471_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

471_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/25/08 2:29 PM Page 465 SECTION 5.10 Shear Stresses in Beams with Flanges MOMENT OF INERTIA ABOUT THE z-AXIS Iweb 13 1 t c + t1 c1 32 3 Iweb 5.287 * 107 mm4 Iflange 1 b t 3 + b tf ac1 12 f Iflange tf 23 tf 2 I b 2.531 * 107 mm4 Iweb + Iflange I 7.818 * 107 mm4 FIRST MOMENT OF AREA ABOVE THE z AXIS c2 Q tc2 2 VQ tmax tmax 19.7 MPa ; It 2 Problem 5.10-13 Calculate the maximum shear stress tmax in the web of the T-beam shown in the figure if b 10 in., t h1 6.2 in., and the shear force V 5300 lb. Solution 5.10-13 0.5 in., h T-beam h 7 in. h1 b 10 in. t 0.5 in. tf h V MOMENT OF INERTIA ABOUT THE z-AXIS 6.2 in. 5300 lb h1 c h12 a h c c2 h h1 2 b + t h1 a h h12 + t h1 1.377 in. c1 c1 c 1.377 in. c2 29.656 in.4 0.8 in. b1 h c 1 1 t c 3 + t1 c1 32 3 Iweb tf Iweb LOCATION OF NEUTRAL AXIS b1h 7 in., 5.623 in. h1 b 2 Iflange Iflange I tf23 tf 1 bt 3 + btf a c1 12 f 2 b 2 4 8.07 in. Iweb + Iflange I 37.726 in.4 FIRST MOMENT OF AREA ABOVE THE z AXIS c2 Q tc2 2 VQ tmax tmax 2221 psi ; It 465 ...
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