Solid&Struct Mech CEE 212
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This 4 page Class Notes was uploaded by Karson Dicki on Thursday October 29, 2015. The Class Notes belongs to CEE 212 at University of Michigan taught by Staff in Fall. Since its upload, it has received 13 views. For similar materials see /class/231673/cee-212-university-of-michigan in Civil and Environmental Engineering at University of Michigan.
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Date Created: 10/29/15
aw me WNW 3 mmmvwm WA E mg wmwggamvww mw mg m m mg Mmm xmmg m wm mu g 3 ww w 1M mmg W3 Qm gmm m A W WWWm Cu MW of WW smgm g 6 N53 if if E72 g W ww w WWWWXMWV mmm mwm Wm mm wg Egg w M m u w n 4mme aw Wmmww mxmmm mWi WE WWVW an u m3 E M m h a gw m nmm mam mw waxwme mmxm gw 384 CHAPTER 7 Transverse Shear EXAMPLE 72 A steel Wide ange beam has the dimensions shown in Fig 711a If it is subjected to a shear of V 80 kN a plot the shearstress distribution acting over the beam s crosssectional area and b determine the shear force resisted by the web 7339 113 MPa T3 226 MPa TC 252 MPa 226 MP3 113 MPa a Solution Part a The shear stress distribution will be parabolic and varies in the manner shown in Fig 7411b Due to symmetry only the shear stresses at points 839 B and C have to be computed To show how these values are obtained we must first determine the moment of inertia of the cross sectional area about the neutral axis Working in meters we have 1 0015 m0200 my 0300 m002 m3 0300 m002 m0110 my 155610 6 m4 For point B 3 0300 m and A is the dark shaded area shown in Fig 7 11c Thus 0 39 QB 72439 0110 m0300 m002 m 066010 3 m3 g 7 11 so that VQB 80 kN066010 3 m3 W 113 MPa 1th 155610 6 m40300 m TB 2 For point B t3 0015 m and Q B Q33 Fig 711c Hence V 80kN 0660710 3 m3 TB 2 22 TIr 322654123 ItB 155610 m 00154111 39
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