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918_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

918_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 11.9-36 A square wood column with side dimensions b (see figure) is constructed of a structural grade of eastern white pine for which F c 8.0 MPa and E 8.5 GPa. An axial force P 100 kN acts on the column. (a) If the dimension b 120 mm, what is the maximum allowable length L max of the column? (b) If the length L 4.0 m, what is the minimum required dimension b min ? 912 CHAPTER 11 Columns Solution 11.9-36 Wood column (square cross section) (a) M AXIMUM LENGTH L max FOR b d 120 mm From Eq. (11-92): From Eq. (11.95): Trial and error: From Eq. (11-94): 1.51 m ; L max 12.592 d (12.592)(120 mm)
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Unformatted text preview: 12.592 f ± 2.0102 C p ± 0.86806 ± 1 + f 1.6 ² A c 1 + f 1.6 d 2 ² f 0.8 C P ± P F c b 2 ± 0.86806 K cE ± 0.3 P ± 100 kN F c ± 8.0 MPa E ± 8.5 GPa c ± 0.8 (b) M INIMUM DIMENSION b min FOR L ± 4.0 m Trial and error. Given load: P ± 100 kN P ± F c C P b 2 C p ± 1 + f 1.6 ² A c 1 + f 1.6 d 2 ² f 0.8 L d ± L b f ± K cE E F c ( L / d ) 2 Trial (mm) (kN) 160 25.00 0.51000 0.44060 90.23 164 24.39 0.53582 0.45828 98.61 165 24.24 0.54237 0.46269 100.77 ‹ b min ± 165 mm ; P C P f L d ± L b b 11Ch11.qxd 9/27/08 2:27 PM Page 912...
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