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Tension member with bolt holes

Plastic resistance of the gross section and ultimate resistance of the net section of a flat in tension. Reference: EN 1993-1-1 6.2.3.

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Tension member with bolt holes: worked example sheet in Equation Pad with typeset equations and results.

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# Material
f_y := 355 MPa
f_u := 490 MPa
gamma_M0 := 1.0
gamma_M2 := 1.25

# Plate 200 x 12 with two holes in one cross-section
b_p := 200 mm
t_p := 12 mm
n_h := 2
d_0 := 22 mm
A_g := b_p*t_p = mm^2
A_net := A_g - n_h*d_0*t_p = mm^2

# Resistance
N_pl.Rd := A_g*f_y/gamma_M0 = kN
N_u.Rd := 0.9*A_net*f_u/gamma_M2 = kN
N_t.Rd := min(N_pl.Rd, N_u.Rd) =
N_Ed := 500 kN
N_Ed <= N_t.Rd =

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