828_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

828_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 10Ch10.qxd 9/27/08 822 7:36 AM Page 822 CHAPTER 10 Statically Indeterminate Beams Solution 10.4-13 Beam supported by a beam Let RB interaction force between beams Select RB as the redundant. (dB) 2 (dB)1 COMPATIBILITY (dB)3 40P 17 Substitute and solve: RB ; RELEASED STRUCTURE AND FORCE-DISPL. EQS. SYMMETRY AND EQUILIBRIUM RD RE RA P RB 2 RD 20P 17 ; 23P 17 RE ; (minus means downward) MA L RB a b 2 BEAM ABC: M max PL 2 MB ; PL 2 MB BEAM DE: M max M max 3PL 17 PL 5PL 17 ; Problem 10.4-14 A three-span continuous beam ABCD with three equal spans supports a uniform load of intensity q (see figure). Determine all reactions of this beam and drawn the shear-force and bending-moment diagrams, labeling all critical ordinates. q A RA Solution 10.4-14 Three-span continuous beam SELECT RB AND RC AS THE REDUNDANTS. SYMMENTRY AND EQUILIBRIUM RC RB RA RD 3qL 2 RB RELEASED STRUCTURE B L RB D C L L RC RD ...
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