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442_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

442_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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436 CHAPTER 5 Stresses in Beams (Basic Topics) s ( x ) M ( x ) S ( x ) M ( x ) Px + M 0 + 1 2 a x L q 0 b x x 3 S ( x ) b c h A a 1 + x 2 L b d 2 6 Simplifying Solve for x max Max. stress & stress at B F IND MAX . MOMENT AND STRESS AT LOCATION OF MAX . MOMENT ; s max s m 1.215 s m s ( x m ) s m 1017 psi x m A P (2 L ) q 0 x m 16.33 in. d dx M ( x ) 0 d dx a Px + M 0 q 0 x 3 6 L b 0 s B s (20) s B 867 psi ; s max 1235 psi s max s ( x max ) ; x max 4.642 in. + x 3 q 0 + 12 M 0 L 0 12 PL 2 + 6 PxL + 6 x 2 q 0 L 4 x 3 q 0 ) * L bh A 2 (2 L + x ) 3 d 0 L bh A 2 (2 L + x ) 2 2 (24 PxL + 24 M 0 L d dx s ( x ) c1 24 PL 12 x 2 q 0 2 d dx s ( x ) 0 then solve for x max 0 10 20 500 1000 1500 M(x) (in.-lb)
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