PV Elite® 2019 Project Data Page: PV Elite® 2019 Table of Contents Cover Page Title Page Warnings and Errors: Input Echo: XY Coordinate Calculations: Internal Pressure Calculations: External Pressure Calculations: Element and Detail Weights: Wind Load Calculation: Earthquake Load Calculation: Center of Gravity Calculation: Horizontal Vessel Analysis (Ope.) MDMT Summary: Vessel Design Summary: 1 2 3 4 7 8 10 11 12 13 15 16 28 29 Cover Page PV Elite® 2019 DESIGN CALCULATION In Accordance with ASME Section VIII Division 1 ASME Code Version : 2017 Analysis Performed by : SPLM Licensed User Job File : C:\USERS\MOON\DESKTOP\SADDLE DESIGN.Pvdb Date of Analysis : Oct 21,2019 PV Elite 2019, January 2019 4:33pm Title Page PV Elite® 2019 Note: 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 user's set of selected units. ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Warnings and Errors: Step: 0 PV Elite 2019 4:33pm Page 3 of 30 Oct 21,2019 Class From To : Basic Element Checks. ========================================================================== Class From To: Check of Additional Element Data ========================================================================== There were no geometry errors or warnings. PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Input Echo: Step: 1 PV Elite 2019 4:33pm Page 4 of 30 Oct 21,2019 PV Elite Vessel Analysis Program: Input Data Design Internal Pressure (for Hydrotest) Design Internal Temperature Type of Hydrotest Hydrotest Position 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 Perform a Corroded Hydrotest Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Load Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case Case 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Wind Design Code UBC Design Wind Speed UBC Exposure Constant UBC Importance Factor UBC Base Elevation UBC Percent Wind for Hydrotest Using User defined Wind Press. Damping Factor (Beta) for Wind Damping Factor (Beta) for Wind Damping Factor (Beta) for Wind 0.6895 93.3 not Specified Horizontal 0 0 0.0 Welded None RT-1 Y N N N N N N MPa °C mm mm °C NP+EW+WI+FW+BW NP+EW+EE+FS+BS NP+OW+WI+FW+BW NP+OW+EQ+FS+BS NP+HW+HI NP+HW+HE IP+OW+WI+FW+BW IP+OW+EQ+FS+BS EP+OW+WI+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 Vs Elev. (Ope) (Empty) (Filled) UBC-94/97 155 C: Open Terrain 1.15 0 0.0 N 0.0100 0.0000 0.0000 Seismic Design Code UBC Seismic Zone (1=1,2=2a,3=2b,4=3,5=4) UBC Importance Factor UBC Seismic Coefficient Ca UBC Seismic Coefficient Cv UBC Seismic Coefficient Nv UBC Horizontal Force Factor Apply Allowables per paragraph 1612.3.2 UBC 1997 0 1.250 0.360 0.840 1.000 2.000 No Design Pressure + Static Head Consider MAP New and Cold in Noz. Design Consider External Loads for Nozzle Des. Y N Y km/hr mm ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Input Echo: Step: 1 PV Elite 2019 4:33pm Use ASME VIII-1 Appendix 1-9 Material Database Year Page 5 of 30 Oct 21,2019 N Current w/Addenda or Code Year Configuration Directives: Do not use Nozzle MDMT Interpretation VIII-1 01-37 Use Table G instead of exact equation for "A" Shell Head Joints are Tapered Compute "K" in corroded condition Use Code Case 2286 Use the MAWP to compute the MDMT For thickness ratios <= 0.35, MDMT will be -155F (-104C) For PWHT & P1 Materials the MDMT can be < -55F (-48C) No Yes Yes Yes No Yes Yes 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 calcs. (Div. 1) No Yes Yes No 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 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 10 20 Cylinder 7500 1670 39 0 0 0 0.6895 93 0.1034 93 1.2 SA-516 70 137.9 137.9 179.27 0.00775 31.75 239.95 B CS-2 K02700 Plate 1.0 1.0 No 10 Saddle Saddle 1500 300 1174 120.0 0 350 10 132.0 0.0 3.0 mm mm mm mm mm mm MPa °C MPa °C MPa MPa MPa kg/cm³ mm MPa mm mm mm mm mm mm ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Input Echo: Step: 1 PV Elite 2019 Dimension E at base (optional) Circumferential Eff. over Saddle Circumferential Eff. at Midspan Tangent to Tangent dist. (optional) 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) 4:33pm Page 6 of 30 Oct 21,2019 0 1.0 1.0 0 10 Saddle Sdl 2 Fr10 6000 300 1174 120.0 0 350 10 132.0 0.0 3.0 0 1.0 1.0 0 PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 mm mm mm mm mm mm mm mm mm mm ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design XY Coordinate Calculations: Step: 2 PV Elite 2019 4:33pm Page 7 of 30 Oct 21,2019 XY Coordinate Calculations: From 10 To 20 X (Horiz.) mm 7500 Y (Vert.) mm ... DX (Horiz.) mm DY (Vert.) mm 7500 PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 ... ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Internal Pressure Calculations: Step: 3 PV Elite 2019 4:33pm Page 8 of 30 Oct 21,2019 Element Thickness, Pressure, Diameter and Allowable Stress : From 10 To 20 Int. Press + Liq. Hd MPa Nominal Thickness mm Total Corr Allowance mm Element Diameter mm Allowable Stress(SE) MPa 0.6895 ... ... 1670 137.9 Design Pressure MPa M.A.W.P. Corroded MPa M.A.P. New & Cold MPa Minimum Thickness mm Required Thickness mm 0.6895 6.26526 6.26526 39 4.18756 6.265 6.265 Element Required Thickness and MAWP : From 10 To 20 Minimum MAWP: 6.265 MPa, limited by: Cylinder. Internal Pressure Calculation Results : ASME Code, Section VIII Division 1, 2017 Cylindrical Shell From 10 To 20 SA-516 70 , UCS-66 Crv. B at 93 °C Material UNS Number: K02700 Required Thickness due to Internal Pressure [tr]: = (P*R)/(S*E-0.6*P) per UG-27 (c)(1) = (0.69*835)/(137.9*1-0.6*0.69) = 4.1876 + 0.0000 = 4.1876 mm Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = (137.9*1*39)/(835+0.6*39) = 6.265 MPa Maximum Allowable Pressure, New and Cold [MAPNC]: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = (137.9*1*39)/(835+0.6*39) = 6.265 MPa Actual stress at given pressure and thickness, corroded [Sact]: = (P*(R+0.6*t))/(E*t) = (0.69*(835+0.6*39))/(1*39) = 15.176 MPa % Elongation per Table UG-79-1 (50*tnom/Rf*(1-Rf/Ro)) 2.282 % Minimum Design Metal Temperature Results: Govrn. thk, tg = 39, tr = 39, c = 0 mm, E* = 1 Thickness Ratio = tr * (E*)/(tg - c) = 1, Temp. Reduction = 0 °C Min Metal Temp. w/o impact per UCS-66, Curve B Note: Post Weld Heat Treatment is required for this Element/Joint and it was specified as being heat treated. Elements Suitable for Internal Pressure. 11 °C ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Internal Pressure Calculations: Step: 3 PV Elite 2019 4:33pm Page 9 of 30 Oct 21,2019 PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design External Pressure Calculations: Step: 4 PV Elite 2019 4:33pm Page 10 of 30 Oct 21,2019 External Pressure Calculation Results : External Pressure Calculations: From 10 To 20 Section Length mm Outside Diameter mm Corroded Thickness mm 7500 1748 39 Factor A Factor B MPa 0.00092436 82.8451 External Pressure Calculations: From 10 To 20 External Actual T. mm External Required T. mm 39 External Design Pressure MPa External M.A.W.P. MPa 0.10343 2.4645 10.2843 Minimum 2.464 External Pressure Calculations: From 10 To 20 Actual Length Bet. Stiffeners mm Allowable Length Bet. Stiffeners mm Ring Inertia Required mm**4 Ring Inertia Available mm**4 7500 589085 No Calc No Calc Elements Suitable for External Pressure. ASME Code, Section VIII Division 1, 2017 Cylindrical Shell From 10 to 20 Ext. Chart: CS-2 at 93 °C Elastic Modulus from Chart: CS-2 at 93 °C : 0.200E+06 MPa Results for Maximum Allowable External Pressure (MAEP): Tca OD SLEN D/t L/D Factor A 39.000 1748.00 7500.00 44.82 4.2906 0.0009244 EMAP = (4*B)/(3*(D/t)) = (4*82.85 )/(3*44.82 ) = 2.464 MPa B 82.85 Results for Required Thickness (Tca): Tca OD SLEN D/t L/D Factor A 10.284 1748.00 7500.00 169.97 4.2906 0.0001319 EMAP = (4*B)/(3*(D/t)) = (4*13.18 )/(3*170 ) = 0.103 MPa B 13.18 Results for Maximum Stiffened Length (Slen): Tca OD SLEN D/t L/D Factor A 39.000 1748.00 589085.12 44.82 50.0000 0.0005581 EMAP = (4*B)/(3*(D/t)) = (4*55.8 )/(3*44.82 ) = 1.66 MPa B 55.80 PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Element and Detail Weights: Step: 5 PV Elite 2019 4:33pm Page 11 of 30 Oct 21,2019 Element and Detail Weights: Element Volume ltr Corroded Metal Wgt. kgm Corroded ID Volume ltr Extra due Misc % kgm 12171.6 16430.9 12171.6 16430.9 ... 12171 16430.92 12171 16430.92 0 From Type Weight of Detail kgm X Offset, Dtl. Cent. mm Y Offset, Dtl. Cent. mm 10 Sadl 10 Sadl 289.775 289.775 1500 6000 980 980 From To 10 Element Metal Wgt. kgm 20 Total ID Weight of Details: Description Saddle Sdl 2 Fr10 Total Weight of Each Detail Type: Saddles 579.5 Sum of the Detail Weights 579.5 kgm Weight Summation Results: (kgm) Fabricated Shop Test Shipping Erected Empty Operating Main Elements Saddles Test Liquid 12171.6 579.5 ... 12171.6 579.5 16420.9 12171.6 579.5 ... 12171.6 579.5 ... 12171.6 579.5 ... 12171.6 579.5 ... Totals 12751.2 29172.0 12751.2 12751.2 12751.2 12751.2 Weight Summary: Fabricated Wt. Shop Test Wt. Shipping Wt. Erected Wt. Ope. Wt. no Liq Operating Wt. Oper. Wt. + CA Field Test Wt. - Bare Weight without Removable Internals Fabricated Weight + Water ( Full ) Fab. Weight + removable Intls.+ Shipping App. Fab. Wt + or - loose items (trays,platforms etc.) Fab. Weight + Internals. + Details + Weights Empty Weight + Operating Liq. Uncorroded Corr Wt. + Operating Liquid Empty Weight + Water (Full) Note: The Corroded Weight and thickness are used in the Horizontal Vessel Analysis (Ope Case) and Earthquake Load Calculations. Outside Surface Areas of Elements: From To 10 Total 20 Surface Area mm² 41186280 41186280.000 mm² PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 12751.2 29172.0 12751.2 12751.2 12751.2 12751.2 12751.2 29172.0 kgm kgm kgm kgm kgm kgm kgm kgm ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Wind Load Calculation: Step: 6 PV Elite 2019 4:33pm Page 12 of 30 Oct 21,2019 Wind Analysis Results per UBC 1994 or UBC 1997 Importance Factor as Entered by the User is Wind Stagnation Pressure (qs) from Table 16-F Pressure Coefficient from Table 16-H User Entered Basic Wind Speed 1.150 1.1 Cq 0.800 155.0 kPa km/hr P(height) = Ce(height,Exp) * Cq * qs * Imp Fact. [18-1](1994) or [20-1](1997) The values of Ce are shown as the in the table below: Element Ce From: 10 1.0600 Wind Load Calculation: From 10 To 20 Wind Height mm Wind Diameter mm Wind Area mm² Wind Pressure kPa Element Wind Load N 1174 2097.6 15732003 1.11006 17463.1 PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Earthquake Load Calculation: Step: 7 PV Elite 2019 4:33pm Page 13 of 30 Oct 21,2019 Earthquake Analysis Results per UBC 1997 The The The The The The The UBC Zone Factor for the Vessel is ............. Importance Factor as Specified by the User is UBC Force Factor as Specified by the User is .. UBC Total Weight (W) for the Vessel is ........ UBC Total Shear (V) for the Vessel is ......... UBC Seismic Coefficient Value Ca is ........... UBC Seismic Coefficient Value Cv is ........... 0.0000 1.250 2.000 125037.8 28122.2 0.360 0.840 N N Note: The base shear printed above has been modified by the user defined Earthquake scalar. Calculation Steps for Computing the design Base Shear (V) per UBC 1997 Computation of V per equation (34-1): V = 0.7 * Ca * I * W V = 0.7 * 0.36 * 1.25 * 125038 V = 39386.9 N Computation of V per equation (30-5): V = 2.5 * Ca * I * W / R V = 2.5 * 0.36 * 1.25 * 125038/2 V = 70333.8 N The computed base shear is the minimum of V from 34-1 and 30-5. Computation of V per equation (34-2), minimum V. V cannot be less than this value ! V = 0.56 * Ca * I * W V = 0.56 * 0.36 * 1.25 * 125038 V = 31509.5 N Total Adjusted Base Shear V: = V * Scalar Multiplier = 39386.9 * 0.7140 = 28122.2 N Next Sum the earthquake weights times their heights (wi*hi): Current Sum = Prev. Sum + Wght 41679. * Hght 835.000 = 34816292. Current Sum = Prev. Sum + Wght 41679. * Hght 835.000 = 69632584. Current Sum = Prev. Sum + Wght 41679. * Hght 835.000 = 104448880. Compute the load at each level based on equation 30-15 and multiply by the load case scalar. The sum will be the total adjusted shear. Fx Fx Fx Fx = = = = ( V * wx * hx / ( sum of ( wi * hi ))) * EqFact [(39387.) * 41679. * 835.000 / 104448880.]*.7140 = 9374. [(39387.) * 41679. * 835.000 / 104448880.]*.7140 = 9374. [(39387.) * 41679. * 835.000 / 104448880.]*.7140 = 9374. Earthquake Load Calculation: From To 10 Sadl Sadl 20 10 20 Earthquake Height mm Earthquake Weight N Element Ope Load N 835 835 835 41679.3 41679.3 41679.3 9374.08 9374.08 9374.08 Note: The Earthquake Loads calculated and printed in the Earthquake Load calculation report have been factored by the input ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Earthquake Load Calculation: Step: 7 PV Elite 2019 4:33pm Page 14 of 30 Oct 21,2019 scalar/load reduction factor of: 0.714. PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Center of Gravity Calculation: Step: 8 PV Elite 2019 4:33pm Page 15 of 30 Oct 21,2019 Shop/Field Installation Options : Note : The CG is computed from the first Element From Node Center of Gravity of Saddles 3750.000 mm Center of Gravity of Bare Shell New and Cold Center of Gravity of Bare Shell Corroded 3750.000 mm 3750.000 mm Vessel CG in the Operating Condition Vessel CG in the Fabricated (Shop/Empty) Condition Vessel CG in the Test Condition 3750.000 mm 3750.000 mm 3750.000 mm PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 16 of 30 Oct 21,2019 ASME Horizontal Vessel Analysis: Stresses for the Left Saddle (per ASME Sec. VIII Div. 2 based on the Zick method.) Horizontal Vessel Stress Calculations : Operating Case Note: Wear Pad Width (350.00) 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*sqrt( Rm * t ), 2a ) = min( 300 + 1.56*sqrt( 854.5 * 39 ), 2 * 470 ) = 584.7822 mm Input and Calculated Values: Vessel Mean Radius Stiffened Vessel Length per 4.15.6 Distance from Saddle to Vessel tangent Saddle Width Saddle Bearing Angle Rm L a 854.50 7500.00 470.00 b theta 300.00 120.00 mm degrees 137.90 0.00 1.00 1.00 MPa MPa Shell Allowable Stress used in Calculation Head Allowable Stress used in Calculation Circumferential Efficiency in Plane of Saddle Circumferential Efficiency at Mid-Span Saddle Force Q, Operating Case Horizontal Vessel Analysis Results: 92021.56 mm mm mm N Actual MPa Allowable MPa Midspan Midspan Saddles Saddles 6.06 9.05 7.37 7.66 137.90 137.90 137.90 137.90 Tangential Shear in Shell Circ. Stress at Horn of Saddle Circ. Compressive Stress in Shell 2.83 2.57 0.31 110.32 172.38 137.90 Long. Long. Long. Long. Stress Stress Stress Stress at at at at Top Bottom Top Bottom of of of of Intermediate Results: Saddle Reaction Q due to Wind or Seismic Saddle Reaction Force due to Wind Ft [Fwt]: = Ftr * ( Ft/Num of Saddles + Z Force Load ) * B / E = 3 * ( 17463/2 + 0 ) * 1174/1531 = 20084.8 N Saddle Reaction Force due to Wind Fl or Friction [Fwl]: = max( Fl, Friction Load, Sum of X Forces) * B / Ls = max( 3197, 0, 0 ) * 1174/4500 = 834.0 N Saddle Reaction Force due to Earthquake Fl or Friction [Fsl]: = max( Fl, Friction Force, Sum of X Forces ) * B / Ls = max( 28122, 0, 0 ) * 1174/4500 = 7336.8 N Saddle Reaction Force due to Earthquake Ft [Fst]: = Ftr * ( Ft/Num of Saddles + Z Force Load ) * B / E = 3 * ( 28122/2 + 0 ) * 1174/1531 = 32344.2 N ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 17 of 30 Oct 21,2019 Load Combination Results for Q + Wind or Seismic [Q]: = Saddle Load + Max( Fwl, Fwt, Fsl, Fst ) = 59677 + Max( 834, 20085, 7337, 32344 ) = 92021.6 N Summary of Loads at the base of this Saddle: Vertical Load (including saddle weight) Transverse Shear Load Saddle Ft Longitudinal Shear Load Saddle 94863.09 14061.12 28122.25 N N N Formulas and Substitutions for Horizontal Vessel Analysis: Note: Wear Plate is Welded to the Shell, k = 0.1 The Computed K values from Table 4.15.1: K1 = 0.1066 K2 = 1.1707 K5 = 0.7603 K6 = 0.0529 K9 = 0.2711 K10 = 0.0581 K3 = 0.8799 K7 = 0.0172 K1* = 0.1923 K4 K8 = 0.4011 = 0.3405 Note: Dimension a is greater than or equal to Rm / 2. Moment per Equation 4.15.3 [M1]: = -Q*a [1 - (1- a/L + (R²-h2²)/(2a*L))/(1+(4h2)/3L)] = -92022*470[1-(1-470/7500+(854.5²-0²)/ (2*470*7500))/(1+(4*0)/(3*7500))] = 1769802.0 N-mm Moment per Equation 4.15.4 [M2]: = Q*L/4(1+2(R²-h2²)/(L²))/(1+(4h2)/( 3L))-4a/L = 92022*7500/4(1+2(854.5²-0²)/(7500²))/(1+(4*0)/ (3*7500))-4*470/7500 = 133823976.0 N-mm Longitudinal Stress at Top of Shell (4.15.6) [Sigma1]: = P * Rm/(2t) - M2/(pi*Rm²t) = 0.69 * 854.5/(2*39 ) - 133823976/(pi*854.5²*39 ) = 6.06 MPa Longitudinal Stress at Bottom of Shell (4.15.7) [Sigma2]: = P * Rm/(2t) + M2/(pi * Rm² * t) = 0.69 * 854.5/(2 * 39 ) + 133823976/(pi * 854.5² * 39 ) = 9.05 MPa Longitudinal Stress at Top of Shell at Support (4.15.10) [Sigma*3]: = P * Rm/(2t) - M1/(K1*pi*Rm²t) = 0.69*854.5/(2*39)-1769802/(0.107*pi*854.5²*39) = 7.37 MPa Longitudinal Stress at Bottom of Shell at Support (4.15.11) [Sigma*4]: = P * Rm/(2t) + M1/(K1* * pi * Rm² * t) = 0.69*854.5/(2*39)+1769802/(0.192*pi*854.5²*39) = 7.66 MPa Maximum Shear Force in the Saddle (4.15.5) [T]: = Q(L-2a)/(L+(4*h2/3)) = 92022 ( 7500 - 2 * 470 )/(7500 + ( 4 * 0/3)) = 80488.2 N Shear Stress in the shell no rings, not stiffened (4.15.14) [tau2]: = K2 * T / ( Rm * t ) = 1.171 * 80488/( 854.5 * 39 ) = 2.83 MPa Decay Length (4.15.22) [x1,x2]: ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 18 of 30 Oct 21,2019 = 0.78 * sqrt( Rm * t ) = 0.78 * sqrt( 854.5 * 39 ) = 142.391 mm Circumferential Stress in shell, no rings (4.15.23) [sigma6]: = -K5 * Q * k / ( t * ( b + X1 + X2 ) ) = -0.76 * 92022 * 0.1/( 39 * ( 300 + 142.4 + 142.4 ) ) = -0.31 MPa Circ. Comp. Stress at Horn of Saddle, L>=8Rm (4.15.24) [sigma7]: = -Q/(4*t*(b+X1+X2)) - 3*K7*Q/(2*t²) = -92022/(4*39 *(300 +142.4 +142.4 )) 3*0.0172 *92022/(2*39²) = -2.57 MPa Effective reinforcing plate width (4.15.1) [B1]: = min( b + 1.56 * sqrt( Rm * t ), 2a ) = min( 300 + 1.56 * sqrt( 854.5 * 39 ), 2 * 470 ) = 584.78 mm Free Un-Restrained Thermal Expansion between the Saddles [Exp]: = Alpha * Ls * ( Design Temperature - Ambient Temperature ) = 0.12059E-04 * 4500 * ( 93.34 - 21.11 ) = 3.919 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 1900.0001 26.0000 300.0000 4 10.0000 10.0000 Center 248.2 306.0 0.000 mm mm mm mm mm MPa mm Note: In the tables below Io is I for the rectangle + Area * Centroid Distance^2 Moment of Inertia of Saddle - Transverse Direction (90 degrees to long axis) Shell Wearplate Web BasePlate Totals B D Y A AY Io 631.5 350.0 10.0 300.0 ... 39.0 10.0 264.0 26.0 ... 19.5 44.0 181.0 326.0 ... 24629.0 3500.0 2640.0 7800.0 38569.0 480266.4 154000.0 477840.0 2542800.0 3654906.5 0.143E+09 0.905E+07 0.350E+08 0.418E+09 0.604E+09 Distance to Centroid [C1]: = AY / A = 143894/38569 = 94.763 mm Angle [beta]: = 180 - Saddle Angle/2 = 180 - 120/2 = 120.0 Saddle Splitting Coefficient [K1]: = ( 1 + cos(beta) - 0.5*sin(beta)² )/(pi - beta + sin(beta)cos(beta) ) = ( 1 + cos(120 ) - 0.5*sin(120 )² )/(pi - 2.094 + sin(120 )cos(120 ) ) = 0.2035 Saddle Splitting Force [Fh]: ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 19 of 30 Oct 21,2019 = K1 * Q = 0.204 * 92022 = 18728.3828 N Tension Stress, St = ( Fh/As ) = Allowed Stress, Sa = 0.6 * Yield Str = 1.3436 148.9320 MPa MPa Saddle Splitting Dimension [d]: = B - R * sin( theta )/ theta = 1174 - 835 * sin( 1.047 )/1.047 = 483.461 mm Bending Moment, M = Fh * d = 9058106.0000 Bending Stress, Sb = ( M * C1 / I ) = Allowed Stress, Sa = 2/3 * Yield Str = 1.4203 165.4800 N-mm MPa MPa Minimum Thickness of Baseplate per Moss: = ( 3( Q + Saddle_Wt )BasePlateWidth / ( 4 * BasePlateLength * AllStress ))½ = ( 3(92022 + 2842 )300/( 4 * 1900 * 165.5 ))½ = 8.240 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 - 120/2 )( 835 + 39 + 10 ) = 1531.133 mm Distance between Ribs [e]: = Web Length / ( Nribs - 1 ) = 1531/( 4 - 1 ) = 510.378 mm Baseplate Pressure Area [Ap]: = e * Bpwid / 2 = 510.4 * 300/2 = 76556.641 mm² Axial Load [P]: = Ap * Bp = 76557 * 0.161 = 12359.405 N Area of the Rib and Web [Ar]: = Rib Area + Web Area = 2900 + 2552 = 5451.888 mm² Compressive Stress [Sc]: = P/Ar = 12359/5452 = 2.267 MPa Check of Outside Ribs: Inertia of Saddle, Outer Ribs - Longitudinal Direction Rib+Web B D Y A AY Io 10.0 300.0 ... 3000.0 ... 0.225E+08 Rib dimension [D]: = Saddle Width - Web Thickness = 300 - 10 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 20 of 30 Oct 21,2019 = 290.000 mm Distance to Centroid from Datum [ytot]: = AY / A = 0/5452 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 300/2 = 150.000 mm Radius of Gyration [r]: = sqrt( Total Inertia / Total Area ) = sqrt( 22499978/5452 ) = 64.242 mm Length of Outer Rib [L]: = Saddle Height - cos( theta/2 )( radius + shlthk + wpdthk ) - bpthk = 1174 - cos( 120/2 )( 835 + 39 + 10 ) - 26 = 706.000 mm Intermediate Term [Cc]: = sqrt( 2 * pi² * Elastic Modulus / Yield Stress ) = sqrt( 2 * pi² * 199955/248.2 ) = 126.099 Slenderness ratio [KL/r]: = KL/r = 1 * 706/64.24 = 10.990 Bending Moment [Rm]: = Fl /( 2 * Bplen ) * e * L / 2 = 28122/( 2 * 1900 ) * 510.4 * 706/2 = 1333855.625 N-mm Compressive Allowable, KL/r < Cc ( 10.99 < 126.1 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2*Cc²))Fy/(5/3+3*(Klr)/(8*Cc)-(Klr³)/(8*Cc³) = ( 1-( 10.99 )²/(2 * 126.1² ))248.2/ ( 5/3+3*(10.99 )/(8* 126.1 )-( 10.99³)/(8*126.1³) = 145.5 MPa AISC Unity Check of Outside Ribs ( must be <= 1 ) = Sc/Sca + ( Rm * C1 / I )/Sba = 2.267/145.5 + ( 1333855 * 150/22500000 )/165.5 = 0.069 Check of Inside Ribs: Inertia of Saddle, Inner Ribs - Axial Direction Rib Web Totals B D Y A AY Io 10.0 510.4 ... 290.0 10.0 ... 0.0 0.0 ... 2900.0 5103.8 8003.8 0.0 0.0 ... 0.225E+08 0.425E+05 0.225E+08 Distance to Centroid from Datum [ytot]: = AY / A = 0/8004 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 300/2 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 21 of 30 Oct 21,2019 = 150.000 mm Length of Inner Rib [L]: = Saddle Height - sqrt( (Ro + Wpdthk)^2 - (Pitch/2)^2 ) - Bpthk = 1174 - sqrt( (884 + 10 )^2 - (510.4/2)^2 ) - 26 = 301.634 mm Radius of Gyration [r]: = sqrt( Total Inertia / Total Area ) = sqrt( 22541676/8004 ) = 53.070 mm Slenderness ratio [KL/r]: = KL/r = 1 * 301.6/53.07 = 5.684 Unit Force [Force,u]: = Fl / ( 2 * Baseplate Length ) = 28122/( 2 * 1900 ) = 7.401 N/mm Moment at base of inner Rib [Mbase,c]: = Unit Force * e * L = 7.401 * 510.4 * 301.6 = 1139764.250 N-mm Bending Stress due to Transverse Force and Weight Load [SigmaB,base,c]: = Bending Moment / Section Modulus = 1139764/150278 = 7.582 MPa Compressive Allowable, KL/r < Cc ( 5.684 < 126.1 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2*Cc²))Fy/(5/3+3*(Klr)/(8*Cc)-(Klr³)/(8*Cc³) = ( 1-( 5.684 )²/(2 * 126.1² ))248.2/ ( 5/3+3*(5.684 )/(8* 126.1 )-( 5.684³)/(8*126.1³) = 147.3 MPa AISC Unity Check of Inside Ribs ( must be <= 1 ) = Sc/Sca + ( Mbase,c * C1/I )/Sba = 3.19/147.3 + ( 1139764 * 150/22541676 )/165.5 = 0.067 ASME Horizontal Vessel Analysis: Stresses for the Right Saddle (per ASME Sec. VIII Div. 2 based on the Zick method.) Note: Wear Pad Width (350.00) 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*sqrt( Rm * t ), 2a ) = min( 300 + 1.56*sqrt( 854.5 * 39 ), 2 * 470 ) = 584.7822 mm Input and Calculated Values: Vessel Mean Radius Stiffened Vessel Length per 4.15.6 Distance from Saddle to Vessel tangent Saddle Width Saddle Bearing Angle Shell Allowable Stress used in Calculation Rm L a 854.50 7500.00 470.00 mm mm mm b theta 300.00 120.00 mm degrees 137.90 MPa ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Head Allowable Stress used in Calculation Circumferential Efficiency in Plane of Saddle Circumferential Efficiency at Mid-Span Saddle Force Q, Operating Case Page 22 of 30 Oct 21,2019 0.00 1.00 1.00 92021.57 Horizontal Vessel Analysis Results: MPa N Actual MPa Allowable MPa Midspan Midspan Saddles Saddles 6.06 9.05 7.37 7.66 137.90 137.90 137.90 137.90 Tangential Shear in Shell Circ. Stress at Horn of Saddle Circ. Compressive Stress in Shell 2.83 2.57 0.31 110.32 172.38 137.90 Long. Long. Long. Long. Stress Stress Stress Stress at at at at Top Bottom Top Bottom of of of of Intermediate Results: Saddle Reaction Q due to Wind or Seismic Saddle Reaction Force due to Wind Ft [Fwt]: = Ftr * ( Ft/Num of Saddles + Z Force Load ) * B / E = 3 * ( 17463/2 + 0 ) * 1174/1531 = 20084.8 N Saddle Reaction Force due to Wind Fl or Friction [Fwl]: = max( Fl, Friction Load, Sum of X Forces) * B / Ls = max( 3197, 0, 0 ) * 1174/4500 = 834.0 N Saddle Reaction Force due to Earthquake Fl or Friction [Fsl]: = max( Fl, Friction Force, Sum of X Forces ) * B / Ls = max( 28122, 0, 0 ) * 1174/4500 = 7336.8 N Saddle Reaction Force due to Earthquake Ft [Fst]: = Ftr * ( Ft/Num of Saddles + Z Force Load ) * B / E = 3 * ( 28122/2 + 0 ) * 1174/1531 = 32344.2 N Load Combination Results for Q + Wind or Seismic [Q]: = Saddle Load + Max( Fwl, Fwt, Fsl, Fst ) = 59677 + Max( 834, 20085, 7337, 32344 ) = 92021.6 N Summary of Loads at the base of this Saddle: Vertical Load (including saddle weight) Transverse Shear Load Saddle Ft Longitudinal Shear Load Saddle 94863.10 14061.12 28122.25 N N N Formulas and Substitutions for Horizontal Vessel Analysis: Note: Wear Plate is Welded to the Shell, k = 0.1 The Computed K values from Table 4.15.1: K1 = 0.1066 K2 = 1.1707 K5 = 0.7603 K6 = 0.0529 K9 = 0.2711 K10 = 0.0581 K3 = 0.8799 K7 = 0.0172 K1* = 0.1923 K4 K8 Note: Dimension a is greater than or equal to Rm / 2. Moment per Equation 4.15.3 [M1]: = -Q*a [1 - (1- a/L + (R²-h2²)/(2a*L))/(1+(4h2)/3L)] = -92022*470[1-(1-470/7500+(854.5²-0²)/ = 0.4011 = 0.3405 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 23 of 30 Oct 21,2019 (2*470*7500))/(1+(4*0)/(3*7500))] = 1769802.2 N-mm Moment per Equation 4.15.4 [M2]: = Q*L/4(1+2(R²-h2²)/(L²))/(1+(4h2)/( 3L))-4a/L = 92022*7500/4(1+2(854.5²-0²)/(7500²))/(1+(4*0)/ (3*7500))-4*470/7500 = 133823984.0 N-mm Longitudinal Stress at Top of Shell (4.15.6) [Sigma1]: = P * Rm/(2t) - M2/(pi*Rm²t) = 0.69 * 854.5/(2*39 ) - 133823984/(pi*854.5²*39 ) = 6.06 MPa Longitudinal Stress at Bottom of Shell (4.15.7) [Sigma2]: = P * Rm/(2t) + M2/(pi * Rm² * t) = 0.69 * 854.5/(2 * 39 ) + 133823984/(pi * 854.5² * 39 ) = 9.05 MPa Longitudinal Stress at Top of Shell at Support (4.15.10) [Sigma*3]: = P * Rm/(2t) - M1/(K1*pi*Rm²t) = 0.69*854.5/(2*39)-1769802/(0.107*pi*854.5²*39) = 7.37 MPa Longitudinal Stress at Bottom of Shell at Support (4.15.11) [Sigma*4]: = P * Rm/(2t) + M1/(K1* * pi * Rm² * t) = 0.69*854.5/(2*39)+1769802/(0.192*pi*854.5²*39) = 7.66 MPa Maximum Shear Force in the Saddle (4.15.5) [T]: = Q(L-2a)/(L+(4*h2/3)) = 92022 ( 7500 - 2 * 470 )/(7500 + ( 4 * 0/3)) = 80488.2 N Shear Stress in the shell no rings, not stiffened (4.15.14) [tau2]: = K2 * T / ( Rm * t ) = 1.171 * 80488/( 854.5 * 39 ) = 2.83 MPa Decay Length (4.15.22) [x1,x2]: = 0.78 * sqrt( Rm * t ) = 0.78 * sqrt( 854.5 * 39 ) = 142.391 mm Circumferential Stress in shell, no rings (4.15.23) [sigma6]: = -K5 * Q * k / ( t * ( b + X1 + X2 ) ) = -0.76 * 92022 * 0.1/( 39 * ( 300 + 142.4 + 142.4 ) ) = -0.31 MPa Circ. Comp. Stress at Horn of Saddle, L>=8Rm (4.15.24) [sigma7]: = -Q/(4*t*(b+X1+X2)) - 3*K7*Q/(2*t²) = -92022/(4*39 *(300 +142.4 +142.4 )) 3*0.0172 *92022/(2*39²) = -2.57 MPa Effective reinforcing plate width (4.15.1) [B1]: = min( b + 1.56 * sqrt( Rm * t ), 2a ) = min( 300 + 1.56 * sqrt( 854.5 * 39 ), 2 * 470 ) = 584.78 mm Results for Vessel Ribs, Web and Base: Baseplate Length Baseplate Thickness Baseplate Width Bplen Bpthk Bpwid 1900.0001 26.0000 300.0000 mm mm mm ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 Number of Ribs ( inc. outside ribs ) Rib Thickness Web Thickness Web Location Saddle Yield Stress Height of Web at Center Friction Coefficient 4:33pm Nribs Ribtk Webtk Webloc Sy Hw,c mu Page 24 of 30 Oct 21,2019 4 10.0000 10.0000 Center 248.2 306.0 0.000 mm mm MPa mm Note: In the tables below Io is I for the rectangle + Area * Centroid Distance^2 Moment of Inertia of Saddle - Transverse Direction (90 degrees to long axis) Shell Wearplate Web BasePlate Totals B D Y A AY Io 631.5 350.0 10.0 300.0 ... 39.0 10.0 264.0 26.0 ... 19.5 44.0 181.0 326.0 ... 24629.0 3500.0 2640.0 7800.0 38569.0 480266.4 154000.0 477840.0 2542800.0 3654906.5 0.143E+09 0.905E+07 0.350E+08 0.418E+09 0.604E+09 Distance to Centroid [C1]: = AY / A = 143894/38569 = 94.763 mm Angle [beta]: = 180 - Saddle Angle/2 = 180 - 120/2 = 120.0 Saddle Splitting Coefficient [K1]: = ( 1 + cos(beta) - 0.5*sin(beta)² )/(pi - beta + sin(beta)cos(beta) ) = ( 1 + cos(120 ) - 0.5*sin(120 )² )/(pi - 2.094 + sin(120 )cos(120 ) ) = 0.2035 Saddle Splitting Force [Fh]: = K1 * Q = 0.204 * 92022 = 18728.3848 N Tension Stress, St = ( Fh/As ) = Allowed Stress, Sa = 0.6 * Yield Str = 1.3436 148.9320 MPa MPa Saddle Splitting Dimension [d]: = B - R * sin( theta )/ theta = 1174 - 835 * sin( 1.047 )/1.047 = 483.461 mm Bending Moment, M = Fh * d = 9058107.0000 Bending Stress, Sb = ( M * C1 / I ) = Allowed Stress, Sa = 2/3 * Yield Str = 1.4203 165.4800 N-mm MPa MPa Minimum Thickness of Baseplate per Moss: = ( 3( Q + Saddle_Wt )BasePlateWidth / ( 4 * BasePlateLength * AllStress ))½ = ( 3(92022 + 2842 )300/( 4 * 1900 * 165.5 ))½ = 8.240 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 - 120/2 )( 835 + 39 + 10 ) = 1531.133 mm ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 25 of 30 Oct 21,2019 Distance between Ribs [e]: = Web Length / ( Nribs - 1 ) = 1531/( 4 - 1 ) = 510.378 mm Baseplate Pressure Area [Ap]: = e * Bpwid / 2 = 510.4 * 300/2 = 76556.641 mm² Axial Load [P]: = Ap * Bp = 76557 * 0.161 = 12359.407 N Area of the Rib and Web [Ar]: = Rib Area + Web Area = 2900 + 2552 = 5451.888 mm² Compressive Stress [Sc]: = P/Ar = 12359/5452 = 2.267 MPa Check of Outside Ribs: Inertia of Saddle, Outer Ribs - Longitudinal Direction Rib+Web B D Y A AY Io 10.0 300.0 ... 3000.0 ... 0.225E+08 Rib dimension [D]: = Saddle Width - Web Thickness = 300 - 10 = 290.000 mm Distance to Centroid from Datum [ytot]: = AY / A = 0/5452 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 300/2 = 150.000 mm Radius of Gyration [r]: = sqrt( Total Inertia / Total Area ) = sqrt( 22499978/5452 ) = 64.242 mm Length of Outer Rib [L]: = Saddle Height - cos( theta/2 )( radius + shlthk + wpdthk ) - bpthk = 1174 - cos( 120/2 )( 835 + 39 + 10 ) - 26 = 706.000 mm Intermediate Term [Cc]: = sqrt( 2 * pi² * Elastic Modulus / Yield Stress ) = sqrt( 2 * pi² * 199955/248.2 ) = 126.099 Slenderness ratio [KL/r]: = KL/r ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 26 of 30 Oct 21,2019 = 1 * 706/64.24 = 10.990 Bending Moment [Rm]: = Fl /( 2 * Bplen ) * e * L / 2 = 28122/( 2 * 1900 ) * 510.4 * 706/2 = 1333855.625 N-mm Compressive Allowable, KL/r < Cc ( 10.99 < 126.1 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2*Cc²))Fy/(5/3+3*(Klr)/(8*Cc)-(Klr³)/(8*Cc³) = ( 1-( 10.99 )²/(2 * 126.1² ))248.2/ ( 5/3+3*(10.99 )/(8* 126.1 )-( 10.99³)/(8*126.1³) = 145.5 MPa AISC Unity Check of Outside Ribs ( must be <= 1 ) = Sc/Sca + ( Rm * C1 / I )/Sba = 2.267/145.5 + ( 1333855 * 150/22500000 )/165.5 = 0.069 Check of Inside Ribs: Inertia of Saddle, Inner Ribs - Axial Direction Rib Web Totals B D Y A AY Io 10.0 510.4 ... 290.0 10.0 ... 0.0 0.0 ... 2900.0 5103.8 8003.8 0.0 0.0 ... 0.225E+08 0.425E+05 0.225E+08 Distance to Centroid from Datum [ytot]: = AY / A = 0/8004 = 0.000 mm Distance to Centroid [C1]: = Saddle Width / 2 = 300/2 = 150.000 mm Length of Inner Rib [L]: = Saddle Height - sqrt( (Ro + Wpdthk)^2 - (Pitch/2)^2 ) - Bpthk = 1174 - sqrt( (884 + 10 )^2 - (510.4/2)^2 ) - 26 = 301.634 mm Radius of Gyration [r]: = sqrt( Total Inertia / Total Area ) = sqrt( 22541676/8004 ) = 53.070 mm Slenderness ratio [KL/r]: = KL/r = 1 * 301.6/53.07 = 5.684 Unit Force [Force,u]: = Fl / ( 2 * Baseplate Length ) = 28122/( 2 * 1900 ) = 7.401 N/mm Moment at base of inner Rib [Mbase,c]: = Unit Force * e * L = 7.401 * 510.4 * 301.6 = 1139764.250 N-mm Bending Stress due to Transverse Force and Weight Load [SigmaB,base,c]: = Bending Moment / Section Modulus ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Horizontal Vessel Analysis (Ope.): Step: 9 PV Elite 2019 4:33pm Page 27 of 30 Oct 21,2019 = 1139764/150278 = 7.582 MPa Compressive Allowable, KL/r < Cc ( 5.684 < 126.1 ) per AISC E2-1 [Sca]: = ( 1-(Klr)²/(2*Cc²))Fy/(5/3+3*(Klr)/(8*Cc)-(Klr³)/(8*Cc³) = ( 1-( 5.684 )²/(2 * 126.1² ))248.2/ ( 5/3+3*(5.684 )/(8* 126.1 )-( 5.684³)/(8*126.1³) = 147.3 MPa AISC Unity Check of Inside Ribs ( must be <= 1 ) = Sc/Sca + ( Mbase,c * C1/I )/Sba = 3.19/147.3 + ( 1139764 * 150/22541676 )/165.5 = 0.067 PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design MDMT Summary: Step: 10 PV Elite 2019 4:33pm Page 28 of 30 Oct 21,2019 Minimum Design Metal Temperature Results Summary : Curve Description Notes [8] B Warmest MDMT: Basic MDMT °C Reduced MDMT °C 11 11 11 11 UG-20(f) MDMT °C Thickness ratio Gov Thk mm E* PWHT reqd 1.000 39.000 1.00 Yes Required Minimum Design Metal Temperature Warmest Computed Minimum Design Metal Temperature 0.0 11.0 Warning: Computed overall MDMT was higher than the required value ! Notes: [ ! ] - This was an impact tested material. [ 1] - Governing Nozzle Weld. [ 4] - ANSI Flange MDMT Calcs; Thickness ratio per UCS-66(b)(1)(-c). [ 5] - ANSI Flange MDMT Calcs; Thickness ratio per UCS-66(b)(1)(-b). [ 6] - MDMT Calculations at the Shell/Head Joint. [ 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) [19] - Select a valid hydrotest type to get the UG-20(f) exemption [20] - Cylinder/Cone Junction MDMT based on Longitudinal Stress considerations [21] - Bolting Material 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 Intergraph CADWorx & Analysis Solutions, Inc. 2019 °C °C ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Vessel Design Summary: Step: 11 PV Elite 2019 4:33pm Page 29 of 30 Oct 21,2019 ASME Code, Section VIII Division 1, 2017 Diameter Spec : 1670.000 mm ID Vessel Design Length, Tangent to Tangent 7500.00 mm 0.00 mm Internal Design Temperature Internal Design Pressure 93 0.690 °C MPa External Design Temperature External Design Pressure 93 0.103 °C MPa Maximum Allowable Working Pressure External Max. Allowable Working Pressure Hydrostatic Test Pressure 6.265 2.464 0.000 MPa MPa MPa 0.0 11.0 °C °C Specified Datum Line Distance Required Minimum Design Metal Temperature Warmest Computed Minimum Design Metal Temperature Warning: Computed overall MDMT was higher than the required value ! Wind Design Code Earthquake Design Code UBC UBC-97 Materials of Construction: Component Type Material Class Shell Hrz Bolting SA-516 70 SA-193 B7 ... ... 2 1/2 Thickness UNS # Normal ized Impact Tested ... <= 4 K02700 G41400 No No No No < t 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 Corrosion Allowance Str. Flg. Gov. In Creep Range Cylinder 0.690 0.10 6.265 0.0000 N/A No Nominal Thickness mm Finished Thickness mm Reqd Thk Internal mm Reqd Thk External mm Long Eff Circ Eff ... 39.0 4.2 10.3 1.00 1.00 Element Types and Properties: Element "To" Elev Type mm Element Length mm Cylinder 7500.0 7500.0 Saddle Parameters: Saddle Width Saddle Bearing Angle Centerline Dimension Wear Pad Width Wear Pad Thickness Wear Pad Bearing Angle Distance from Saddle to Tangent 300.000 120.000 1174.000 350.000 10.000 132.000 470.000 mm deg. mm mm mm deg. mm Baseplate Length Baseplate Thickness 1900.000 26.000 mm mm ® SPLM Licensed User PV Elite 2019 Licensee: FileName : Saddle Design Vessel Design Summary: Step: 11 PV Elite 2019 4:33pm Baseplate Width Number of Ribs (including outside ribs) Rib Thickness Web Thickness Height of Center Web Page 30 of 30 Oct 21,2019 300.000 4 10.000 10.000 306.000 mm mm mm mm Baseplate Sketch |------------------- 1900.000 mm --------------------| ------------------------------------------------------ --| | | | 300.000 mm | | ------------------------------------------------------ --Baseplate Plan View ------------------------------------------------------ --| | 26.000 mm ------------------------------------------------------ --Baseplate Side View Summary of Maximum Saddle Loads, Operating Case : Maximum Vertical Saddle Load Maximum Transverse Saddle Shear Load Maximum Longitudinal Saddle Shear Load Summary of Maximum Saddle Loads, Operating Case, Un-Factored : Maximum Vertical Saddle Load Maximum Transverse Saddle Shear Load Maximum Longitudinal Saddle Shear Load Weights: Fabricated Shop Test Shipping Erected Empty Operating Field Test - Bare W/O Removable Internals Fabricated + Water ( Full ) Fab. + Rem. Intls.+ Shipping App. Fab. + Rem. Intls.+ Insul. (etc) Fab. + Intls. + Details + Wghts. Empty + Operating Liquid (No CA) Empty Weight + Water (Full) 94863.10 14061.12 28122.25 N N N 107818.91 32344.21 39386.91 N N N 12751.2 29172.0 12751.2 12751.2 12751.2 12751.2 29172.0 PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2019 kgm kgm kgm kgm kgm kgm kgm