740_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

740_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 9/27/08 734 1:32 PM Page 734 CHAPTER 9 Deflections of Beams Problem 9.5-8 A beam ABCD consisting of a simple span BD and an L — 3 L — 2 overhang AB is loaded by a force P acting at the end of the bracket CEF (see figure). 2L — 3 B F D C E A (a) Determine the deflection dA at the end of the overhang. (b) Under what conditions is this deflection upward? Under what conditions is it downward? P a Solution 9.5-8 Beam with bracket and overhang Consider part BD of the beam. (a) DEFLECTION AT THE END OF THE OVERHANG dA PL2 (10L 324 EI L uB a b 2 ( ; 9a) upward deflection) a 10 (b) Deflection is upward when 6 and downward L 9 10 a ; when 7 L 9 M0 Pa Table G-2, Cases 5 and 9 uB P(L/3)(2L/3)(5L/3) 6LEI + L2 Pa c6a b 6LEI 3 PL (10L 162EI 9a) ( 3a L2 b 9 2L2 d clockwise angle) Problem 9.5-9 A horizontal load P acts at end C of the bracket C ABC shown in the figure. (a) Determine the deflection dC of point C. (b) Determine the maximum upward deflection dmax of member AB. Note: Assume that the flexural rigidity EI is constant throughout the frame. Also, disregard the effects of axial deformations and consider only the effects of bending due to the load P. P H B A L ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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