865_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

865_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 11.3-15 A pinned-end strut of aluminium with length is constructed of circular tubing with outside diameter . (see figure) The strut must resist an axial load with a factor of safety with respect to the critical load. Determine the required thickness of the tube. t n 2.0 P 4 kips d 2 in L 6 ft ( E 10,400 ksi) SECTION 11.3 Critical Loads of Columns with Pinned Supports 859 Solution 11.3-15 P cr p 2 EI L 2 I P cr L 2 p 2 E I 0.404 in. 4 P cr nP P cr 8.0 k d 2 in. n 2.0 P 4 k E 10400 ksi L 6 ft M OMENT OF INERTIA t min 0.165 in. d 4 ( d 2 t ) 4 I 64 p I p 64 [ d 4 ( d 2 t ) 4 ] d = 50 mm t Problem 11.3-16 The cross section of a column built up of two steel I-beams (S 150 25.7 sections) is shown in the figure. The beams are connected by spacer bars, or lacing , to ensure that they act together as a single column.
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