5. Mathcad - Pipe Gusset Plate
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Transcript of 5. Mathcad - Pipe Gusset Plate
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SEA FASTENING CALCULATIONS FOR EVAPORATOR ON DB-1
PIPE GUSSET DESIGN
Yield Strength of Pad-Eye Plate Fyp 50ksiUltimate strength of pad-eye plate Fup 65ksi For ASTM A572 Gr.Modulus of Elasticity of steel E 20000MPaWeld Ultimate Strength of E70xx electrode assumed Fuw 70ksiYield stress of pin for Gr.55 Pin Fypin 340MPaDiameter of pin dpin 100mmLength of pad-eye plate Lp 300mmThickness of pad-eye plate tp 40mm
Radius of main plate Rp 160mm
Hole diameter provided dhole 103mm
"Hole diameter is O.K." dhole max dpin 3mm 100mm if"Hole dimater is not sufficient" otherwise
"Hole diameter is O.K."
Edge distance of pin lc 160mmForce in Brace Fb 1037.59kN Maximum for longitudinal brace
Check for Pin
Force normal to pin Fnpin Fb 1037.59 kN
Nominal shear strength of pin Rnvp 0.6 Fypin 204 MPa
Allowable stress factor for shear 1.67
Allowable shear stress in pin FnvpRnvp
122.16 MPa
Actual shear stress in pin fnvpFnpin
21
4dpin
2 66.06 MPa For double shear
UCpinfnvpFnvp
0.54
Checks for pad-eye Plate
Shear Rupture
Net area subject to shear Anv Rpdhole
2
tp 2 8680 mm2
Page 1 of 4
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SEA FASTENING CALCULATIONS FOR EVAPORATOR ON DB-1
PIPE GUSSET DESIGN
Nominal strength in shear rupture Rnv 0.6 Fup Anv 2334.01 kN
Allowable stress factor for shear 2.0
Allowable shear strength of pad-eye plate FnvRnv
1167.01 kN
UCshear_ruptureFbFnv
0.89
Tensile Rupture
Net area subjected to tension Ant 2 Rp dhole tp 8680 mm2Nominal strength in tensile rupture Rnt 0.6 Fup Ant 2334.01 kN
Allowable stress factor for tension 2.0
Allowable tensile strength of pad-eye plate FnvRnt
1167.01 kN
UCtensile_ruptureFbFnv
0.89
Bearing check of Pin on plate
Projected area in bearing Apb dpin tp 4000 mm2
Nominal bearing strength of pad-eye plate and pin Rnb 1.8 min Fyp Fypin Apb 2448 kNAllowable stress factor for bearing 2.0
Allowable bearing strength of pad-eye plate or pin FnbRnb
1224 kN
UCbearingFbFnb
0.85
Weld Checking with Tubular
Slotted length Ls 300mm
Number of fillet weld lines n 4
Page 2 of 4
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SEA FASTENING CALCULATIONS FOR EVAPORATOR ON DB-1
PIPE GUSSET DESIGN
Weld thickness tweld 12mm
Total weld area Aweld 0.707 tweld n Ls 10180.8 mm2
Shear stress in weld FwFb
Aweld101.92 MPa
UCweldFw
0.3 Fuw0.7
Buckling Check for Gusset Plate
Effective length factor kgp 0.5
Area of plate A Lp tp 12000 mm2
Major axis Moment of Inertial of gusset plate
Igpxtp Lp
312
90000000 mm4
Minor axis Moment of Inertial of gusset plate
Igpytp
3 Lp12
1600000 mm4
minimum radius of gyration rmin Igpx Igpy
A11.55 mm
Slenderness ratio kkgp 180mm
dhole2
r5.56
Elastic Buckling Stress Fe
2 Ek2
6375.62 MPa
Critical Buckling Stress Fcr 0.658
FypFe Fyp
k 4.71 EFypif
0.877 Fe otherwise
337.02 MPa
Nominal Compressive Stress Pn Fcr A 4044.28 kN
Page 3 of 4
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SEA FASTENING CALCULATIONS FOR EVAPORATOR ON DB-1
PIPE GUSSET DESIGN
UCcompressionFbPn
0.51
Page 4 of 4