423_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

423_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/24/08 4:59 AM Page 417 SECTION 5.6 Design of Beams Problem 5.6-8 The wood joists supporting a plank floor (see figure) are 40 mm * 180 mm in cross section (actual dimensions) and have a span length L 4.0 m. The floor load is 3.6 kPa, which includes the weight of the joists and the floor. Calculate the maximum permissible spacing s of the joists if the allowable bending stress is 15 MPa. (Assume that each joist may be represented as a simple beam carrying a uniform load.) Solution 5.6-8 Spacing of floor joists L w floor load s q 4.0 m spacing of joists 15 MPa SPACING OF JOISTS bh 6 Mmax S sallow ws 2 S 3.6 kPa smax 4 bh2sallow 3wL2 Substitute numerical values: qL2 8 Mmax sallow wsL2 8 2 wsL 8sallow smax 2 bh 6 4(40 mm)(180 mm)2(15 MPa) 3(3.6 kPa)(4.0 m)2 0.450 m 450 mm ; ; 417 ...
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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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