-4'' N10-4'' 4.63 4.63 4.63 4.63 4.63 4.63 4.63 4.63 5.11 5.11 5.11 5.11 5.11 5.11 5.11 5.11 110 110 110 110 110 110 110 110 300 300 300 300 300 300 300 300 GR 1.1 GR 1.1 GR 1.1 GR 1.1 GR 1.1 GR 1.1 GR 1.1 GR 1.1 3.041 ... ... ... ... 3.041 ... ... Min Rating 3.905 5.110, [for Core Elements] - - - - - - Max Pressure UG-44(b) 50% DNV 3.905 ... ... ... ... 3.905 ... ... 4.630 ... ... ... ... 4.630 ... ... 3.90 ... ... ... ... 3.90 ... ... ... ... ... Selected Method for Derating ASME B16.5 Flange MAWP: ASME UG-44(b) The UG-44(b) Method is based on the paper PVP 2013-97814. PV Elite uses the maximum loads from each load category to determine ME and FE. In many cases, the computed maximum allowable pressure will be greater than the flange rating. In these cases, the minimum of the rating from the table and the UG-44(b) method will be used. SA-193 B8 Cl. 2 bolts or ones with higher allowable stresses at the specified bolt size shall be used. The axial force FE must put the nozzle in tension (-P for 107/297; +Fr for PD 5500 AnnexG) to be considered. Nozzle Description N5-8'' N1-8'' Gasket Dimension G mm Fm Value Resolved Moment ME N-mm Axial Force FE N MAWP PD MPa Maximum Pressure Pmax MPa Pass Fail 248.539 248.539 0.50 0.50 8799995 8799995 5940 5940 3.037 3.037 3.905 3.905 Pass Pass Evaluating Flange on Nozzle [N5-8'']: = 16•ME + 4•FE•G ≤ π•G³[((PR - PD) + FM • PR)] = 16(8799995)+4•abs(5940)248.539 < π•248.539³[(4.630-3.037)+.500•4.630] = 0.14671+09 ≤ 0.18859+09 Check Passes Maximum Pressure for Flange on Nozzle N5-8'' [Pmax]: = min( PR, FM • PR + PR - (16•ME + 4•FE • G) / ( π • G³ )) = min( 4.630, 0.500 • 4.630 + 4.630 - 146707584.0/(π • 248.539³) = min( 4.630, 3.905 ) = 3.905 MPa Evaluating Flange on Nozzle [N1-8'']: = 16•ME + 4•FE•G ≤ π•G³[((PR - PD) + FM • PR)] = 16(8799995)+4•abs(5940)248.539 < π•248.539³[(4.630-3.037)+.500•4.630] = 0.14671+09 ≤ 0.18859+09 Check Passes Maximum Pressure for Flange on Nozzle N1-8'' [Pmax]: = min( PR, FM • PR + PR - (16•ME + 4•FE • G) / ( π • G³ )) = min( 4.630, 0.500 • 4.630 + 4.630 - 146707584.0/(π • 248.539³) LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Flange MAWP: Step: 19 2:42pm Page 69 of 165 Feb 9,2024 = min( 4.630, 3.905 ) = 3.905 MPa Pressure Ratings are per ASME B16.5 2017 Metric Edition PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Wind Load Calculation: Step: 20 2:42pm Page 70 of 165 Feb 9,2024 Wind Load Calculation Results: Input Values: Wind Design Code Wind Load Reduction Scale Factor Basic Wind Speed [V] Surface Roughness Category Importance Factor Type of Surface Base Elevation Percent Wind for Hydrotest Using User defined Wind Press. Vs Elev. Height of Hill or Escarpment H or Hh Distance Upwind of Crest Lh Distance from Crest to the Vessel x Type of Terrain ( Hill, Escarpment ) Damping Factor (Beta) for Wind (Ope) Damping Factor (Beta) for Wind (Empty) Damping Factor (Beta) for Wind (Filled) ASCE-7 2010 1.100 180 C: Open Terrain 1.0 Moderately Smooth 0 50.0 N 0 0 0 Flat 0.0100 0.0000 0.0000 km/hr mm mm mm mm Wind Analysis Results The importance factor is not used in the calculation of wind pressure vs. elevation for the selected wind code. Static Gust-Effect Factor, Operating Case [G]: = min(0.85, 0.925((1 + 1.7 • gQ • Izbar • Q )/( 1 + 1.7 • gV • Izbar))) = min(0.85,0.925((1+1.7•3.4•0.228•0.991)/(1+1.7•3.4•0.228))) = min(0.85, 0.92 ) = 0.850 Natural Frequency of Vessel (Operating) Natural Frequency of Vessel (Empty) Natural Frequency of Vessel (Test) Force Coefficient Structure Height to Diameter ratio 33.000 Hz 33.000 Hz 33.000 Hz [Cf] 0.511 1.649 This is classified as a rigid structure. Static analysis performed. Sample Calculation for the First Element: The ASCE code performs calculations in Imperial Units. The wind pressure is therefore computed in these units. Value of [α] and [Zg]: Exposure Category: C from Table 26.9.1 α = 9.5: Zg = 274320.0 mm Effective Height [z]: = Centroid Height + Vessel Base Elevation = 2350.0 + 0.0 = 2350.0 mm = 7.71 ft. Imperial Units Velocity Pressure coefficient evaluated at height z [Kz]: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Wind Load Calculation: Step: 20 2:42pm Page 71 of 165 Feb 9,2024 Because z (7.71 ft.) < 15 ft. = 2.01( 15 / Zg )2/α = 2.01( 15/900.0 )2/9.5 = 0.849 Type of Hill: No Hill Wind Directionality Factor [Kd]: = 0.95, per Table 26.6-1 As there is No Hill Present: [Kzt]: K1 = 0, K2 = 0, K3 = 0 Topographical Factor [Kzt]: = ( 1 + K1 • K2 • K3 )² = ( 1 + 0.0• 0.0• 0.0 )² = 1.0 Velocity Pressure evaluated at height z, Imperial Units [qz]: = max( 16, 0.00256 • Kz • Kzt • Kd • V(mph)² ) = max( 16, 0.00256 • 0.849 • 1.0 • 0.95 • 111.85² ) = 25.8 psf [1.237] kPa Force on the first element [F]: = qz • G • Cf • WindArea = 25.828 • 0.85 • 0.511 • 41.637 = 466.9 lbs. [2076.9] N Element Hgt (z) mm Left Head 2350.0 Shell 1 2350.0 Shell 2 2350.0 Shell 3 2350.0 Shell 4 2350.0 Right Head 2350.0 Counter Flg 1-2 79.3 Blind Flg 1-20' 40.0 Counter flg 2 81.0 Blind flg 2-20' 40.0 K1 K2 K3 Kz Kzt qz kPa 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.849 0.849 0.849 0.849 0.849 0.849 0.849 0.849 0.849 0.849 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.237 1.237 1.237 1.237 1.237 1.237 1.237 1.237 1.237 1.237 Platform Load Calculations ID PLATFORM Wind Area mm² Elevation mm Pressure kPa Force N Cf 11999999.00 2350.00 1.27 15198.12 1.20 Wind Loads on Masses/Equipment/Piping ID PUMP WT 1 Wind Area mm² Elevation mm Pressure kPa Force N 0.00 2350.00 1.27 0.00 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Wind Load Calculation: Step: 20 2:42pm NOZZ PROJ 4 INTRNL PROJ 1 LIFTING LUG W CLEAT WT1 CLEAT WT2 DAVIT WT PUMP WT 2 INTRNL PROJ 2 INTRNL PROJ 3 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 4150.00 4000.00 4250.00 2350.00 2350.00 4150.00 2350.00 4000.00 4150.00 Page 72 of 165 Feb 9,2024 1.29 1.29 1.29 1.27 1.27 1.29 1.27 1.29 1.29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Wind Load Calculation: From To Wind Height mm Wind Diameter mm Wind Area mm² Wind Pressure kPa Element Wind Load N 10 20 30 40 50 60 70 80 90 100 20 30 40 50 60 70 80 90 100 110 2350 2350 2350 2350 2350 2350 79.276 40 81.026 40 5034.24 5040 5040 5040 5040 5034.24 586.74 929.64 586.74 929.64 3868196 14112000 7560000 14112000 14112000 3868196 93028.8 74371.2 95082.4 74371.2 1.2366 1.2366 1.2366 1.2366 1.2366 1.2366 1.2366 1.2366 1.2366 1.2366 2284.57 25052.5 4464.96 8334.58 8334.58 2284.57 54.9431 43.9238 56.1559 43.9238 Note: The Wind Loads calculated and printed in the Wind Load calculation report have been factored by the input scalar/load reduction factor of: 1.100. Be sure the wind speed is in accordance with the specified wind design code. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Earthquake Load Calculation: Step: 21 2:42pm Page 73 of 165 Feb 9,2024 Earthquake Load Calculation Results: Earthquake Load Calculation: Input Values: Seismic Design Code Seismic Load Reduction Scale Factor Importance Factor Table Value Fa Table Value Fv Short Period Acceleration value Ss Long Period Acceleration Value Sl Moment Reduction Factor Tau Force Modification Factor R Site Class Component Elevation Ratio Amplification Factor Force Factor Consider Vertical Acceleration Minimum Acceleration Multiplier User Value of Sds (used if > 0 ) User Value of Sd1 (used if > 0 ) z/h Ap ASCE 7-2010 1.000 1.250 1.600 2.224 0.160 0.144 1.000 3.000 D 1.000 1.000 0.000 No 0.000 0.000 0.000 Seismic Analysis Results: SMS = Fa * Ss = 1.6 * 0.16 = 0.256 SM1 = Fv * S1 = 2.224 * 0.144 = 0.32 SDS = 2/3 * Sms = 2/3 * 0.256 = 0.171 SD1 = 2/3 * Sm1 = 2/3 * 0.32 = 0.214 Check Approximate Fundamental Period from 12.8-7 [Ta]: = Ct • hnx where Ct = 0.020, x = 0.75 and hn = Structural Height (ft.) = 0.020( 14.27170.75 ) = 0.147 seconds The Coefficient Cu from Table 12.8-1 is : 1.500 Fundamental Period (1/Frequency) [T]: = ( 1/Natural Frequency ) = ( 1/33.0 ) = 0.030 Check the Value of T which is the smaller of Cu•Ta and T: = Minimum Value of ( 1.5 • 0.147, 0.03 ) per 12.8.2 = 0.030 Loads on Building/Structure Supported Equipment: Seismic Force per equation 13.3-1, [Fp]: = 0.4 • Ap • Sds • W( 1 + 2•(z/h) ) / ( R / Ie ) = 0.4 • 1.0 • 0.171 • 1547733( 1 + 2•1.0 )/( 3.0/1.25 ) = 132073.219 N Maximum value of Fp per equation 13.3-2: = 1.6 • Sds • I • W = 1.6 • 0.171 • 1.25 • 1547733 = 528293 N LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Earthquake Load Calculation: Step: 21 2:42pm Page 74 of 165 Feb 9,2024 Minimum value of Fp per equation 13.3-3: = 0.3 • 0.17 • 1.25 • 1547733 = 99054.914 N Total Base Shear V = Fp, [V]: = 132073.219 N Earthquake Load Calculation: From To Earthquake Height mm Earthquake Weight N Element Ope Load N 10 20 20 30 40 50 50 60 20 30 30 40 50 0 60 70 2000 2000 2000 2000 2000 2000 2000 2000 193467 193467 193467 193467 193467 193467 193467 193467 16509.2 16509.2 16509.2 16509.2 16509.2 16509.2 16509.2 16509.2 PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Center of Gravity Calculation: Step: 22 2:42pm Page 75 of 165 Feb 9,2024 Shop/Field Installation Options : Platform(s) installed in the Shop. Insulation is installed in the Shop. Note : The CG is computed from the first Element From Node Center of Gravity of the Saddles Center of Gravity of the Platforms Center of Gravity of the Liquid Center of Gravity of the Insulation Center of Gravity of the Stiffening Rings Center of Gravity of the Nozzles Center of Gravity of the Added Weights (Operating) Center of Gravity of the Added Weights (Empty) 5000.000 mm 5050.000 mm 5000.000 mm 4999.999 mm 4999.999 mm 5233.577 mm 4754.167 mm 4665.464 mm Center of Gravity of Bare Shell New and Cold Center of Gravity of Bare Shell Corroded 4999.625 mm 4999.610 mm Vessel CG in the Operating Condition Vessel CG in the Fabricated (Shop/Empty) Condition Vessel CG in the Test Condition 5000.474 mm 5000.822 mm 5000.309 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 76 of 165 Feb 9,2024 ASME VIII Division 2 Horizontal Vessel Analysis, Left Saddle: Horizontal Vessel Stress Calculations : Operating Case Note: Wear Pad Width (550.00) is less than 1.56*sqrt(rm*t) and less than 2a. The wear plate will be ignored. Minimum Wear Plate Width to be considered in analysis [b1]: = min( b + 1.56• ( Rm • t ), 2a ) = min( 290.0 + 1.56• ( 2026.5999 • 46.8 ), 2 • 2000.0 ) = 770.4315 mm Input and Calculated Values: Vessel Mean Radius Shell Thickness used in this Case Stiffened Vessel Length per 4.15.6 Distance from Saddle to Vessel tangent Saddle Width Saddle Bearing Angle Rm t L a1 or a 2026.60 50.000 10000.00 2000.00 b1 or b delta or theta 290.00 120.00 mm degrees Hi or hm 1025.40 mm 137.90 137.90 1.00 1.00 MPa MPa 2350.00 0.00 mm 1006202.00 N Inside or Mean Depth of Head Shell Allowable Stress used in Calculation Head Allowable Stress used in Calculation Circumferential Efficiency in Plane of Saddle Circumferential Efficiency at Mid-Span Distance from Saddle Base to Centerline Coefficient of Friction B mu Saddle Force Q, Operating Case Pressure used in Analysis P 3.000 Horizontal Vessel Analysis Results: Actual MPa Allowable MPa Long. Stress at Top of Midspan Long. Stress at Bottom of Midspan Long. Stress at Top of Saddles Long. Stress at Bottom of Saddles 64.40 65.51 72.11 60.99 137.90 137.90 137.90 137.90 Tangential Shear in Shell Circ. Stress at Horn of Saddle Circ. Compressive Stress in Shell 6.56 64.87 2.12 110.32 172.37 137.90 Intermediate Results: Saddle Reaction Q due to Wind or Seismic: Transverse Saddle Reaction Force [Fwt]: = Ftr( Ft/Num of Saddles + Z Force Load ) • B / E = 3.0( 50954.7/2 + 50098 ) • 2350.0/3550.0 = 150085.5 N mm mm mm mm MPa LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 77 of 165 Feb 9,2024 Longitudinal Saddle Reaction Force [Fwl]: = max( Fl, Sum of X Forces) • B / Ls = max( 33829.29, 101037 ) • 2350.0/6000.0 = 39572.8 N Saddle Reaction Force due to Earthquake Fl [Fsl]: = max( Fl, Sum of X Forces ) • B / Ls = max( 132073.22, 101037 ) • 2350.0/6000.0 = 51728.7 N Saddle Reaction Force due to Earthquake Ft [Fst]: = Ftr( Ft/Num of Saddles + Z Force Load ) • B / E = 3.0( 132073/2 + 50098 ) • 2350.0/3550.0 = 230632.7 N Load Combination Results for Q + Wind or Seismic [Q]: = Saddle Load + max( Fwl, Fwt, Fsl, Fst ) = 775569 + max( 39573, 150085, 51729, 230633 ) = 1006202.0 N Longitudinal Wind Force [Fl]: = WindScalar • WindPress( Platform Area + ( π/4( OD • WindDiaMult )² ) ) = 1.1 • 1236.622( 4.92 + π/4( 4.2 • 1.2 )² ) = 33831.035 N Summary of Loads at the Base of this Saddle: Vertical Load (including saddle weight) Transverse Shear Load Longitudinal Shear Load 1019581.25 116134.20 132073.23 N N N Formulas and Substitutions for Horizontal Vessel Analysis: Note: Wear Plate is Welded to the Shell, k = 0.1 Saddle Dimension [E]: = Baseplate Length = 3550.000 mm The Computed K values from Table 4.15.1: K1 = 0.1066 K2 = 1.1707 K3 = 0.8799 K5 = 0.7603 K6 = 0.0529 K7 = 0.0518 K9 = 0.2711 K10 = 0.0581 K1* = 0.1923 K4 K8 = 0.4011 = 0.3405 Note: Dimension a is greater than or equal to Rm/2. Moment per Equation 4.15.1 [M1]: = -Q•a [1 - (1- a/L + (Rm²-hm²)/(2a•L))/(1+(4hm²)/3L)] = -1006202•2000.0[1-(1-2000.0/10000.0+(2026.6²-1025.4²)/ (2•2000.0•10000.0))/(1+(4•1025.4)/(3•10000.0))] = -461061984.0 N-mm Moment per Equation 4.15.2 [M2]: = Q•L/4(1+2(Rm²-hm²)/(L²))/(1+(4hm²)/( 3L))-4a/L = 1006202•10000/4(1+2(2027²-1025²)/(10000²))/(1+(4•1025)/ (3•10000))-4•2000/10000 = 335923520.0 N-mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 78 of 165 Feb 9,2024 Longitudinal Stress at Top of Shell (4.15.4) [α1]: = P • Rm/(2t) - M2/(π•Rm²t) = 3.0 • 2026.6/(2•46.8) - 0.33592E+09/(π•2026.6²•46.8) = 64.40 MPa Longitudinal Stress at Bottom of Shell (4.15.5) [α2]: = P • Rm/(2t) + M2/(π • Rm² • t) = 3.0 • 2026.6/(2 • 46.8) + 0.33592E+09/(π • 2026.6² • 46.8 ) = 65.51 MPa Longitudinal Stress at Top of Shell at Support (4.15.8) [σ✱3]: = P • Rm/(2t) - M1/(K1•π•Rm²t) = 3.0•2026.6/(2•46.8)--0.5E+09/(0.1066•π•2026.6²•46.8) = 72.11 MPa Longitudinal Stress at Bottom of Shell at Support (4.15.9) [ σ✱4]: = P • Rm/(2t) + M1/(K1✱ • π • Rm² • t) = 3.0•2026.6/(2•46.8)+-0.5E+09/(0.1923•π•2026.6²•46.8) = 60.99 MPa Maximum Shear Force in the Saddle (4.15.3) [T]: = Q(L-2a)/(L+(4•hm/3)) = 1006202( 10000.0 - 2 • 2000.0)/(10000.0 + ( 4 • 1025.4/3)) = 531108.2 N Shear Stress in the shell no rings, not stiffened (4.15.12) [α2]: = K2 • T / ( Rm • t ) = 1.1707 • 531108/( 2026.5999 • 46.8 ) = 6.56 MPa Decay Length (4.15.20) [x1,x2]: = 0.78 • ( Rm • t ) = 0.78 • ( 2026.6 • 46.8 ) = 240.216 mm Circumferential Stress in shell, no rings (4.15.21) [α6]: = -K5 • Q • k / ( t( b + X1 + X2 ) ) = - 0.7603 • 1006202 • 0.1/( 46.8( 290.0 + 240.22 + 240.22 ) ) = -2.12 MPa Circ. Comp. Stress at Horn of Saddle, L<8Rm (4.15.23) [σ7✱]: = -Q/(4•t(b+X1+X2)) - 12•K7•Q•Rm/(L•t²) = -1006202/(4•46.8(290.0+240.216+240.216)) 12 • 0.052 • 1006202 • 2026.6/(10000.001 • 46.8²) = -64.87 MPa Effective reinforcing plate width (4.15.24) [B1]: = min( b + 1.56 • ( Rm • t ), 2a ) = min( 290.0 + 1.56 • ( 2026.6 • 46.8 ), 2 • 2000.0 ) = 770.43 mm Distance between Saddle Supports [Ls]: = 6000.0 mm Free Un-Restrained Thermal Expansion between the Saddles [Exp]: = α • Ls( Design Temperature - Ambient Temperature ) LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 79 of 165 Feb 9,2024 = 0.000012 • 6000.0( 110.0 - 21.1 ) = 6.489 mm Results for Vessel Ribs, Web and Base: Baseplate Length Baseplate Thickness Baseplate Width Number of Ribs ( inc. outside ribs ) Rib Thickness Web Thickness Web Location Saddle Yield Stress Height of Web at Center Friction Coefficient Bplen Bpthk Bpwid Nribs Ribtk Webtk Webloc Sy Hw,c mu 3550.0000 25.0000 300.0000 4 20.0000 20.0000 Center 237.5 300.0 0.000 mm mm mm mm mm MPa mm Moment of Inertia of Saddle - Transverse Direction (90 degrees to long axis) Inertia of Shell [ShellInertia]: = (( 1.56 • ( R • t ) + WearPlateWidth )t³ )/12 = (( 1.56 • ( 2003.2 • 46.8 ) + 550.0 )46.8³ )/12 = 8778111.000 mmα Resolved Inertia for the Shell [I,shell]: = ShellInertia + AShell( C1 - Y )² = 8778111 + 48094.016( 73.461 - 23.4 )² = 129308360.000 mmα Shell Wearplate Web BasePlate Totals B mm D mm Y mm A mm² AY mm³ I + AD^(2) mm^4 1027.6 550.0 20.0 300.0 ... 46.8 16.0 259.0 25.0 ... 23.4 54.8 192.3 334.3 ... 48094.0 8800.0 5180.0 7500.0 69574.0 1125400.0 482240.0 996113.4 2507249.0 5111002.0 0.129E+09 0.325E+07 0.102E+09 0.511E+09 0.745E+09 Distance to Centroid [C1]: = AY / A = 5111002/69574.016 = 73.461 mm Angle [α]: = 180 - Saddle Angle/2 = 180 - 120.0/2 = 120.0 Saddle Splitting Coefficient [K1]: = ( 1 + cos(α) - 0.5•sin(α)² )/(π - α + sin(α)cos(α) ) = ( 1 + cos(120.0) - 0.5•sin(120.0)² )/(π - 2.094 + sin(120.0)cos(120.0) ) = 0.2035 Saddle Splitting Force [Fh]: = K1 • Q = 0.204 • 1006202 = 204783.9375 N Tension Stress, St = ( Fh/As ) = 9.5345 MPa LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Allowed Stress, Sa = 0.6 * Yield Str = Page 80 of 165 Feb 9,2024 142.5000 MPa = 142047936.0000 N-mm Bending Stress, Sb = ( M * C1 / I ) = Allowed Stress, Sa = 2/3 * Yield Str = 13.9959 158.3333 MPa MPa Saddle Splitting Dimension [d]: = B - R • sin(theta/2)/(theta/2 in radians) = 2350.0 - 2003.2 • sin(120.0/2)/1.0472 = 693.367 mm Bending Moment, M = Fh * d Minimum Thickness of Baseplate per Moss: = ( 3( Q + SaddleWt )BasePlateWidth / ( 4 • BasePlateLength • AllStress )) = ( 3(1006202 + 13379)300.0/( 4 • 3550.0 • 158.333 )) = 20.203 mm Calculation of Axial Load, Intermediate Values and Compressive Stress: Web Length Dimension [ Web Length ]: = 2 • cos( 90 - Saddle Angle/2 )( Inside Radius + Shell Thk + Wear Plate Thk ) = 2 • cos( 90 - 120.0/2 )( 2000.0 + 50.0 + 16.0 ) = 3578.417 mm Distance between Ribs [e]: = Web Length / ( Nribs - 1 ) = 3578.4167/( 4 - 1 ) = 1192.806 mm Baseplate Pressure Area [Ap]: = e • Bpwid / 2 = 1192.8055 • 300.0/2 = 178920.828 mm² Bearing Pressure [Bp]: = Q / ( BasePlateLength • BasePlateWidth ) = 1006202/( 3550.0 • 300.0 ) = 0.945 N/mm² Axial Load [P]: = Ap • Bp = 178920.8 • 0.94 = 169042.734 N Area of the Rib and Web [Ar]: = Rib Area + Web Area = 5400.0 + 11928.056 = 17328.055 mm² Compressive Stress [Sc]: = P/Ar = 169042.7/17328.0547 = 9.756 MPa Check of Outside Ribs: Inertia of Saddle, Outer Ribs - Longitudinal Direction LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Rib+Web Page 81 of 165 Feb 9,2024 B D Y A AY Io 20.0 290.0 ... 5800.0 ... 0.406E+08 Rib dimension [D]: = Saddle Width - Web Thickness = 290.0 - 20.0 = 270.000 mm Distance to Centroid from Datum [ytot]: = AY / A = 0.0/17328.055 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 290.0/2 = 145.000 mm Radius of Gyration [r]: = ( Total Inertia / Total Area ) = ( 40648296/17328.055 ) = 48.434 mm Length of Outer Rib, step 1, [Lw]: = 2 • sin( saddle bearing angle / 2 )( radius + shlthk + wpdthk ) = 2 • sin( 120.0/2 )( 2000.0 + 50.0 + 16.0 ) = 3578.417 mm Length of Outer Rib, step 2, [Bd]: = Baseplate length - clearance = 3550.0 - 50.8 = 3499.200 mm Length of Outer Rib, step 3, [Dd]: = ( Lw - Bd )/2 = ( 3578.417 - 3499.2 )/2 = 39.608 mm Length of Outer Rib [L]: = ( Rl² + Dd² ) = ( 1292.607² + 39.608² ) = 1292.607 mm Intermediate Term [Cc]: = ( 2 • π² • Elastic Modulus / Yield Stress ) = ( 2 • π² • 199955/237.5 ) = 128.914 Slenderness ratio [KL/r]: = KL/r = 1 • 1292.607/48.434 = 26.688 Bending Moment [Rm]: = Fl /( 2 • Bplen ) • e • L / 2 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 82 of 165 Feb 9,2024 = 132073.2/( 2 • 3550.0 ) • 1192.806 • 1292.61/2 = 14346256.000 N-mm Compressive Allowable, KL/r < Cc ( 26.6882 < 128.9137 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2•Cc²))Fy/(5/3+3•(Klr)/(8•Cc)-(Klr³)/(8•Cc³) = ( 1-( 26.69 )²/(2 • 128.91² ))238/ ( 5/3+3•(26.69)/(8• 128.91)-( 26.69³)/(8•128.91³) = 133.3 MPa AISC Unity Check of Outside Ribs ( must be ≤ 1 ) = Sc/Sca + ( Rm • C1 / I )/Sba = 9.76/133.32 + ( 14346256 • 145.0/40648336 )/158.33 = 0.396 Check of Inside Ribs: Inertia of Saddle, Inner Ribs - Axial Direction B D Rib Web Totals 20.0 1192.8 ... 270.0 20.0 ... Y A AY Io 0.0 0.0 ... 5400.0 23856.1 29256.1 0.0 0.0 ... 0.406E+08 0.795E+06 0.414E+08 Distance to Centroid from Datum [ytot]: = AY / A = 0.0/29256.111 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 290.0/2 = 145.000 mm Length of Inner Rib [L]: = Saddle Height - ( (Ro + Wpdthk)² - (Pitch/2)² ) - Bpthk = 2350.0 - ( (2066.0 + 16.0)² - (1192.806/2)² ) - 25.0 = 346.956 mm Radius of Gyration [r]: = ( Total Inertia / Total Area ) = ( 41430164/29256.111 ) = 37.631 mm Slenderness ratio [KL/r]: = KL/r = 1 • 346.956/37.631 = 9.220 Unit Force [Force,u]: = Fl / ( 2 • Baseplate Length ) = 132073.219/( 2 • 3550.0 ) = 18.602 N/mm Moment at base of inner Rib [Mbase,c]: = Unit Force • e • L = 18.602 • 1192.806 • 346.956 = 7701512.000 N-mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 83 of 165 Feb 9,2024 Bending Stress due to Transverse Force and Weight Load [αB,base,c]: = Bending Moment / Section Modulus = 7701512/285725.531 = 26.946 MPa Compressive Allowable, KL/r < Cc ( 9.2198 < 128.9137 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2•Cc²))Fy/(5/3+3•(Klr)/(8•Cc)-(Klr³)/(8•Cc³) = ( 1-( 9.22 )²/(2 • 128.91² ))238/ ( 5/3+3•(9.22)/(8• 128.91)-( 9.22³)/(8•128.91³) = 139.9 MPa AISC Unity Check of Inside Ribs ( must be ≤ 1 ) = Sc/Sca + ( Mbase,c • C1/I )/Sba = 11.68/139.89 + ( 7701512 • 145.0/41430164 )/158.33 = 0.254 Input Data for Base Plate Bolting Calculations: Total Number of Bolts per BasePlate Total Number of Bolts in Tension/Baseplate Bolt Material Specification Bolt Allowable Stress Bolt Corrosion Allowance Distance from Bolts to Edge Nominal Bolt Diameter Thread Series BasePlate Allowable Stress Area Available in a Single Bolt Saddle Load QO (Weight) Saddle Load QL (Wind/Seismic contribution) Maximum Transverse Force Maximum Longitudinal Force Saddle Bolted to Steel Foundation Nbolts Nbt Stba Bca Edgedis Bnd Series S BltArea QO QL Ft Fl 4 2 SA-36 137.00 MPa 3.0 mm 125.0 mm 42.0000 mm TEMA Metric 137.90 MPa 707.4074 mm² 788948.6 N 51728.7 N 116134.2 N 132073.2 N No Shear Stress in a Single Bolt, Longitudinal Direction [αb,l]: = Fl / ( Bolt Area • Number of Bolts ) = 132073/( 707.41 • 4 ) = 46.7 MPa. Must be less than 91.0 MPa. Shear Stress in a Single Bolt, Transverse Direction [αb,t]: = Ft / ( Bolt Area • Number of Bolts ) = 116134/( 707.41 • 4 ) = 41.0 MPa. Must be less than 91.0 MPa. Bolt Area Calculation per Dennis R. Moss Bolt Area Requirement Due to Longitudinal Load [Bltarearl]: = 0.0 (QO > QL --> No Uplift in Longitudinal direction) Bolt Area due to Shear Load [Bltarears]: = Fl / ( BoltShearAllowable • Nbolts ) = 132073.23/(91.0 • 4.0) = 362.8694 mm² Bolt Area due to Transverse Load: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 84 of 165 Feb 9,2024 Moment on Baseplate Due to Transverse Load [Rmom]: = B • Ft + Sum of X Moments = 2350.0 • 116134.2 + 0.0 = 273026016.00 N-mm Eccentricity (e): = Rmom / QO = 0.27303E+09/788949 = 345.92 mm < Bplen/6 --> No Uplift in Transverse direction Bolt Area due to Transverse Load [Bltareart]: = 0 (No Uplift) Required Area of a Single Bolt [Bltarear]: = max[Bltarearl, Bltarears, Bltareart] = max[0.0, 362.8694, 0.0] = 362.8694 mm² MDMT Calculations for: Fixed saddle, Saddle to Wearplate Junction, Curve: D Govrn. thk, tg = 16.0, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Attachment governing, Attachment stress = Shell stress per Code Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -46 °C -48 °C ASME VIII Division 2 Horizontal Vessel Analysis, Right Saddle: Note: Wear Pad Width (550.00) is less than 1.56*sqrt(rm*t) and less than 2a. The wear plate will be ignored. Minimum Wear Plate Width to be considered in analysis [b1]: = min( b + 1.56• ( Rm • t ), 2a ) = min( 290.0 + 1.56• ( 2026.5999 • 46.8 ), 2 • 2000.0 ) = 770.4315 mm Input and Calculated Values: Vessel Mean Radius Shell Thickness used in this Case Stiffened Vessel Length per 4.15.6 Distance from Saddle to Vessel tangent Saddle Width Saddle Bearing Angle Rm t L a1 or a 2026.60 50.000 10000.00 2000.00 b1 or b delta or theta 290.00 120.00 mm degrees Hi or hm 1025.40 mm 137.90 137.90 1.00 1.00 MPa MPa 2350.00 mm Inside or Mean Depth of Head Shell Allowable Stress used in Calculation Head Allowable Stress used in Calculation Circumferential Efficiency in Plane of Saddle Circumferential Efficiency at Mid-Span Distance from Saddle Base to Centerline B mm mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Coefficient of Friction mu Saddle Force Q, Operating Case Page 85 of 165 Feb 9,2024 0.60 1024153.94 Pressure used in Analysis P 3.000 Horizontal Vessel Analysis Results: Actual MPa Allowable MPa Long. Stress at Top of Midspan Long. Stress at Bottom of Midspan Long. Stress at Top of Saddles Long. Stress at Bottom of Saddles 64.39 65.52 72.24 60.92 137.90 137.90 137.90 137.90 Tangential Shear in Shell Circ. Stress at Horn of Saddle Circ. Compressive Stress in Shell 6.67 66.02 2.16 110.32 172.37 137.90 N MPa Intermediate Results: Saddle Reaction Q due to Wind or Seismic: Transverse Saddle Reaction Force [Fwt]: = Ftr( Ft/Num of Saddles + Z Force Load ) • B / E = 3.0( 50954.7/2 + 50098 ) • 2350.0/3550.0 = 150085.5 N Longitudinal Saddle Reaction Force [Fwl]: = max( Fl, Sum of X Forces) • B / Ls = max( 33829.29, 101037 ) • 2350.0/6000.0 = 39572.8 N Saddle Reaction Force due to Earthquake Fl [Fsl]: = max( Fl, Sum of X Forces ) • B / Ls = max( 132073.22, 101037 ) • 2350.0/6000.0 = 51728.7 N Saddle Reaction Force due to Earthquake Ft [Fst]: = Ftr( Ft/Num of Saddles + Z Force Load ) • B / E = 3.0( 132073/2 + 50098 ) • 2350.0/3550.0 = 230632.7 N Load Combination Results for Q + Wind or Seismic [Q]: = Saddle Load + max( Fwl, Fwt, Fsl, Fst ) = 793521 + max( 39573, 150085, 51729, 230633 ) = 1024153.9 N Longitudinal Wind Force [Fl]: = WindScalar • WindPress( Platform Area + ( π/4( OD • WindDiaMult )² ) ) = 1.1 • 1236.622( 4.92 + π/4( 4.2 • 1.2 )² ) = 33831.035 N Summary of Loads at the Base of this Saddle: Vertical Load (including saddle weight) Transverse Shear Load Longitudinal Shear Load Formulas and Substitutions for Horizontal Vessel Analysis: 1037533.19 116134.22 132073.23 N N N LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 86 of 165 Feb 9,2024 Note: Wear Plate is Welded to the Shell, k = 0.1 Saddle Dimension [E]: = Baseplate Length = 3550.000 mm The Computed K values from Table 4.15.1: K1 = 0.1066 K2 = 1.1707 K3 = 0.8799 K5 = 0.7603 K6 = 0.0529 K7 = 0.0518 K9 = 0.2711 K10 = 0.0581 K1* = 0.1923 K4 K8 = 0.4011 = 0.3405 Note: Dimension a is greater than or equal to Rm/2. Moment per Equation 4.15.1 [M1]: = -Q•a [1 - (1- a/L + (Rm²-hm²)/(2a•L))/(1+(4hm²)/3L)] = -1024154•2000.0[1-(1-2000.0/10000.0+(2026.6²-1025.4²)/ (2•2000.0•10000.0))/(1+(4•1025.4)/(3•10000.0))] = -469287904.0 N-mm Moment per Equation 4.15.2 [M2]: = Q•L/4(1+2(Rm²-hm²)/(L²))/(1+(4hm²)/( 3L))-4a/L = 1024154•10000/4(1+2(2027²-1025²)/(10000²))/(1+(4•1025)/ (3•10000))-4•2000/10000 = 341916832.0 N-mm Longitudinal Stress at Top of Shell (4.15.4) [α1]: = P • Rm/(2t) - M2/(π•Rm²t) = 3.0 • 2026.6/(2•46.8) - 0.34192E+09/(π•2026.6²•46.8) = 64.39 MPa Longitudinal Stress at Bottom of Shell (4.15.5) [α2]: = P • Rm/(2t) + M2/(π • Rm² • t) = 3.0 • 2026.6/(2 • 46.8) + 0.34192E+09/(π • 2026.6² • 46.8 ) = 65.52 MPa Longitudinal Stress at Top of Shell at Support (4.15.8) [σ✱3]: = P • Rm/(2t) - M1/(K1•π•Rm²t) = 3.0•2026.6/(2•46.8)--0.5E+09/(0.1066•π•2026.6²•46.8) = 72.24 MPa Longitudinal Stress at Bottom of Shell at Support (4.15.9) [ σ✱4]: = P • Rm/(2t) + M1/(K1✱ • π • Rm² • t) = 3.0•2026.6/(2•46.8)+-0.5E+09/(0.1923•π•2026.6²•46.8) = 60.92 MPa Maximum Shear Force in the Saddle (4.15.3) [T]: = Q(L-2a)/(L+(4•hm/3)) = 1024154( 10000.0 - 2 • 2000.0)/(10000.0 + ( 4 • 1025.4/3)) = 540583.8 N Shear Stress in the shell no rings, not stiffened (4.15.12) [α2]: = K2 • T / ( Rm • t ) = 1.1707 • 540584/( 2026.5999 • 46.8 ) = 6.67 MPa Decay Length (4.15.20) [x1,x2]: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 87 of 165 Feb 9,2024 = 0.78 • ( Rm • t ) = 0.78 • ( 2026.6 • 46.8 ) = 240.216 mm Circumferential Stress in shell, no rings (4.15.21) [α6]: = -K5 • Q • k / ( t( b + X1 + X2 ) ) = - 0.7603 • 1024154 • 0.1/( 46.8( 290.0 + 240.22 + 240.22 ) ) = -2.16 MPa Circ. Comp. Stress at Horn of Saddle, L<8Rm (4.15.23) [σ7✱]: = -Q/(4•t(b+X1+X2)) - 12•K7•Q•Rm/(L•t²) = -1024154/(4•46.8(290.0+240.216+240.216)) 12 • 0.052 • 1024154 • 2026.6/(10000.001 • 46.8²) = -66.02 MPa Effective reinforcing plate width (4.15.24) [B1]: = min( b + 1.56 • ( Rm • t ), 2a ) = min( 290.0 + 1.56 • ( 2026.6 • 46.8 ), 2 • 2000.0 ) = 770.43 mm Results for Vessel Ribs, Web and Base: Baseplate Length Baseplate Thickness Baseplate Width Number of Ribs ( inc. outside ribs ) Rib Thickness Web Thickness Web Location Saddle Yield Stress Height of Web at Center Friction Coefficient Bplen Bpthk Bpwid Nribs Ribtk Webtk Webloc Sy Hw,c mu 3550.0000 25.0000 300.0000 4 20.0000 20.0000 Center 237.5 300.0 0.600 mm mm mm mm mm MPa mm Moment of Inertia of Saddle - Transverse Direction (90 degrees to long axis) Inertia of Shell [ShellInertia]: = (( 1.56 • ( R • t ) + WearPlateWidth )t³ )/12 = (( 1.56 • ( 2003.2 • 46.8 ) + 550.0 )46.8³ )/12 = 8778111.000 mmα Resolved Inertia for the Shell [I,shell]: = ShellInertia + AShell( C1 - Y )² = 8778111 + 48094.016( 73.461 - 23.4 )² = 129308360.000 mmα Shell Wearplate Web BasePlate Totals B mm D mm Y mm A mm² AY mm³ I + AD^(2) mm^4 1027.6 550.0 20.0 300.0 ... 46.8 16.0 259.0 25.0 ... 23.4 54.8 192.3 334.3 ... 48094.0 8800.0 5180.0 7500.0 69574.0 1125400.0 482240.0 996113.4 2507249.0 5111002.0 0.129E+09 0.325E+07 0.102E+09 0.511E+09 0.745E+09 Distance to Centroid [C1]: = AY / A = 5111002/69574.016 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 88 of 165 Feb 9,2024 = 73.461 mm Angle [α]: = 180 - Saddle Angle/2 = 180 - 120.0/2 = 120.0 Saddle Splitting Coefficient [K1]: = ( 1 + cos(α) - 0.5•sin(α)² )/(π - α + sin(α)cos(α) ) = ( 1 + cos(120.0) - 0.5•sin(120.0)² )/(π - 2.094 + sin(120.0)cos(120.0) ) = 0.2035 Saddle Splitting Force [Fh]: = K1 • Q = 0.204 • 1024154 = 208437.5312 N Tension Stress, St = ( Fh/As ) = Allowed Stress, Sa = 0.6 * Yield Str = 9.7046 142.5000 MPa MPa = 144582256.0000 N-mm Bending Stress, Sb = ( M * C1 / I ) = Allowed Stress, Sa = 2/3 * Yield Str = 14.2456 158.3333 MPa MPa Saddle Splitting Dimension [d]: = B - R • sin(theta/2)/(theta/2 in radians) = 2350.0 - 2003.2 • sin(120.0/2)/1.0472 = 693.367 mm Bending Moment, M = Fh * d Minimum Thickness of Baseplate per Moss: = ( 3( Q + SaddleWt )BasePlateWidth / ( 4 • BasePlateLength • AllStress )) = ( 3(1024154 + 13379)300.0/( 4 • 3550.0 • 158.333 )) = 20.380 mm Calculation of Axial Load, Intermediate Values and Compressive Stress: Web Length Dimension [ Web Length ]: = 2 • cos( 90 - Saddle Angle/2 )( Inside Radius + Shell Thk + Wear Plate Thk ) = 2 • cos( 90 - 120.0/2 )( 2000.0 + 50.0 + 16.0 ) = 3578.417 mm Distance between Ribs [e]: = Web Length / ( Nribs - 1 ) = 3578.4167/( 4 - 1 ) = 1192.806 mm Baseplate Pressure Area [Ap]: = e • Bpwid / 2 = 1192.8055 • 300.0/2 = 178920.828 mm² Bearing Pressure [Bp]: = Q / ( BasePlateLength • BasePlateWidth ) = 1024154/( 3550.0 • 300.0 ) = 0.962 N/mm² LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 89 of 165 Feb 9,2024 Axial Load [P]: = Ap • Bp = 178920.8 • 0.96 = 172058.656 N Area of the Rib and Web [Ar]: = Rib Area + Web Area = 5400.0 + 11928.056 = 17328.055 mm² Compressive Stress [Sc]: = P/Ar = 172058.7/17328.0547 = 9.930 MPa Check of Outside Ribs: Inertia of Saddle, Outer Ribs - Longitudinal Direction Rib+Web B D Y A AY Io 20.0 290.0 ... 5800.0 ... 0.406E+08 Rib dimension [D]: = Saddle Width - Web Thickness = 290.0 - 20.0 = 270.000 mm Distance to Centroid from Datum [ytot]: = AY / A = 0.0/17328.055 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 290.0/2 = 145.000 mm Radius of Gyration [r]: = ( Total Inertia / Total Area ) = ( 40648296/17328.055 ) = 48.434 mm Length of Outer Rib, step 1, [Lw]: = 2 • sin( saddle bearing angle / 2 )( radius + shlthk + wpdthk ) = 2 • sin( 120.0/2 )( 2000.0 + 50.0 + 16.0 ) = 3578.417 mm Length of Outer Rib, step 2, [Bd]: = Baseplate length - clearance = 3550.0 - 50.8 = 3499.200 mm Length of Outer Rib, step 3, [Dd]: = ( Lw - Bd )/2 = ( 3578.417 - 3499.2 )/2 = 39.608 mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 90 of 165 Feb 9,2024 Length of Outer Rib [L]: = ( Rl² + Dd² ) = ( 1292.607² + 39.608² ) = 1292.607 mm Intermediate Term [Cc]: = ( 2 • π² • Elastic Modulus / Yield Stress ) = ( 2 • π² • 199955/237.5 ) = 128.914 Slenderness ratio [KL/r]: = KL/r = 1 • 1292.607/48.434 = 26.688 Bending Moment [Rm]: = Fl /( 2 • Bplen ) • e • L / 2 = 132073.2/( 2 • 3550.0 ) • 1192.806 • 1292.61/2 = 14346256.000 N-mm Compressive Allowable, KL/r < Cc ( 26.6882 < 128.9137 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2•Cc²))Fy/(5/3+3•(Klr)/(8•Cc)-(Klr³)/(8•Cc³) = ( 1-( 26.69 )²/(2 • 128.91² ))238/ ( 5/3+3•(26.69)/(8• 128.91)-( 26.69³)/(8•128.91³) = 133.3 MPa AISC Unity Check of Outside Ribs ( must be ≤ 1 ) = Sc/Sca + ( Rm • C1 / I )/Sba = 9.93/133.32 + ( 14346256 • 145.0/40648336 )/158.33 = 0.398 Check of Inside Ribs: Inertia of Saddle, Inner Ribs - Axial Direction B D Rib Web Totals 20.0 1192.8 ... 270.0 20.0 ... Y A AY Io 0.0 0.0 ... 5400.0 23856.1 29256.1 0.0 0.0 ... 0.406E+08 0.795E+06 0.414E+08 Distance to Centroid from Datum [ytot]: = AY / A = 0.0/29256.111 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 290.0/2 = 145.000 mm Length of Inner Rib [L]: = Saddle Height - ( (Ro + Wpdthk)² - (Pitch/2)² ) - Bpthk = 2350.0 - ( (2066.0 + 16.0)² - (1192.806/2)² ) - 25.0 = 346.956 mm Radius of Gyration [r]: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 91 of 165 Feb 9,2024 = ( Total Inertia / Total Area ) = ( 41430164/29256.111 ) = 37.631 mm Slenderness ratio [KL/r]: = KL/r = 1 • 346.956/37.631 = 9.220 Unit Force [Force,u]: = Fl / ( 2 • Baseplate Length ) = 132073.219/( 2 • 3550.0 ) = 18.602 N/mm Moment at base of inner Rib [Mbase,c]: = Unit Force • e • L = 18.602 • 1192.806 • 346.956 = 7701512.000 N-mm Bending Stress due to Transverse Force and Weight Load [αB,base,c]: = Bending Moment / Section Modulus = 7701512/285725.531 = 26.946 MPa Compressive Allowable, KL/r < Cc ( 9.2198 < 128.9137 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2•Cc²))Fy/(5/3+3•(Klr)/(8•Cc)-(Klr³)/(8•Cc³) = ( 1-( 9.22 )²/(2 • 128.91² ))238/ ( 5/3+3•(9.22)/(8• 128.91)-( 9.22³)/(8•128.91³) = 139.9 MPa AISC Unity Check of Inside Ribs ( must be ≤ 1 ) = Sc/Sca + ( Mbase,c • C1/I )/Sba = 11.89/139.89 + ( 7701512 • 145.0/41430164 )/158.33 = 0.255 Input Data for Base Plate Bolting Calculations: Total Number of Bolts per BasePlate Total Number of Bolts in Tension/Baseplate Bolt Material Specification Bolt Allowable Stress Bolt Corrosion Allowance Distance from Bolts to Edge Nominal Bolt Diameter Thread Series BasePlate Allowable Stress Area Available in a Single Bolt Saddle Load QO (Weight) Saddle Load QL (Wind/Seismic contribution) Maximum Transverse Force Maximum Longitudinal Force Saddle Bolted to Steel Foundation Nbolts Nbt Stba Bca Edgedis Bnd Series S BltArea QO QL Ft Fl 4 2 SA-36 137.00 MPa 3.0 mm 125.0 mm 42.0000 mm TEMA Metric 137.90 MPa 707.4074 mm² 806900.4 N 51728.7 N 116134.2 N 132073.2 N No Shear Stress in a Single Bolt, Longitudinal Direction [αb,l]: = Fl / ( Bolt Area • Number of Bolts ) = 132073/( 707.41 • 4 ) = 46.7 MPa. Must be less than 91.0 MPa. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Operating Case: Step: 23 2:42pm Page 92 of 165 Feb 9,2024 Shear Stress in a Single Bolt, Transverse Direction [αb,t]: = Ft / ( Bolt Area • Number of Bolts ) = 116134/( 707.41 • 4 ) = 41.0 MPa. Must be less than 91.0 MPa. Bolt Area Calculation per Dennis R. Moss Bolt Area Requirement Due to Longitudinal Load [Bltarearl]: = 0.0 (QO > QL --> No Uplift in Longitudinal direction) Bolt Area due to Shear Load [Bltarears]: = Fl / ( BoltShearAllowable • Nbolts ) = 132073.23/(91.0 • 4.0) = 362.8694 mm² Bolt Area due to Transverse Load: Moment on Baseplate Due to Transverse Load [Rmom]: = B • Ft + Sum of X Moments = 2350.0 • 116134.22 + 0.0 = 273026048.00 N-mm Eccentricity (e): = Rmom / QO = 0.27303E+09/806900 = 338.23 mm < Bplen/6 --> No Uplift in Transverse direction Bolt Area due to Transverse Load [Bltareart]: = 0 (No Uplift) Required Area of a Single Bolt [Bltarear]: = max[Bltarearl, Bltarears, Bltareart] = max[0.0, 362.8694, 0.0] = 362.8694 mm² MDMT Calculations for: Sliding saddle, Saddle to Wearplate Junction, Curve: D Govrn. thk, tg = 16.0, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Attachment governing, Attachment stress = Shell stress per Code Min Metal Temp. w/o impact per UCS-66, Curve D Min Metal Temp per UCS-66 and UCS-68(c),PWHT credit -46 °C -48 °C Review notes about nozzle loadings and supports in the Warnings report. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 93 of 165 Feb 9,2024 ASME VIII Division 2 Horizontal Vessel Analysis, Left Saddle: Horizontal Vessel Stress Calculations : Test Case Note: Wear Pad Width (550.00) is less than 1.56*sqrt(rm*t) and less than 2a. The wear plate will be ignored. Minimum Wear Plate Width to be considered in analysis [b1]: = min( b + 1.56• ( Rm • t ), 2a ) = min( 290.0 + 1.56• ( 2026.5999 • 46.8 ), 2 • 2000.0 ) = 770.4315 mm Input and Calculated Values: Vessel Mean Radius Shell Thickness used in this Case Stiffened Vessel Length per 4.15.6 Distance from Saddle to Vessel tangent Saddle Width Saddle Bearing Angle Rm t L a1 or a 2026.60 50.000 10000.00 2000.00 b1 or b delta or theta 290.00 120.00 mm degrees Hi or hm 1025.40 mm 235.81 235.81 1.00 1.00 MPa MPa 2350.00 0.00 mm 1165956.12 N Inside or Mean Depth of Head Shell Allowable Stress used in Calculation Head Allowable Stress used in Calculation Circumferential Efficiency in Plane of Saddle Circumferential Efficiency at Mid-Span Distance from Saddle Base to Centerline Coefficient of Friction B mu Saddle Force Q, Test Case, no Ext. Forces Pressure used in Analysis P 3.967 Horizontal Vessel Analysis Results: Actual MPa Allowable MPa Long. Stress at Top of Midspan Long. Stress at Bottom of Midspan Long. Stress at Top of Saddles Long. Stress at Bottom of Saddles 85.26 86.55 94.20 81.30 235.81 235.81 235.81 235.81 Tangential Shear in Shell Circ. Stress at Horn of Saddle Circ. Compressive Stress in Shell 7.60 75.17 2.46 139.65 353.71 235.81 Intermediate Results: Saddle Reaction Q due to Wind or Seismic: Transverse Saddle Reaction Force [Fwt]: = Ftr( Ft/Num of Saddles + Z Force Load ) • B / E = 3.0( 25477.4/2 + 0 ) • 2350.0/3550.0 = 25297.9 N mm mm mm mm MPa LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 94 of 165 Feb 9,2024 Longitudinal Saddle Reaction Force [Fwl]: = max( Fl, Sum of X Forces) • B / Ls = max( 16914.64, 0 ) • 2350.0/6000.0 = 6624.9 N Load Combination Results for Q + Wind or Seismic [Q]: = Saddle Load + max( Fwl, Fwt, Fsl, Fst ) = 1140658 + max( 6625, 25298, 0, 0 ) = 1165956.1 N Longitudinal Wind Force [Fl]: = WindScalar • WindPress( Platform Area + ( π/4( OD • WindDiaMult )² ) ) = 1.1 • 1236.622( 4.92 + π/4( 4.2 • 1.2 )² ) = 33831.035 N Summary of Loads at the Base of this Saddle: Vertical Load (including saddle weight) Transverse Shear Load Longitudinal Shear Load 1179335.38 12738.68 16914.64 N N N Formulas and Substitutions for Horizontal Vessel Analysis: Note: Wear Plate is Welded to the Shell, k = 0.1 Saddle Dimension [E]: = Baseplate Length = 3550.000 mm The Computed K values from Table 4.15.1: K1 = 0.1066 K2 = 1.1707 K3 = 0.8799 K5 = 0.7603 K6 = 0.0529 K7 = 0.0518 K9 = 0.2711 K10 = 0.0581 K1* = 0.1923 K4 K8 = 0.4011 = 0.3405 Note: Dimension a is greater than or equal to Rm/2. Moment per Equation 4.15.1 [M1]: = -Q•a [1 - (1- a/L + (Rm²-hm²)/(2a•L))/(1+(4hm²)/3L)] = -1165956•2000.0[1-(1-2000.0/10000.0+(2026.6²-1025.4²)/ (2•2000.0•10000.0))/(1+(4•1025.4)/(3•10000.0))] = -534264576.0 N-mm Moment per Equation 4.15.2 [M2]: = Q•L/4(1+2(Rm²-hm²)/(L²))/(1+(4hm²)/( 3L))-4a/L = 1165956•10000/4(1+2(2027²-1025²)/(10000²))/(1+(4•1025)/ (3•10000))-4•2000/10000 = 389257888.0 N-mm Longitudinal Stress at Top of Shell (4.15.4) [α1]: = P • Rm/(2t) - M2/(π•Rm²t) = 3.967 • 2026.6/(2•46.8) - 0.38926E+09/(π•2026.6²•46.8) = 85.26 MPa Longitudinal Stress at Bottom of Shell (4.15.5) [α2]: = P • Rm/(2t) + M2/(π • Rm² • t) = 3.967 • 2026.6/(2 • 46.8) + 0.38926E+09/(π • 2026.6² • 46.8 ) = 86.55 MPa LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 95 of 165 Feb 9,2024 Longitudinal Stress at Top of Shell at Support (4.15.8) [σ✱3]: = P • Rm/(2t) - M1/(K1•π•Rm²t) = 3.967•2026.6/(2•46.8)--0.5E+09/(0.1066•π•2026.6²•46.8) = 94.20 MPa Longitudinal Stress at Bottom of Shell at Support (4.15.9) [ σ✱4]: = P • Rm/(2t) + M1/(K1✱ • π • Rm² • t) = 3.967•2026.6/(2•46.8)+-0.5E+09/(0.1923•π•2026.6²•46.8) = 81.30 MPa Maximum Shear Force in the Saddle (4.15.3) [T]: = Q(L-2a)/(L+(4•hm/3)) = 1165956( 10000.0 - 2 • 2000.0)/(10000.0 + ( 4 • 1025.4/3)) = 615431.9 N Shear Stress in the shell no rings, not stiffened (4.15.12) [α2]: = K2 • T / ( Rm • t ) = 1.1707 • 615432/( 2026.5999 • 46.8 ) = 7.60 MPa Decay Length (4.15.20) [x1,x2]: = 0.78 • ( Rm • t ) = 0.78 • ( 2026.6 • 46.8 ) = 240.216 mm Circumferential Stress in shell, no rings (4.15.21) [α6]: = -K5 • Q • k / ( t( b + X1 + X2 ) ) = - 0.7603 • 1165956 • 0.1/( 46.8( 290.0 + 240.22 + 240.22 ) ) = -2.46 MPa Circ. Comp. Stress at Horn of Saddle, L<8Rm (4.15.23) [σ7✱]: = -Q/(4•t(b+X1+X2)) - 12•K7•Q•Rm/(L•t²) = -1165956/(4•46.8(290.0+240.216+240.216)) 12 • 0.052 • 1165956 • 2026.6/(10000.001 • 46.8²) = -75.17 MPa Effective reinforcing plate width (4.15.24) [B1]: = min( b + 1.56 • ( Rm • t ), 2a ) = min( 290.0 + 1.56 • ( 2026.6 • 46.8 ), 2 • 2000.0 ) = 770.43 mm Results for Vessel Ribs, Web and Base: Baseplate Length Baseplate Thickness Baseplate Width Number of Ribs ( inc. outside ribs ) Rib Thickness Web Thickness Web Location Saddle Yield Stress Height of Web at Center Friction Coefficient Bplen Bpthk Bpwid Nribs Ribtk Webtk Webloc Sy Hw,c mu 3550.0000 25.0000 300.0000 4 20.0000 20.0000 Center 237.5 300.0 0.000 mm mm mm mm mm MPa mm Moment of Inertia of Saddle - Transverse Direction (90 degrees to long axis) Inertia of Shell [ShellInertia]: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 96 of 165 Feb 9,2024 = (( 1.56 • ( R • t ) + WearPlateWidth )t³ )/12 = (( 1.56 • ( 2003.2 • 46.8 ) + 550.0 )46.8³ )/12 = 8778111.000 mmα Resolved Inertia for the Shell [I,shell]: = ShellInertia + AShell( C1 - Y )² = 8778111 + 48094.016( 73.461 - 23.4 )² = 129308360.000 mmα Shell Wearplate Web BasePlate Totals B mm D mm Y mm A mm² AY mm³ I + AD^(2) mm^4 1027.6 550.0 20.0 300.0 ... 46.8 16.0 259.0 25.0 ... 23.4 54.8 192.3 334.3 ... 48094.0 8800.0 5180.0 7500.0 69574.0 1125400.0 482240.0 996113.4 2507249.0 5111002.0 0.129E+09 0.325E+07 0.102E+09 0.511E+09 0.745E+09 Distance to Centroid [C1]: = AY / A = 5111002/69574.016 = 73.461 mm Angle [α]: = 180 - Saddle Angle/2 = 180 - 120.0/2 = 120.0 Saddle Splitting Coefficient [K1]: = ( 1 + cos(α) - 0.5•sin(α)² )/(π - α + sin(α)cos(α) ) = ( 1 + cos(120.0) - 0.5•sin(120.0)² )/(π - 2.094 + sin(120.0)cos(120.0) ) = 0.2035 Saddle Splitting Force [Fh]: = K1 • Q = 0.204 • 1165956 = 237297.3594 N Tension Stress, St = ( Fh/As ) = Allowed Stress, Sa = 0.6 * Yield Str = 11.0483 142.5000 MPa MPa = 164600816.0000 N-mm Bending Stress, Sb = ( M * C1 / I ) = Allowed Stress, Sa = 2/3 * Yield Str = 16.2180 158.3333 MPa MPa Saddle Splitting Dimension [d]: = B - R • sin(theta/2)/(theta/2 in radians) = 2350.0 - 2003.2 • sin(120.0/2)/1.0472 = 693.367 mm Bending Moment, M = Fh * d Minimum Thickness of Baseplate per Moss: = ( 3( Q + SaddleWt )BasePlateWidth / ( 4 • BasePlateLength • AllStress )) = ( 3(1165956 + 13379)300.0/( 4 • 3550.0 • 158.333 )) = 21.728 mm Calculation of Axial Load, Intermediate Values and Compressive Stress: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 97 of 165 Feb 9,2024 Web Length Dimension [ Web Length ]: = 2 • cos( 90 - Saddle Angle/2 )( Inside Radius + Shell Thk + Wear Plate Thk ) = 2 • cos( 90 - 120.0/2 )( 2000.0 + 50.0 + 16.0 ) = 3578.417 mm Distance between Ribs [e]: = Web Length / ( Nribs - 1 ) = 3578.4167/( 4 - 1 ) = 1192.806 mm Baseplate Pressure Area [Ap]: = e • Bpwid / 2 = 1192.8055 • 300.0/2 = 178920.828 mm² Bearing Pressure [Bp]: = Q / ( BasePlateLength • BasePlateWidth ) = 1165956/( 3550.0 • 300.0 ) = 1.095 N/mm² Axial Load [P]: = Ap • Bp = 178920.8 • 1.09 = 195881.547 N Area of the Rib and Web [Ar]: = Rib Area + Web Area = 5400.0 + 11928.056 = 17328.055 mm² Compressive Stress [Sc]: = P/Ar = 195881.5/17328.0547 = 11.305 MPa Check of Outside Ribs: Inertia of Saddle, Outer Ribs - Longitudinal Direction Rib+Web B D Y A AY Io 20.0 290.0 ... 5800.0 ... 0.406E+08 Rib dimension [D]: = Saddle Width - Web Thickness = 290.0 - 20.0 = 270.000 mm Distance to Centroid from Datum [ytot]: = AY / A = 0.0/17328.055 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 290.0/2 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 98 of 165 Feb 9,2024 = 145.000 mm Radius of Gyration [r]: = ( Total Inertia / Total Area ) = ( 40648296/17328.055 ) = 48.434 mm Length of Outer Rib, step 1, [Lw]: = 2 • sin( saddle bearing angle / 2 )( radius + shlthk + wpdthk ) = 2 • sin( 120.0/2 )( 2000.0 + 50.0 + 16.0 ) = 3578.417 mm Length of Outer Rib, step 2, [Bd]: = Baseplate length - clearance = 3550.0 - 50.8 = 3499.200 mm Length of Outer Rib, step 3, [Dd]: = ( Lw - Bd )/2 = ( 3578.417 - 3499.2 )/2 = 39.608 mm Length of Outer Rib [L]: = ( Rl² + Dd² ) = ( 1292.607² + 39.608² ) = 1292.607 mm Intermediate Term [Cc]: = ( 2 • π² • Elastic Modulus / Yield Stress ) = ( 2 • π² • 199955/237.5 ) = 128.914 Slenderness ratio [KL/r]: = KL/r = 1 • 1292.607/48.434 = 26.688 Bending Moment [Rm]: = Fl /( 2 • Bplen ) • e • L / 2 = 16914.6/( 2 • 3550.0 ) • 1192.806 • 1292.61/2 = 1837327.750 N-mm Compressive Allowable, KL/r < Cc ( 26.6882 < 128.9137 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2•Cc²))Fy/(5/3+3•(Klr)/(8•Cc)-(Klr³)/(8•Cc³) = ( 1-( 26.69 )²/(2 • 128.91² ))238/ ( 5/3+3•(26.69)/(8• 128.91)-( 26.69³)/(8•128.91³) = 133.3 MPa AISC Unity Check of Outside Ribs ( must be ≤ 1 ) = Sc/Sca + ( Rm • C1 / I )/Sba = 11.31/133.32 + ( 1837328 • 145.0/40648336 )/158.33 = 0.126 Check of Inside Ribs: Inertia of Saddle, Inner Ribs - Axial Direction B D Y A AY Io LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Rib Web Totals 20.0 1192.8 ... 270.0 20.0 ... 0.0 0.0 ... Page 99 of 165 Feb 9,2024 5400.0 23856.1 29256.1 0.0 0.0 ... Distance to Centroid from Datum [ytot]: = AY / A = 0.0/29256.111 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 290.0/2 = 145.000 mm Length of Inner Rib [L]: = Saddle Height - ( (Ro + Wpdthk)² - (Pitch/2)² ) - Bpthk = 2350.0 - ( (2066.0 + 16.0)² - (1192.806/2)² ) - 25.0 = 346.956 mm Radius of Gyration [r]: = ( Total Inertia / Total Area ) = ( 41430164/29256.111 ) = 37.631 mm Slenderness ratio [KL/r]: = KL/r = 1 • 346.956/37.631 = 9.220 Unit Force [Force,u]: = Fl / ( 2 • Baseplate Length ) = 16914.643/( 2 • 3550.0 ) = 2.382 N/mm Moment at base of inner Rib [Mbase,c]: = Unit Force • e • L = 2.382 • 1192.806 • 346.956 = 986334.250 N-mm Bending Stress due to Transverse Force and Weight Load [αB,base,c]: = Bending Moment / Section Modulus = 986334/285725.531 = 3.451 MPa Compressive Allowable, KL/r < Cc ( 9.2198 < 128.9137 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2•Cc²))Fy/(5/3+3•(Klr)/(8•Cc)-(Klr³)/(8•Cc³) = ( 1-( 9.22 )²/(2 • 128.91² ))238/ ( 5/3+3•(9.22)/(8• 128.91)-( 9.22³)/(8•128.91³) = 139.9 MPa AISC Unity Check of Inside Ribs ( must be ≤ 1 ) = Sc/Sca + ( Mbase,c • C1/I )/Sba = 13.53/139.89 + ( 986334 • 145.0/41430164 )/158.33 = 0.119 Input Data for Base Plate Bolting Calculations: 0.406E+08 0.795E+06 0.414E+08 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Total Number of Bolts per BasePlate Total Number of Bolts in Tension/Baseplate Bolt Material Specification Bolt Allowable Stress Bolt Corrosion Allowance Distance from Bolts to Edge Nominal Bolt Diameter Thread Series BasePlate Allowable Stress Area Available in a Single Bolt Saddle Load QO (Weight) Saddle Load QL (Wind/Seismic contribution) Maximum Transverse Force Maximum Longitudinal Force Saddle Bolted to Steel Foundation Nbolts Nbt Stba Bca Edgedis Bnd Series S BltArea QO QL Ft Fl Page 100 of 165 Feb 9,2024 4 2 SA-36 137.00 MPa 3.0 mm 125.0 mm 42.0000 mm TEMA Metric 137.90 MPa 707.4074 mm² 1154037.5 N 6624.9 N 12738.7 N 16914.6 N No Shear Stress in a Single Bolt, Longitudinal Direction [αb,l]: = Fl / ( Bolt Area • Number of Bolts ) = 16915/( 707.41 • 4 ) = 6.0 MPa. Must be less than 91.0 MPa. Shear Stress in a Single Bolt, Transverse Direction [αb,t]: = Ft / ( Bolt Area • Number of Bolts ) = 12739/( 707.41 • 4 ) = 4.5 MPa. Must be less than 91.0 MPa. Bolt Area Calculation per Dennis R. Moss Bolt Area Requirement Due to Longitudinal Load [Bltarearl]: = 0.0 (QO > QL --> No Uplift in Longitudinal direction) Bolt Area due to Shear Load [Bltarears]: = Fl / ( BoltShearAllowable • Nbolts ) = 16914.64/(91.0 • 4.0) = 46.4727 mm² Bolt Area due to Transverse Load: Moment on Baseplate Due to Transverse Load [Rmom]: = B • Ft + Sum of X Moments = 2350.0 • 12738.68 + 0.0 = 29948032.00 N-mm Eccentricity (e): = Rmom / QO = 29948032/1154038 = 25.94 mm < Bplen/6 --> No Uplift in Transverse direction Bolt Area due to Transverse Load [Bltareart]: = 0 (No Uplift) Required Area of a Single Bolt [Bltarear]: = max[Bltarearl, Bltarears, Bltareart] = max[0.0, 46.4727, 0.0] = 46.4727 mm² LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 101 of 165 Feb 9,2024 ASME VIII Division 2 Horizontal Vessel Analysis, Right Saddle: Note: Wear Pad Width (550.00) is less than 1.56*sqrt(rm*t) and less than 2a. The wear plate will be ignored. Minimum Wear Plate Width to be considered in analysis [b1]: = min( b + 1.56• ( Rm • t ), 2a ) = min( 290.0 + 1.56• ( 2026.5999 • 46.8 ), 2 • 2000.0 ) = 770.4315 mm Input and Calculated Values: Vessel Mean Radius Shell Thickness used in this Case Stiffened Vessel Length per 4.15.6 Distance from Saddle to Vessel tangent Saddle Width Saddle Bearing Angle Rm t L a1 or a 2026.60 50.000 10000.00 2000.00 b1 or b delta or theta 290.00 120.00 mm degrees Hi or hm 1025.40 mm 235.81 235.81 1.00 1.00 MPa MPa 2350.00 0.60 mm 1185115.88 N Inside or Mean Depth of Head Shell Allowable Stress used in Calculation Head Allowable Stress used in Calculation Circumferential Efficiency in Plane of Saddle Circumferential Efficiency at Mid-Span Distance from Saddle Base to Centerline Coefficient of Friction B mu Saddle Force Q, Test Case, no Ext. Forces Pressure used in Analysis P 3.967 Horizontal Vessel Analysis Results: Actual MPa Allowable MPa Long. Stress at Top of Midspan Long. Stress at Bottom of Midspan Long. Stress at Top of Saddles Long. Stress at Bottom of Saddles 85.25 86.56 94.33 81.23 235.81 235.81 235.81 235.81 Tangential Shear in Shell Circ. Stress at Horn of Saddle Circ. Compressive Stress in Shell 7.72 76.40 2.50 139.65 353.71 235.81 Intermediate Results: Saddle Reaction Q due to Wind or Seismic: Transverse Saddle Reaction Force [Fwt]: = Ftr( Ft/Num of Saddles + Z Force Load ) • B / E = 3.0( 25477.4/2 + 0 ) • 2350.0/3550.0 = 25297.9 N Longitudinal Saddle Reaction Force [Fwl]: mm mm mm mm MPa LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 102 of 165 Feb 9,2024 = max( Fl, Sum of X Forces) • B / Ls = max( 16914.64, 0 ) • 2350.0/6000.0 = 6624.9 N Load Combination Results for Q + Wind or Seismic [Q]: = Saddle Load + max( Fwl, Fwt, Fsl, Fst ) = 1159818 + max( 6625, 25298, 0, 0 ) = 1185115.9 N Longitudinal Wind Force [Fl]: = WindScalar • WindPress( Platform Area + ( π/4( OD • WindDiaMult )² ) ) = 1.1 • 1236.622( 4.92 + π/4( 4.2 • 1.2 )² ) = 33831.035 N Summary of Loads at the Base of this Saddle: Vertical Load (including saddle weight) Transverse Shear Load Longitudinal Shear Load 1198495.12 12738.68 16914.64 N N N Formulas and Substitutions for Horizontal Vessel Analysis: Note: Wear Plate is Welded to the Shell, k = 0.1 Saddle Dimension [E]: = Baseplate Length = 3550.000 mm The Computed K values from Table 4.15.1: K1 = 0.1066 K2 = 1.1707 K3 = 0.8799 K5 = 0.7603 K6 = 0.0529 K7 = 0.0518 K9 = 0.2711 K10 = 0.0581 K1* = 0.1923 K4 K8 = 0.4011 = 0.3405 Note: Dimension a is greater than or equal to Rm/2. Moment per Equation 4.15.1 [M1]: = -Q•a [1 - (1- a/L + (Rm²-hm²)/(2a•L))/(1+(4hm²)/3L)] = -1185116•2000.0[1-(1-2000.0/10000.0+(2026.6²-1025.4²)/ (2•2000.0•10000.0))/(1+(4•1025.4)/(3•10000.0))] = -543043968.0 N-mm Moment per Equation 4.15.2 [M2]: = Q•L/4(1+2(Rm²-hm²)/(L²))/(1+(4hm²)/( 3L))-4a/L = 1185116•10000/4(1+2(2027²-1025²)/(10000²))/(1+(4•1025)/ (3•10000))-4•2000/10000 = 395654432.0 N-mm Longitudinal Stress at Top of Shell (4.15.4) [α1]: = P • Rm/(2t) - M2/(π•Rm²t) = 3.967 • 2026.6/(2•46.8) - 0.39565E+09/(π•2026.6²•46.8) = 85.25 MPa Longitudinal Stress at Bottom of Shell (4.15.5) [α2]: = P • Rm/(2t) + M2/(π • Rm² • t) = 3.967 • 2026.6/(2 • 46.8) + 0.39565E+09/(π • 2026.6² • 46.8 ) = 86.56 MPa Longitudinal Stress at Top of Shell at Support (4.15.8) [σ✱3]: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 103 of 165 Feb 9,2024 = P • Rm/(2t) - M1/(K1•π•Rm²t) = 3.967•2026.6/(2•46.8)--0.5E+09/(0.1066•π•2026.6²•46.8) = 94.33 MPa Longitudinal Stress at Bottom of Shell at Support (4.15.9) [ σ✱4]: = P • Rm/(2t) + M1/(K1✱ • π • Rm² • t) = 3.967•2026.6/(2•46.8)+-0.5E+09/(0.1923•π•2026.6²•46.8) = 81.23 MPa Maximum Shear Force in the Saddle (4.15.3) [T]: = Q(L-2a)/(L+(4•hm/3)) = 1185116( 10000.0 - 2 • 2000.0)/(10000.0 + ( 4 • 1025.4/3)) = 625545.1 N Shear Stress in the shell no rings, not stiffened (4.15.12) [α2]: = K2 • T / ( Rm • t ) = 1.1707 • 625545/( 2026.5999 • 46.8 ) = 7.72 MPa Decay Length (4.15.20) [x1,x2]: = 0.78 • ( Rm • t ) = 0.78 • ( 2026.6 • 46.8 ) = 240.216 mm Circumferential Stress in shell, no rings (4.15.21) [α6]: = -K5 • Q • k / ( t( b + X1 + X2 ) ) = - 0.7603 • 1185116 • 0.1/( 46.8( 290.0 + 240.22 + 240.22 ) ) = -2.50 MPa Circ. Comp. Stress at Horn of Saddle, L<8Rm (4.15.23) [σ7✱]: = -Q/(4•t(b+X1+X2)) - 12•K7•Q•Rm/(L•t²) = -1185116/(4•46.8(290.0+240.216+240.216)) 12 • 0.052 • 1185116 • 2026.6/(10000.001 • 46.8²) = -76.40 MPa Effective reinforcing plate width (4.15.24) [B1]: = min( b + 1.56 • ( Rm • t ), 2a ) = min( 290.0 + 1.56 • ( 2026.6 • 46.8 ), 2 • 2000.0 ) = 770.43 mm Results for Vessel Ribs, Web and Base: Baseplate Length Baseplate Thickness Baseplate Width Number of Ribs ( inc. outside ribs ) Rib Thickness Web Thickness Web Location Saddle Yield Stress Height of Web at Center Friction Coefficient Bplen Bpthk Bpwid Nribs Ribtk Webtk Webloc Sy Hw,c mu 3550.0000 25.0000 300.0000 4 20.0000 20.0000 Center 237.5 300.0 0.600 mm mm mm mm mm MPa mm Moment of Inertia of Saddle - Transverse Direction (90 degrees to long axis) Inertia of Shell [ShellInertia]: = (( 1.56 • ( R • t ) + WearPlateWidth )t³ )/12 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 104 of 165 Feb 9,2024 = (( 1.56 • ( 2003.2 • 46.8 ) + 550.0 )46.8³ )/12 = 8778111.000 mmα Resolved Inertia for the Shell [I,shell]: = ShellInertia + AShell( C1 - Y )² = 8778111 + 48094.016( 73.461 - 23.4 )² = 129308360.000 mmα Shell Wearplate Web BasePlate Totals B mm D mm Y mm A mm² AY mm³ I + AD^(2) mm^4 1027.6 550.0 20.0 300.0 ... 46.8 16.0 259.0 25.0 ... 23.4 54.8 192.3 334.3 ... 48094.0 8800.0 5180.0 7500.0 69574.0 1125400.0 482240.0 996113.4 2507249.0 5111002.0 0.129E+09 0.325E+07 0.102E+09 0.511E+09 0.745E+09 Distance to Centroid [C1]: = AY / A = 5111002/69574.016 = 73.461 mm Angle [α]: = 180 - Saddle Angle/2 = 180 - 120.0/2 = 120.0 Saddle Splitting Coefficient [K1]: = ( 1 + cos(α) - 0.5•sin(α)² )/(π - α + sin(α)cos(α) ) = ( 1 + cos(120.0) - 0.5•sin(120.0)² )/(π - 2.094 + sin(120.0)cos(120.0) ) = 0.2035 Saddle Splitting Force [Fh]: = K1 • Q = 0.204 • 1185116 = 241196.7969 N Tension Stress, St = ( Fh/As ) = Allowed Stress, Sa = 0.6 * Yield Str = 11.2299 142.5000 MPa MPa = 167305648.0000 N-mm Bending Stress, Sb = ( M * C1 / I ) = Allowed Stress, Sa = 2/3 * Yield Str = 16.4845 158.3333 MPa MPa Saddle Splitting Dimension [d]: = B - R • sin(theta/2)/(theta/2 in radians) = 2350.0 - 2003.2 • sin(120.0/2)/1.0472 = 693.367 mm Bending Moment, M = Fh * d Minimum Thickness of Baseplate per Moss: = ( 3( Q + SaddleWt )BasePlateWidth / ( 4 • BasePlateLength • AllStress )) = ( 3(1185116 + 13379)300.0/( 4 • 3550.0 • 158.333 )) = 21.904 mm Calculation of Axial Load, Intermediate Values and Compressive Stress: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 105 of 165 Feb 9,2024 Web Length Dimension [ Web Length ]: = 2 • cos( 90 - Saddle Angle/2 )( Inside Radius + Shell Thk + Wear Plate Thk ) = 2 • cos( 90 - 120.0/2 )( 2000.0 + 50.0 + 16.0 ) = 3578.417 mm Distance between Ribs [e]: = Web Length / ( Nribs - 1 ) = 3578.4167/( 4 - 1 ) = 1192.806 mm Baseplate Pressure Area [Ap]: = e • Bpwid / 2 = 1192.8055 • 300.0/2 = 178920.828 mm² Bearing Pressure [Bp]: = Q / ( BasePlateLength • BasePlateWidth ) = 1185116/( 3550.0 • 300.0 ) = 1.113 N/mm² Axial Load [P]: = Ap • Bp = 178920.8 • 1.11 = 199100.422 N Area of the Rib and Web [Ar]: = Rib Area + Web Area = 5400.0 + 11928.056 = 17328.055 mm² Compressive Stress [Sc]: = P/Ar = 199100.4/17328.0547 = 11.491 MPa Check of Outside Ribs: Inertia of Saddle, Outer Ribs - Longitudinal Direction Rib+Web B D Y A AY Io 20.0 290.0 ... 5800.0 ... 0.406E+08 Rib dimension [D]: = Saddle Width - Web Thickness = 290.0 - 20.0 = 270.000 mm Distance to Centroid from Datum [ytot]: = AY / A = 0.0/17328.055 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 290.0/2 = 145.000 mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 106 of 165 Feb 9,2024 Radius of Gyration [r]: = ( Total Inertia / Total Area ) = ( 40648296/17328.055 ) = 48.434 mm Length of Outer Rib, step 1, [Lw]: = 2 • sin( saddle bearing angle / 2 )( radius + shlthk + wpdthk ) = 2 • sin( 120.0/2 )( 2000.0 + 50.0 + 16.0 ) = 3578.417 mm Length of Outer Rib, step 2, [Bd]: = Baseplate length - clearance = 3550.0 - 50.8 = 3499.200 mm Length of Outer Rib, step 3, [Dd]: = ( Lw - Bd )/2 = ( 3578.417 - 3499.2 )/2 = 39.608 mm Length of Outer Rib [L]: = ( Rl² + Dd² ) = ( 1292.607² + 39.608² ) = 1292.607 mm Intermediate Term [Cc]: = ( 2 • π² • Elastic Modulus / Yield Stress ) = ( 2 • π² • 199955/237.5 ) = 128.914 Slenderness ratio [KL/r]: = KL/r = 1 • 1292.607/48.434 = 26.688 Bending Moment [Rm]: = Fl /( 2 • Bplen ) • e • L / 2 = 16914.6/( 2 • 3550.0 ) • 1192.806 • 1292.61/2 = 1837327.750 N-mm Compressive Allowable, KL/r < Cc ( 26.6882 < 128.9137 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2•Cc²))Fy/(5/3+3•(Klr)/(8•Cc)-(Klr³)/(8•Cc³) = ( 1-( 26.69 )²/(2 • 128.91² ))238/ ( 5/3+3•(26.69)/(8• 128.91)-( 26.69³)/(8•128.91³) = 133.3 MPa AISC Unity Check of Outside Ribs ( must be ≤ 1 ) = Sc/Sca + ( Rm • C1 / I )/Sba = 11.49/133.32 + ( 1837328 • 145.0/40648336 )/158.33 = 0.128 Check of Inside Ribs: Inertia of Saddle, Inner Ribs - Axial Direction B D Y A AY Io LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Rib Web Totals 20.0 1192.8 ... 270.0 20.0 ... 0.0 0.0 ... Page 107 of 165 Feb 9,2024 5400.0 23856.1 29256.1 0.0 0.0 ... Distance to Centroid from Datum [ytot]: = AY / A = 0.0/29256.111 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 290.0/2 = 145.000 mm Length of Inner Rib [L]: = Saddle Height - ( (Ro + Wpdthk)² - (Pitch/2)² ) - Bpthk = 2350.0 - ( (2066.0 + 16.0)² - (1192.806/2)² ) - 25.0 = 346.956 mm Radius of Gyration [r]: = ( Total Inertia / Total Area ) = ( 41430164/29256.111 ) = 37.631 mm Slenderness ratio [KL/r]: = KL/r = 1 • 346.956/37.631 = 9.220 Unit Force [Force,u]: = Fl / ( 2 • Baseplate Length ) = 16914.643/( 2 • 3550.0 ) = 2.382 N/mm Moment at base of inner Rib [Mbase,c]: = Unit Force • e • L = 2.382 • 1192.806 • 346.956 = 986334.250 N-mm Bending Stress due to Transverse Force and Weight Load [αB,base,c]: = Bending Moment / Section Modulus = 986334/285725.531 = 3.451 MPa Compressive Allowable, KL/r < Cc ( 9.2198 < 128.9137 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2•Cc²))Fy/(5/3+3•(Klr)/(8•Cc)-(Klr³)/(8•Cc³) = ( 1-( 9.22 )²/(2 • 128.91² ))238/ ( 5/3+3•(9.22)/(8• 128.91)-( 9.22³)/(8•128.91³) = 139.9 MPa AISC Unity Check of Inside Ribs ( must be ≤ 1 ) = Sc/Sca + ( Mbase,c • C1/I )/Sba = 13.76/139.89 + ( 986334 • 145.0/41430164 )/158.33 = 0.120 Input Data for Base Plate Bolting Calculations: 0.406E+08 0.795E+06 0.414E+08 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Total Number of Bolts per BasePlate Total Number of Bolts in Tension/Baseplate Bolt Material Specification Bolt Allowable Stress Bolt Corrosion Allowance Distance from Bolts to Edge Nominal Bolt Diameter Thread Series BasePlate Allowable Stress Area Available in a Single Bolt Saddle Load QO (Weight) Saddle Load QL (Wind/Seismic contribution) Maximum Transverse Force Maximum Longitudinal Force Saddle Bolted to Steel Foundation Nbolts Nbt Stba Bca Edgedis Bnd Series S BltArea QO QL Ft Fl Page 108 of 165 Feb 9,2024 4 2 SA-36 137.00 MPa 3.0 mm 125.0 mm 42.0000 mm TEMA Metric 137.90 MPa 707.4074 mm² 1173197.2 N 6624.9 N 12738.7 N 16914.6 N No Shear Stress in a Single Bolt, Longitudinal Direction [αb,l]: = Fl / ( Bolt Area • Number of Bolts ) = 16915/( 707.41 • 4 ) = 6.0 MPa. Must be less than 91.0 MPa. Shear Stress in a Single Bolt, Transverse Direction [αb,t]: = Ft / ( Bolt Area • Number of Bolts ) = 12739/( 707.41 • 4 ) = 4.5 MPa. Must be less than 91.0 MPa. Bolt Area Calculation per Dennis R. Moss Bolt Area Requirement Due to Longitudinal Load [Bltarearl]: = 0.0 (QO > QL --> No Uplift in Longitudinal direction) Bolt Area due to Shear Load [Bltarears]: = Fl / ( BoltShearAllowable • Nbolts ) = 16914.64/(91.0 • 4.0) = 46.4727 mm² Bolt Area due to Transverse Load: Moment on Baseplate Due to Transverse Load [Rmom]: = B • Ft + Sum of X Moments = 2350.0 • 12738.68 + 0.0 = 29948032.00 N-mm Eccentricity (e): = Rmom / QO = 29948032/1173197 = 25.52 mm < Bplen/6 --> No Uplift in Transverse direction Bolt Area due to Transverse Load [Bltareart]: = 0 (No Uplift) Required Area of a Single Bolt [Bltarear]: = max[Bltarearl, Bltarears, Bltareart] = max[0.0, 46.4727, 0.0] = 46.4727 mm² LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Saddle Calcs: Test Case: Step: 24 2:42pm Page 109 of 165 Feb 9,2024 Review notes about nozzle loadings and supports in the Warnings report. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N2-20`` Nozl: 21 2:42pm Input, Nozzle Desc: N2-20 ` Page 110 of 165 Feb 9,2024 From: 20 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0562 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-516 70 137.90 137.90 MPa MPa Inside Diameter of Cylindrical Shell Shell Finished (Minimum) Thickness Shell Internal Corrosion Allowance Shell External Corrosion Allowance D t c co 4000.00 50.0000 3.2000 0.0000 mm mm mm mm 1650.00 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Outside 0.00 20.0000 deg in. tn Actual 12.7000 mm h L' ( tn or x+tp ) 110.0000 87.3000 100.0000 mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 400.0000 10.0000 50.0000 0.0000 0.0000 UW-16.1(q) mm mm mm mm mm Distance from Bottom/Left Tangent User Entered Minimum Design Metal Temperature Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck The Pressure Design option was MAWP + static head (bottom of element). Reinforcement CALCULATION, Description: N2-20 ` ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Outside Diameter Used in Calculation 20.000 in. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N2-20`` Nozl: 21 2:42pm Actual Thickness Used in Calculation Page 111 of 165 Feb 9,2024 0.500 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) = 3.06•2003.2/(138•1.0-0.6•3.06) = 44.9942 mm Reqd thk per UG-37(a) of Nozzle Wall, trn [Int. Press] = P•Ro/(Sn•E+0.4•P) per Appendix 1-1 (a)(1) = 3.06•254.0/(138•1.0+0.4•3.06) = 5.5798 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 87.3/0.5773 = 151.2081 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall, opening length d Normal to Vessel Wall (Thickness Limit), no pad Tlnp 978.0000 489.0000 117.0000 Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 Area Required Ar Area in Shell A1 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 Area in Element A5 Area in Hub + Bevel A6 MAWP External Mapnc 22002.184 883.017 917.324 0.000 100.000 0.000 20379.211 NA NA NA NA NA NA NA NA NA NA NA NA NA NA mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N2-20`` Nozl: 21 2:42pm Page 112 of 165 Feb 9,2024 TOTAL AREA AVAILABLE NA Atot 22279.551 NA The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 degs. The area available without a pad is Sufficient. Area Required [A]: = ( d • tr•F + 2 • tn • tr•F • (1-fr1) ) UG-37(c) = (489.0•44.9942•1.0+2•96.8•44.9942•1.0•(1-1.0)) = 22002.184 mm² 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 ) = 489.0( 1.0 • 46.8 - 1.0 • 44.994 ) - 2 • 96.8 ( 1.0 • 46.8 - 1.0 • 44.9942 ) • ( 1 - 1.0 ) = 883.017 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 117.0 )( 9.5 - 5.58 )1.0 = 917.324 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(117.0,400.0,110.0)) • (100.0 - 12.7) • 1.0 ) = 20379.211 mm² Includes Bevel Area of 1173.211 mm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 8.7798 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 48.1942 mm Wall Thickness tb1 = max(trb1, tr16b) = 48.1942 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 11.5312 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 11.531, max( 48.1942, 4.7 ) ] = 11.5312 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 8.7798, 11.5312 ) = 11.5312 mm Available Nozzle Neck Thickness = 12.7000 mm🠖OK Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N2-20`` Nozl: 21 2:42pm Page 113 of 165 Feb 9,2024 Nozzle-Shell/Head Weld (UCS-66(a)1(b)), min( Curve:B, Curve:D) Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 17 °C 15 °C Gov. MDMT of the nozzle to shell joint welded assembly : 15 °C Weld Size Calculations, Description: N2-20 ` Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 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, (22002.1836 - 883.0173 + 2 • 96.8 • 1.0 • (1.0 • 46.8 - 44.9942 ) )138) = 2960290.50 N For hub type nozzles, A2 includes the area of the hub. Note: F is always set to 1.0 throughout the calculation. Weld Load [W1]: = (A2+A4-(Wi-Can/.707)²•fr2)•Sv = ( 21296.5352 + 100.0 - 0.0 • 1.0 ) • 138 = 2950331.25 N Weld Load [W2]: = (A2 + A3 + A4 + (2 • tn • t • fr1)) • Sv = ( 21296.5352 + 0.0 + 100.0 + ( 9060.4805 ) ) • 138 = 4199665.00 N Weld Load [W3]: = (A2+A3+A4+A5+(2•tn•t•fr1))•S = ( 21296.5352 + 0.0 + 100.0 + 0.0 + ( 9060.4805 ) ) • 138 = 4199665.00 N Strength of Connection Elements for Failure Path Analysis Shear, Outward Nozzle Weld [Sonw]: = (π/2) • Dlo • Wo • 0.49 • Snw = ( 3.1416/2.0 ) • 508.0 • 10.0 • 0.49 • 138 = 539147. N Shear, Nozzle Wall [Snw]: = (π •( Dlr + Dlo )/4 ) • ( Thk - Can ) • 0.7 • Sn = (3.1416 • 249.25) • ( 100.0 - 3.2 ) • 0.7 • 138 = 7316202. N LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N2-20`` Nozl: 21 2:42pm Page 114 of 165 Feb 9,2024 Tension, Shell Groove Weld [Tngw]: = (π/2) • Dlo • ( T - cas ) • 0.74 • Sng = ( 3.1416/2.0 ) • 508.0 • ( 50.0 - 3.2 ) • 0.74 • 138 = 3810557. N See UG-41 and UW-15 for clarification of allowable stresses. Strength of Failure Paths: Failure Path [Path 1-1]: = ( SONW + SNW ) = ( 539147 + 7316203 ) = 7855349 N Failure Path [Path 2-2]: = ( Sonw + Tpgw + Tngw + Sinw ) = ( 539147 + 0 + 3810557 + 0 ) = 4349704 N Failure Path [Path 3-3]: = ( Sonw + Tngw + Sinw ) = ( 539147 + 3810557 + 0 ) = 4349704 N Summary of Failure Path Calculations: Path 1-1 = 7855349 N , must exceed W = 2960290 N Path 2-2 = 4349704 N , must exceed W = 2960290 N Path 3-3 = 4349704 N , must exceed W = 2960290 N or W1 = 2950331 N or W2 = 4199665 N or W3 = 4199665 N Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa The Drop for this Nozzle is : 16.1946 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 466.1946 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Input, Nozzle Desc: N5-8'' Page 115 of 165 Feb 9,2024 From: 20 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0562 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-516 70 137.90 137.90 MPa MPa Inside Diameter of Cylindrical Shell Shell Finished (Minimum) Thickness Shell Internal Corrosion Allowance Shell External Corrosion Allowance D t c co 4000.00 50.0000 3.2000 0.0000 mm mm mm mm Distance from Bottom/Left Tangent 550.00 mm User Entered Minimum Design Metal Temperature -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Outside 0.00 8.0000 deg in. Actual 12.7000 mm Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness tn Flange Material Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle SA-105 h L' ( tn or x+tp ) 100.0000 37.3000 50.0000 mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 188.7480 10.0000 50.0000 0.0000 0.0000 UW-16.1(g) mm mm mm mm mm Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck Flange Class Flange Grade 300 GR 1.1 The Pressure Design option was MAWP + static head (bottom of element). Reinforcement CALCULATION, Description: N5-8'' LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Page 116 of 165 Feb 9,2024 ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Outside Diameter Used in Calculation Actual Thickness Used in Calculation 8.000 0.500 in. in. Note: Post Weld Heat Treatment is required for this nozzle and it was specified as being heat treated. 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) = 3.06•2003.2/(138•1.0-0.6•3.06) = 44.9942 mm Reqd thk per UG-37(a) of Nozzle Wall, trn [Int. Press] = P•Ro/(Sn•E+0.4•P) per Appendix 1-1 (a)(1) = 3.06•101.6/(138•1.0+0.4•3.06) = 2.2319 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 37.3/0.5773 = 64.6055 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall, opening length d Normal to Vessel Wall (Thickness Limit), no pad Tlnp 368.4000 184.2000 88.3555 Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 MAWP External Mapnc mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Page 117 of 165 Feb 9,2024 Area Required Ar Area in Shell A1 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 Area in Element A5 Area in Hub A6 8287.938 332.621 1284.349 0.000 100.000 0.000 6591.321 NA NA NA NA NA NA NA NA NA NA NA NA NA NA TOTAL AREA AVAILABLE 8308.292 NA NA Atot The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 degs. The area available without a pad is Sufficient. Area Required [A]: = ( d • tr•F + 2 • tn • tr•F • (1-fr1) ) UG-37(c) = (184.2•44.9942•1.0+2•46.8•44.9942•1.0•(1-1.0)) = 8287.938 mm² 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 ) = 184.2( 1.0 • 46.8 - 1.0 • 44.994 ) - 2 • 46.8 ( 1.0 • 46.8 - 1.0 • 44.9942 ) • ( 1 - 1.0 ) = 332.621 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 88.36 )( 9.5 - 2.23 )1.0 = 1284.349 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(88.4,188.7,100.0)) • (50.0 - 12.7) • 1.0 ) = 6591.321 mm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 5.4319 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 48.1942 mm Wall Thickness tb1 = max(trb1, tr16b) = 48.1942 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 10.3600 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 10.36, max( 48.1942, 4.7 ) ] = 10.3600 mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Page 118 of 165 Feb 9,2024 Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 5.4319, 10.36 ) = 10.3600 mm Available Nozzle Neck Thickness = 12.7000 mm🠖OK Stresses on Nozzle due to External and Pressure Loads per the ASME B31.3 Piping Code, (see 319.4.4 and 302.3.5): Sustained : Expansion : Occasional : Shear : 45.9, 0.0, 14.1, 21.9, Allowable : Allowable : Allowable : Allowable : 137.9 MPa 298.8 MPa 183.4 MPa 96.5 MPa Passed Passed Passed Passed The number of cycles on this nozzle was assumed to be 7000 or less for the determination of the expansion stress allowable. Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle Neck to Flange Weld, Curve: B Govrn. thk, tg = 12.7, tr = 2.232, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.235, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) -21 °C -104 °C Nozzle-Shell/Head Weld (UCS-66(a)1(b)), min( Curve:B, Curve:D) Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 17 °C 15 °C Gov. MDMT of the nozzle to shell joint welded assembly : 15 °C Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -29 °C -48 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.06/5.11 = 0.598 Weld Size Calculations, Description: N5-8'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 7.0700 = 0.7 * Wo mm Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Page 119 of 165 Feb 9,2024 The Drop for this Nozzle is : 2.5822 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 241.3302 mm Input Echo, WRC297 Item 1, Description: N5-8'' Diameter Basis for Cylindrical Shell Shell Corrosion Allowance Shell Diameter Shell Thickness Shell Stress Concentration Factor Vessel Material Vessel Cold S.I. Allowable Vessel Hot S.I. Allowable Smc Smh : ID 3.2000 4000.000 50.0000 1.000 SA-516 70 137.90 137.90 mm mm mm MPa MPa Using 2 * Yield for Discontinuity Stress Allowable (Div 2, 4.1.6.3), Sps. Make sure that material properties at this temperature are not time-dependent for Material: SA-516 70 Diameter Basis for Nozzle Nozzle Corrosion Allowance Nozzle Diameter Nozzle Thickness Nozzle Stress Concentration Factor Nozzle Material Nozzle Cold S.I. Allowable Nozzle Hot S.I. Allowable OD 3.2000 277.800 50.0000 1.000 SA-105 137.90 137.90 SNmc SNmh mm mm mm MPa MPa Using 2 * Yield for Discontinuity Stress Allowable (Div 2, 4.1.6.3), Sps. Make sure that material properties at this temperature are not time-dependent for Material: SA-105 Note: External Forces and Moments in WRC 107/537 Convention: These loads are assumed to be SUStained loads. Design Internal Pressure Radial Load Circumferential Shear Longitudinal Shear Circumferential Moment Longitudinal Moment Torsional Moment Dp P Vc Vl Mc Ml Mt 3.06 -5939.99 8800.01 8800.01 0.528E+07 0.704E+07 0.880E+07 Include Axial Pressure Thrust Include Pressure Stress Indices per Div. 2 Local Loads applied at end of Nozzle/Attachment No No No Warning - The ratio, Dn/Tn (5.556) is < 10 check the limitations of WRC bulletin 297. Stress Computations at the Edge of the Nozzle: Stress Attenuation Diameter (for Insert Plates) per WRC 297: = NozzleOD + 2 • 1.65 • ( Rmean( t - ca ) ) = 277.8 + 2 • 1.65 • ( 2026.6( 50.0 - 3.2 ) ) MPa N N N N-mm N-mm N-mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Page 120 of 165 Feb 9,2024 = 1294.098 mm WRC 297 Curve Access Parameters: Vessel Mean Diameter Nozzle Outside Diameter Vessel Thickness used Nozzle Thickness used T / t d / t α = [(d/D) • (D/T)] Nr/P = Mr/P = M0/P = N0/P = MrD/Mc = NrDL/Mc = M0d/Mc = N0DL/Mc = MrD/Ml = NrDL/Ml = M0D/Ml = N0DL/Ml = 0.160 0.246 0.085 0.153 0.288 0.145 0.115 -0.086 0.242 0.133 0.095 0.044 (D) = (d) = (T) = (t) = = = 4053.200 mm 277.800 mm 46.800 mm 46.800 mm 1.000 10.000 = 0.638 Vessel Stresses (MPa): LONGITUDINAL PLANE (Stresses Normal to longitudinal plane) Au Top Outside Al Top Inside Bu Bottom Outside Bl Bottom Inside Outplane Membrane (P ) Outplane Bending (P ) Outplane Membrane (Mc) Outplane Bending (Mc) Outplane Membrane (ML) Outplane Bending (ML) Normal Pressure Stress 0 1 0 0 0 -6 129 0 -1 0 0 0 6 132 0 1 0 0 0 6 129 0 -1 0 0 0 -6 132 Outplane Stress Summary 124 137 138 125 Vessel Stresses (MPa): LONGITUDINAL PLANE (Stresses parallel to longitudinal plane) Au Top Outside Al Top Inside Bu Bottom Outside Bl Bottom Inside Inplane Membrane (P ) Inplane Bending (P ) Inplane Membrane (Mc) Inplane Bending (Mc) Inplane Membrane (ML) Inplane Bending (ML) Inplane Pressure Stress 0 3 0 0 -1 -16 64 0 -3 0 0 -1 16 64 0 3 0 0 1 16 64 0 -3 0 0 1 -16 64 Inplane Stress Summary 50 76 87 45 Vessel Stresses (MPa): LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm LONGITUDINAL PLANE (Shear stress normal to longitudinal plane) Page 121 of 165 Feb 9,2024 Au Top Outside Al Top Inside Bu Bottom Outside Bl Bottom Inside (Vc) (Vl) (Mt) 0 0 1 0 0 1 0 0 1 0 0 1 Shear Stress Summary 1 1 1 1 Au Top Outside Al Top Inside Bu Bottom Outside Bl Bottom Inside Two * Max Shear Stress 124 137 138 125 Vessel Stresses (MPa): CIRCUMFERENTIAL PLANE (Stresses Normal to circumferential plane) Cu Left Outside Cl Left Inside Du Right Outside Dl Right Inside Outplane Membrane (P ) Outplane Bending (P ) Outplane Membrane (Mc) Outplane Bending (Mc) Outplane Membrane (ML) Outplane Bending (ML) Normal Pressure Stress 0 1 0 -5 0 0 64 0 -1 0 5 0 0 64 0 1 0 5 0 0 64 0 -1 0 -5 0 0 64 Outplane Stress Summary 61 70 71 56 Vessel Stresses (MPa): CIRCUMFERENTIAL PLANE (Stresses parallel to circumferential plane) Cu Left Outside Cl Left Inside Du Right Outside Dl Right Inside Inplane Membrane (P ) Inplane Bending (P ) Inplane Membrane (Mc) Inplane Bending (Mc) Inplane Membrane (ML) Inplane Bending (ML) Inplane Pressure Stress 0 3 -1 -14 0 0 129 0 -3 -1 14 0 0 132 0 3 1 14 0 0 129 0 -3 1 -14 0 0 132 Inplane Stress Summary 117 142 149 115 Vessel Stresses (MPa): CIRCUMFERENTIAL PLANE (Shear stress normal to circumferential plane) Cu Left Outside Cl Left Inside Du Right Outside Dl Right Inside (Vc) (Vl) (Mt) 0 0 1 0 0 1 0 0 1 0 0 1 Shear Stress Summary 1 1 1 1 Outplane Outplane Outplane Shear Shear Shear Vessel Stresses (MPa): LONGITUDINAL PLANE (Stress Intensities Outplane Shear Outplane Shear Torsional Shear LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Vessel Stresses (MPa): CIRCUMFERENTIAL PLANE (Stress Intensities Page 122 of 165 Feb 9,2024 Cu Left Outside Cl Left Inside Du Right Outside Dl Right Inside Two * Max Shear Stress 117 142 150 115 Nozzle Stresses (MPa): LONGITUDINAL PLANE (Stresses in the hoop direction) Au Top Outside Al Top Inside Bu Bottom Outside Bl Bottom Inside Hoop Membrane (P ) Hoop Bending (P ) Hoop Membrane (Mc) Hoop Bending (Mc) Hoop Membrane (ML) Hoop Bending (ML) Hoop Pressure Stress 0 0 0 0 0 0 5 0 0 0 0 0 0 9 0 0 0 0 0 0 5 0 0 0 0 0 0 9 Hoop Stress Summary 5 9 6 10 Au Top Outside Al Top Inside Bu Bottom Outside Bl Bottom Inside Axial Membrane (P ) Axial Bending (P ) Axial Membrane (Mc) Axial Bending (Mc) Axial Membrane (ML) Axial Bending (ML) Axial Pressure Stress 0 2 0 0 -4 -12 2 0 -2 0 0 -4 12 2 0 2 0 0 4 12 2 0 -2 0 0 4 -12 2 Axial Stress Summary -10 8 22 -7 Au Outside Al Inside Bu Outside Bl Inside Shear due to (Vc) Shear due to (Vl) Shear due to Torsion 0 0 1 0 0 1 0 0 1 0 0 1 Shear Stress Summary 1 1 1 1 Nozzle Stresses (MPa): LONGITUDINAL PLANE (Stress Intensities Au Outside Al Inside Bu Outside Bl Inside Two * Max Shear Stress 16 10 22 18 Nozzle Stresses (MPa): CIRCUMFERENTIAL PLANE (Stresses in the Cu Left Cl Left Du Right Dl Right Nozzle Stresses (MPa): LONGITUDINAL PLANE (Stresses Normal to pipe cross-section) Nozzle Stresses (MPa): LONGITUDINAL PLANE (Shear stress) LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm hoop direction) Page 123 of 165 Feb 9,2024 Outside Inside Outside Inside Hoop Membrane (P ) Hoop Bending (P ) Hoop Membrane (Mc) Hoop Bending (Mc) Hoop Membrane (ML) Hoop Bending (ML) Hoop Pressure Stress 0 0 0 0 0 0 5 0 0 0 0 0 0 9 0 0 0 0 0 0 5 0 0 0 0 0 0 9 Hoop Stress Summary 6 10 5 9 Cu Left Outside Cl Left Inside Du Right Outside Dl Right Inside Axial Membrane (P ) Axial Bending (P ) Axial Membrane (Mc) Axial Bending (Mc) Axial Membrane (ML) Axial Bending (ML) Axial Pressure Stress 0 2 -3 -11 0 0 2 0 -2 -3 11 0 0 2 0 2 3 11 0 0 2 0 -2 3 -11 0 0 2 Axial Stress Summary -8 8 20 -7 Cu Outside Cl Inside Du Outside Dl Inside Shear due to (Vc) Shear due to (Vl) Shear due to Torsion 0 0 1 0 0 1 0 0 1 0 0 1 Shear Stress Summary 1 1 1 1 Nozzle Stresses (MPa): CIRCUMFERENTIAL PLANE (Stress Intensities Cu Outside Cl Inside Du Outside Dl Inside Two * Max Shear Stress 15 11 20 17 Nozzle Stresses (MPa): CIRCUMFERENTIAL PLANE (Stresses Normal to pipe cross-section) Nozzle Stresses (MPa): CIRCUMFERENTIAL PLANE (Shear stress) WRC 297 Stress Summations per ASME Sec. VIII Div. 2: Vessel Stress Summation at Vessel-Nozzle Junction (MPa): Type of Stress Int. Location Stress Values at Au Al Bu Bl Cu Cl Du Dl Circ. Pm (SUS) Circ. Pl (SUS) Circ. Q (SUS) 129 0 -5 132 0 5 129 0 7 132 0 -7 129 -1 -11 132 -1 11 129 1 17 132 1 -17 Long. Pm (SUS) Long. Pl (SUS) 64 -1 64 -1 64 1 64 1 64 0 64 0 64 0 64 0 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Long. Q Page 124 of 165 Feb 9,2024 (SUS) -13 13 19 -19 -4 4 6 -6 Shear Pm (SUS) Shear Pl (SUS) Shear Q (SUS) Pm (SUS) 0 0 1 129.0 0 0 1 132.0 0 0 1 129.0 0 0 1 132.0 0 0 1 129.0 0 0 1 132.0 0 0 1 129.0 0 0 1 132.0 Pm+Pl (SUS) 129.0 132.0 129.0 132.0 128.0 131.0 130.0 133.0 Pm+Pl+Q (Total) 124.0 137.0 136.0 125.0 117.0 142.0 147.0 116.0 Vessel Stress Summation Comparison (MPa): Type of Stress Int. Max. S.I. S.I. Allowable Result 132.00 133.00 147.01 137.90 206.85 413.70 Passed Passed Passed Pm (SUS) Pm+Pl (SUS) Pm+Pl+Q (TOTAL) Because only sustained loads were specified, the Pm+Pl+Q allowable was 3 * Smh. WRC 297 Stress Summations per ASME Sec. VIII Div. 2: Nozzle Stress Summation at Vessel-Nozzle Junction (MPa): Type of Stress Int. Location Stress Values at Au Al Bu Bl Cu Cl Du Dl Circ. Pm (SUS) Circ. Pl (SUS) Circ. Q (SUS) 5 0 0 9 0 0 5 0 0 9 0 0 5 0 0 9 0 0 5 0 0 9 0 0 Long. Pm (SUS) Long. Pl (SUS) Long. Q (SUS) 2 -4 -10 2 -4 10 2 4 14 2 4 -14 2 -3 -9 2 -3 9 2 3 13 2 3 -13 Shear Pm (SUS) Shear Pl (SUS) Shear Q (SUS) Pm (SUS) 0 0 1 5.0 0 0 1 9.0 0 0 1 5.0 0 0 1 9.0 0 0 1 5.0 0 0 1 9.0 0 0 1 5.0 0 0 1 9.0 Pm+Pl (SUS) 7.0 11.0 6.0 9.0 6.0 10.0 5.0 9.0 Pm+Pl+Q (Total) 17.1 9.6 20.1 17.1 15.1 9.6 18.1 17.1 Nozzle Stress Summation Comparison (MPa): Type of Stress Int. Pm (SUS) Pm+Pl (SUS) Max. S.I. S.I. Allowable Result 9.00 11.00 137.90 206.85 Passed Passed LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N5-8'' Nozl: 22 2:42pm Pm+Pl+Q (TOTAL) 20.07 413.70 Page 125 of 165 Feb 9,2024 Passed Because only sustained loads were specified, the Pm+Pl+Q allowable was 3 * Smh. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N8-3'' Nozl: 23 2:42pm Input, Nozzle Desc: N8-3'' Page 126 of 165 Feb 9,2024 From: 30 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0562 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-516 70 137.90 137.90 MPa MPa Inside Diameter of Cylindrical Shell Shell Finished (Minimum) Thickness Shell Internal Corrosion Allowance Shell External Corrosion Allowance D t c co 4000.00 50.0000 3.2000 0.0000 mm mm mm mm 3600.00 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Inside 0.00 2.9000 deg in. Actual 17.1450 mm Distance from Bottom/Left Tangent User Entered Minimum Design Metal Temperature Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness tn Flange Material [Normalized] Flange Type Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle Style of FVC Nozzle SA-105 N/A h L' ( tn or x+tp ) 50.0000 32.8550 50.0000 Heavy Barrel mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 250.0000 10.0000 50.0000 0.0000 0.0000 UW-16.1(g) mm mm mm mm mm Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck Flange Class Flange Grade 300 GR 1.1 The Pressure Design option was MAWP + static head (bottom of element). LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N8-3'' Nozl: 23 2:42pm Page 127 of 165 Feb 9,2024 Reinforcement CALCULATION, Description: N8-3'' ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Inside Diameter Used in Calculation Actual Thickness Used in Calculation 2.900 0.675 in. 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) = 3.06•2003.2/(138•1.0-0.6•3.06) = 44.9942 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) = 3.06•40.03/(138•1.0-0.6•3.06) = 0.8991 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 32.855/0.5773 = 56.9066 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall Rn+tn+t Normal to Vessel Wall (Thickness Limit), no pad Tlnp 201.5500 100.7750 91.7691 Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 Area Required Area in Shell Ar A1 MAWP External Mapnc 3602.239 219.382 NA NA NA NA mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N8-3'' Nozl: 23 2:42pm Page 128 of 165 Feb 9,2024 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 Area in Element A5 Area in Hub A6 2394.416 0.000 100.000 0.000 4364.951 NA NA NA NA NA NA NA NA NA NA TOTAL AREA AVAILABLE 7078.749 NA NA Atot The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 degs. The area available without a pad is Sufficient. Area Required [A]: = ( d • tr•F + 2 • tn • tr•F • (1-fr1) ) UG-37(c) = (80.06•44.9942•1.0+2•46.8•44.9942•1.0•(1-1.0)) = 3602.239 mm² 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 ) = 121.49( 1.0 • 46.8 - 1.0 • 44.994 ) - 2 • 46.8 ( 1.0 • 46.8 - 1.0 • 44.9942 ) • ( 1 - 1.0 ) = 219.382 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 91.77 )( 13.94 - 0.9 )1.0 = 2394.416 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(91.8,250.0,50.0)) • (50.0 - 17.1) • 1.0 ) = 4364.951 mm² Includes Bevel Area of 1079.451 mm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 4.0991 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 48.1942 mm Wall Thickness tb1 = max(trb1, tr16b) = 48.1942 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 8.4578 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 8.458, max( 48.1942, 4.7 ) ] = 8.4578 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N8-3'' Nozl: 23 2:42pm Page 129 of 165 Feb 9,2024 = max( 4.0991, 8.4578 ) = 8.4578 mm Available Nozzle Neck Thickness = 17.1450 mm🠖OK Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle-Shell/Head Weld (UCS-66(a)1(b)), min( Curve:B, Curve:D) Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 17 °C 15 °C Gov. MDMT of the nozzle to shell joint welded assembly : 15 °C Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -18 °C -40 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.06/5.11 = 0.598 Weld Size Calculations, Description: N8-3'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 7.0700 = 0.7 * Wo mm Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa Note: The MAWP of this junction was limited by the parent Shell/Head. The Drop for this Nozzle is : 1.8857 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 301.8858 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N6-1'' Nozl: 24 2:42pm Input, Nozzle Desc: N6-1'' Page 130 of 165 Feb 9,2024 From: 40 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0562 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-516 70 137.90 137.90 MPa MPa Inside Diameter of Cylindrical Shell Shell Finished (Minimum) Thickness Shell Internal Corrosion Allowance Shell External Corrosion Allowance D t c co 4000.00 50.0000 3.2000 0.0000 mm mm mm mm 5550.00 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Inside 0.00 1.0000 deg in. Actual 12.7000 mm Distance from Bottom/Left Tangent User Entered Minimum Design Metal Temperature Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness tn Flange Material [Normalized] Flange Type SA-105 Long Weld Neck Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 214.3130 10.0000 50.0000 0.0000 0.0000 UW-16.1(c) mm mm mm mm mm Flange Class Flange Grade 300 GR 1.1 The Pressure Design option was MAWP + static head (bottom of element). Reinforcement CALCULATION, Description: N6-1'' ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N6-1'' Nozl: 24 2:42pm Actual Inside Diameter Used in Calculation Actual Thickness Used in Calculation Page 131 of 165 Feb 9,2024 1.000 0.500 in. 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) = 3.06•2003.2/(138•1.0-0.6•3.06) = 44.9942 mm Reqd thk per App. 1 of Nozzle Wall, trn [Int. Press] = R( exp([P/(Sn•E)] - 1 ) per Appendix 1-2 (a)(1) = 15.9(exp([3.06/(137.9•1.0]-1) = 0.3563 mm UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall Rn+tn+t Normal to Vessel Wall (Thickness Limit), no pad Tlnp 144.4000 72.2000 23.7500 mm mm mm Taking a UG-36(c)(3)(a) exemption for nozzle: N6-1''. This calculation is valid for nozzles that meet all the requirements of paragraph UG-36. Please check the Code carefully, especially for nozzles that are not isolated or do not meet Code spacing requirements. To force the computation of areas for small nozzles go to Tools->Configuration and check the box to force the UG-37 small nozzle area calculation. UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 3.5563 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 48.1942 mm Wall Thickness tb1 = max(trb1, tr16b) = 48.1942 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 6.6200 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 6.62, max( 48.1942, 4.7 ) ] = 6.6200 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 3.5563, 6.62 ) = 6.6200 mm Available Nozzle Neck Thickness = 12.7000 mm🠖OK Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle-Shell/Head Weld (UCS-66(a)1(b)), min( Curve:B, Curve:D) Govrn. thk, tg = 12.7, tr = 0.356, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.038, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) -21 °C -104 °C LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N6-1'' Nozl: 24 2:42pm Page 132 of 165 Feb 9,2024 Gov. MDMT of the nozzle to shell joint welded assembly : -104 °C Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -29 °C -48 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.06/5.11 = 0.598 Weld Size Calculations, Description: N6-1'' Intermediate Calc. for nozzle/shell Welds Tmin 9.5000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 7.0700 = 0.7 * Wo mm Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa Note: The MAWP of this junction was limited by the parent Shell/Head. The Drop for this Nozzle is : 0.1612 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 264.4743 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N7-14'' Nozl: 25 2:42pm Input, Nozzle Desc: N7-14'' Page 133 of 165 Feb 9,2024 From: 40 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0562 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-516 70 137.90 137.90 MPa MPa Inside Diameter of Cylindrical Shell Shell Finished (Minimum) Thickness Shell Internal Corrosion Allowance Shell External Corrosion Allowance D t c co 4000.00 50.0000 3.2000 0.0000 mm mm mm mm 6350.00 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Outside 0.00 14.0000 deg in. Actual 12.7000 mm Distance from Bottom/Left Tangent User Entered Minimum Design Metal Temperature Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness tn Flange Material Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle SA-105 h L' ( tn or x+tp ) 100.0000 67.3000 80.0000 mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type This is a Manway or Access Opening. 207.2520 10.0000 50.0000 0.0000 0.0000 UW-16.1(q) mm mm mm mm mm Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck Flange Class Flange Grade 300 GR 1.1 The Pressure Design option was MAWP + static head (bottom of element). LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N7-14'' Nozl: 25 2:42pm Page 134 of 165 Feb 9,2024 Reinforcement CALCULATION, Description: N7-14'' ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Outside Diameter Used in Calculation Actual Thickness Used in Calculation 14.000 0.500 in. in. Note: Post Weld Heat Treatment is required for this nozzle and it was specified as being heat treated. 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) = 3.06•2003.2/(138•1.0-0.6•3.06) = 44.9942 mm Reqd thk per UG-37(a) of Nozzle Wall, trn [Int. Press] = P•Ro/(Sn•E+0.4•P) per Appendix 1-1 (a)(1) = 3.06•177.8/(138•1.0+0.4•3.06) = 3.9059 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 67.3/0.5773 = 116.5671 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall, opening length d Normal to Vessel Wall (Thickness Limit), no pad Tlnp 673.2000 336.6000 117.0000 Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 MAWP External Mapnc mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N7-14'' Nozl: 25 2:42pm Page 135 of 165 Feb 9,2024 Area Required Ar Area in Shell A1 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 Area in Element A5 Area in Hub + Bevel A6 15145.061 607.819 1309.027 0.000 100.000 0.000 15459.202 NA NA NA NA NA NA NA NA NA NA NA NA NA NA TOTAL AREA AVAILABLE 17476.049 NA NA Atot The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 degs. The area available without a pad is Sufficient. Area Required [A]: = ( d • tr•F + 2 • tn • tr•F • (1-fr1) ) UG-37(c) = (336.6•44.9942•1.0+2•76.8•44.9942•1.0•(1-1.0)) = 15145.061 mm² 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 ) = 336.6( 1.0 • 46.8 - 1.0 • 44.994 ) - 2 • 76.8 ( 1.0 • 46.8 - 1.0 • 44.9942 ) • ( 1 - 1.0 ) = 607.819 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 117.0 )( 9.5 - 3.91 )1.0 = 1309.027 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(117.0,207.3,100.0)) • (80.0 - 12.7) • 1.0 ) = 15459.202 mm² Includes Bevel Area of 1999.203 mm² Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle Neck to Flange Weld, Curve: B Govrn. thk, tg = 12.7, tr = 3.906, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.411, Temp. Reduction = 48 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) -21 °C -48 °C Nozzle-Shell/Head Weld (UCS-66(a)1(b)), min( Curve:B, Curve:D) LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N7-14'' Nozl: 25 2:42pm Page 136 of 165 Feb 9,2024 Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 17 °C 15 °C Gov. MDMT of the nozzle to shell joint welded assembly : 15 °C Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -29 °C -48 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.06/5.11 = 0.598 Weld Size Calculations, Description: N7-14'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 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, (15145.0605 - 607.8192 + 2 • 76.8 • 1.0 • (1.0 • 46.8 - 44.9942 ) )138) = 2042760.38 N For hub type nozzles, A2 includes the area of the hub. Note: F is always set to 1.0 throughout the calculation. Weld Load [W1]: = (A2+A4-(Wi-Can/.707)²•fr2)•Sv = ( 16768.2285 + 100.0 - 0.0 • 1.0 ) • 138 = 2325931.00 N Weld Load [W2]: = (A2 + A3 + A4 + (2 • tn • t • fr1)) • Sv = ( 16768.2285 + 0.0 + 100.0 + ( 7188.48 ) ) • 138 = 3317138.00 N Weld Load [W3]: = (A2+A3+A4+A5+(2•tn•t•fr1))•S = ( 16768.2285 + 0.0 + 100.0 + 0.0 + ( 7188.48 ) ) • 138 = 3317138.00 N Strength of Connection Elements for Failure Path Analysis Shear, Outward Nozzle Weld [Sonw]: = (π/2) • Dlo • Wo • 0.49 • Snw = ( 3.1416/2.0 ) • 355.6 • 10.0 • 0.49 • 138 = 377403. N LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N7-14'' Nozl: 25 2:42pm Page 137 of 165 Feb 9,2024 Shear, Nozzle Wall [Snw]: = (π •( Dlr + Dlo )/4 ) • ( Thk - Can ) • 0.7 • Sn = (3.1416 • 173.05) • ( 80.0 - 3.2 ) • 0.7 • 138 = 4030028. N Tension, Shell Groove Weld [Tngw]: = (π/2) • Dlo • ( T - cas ) • 0.74 • Sng = ( 3.1416/2.0 ) • 355.6 • ( 50.0 - 3.2 ) • 0.74 • 138 = 2667390. N See UG-41 and UW-15 for clarification of allowable stresses. Strength of Failure Paths: Failure Path [Path 1-1]: = ( SONW + SNW ) = ( 377403 + 4030028 ) = 4407431 N Failure Path [Path 2-2]: = ( Sonw + Tpgw + Tngw + Sinw ) = ( 377403 + 0 + 2667390 + 0 ) = 3044793 N Failure Path [Path 3-3]: = ( Sonw + Tngw + Sinw ) = ( 377403 + 2667390 + 0 ) = 3044793 N Summary of Failure Path Calculations: Path 1-1 = 4407430 N , must exceed W = 2042760 N Path 2-2 = 3044792 N , must exceed W = 2042760 N Path 3-3 = 3044792 N , must exceed W = 2042760 N or W1 = 2325931 N or W2 = 3317138 N or W3 = 3317138 N Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa Note: The MAWP of this junction was limited by the parent Shell/Head. The Drop for this Nozzle is : 7.9189 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 265.1710 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N3-20'' Nozl: 26 2:42pm Input, Nozzle Desc: N3-20'' Page 138 of 165 Feb 9,2024 From: 50 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0562 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-516 70 137.90 137.90 MPa MPa Inside Diameter of Cylindrical Shell Shell Finished (Minimum) Thickness Shell Internal Corrosion Allowance Shell External Corrosion Allowance D t c co 4000.00 50.0000 3.2000 0.0000 mm mm mm mm 8350.00 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Outside 0.00 20.0000 deg in. tn Actual 12.7000 mm h L' ( tn or x+tp ) 110.0000 87.3000 100.0000 mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 400.0000 10.0000 50.0000 0.0000 0.0000 UW-16.1(q) mm mm mm mm mm Distance from Bottom/Left Tangent User Entered Minimum Design Metal Temperature Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck The Pressure Design option was MAWP + static head (bottom of element). Reinforcement CALCULATION, Description: N3-20'' ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Outside Diameter Used in Calculation 20.000 in. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N3-20'' Nozl: 26 2:42pm Actual Thickness Used in Calculation Page 139 of 165 Feb 9,2024 0.500 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) = 3.06•2003.2/(138•1.0-0.6•3.06) = 44.9942 mm Reqd thk per UG-37(a) of Nozzle Wall, trn [Int. Press] = P•Ro/(Sn•E+0.4•P) per Appendix 1-1 (a)(1) = 3.06•254.0/(138•1.0+0.4•3.06) = 5.5798 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 87.3/0.5773 = 151.2081 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall, opening length d Normal to Vessel Wall (Thickness Limit), no pad Tlnp 978.0000 489.0000 117.0000 Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 Area Required Ar Area in Shell A1 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 Area in Element A5 Area in Hub + Bevel A6 MAWP External Mapnc 22002.184 883.017 917.324 0.000 100.000 0.000 20379.211 NA NA NA NA NA NA NA NA NA NA NA NA NA NA mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N3-20'' Nozl: 26 2:42pm Page 140 of 165 Feb 9,2024 TOTAL AREA AVAILABLE NA Atot 22279.551 NA The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 degs. The area available without a pad is Sufficient. Area Required [A]: = ( d • tr•F + 2 • tn • tr•F • (1-fr1) ) UG-37(c) = (489.0•44.9942•1.0+2•96.8•44.9942•1.0•(1-1.0)) = 22002.184 mm² 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 ) = 489.0( 1.0 • 46.8 - 1.0 • 44.994 ) - 2 • 96.8 ( 1.0 • 46.8 - 1.0 • 44.9942 ) • ( 1 - 1.0 ) = 883.017 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 117.0 )( 9.5 - 5.58 )1.0 = 917.324 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(117.0,400.0,110.0)) • (100.0 - 12.7) • 1.0 ) = 20379.211 mm² Includes Bevel Area of 1173.211 mm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 8.7798 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 48.1942 mm Wall Thickness tb1 = max(trb1, tr16b) = 48.1942 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 11.5312 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 11.531, max( 48.1942, 4.7 ) ] = 11.5312 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 8.7798, 11.5312 ) = 11.5312 mm Available Nozzle Neck Thickness = 12.7000 mm🠖OK Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N3-20'' Nozl: 26 2:42pm Page 141 of 165 Feb 9,2024 Nozzle-Shell/Head Weld (UCS-66(a)1(b)), min( Curve:B, Curve:D) Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 17 °C 15 °C Gov. MDMT of the nozzle to shell joint welded assembly : 15 °C Weld Size Calculations, Description: N3-20'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 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, (22002.1836 - 883.0173 + 2 • 96.8 • 1.0 • (1.0 • 46.8 - 44.9942 ) )138) = 2960290.50 N For hub type nozzles, A2 includes the area of the hub. Note: F is always set to 1.0 throughout the calculation. Weld Load [W1]: = (A2+A4-(Wi-Can/.707)²•fr2)•Sv = ( 21296.5352 + 100.0 - 0.0 • 1.0 ) • 138 = 2950331.25 N Weld Load [W2]: = (A2 + A3 + A4 + (2 • tn • t • fr1)) • Sv = ( 21296.5352 + 0.0 + 100.0 + ( 9060.4805 ) ) • 138 = 4199665.00 N Weld Load [W3]: = (A2+A3+A4+A5+(2•tn•t•fr1))•S = ( 21296.5352 + 0.0 + 100.0 + 0.0 + ( 9060.4805 ) ) • 138 = 4199665.00 N Strength of Connection Elements for Failure Path Analysis Shear, Outward Nozzle Weld [Sonw]: = (π/2) • Dlo • Wo • 0.49 • Snw = ( 3.1416/2.0 ) • 508.0 • 10.0 • 0.49 • 138 = 539147. N Shear, Nozzle Wall [Snw]: = (π •( Dlr + Dlo )/4 ) • ( Thk - Can ) • 0.7 • Sn = (3.1416 • 249.25) • ( 100.0 - 3.2 ) • 0.7 • 138 = 7316202. N LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N3-20'' Nozl: 26 2:42pm Page 142 of 165 Feb 9,2024 Tension, Shell Groove Weld [Tngw]: = (π/2) • Dlo • ( T - cas ) • 0.74 • Sng = ( 3.1416/2.0 ) • 508.0 • ( 50.0 - 3.2 ) • 0.74 • 138 = 3810557. N See UG-41 and UW-15 for clarification of allowable stresses. Strength of Failure Paths: Failure Path [Path 1-1]: = ( SONW + SNW ) = ( 539147 + 7316203 ) = 7855349 N Failure Path [Path 2-2]: = ( Sonw + Tpgw + Tngw + Sinw ) = ( 539147 + 0 + 3810557 + 0 ) = 4349704 N Failure Path [Path 3-3]: = ( Sonw + Tngw + Sinw ) = ( 539147 + 3810557 + 0 ) = 4349704 N Summary of Failure Path Calculations: Path 1-1 = 7855349 N , must exceed W = 2960290 N Path 2-2 = 4349704 N , must exceed W = 2960290 N Path 3-3 = 4349704 N , must exceed W = 2960290 N or W1 = 2950331 N or W2 = 4199665 N or W3 = 4199665 N Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa The Drop for this Nozzle is : 16.1946 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 466.1946 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N4-3'' Nozl: 27 2:42pm Input, Nozzle Desc: N4-3'' Page 143 of 165 Feb 9,2024 From: 50 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0562 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-516 70 137.90 137.90 MPa MPa Inside Diameter of Cylindrical Shell Shell Finished (Minimum) Thickness Shell Internal Corrosion Allowance Shell External Corrosion Allowance D t c co 4000.00 50.0000 3.2000 0.0000 mm mm mm mm 9150.00 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Inside 0.00 2.9000 deg in. Actual 17.1450 mm Distance from Bottom/Left Tangent User Entered Minimum Design Metal Temperature Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness tn Flange Material [Normalized] Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle SA-105 h L' ( tn or x+tp ) 50.0000 32.8550 50.0000 mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 250.0000 10.0000 50.0000 0.0000 0.0000 UW-16.1(g) mm mm mm mm mm Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck Flange Class Flange Grade 300 GR 1.1 The Pressure Design option was MAWP + static head (bottom of element). Reinforcement CALCULATION, Description: N4-3'' LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N4-3'' Nozl: 27 2:42pm Page 144 of 165 Feb 9,2024 ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Inside Diameter Used in Calculation Actual Thickness Used in Calculation 2.900 0.675 in. 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) = 3.06•2003.2/(138•1.0-0.6•3.06) = 44.9942 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) = 3.06•40.03/(138•1.0-0.6•3.06) = 0.8991 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 32.855/0.5773 = 56.9066 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall Rn+tn+t Normal to Vessel Wall (Thickness Limit), no pad Tlnp 201.5500 100.7750 91.7691 Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 Area Required Area in Shell Area in Nozzle Wall Area in Inward Nozzle Ar A1 A2 A3 MAWP External Mapnc 3602.239 219.382 2394.416 0.000 NA NA NA NA NA NA NA NA mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N4-3'' Nozl: 27 2:42pm Page 145 of 165 Feb 9,2024 Area in Welds Area in Element Area in Hub A41+A42+A43 A5 A6 TOTAL AREA AVAILABLE Atot 100.000 0.000 4364.951 NA NA NA NA NA NA 7078.749 NA NA The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 degs. The area available without a pad is Sufficient. Area Required [A]: = ( d • tr•F + 2 • tn • tr•F • (1-fr1) ) UG-37(c) = (80.06•44.9942•1.0+2•46.8•44.9942•1.0•(1-1.0)) = 3602.239 mm² 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 ) = 121.49( 1.0 • 46.8 - 1.0 • 44.994 ) - 2 • 46.8 ( 1.0 • 46.8 - 1.0 • 44.9942 ) • ( 1 - 1.0 ) = 219.382 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 91.77 )( 13.94 - 0.9 )1.0 = 2394.416 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(91.8,250.0,50.0)) • (50.0 - 17.1) • 1.0 ) = 4364.951 mm² Includes Bevel Area of 1079.451 mm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 4.0991 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 48.1942 mm Wall Thickness tb1 = max(trb1, tr16b) = 48.1942 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 8.4578 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 8.458, max( 48.1942, 4.7 ) ] = 8.4578 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 4.0991, 8.4578 ) = 8.4578 mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N4-3'' Nozl: 27 2:42pm Page 146 of 165 Feb 9,2024 Available Nozzle Neck Thickness = 17.1450 mm🠖OK Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle-Shell/Head Weld (UCS-66(a)1(b)), min( Curve:B, Curve:D) Govrn. thk, tg = 50.0, tr = 44.994, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.961, Temp. Reduction = 2 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 17 °C 15 °C Gov. MDMT of the nozzle to shell joint welded assembly : 15 °C Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -29 °C -48 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.06/5.11 = 0.598 Weld Size Calculations, Description: N4-3'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 7.0700 = 0.7 * Wo mm Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa Note: The MAWP of this junction was limited by the parent Shell/Head. The Drop for this Nozzle is : 1.8857 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 301.8858 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Input, Nozzle Desc: N1-8'' Page 147 of 165 Feb 9,2024 From: 60 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0562 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-516 70 137.90 137.90 MPa MPa Inside Diameter of Elliptical Head Aspect Ratio of Elliptical Head Head Finished (Minimum) Thickness Head Internal Corrosion Allowance Head External Corrosion Allowance D Ar t c co 4000.00 2.00 47.6000 3.2000 0.0000 mm Distance from Head Centerline L1 1000.0000 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Outside 0.00 8.0000 deg in. Actual 12.7000 mm User Entered Minimum Design Metal Temperature mm mm mm Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness tn Flange Material Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle SA-105 h L' ( tn or x+tp ) 100.0000 37.3000 50.0000 mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 188.7480 10.0000 47.6000 0.0000 0.0000 UW-16.1(g) mm mm mm mm mm Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck Flange Class Flange Grade 300 GR 1.1 The Pressure Design option was MAWP + static head (bottom of element). LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Page 148 of 165 Feb 9,2024 Note : Checking Nozzle in the Meridional direction. Reinforcement CALCULATION, Description: N1-8'' ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Outside Diameter Used in Calculation Actual Thickness Used in Calculation 8.000 0.500 in. in. Note: Post Weld Heat Treatment is required for this nozzle and it was specified as being heat treated. Nozzle input data check completed without errors. Reqd thk per UG-37(a) of Elliptical Head, tr [Int. Press] = P•D•K1/(2•Sv•E-0.2•P) per Appendix 1-4(c) = 3.06•4006.4•0.8986/(2•137.9•1.0-0.2•3.06) = 39.9841 mm Reqd thk per UG-37(a) of Nozzle Wall, trn [Int. Press] = P•Ro/(Sn•E+0.4•P) per Appendix 1-1 (a)(1) = 3.06•101.6/(138•1.0+0.4•3.06) = 2.2319 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 37.3/0.5773 = 64.6055 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall, opening length d Normal to Vessel Wall (Thickness Limit), no pad Tlnp Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) 383.5323 191.7661 88.3555 mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm AREA AVAILABLE, A1 to A5 Page 149 of 165 Feb 9,2024 MAWP External Mapnc Area Required Ar Area in Shell A1 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 Area in Element A5 Area in Hub A6 7667.590 846.827 1323.052 0.000 100.000 0.000 6591.321 NA NA NA NA NA NA NA NA NA NA NA NA NA NA TOTAL AREA AVAILABLE 8861.200 NA NA Atot The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 73.85 degs. The area available without a pad is Sufficient. Area Required [A]: = ( d • tr•F + 2 • tn • tr•F • (1-fr1) ) UG-37(c) = (191.7661•39.9841•1.0+2•46.8•39.9841•1.0•(1-1.0)) = 7667.590 mm² 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 ) = 191.766( 1.0 • 44.4 - 1.0 • 39.984 ) - 2 • 46.8 ( 1.0 • 44.4 - 1.0 • 39.9841 ) • ( 1 - 1.0 ) = 846.827 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2/sin( α3 ) = ( 2 • 88.36 )( 9.5 - 2.23 )1.0/sin( 76.1 ) = 1323.052 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(88.4,188.7,100.0)) • (50.0 - 12.7) • 1.0 ) = 6591.321 mm² Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle Neck to Flange Weld, Curve: B Govrn. thk, tg = 12.7, tr = 2.232, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.235, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve B -21 °C LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Page 150 of 165 Feb 9,2024 Min Metal Temp. at Required thickness (UCS 66.1) -104 °C Nozzle-Shell/Head Weld (UCS-66(a)1(b)), min( Curve:B, Curve:D) Govrn. thk, tg = 47.6, tr = 39.984, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.901, Temp. Reduction = 6 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 16 °C 10 °C Gov. MDMT of the nozzle to shell joint welded assembly : 10 °C Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -29 °C -48 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.06/5.11 = 0.598 Weld Size Calculations, Description: N1-8'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 7.0700 = 0.7 * Wo mm Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa Note: The MAWP of this junction was limited by the parent Shell/Head. Note : Checking Nozzle in the Latitudinal direction. Reinforcement CALCULATION, Description: N1-8'' ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Outside Diameter Used in Calculation Actual Thickness Used in Calculation Nozzle input data check completed without errors. Reqd thk per UG-37(a) of Elliptical Head, tr [Int. Press] = P•D•K1/(2•Sv•E-0.2•P) per Appendix 1-4(c) = 3.06•4006.4•0.8986/(2•137.9•1.0-0.2•3.06) = 39.9841 mm Reqd thk per UG-37(a) of Nozzle Wall, trn [Int. Press] = P•Ro/(Sn•E+0.4•P) per Appendix 1-1 (a)(1) = 3.06•101.6/(138•1.0+0.4•3.06) = 2.2319 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): 8.000 0.500 in. in. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Page 151 of 165 Feb 9,2024 Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 37.3/0.5773 = 64.6055 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall, opening length d Normal to Vessel Wall (Thickness Limit), no pad Tlnp 368.4000 184.2000 88.3555 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 MAWP External Mapnc Area Required Ar Area in Shell A1 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 Area in Element A5 Area in Hub A6 7365.065 813.415 1284.349 0.000 100.000 0.000 6591.321 NA NA NA NA NA NA NA NA NA NA NA NA NA NA TOTAL AREA AVAILABLE 8789.085 NA NA Atot The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 The area available without a pad is Sufficient. Area Required [A]: = ( d • tr•F + 2 • tn • tr•F • (1-fr1) ) UG-37(c) = (184.2•39.9841•1.0+2•46.8•39.9841•1.0•(1-1.0)) = 7365.065 mm² 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 ) = 184.2( 1.0 • 44.4 - 1.0 • 39.984 ) - 2 • 46.8 ( 1.0 • 44.4 - 1.0 • 39.9841 ) • ( 1 - 1.0 ) = 813.415 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 88.36 )( 9.5 - 2.23 )1.0 = 1284.349 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: degs. mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Page 152 of 165 Feb 9,2024 = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(88.4,188.7,100.0)) • (50.0 - 12.7) • 1.0 ) = 6591.321 mm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 5.4319 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 47.6000 mm Wall Thickness tb1 = max(trb1, tr16b) = 47.6000 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 10.3600 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 10.36, max( 47.6, 4.7 ) ] = 10.3600 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 5.4319, 10.36 ) = 10.3600 mm Available Nozzle Neck Thickness = 12.7000 mm🠖OK Stresses on Nozzle due to External and Pressure Loads per the ASME B31.3 Piping Code, (see 319.4.4 and 302.3.5): Sustained : Expansion : Occasional : Shear : 45.9, 0.0, 14.1, 21.9, Allowable : Allowable : Allowable : Allowable : 137.9 MPa 298.8 MPa 183.4 MPa 96.5 MPa Passed Passed Passed Passed The number of cycles on this nozzle was assumed to be 7000 or less for the determination of the expansion stress allowable. Weld Size Calculations, Description: N1-8'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 7.0700 = 0.7 * Wo mm Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 3 MPa Note: The MAWP of this junction was limited by the parent Shell/Head. The Drop for this Nozzle is : 30.6555 mm The Cut Length for this Nozzle is, Drop + Ho + H + T : 268.8842 mm Warning: The equations for nozzle local stress analysis pertain to radial nozzles only and this nozzle is not specified as radial. Please check the specific analysis code for all assumptions and limitations. Input Echo, WRC107/537 Item 1, Description: N1-8'' : LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Diameter Basis for Vessel Cylindrical or Spherical Vessel Internal Corrosion Allowance Vessel Diameter Vessel Thickness Design Temperature Vessel Material Vessel UNS Number Vessel Cold S.I. Allowable Vessel Hot S.I. Allowable Vbasis Cylsph Cas Dv Tv T1 Smc Smh Page 153 of 165 Feb 9,2024 ID Spherical 3.2000 mm 7200.000 mm 47.600 mm 110.0 SA-516 70 K02700 137.90 137.90 C MPa MPa Using 2 * Yield for Discontinuity Stress Allowable (Div 2, 4.1.6.3), Sps. Make sure that material properties at this temperature are not time-dependent for Material: SA-516 70 Attachment Type WRC107 Attachment Classification Type Holsol Round Hollow Diameter Basis for Nozzle Corrosion Allowance for Nozzle Nozzle Diameter Nozzle Thickness Nozzle Material Nozzle UNS Number Nozzle Cold S.I. Allowable Nozzle Hot S.I. Allowable Nbasis Can Dn Tn OD 3.2000 277.800 50.000 SA-105 K03504 137.90 137.90 Design Internal Pressure Include Pressure Thrust SNmc SNmh Dp 3.056 No External Forces and Moments in WRC 107/537 Convention: Radial Load (SUS) P -5940.0 Longitudinal Shear (SUS) (Vl) V1 8800.0 Circumferential Shear (SUS) (Vc) V2 8800.0 Circumferential Moment (SUS) (Mc) M1 5279995.0 Longitudinal Moment (SUS) (Ml) M2 7039997.5 Torsional Moment (SUS) Mt 8800001.0 Use Interactive Control WRC107 Version Version Include Pressure Stress Indices per Div. 2 Compute Pressure Stress per WRC-368 Local Loads applied at end of Nozzle/Attachment No March mm mm mm MPa MPa MPa N N N N-mm N-mm N-mm 1979 No No No WRC Bulletin 537 provides equations for the dimensionless curves found in bulletin 107. As noted in the foreword to bulletin 537, "537 is equivalent to WRC 107". Where 107 is printed in the results below, "537" can be interchanged with "107". LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Page 154 of 165 Feb 9,2024 WRC 107/537 has dimensional limitations that can be found in the bulletin's Foreword and which can also be inferred by review of the non-dimensional curve limits. Stress Attenuation Diameter (for Insert Plates) per WRC 297: = NozzleOD + 2 • 1.65 • ( Rmean( t - ca ) ) = 277.8 + 2 • 1.65 • ( 3625.4 ( 47.6 - 3.2 ) ) = 1601.786 mm WRC 107 Stress Calculation for SUStained loads: Radial Load Circumferential Shear Longitudinal Shear Circumferential Moment Longitudinal Moment Torsional Moment Dimensionless Param: U = P V2 V1 M1 M2 MT -5940.0 8800.0 8800.0 5279995.0 7039997.5 8800001.0 N N N N-mm N-mm N-mm 5.00 ( 2.47) RHO = 0.95 (VC) (VL) (MC) (ML) 0.35 TAU = Dimensionless Loads for Spherical Shells at Attachment Junction: Curves read for 1979 Figure Value Location N(x) * T / P M(x) / P N(x) * T * SQRT(Rm * T ) / MC M(x) * SQRT(Rm * T ) / MC N(x) * T * SQRT(Rm * T ) / ML M(x) * SQRT(Rm * T ) / ML SP 1 SP 1 SM 1 SM 1 SM 1 SM 1 0.09376 0.12210 0.19383 0.37147 0.19383 0.37147 (A,B,C,D) (A,B,C,D) (A,B,C,D) (A,B,C,D) (A,B,C,D) (A,B,C,D) N(y) * T / P M(y) / P N(y) * T * SQRT(Rm * T ) / MC M(y) * SQRT(Rm * T ) / MC N(y) * T * SQRT(Rm * T ) / ML M(y) * SQRT(Rm * T ) / ML SP 1 SP 1 SM 1 SM 1 SM 1 SM 1 0.16263 0.04669 0.04800 0.16266 0.04800 0.16266 (A,B,C,D) (A,B,C,D) (A,B,C,D) (A,B,C,D) (A,B,C,D) (A,B,C,D) Stress Concentration Factors: Kn = 1.00, Kb = 1.00 Stresses in the Vessel at the Attachment Junction (MPa) LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Page 155 of 165 Feb 9,2024 Stress Intensity Values at Type of Stress Load Au Al Bu Bl Cu Cl Du Dl Memb. P Bend. P Memb. MC Memb. MC Memb. ML Bend. ML 0.3 2.2 0.0 0.0 -1.7 -19.8 0.3 -2.2 0.0 0.0 -1.7 19.8 0.3 2.2 0.0 0.0 1.7 19.8 0.3 -2.2 0.0 0.0 1.7 -19.8 0.3 2.2 -1.3 -14.9 0.0 0.0 0.3 -2.2 -1.3 14.9 0.0 0.0 0.3 2.2 1.3 14.9 0.0 0.0 0.3 -2.2 1.3 -14.9 0.0 0.0 Str. -19.1 16.2 24.0 -20.0 -13.7 11.7 18.7 -15.5 Tang. Memb. P Tang. Bend. P Tang. Memb. MC Tang. Bend. MC Tang. Memb. ML Tang. Bend. ML 0.5 0.8 0.0 0.0 -0.4 -8.7 0.5 -0.8 0.0 0.0 -0.4 8.7 0.5 0.8 0.0 0.0 0.4 8.7 0.5 -0.8 0.0 0.0 0.4 -8.7 0.5 0.8 -0.3 -6.5 0.0 0.0 0.5 -0.8 -0.3 6.5 0.0 0.0 0.5 0.8 0.3 6.5 0.0 0.0 0.5 -0.8 0.3 -6.5 0.0 0.0 Tot. Tang. Str. -7.8 7.9 10.4 -8.6 -5.5 5.8 8.2 -6.5 Shear VC Shear VL Shear MT 0.5 0.0 1.6 0.5 0.0 1.6 -0.5 0.0 1.6 -0.5 0.0 1.6 0.0 -0.5 1.6 0.0 -0.5 1.6 0.0 0.5 1.6 0.0 0.5 1.6 Tot. Shear 2.1 2.1 1.2 1.2 1.2 1.2 2.1 2.1 Str. Int. 19.4 16.7 24.1 20.2 13.8 11.9 19.1 16.0 Rad. Rad. Rad. Rad. Rad. Rad. Tot. Rad. WRC 107/537 Stress Summations: Vessel Stress Summation at Attachment Junction (MPa) Stress Intensity Values at Type of Stress Load Au Al Bu Bl Cu Cl Du Dl Pm (SUS) Pl (SUS) Q (SUS) 124.0 -1.4 -17.6 124.0 -1.4 17.6 124.0 2.0 22.0 124.0 2.0 -22.0 124.0 -1.0 -12.7 124.0 -1.0 12.7 124.0 1.6 17.1 124.0 1.6 -17.1 Long. Pm (SUS) Long. Pl (SUS) Long. Q (SUS) 124.0 0.1 -7.8 124.0 0.1 7.8 124.0 0.9 9.5 124.0 0.9 -9.5 124.0 0.2 -5.7 124.0 0.2 5.7 124.0 0.8 7.4 124.0 0.8 -7.4 Shear Pm (SUS) Shear Pl (SUS) Shear Q (SUS) Pm (SUS) 0.0 0.5 1.6 124.0 0.0 0.5 1.6 124.0 0.0 -0.5 1.6 124.0 0.0 -0.5 1.6 124.0 0.0 -0.5 1.6 124.0 0.0 -0.5 1.6 124.0 0.0 0.5 1.6 124.0 0.0 0.5 1.6 124.0 Pm+Pl (SUS) 124.2 124.2 126.2 126.2 124.3 124.3 125.8 125.8 Pm+Pl+Q (Total) 116.6 140.7 148.2 115.5 118.7 135.9 143.1 117.9 Rad. Rad. Rad. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N1-8'' Nozl: 28 2:42pm Page 156 of 165 Feb 9,2024 Vessel Stress Summation Comparison (MPa): Type of Stress Int. Pm (SUS) Pm+Pl (SUS) Pm+Pl+Q (TOTAL) Max. S.I. S.I. Allowable Result 124.02 126.20 148.17 137.90 206.85 413.70 Passed Passed Passed Because only sustained loads were specified, the Pm+Pl+Q allowable was 3 * Smh. PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N9-4'' Nozl: 29 2:42pm Input, Nozzle Desc: N9-4'' Page 157 of 165 Feb 9,2024 From: 80 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0366 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-105 137.90 137.90 MPa MPa Outside Diameter of Bolted Blind Flange Head Finished (Minimum) Thickness Head Internal Corrosion Allowance Head External Corrosion Allowance D t c co 774.70 80.0000 3.2000 0.0000 mm mm mm mm Distance from Head Centerline L1 0.0000 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Outside 0.00 4.0000 deg in. Actual 11.1300 mm User Entered Minimum Design Metal Temperature Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness tn Flange Material Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle SA-105 h L' ( tn or x+tp ) 50.0000 48.8700 60.0000 mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 250.0000 10.0000 80.0000 0.0000 0.0000 UW-16.1(g) mm mm mm mm mm Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck Flange Class Flange Grade 300 GR 1.1 The Pressure Design option was MAWP + static head (bottom of element). Reinforcement CALCULATION, Description: N9-4'' LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N9-4'' Nozl: 29 2:42pm Page 158 of 165 Feb 9,2024 ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Outside Diameter Used in Calculation Actual Thickness Used in Calculation 4.000 0.438 in. in. Note: Post Weld Heat Treatment is required for this nozzle and it was not specified as being heat treated. Nozzle input data check completed without errors. Reqd thk per UG-37(a) of Nozzle Wall, trn [Int. Press] = P•Ro/(Sn•E+0.4•P) per Appendix 1-1 (a)(1) = 3.04•50.8/(138•1.0+0.4•3.04) = 1.1089 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 48.87/0.5773 = 84.6453 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall Rn+tn+t Normal to Vessel Wall (Thickness Limit), no pad Tlnp 255.2000 127.6000 104.4703 Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 Area Required Ar Area in Shell A1 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 MAWP External Mapnc 3096.826 773.141 1425.215 0.000 100.000 2489.524 3173.735 1656.900 0.000 100.000 NA NA NA NA NA mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N9-4'' Nozl: 29 2:42pm Page 159 of 165 Feb 9,2024 Area in Element Area in Hub TOTAL AREA AVAILABLE A5 A6 0.000 7275.276 0.000 7275.276 NA NA Atot 9573.632 12205.911 NA The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 degs. The area available without a pad is Sufficient. Area Required [A]: = 0.5 • d • t + t • tn(1-fr1) per UG-39(b)(1) = 0.5•85.74•72.2376+72.2376•56.8(1-1.0) = 3096.826 mm² 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 ) = 169.46( 1.0 • 76.8 - 1.0 • 72.238 ) - 2 • 56.8 ( 1.0 • 76.8 - 1.0 • 72.2376 ) • ( 1 - 1.0 ) = 773.141 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 104.47 )( 7.93 - 1.11 )1.0 = 1425.215 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(104.5,250.0,50.0)) • (60.0 - 11.1) • 1.0 ) = 7275.276 mm² Includes Bevel Area of 2388.276 mm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 4.3089 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 75.4376 mm Wall Thickness tb1 = max(trb1, tr16b) = 75.4376 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 8.2200 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 8.22, max( 75.4376, 4.7 ) ] = 8.2200 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 4.3089, 8.22 ) = 8.2200 mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N9-4'' Nozl: 29 2:42pm Page 160 of 165 Feb 9,2024 Available Nozzle Neck Thickness = 11.1300 mm🠖OK Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle Neck to Flange Weld, Curve: B Govrn. thk, tg = 11.13, tr = 1.109, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.14, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) -25 °C -104 °C Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: B Govrn. thk, tg = 60.0, tr = 1.109, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.02, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 21 °C -104 °C Gov. MDMT of the nozzle to shell joint welded assembly : -104 °C Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -18 °C -41 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.04/5.11 = 0.594 Weld Size Calculations, Description: N9-4'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 7.0700 = 0.7 * Wo mm Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 4 MPa Note: The MAWP of this junction was limited by the parent Shell/Head. The Cut Length for this Nozzle is, Drop + Ho + H + T : 330.0508 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N10-4'' Nozl: 30 2:43pm Input, Nozzle Desc: N10-4'' Page 161 of 165 Feb 9,2024 From: 100 Pressure for Reinforcement Calculations Temperature for Internal Pressure P Temp 3.0366 110 MPa °C Parent Material [Normalized] Parent Allowable Stress at Temperature Parent Allowable Stress At Ambient Sv Sva SA-105 137.90 137.90 MPa MPa Outside Diameter of Bolted Blind Flange Head Finished (Minimum) Thickness Head Internal Corrosion Allowance Head External Corrosion Allowance D t c co 774.70 80.0000 3.2000 0.0000 mm mm mm mm Distance from Head Centerline L1 0.0000 mm -5.00 °C SA-105 K03504 Forgings 137.90 137.90 MPa MPa Outside 0.00 4.0000 deg in. Actual 11.1300 mm User Entered Minimum Design Metal Temperature Type of Element Connected to the Parent : Nozzle Material [Normalized] Material UNS Number Material Specification/Type Allowable Stress at Temperature Allowable Stress At Ambient Sn Sna Diameter Basis (for tr calc only) Layout Angle Diameter Size and Thickness Basis Actual Thickness tn Flange Material Hub Height of Integral Nozzle Height of Beveled Transition Hub Thickness of Integral Nozzle SA-105 h L' ( tn or x+tp ) 50.0000 48.8700 60.0000 mm mm mm can E1 En 3.2000 1.00 1.00 mm Outside Projection ho Weld leg size between Nozzle and Pad/Shell Wo Groove weld depth between Nozzle and Vessel Wgnv Inside Projection h Weld leg size, Inside Element to Shell Wi ASME Code Weld Type 250.0000 10.0000 80.0000 0.0000 0.0000 UW-16.1(g) mm mm mm mm mm Corrosion Allowance Joint Efficiency of Shell Seam at Nozzle Joint Efficiency of Nozzle Neck Flange Class Flange Grade 300 GR 1.1 The Pressure Design option was MAWP + static head (bottom of element). Reinforcement CALCULATION, Description: N10-4'' LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N10-4'' Nozl: 30 2:43pm Page 162 of 165 Feb 9,2024 ASME Code, Section VIII, Div. 1, 2021, UG-37 to UG-45 Actual Outside Diameter Used in Calculation Actual Thickness Used in Calculation 4.000 0.438 in. in. Note: Post Weld Heat Treatment is required for this nozzle and it was not specified as being heat treated. Nozzle input data check completed without errors. Reqd thk per UG-37(a) of Nozzle Wall, trn [Int. Press] = P•Ro/(Sn•E+0.4•P) per Appendix 1-1 (a)(1) = 3.04•50.8/(138•1.0+0.4•3.04) = 1.1089 mm Intermediate Hub Nozzle Calculations: Check to determine use of Sketch (e-1) or (e-2): Height value from sketch (e-1) [te]: = ( Hub Thickness - Neck Thickness ) / tan(30) = 48.87/0.5773 = 84.6453 mm Hub Height was < 2.5 times Hub Thickness, use sketch UG-40 (e-1). UG-40, Limits of Reinforcement: [Internal Pressure] Parallel to Vessel Wall (Diameter Limit) Dl Parallel to Vessel Wall Rn+tn+t Normal to Vessel Wall (Thickness Limit), no pad Tlnp 255.2000 127.6000 104.4703 Weld Strength Reduction Factor [fr1]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr2]: = min( 1, Sn/Sv ) = min( 1, 137.9/137.9 ) = 1.000 Weld Strength Reduction Factor [fr3]: = min( fr2, fr4 ) = min( 1.0, 1.0 ) = 1.000 Results of Nozzle Reinforcement Area Calculations: (mm²) AREA AVAILABLE, A1 to A5 Area Required Ar Area in Shell A1 Area in Nozzle Wall A2 Area in Inward Nozzle A3 Area in Welds A41+A42+A43 MAWP External Mapnc 3292.416 0.000 1425.215 0.000 100.000 3155.232 542.272 1656.900 0.000 100.000 NA NA NA NA NA mm mm mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N10-4'' Nozl: 30 2:43pm Page 163 of 165 Feb 9,2024 Area in Element Area in Hub TOTAL AREA AVAILABLE A5 A6 0.000 7275.276 0.000 7275.276 NA NA Atot 8800.491 9574.447 NA The MAWP Case Governs the Analysis. Nozzle Angle Used in Area Calculations 90.00 degs. The area available without a pad is Sufficient. Area Required [A]: = 0.5 • d • t + t • tn(1-fr1) per UG-39(b)(1) = 0.5•85.74•76.8+76.8•56.8(1-1.0) = 3292.416 mm² 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 ) = 169.46( 1.0 • 76.8 - 1.0 • 76.8 ) - 2 • 56.8 ( 1.0 • 76.8 - 1.0 • 76.8 ) • ( 1 - 1.0 ) = 0.000 mm² Area Available in Nozzle Projecting Outward [A2]: = ( 2 • tlnp )( tn - trn )fr2 = ( 2 • 104.47 )( 7.93 - 1.11 )1.0 = 1425.215 mm² 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 = 100.000 mm² Area Available in the Hub Section [A6]: = ( 2 • min(Tlnp,ho,Hubht)) • (Hubtk - tn) • fr2 = ( 2 • min(104.5,250.0,50.0)) • (60.0 - 11.1) • 1.0 ) = 7275.276 mm² Includes Bevel Area of 2388.276 mm² UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.] Wall Thickness for Internal/External pressures ta = 4.3089 mm Wall Thickness per UG16(b), tr16b = 4.7000 mm Wall Thickness, shell/head, internal pressure trb1 = 80.0000 mm Wall Thickness tb1 = max(trb1, tr16b) = 80.0000 mm Wall Thickness tb2 = max(trb2, tr16b) = 4.7000 mm Wall Thickness per table UG-45 tb3 = 8.2200 mm Determine Nozzle Thickness candidate [tb]: = min[ tb3, max( tb1,tb2) ] = min[ 8.22, max( 80.0, 4.7 ) ] = 8.2200 mm Minimum Wall Thickness of Nozzle Necks [tUG-45]: = max( ta, tb ) = max( 4.3089, 8.22 ) = 8.2200 mm LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Nozzle Calcs.: N10-4'' Nozl: 30 2:43pm Page 164 of 165 Feb 9,2024 Available Nozzle Neck Thickness = 11.1300 mm🠖OK Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations: Nozzle Neck to Flange Weld, Curve: B Govrn. thk, tg = 11.13, tr = 1.109, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.14, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) -25 °C -104 °C Nozzle-Shell/Head Weld (UCS-66(a)1(b)), Curve: B Govrn. thk, tg = 60.0, tr = 1.109, c = 3.2 mm, E✱ = 1.0 Thickness Ratio = tr * E✱/(tg - c) = 0.02, Temp. Reduction = 78 °C Min Metal Temp. w/o impact per UCS-66, Curve B Min Metal Temp. at Required thickness (UCS 66.1) 21 °C -104 °C Gov. MDMT of the nozzle to shell joint welded assembly : -104 °C Flange MDMT including Temperature reduction per UCS-66.1: Unadjusted MDMT of ASME B16.5/47 flanges per UCS-66(c) Flange MDMT with Temp reduction per UCS-66(b)(1)(-b) -18 °C -41 °C Where the Stress Reduction Ratio per UCS-66(b)(1)(-b) is : Design Pressure/Ambient Rating = 3.04/5.11 = 0.594 Weld Size Calculations, Description: N10-4'' Intermediate Calc. for nozzle/shell Welds Tmin 19.0000 mm Results Per UW-16.1: Nozzle Weld Required Thickness Actual Thickness 6.0000 = Min per Code 7.0700 = 0.7 * Wo mm Maximum Allowable Pressure for this Nozzle at this Location: Converged Maximum Allowable Pressure in the Operating case: 4 MPa Note: The MAWP of this junction was limited by the parent Shell/Head. The Cut Length for this Nozzle is, Drop + Ho + H + T : 330.0508 mm PV Elite is a trademark of Hexagon AB, 2023, All rights reserved. LCHS SAN VI COMPLEX PROJECT 1021D003 Condensate vessel PV Elite 25 SP2 Licensee: # FileName : 1021D003_Condensate vessel_7_per_margin Problems/Failures Summary: Step: 50 2:43pm Page 165 of 165 Feb 9,2024 Noted issues for the current model: Listed below are the known problem areas for the current design. If one or more of the design flags are turned on, please re-run the analysis. Some of these issues may be resolved when using updated input values. ** Warning: PWHT was required for at least 1 Nozzle/Pad in this vessel! Please review all reports carefully! PV Elite is a trademark of Hexagon AB, 2023, All rights reserved.