A beam is subjected to equal 22.6 kip-ft bending moments. Assume t₁ = t₂=tw 2 in., d = 12 in., b₁ = 6 in., and b₂ = 8 in

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A Beam Is Subjected To Equal 22 6 Kip Ft Bending Moments Assume T T Tw 2 In D 12 In B 6 In And B 8 In 1 (81.3 KiB) Viewed 34 times

A beam is subjected to equal 22.6 kip-ft bending moments. Assume t₁ = t₂=tw 2 in., d = 12 in., b₁ = 6 in., and b₂ = 8 in. The cross- sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertia l about the z axis, and the controlling section modulus S₂ about the z axis. (b) the bending stress , at point H (positive if tension, negative if compression). (c) the bending stress OK at point K (positive if tension, negative if compression). (d) the maximum bending stress omax produced in the cross section (positive if tension, negative if compression). b₁ 11 H M M 12 Answers: (a) y = i (b) OH = (c) ok = (c) omax = i i i N X in., /₂ = i psi. psi. psi. tw b₂ Cross section K d in.4, S₂ = i in.³.