840_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

840_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 10Ch10.qxd 9/27/08 834 7:36 AM Page 834 CHAPTER 10 Statically Indeterminate Beams FROM EQUILIBRIUM: SHEAR-FORCE AND BENDING-MOMENT DIAGRAMS * RA P 1344 + 13 k a b 32 72 + k * RC 3P 64 k* a b 32 72 + k * ; ; NUMERICAL VALUES 6912 * 106 lb-in.2 EI L 16 ft 192 in. k P 62,500 lb/in. 6000 lb 3 k* kL EI RA 64 3000 lb RB RC ; 3000 1b ; 0 Problem 10.4-24 A fixed-end beam AB of length L is subjected to a q uniform load of intensity q acting over the middle region of the beam (see figure). (a) Obtain a formula for the fixed-end moments MA and MB in terms of the load q, the length L, and the length b of the loaded part of the beam. (b) Plot a graph of the fixed-end moment MA versus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MA 2 qL /12 versus B A MB MA RA a b L b L with the raio b/L varying between its extreme values of 0 and 1. (c) For the special case in which a b L /3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates. Solution 10.4-24 Fixed-end Beam FROM EXAMPLE 10-4, EQ. (10-25a): MA MB RA RB a L b 2 qb 2 MA Pa1b 2 1 L2 a RB ...
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