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830_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

830_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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824 CHAPTER 10 Statically Indeterminate Beams Problem 10.4-15 A beam rests on supports at A and B and is loaded by a distributed load with intensity q as shown. A small gap exists between the unloaded beam and the support at C . Assume that span length and flexural rigidity of the beam Plot a graph of the bending moment at B as a function of the load intensity q . ( HINT: See Example 9-9 for guidance on computing the deflection at C .) EI 0.4 * 10 9 lb-in. 2 L 40 in. ¢ L L ( δ C ) 1 q ( δ C ) 2 R C Solution 10.4-15 Select R C as the redundant. E QUILIBRIUM R ELEASED STRUCTURE AND FORCE - DISPLACEMENT RELATIONS
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Unformatted text preview: q Ú 250 lb/ in. M B ( q ) ± R A L ² qL 2 2 ± ² 200 q ² 150000 lb # in. ‹ R C ( q ) ± 15 q ² 3750 for ( d C ) 1 ± 0.4 in. 2) d C ± ( d C ) 1 ² ( d C ) 2 ± 0.4 in. M B ( q ) ± ² qL 2 2 ± ² 800 q lb # in. for q 6 250 lb/in. 1) d C ± ( d C ) 1 for ( d C ) 1 6 0.4 in. ‹ R C ( q ) ± 0 ( d C ) 2 ± 2 L 3 3 EI R C ( d C ) 1 ± qL 4 4 EI Moment at B (lb-in.) M B ( q ) Moment at B –3.10 5 –2.10 5 –1.10 5 100 200 300 400 500 q q (lb/in.) A C B R A R B R C L L q x y ³ = 0.4 in. 10Ch10.qxd 9/27/08 7:36 AM Page 824...
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