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896_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 896_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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890 CHAPTER 11 Columns Solution 11.9-2 Pinned ends Buckling about axis 2-2 n 2 ± NA NA 1.917 1.917 NA otherwise n 2 i 23 12 if K L i r 7 K L c r n 1 ± 1.795 1.889 NA NA 5 3 + 3 a K L i r b 8 a K L c r b a K L i r b 3 8 a K L c r b 3 otherwise n 1 i NA if K L i r 7 K L c r i 1 .. 4 L ± 3 m 6 m 9 m 12 m L r ± 38.462 76.923 115.385 153.846 L c 8.405 m L c r A 2 p 2 E s y L max 15.6 m L max 200 # r E 200 GPa s y 340 MPa A 16500 mm 2 r 2 78.0 mm r r 2 W 310 * 129 K 1 ; P allow ± 2927 2213 1276 718 kN for ± 3 m 6 m 9 m 12 m P allow i A s allow i s allow ± 177.366 134.135 77.355 43.512 MPa a K L c r b 2 2 n 2 i a K L i r b 2 otherwise s allow i s y 1 n l i 1 a K L
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Unformatted text preview: ² a K L i r b 2 2 a K L c r b 2 ¥ if K L i r … K L c r Problem 11.9-2 Determine the allowable axial load P allow for a W 310 ³ 129 steel wide-flange column with pinned ends (see figure) for each of the following lengths: L ± 3 m, 6 m, 9 m, and 12 m. (Assume and .) s Y ± 340 MPa E ± 200 GPa 11Ch11.qxd 9/27/08 2:27 PM Page 890...
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