고체역학 (Beer) — Analysis and Design of Beams for Bending: Problem 5.149

5.149 For the tapered beam shown, determine (a) the transverse section in which the maximum normal stress occurs, (b) the largest concentrated load \(P\) that can be applied, knowing that \(\sigma_{\text{all}} = 140 \text{ MPa}\). Given data from Figure P5.148 and P5.149: Beam width: \(b = 20 \text{ mm} = 0.02 \text{ m}\) Depth at ends \(A\) and \(B\): \(h_0 = 120 \text{ mm} = 0.12 \text{ m}\) Depth at center \(C\): \(h_C = 300 \text{ mm} = 0.30 \text{ m}\) Distance from \(A\) to \(C\): \(0.6 \text{ m}\) Distance from \(C\) to \(B\): \(0.6 \text{ m}\) Total beam length: \(L = 1.2 \text{ m}\)