400_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

400_Mechanics - qL 2 8 a 1 6 bh 2 b S ± bh 3 12 h 2 S ± 1 6 bh 2 M max ± qL 2 8 S ± I h 2(b MAX BENDING STRESS DUE TO TRAPEZOIDAL LOAD q

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Problem 5.5-4 A simply supported wood beam with span length carries a uniform load of intensity (see figure). (a) Calculate the maximum bending stress due to the load if the beam has a rectangular cross section with width and height (b) Repeat (a) but use the trapezoidal distuibuted load shown in the figure part (b). h ± 240 mm. b ± 140 mm q s max q ± 5.8 kN/m L ± 4 m AB 394 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.5-4 (a) M AX . BENDING STRESS DUE TO UNIFORM LOAD q ; s max ± 8.63 MPa M max ± 11.6 kN # m M max ± qL 2 8 h ± 240 mm q ± 5.8 kN m L ± 4 m b ± 140 mm s max ± 3 4 q L 2 bh 2 s max ± M max S s max ±
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Unformatted text preview: qL 2 8 a 1 6 bh 2 b S ± bh 3 12 h 2 S ± 1 6 bh 2 M max ± qL 2 8 S ± I h 2 (b) MAX . BENDING STRESS DUE TO TRAPEZOIDAL LOAD q uniform load ( q /2) & triang. load ( q /2) find location of zero shear x max ± 0.52753 L x L ± a ² 1 + 1 6 1 84 b x ± ² 6 L ² 1 1 84 L 2 2 2(3) 3 x 2 + 6 Lx ² 4 L 2 ± R A ² q 2 x ² 1 2 a x L q 2 b x ± x ± R A ± 1 3 qL R A ± c 1 2 a q 2 b L + 1 3 a q 2 1 2 b L d (a) q 2 — A L B q h b (b) A L B q 05Ch05.qxd 9/24/08 4:59 AM Page 394...
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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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