823_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 823_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 10Ch10.qxd 9/27/08 7:32 AM Page 817 817 SECTION 10.4 Method of Superposition SHEAR-FORCE AND BENDING-MOMENT DIAGRAMS (dB)1 11qL4 12EI (dB)2 4RBL3 9EI COMPATIBILITY dB (dB)1 4 11qL 12EI (dB)2 4RBL 9EI 0 3 0 RB 33qL 16 ; OTHER REACTIONS (FROM EQUILIBRIUM) RA qL 8 Rc 13qL 16 ; Problem 10.4-9 Beam ABC is fixed at support A and rests (at point B) upon the midpoint of beam DE (see the first part of the figure). Thus, beam ABC may be represented as a propped cantilever beam with an overhang BC and a linearly elastic support of stiffness k at point B (see the second part of the figure). The distance from A to B is L 10 ft, the distance from B to C is L/2 5 ft, and the length of beam DE is L 10 ft. Both beams have the same flexural rigidity EI. A concentrated load P 1700 lb acts at the free end of beam ABC. Determine the reactions RA, RB, and MA for beam ABC. Also, draw the shear-force and bending-moment diagrams for beam ABC, labeling all critical ordinates. E P A B C D P = 1700 lb MA B A k RA RB L = 10 ft L — = 5 ft 2 C ...
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