고체역학 (Beer) — Shearing Stresses in Beams: Problem 6.90

6.90 For the beam and loading shown, consider section n–n and determine (a) the largest shearing stress in that section, (b) the shearing stress at point a. Given values from diagrams: Beam type: Cantilever with length \(L = 1.5\text{ m}\) Point load: \(P = 10\text{ kN}\) at the free end Section \(n-n\): Located \(0.3\text{ m}\) from the fixed support Cross-section dimensions: Total height: \(H = 150\text{ mm}\) Total width (flanges): \(W = 200\text{ mm}\) Flange thickness: \(t_f = 12\text{ mm}\) Web thickness (narrow part): \(t_w = 12\text{ mm}\) Middle block width: \(b_m = 100\text{ mm}\) Middle block height: \(h_m = 40\text{ mm}\) Point \(a\): Located at the upper boundary of the middle block (\(y = 20\text{ mm}\))