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Design shear near a direct support

Reduction of loads applied close to a support and the design shear at d from the face. Reference: EN 1992-1-1 6.2.1(8), 6.2.2(6).

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# Inputs
w_Ed := 75 kN/m
L := 6 m
d := 500 mm
t := 300 mm
F_Ed := 150 kN
a_v := 600 mm

# Shear
V_face := w_Ed*(L/2 - t/2) = kN
V_d := V_face - w_Ed*d = kN
beta := max(a_v/(2*d), 0.25) =
V_point := beta*F_Ed = kN
V_Ed := V_d + V_point = kN

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More Eurocode 2 sheets on shear and torsion

The same topic in IS 456