903_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

903_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 11.9-12 Determine the maximum permissible length L max for a steel pipe column that is fixed at the base and free at the top and must support an axial load P ± 500 kN (see figure). The column has outside diameter d ± 200 mm, wall thickness , and . s Y ± 250 MPa t ± 10 mm, E ± 200 GPa SECTION 11.9 Design Formulas for Columns 897 Solution 11.9-12 Steel pipe column Fixed-free column Use AISC formulas. L c ± 125.7 r K ± 4.226 m Eq. (11-76): a KL r b c ± A 2 p 2 E s Y ± 125.7 E ± 200 GPa s Y ± 250 GPa r ± A I A ± 67.27 mm a KL r b max ± 200 I ± p 64 ( d 2 4 ² d 1 4 ) ± 27.010 * 10 6 mm 4 A ± p 4 ( d 2 2 ² d 1 2 ) ± 5,969.0 mm 2 d 2 ± 200 mm t ± 10 mm d 1 ± 180 mm ( K ± 2). P ± 500 kN Select trial values of the length L and calculate the corresponding values of P allow (see table). Interpolate between the trial values to obtain the value of L that produces . Note: If , use Eqs. (11-79) and (11-81). If , use Eqs. (11-80) and (11-82). L 7 L c L 6 L c P allow ± P L (m) 3.55 3.60 3.59 KL/r 105.5 107.0 106.7 n 1 (Eq. 11-79) 1.908 1.909 1.909
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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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