871_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

871_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 11Ch11.qxd 9/27/08 3:39 PM Page 865 SECTION 11.4 Columns with Other Support Conditions 865 Solution 11.4-4 W 250 * 89 L E 7.5 m 200 GPa n (3) FIXED-PINNED 2.5 Pallow 48.3 * 106 mm4 I2 Pallow (1) PINNED-PINNED Pallow Pallow p2EI2 Pallow nL2 ; 1387 kN (4) FIXED-FIED 2 nL Pallow ; 678 kN Pallow (2) FIXED-FREE Pallow 2.046p2EI2 4p2EI2 nL2 ; 2712 kN p2EI2 4nL2 ; 169.5 kN Problem 11.4-5 The upper end of a W 8 * 21 wide-flange steel column (E 30 * 103 ksi) is supported laterally between two pipes (see figure). The pipes are not attached to the column, and friction between the pipes and the column is unreliable. The base of the column provides a fixed support, and the column is 13 ft long. Determine the critical load for the column, considering Euler buckling in the plane of the web and also perpendicular to the plane of the web. W8 Solution 11.4-5 Wide-flange steel column W 8 * 21 E L 13 ft I2 9.77 in.4 AXIS 1-1 (FIXED-FREE) 30 * 103 ksi 156 in. I1 4 75.3 in. Pcr p2 EI1 4L2 229 k AXIS 2-2 (FIXED-PINNED) Pcr 2.046p2 EI2 L2 243 k Buckling about axis 1-1 governs. Pcr 229 k ; 21 ...
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