5. Mathcad - Pipe Gusset Plate

download 5. Mathcad - Pipe Gusset Plate

of 4

description

pipe gusset plate design in mathcad

Transcript of 5. Mathcad - Pipe Gusset Plate

  • 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

  • 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

  • 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

  • SEA FASTENING CALCULATIONS FOR EVAPORATOR ON DB-1

    PIPE GUSSET DESIGN

    UCcompressionFbPn

    0.51

    Page 4 of 4