674CHAPTER 8Applications of Plane StressProblem *8.4-12Solve the preceding problem for a cross section mnlocated 0.18 m from the support if L±0.75 m,M±65 kN m, h±120 mm, and b±20 mm.#2×1031×103–1×103σ.1(y)σ.2(y)τmax (y)Prin. stresses (psi)–2×103–3–3–2.5–2–1.5–1–0.50ydist. y (in.)0.511.522.5330Problem *8.4-11A simple beam of rectangular cross section hasspan length L±62 in. and supports a concentrated momentM±560 k-in at midspan (see figure). The height of the beamis h±6 in. and the width is b±2.5 in.Plot graphs of the principal stresses s1and s2and themaximum shear stress tmax, showing how they vary over theheight of the beam at cross section mn, which is located 24 in.from the left-hand support.Probs. 8.4-11 and 8.4-12L2—Mat hLbmnSolution 8.4-11M±560 k in.L ±62 in.c±24 in.b±2.5 in.h±6 in.
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