# Beam check ```calc L := 6 m ``` ```calc q := 12 kN/m E := 210 GPa I := 8360 cm^4 W_el := 557 cm^3 f_y := 355 MPa ``` ```calc M_max := q*L^2/8 = ? V_max := q*L/2 = ? ``` ```calc σ := M_max/W_el = ? MPa U := σ/f_y = ? ``` ```calc δ := 5*q*L^4/(384*E*I) = ? δ_allow := L/360 = ? ``` ```calc check := if(δ <= δ_allow, "OK", "too flexible") = ? ``` ```calc M(x) := q*x*(L - x)/2 M(1.5 m) = ? M(L/2) = ? ``` ```plot title: Bending moment x: x = 0 m .. L x_unit: m traces: - y: M(x) unit: kN*m label: M ```