02-01ChapGere.0009 - S HORTENING GOVERNS A min 5 13.60 in 2 M INIMUM THICKNESS t min S UBSTITUTE NUMERICAL VALUES t min 5 0.63 in t min 5 7.5 in 2

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Problem 2.2-11 A hollow, circular, steel column ( E 5 30,000 ksi) is subjected to a compressive load P , as shown in the figure. The column has length L 5 8.0 ft and outside diameter d 5 7.5 in. The load P 5 85 k. If the allowable compressive stress is 7000 psi and the allowable shortening of the column is 0.02 in., what is the minimum required wall thickness t min ? SECTION 2.2 Changes in Lengths of Axially Loaded Members 71 P d t L Solution 2.2-11 Column in compression P d t L P 5 85 k E 5 30,000 ksi L 5 8.0 ft d 5 7.5 in. s allow 5 7,000 psi d allow 5 0.02 in. R EQUIRED AREA BASED UPON ALLOWABLE STRESS s 5 P A Ê A 5 P s allow 5 85 k 7,000 psi 5 12.14 in. 2 R EQUIRED AREA BASED UPON ALLOWABLE SHORTENING
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Unformatted text preview: S HORTENING GOVERNS A min 5 13.60 in. 2 M INIMUM THICKNESS t min S UBSTITUTE NUMERICAL VALUES t min 5 0.63 in. t min 5 7.5 in. 2 2 B ¢ 7.5 in. 2 ≤ 2 2 13.60 in. 2 p t min 5 d 2 2 B ¢ d 2 ≤ 2 2 A min p t 5 d 2 2 B ¢ d 2 ≤ 2 2 A p Ê or 5 B d 2 2 4 A p ( d 2 2 t ) 2 5 d 2 2 4 A p Ê or Ê d 2 2 t 5 2 ( d 2 2 t ) 2 4 A p 2 d 2 A 5 p 4 [ d 2 2 ( d 2 2 t ) 2 ] Ê or 5 13.60 in. 2 d 5 PL EA Ê A 5 PL E d allow 5 (85 k)(96 in.) (30,000 ksi)(0.02 in.) A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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