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Shear links by the variable strut inclination method

Strut angle, crushing check and link spacing for vertical links. Reference: EN 1992-1-1 6.2.3.

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Shear links by the variable strut inclination method: worked example sheet in Equation Pad with typeset equations and results.

Example only. This sheet shows one way to set out the check. It is not endorsed by the bodies that publish the design codes and does not reproduce them. Check every clause, value and assumption against your own copy of the current edition of Eurocode 2 and its national annex before you use it, and have the result checked by a competent person. See the disclaimer.

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# Inputs
f_ck := 30 MPa
f_ywk := 500 MPa
gamma_c := 1.5
gamma_s := 1.15
alpha_cc := 1.0
b_w := 300 mm
d := 550 mm
V_Ed := 420 kN

# Strut crushing
z := 0.9*d =
nu_1 := 0.6*(1 - f_ck/(250 MPa)) =
f_cd := alpha_cc*f_ck/gamma_c =
V_Rd.max25 := b_w*z*nu_1*f_cd/(2.5 + 1/2.5) = kN
V_Ed <= V_Rd.max25 =

# Links
cot_theta := 2.5
f_ywd := f_ywk/gamma_s =
A_sw := 2*pi/4*(10 mm)^2 = mm^2
s := A_sw*z*f_ywd*cot_theta/V_Ed = mm
s_max := 0.75*d =
s := min(s, s_max) =

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