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Shear at the interface between concrete cast at different times

Shear stress at a construction joint and the resistance of a rough interface with reinforcement across it. Reference: EN 1992-1-1 6.2.5.

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Shear at the interface between concrete cast at different times: worked example sheet in Equation Pad with typeset equations and results.

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# Inputs
V_Ed := 120 kN
beta := 1.0
z := 450 mm
b_i := 300 mm
f_ck := 30 MPa
f_yk := 500 MPa
gamma_c := 1.5
gamma_s := 1.15
c := 0.40
mu := 0.7
A_s := 2*pi/4*(10 mm)^2 = mm^2
s := 200 mm
sigma_n := 0 MPa
# c and mu for a rough interface.

# Stresses
v_Edi := beta*V_Ed/(z*b_i) = MPa
f_ctd := 0.7*0.30*(f_ck/(1 MPa))^(2/3)*1 MPa/gamma_c =
rho := A_s/(b_i*s) =
nu := 0.6*(1 - f_ck/(250 MPa)) =
v_Rdi := min(c*f_ctd + mu*sigma_n + rho*f_yk/gamma_s*mu, 0.5*nu*f_ck/gamma_c) =
v_Edi <= v_Rdi =

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More Eurocode 2 sheets on shear and torsion

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