547_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

547_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 6.8 Shear Stresses in Wide-Flange Beams 541 Shear Stresses in Wide-Flange Beams When solving the problems for Section 6.8, assume the cross sections are thin-walled. Use centerline dimensions for all calculations and derivations, unless otherwise specified Problem 6.8-1 A simple beam of W 10 ± 30 wide-flange cross section supports a uniform load of intensity q ² 3.0 k/ft on a span of length L ² 12 ft (see figure). The dimensions of the cross section are h ² 10.5 in., b ² 5.81 in., t f ² 0.510 in., and t w ² 0.300 in. (a) Calculate the maximum shear stress t max on cross section A–A located at distance d ² 2.5 ft from the end of the beam. (b) Calculate the shear stress t at point B on the cross section. Point B is located at a distance a ² 1.5 in. from the edge of the lower flange. Probs. 6.8-1 and 6.8-2 Solution 6.8-1
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Unformatted text preview: S IMPLE BEAM : L 12 ft C ROSS SECTION : h 10.5 in. b 5.81 in. t f 0.510 in. t w 0.30 in. I z t w h 3 12 + bt f h 2 2 I z 192.28 in. 4 V | R qd | V 10.5 k R qL 2 R 18.0 k d 2.5 ft q 3.0 k/ft (a) M AXIMUM SHEAR STRESS (b) S HEAR STRESS AT POINT B t B a b 2 ( t 1 ) t B 430 psi ; t 1 bhV 4 I z t 1 832.8 psi a 1.5 in. b 2 2.9 in. t max 3584 psi ; t max a bt f t w + h 4 b Vh 2 I z A A L q d a z y C B t f t w h 2 b 2 b 2 h 2 Problem 6.8-2 Solve the preceding problem for a W 250 44.8 wide-flange shape with the following data: L 3.5 m, q 45 kN/m, h 267 mm, b 148 mm, t f 13 mm, t w 7.62 mm, d 0.5 m, and a 50 mm. 06Ch06.qxd 9/24/08 5:59 AM Page 541...
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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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