Cover Page 2 DESIGN CALCULATION. In Accordance with ASME Section VIII Division 1. ASME Code Version : 2007

Transcription

1 Table of Contents Cover Sheet...2 Warnings and Errors...3 Input Echo...4 XY Coordinate Calculations...9 Internal Pressure Calculations...10 External Pressure Calculations...14 Element and Detail Weights...18 Nozzle Flange MAWP...20 Natural Frequency Calculation...21 Wind Load Calculation...22 Earthquake Load Calculation...24 Wind/Earthquake Shear, Bending...25 Wind Deflection...26 Longitudinal Stress Constants...27 Longitudinal Allowable Stresses...28 Longitudinal Stresses Due to Stress due to Combined Loads...31 Center of Gravity Calculation...35 Basering Calculations...36 Conical Section...40 Nozzle Calcs. Drain...43 Nozzle Calcs. Manway...46 Nozzle Calcs. Inlet...50 Nozzle Calcs. Outlet...53 Nozzle Calcs. Vent...57 Nozzle Schedule...60 Nozzle Summary...61 Vessel Design Summary...62

2 Cover Page 2 DESIGN CALCULATION In Accordance with ASME Section VIII Division 1 ASME Code Version : 2007 Analysis Performed by : KEDKEP CONSULTING, INC. Job File : E:\WEB\TOWER ANALYSIS.PVI Date of Analysis : Oct 23,2008 PV Elite 2008, May 2008

3 Warnings and Errors Step: 0 3:04p Oct 23, Class From To : Basic Element Checks. ========================================================================== Class From To: Check of Additional Element Data ========================================================================== There were no geometry errors or warnings. PV Elite 2008 c by COADE Engineering Software

4 Input Echo Step: 1 3:04p Oct 23, PV Elite Vessel Analysis Program: Input Data Design Internal Pressure (for Hydrotest) psig Design Internal Temperature 200 F Type of Hydrotest UG99-b Note [34] Hydrotest Position Horizontal Projection of Nozzle from Vessel Top in. Projection of Nozzle from Vessel Bottom in. Minimum Design Metal Temperature -20 F Type of Construction Welded Special Service Air/Water/Steam Degree of Radiography RT-4 Miscellaneous Weight Percent 20. Use Higher Longitudinal Stresses (Flag) Y Select t for Internal Pressure (Flag) N Select t for External Pressure (Flag) N Select t for Axial Stress (Flag) N Select Location for Stiff. Rings (Flag) N Use Hydrotest Allowable Unmodified Y Consider Vortex Shedding N Perform a Corroded Hydrotest N Is this a Heat Exchanger No User Defined Hydro. Press. (Used if > 0) psig User defined MAWP psig User defined MAPnc psig 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 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 Wind Design Code NBC-2005 NBC Design Wind Speed mile/hr NBC Exposure Constant B Importance Factor 1. NBC Roughness Factor 1 NBC Base Elevation ft. NBC Critical Damping Ratio NBC Percent Wind for Hydrotest 33. Use Wind Profile (Y/N) N Damping Factor (Beta) for Wind (Ope) Damping Factor (Beta) for Wind (Empty) Damping Factor (Beta) for Wind (Filled) Seismic Design Code NBC-2005 Importance Factor Overstrength Factor Ductility Factor

5 Input Echo Step: 1 3:04p Oct 23, Height Ratio (hx/hn) Component Amplification factor [Rp] Element or Component factor [Cp] Component Force factor [Ar] Site Class C Acceleration Sa(0.2) Acceleration Sa(0.5) Acceleration Sa(1.0) Acceleration Sa(2.0) Design Nozzle for Des. Press. + St. Head Consider MAP New and Cold in Noz. Design Consider External Loads for Nozzle Des. Consider Code Case 2168 for Nozzle Des. Y N Y N Material Database Year Current w/addenda or Code Year Complete Listing of Vessel Elements and Details: Element From Node 10 Element To Node 20 Element Type Skirt Sup. Description Skirt Distance "FROM" to "TO" ft. Skirt Inside Diameter in. Diameter of Skirt at Base in. Skirt Thickness in. Internal Corrosion Allowance in. Nominal Thickness in. External Corrosion Allowance in. Design Temperature Internal Pressure 200 F Design Temperature External Pressure 200 F Effective Diameter Multiplier 1.2 Material Name SA Allowable Stress, Ambient psi Allowable Stress, Operating psi Allowable Stress, Hydrotest psi Material Density lb./cu.in. P Number Thickness in. Yield Stress, Operating psi UCS-66 Chart Curve Designation B External Pressure Chart Name CS-2 UNS Number K02700 Product Form Plate Efficiency, Longitudinal Seam 0.7 Efficiency, Head-to-Skirt or Circ. Seam 0.7 Element From Node 20 Element To Node 30 Element Type Elliptical Description Btm Head Distance "FROM" to "TO" ft. Inside Diameter in. Element Thickness in. Internal Corrosion Allowance in. Nominal Thickness in. External Corrosion Allowance in. Design Internal Pressure psig Design Temperature Internal Pressure 200 F Design External Pressure psig Design Temperature External Pressure 200 F Effective Diameter Multiplier 1.2 Material Name SA Efficiency, Longitudinal Seam 0.85 Efficiency, Circumferential Seam 0.7

6 Input Echo Step: 1 3:04p Oct 23, Elliptical Head Factor 2. Element From Node 20 Detail Type Nozzle Detail ID Drain Dist. from "FROM" Node / Offset dist in. Nozzle Diameter 3. in. Nozzle Schedule 80 Nozzle Class 150 Layout Angle 0. Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) lb. Grade of Attached Flange GR 1.1 Nozzle Matl SA-106 B Element From Node 30 Element To Node 40 Element Type Cylinder Description Shell 1 Distance "FROM" to "TO" ft. Inside Diameter in. Element Thickness in. Internal Corrosion Allowance in. Nominal Thickness in. External Corrosion Allowance in. Design Internal Pressure psig Design Temperature Internal Pressure 200 F Design External Pressure psig Design Temperature External Pressure 200 F Effective Diameter Multiplier 1.2 Material Name SA Efficiency, Longitudinal Seam 0.85 Efficiency, Circumferential Seam 0.7 Element From Node 30 Detail Type Nozzle Detail ID Manway Dist. from "FROM" Node / Offset dist ft. Nozzle Diameter 16. in. Nozzle Schedule 40 Nozzle Class 150 Layout Angle 0. Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) lb. Grade of Attached Flange GR 1.1 Nozzle Matl SA-106 B Element From Node 40 Element To Node 50 Element Type Cylinder Description shell 2 Distance "FROM" to "TO" ft. Inside Diameter in. Element Thickness in. Internal Corrosion Allowance in. Nominal Thickness in. External Corrosion Allowance in. Design Internal Pressure psig Design Temperature Internal Pressure 200 F Design External Pressure psig Design Temperature External Pressure 200 F Effective Diameter Multiplier 1.2 Material Name SA Efficiency, Longitudinal Seam 0.85 Efficiency, Circumferential Seam 0.7

7 Input Echo Step: 1 3:04p Oct 23, Element From Node 40 Detail Type Ring Detail ID Ring:[1 of 1] Dist. from "FROM" Node / Offset dist ft. Inside Diameter of Ring in. Thickness of Ring in. Outside Diameter of Ring in. Material Name SA Height of Section Ring in. Using Custom Stiffener Section No Element From Node 40 Detail Type Nozzle Detail ID Inlet Dist. from "FROM" Node / Offset dist ft. Nozzle Diameter 6. in. Nozzle Schedule 40 Nozzle Class 150 Layout Angle 0. Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) lb. Grade of Attached Flange GR 1.1 Nozzle Matl SA-106 B Element From Node 50 Element To Node 60 Element Type Conical Description Cone Distance "FROM" to "TO" ft. Inside Diameter in. Element Thickness in. Internal Corrosion Allowance in. Nominal Thickness in. External Corrosion Allowance in. Design Internal Pressure psig Design Temperature Internal Pressure 200 F Design External Pressure psig Design Temperature External Pressure 200 F Effective Diameter Multiplier 1.2 Material Name SA Efficiency, Longitudinal Seam 0.85 Efficiency, Circumferential Seam 0.7 Cone Diameter at "To" End in. Design Length of Cone in. Half Apex Angle of Cone Toriconical (Y/N) N Element From Node 60 Element To Node 70 Element Type Cylinder Description Shell 3 Distance "FROM" to "TO" ft. Inside Diameter in. Element Thickness in. Internal Corrosion Allowance in. Nominal Thickness in. External Corrosion Allowance in. Design Internal Pressure psig Design Temperature Internal Pressure 200 F Design External Pressure psig Design Temperature External Pressure 200 F Effective Diameter Multiplier 1.2 Material Name SA Efficiency, Longitudinal Seam 0.85

8 Input Echo Step: 1 3:04p Oct 23, Efficiency, Circumferential Seam 0.7 Element From Node 60 Detail Type Nozzle Detail ID Outlet Dist. from "FROM" Node / Offset dist ft. Nozzle Diameter 6. in. Nozzle Schedule 40 Nozzle Class 150 Layout Angle 0. Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) lb. Grade of Attached Flange GR 1.1 Nozzle Matl SA-106 B Element From Node 70 Element To Node 80 Element Type Elliptical Description Top Head Distance "FROM" to "TO" ft. Inside Diameter in. Element Thickness in. Internal Corrosion Allowance in. Nominal Thickness in. External Corrosion Allowance in. Design Internal Pressure psig Design Temperature Internal Pressure 200 F Design External Pressure psig Design Temperature External Pressure 200 F Effective Diameter Multiplier 1.2 Material Name SA Efficiency, Longitudinal Seam 0.85 Efficiency, Circumferential Seam 0.7 Elliptical Head Factor 2. Element From Node 70 Detail Type Nozzle Detail ID Vent Dist. from "FROM" Node / Offset dist in. Nozzle Diameter 2.5 in. Nozzle Schedule 80 Nozzle Class 150 Layout Angle 0. Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) lb. Grade of Attached Flange GR 1.1 Nozzle Matl SA-106 B PV Elite 2008 c by COADE Engineering Software

9 XY Coordinate Calculations Step: 2 3:04p Oct 23, XY Coordinate Calculations From To X (Horiz.) Y (Vert.) DX (Horiz.) DY (Vert.) ft. ft. ft. ft. Skirt Btm Head Shell shell Cone Shell Top Head PV Elite 2008 c by COADE Engineering Software

10 Internal Pressure Calculations Step: 3 3:04p Oct 23, Element Thickness, Pressure, Diameter and Allowable Stress : Int. Press Nominal Total Corr Element Allowable From To + Liq. Hd Thickness Allowance Diameter Stress(SE) psig in. in. in. psi Skirt Btm Head Shell shell Cone Shell Top Head Element Required Thickness and MAWP : Design M.A.W.P. M.A.P. Actual Required From To Pressure Corroded New & Cold Thickness Thickness psig psig psig in. in. Skirt No Calc No Calc No Calc Btm Head Shell shell Cone Shell Top Head Minimum MAWP: psig, limited by: Btm Head. Internal Pressure Calculation Results : ASME Code, Section VIII, Division 1, 2007 Elliptical Head From 20 To 30 SA , UCS-66 Crv. B at 200 F Btm Head Thickness Due to Internal Pressure [Tr]: = (P*D*K)/(2*S*E-0.2*P) Appendix 1-4(c) = ( * *0.12)/(2* * * ) = = in. Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (2*S*E*t)/(K*D+0.2*t) per Appendix 1-4 (c) = (2* *0.85*0.1250)/(1.00* *0.1250) = psig Maximum Allowable Pressure, New and Cold [MAPNC]: = (2*S*E*t)/(K*D+0.2*t) per Appendix 1-4 (c) = (2* *0.85*0.2500)/(1.00* *0.2500) = psig Actual stress at given pressure and thickness, corroded [Sact]: = (P*(K*D+0.2*t))/(2*E*t) = ( *(1.00* *0.1250))/(2*0.85*0.1250) = psi Required Thickness of Straight Flange = in. Percent Elongation per UCS-79 (75*tnom/Rf)*(1-Rf/Ro) % Min Metal Temp. w/o impact per UCS-66 Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.81] -20 F -39 F

11 Internal Pressure Calculations Step: 3 3:04p Oct 23, Cylindrical Shell From 30 To 40 SA , UCS-66 Crv. B at 200 F Shell 1 Thickness Due to Internal Pressure [Tr]: = (P*R)/(S*E-0.6*P) per UG-27 (c)(1) = ( * )/( * * ) = = in. Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = ( *0.85*0.6250)/( *0.6250) = psig Maximum Allowable Pressure, New and Cold [MAPNC]: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = ( *0.85*0.7500)/( *0.7500) = psig Actual stress at given pressure and thickness, corroded [Sact]: = (P*(R+0.6*t))/(E*t) = ( *( *0.6250))/(0.85*0.6250) = psi Percent Elongation per UCS-79 (50*tnom/Rf)*(1-Rf/Ro) % Min Metal Temp. w/o impact per UCS-66 Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.16] Min Metal Temp. w/o impact per UG-20(f) 16 F -124 F -20 F Cylindrical Shell From 40 To 50 SA , UCS-66 Crv. B at 200 F shell 2 Thickness Due to Internal Pressure [Tr]: = (P*R)/(S*E-0.6*P) per UG-27 (c)(1) = ( * )/( * * ) = = in. Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = ( *0.85*0.6250)/( *0.6250) = psig Maximum Allowable Pressure, New and Cold [MAPNC]: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = ( *0.85*0.7500)/( *0.7500) = psig Actual stress at given pressure and thickness, corroded [Sact]: = (P*(R+0.6*t))/(E*t) = ( *( *0.6250))/(0.85*0.6250) = psi Percent Elongation per UCS-79 (50*tnom/Rf)*(1-Rf/Ro) % Min Metal Temp. w/o impact per UCS-66 Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.16] Min Metal Temp. w/o impact per UG-20(f) 16 F -124 F -20 F Conical Section From 50 To 60 SA , UCS-66 Crv. B at 200 F Cone Thickness Due to Internal Pressure [Tr]:

12 Internal Pressure Calculations Step: 3 3:04p Oct 23, = (P*D)/(2*cos(a)*(S*E-0.6*P)) per Appendix 1-4 (e) = ( * )/(2*0.9701*( * * )) = = in. Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (2*S*E*t*cos(a))/(D+1.2*t*cos(a)) per App 1-4(e) = (2* *0.85*0.625*0.970)/( *0.625*0.970) = psig Maximum Allowable Pressure, New and Cold [MAPNC]: = (2*S*E*t*cos(a))/(D+1.2*t*cos(a)) per App 1-4(e) = (2* *0.85*0.7500*0.9701)/( *0.7500*0.9701) = psig Actual stress at given pressure and thickness, corroded [Sact]: = (P*(D+1.2*t*cos(a)))/(2*E*t*cos(a)) = ( *( *0.6250*0.9701))/(2*0.85*0.6250*0.9701) = psi Percent Elongation per UCS-79 (75*tnom/Rf)*(1-Rf/Ro) % Min Metal Temp. w/o impact per UCS-66 Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.17] Min Metal Temp. w/o impact per UG-20(f) 16 F -124 F -20 F Cylindrical Shell From 60 To 70 SA , UCS-66 Crv. B at 200 F Shell 3 Thickness Due to Internal Pressure [Tr]: = (P*R)/(S*E-0.6*P) per UG-27 (c)(1) = ( * )/( * * ) = = in. Note: The thickness required was less than the Code Minimum, therefore the Code Minimum value of in. will be used. Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = ( *0.85*0.6250)/( *0.6250) = psig Maximum Allowable Pressure, New and Cold [MAPNC]: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = ( *0.85*0.7500)/( *0.7500) = psig Actual stress at given pressure and thickness, corroded [Sact]: = (P*(R+0.6*t))/(E*t) = ( *( *0.6250))/(0.85*0.6250) = psi Percent Elongation per UCS-79 (50*tnom/Rf)*(1-Rf/Ro) % Min Metal Temp. w/o impact per UCS-66 Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.13] Min Metal Temp. w/o impact per UG-20(f) 16 F -124 F -20 F Elliptical Head From 70 To 80 SA , UCS-66 Crv. B at 200 F Top Head Thickness Due to Internal Pressure [Tr]: = (P*D*K)/(2*S*E-0.2*P) Appendix 1-4(c) = ( * *0.12)/(2* * * )

13 Internal Pressure Calculations Step: 3 3:04p Oct 23, = = in. Note: The thickness required was less than the Code Minimum, therefore the Code Minimum value of in. will be used. Max. Allowable Working Pressure at given Thickness, corroded [MAWP]: = (2*S*E*t)/(K*D+0.2*t) per Appendix 1-4 (c) = (2* *0.85*0.2500)/(1.00* *0.2500) = psig Maximum Allowable Pressure, New and Cold [MAPNC]: = (2*S*E*t)/(K*D+0.2*t) per Appendix 1-4 (c) = (2* *0.85*0.3750)/(1.00* *0.3750) = psig Actual stress at given pressure and thickness, corroded [Sact]: = (P*(K*D+0.2*t))/(2*E*t) = ( *(1.00* *0.2500))/(2*0.85*0.2500) = psi Required Thickness of Straight Flange = in. Percent Elongation per UCS-79 (75*tnom/Rf)*(1-Rf/Ro) % Min Metal Temp. w/o impact per UCS-66 Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.32] -20 F -155 F MINIMUM METAL DESIGN TEMPERATURE RESULTS : Minimum Metal Temp. w/o impact per UCS-66 Minimum Metal Temp. at Required thickness 16. F -39. F Note: Heads and Shells Exempted to -20F (-29C) by paragraph UG-20F Minimum Design Metal Temperature ( Entered by User ) -20. F Hydrostatic Test Pressure Results: Pressure per UG99b = 1.3 * M.A.W.P. * Sa/S psig Pressure per UG99b[34] = 1.3 * Design Pres * Sa/S psig Pressure per UG99c = 1.3 * M.A.P. - Head(Hyd) psig Pressure per UG100 = 1.1 * M.A.W.P. * Sa/S psig UG-99(b) Note 34, Test Pressure Calculation: = Test Factor * Design Pressure * Stress Ratio = 1.3 * * = psig Horizontal Hydrotest performed in accordance with: UG-99b (Note 34) Stresses on Elements due to Hydrostatic Test Pressure: From To Stress Allowable Ratio Pressure Btm Head Shell shell Cone Shell Top Head Elements Suitable for Internal Pressure. PV Elite 2008 c by COADE Engineering Software

14 External Pressure Calculations Step: 4 3:04p Oct 23, External Pressure Calculation Results : ASME Code, Section VIII, Division 1, 2007 Elliptical Head From 20 to 30 Ext. Chart: CS-2 at 200 F Btm Head Elastic Modulus from Chart: CS-2 at 300 F : E+08 psi Results for Maximum Allowable External Pressure (MAEP): Tca OD D/t Factor A B EMAP = B/(K0*D/t) = /( * ) = psig Results for Required Thickness (Tca): Tca OD D/t Factor A B EMAP = B/(K0*D/t) = /( * ) = psig Cylindrical Shell From 30 to 40 Ext. Chart: CS-2 at 200 F Shell 1 Elastic Modulus from Chart: CS-2 at 300 F : E+08 psi Results for Maximum Allowable External Pressure (MAEP): Tca OD SLEN D/t L/D Factor A B EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Results for Required Thickness (Tca): Tca OD SLEN D/t L/D Factor A B EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Results for Maximum Stiffened Length (Slen): Tca OD SLEN D/t L/D Factor A B E E EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Cylindrical Shell From 40 to Ring:[1 of 1] Ext. Chart: CS-2 at 200 F shell 2 Elastic Modulus from Chart: CS-2 at 300 F : E+08 psi Results for Maximum Allowable External Pressure (MAEP): Tca OD SLEN D/t L/D Factor A B EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Results for Required Thickness (Tca): Tca OD SLEN D/t L/D Factor A B EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Results for Maximum Stiffened Length (Slen): Tca OD SLEN D/t L/D Factor A B E E EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Cone From 50 to 60 Ext. Chart: CS-2 at 200 F

15 External Pressure Calculations Step: 4 3:04p Oct 23, Cone Elastic Modulus from Chart: CS-2 at 300 F : E+08 psi Results for Maximum Allowable External Pressure (MAEP): Tca OD SLEN D/t L/D Factor A B EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Note: The cone thickness used in the calculation has been modified per UG-33(f), te = t * cos(alpha). Results for Required Thickness (Tca): Tca OD SLEN D/t L/D Factor A B EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Note: The cone thickness used in the calculation has been modified per UG-33(f), te = t * cos(alpha). Cylindrical Shell From 60 to 70 Ext. Chart: CS-2 at 200 F Shell 3 Elastic Modulus from Chart: CS-2 at 300 F : E+08 psi Results for Maximum Allowable External Pressure (MAEP): Tca OD SLEN D/t L/D Factor A B EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Results for Required Thickness (Tca): Tca OD SLEN D/t L/D Factor A B EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Results for Maximum Stiffened Length (Slen): Tca OD SLEN D/t L/D Factor A B E E EMAP = (4*B)/(3*(D/t)) = (4* )/(3* ) = psig Elliptical Head From 70 to 80 Ext. Chart: CS-2 at 200 F Top Head Elastic Modulus from Chart: CS-2 at 300 F : E+08 psi Results for Maximum Allowable External Pressure (MAEP): Tca OD D/t Factor A B EMAP = B/(K0*D/t) = /( * ) = psig Results for Required Thickness (Tca): Tca OD D/t Factor A B EMAP = B/(K0*D/t) = /( * ) = psig Stiffening Ring Calculations for : Ring:[1 of 1], SA Effective Length of Shell 5.60 in. Area (sq.in.) Distance (in.) Area*Dist Shell: Ring : Total: Centroid of Ring plus Shell = in. Inertia Distance A*Dist 2

16 External Pressure Calculations Step: 4 3:04p Oct 23, Shell: Ring : Total: Available Moment of Inertia, Ring plus Shell in**4 Required Stress in Ring plus Shell BREQ psi Required Strain in Ring plus Shell AREQ Required Moment of Inertia, Ring plus Shell = ( OD 2 * SLEN * (TCA+ARING/SLEN) * AREQ )/ 10.9 = ( * *( / )* )/10.9 = in**4 Results for Stiffening Ring Weld Calculations per UG-30 Given Stiffening Ring Fillet Weld Size Wleg in. Stiffening Ring Attachment Style BOTH Location of Stiffening Ring EXTERNAL Radial Pressure Load Pext*Slen lb./in. The Radial Shear Load V lb. The First Moment of the Area ( Ring + Shell ) Q 1.39 in. 3 Weld Shear Flow due to Rad. Shear Load VQ/I lb./in The Weld Allowable Stress.55*S psi Minimum Weld Leg Size Min(.25,TCA,TRING) Wldmin 0.25 in. Maximum Space between Welds 24*TCA in. The Weld Allowable Load WLeg*.55*S lb./in The Combined Weld Load SRSS of VQ/I and Pext*Slen lb./in External Pressure Calculations Section Outside Corroded Factor Factor From To Length Diameter Thickness A B ft. in. in. psi No Calc No Calc No Calc No Calc Ring Ring No Calc External Pressure Calculations External External External External From To Actual T. Required T. Des. Press. M.A.W.P. in. in. psig psig No Calc No Calc Ring Ring Minimum External Pressure Calculations Actual Len. Allow. Len. Ring Inertia Ring Inertia From To Bet. Stiff. Bet. Stiff. Required Available ft. ft. in**4 in** No Calc No Calc No Calc No Calc No Calc No Calc No Calc No Calc E+21 No Calc No Calc 40 Ring E+21 No Calc No Calc

17 External Pressure Calculations Step: 4 3:04p Oct 23, Ring E No Calc No Calc E+27 No Calc No Calc No Calc No Calc No Calc No Calc Elements Suitable for External Pressure. PV Elite 2008 c by COADE Engineering Software

18 Element and Detail Weights Step: 5 3:04p Oct 23, Element and Detail Weights Element Element Corroded Corroded Extra due From To Metal Wgt. ID Volume Metal Wgt. ID Volume Misc % lb. in3 lb. in3 lb Total Weight of Details Weight of X Offset, Y Offset, From Type Detail Dtl. Cent. Dtl. Cent. Description lb. ft. ft. 20 Nozl Drain 30 Nozl Manway 40 Ring Ring:[1 of 1] 40 Nozl Inlet 60 Nozl Outlet 70 Nozl Vent Total Weight of Each Detail Type Total Weight of Stiffeners 80.7 Total Weight of Nozzles Sum of the Detail Weights lb. Weight Summary Fabricated Wt. - Bare Weight W/O Removable Internals lb. Shop Test Wt. - Fabricated Weight + Water ( Full ) lb. Shipping Wt. - Fab. Wt + Rem. Intls.+ Shipping App lb. Erected Wt. - Fab. Wt + Rem. Intls.+ Insul. (etc) lb. Ope. Wt. no Liq - Fab. Wt + Intls. + Details + Wghts lb. Operating Wt. - Empty Wt. + Operating Liquid (No CA) lb. Field Test Wt. - Empty Weight + Water (Full) lb. Mass of the Upper 1/3 of the Vertical Vessel lb. Outside Surface Areas of Elements Surface From To Area sq.in Total sq.in. [466.5 Square Feet ] Element and Detail Weights To Total Ele. Total. Ele. Total. Ele. Total Dtl. Oper. Wgt. From To Empty Wgt. Oper. Wgt. Hydro. Wgt. Offset Mom. No Liquid

19 Element and Detail Weights Step: 5 3:04p Oct 23, lbm lbm lbm ft.lb. lbm Cumulative Vessel Weight Cumulative Ope Cumulative Cumulative From To Wgt. No Liquid Oper. Wgt. Hydro. Wgt. lbm lbm lbm Note: The cumulative operating weights no liquid in the column above are the cumulative operating weights minus the operating liquid weight minus any weights absent in the empty condition. Cumulative Vessel Moment Cumulative Cumulative Cumulative From To Empty Mom. Oper. Mom. Hydro. Mom. ft.lb. ft.lb. ft.lb PV Elite 2008 c by COADE Engineering Software

20 Nozzle Flange MAWP Step: 6 3:04p Oct 23, Nozzle Flange MAWP Results : Flange Rating Operating Ambient Temperature Class Grade Group psig psig F GR Minimum Rating psig Note: ANSI Ratings are per ANSI/ASME B Edition PV Elite 2008 c by COADE Engineering Software

21 Natural Frequency Calculation Step: 7 3:04p Oct 23, The Natural Frequencies for the vessel have been computed iteratively by solving a system of matrices. These matrices describe the mass and the stiffness of the vessel. This is the generalized eigenvalue/ eigenvector problem and is referenced in some mathematical texts. The Natural Frequency for the Vessel (Empty.) is Hz. The Natural Frequency for the Vessel (Ope...) is Hz. PV Elite 2008 c by COADE Engineering Software

22 Wind Load Calculation Step: 8 3:04p Oct 23, Wind Load Results per National Building Code of Canada 2005 Static Pressure q psf Gust Factor Cg Pressure Coefficient Cp Exposure Category B Importance Factor from Table Iw 1.00 Equation to determine the Wind Pressure at level h [p(h)]: = Iw * q * Ce(height,Exp) * Cg * Cp [ ](2005) Intermediate values for each element are shown below: Element Ce Cg Iw q Skirt Btm Head Shell shell Cone Shell Top Head Terms involving the calculation of Cg Note: The figures referenced below are from the NBC 2005 edition Background Turbulence Factor from Figure I-18 [B]: = Size Reduction Factor from Figure I-19 [s]: = Gust Energy ratio from Figure I-20 [F]: = Peak Factor from Figure I-20 [gp]: = Value of sigma/mu [sigma/mu]: = sqrt( K/CeH * ( B + S * F / Beta )) = sqrt( / * ( * / )) = Value of the Gust Effect Factor [Cg]: = 1 + gp( sigma/mu ) = ( ) = Wind Pressure on the first element [p]: = Iw * q * Ce * Cg = 1.00 * * * = psf Force on the first element [F]: = p * Wind Area * Shape Factor = * * = lb. Wind Vibration Calculations This evaluation is based on work by Kanti Mahajan and Ed Zorilla

23 Wind Load Calculation Step: 8 3:04p Oct 23, Nomenclature Cf - Correction factor for natural frequency D - Average internal diameter of vessel ft. Df - Damping Factor < 0.75 Unstable, > 0.95 Stable Dr - Average internal diameter of top half of vessel ft. f - Natural frequency of vibration (Hertz) f1 - Natural frequency of bare vessel based on a unit value of (D/L2)(10 4 ) L - Total height of structure ft. Lc - Total length of conical section(s) of vessel ft. tb - Uncorroded plate thickness at bottom of vessel in. V30 - Design Wind Speed provided by user mile/hr Vc - Critical wind velocity mile/hr Vw - Maximum wind speed at top of structure mile/hr W - Total corroded weight of structure lb. Ws - Cor. vessel weight excl. weight of parts which do not effect stiff. lb. Z - Maximum amplitude of vibration at top of vessel in. Dl - Logarithmic decrement ( taken as 0.03 for Welded Structures ) Vp - Vib. Chance, <= 0.200E+02 (High); 0.200E+02 < 0.250E+02 (Probable) P30 - wind pressure 30 feet above the base Check other Conditions and Basic Assumptions: #1 - Total Cone Length / Total Length < / = #2 - ( D / L 2 ) * 10 4 < 8.0 (English Units) - ( 3.21 / ) * 10 4 = [Geometry Violation] Compute the vibration possibility. If Vp > 0.250E+02 no chance. [Vp]: = W / ( L * Dr 2 ) = / ( * ) = Since Vp is > 0.250E+02 no further vibration analysis is required! The Natural Frequency for the Vessel (Ope...) is Hz. Wind Load Calculation Wind Wind Wind Height Element From To Height Diameter Area Factor Wind Load ft. ft. sq.in. psf lb PV Elite 2008 c by COADE Engineering Software

24 Earthquake Load Calculation Step: 9 3:04p Oct 23, Seismic Load Calculations per NBC 2005 Input Values : Importance Factor Ie Site Class C Overstrength Factor Ro Ductility Factor Rd Fundamental Period of Vibration [T]: = 1/Fn = 1/4.684 = Seconds Design Spectral Acceleration Candidates per ) Case # Fa Fv Sa() Value Applicable Time Period Sa(0.2) T <= 0.2s Sa(0.5) T = 0.5s Sa(1.0) T = 1.0s Sa(2.0) T = 2.0s Sa(2.0)/ T >= 4.0s Final Selected value of S(Ta) based on the calculated period [S(Ta)]: = Gs Base Shear per [V]: = S(Ta) * Ie * W / ( Ro * Rd ) = * * / ( * ) = lb. Minimum Base Shear per [Vmin]: = S(2.0) * Ie * W / ( Ro * Rd ) = * * / ( * ) = lb. For Rd >= 1.5, V need not be greater than [Vmax]: = 2/3 * S(0.2) * Ie * W / ( Ro * Rd ) = 2/3 * * * / ( * ) = lb. Sample Force Calculation for the first Element [F]: = ( (V-Ft) * Wx * Hx / (Sum of Wi * hi )) * Scalar = ( ( ) * * / ( )) * = 3.7 lb. The Natural Frequency for the Vessel (Ope...) is Hz. Earthquake Load Calculation Earthquake Earthquake Element Element From To Height Weight Ope Load Emp Load ft. lb. lb. lb PV Elite 2008 c by COADE Engineering Software

25 Wind/Earthquake Shear, Bending Step: 10 3:04p Oct 23, The following table is for the Operating Case. Wind/Earthquake Shear, Bending Distance to Cummulative Earthquake Wind Earthquake From To Support Wind Shear Shear Bending Bending ft. lb. lb. ft.lb. ft.lb PV Elite 2008 c by COADE Engineering Software

26 Wind Deflection Step: 11 3:04p Oct 23, Wind Deflection Calculations: The following table is for the Operating Case. Wind Deflection Cumulative Centroid Elem. End Elem. Ang. From To Wind Shear Deflection Deflection Rotation lb. in. in Critical Wind Velocity for Tower Vibration 1st Crit. 2nd Crit. From To Wind Speed Wind Speed mile/hr mile/hr Allowable deflection at the Tower Top (Ope)( 6.000"/100ft. Criteria) Allowable deflection : Actual Deflection : in. PV Elite 2008 c by COADE Engineering Software

27 Longitudinal Stress Constants Step: 12 3:04p Oct 23, Longitudinal Stress Constants Metal Area Metal Area New & Cold Corroded From To New & Cold Corroded Sect. Mod. Sect. Mod. sq.in. sq.in. in.3 in PV Elite 2008 c by COADE Engineering Software

28 Longitudinal Allowable Stresses Step: 13 3:04p Oct 23, Longitudinal Allowable Stresses All. Str. All. Str. All. Str. All. Str. From To Long. Ten. Hydr. Ten. Long. Com. Hyr. Comp. psi psi psi psi PV Elite 2008 c by COADE Engineering Software

29 Longitudinal Stresses Due to... Step: 14 3:04p Oct 23, Longitudinal Stress Report Note: Longitudinal Operating and Empty Stresses are computed in the corroded condition. Stresses due to loads in the hydrostatic test cases have been computed in the new and cold condition. Longitudinal Stresses Due to... Long. Str. Long. Str. Long. Str. From To Int. Pres. Ext. Pres. Hyd. Pres. psi psi psi Longitudinal Stresses Due to... Wght. Str. Wght. Str. Wght. Str. Wght. Str. Wght. Str. From To Empty Operating Hydrotest Emp. Mom. Opr. Mom. psi psi psi psi psi Longitudinal Stresses Due to... Wght. Str. Bend. Str. Bend. Str. Bend. Str. Bend. Str. From To Hyd. Mom. Oper. Wind Oper. Equ. Hyd. Wind Hyd. Equ. psi psi psi psi psi Longitudinal Stresses Due to... Long. Str. Long. Str. Long. Str. EarthQuake From To Vortex Ope. Vortex Emp. Vortex Tst. Empty psi psi psi psi Longitudinal Stresses Due to... Long. Str. Long. Str. From To Y Forces W Y ForceS S psi psi

30 Longitudinal Stresses Due to... Step: 14 3:04p Oct 23, Long. Stresses due to User Forces and Moments Wind For/Mom Eqk For/Mom Wnd For/Mom Eqk For/Mom From To Corroded Corroded No Corr. No Corr. psi psi psi psi PV Elite 2008 c by COADE Engineering Software

31 Stress due to Combined Loads Step: 15 3:04p Oct 23, Stress Combination Load Cases for Vertical Vessels: Load Case Definition Key IP = Longitudinal Stress due to Internal Pressure EP = Longitudinal Stress due to External Pressure HP = Longitudinal Stress due to Hydrotest Pressure NP = No Pressure EW = Longitudinal Stress due to Weight (No Liquid) OW = Longitudinal Stress due to Weight (Operating) HW = Longitudinal Stress due to Weight (Hydrotest) WI = Bending Stress due to Wind Moment (Operating) EQ = Bending Stress due to Earthquake Moment (Operating) EE = Bending Stress due to Earthquake Moment (Empty) HI = Bending Stress due to Wind Moment (Hydrotest) HE = Bending Stress due to Earthquake Moment (Hydrotest) WE = Bending Stress due to Wind Moment (Empty) (no CA) WF = Bending Stress due to Wind Moment (Filled) (no CA) CW = Longitudinal Stress due to Weight (Empty) (no CA) VO = Bending Stress due to Vortex Shedding Loads ( Ope ) VE = Bending Stress due to Vortex Shedding Loads ( Emp ) VF = Bending Stress due to Vortex Shedding Loads ( Test No CA. ) FW = Axial Stress due to Vertical Forces for the Wind Case FS = Axial Stress due to Vertical Forces for the Seismic Case BW = Bending Stress due to Lat. Forces for the Wind Case, Corroded BS = Bending Stress due to Lat. Forces for the Seismic Case, Corroded BN = Bending Stress due to Lat. Forces for the Wind Case, UnCorroded BU = Bending Stress due to Lat. Forces for the Seismic Case, UnCorroded General Notes: Case types HI and HE are in the Un-Corroded condition. Case types WE, WF, and CW are in the Un-Corroded condition. A blank stress and stress ratio indicates that the corresponding stress comprising those components that did not contribute to that type of stress. An asterisk (*) in the final column denotes overstress. Analysis of Load Case 1 : NP+EW+WI+FW+BW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 2 : NP+EW+EE+FS+BS From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio

32 Stress due to Combined Loads Step: 15 3:04p Oct 23, Analysis of Load Case 3 : NP+OW+WI+FW+BW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 4 : NP+OW+EQ+FS+BS From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 5 : NP+HW+HI From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 6 : NP+HW+HE From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 7 : IP+OW+WI+FW+BW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 8 : IP+OW+EQ+FS+BS From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio

33 Stress due to Combined Loads Step: 15 3:04p Oct 23, Analysis of Load Case 9 : EP+OW+WI+FW+BW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 10 : EP+OW+EQ+FS+BS From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 11 : HP+HW+HI From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 12 : HP+HW+HE From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 13 : IP+WE+EW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 14 : IP+WF+CW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio

34 Stress due to Combined Loads Step: 15 3:04p Oct 23, Analysis of Load Case 15 : IP+VO+OW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 16 : IP+VE+EW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 17 : NP+VO+OW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 18 : FS+BS+IP+OW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Analysis of Load Case 19 : FS+BS+EP+OW From Tensile All. Tens. Comp. All. Comp. Tens. Comp. Node Stress Stress Stress Stress Ratio Ratio Absolute Maximum of the all of the Stress Ratio's Governing Element: Btm Head Governing Load Case 7 : IP+OW+WI+FW+BW PV Elite 2008 c by COADE Engineering Software