752_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 752_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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746 CHAPTER 9 Deflections of Beams Problem 9.6-2 The load on a cantilever beam AB has a triangular distribution with maximum intensity q 0 (see figure). Determine the angle of rotation u B and the deflection d B at the free end. L B q 0 A Solution 9.6-2 Cantilever beam (triangular load) DIAGRAM M EI D EFLECTION (These results agree with Case 8, Table G-1.) d B Q 1 q 0 L 4 30 EI (Downward) ; Q 1 A 1 x a q 0 L 3 24 EI b a 4 L 5 b q 0 L 4 30 EI Q 1 First moment of area A 1 with respect to B u A 0 u B q 0 L 3 24 EI (clockwise) ; u B / A u B u A A 1 q 0 L 3 24 EI x b ( n + 1) n + 2 4 L 5 Problem 9.6-3 A cantilever beam AB is subjected to a concentrated load P and a couple M 0 acting at the free end (see figure). Obtain formulas for the angle of rotation

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