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915_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 915_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 11.9 Aluminum Columns 909 Solution 11.9-31 Wood column (rectangular cross section) Find P allow Eq. (11-94): Eq. (11-95): Eq. (11-92): P allow F c C P A F c C P bh C P 1 + f 2 c A c 1 + f 2 c . d 2 f c f K cE E F c ( L e / d ) 2 K cE 0.3 b 3.5 in. h 7.25 in. d b F c 1,000 psi E 1,300,000 psi c 0.8 L e 6 ft 8 ft 10 ft L e / d 20.57 27.43 34.29 0.9216 0.5184 0.3318 C P 0.6621 0.4464 0.3050 P allow 16.8 k 11.3 k 7.7 k ; f Problem 11.9-32 A wood column of rectangular cross section (see figure) is constructed of structural grade, Douglas fir lumber ( ). The cross-sectional dimensions of the column (actual dimensions) are and . Determine the allowable axial load P allow for each of the following lengths: L 2.5 m, 3.5 m, and 4.5 m. h 210 mm b 140 mm F c 12 MPa, E 10 GPa Solution 11.9-32 Wood column (rectangular cross section) Find P allow Eq. (11-94): Eq. (11-95): Eq. (11-92): P allow F c C P A F c C P bh C P 1 + f 2 c A c 1 + f 2 c d 2
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Unformatted text preview: E F c ( L e / d ) 2 b ± 140 mm h ± 210 mm d ± b F c ± 12 MPa E ± 10 GPa c ± 0.8 K cE ± 0.3 L e 2.5 m 3.5 m 4.5 m L e / d 17.86 25.00 32.14 0.7840 0.4000 0.2420 C P 0.6019 0.3596 0.2284 P allow 212 kN 127 kN 81 kN ; f Problem 11.9-33 A square wood column with side dimensions b (see figure) is constructed of a structural grade of Douglas fir for which F c ± 1,700 psi and E ± 1,400,000 psi. An axial force P ± 40 k acts on the column. (a) If the dimension b ± 55 in., what is the maximum allowable length L max of the column? (b) If the length L ± 11 ft, what is the minimum required dimension b min ? Probs. 11.9-33 through 11.9-36 b b 11Ch11.qxd 9/27/08 2:27 PM Page 909...
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