904_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

904_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 11Ch11.qxd 9/27/08 898 2:27 PM Page 898 CHAPTER 11 Columns Problem 11.9-14 A steel column used in a college recreation center are 16.75 m long and are formed by welding three wide-flange sections (see figure). The columns are pin-supported at the ends and may buckle in any direction. Calculate the allowable load Pallow for one column, assuming E 200 GPa and sY 250 MPa. W 310 129 W 610 W 310 129 Solution 11.9-14 200 GPa sy 16.75 m E L W 310 * 129 A1 I1 1 16500 mm 6 4 308 * 10 mm 2 318 mm 2 2A1 + A2 17.9 mm Iy 2 I2–1 + I1–2 h d1 tw + 2 2 Iz r Lc r AA Iy 2p2 E A sy r 3a n1 5 + 3 2p 2 E b A sy 1 ≥1 n1 sallow h sy sallow 165 mm 125.664 KL 3 b r Pallow A sallow 8a 2p2 E 3 b A sy a KL 2 b r 2p2 E 2 2a b A sy ¥ 88.31 MPa 168 mm 1.731 * 109 mm4 a KL b r 1.904 8a 2.350 * 109 mm4 I2–2 + 2 1I1–1 A1h22 Iz Iz Lc L 6 r r 101.694 184 * 106 mm4 63800 mm2 A L r n1 tw For built-up column: A 1 100 * 106 mm4 1 2150 * 106 mm4 I2 250 MPa K d1 30800 mm2 W 610 * 241 A2 I1 I2 2 Pallow 5634 kN ; 241 ...
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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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