680_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

680_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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674 CHAPTER 8 Applications of Plane Stress Problem *8.4-12 Solve the preceding problem for a cross section mn located 0.18 m from the support if L ± 0.75 m, M ± 65 kN m, h ± 120 mm, and b ± 20 mm. # 2 × 10 3 1 × 10 3 –1 × 10 3 σ . 1 (y) σ . 2 (y) τ max (y) Prin. stresses (psi) –2 × 10 3 –3 –3 –2.5 –2 –1.5 –1 –0.5 0 y dist. y (in.) 0.5 1 1.5 2 2.5 3 3 0 Problem *8.4-11 A simple beam of rectangular cross section has span length L ± 62 in. and supports a concentrated moment M ± 560 k-in at midspan (see figure). The height of the beam is h ± 6 in. and the width is b ± 2.5 in. Plot graphs of the principal stresses s 1 and s 2 and the maximum shear stress t max , showing how they vary over the height of the beam at cross section mn , which is located 24 in. from the left-hand support. Probs. 8.4-11 and 8.4-12 L 2 M at h L b m n Solution 8.4-11 M ± 560 k in. L ± 62 in. c ± 24 in. b ± 2.5 in. h ± 6 in.
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