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714_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

714_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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708 CHAPTER 9 Deflections of Beams Problem 9.2-2 The deflection curve for a simple beam AB (see figure) is given by the following equation: (a) Describe the load acting on the beam. (b) Determine the reactions R A and R B at the supports. (c) Determine the maximum bending moment M max . q 0 L 4 p 4 EI sin p x L Solution 9.2-2 Simple beam (a) L OAD (E Q . 9-12c) The load has the shape of a sine curve, acts downward, and has maximum intensity q 0 . ; q EI –– q 0 sin p x L ; –– q 0 EI sin p x L –¿ q 0 L p EI cos p x L q 0 L 2 p 2 EI sin p x L ¿ q 0 L 3 p 3 EI cos p x L q 0 L 4 p 4 EI sin p x L (b) R EACTIONS (E Q . 9-12b) (c) M AXIMUM BENDING MOMENT (E Q . 9-12a)
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