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Bolts in shear and bearing
Shear resistance of M20 class 8.8 bolts and bearing resistance of the connected plate for a four-bolt lap joint. Reference: EN 1993-1-8 3.6.1, Table 3.4.
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# Bolts M20, class 8.8
f_ub := 800 MPa
A_sb := 245 mm^2
d_b := 20 mm
d_0 := 22 mm
alpha_v := 0.6
gamma_M2 := 1.25
n_b := 4
# Plate
f_u := 490 MPa
t_p := 10 mm
e_1 := 40 mm
p_1 := 70 mm
e_2 := 40 mm
# Shear (one shear plane, threads in the plane)
F_v.Rd := alpha_v*f_ub*A_sb/gamma_M2 = kN
# Bearing (end bolt)
alpha_d := e_1/(3*d_0) =
alpha_b := min(alpha_d, f_ub/f_u, 1) =
k_1 := min(2.8*e_2/d_0 - 1.7, 2.5) =
F_b.Rd := k_1*alpha_b*f_u*d_b*t_p/gamma_M2 = kN
# Joint
F_Rd := n_b*min(F_v.Rd, F_b.Rd) = kN
F_Ed := 300 kN
F_Ed <= F_Rd =How to use this example
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