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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
6EI 3 dB q
a b a 4L
Original load q L3
162EI ; q
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)
3EI downward deflection) SUBSTITUTE NUMERICAL VALUES:
dC 106 k-in.2 EI 2.1 M0 35 k-in. P dB 96 in.
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
2 downward deflection) 0.10971 in.
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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.
- Fall '11