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CA9 - 7—7 The be am has a rectangular cross section and...

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Unformatted text preview: 7—7. The be am has a rectangular cross section and is made of wood. If it is subjected to a shear of V = 4 kip, and a = 10111., determine the maximum shear stress and plot the shear—stress variation over the cross section. Sketch the result in three dimensions. Section Properties: 1 I = Tim“ 13‘) = 2312.5 in‘ Q,“ = 3714': 3.75(1.5)(m) = 231.25 in” Maximum Shear Stress.- Miximum shear stress occurs a: the point where the neutral axis passes through the section. Applying the shear formula V92... tn“ = TE. _ 4(23125) -m =0.040ks:=40.0p51 Ans 7-5. If the wide-flange beam is subjected to a shear of V = 25 kip, determine the shear force resisted by the web of the beam. Section Properties: 1 3 l J - 4 = _ —_ =568.67 12(3}(12) ”(M 10 ) m Q: 237‘ '= 55(3){1)+(o.5y+2.5)(s-y)(1) = sa.s-o.sy‘ Shear Stress: Applying the shear fomula ,- 2 I: K? = m =2.484—D.02t98y1 R 568.67“) Resultant Shear Farce: For the web Vw =J raj-1. A e [5" (2.434-0.02t9ay‘) (ndy -5in = 23.0 kip ...
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