533_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

533_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 06Ch06.qxd 9/24/08 5:54 AM Page 527 SECTION 6.4 Beams with Inclined Loads Solution 6.4-11 Cantilever beam with inclined load (b) NEUTRAL AXIS nn (EQ. 6-23) u 180° + a tan b Iz Iy (see Fig. 6-15) Iz tan u Iy tan(180° + a) 88.6 tan(180° + a) 2.36 b P 500 lb L 9 ft 108 in. Iy 4 2.36 in. Iz 11.91 in. b arctan(37.54 tan a) ; 14 88.6 in. d W 12 37.54 tan a 4 3.970 in. BENDING MOMENTS My (P sin a)L 54,000 sin a Mz (P cos a)L 54,000 cos a (a) STRESS AT POINT A (EQ. 6-18) zA yA sA b/2 d/2 1.985 in. 5.955 in. MyzA Mz yA Iy Iz 45,420 sin a + 3629 cos a (psi) ; y Problem 6.4-12 A cantilever beam built up from two channel shapes, each C 200 17.1, and of length L supports an inclined load P at its free end (see figure). Determine the orientation of the neutral axis and calculate the maximum tensile stress smax due to the load P. Data for the beam are as follows: L 4.5 m, P 500 N, and a 30°. z C a P C 200 17.1 527 ...
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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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