858_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

858_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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852 CHAPTER 11 Columns Solution 11.3-4 C OLUMN CD ( STEEL ) Square cross section: Factor of safety: I ± b 4 12 I ± 2.00 * 10 6 mm 4 n ± 2.0 b ± 70 mm E ± 200 GPa L ± 2.4 m d ± L 2 d ± 1.2 m Beam ACB ; M allow ± P allow d M allow ± 1143 kN # m © M A ± 0 M ± Pd P allow ± P cr n P allow ± 952.3 kN P cr ± p 2 EI (0.6 L ) 2 P cr ± 1905 kN Solution 11.3-3 Column with pinned supports steel column (a) B UCKLING ABOUT STRONG AXIS P cr ± p 2 EI 1 L 2 ± 650 k ; I 1 ± 248 in. 4 I 2 ± 53.4 in. 4 A ± 13.3 in. 2 L ± 28 ft ± 336 in. E ± 30 * 10 6 psi W 10 * 45 (b) B UCKLING ABOUT WEAK AXIS NOTE: Solution is satisfactory if s PL Ú 49 ksi s cr ± P cr A ± 650 k 13.3 in. 2 ± 49 ksi P cr ± p 2 EI 2 L 2 ± 140 k ; Problem 11.3-4 A horizontal beam AB is pin-supported at end A and carries a load Q at end B , as shown in the figure. The beam is supported at C by a pinned-end column of length L ; the column is restrained laterally at from the base at D . Assume the column can only buckle in the plane of the frame. The column is a solid steel bar of square cross section having length side dimensions . Let dimensions . Based upon the critical load of the column, determine the allowable
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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