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879_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 879_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Solution 11.5-3 Column with eccentric loads Column has pinned ends. Use E Q . (11-49): From Eq. (11-45): F OR P 0.3 P cr : 1.7207 From Eq. (11-52): kL p A P P cr p 1 0.3 M Pe a tan kL 2 sin kx + cos kx b ; M Pe P e a tan kL 2 sin kx + cos kx 1 b or ( NOTE: kL and kx are in radians) B ENDING - MOMENT DIAGRAM FOR P 0.3 P cr M Pe 1.162 a sin 1.721 x L b + cos 1.721 x L ; M Pe a tan 1.7207 2 b a sin 1.7207 x L b + cos 1.7207 x L SECTION 11.5 Columns with Eccentric Axial Loads 873 Problem 11.5-4 Plot the load-deflection diagram for a pinned-end column with eccentric axial loads (see figure) if the eccentricity e of the load is 5 mm and the column has length L 3.6 m, moment of inertia , and modulus of elasticity E 210 GPa. Note: Plot the axial load as ordinate and the deflection at the

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