고체역학 (Gere) — Stresses in Beams (Advanced Topics): Problem 6.8-1

6.8-1 A simple beam with a HE 220B wide-flange cross section supports a uniform load of intensity \( q = 45 \text{ kN/m} \) on a span of length \( L = 3.8 \text{ m} \) (see figure). The dimensions of the cross section are \( h = 220 \text{ mm} \), \( b = 220 \text{ mm} \), \( t_f = 16 \text{ mm} \), and \( t_w = 9.5 \text{ mm} \). (a) Calculate the maximum shear stress \( \tau_{\text{max}} \) on cross section \( A–A \) located at distance \( d = 0.75 \text{ m} \) from the end of the beam. (b) Calculate the shear stress \( \tau \) at point \( B \) on the cross section. Point \( B \) is located at a distance \( a = 38 \text{ mm} \) from the edge of the lower flange.