09-01ChapGere.0001

09-01ChapGere.0001 - x LEI v 5 2 q x 360 LEI (7 L 4 2 10 L...

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Differential Equations of the Deflection Curve The beams described in the problems for Section 9.2 have constant flexural rigidity EI. Problem 9.2-1 The deflection curve for a simple beam AB (see figure) is given by the following equation: v 52 (7 L 4 2 10 L 2 x 2 1 3 x 4 ) Describe the load acting on the beam. Solution 9.2-1 Simple beam q 0 x } 360 LEI 9 Deflections of Beams y x A B L Take four consecutive derivatives and obtain: From Eq. (9-12c): The load is a downward triangular load of maximum intensity q 0 . q 52 EIv –– 5 q 0 x L v –– 52 q
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Unformatted text preview: x LEI v 5 2 q x 360 LEI (7 L 4 2 10 L 2 x 2 1 3 x 4 ) L q Problem 9.2-2 The deflection curve for a simple beam AB (see figure) is given by the following equation: v 5 2 sin } p L x } (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 L 4 } p 4 EI Probs. 9.2-1 and 9.2-2 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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