899_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

899_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 11.9-6 Select a steel wide-flange column of nominal depth 360 mm (W 360 shape) to support an axial load (see figure). The column has pinned ends and length . Assume and . ( Note : The selection of columns is limited to those listed in Table E-1 (b), Appendix E.) s Y ± 340 MPa E ± 200 GPa L ± 6 m P ± 1100 kN SECTION 11.9 Design Formulas for Columns 893 Solution 11.9-6 (1) T RIAL VALUE OF Upper limit: (2) T RIAL VALUE OF AREA (3) T RIAL COLUMN (4) A LLOWABLE STRESS FOR TRIAL COLUMN s allow ± 68.1 MPa s allow ± s y a A 2 p 2 E s y b 2 2 n 2 a KL r b 2 n 2 ± 23 12 n 2 ± 1.917 L r ± 122.951 L r 7 L c r A ± 10100 mm 2 r ± 48.8 mm W 360 * 79 A ± P s allow A ± 10000 mm 2 Try s allow ± 110 MPa s allow ² max ± s y n 1 s allow ² max ± 204 MPa with L r ± 0 n 1 ± 5 3 s allow L c r ± A 2 p 2 E s y ± 107.756 s y ± 340 MPa E ± 200 GPa
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Unformatted text preview: K ± 1 P ± 1100 kN L ± 6 m (5) A LLOWABLE LOAD FOR TRIAL COLUMN (W 360 79) (6) N EXT LARGER SIZE COLUMN W 360 122 ‹ Select W 360 * 122 (W 360 * 122) P allow 7 P (OK) P allow ± A s allow P allow ± 1679.9 kN s allow ± 108.38 MPa s allow ± s y 1 n 1 ≥ 1 ² a K L r b 2 2 a A 2 p 2 E s y b 2 ¥ n 1 ± 1.912 n 1 ± 5 3 + 3 a K L r b 8 a A 2 p 2 E s y b ² a K L r b 3 8 a A 2 p 2 E s y b 3 L r ± 95.238 L r 6 L c r A ± 15500 mm 2 ± 63.0 mm * * P allow 6 P (Not Satisfactory) P allow ± s allow A P allow ± 688.1 KN 11Ch11.qxd 9/27/08 2:27 PM Page 893...
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