748_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

748_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 742 9/27/08 1:32 PM Page 742 CHAPTER 9 Deflections of Beams Solution 9.5-20 Compound beam BEAM BCD WITH A SUPPORT AT B ¿¿ dc 5q(2L)4 384EI ¿¿ dc 1 d 2B 5qL4 24EI ¿ dc downward displacement of point C due to dB DOWNWARD DISPLACEMENT OF POINT C dc BEAM BCD WITH A SUPPORT AT B c CANTILEVER BEAM AB dB qL4 (qL)L3 + 8EI 3EI 4 11qL 24EI (downward) ¿ dc 11qL4 48EI 5qL4 24EI ¿¿ dc clearance c 11qL4 48EI dC 7qL4 16EI 7qL4 16EI INTENSITY OF LOAD TO CLOSE THE GAP q 16EIc ; 7L4 Problem 9.5-21 Find the horizontal deflection dh and vertical deflection dn at the free end C of the frame ABC shown in the figure. (The flexural rigidity EI is constant throughout the frame.) Note: Disregard the effects of axial deformations and consider only the effects of bending due to the load P. P B C c b A Solution 9.5-21 Frame ABC MEMBER BC WITH B FIXED AGAINST ROTATION: MEMBER AB: dh Table G-1, Case 4: horizontal deflection of point B ¿ dc Table G-1, Case 6: dh (Pc)b2 2EI uB Pcb EI Pcb2 2EI VERTICAL DEFLECTION OF POINT C dc ‹ dh Pcb2 2EI ; dv ¿ dc uBC Pc3 3EI Pc2 (c + 3b) 3EI Since member BC does not change in length, dh is also the horizontal displacement of point C. Pc3 3EI d Pc2 (c 3EI 3b) ; Pcb (c) EI ...
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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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