An axial load P is applied to the W10 3 30 rolled-steel

Chapter 10, Problem 10.43

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An axial load P is applied to the W10 3 30 rolled-steel column BCthat is free at its top C and fixed at its base B. Knowing that theeccentricity of the load is e 5 0.5 in. and that for the grade of steelused sY 5 36 ksi and E 5 29 3 106 psi, determine (a) the magnitudeof P of the allowable load when a factor of safety of 2.4 withrespect to permanent deformation is required, (b) the ratio of theload found in part a to the magnitude of the allowable centric loadfor the column. (Hint: Since the factor of safety must be appliedto the load P, not to the stress, use Fig. 10.23 to determine PY).

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