09-01ChapGere.0002 - 548 A-PDF Deflections of Beams CHAPTER...

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Solution 9.2-2 Simple beam 548 CHAPTER 9 Deflections of Beams (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 52 EIv –– 5 q 0 sin p x L v ‡¿ q 0 EI sin p x L v 5 q 0 L p EI cos p x L v 5 q 0 L 2 p 2 EI sin p x L v ¿ q 0 L 3 p 3 EI cos p x L v q 0 L 4 p 4 EI sin p x L (b) R EACTIONS (E Q . 9-12b) At x 5 0: At x 5 L :; (c) M AXIMUM BENDING MOMENT (E Q . 9-12a) For maximum moment, M max 5 q 0 L 2 p 2 x 5 L 2 ; M 5 EIv 5 q 0 L 2 p 2 sin p x L R B 5 q 0 L p V R B q 0 L p V 5 R A q 0 L p V 5 EIv q 0 L p cos p x L L q 0 Problem 9.2-3 The deflection curve for a cantilever beam AB (see figure) is given by the following equation: v (10 L 3 2 10 L 2 x 1 5 Lx 2 2 x 3 ) Describe the load acting on the beam. Solution 9.2-3 Cantilever beam
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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