900_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

900_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 11.9-7 Determine the allowable axial load for a steel pipe column with pinned ends having an outside diameter of and wall thickness of for each of the following lengths: , and . (Assume and .) s Y ± 36 ksi E ± 29,000 ksi 24 ft 12 ft, 18 ft L ± 6 ft, 0.237 in. 4.5 in. P allow 894 CHAPTER 11 Columns Solution 11.9.7 Steel pipe column Pinned ends ( ). Use AISC formulas. L c ± 126.1 r ± 190.4 in. ± 15.9 ft Eq. (11-76): a L r b c ± A 2 p 2 E s Y ± 126.1 E ± 29,000 ksi s Y ± 36 ksi r ± A I A ± 1.5095 in. a L r b max ± 200 I ± p 64 ( d 2 4 ² d 1 4 ) ± 7.2326 in. 4 A ± p 4 ( d 2 2 ² d 1 2 ) ± 3.1740 in. 2 d 2 ± 4.5 in. t ± 0.237 in. d 1 ± 4.026 in. K ± 1 L 6 ft 12 ft 18 ft 24 ft L/r 47.70 95.39 143.1 190.8 n 1 (Eq. 11-79) 1.802 1.896 - - n 2 (Eq. 11-80) - - 1.917 1.917 (Eq. 11-81) s allow / s Y 0.5153 0.3765 - - (Eq. 11-82) s allow / s Y - - 0.2026 0.1140 s allow (ksi) 18.55 13.55 7.293 4.102 P allow ± A s allow 58.9 k 43.0 k 23.1 k 13.0 k Problem 11.9-8 Determine the allowable axial load for a steel pipe column with pinned ends having an outside diameter of 220 mm and wall thickness of 12 mm for each of the following
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Unformatted text preview: lengths: L ± 2.5 m, 5 m, 7.5 m, and 10 m. (Assume E ± 200 GPa and .) s Y ± 250 MPa P allow Solution 11.9.8 Steel pipe column Pinned ends ( ). Use AISC formulas. L c ± 125.7 r ± 9257 mm ± 9.26 m Eq. (11-76): a L r b c ± A 2 p 2 E s Y ± 125.7 E ± 200 GPa s Y ± 250 MPa r ± A I A ± 73.661 mm a L r b max ± 200 I ± p 64 ( d 2 4 ² d 1 4 ) ± 42.548 mm * 10 6 mm 4 A ± p 4 ( d 2 2 ² d 1 2 ) ± 7841.4 mm 2 d 2 ± 220 mm t ± 12 mm d 1 ± 196 mm K ± 1 L 2.5 m 5.0 m 7.5 m 10.0 m L/r 33.94 67.88 101.8 135.8 (Eq. 11-79) n 1 1.765 1.850 1.904-(Eq. 11-80) n 2---1.917 (Eq. 11-81) s allow / s Y 0.5458 0.4618 0.3528-(Eq. 11-82) s allow / s Y---0.2235 s allow (MPa) 136.4 115.5 88.20 55.89 P allow ± A s allow 1070 kN 905 kN 692 kN 438 kN 11Ch11.qxd 9/27/08 2:27 PM Page 894...
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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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