05-04ChapGere.0005 - 5 0.5 in., h 5 12 in., h 1 5 10.5 in.,...

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Shear Stresses in the Webs of Beams with Flanges Problem 5.10-1 through 5.10-6 A wide-flange beam (see figure) having the cross section described below is subjected to a shear force V . Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: (a) The maximum shear stress t max in the web. (b) The minimum shear stress t min in the web. (c) The average shear stress t aver (obtained by dividing the shear force by the area of the web) and the ratio t max / t aver . (d) The shear force V web carried in the web and the ratio V web / V . Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. Problem 5.10-1 Dimensions of cross section: b 5 6 in., t
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Unformatted text preview: 5 0.5 in., h 5 12 in., h 1 5 10.5 in., and V 5 30 k. Solution 5.10-1 Wide-flange beam 342 CHAPTER 5 Stresses in Beams (Basic Topics) z t y O h h 1 b b 5 6.0 in. t 5 0.5 in. h 5 12.0 in. h 1 5 10.5 in. V 5 30 k M OMENT OF INERTIA (Eq. 5-47) (a) M AXIMUM SHEAR STRESS IN THE WEB (Eq. 5-48a) t max 5 V 8 It ( bh 2 2 bh 1 2 1 th 1 2 ) 5 5795 psi I 5 1 12 ( bh 3 2 bh 1 3 1 th 1 3 ) 5 333.4 in. 4 (b) M INIMUM SHEAR STRESS IN THE WEB (Eq. 5-48b) (c) A VERAGE SHEAR STRESS IN THE WEB (Eq. 5-50) (d) S HEAR FORCE IN THE WEB (Eq. 5-49) V web V 5 0.942 V web 5 th 1 3 (2 t max 1 t min ) 5 28.25 k t max t aver 5 1.014 t aver 5 V th 1 5 5714 psi t min 5 Vb 8 It ( h 2 2 h 1 2 ) 5 4555 psi t h 1 b h Probs. 5.10-1 through 5.10-6 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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