고체역학 (Beer) — Shearing Stresses in Beams: Problem 6.22

6.22 For the beam and loading shown, consider section n–n and determine the shearing stress at (a) point a, (b) point b. Given Data: Beam is simply supported at A and B. Two concentrated loads of \(200\text{ kN}\) are applied at \(0.75\text{ m}\) from each support. Distance between loads: \(1.2\text{ m}\). Total length of beam: \(0.75 + 1.2 + 0.75 = 2.7\text{ m}\). Section \(n-n\) is located in the region between support A and the first \(200\text{ kN}\) load. Cross-section dimensions: Horizontal flange: width \(b_f = 75 + 75 + 75 = 225\text{ mm}\), thickness \(t_f = 50\text{ mm}\). Vertical web: width \(t_w = 75\text{ mm}\), height \(h_w = 150\text{ mm}\). Total height: \(H = 150 + 50 = 200\text{ mm}\). Point \(a\) is \(50\text{ mm}\) below the top of the web. Point \(b\) is \(100\text{ mm}\) below the top of the web.