901_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 901_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 11.9-9 Determine the allowable axial load for a steel pipe column that is fixed at the base and free at the top (see figure) for each of the following lengths: L 6 ft, 9 ft, 12 ft, and 15 ft. The column has outside diameter d 6.625 in. and wall thickness t 0.280 in. (Assume E 29,000 ksi and 36 ksi.) Probs. 11.9-9 through 11.9-12 s Y P allow SECTION 11.9 Design Formulas for Columns 895 Solution 11.9-9 Steel pipe column Fixed-free column ( ). Use AISC formulas. E 29,000 ksi s Y 36 ksi r A I A 2.2455 a KL r b max 200 I p 64 ( d 2 4 d 1 4 ) 28.142 in. 4 A p 4 ( d 2 2 d 1 2 ) 5.5814 in. 2 d 2 6.625 in. t 0.280 in. d 1 6.065 in. K 2 L c 126.1 r K 141.6 in. 11.8 ft Eq. (11-76): a KL r b c A 2 p 2 E s Y 126.1 L 6 ft 9 ft 12 ft 15 ft KL/r 64.13 96.19 128.3 160.3 n 1 (Eq. 11-79) 1.841
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Unformatted text preview: 1.897--n 2 (Eq. 11-80)--1.917 1.917 (Eq. 11-81) s allow / s Y 0.4730 0.3737--(Eq.11-82) s allow / s Y--0.2519 0.1614 s allow (Ksi) 17.03 13.45 9.078 5.810 P allow ± A s allow 95.0 k 75.1 k 50.7 k 32.4 k P L A A Section A-A t d Problem 11.9-10 Determine the allowable axial load P allow for a steel pipe column that is fixed at the base and free at the top (see figure) for each of the following lengths: L ± 2.6 m, 2.8 m, 3.0 m, and 3.2 m. The column has outside diameter d ± 140 mm and wall thickness t ± 7 mm. (Assume E ± 200 GPa and .) s Y ± 250 MPa 11Ch11.qxd 9/27/08 2:27 PM Page 895...
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