고체역학 (Beer) — Analysis and Design of Beams for Bending: Problem 5.88

5.88 Solve Prob. 5.87, assuming that the T-shaped beam is inverted. (Reference Prob. 5.87: Determine the largest permissible value of \(P\) for the beam and loading shown, knowing that the allowable normal stress is \(+8 \text{ ksi}\) in tension and \(-18 \text{ ksi}\) in compression. Beam geometry from Fig. P5.87: Simply supported beam \(AE\) with span \(140 \text{ in.}\) (supports at \(A\) and \(E\)). Distances: \(AB = 60 \text{ in.}\), \(BC = 10 \text{ in.}\), \(CD = 10 \text{ in.}\), \(DE = 60 \text{ in.}\) Downward loads of magnitude \(P\) are applied at points \(B\), \(C\), and \(D\). Cross-section from Fig. P5.87: T-shape with a flange \(7 \text{ in.}\) wide and \(1 \text{ in.}\) thick, and a web \(5 \text{ in.}\) high and \(1 \text{ in.}\) thick.)