A column ABC is supported at ends A and C and compressed by an axial load P (figure (a)). Lateral support is provided at point B but only in the plane of the figure; lateral support perpendicular to the plane of the figure is provided only at A and C. The column is constructed of two channel sections (C 6 x 8.2) back to back (see figure (b)). The modulus of elasticity of the column is E = 29,100 ksi and the proportional limit is 50 ksi. The height of the column is L = 13 ft. P L 3 B 2L X X 3 Section X-X A (a) (b) P=D=D== =====

A column ABC is supported at ends A and C and compressed by an axial load P (figure (a)). Lateral support is provided at point B but only in the plane of the figure; lateral support perpendicular to the plane of the figure is provided only at A and C. The column is constructed of two channel sections (C 6 x 8.2) back to back (see figure (b)). The modulus of elasticity of the column is E = 29,100 ksi and the proportional limit is 50 ksi. The height of the column is L = 13 ft. P L 3 B 2L X X 3 Section X-X A (a) (b) P=D=D== =====

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.3.7P: A column ABC is supported at ends A and C and compressed by an axial load P (figure a). Lateral...

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A column ABC is supported at ends A and C and compressed by an axial load P (figure a). Lateral support is provided at point B but only in the plane of the figure; lateral support perpendicular to the plane of the figure is provided only at A and C. The column is constructed of two channel sections (C 6 × 8.2) back to back (see figure b). The modulus of elasticity of the column is E = 29,500 ksi and the proportional limit is 50 ksi. The height of the column is L = 15 ft. Find the allowable value of load P using a factor of safety of 2.5.
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