822_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

822_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 10Ch10.qxd 9/27/08 816 7:32 AM Page 816 CHAPTER 10 Statically Indeterminate Beams Solution 10.4-7 Fixed-end beam (triangular load) (uA)1 (uA)2 Select MA and MB as redundants. COMPATIBILITY uA SYMMETRY MA Substitute for (uA)1 and (uA) 2 and solve for MA: EQUILIBRIUM RA MB RA RB RB q0 L/4 ; MA MB 5q0L2 96 0 ; RELEASED STRUCTURE AND FORCE-DISPLACEMENT RELATIONS SHEAR-FORCE AND BENDING-MOMENT DIAGRAMS q0L — 4 V O q0L –— 4 M1 M x0 O 5q0L2 –— 96 M1 x0 5q0L2 –— 96 q0L2 32 0.2231L Problem 10.4-8 A continuous beam ABC with two unequal spans, one of length L and one of length 2L, supports a uniform load of intensity q (see figure). Determine the reactions RA, RB, and RC for this beam. Also, draw the shear-force and bending-moment diagrams, labeling all critical ordinates. q A RA C B L RB 2L RC Solution 10.4-8 Continuous beam with two spans Select RB as the redundant. RELEASED STRUCTURE AND FORCE-DISPLACEMENT RELATIONS EQUILIBRIUM RA 3qL 2 2 R 3B Rc 3qL 2 1 R 3B ...
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