Unformatted text preview: k , and the vertical deflection d at the end of the beam. Solution 5.44 Cantilever beam A B M d L L 5 length of beam L 5 1.5 m Â« max 5 0.001 k 5 1 r 5 0.01333 m 2 1 âˆ´ r 5 y e max 5 75 mm 0.001 5 75 m y 5 75 mm ÃŠ e max 5 y r A C B M d L r r u â€² L 5 length of 90Âº bend L 5 46 ft 5 552 in. d 5 4.5 in. L 5 2 p r 4 5 p r 2 Assume that the deflection curve is nearly flat. Then the distance BC is the same as the length L of the beam. u 5 arcsin 0.02 5 0.02 rad d 5 r (1 2 cos u ) 5 (75 m)(1 2 cos (0.02 rad)) 5 15.0 mm N OTE : which confirms that the deflection curve is nearly flat. L d 5 100, âˆ´ sin u 5 L r 5 1.5 m 75 m 5 0.02 APDF Split DEMO : Purchase from www.APDF.com to remove the watermark...
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 Spring '08
 Armanios
 deflection curve, Cantilever Beam, cantilever beam AB

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