803_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 803_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 10.3 Differential Equations of the Deflection Curve 797 B ENDING MOMENT ( FROM EQ . 1) S LOPE ( FROM EQ . 2) D EFLECTION ( FROM EQ . 3) d max a L 2 b qL 4 384 EI qx 2 24 EI ( L x ) 2 ; ¿ qx 12 EI ( L 2 3 Lx + 2 x 2 ) ; M q 12 ( L 2 6 Lx + 6 x 2 ) ; S HEAR - FORCE AND BENDING - MOMENT DIAGRAMS Problem 10.3-3 A cantilever beam AB of length L has a fixed support at A and a roller support at B (see figure). The support at B is moved downward through a distance Using the fourth-order differential equation of the deflection curve (the load equation), determine the reactions of the beam and the equation of the deflection curve. ( Note: Express all results in terms of the imposed displacement .) d B d B . d B L A B x y R A M A R B Solution 10.3-3 Cantilever beam with imposed displacement

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