Gere & Goodno — Stresses in Beams (Basic Topics): Problem 5.5-21

5.5-21 A cantilever beam, a UPN 300 section, is subjected to its own weight and a point load at \(B\). Find the maximum permissible value of load \(P\) at \(B\) (kN) if the allowable stress in tension and compression is \(\sigma_a = 125\) MPa. Given parameters from the figure: Beam length: \(L = 2.75\) m Uniformly distributed load (including own weight): \(q = 425\) N/m Cross-section (UPN 300): height \(h = 300\) mm, width \(b = 100\) mm, flange thickness \(t_f = 16\) mm, web thickness \(t_w = 10\) mm.