739_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

739_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 09Ch09.qxd 9/27/08 1:32 PM Page 733 SECTION 9.5 Method of Superposition Load No. 2: Table G-1, Case 2 uB q 2L 3 ab 6EI 3 dB q 2L 3 a b a 4L 24EI 3 23qL4 648EI SUPERPOSITION: Original load q L3 ab 6EI 3 2L b 3 7qL3 162EI ; q L3 a b a 4L 24EI 3 ; Load No. 1 minus Load No. 2 Problem 9.5-7 The cantilever beam ACB shown in the figure has 2.5 k 35 k-in. flexural rigidity EI 2.1 106 k-in.2 Calculate the downward deflections dC and dB at points C and B, respectively, due to the simultaneous action of the moment of 35 k-in. applied at point C and the concentrated load of 2.5 k applied at the free end B. A B C 48 in. 48 in. Solution 9.5-7 Cantilever beam (two loads) dB L PL3 b+ 2 3EI M0(L/2) a 2L 2EI 3M0L2 PL3 + ( 8EI 3EI downward deflection) SUBSTITUTE NUMERICAL VALUES: dC 106 k-in.2 EI 2.1 M0 35 k-in. P dB 96 in. P(L/2)2 M0(L/2)2 + a 3L 2EI 6EI M0L2 5PL3 + ( 8EI 48EI 0.05760 in. 0.293 in. Table G-1, Cases 4, 6, and 7 dC 0.01920 in. 0.0905 in. 2.5 k L 733 L b 2 downward deflection) 0.10971 in. ; 0.35109 in. ; L b 3 ...
View Full Document

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.

Ask a homework question - tutors are online