Lifting Trunnion Calculations sample

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Lifting Trunnion Calculations

Note: PVElite performs all calculations internally in U.S. Customary Units to remain compliant with the ASME Code and any built in assumptions in the ASME Code formulae. The U.S. Customary material database is used for consistency. Finalized results are converted to the user set of selected units using conversion constants with adequate significant digits.

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PV Elite 2016 SP1 Licensee: PHILS HEAVY ENGG PVT LTD FileName : 100-R-201-A-B

Leg & Lug Analysis Trunnion - V Item: 1 11:20a Nov 30,2016

Input Echo, Leg & Lug Item 1, Description: Trunnion - V Design Internal Pressure 0.00 kgf/cm^2 Design Temperature for Attachment TEMP 40.00 C Vessel Outside Diameter OD 3140.000 mm Vessel Wall Thickness Ts 95.0000 mm Vessel Corrosion Allowance Cas 1.5000 mm Vessel Material SA-516 70

Vessel Material UNS Number K02700

Vessel Allowable Stress at Design S 138.00 N/mm^2 Analysis Type: Trunnion

Empty Weight of Vessel Wemp 570000.00 N Operating Weight of Vessel (vertical load ) W 0.00 N Trunnion Material SA-516 70

Trunnion Material UNS Number K02700 Trunnion Yield Stress SY 245.45 N/mm^2 Trunnion Outside Diameter TOD 324.000 mm Trunnion Thickness TTHK 16.0000 mm Trunnion Length TL 200.0000 mm Bail/Sling Width TT 100.0000 mm Ring Outside Diameter Rod 525.00 mm Ring Thickness Rthk 16.00 mm Trunnion Type Hollow

Lift Orientation Vertical Impact Factor Impfac 1.50

Force Along Vessel Axis Fax 285000.00 N Force Normal to Vessel Fn 0.00 N Force Tangential to Vessel Ft 0.00 N Perform WRC-107 Analysis on the Trunnion Yes Occasional Load Factor (AISC A5.2) Occfac 1.00 Results for Trunnions, Description : Trunnion - V

Trunnion Lifting Load [Tlf]: = ((Fa^2 + Ft^2)^1/2)

= ((285000.00^2 + 0.00^2)^1/2) * 1.50 = 427500.00 N

Z = pi * (TOD^4 - TID^4) / (32.0 * TOD)

= 3.14 * ( 324.00^4 - 292.00^4) / (32.0 * 324.00 ) = 1136285.75 mm ^3

Trunnion Bending Moment [Tmom]: = (TL - 0.5 * TT)/1.000* Tlf

= ( 200.00 - 0.5 * 100.00 )/1.000 * 427500.00 = 64150.99 N-m

Trunnion Calculated Bending Stress [SBC]: = TMOM * 1.000/ Z

= 64150.99 *1.000/ 1136285

= 56.44 N/mm^2[Passed] SBC < Min(0.66* SY* Occfac, .75* SY) (162.00)

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Trunnion Cross Section Area [Txsa]: = pi / 4 * (TOD^2- TID^2)

= 3.14 /4 * ( 324.00^2- 292.00^2) = 15481.77 mm^2

Trunnion Calculated Shear Stress [SSC]: = Tlf / Txsa

= 427500.00 / 15481.77

= 27.61 N/mm^2[Passed] SSC < 0.4 * SY * Occfac (98.18) Trunnion Unity Check [UCHK]:

= SBC / SBA + SSC / SSA

= 56.44 / 162.00 + 27.61 / 98.18

= 0.63 [Passed] UCHK, Must be less than 1. Trunnion Bearing Contact Area [Tbca]: = TOD * TT

= 324.00 * 100.00 = 32400.00 mm^2

Trunnion Bearing Stress [SBEC]: = Tlf / Tbca

= 427500.00 / 32400.00

= 13.20 N/mm^2[Passed] SBEC < Min(0.75* SY* Occfac, 0.9* SY) (184.09) Results of WRC-107 Analysis on the trunnion:

WRC 107 Stress Calculation for OCCasional loads: Radial Load P 0.0 N Circumferential Shear VC 0.0 N Longitudinal Shear VL 427500.0 N Circumferential Moment MC 0.0 N-m Longitudinal Moment ML 64151.0 N-m Torsional Moment MT 0.0 N-m Dimensionless Parameters used : Gamma = 16.29

Dimensionless Loads for Cylindrical Shells at Attachment Junction:

Curves read for 1979 Beta Figure Value Location

N(PHI) / ( P/Rm ) 0.093 4C 3.121 (A,B) N(PHI) / ( P/Rm ) 0.093 3C 2.987 (C,D) M(PHI) / ( P ) 0.093 2C1 0.134 (A,B) M(PHI) / ( P ) 0.093 1C 0.168 (C,D)

N(PHI) / ( MC/(Rm**2 * Beta) ) 0.093 3A 0.298 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.093 1A 0.102 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.093 3B 1.104 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.093 1B 0.056 (A,B,C,D) N(x) / ( P/Rm ) 0.093 3C 2.987 (A,B) N(x) / ( P/Rm ) 0.093 4C 3.121 (C,D) M(x) / ( P ) 0.093 1C1 0.173 (A,B) M(x) / ( P ) 0.093 2C 0.134 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.093 4A 0.390 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.093 2A 0.060 (A,B,C,D) 5

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N(x) / ( ML/(Rm**2 * Beta) ) 0.093 4B 0.282 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.093 2B 0.091 (A,B,C,D) Stress Concentration Factors Kn = 1.00, Kb = 1.00

Stresses in the Vessel at the Attachment Junction | Stress Values at | | ( N/mm2) | Type of | | Stress Load| Au Al Bu Bl Cu Cl Du Dl | Circ. Memb. P | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Circ. Bend. P | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Circ. Memb. MC | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Circ. Memb. MC | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Circ. Memb. ML | -3.5 -3.5 3.5 3.5 0.0 0.0 0.0 0.0| Circ. Bend. ML | -17.4 17.4 17.4 -17.4 0.0 0.0 0.0 0.0| | | Tot. Circ. Str.| -20.9 13.9 20.9 -13.9 0.0 0.0 0.0 0.0| Long. Memb. P | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Long. Bend. P | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Long. Memb. MC | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Long. Bend. MC | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Long. Memb. ML | -0.9 -0.9 0.9 0.9 0.0 0.0 0.0 0.0| Long. Bend. ML | -28.3 28.3 28.3 -28.3 0.0 0.0 0.0 0.0| | | Tot. Long. Str.| -29.2 27.4 29.2 -27.4 0.0 0.0 0.0 0.0| Shear VC | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Shear VL | 0.0 0.0 0.0 0.0 -9.0 -9.0 9.0 9.0| Shear MT | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| | | Tot. Shear| 0.0 0.0 0.0 0.0 -9.0 -9.0 9.0 9.0| Str. Int. | 29.2 27.4 29.2 27.4 18.0 18.0 18.0 18.0| SUMMARY OF RESULTS:

Trunnion unity check value: 0.6296

Actual Allowable Pass/Fail

Bending Stress (N/mm^2) 56.44 162.00 Pass Shear Stress (N/mm^2) 27.61 98.18 Pass Bearing Stress (N/mm^2) 13.20 184.09 Pass Vessel Maximum Stress Intensity Comparison:

At Nozzle Edge: 29.19 Allowable: 1.5 * S: 207.00 N/mm^2[Passed]

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2016

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Leg & Lug Analysis Trunnion - H Item: 2 11:20a Nov 30,2016

Input Echo, Leg & Lug Item 2, Description: Trunnion - H Design Internal Pressure 0.00 kgf/cm^2 Design Temperature for Attachment TEMP 40.00 C Vessel Outside Diameter OD 3140.000 mm Vessel Wall Thickness Ts 95.0000 mm Vessel Corrosion Allowance Cas 1.5000 mm Vessel Material SA-516 70

Vessel Material UNS Number K02700

Vessel Allowable Stress at Design S 138.00 N/mm^2 Analysis Type: Trunnion

Empty Weight of Vessel Wemp 570000.00 N Operating Weight of Vessel (vertical load ) W 0.00 N Trunnion Material SA-516 70

Trunnion Material UNS Number K02700 Trunnion Yield Stress SY 245.45 N/mm^2 Trunnion Outside Diameter TOD 324.000 mm Trunnion Thickness TTHK 16.0000 mm Trunnion Length TL 200.0000 mm Bail/Sling Width TT 100.0000 mm Ring Outside Diameter Rod 525.00 mm Ring Thickness Rthk 16.00 mm Trunnion Type Hollow

Lift Orientation Horizontal Impact Factor Impfac 1.50 Force Along Vessel Axis Fax 0.00 N Force Normal to Vessel Fn 0.00 N Force Tangential to Vessel Ft 245000.00 N Perform WRC-107 Analysis on the Trunnion Yes Occasional Load Factor (AISC A5.2) Occfac 1.00 Results for Trunnions, Description : Trunnion - H

Trunnion Lifting Load [Tlf]: = ((Fa^2 + Ft^2)^1/2)

= ((0.00^2 + 245000.00^2)^1/2) * 1.50 = 367500.00 N

Z = pi * (TOD^4 - TID^4) / (32.0 * TOD)

= 3.14 * ( 324.00^4 - 292.00^4) / (32.0 * 324.00 ) = 1136285.75 mm ^3

Trunnion Bending Moment [Tmom]: = (TL - 0.5 * TT)/1.000* Tlf

= ( 200.00 - 0.5 * 100.00 )/1.000 * 367500.00 = 55147.35 N-m

Trunnion Calculated Bending Stress [SBC]: = TMOM * 1.000/ Z

= 55147.35 *1.000/ 1136285

= 48.52 N/mm^2[Passed] SBC < Min(0.66* SY* Occfac, .75* SY) (162.00)

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Trunnion Cross Section Area [Txsa]: = pi / 4 * (TOD^2- TID^2)

= 3.14 /4 * ( 324.00^2- 292.00^2) = 15481.77 mm^2

Trunnion Calculated Shear Stress [SSC]: = Tlf / Txsa

= 367500.00 / 15481.77

= 23.74 N/mm^2[Passed] SSC < 0.4 * SY * Occfac (98.18) Trunnion Unity Check [UCHK]:

= SBC / SBA + SSC / SSA

= 48.52 / 162.00 + 23.74 / 98.18

= 0.54 [Passed] UCHK, Must be less than 1. Trunnion Bearing Contact Area [Tbca]: = TOD * TT

= 324.00 * 100.00 = 32400.00 mm^2

Trunnion Bearing Stress [SBEC]: = Tlf / Tbca

= 367500.00 / 32400.00

= 11.34 N/mm^2[Passed] SBEC < Min(0.75* SY* Occfac, 0.9* SY) (184.09) Results of WRC-107 Analysis on the trunnion:

WRC 107 Stress Calculation for OCCasional loads: Radial Load P 0.0 N Circumferential Shear VC -367500.0 N Longitudinal Shear VL 0.0 N Circumferential Moment MC 55147.3 N-m Longitudinal Moment ML 0.0 N-m Torsional Moment MT 0.0 N-m Dimensionless Parameters used : Gamma = 16.29

Dimensionless Loads for Cylindrical Shells at Attachment Junction:

Curves read for 1979 Beta Figure Value Location

N(PHI) / ( P/Rm ) 0.093 4C 3.121 (A,B) N(PHI) / ( P/Rm ) 0.093 3C 2.987 (C,D) M(PHI) / ( P ) 0.093 2C1 0.134 (A,B) M(PHI) / ( P ) 0.093 1C 0.168 (C,D)

N(PHI) / ( MC/(Rm**2 * Beta) ) 0.093 3A 0.298 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.093 1A 0.102 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.093 3B 1.104 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.093 1B 0.056 (A,B,C,D) N(x) / ( P/Rm ) 0.093 3C 2.987 (A,B) N(x) / ( P/Rm ) 0.093 4C 3.121 (C,D) M(x) / ( P ) 0.093 1C1 0.173 (A,B) M(x) / ( P ) 0.093 2C 0.134 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.093 4A 0.390 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.093 2A 0.060 (A,B,C,D) 8

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N(x) / ( ML/(Rm**2 * Beta) ) 0.093 4B 0.282 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.093 2B 0.091 (A,B,C,D) Stress Concentration Factors Kn = 1.00, Kb = 1.00

Stresses in the Vessel at the Attachment Junction | Stress Values at | | ( N/mm2) | Type of | | Stress Load| Au Al Bu Bl Cu Cl Du Dl | Circ. Memb. P | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Circ. Bend. P | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Circ. Memb. MC | 0.0 0.0 0.0 0.0 -0.8 -0.8 0.8 0.8| Circ. Memb. MC | 0.0 0.0 0.0 0.0 -27.4 27.4 27.4 -27.4| Circ. Memb. ML | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Circ. Bend. ML | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| | | Tot. Circ. Str.| 0.0 0.0 0.0 0.0 -28.2 26.5 28.2 -26.5| Long. Memb. P | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Long. Bend. P | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Long. Memb. MC | 0.0 0.0 0.0 0.0 -1.1 -1.1 1.1 1.1| Long. Bend. MC | 0.0 0.0 0.0 0.0 -16.1 16.1 16.1 -16.1| Long. Memb. ML | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Long. Bend. ML | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| | | Tot. Long. Str.| 0.0 0.0 0.0 0.0 -17.2 15.0 17.2 -15.0| Shear VC | -7.7 -7.7 7.7 7.7 0.0 0.0 0.0 0.0| Shear VL | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| Shear MT | 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0| | | Tot. Shear| -7.7 -7.7 7.7 7.7 0.0 0.0 0.0 0.0| Str. Int. | 15.4 15.4 15.4 15.4 28.2 26.5 28.2 26.5| SUMMARY OF RESULTS:

Trunnion unity check value: 0.5413

Actual Allowable Pass/Fail

Bending Stress (N/mm^2) 48.52 162.00 Pass Shear Stress (N/mm^2) 23.74 98.18 Pass Bearing Stress (N/mm^2) 11.34 184.09 Pass Vessel Maximum Stress Intensity Comparison:

At Nozzle Edge: 28.17 Allowable: 1.5 * S: 207.00 N/mm^2[Passed]

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Vessel Results Summary Item: 1 11:20a Nov 30,2016

Leg Lug Results Summary for Item 1 : Trunnion - V

The Vessel outside diameter is 3140.000 mm The Trunnion outside diameter is 324.000 mm Force along Vessel axis 285000.000 N Force normal to Vessel 0.000 N Force tangential to Vessel 0.000 N

Stress Results (N/mm^2): Actual Allowable Pass/Fail Max Vessel WRC-107 Stress at Nozzle 29.19 207.00 Passed Trunnion Bending Stress 56.44 162.00 Passed Trunnion Shear Stress 27.61 98.18 Passed Trunnion Unity Check 0.63 Must be < 1 Passed Trunnion Bearing Stress 13.20 184.09 Passed Leg Lug Results Summary for Item 2 : Trunnion - H

The Vessel outside diameter is 3140.000 mm The Trunnion outside diameter is 324.000 mm Force along Vessel axis 0.000 N

Force normal to Vessel 0.000 N Force tangential to Vessel 245000.000 N Stress Results (N/mm^2): Actual Allowable Pass/Fail Max Vessel WRC-107 Stress at Nozzle 28.17 207.00 Passed Trunnion Bending Stress 48.52 162.00 Passed Trunnion Shear Stress 23.74 98.18 Passed Trunnion Unity Check 0.54 Must be < 1 Passed Trunnion Bearing Stress 11.34 184.09 Passed

Lifting Trunnion Calculations sample

Lifting Trunnion Calculations

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