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M 4₁ Ask b₂ Cross Section H K

M 4₁ Ask b₂ Cross Section H K

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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M Answers: (a) y = i (b)GH = (c) OK = (c) max i i M in., I₂ = i psi. psi. psi. 1₁ 12 Tw b₂ Cross section H K in.4, S₂ = i in.³.
Transcribed Image Text:M Answers: (a) y = i (b)GH = (c) OK = (c) max i i M in., I₂ = i psi. psi. psi. 1₁ 12 Tw b₂ Cross section H K in.4, S₂ = i in.³.
A beam is subjected to equal 15.8 kip-ft bending moments. Assume t₁ = t₂ = tw= 2 in., d = 14 in., b₁ = 6 in., and b₂ = 10 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 o 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 max produced in the cross section (positive if tension, negative if compression).
Transcribed Image Text:A beam is subjected to equal 15.8 kip-ft bending moments. Assume t₁ = t₂ = tw= 2 in., d = 14 in., b₁ = 6 in., and b₂ = 10 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 o 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 max produced in the cross section (positive if tension, negative if compression).
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