820_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

820_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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814 CHAPTER 10 Statically Indeterminate Beams B ENDING MOMENTS ±² q c 1 2 x 2 ² 2 Lx + 2 L 2 d ( L x 2 L ) M ± R A x ² M A ² q x 2 2 + R B 1 x ² L 2 (0 x L ) M ± R A x ² M A ² q x 2 2 q c 1 2 x 2 ² 7 L 12 x + 7 L 2 12 d S HEAR FORCE AND BENDING MOMENT DIAGRAMS M V qL 7 L /12 –5 qL /12 7 qL /12 7 L /12 0 q L L 17 qL /12 7 qL /12 7 qL 2 /12 –7 qL 2 /12 qL 2 /2 –.413 qL 2 Problem 10.4-6 A propped cantilever beam of length 2 L is loaded by a uniformly distributed load with intensity q . The beam is supported at B by a linearly elastic rotational spring with stiffness k R , which provides a resisting moment M B due to rotation . Use the method of superposition to solve for all reactions. Also draw shear-force and bending-moment diagrams, labeling
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