892_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

892_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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886 CHAPTER 11 Columns Problem 11.6-10 A wide-flange steel column with length is fixed at the base and free at the top (see figure). The load P acting on the column is intended to be centrally applied,but because of unavoidable discrepancies in construction, an eccentricity ratio of 0.25 is specified. Also, the following data are supplied: and . (a) What is the maximum compressive stress in the column? (b) What is the factor of safety n with respect to yielding of the steel? s max P ± 310 kN s Y ± 290 MPa E ± 200 GPa, L ± 3.8 m W 310 * 74 Solution 11.6-10 (a) M AXIMUM COMPRESSION STRESS ; s max ± 47.6 MPa s max ± P A a 1 + ec r 2 sec a L e 2 r A P EA bb L ± 3.8 m L e ± 2 L L e ± 7.6 m ec r 2 ± 0.25 P ± 310 kN E ± 200 GPa I ± 23.4 * 10 6 mm 4 r ± A I A r ± 49.841 mm W 310 * 74 A ± 9420 mm 2 I ± I 2 (b) F ACTOR OF SAFETY WITH RESPECT TO YIELDING ; P y ± 712 kN n ± P y P n ± 2.30 solve numerically for
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Unformatted text preview: P y from s y P y A a 1 + ec r 2 sec a L e 2 r A P y EA bb s y 290 MPa Problem 11.6-11 A pinned-end column with length is constructed from a W 12 87 wide-flange shape (see figure). The column is subjected to centrally applied load and an eccentrically applied load .The load acts at distance from the centroid of the cross section. The properties of the steel are and . (a) Calculate the maximum compressive stress in the column. (b) Determine the factor of safety with respect to yielding. Probs. 11.6.11 and 11.6.12 s Y 36 ksi E 29,000 ksi s 5.0 in. P 2 P 2 75 k P 1 180 k * L 18 ft Wide-flange column P 2 P 1 s 11Ch11.qxd 9/27/08 3:39 PM Page 886...
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