914_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 914_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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908 CHAPTER 11 Columns Solution 11.9-29 Wood post (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 ² A c 1 + f 2 c d 2 ² f c f ± K cE E F c ( L e / d ) 2 K cE ± 0.3 b ± 3.5 in. h ± 5.5 in. d ± b F c ± 2,000 psi E ± 1,800,000 psi c ± 0.8 L e 5 ft 7.5 ft 10.0 ft L e / d 17.14 25.71 34.29 0.9188 0.4083 0.2297 C P 0.6610 0.3661 0.2176 P allow 25.4 k 14.1 k 8.4 k ; f Problem 11.9-30 A wood post of rectangular cross section (see figure) is constructed of structural grade, southern pine lumber ( ). The cross-sectional dimensions of the post (actual dimensions) are and . Determine the allowable axial load P allow for each of the following lengths: , and . 2.5 m L ± 1.5 m, 2.0 m h ± 150 mm b ± 100 mm F c ± 14 MPa, E ± 12 GPa Solution 11.9-30 Wood post (rectangular cross section) Find 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 ² A c 1 + f 2 c d 2 ² f c f ± K cE
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Unformatted text preview: E F c ( L e / d ) 2 P allow b 100 mm h 150 mm d b c 0.8 K cE 0.3 F c 14 MPa E 12 GPa L e 1.5 m 2.0 m 2.5 m L e /d 15 20 25 1.1429 0.6429 0.4114 C P 0.7350 0.5261 0.3684 P allow 154 kN 110 kN 77 kN ; f Problem 11.9-31 A wood post column of rectangular cross section (see figure) is constructed of construction grade, western hemlock lumber ( ). The net cross-sectional dimensions of the column are b = 3.5 in. and h 7.25 in. (see Appendix F). Determine the allowable axial load P allow for each of the following lengths: , and 10.0 ft. L 6 ft 8 ft F c 1,000 psi, E 1,300,000 psi 4 in. * 8 in. 11Ch11.qxd 9/27/08 2:27 PM Page 908...
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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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