1. The aluminum W310x202 (wide flange) column is subjected to an eccentric axial load P as...
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1. The aluminum W310x202 (wide flange) column is subjected to an eccentric axial load P as shown. The maximum compressive stress in the column is given by the so-called secant formula: Omax = [1 + (ec/r²) sec ((L/2r) √5/E)] ō Where the average stress ō = P/A, cross-sectional area of the column A = 25800mm², load eccentricity e = 85mm, half-depth of the column c = 170mm, radius of gyration of the cross section r = 142mm, the column length L = 7100mm, and modulus of elasticity E = 71 × 109 Pa. Determine the maximum load P that the column can carry if the maximum stress is not to exceed 120 x 106 Pa. Hint: use a root-finding method. P L 1. The aluminum W310x202 (wide flange) column is subjected to an eccentric axial load P as shown. The maximum compressive stress in the column is given by the so-called secant formula: Omax = [1 + (ec/r²) sec ((L/2r) √5/E)] ō Where the average stress ō = P/A, cross-sectional area of the column A = 25800mm², load eccentricity e = 85mm, half-depth of the column c = 170mm, radius of gyration of the cross section r = 142mm, the column length L = 7100mm, and modulus of elasticity E = 71 × 109 Pa. Determine the maximum load P that the column can carry if the maximum stress is not to exceed 120 x 106 Pa. Hint: use a root-finding method. P L
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Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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