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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)
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)
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
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°.
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.
- Fall '11