833_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

833_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 10Ch10.qxd 9/27/08 7:36 AM Page 827 827 SECTION 10.4 Method of Superposition bt 2 6 S M max S s 62.4 lb/ft3 0.03611 lb/in.3 S Pressure p a q0 ga 3b M max pb 120 L2 bt 2 6 (20 L2 15 aL s 0.3750 b 3a2) M max S 191.05 b 509 psi ab Problem 10.4-18 Two identical, simply supported beams AB and CD are placed q so that they cross each other at their midpoints (see figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (M AB)max and (M CD)max in beams AB and CD, respectively, due to the uniform load it the intensity of the load is q 6.4 kN/m and the length of each beam is L 4 m . D A B C Solution 10.4-18 Two beams that cross F interaction force between the beams LOWER BEAM UPPER BEAM FL3 48EI dCD (dB)1 downward deflection due to q COMPATIBILITY dAB 5qL4 384EI (dB) 2 4 downward deflection due to F FL3 48EI dAB (dB)1 4 5qL 384EI 5qL 384EI FL3 48EI 3 FL 48EI UPPER BEAM (dB) 2 ; dCD 3 FL 48EI ‹F 5qL 16 ...
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