Mathcad - Calc Example for SB-2
4
WEB PLATE WELD TO TOP&BOTTOM PLATE DETAILED CALCULATION Weld calculations for other plates are similar. So they are tabulated after this detailed calculation Plate: 3431 t 12mm Plate thickness SecƟon modulus S t 2 6 0.24 cm 2 S x ,S y ,S xy : Membrane Stresses S x 30.317 MPa S y 0.061 MPa S xy 31.921 MPa M x ,M y ,M xy : Moments per unit width M x 0.021 kN m m M y 0.01 kN m m M xy 0.004 kN m m σ x , σ y , τ xy : Combined Stresses σ x.max max S x M x S S x M x S 29.44 MPa σ x.min min S x M x S S x M x S 31.19 MPa σ y.max max S y M y S S y M y S 0.36 MPa σ y.min min S y M y S S y M y S 0.48 MPa τ xy S xy M xy S 32.1 MPa T max : Maximum Shear Stresses τ max.1 τ xy 2 σ x.max σ y.max 2 4 35.38 MPa τ max.2 τ xy 2 σ x.max σ y.min 2 4 35.2 MPa τ max.3 τ xy 2 σ x.min σ y.max 2 4 35.76 MPa
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Transcript of Mathcad - Calc Example for SB-2
WEB PLATE WELD TO TOP&BOTTOM PLATE DETAILED CALCULATION
Weld calculations for other plates are similar. So they are tabulated after this detailed calculation
Plate: 3431
t 12mm Plate thickness
Sec on modulusS
t2
60.24 cm
2
Sx , Sy , Sxy : Membrane Stresses
Sx 30.317 MPa Sy 0.061 MPa Sxy 31.921 MPa
Mx , My , Mxy : Moments per unit width
Mx 0.021kN m
m My 0.01
kN m
m Mxy 0.004
kN m
m
σx , σy , τxy : Combined Stresses
σx.max max Sx
Mx
S
Sx
Mx
S
29.44 MPa
σx.min min Sx
Mx
S
Sx
Mx
S
31.19 MPa
σy.max max Sy
My
S
Sy
My
S
0.36 MPa
σy.min min Sy
My
S
Sy
My
S
0.48 MPa
τxy Sxy
Mxy
S 32.1 MPa
Tmax : Maximum Shear Stresses
τmax.1 τxy2
σx.max σy.max 24
35.38 MPa
τmax.2 τxy2
σx.max σy.min 24
35.2 MPa
τmax.3 τxy2
σx.min σy.max 24
35.76 MPa
τmax.4 τxy2
σx.min σy.min 24
35.57 MPa
τmax max τmax.1 τmax.2 τmax.3 τmax.4
τmax 35.8 MPa
Smax , Smin : Principal Stresses
Smax.1 τmax
σx.max σy.max 2
21.21 MPa
Smax.2 τmax
σx.max σy.min 2
20.795 MPa
Smax.3 τmax
σx.min σy.max 2
20.34 MPa
Smax.4 τmax
σx.min σy.min 2
19.92 MPa
Smax max Smax.1 Smax.2 Smax.3 Smax.4
Smax 21.21 MPa
Smin.1
σx.max σy.max 2
τmax 50.298 MPa
Smin.2
σx.max σy.min 2
τmax 50.72 MPa
Smin.3
σx.min σy.max 2
τmax 51.17 MPa
Smin.4
σx.min σy.min 2
τmax 51.59 MPa
Smin min Smin.1 Smin.2 Smin.3 Smin.4
Smin 51.6 MPa
VM : Von Mises Stress
VM 0.707 Smax Smin 2 Smax2 Smin
2
VM 64.84 MPa
Plate Weld C heck:
Top Plate
Web Plate
a
Lp,Lw
wtawt
awt 10mm Fillet weld thickness for top plate
t 12 mm Web Plate thickness
Lw 1m
Aw 2 0.7 Lw awt 140 cm2 Weld area per 1m length of plate
Lp 1m
Ap Lp t 120 cm2 Plate area per 1m length of plate
σabs.max 152.182MPa Max absolute stress in all web plates of Bridge Type-2 (See web plate excel calculation page)
Fp σabs.max Ap 205.3 tonf Force per 1m length of plate
σweld
Fp
Aw130.4 MPa
σallow. 250MPa Fillet weld allowable stress
Ratio σweld
σallow.0.52 OK( )
Bottom Plate
Web Plate
a
Lp,Lw
wbawb
awb 10mm Partial weld thickness for bottom plate
awb 0.7awt OK. No check necessary
σallow. 250MPa Partial weld allowable stress.
