Calculation of Trunnion (KELLOGG's Method) Input Data 1/8 9952T 8"-P-510-0148-B5A-N 510-CN-1119/2010 Project N° : Line N° : NC/Node : Material Header Outside Diameter (mm) : Thickness of pipe (mm) : Thickness of pad (mm) : 219,08 8,1788 0 Sh : Allowable Stress at Hot Temperature (Mpa) : Sc : Allowable Stress at Room Temperature (Mpa): Corrosion Allowance (mm) : Mill Tolerance ( % ) : Trunnion Outside Diameter (mm) : Thickness of pipe (mm) : Effective length (mm) : 137,9 137,9 1,5 12,5 Design Conditions 168,28 7,112 615 Design Temperature(°C): Design Pressure (Kg/cm2g): Upset Pressure (Kg/cm2g): 80 22,5 0 Test Pressure 33,75 (Kg/cm2g): Loading in N FA FC FL Case FC FL FA Weight + Pressure Weight + Design Pressure+ Thermal ( Operating ) Weight + Upset Pressure + Thermal ( Upset ) Weight + Design Pressure + Impact ( Occasional ) Weight + Test Pressure (Test condition) 96 109 282 1511 0 0 6402 5036 0 0 7340 0 0 124 STRESSES RESULTS HEADER STRESSES (Mpa) Case Longitudinal W+P N/A W+P+T (Ope) Passed W+P+T (Upset) Passed W+P+Impact Load(Occ) Passed W+P (Test) N/A TRUNNION STRESSES (Mpa) Circumferential Case W+P W+P+T (Ope) W+P+T (Upset) W+P+Impact Load(Occ) W +P (Test) Passed Passed N/A N/A Passed HEADER STRESSES (Mpa) Case Longitudinal W+P N/A W+P+T (Ope) 72,83 W+P+T (Upset) 21,79 W+P+Impact Load(Occ) 21,79 W+P (Test) N/A TRUNNION STRESSES (Mpa) Circumfer1 Circumfer2 N/A 59,32 N/A N/A N/A Equivalent Stress Passed Passed N/A N/A Passed 71,4 N/A N/A N/A 96,9 Allowable 137,9 206,9 206,9 183,4 137,9 Case W+P W+P+T (Ope) W+P+T (Upset) W+P+Impact Load(Occ) W+P (Test) Trunnion Check_Node 710 Equivalent Stress 1,49 7,59 0,00 0,00 1,67 309 2/8 CALCULATION SHEET FOR TRUNNIONS 9952T 8"-P-510-0148-B5A-N Project N° : Line N° : NC/Node : 510-CN-1119/2010 Design Temperature (°C) Design pressure (barg ) Upset pressure ( Barg ) ( if required ) 33,75 Test pressure ( Barg ) Material 137,9 Allowable Stress at Metal Temp (Mpa) 137,9 Allowable Stress at Room Temp (Mpa) 1,5 Corrosion allowance ( mm ) 12,5 Mill tolerance ( % ) Header 219,075 Outside diameter (mm) 8,1788 Thickness of pipe+pad (mm) Trunnion 168,275 Outside diameter ( mm ) 7,112 Thickness ( mm ) 615 Effective lenght ( mm ) Loads in N 80 22,5 0 Circumferential Longitudinal loading loading ==>Upset pressure in Barg ==>Thickness included (mm) ==>Thickness included ( mm ) Radial Loading 96 282 6402 109 1511 5036 0 0 0 0 0 0 124 309 7340 Weight + Design Pressure Weight+Design Pressure+Thermal (Normal) Weight+Upset Pressure+Thermal (Upset) Weight+Design Pressure+Impact Load (Occasional) Weight +Test Pressure ( Test condition ) Trunnion Check_Node 710 22,5 5,65645 6,223 3/8 STRESS CALCULATION Header stresses ( Weight+Pressure ) 59040,00 173430,00 6402,00 2,65 7,80 12,11 Circumferential Moment Mc ( Nmm ) Longitudinal Moment Ml ( Nmm ) Radial Load ( N ) fc Circumferential force ( N/mm ) fl Longitudinal force ( N/mm ) fa Axial force ( N/mm ) Condition fl/fc 2 If 0.5=< fl/fc =< 3 then apply condition 2 Else apply condition 1 2,94 Condition 1 N/A N/A f1 Longitudinal Bending ( N/mm ) f2 Circumferential Bending ( N/mm ) N/A N/A Sext Longitudinal Bending Stress ( Mpa ) Spl Longitudinal Pressure Stress ( Mpa) Ssum = Sext + Spl ( Mpa ) < SH = 137,90 Mpa Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) Ssum = Sext + Spc ( Mpa ) < SH = 137,90 Mpa < SH = 137,90 Mpa N/A N/A N/A N/A Condition 2 30,52 f2 Circumferential Bending ( N/mm ) 27,78 43,57 Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) Ssum = Sext + Spc ( Mpa ) 71,35 Trunnion Check_Node 710 4/8 Header stresses ( Th+W+P ) Normal 67035,00 929265,00 5036,00 3,01 41,78 9,53 Circumferential Moment Mc ( Nmm ) Longitudinal Moment Ml ( Nmm ) Radial Load ( N ) fc ( N/mm) fl ( N/mm) fa ( N/mm ) Condition fl/fc 1 If 0.5=< fl/fc =< 3 then apply condition 2 Else apply condition 1 13,86 Condition 1 56,07 17,30 f1 Longitudinal Bending ( N/mm ) f2 Circumferential Bending ( N/mm ) Sext Longitudinal Bending Stress ( Mpa ) Spl Longitudinal Pressure Stress ( Mpa) 72,83 Ssum = Sext + Spl ( Mpa ) <S= 206,85 Mpa Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) 59,32 Ssum = Sext + Spc ( Mpa ) <S= 206,85 Mpa <S= 206,85 Mpa 51,04 21,79 15,75 43,57 Condition 2 N/A f2 Circumferential Bending ( N/mm ) N/A Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) Ssum = Sext + Spc ( Mpa ) N/A N/A Trunnion Check_Node 710 5/8 Header stresses ( Th+W+P ) Upset 0,00 0,00 0,00 Circumferential Moment Mc ( Nmm ) Longitudinal Moment Ml ( Nmm ) Radial Load ( N ) 0,00 0,00 0,00 fc ( N/mm) fl ( N/mm) fa ( N/mm ) Condition fl/fc 1 If 0.5=< fl/fc =< 3 then apply condition 2 Else apply condition 1 10,00 Condition 1 0,00 0,00 f1 Longitudinal Bending ( N/mm ) f2 Circumferential Bending ( N/mm ) Sext Longitudinal Bending Stress ( Mpa ) Spl Longitudinal Pressure Stress ( Mpa) 21,79 Ssum = Sext + Spl ( Mpa ) 0,00 21,79 N/A N/A N/A Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) Ssum = Sext + Spc ( Mpa ) <S= 206,85 Mpa <S= 206,85 Mpa <S= 206,85 Mpa Condition 2 N/A f2 Circumferential Bending ( N/mm ) N/A Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) Ssum = Sext + Spc ( Mpa ) N/A N/A Trunnion Check_Node 710 6/8 Header stresses ( Weight+Pressure+Impact Load ) 0,00 0,00 0,00 Circumferential Moment Mc ( Nmm ) Longitudinal Moment Ml ( Nmm ) Radial Load ( N ) 0,00 0,00 0,00 fc Circumferential force ( N/mm ) fl Longitudinal force ( N/mm ) fa Axial force ( N/mm ) Condition fl/fc 1 If 0.5=< fl/fc =< 3 then apply condition 2 Else apply condition 1 10,00 Condition 1 0,00 0,00 f1 Longitudinal Bending ( N/mm ) f2 Circumferential Bending ( N/mm ) 0,00 21,79 Sext Longitudinal Bending Stress ( Mpa ) Spl Longitudinal Pressure Stress ( Mpa) Ssum = Sext + Spl ( Mpa ) < SH = 183,41 Mpa Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) Ssum = Sext + Spc ( Mpa ) < SH = 183,41 Mpa < SH = 183,41 Mpa 21,79 0,00 N/A N/A Condition 2 N/A f2 Circumferential Bending ( N/mm ) N/A N/A Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) Ssum = Sext + Spc ( Mpa ) N/A Trunnion Check_Node 710 7/8 Header stresses ( Test condition ) 76260,00 190035,00 7340,00 3,43 8,54 13,88 Circumferential Moment Mc ( Nmm ) Longitudinal Moment Ml ( Nmm ) Radial Load ( N ) fc ( N/mm) fl ( N/mm) fa ( N/mm ) Condition fl/fc 2 If 0.5=< fl/fc =< 3 then apply condition 2 Else apply condition 1 2,49 Condition 1 N/A N/A f1 Longitudinal Bending ( N/mm ) f2 Circumferential Bending ( N/mm ) N/A N/A Sext Longitudinal Bending Stress ( Mpa ) Spl Longitudinal Pressure Stress ( Mpa) Ssum = Sext + Spl ( Mpa ) <S= 137,90 Mpa Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) Ssum = Sext + Spc ( Mpa ) <S= 137,90 Mpa <S= 137,90 Mpa N/A N/A N/A N/A Condition 2 34,64 f2 Circumferential Bending ( N/mm ) Sext Circumferential Bending Stress ( Mpa ) Spc Circumferential Pressure Stress ( Mpa ) 96,89 Ssum = Sext + Spc ( Mpa ) 31,53 65,36 Trunnion Check_Node 710 8/8 Trunnion Stresses Trunnion stresses ( Weight + pressure) 183203,95 10415085,42 3168,14 1,48 0,09 Bending moment ( Nmm ) I ( mm4 ) Section ( mm2) Bending Stress ( Mpa ) Shear Stress ( Mpa ) 1,49 Equivalent Stress (Mpa) <S= 137,90 Mpa <S= 206,85 Mpa <S= 206,85 Mpa Trunnion stresses ( W+Th+P ) Normal 931679,74 7,53 0,48 Bending moment ( Nmm ) Bending Stress ( Mpa ) Shear Stress ( Mpa ) 7,59 Equivalent Stress (Mpa) Trunnion stresses ( W+Th+P ) Upset 0,00 Bending moment ( Nmm ) 0,00 0,00 Bending Stress ( Mpa ) Shear Stress ( Mpa ) 0,00 Equivalent Stress (Mpa) Trunnion stresses ( Weight + pressure+Impact Load) 0,00 10415085,42 3168,14 0,00 0,00 Bending moment ( Nmm ) I ( mm4 ) Section ( mm2) Bending Stress ( Mpa ) Shear Stress ( Mpa ) 0,00 Equivalent Stress (Mpa) <S= 183,41 Mpa < SC = 137,90 Mpa Trunnion stresses ( Test condition ) 204765,45 1,65 0,11 Bending moment ( Nmm ) Bending Stress ( Mpa ) Shear Stress ( Mpa ) 1,67 Equivalent Stress (Mpa) Trunnion Check_Node 710