910_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

910_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 11.9-23 An aluminum pipe column (alloy 6061-T6) that is fixed at the base and free at the top has outside diameter d 2 ± 3.25 in. and inside diameter d 1 ± 3.00 in. (see figure). Determine the allowable axial load P allow for each of the following lengths: L ± 2 ft, 3 ft, 4 ft, and 5 ft. 904 CHAPTER 11 Columns Solution 11.9-23 Aluminum pipe column Alloy 6061-T6 Pinned ends . r ± A I A ± 1.106 in. I ± p 64 ( d 2 4 ² d 1 4 ) ± 1.500 in. 4 A ± p 4 ( d 2 2 ² d 1 2 ) ± 1.227 in. 2 d 1 ± 3.00 in. d 2 ± 3.25 in. ( K ± 2) Use Eqs. (11-85 a and b ): s allow ± 51,000/( KL / r ) 2 ksi KL / r Ú 66 s allow ± 20.2 ² 0.126 ( KL / r ) ksi KL / r 66 L (ft) 2 ft 3 ft 4 ft 5 ft KL/r 43.40 65.10 86.80 108.5 s allow (ksi) 14.73 12.00 6.77 4.33 P allow ± s allow A 18.1 k 14.7 k 8.3 k 5.3 k Problem 11.9-24 An aluminum pipe column (alloy 6061-T6) that is fixed at the base and free at the top has outside diameter d 2 ± 80 mm and inside diameter d 1 ± 72 mm (see figure). Determine the allowable axial load P allow for each of the following lengths:
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Unformatted text preview: L 0.6 m, 0.8 m, 1.0 m, and 1.2 m. ( Hint: Convert the given data to USCS units, determine the required quantities, and then convert back to SI units.) Solution 11.9-24 Aluminum pipe column Alloy 6061-T6 Pinned ends . r A I A 26.907 mm 1.059 in. I p 64 ( d 2 4 d 1 4 ) 1.661 in. 4 A p 4 ( d 2 2 d 1 2 ) 1.480 in. 2 d 1 72 mm 2.8346 in. d 2 80 mm 3.1496 in. ( K 2) Use Eqs. (11-85 a and b ): s allow 51,000/( L / r ) 2 ksi KL / r 66 s allow 20.2 0.126 ( L / r ) ksi L / r 66 L (m) 0.6 m 0.8 m 1.0 ft 1.2 m KL (in.) 47.24 62.99 78.74 94.49 KL/r 44.61 59.48 74.35 89.23 s allow (ksi) 14.58 12.71 9.226 6.405 P allow s allow A 21.58 k 18.81 k 13.65 k 9.48 k P allow (kN) 96 kN 84 kN 61 kN 42 kN 11Ch11.qxd 9/27/08 2:27 PM Page 904...
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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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