Question

Chapter 8, Reserve Problem 080 (GO Tutorial) The moment acting on the cross section of the T-beam has a magnitude of 25 kip-ft and is oriented as shown. Assume be = 7.0 in., ty = 1.50 in., tf = 1.00 in., d = 10.0 in. and 50º. Determine = (a) the bending stress at point H. (b) the bending stress at point K. (c) the orientation of the neutral axis relative to the +z axis; show its location on a sketch of the cross section. M

Answer 1

And Given, M = 96kip, bg = 7 in , tw=lsin, & tf = 1 in, d= loin 8 = 50 y rein Z t HY واک calculate centroid location (%) y = yiti E Ai section width h Area (A) 0 Flange 7 in lin 7 ② web 15 in g in 13.5 16:50 Yi (from bortom) y, Ai 9.5 4.5 60.75 Eyi Ai = 127.25 EA = 20.5 Substituting values is g) y = 127.25 = 6:207 in from bottoms ý = 3.793 from top

mom calculate moment of Inertia about y anis Jy = 1x??+ 981.5% = 311 ing calculate moment of Inesha about 2 ani's Fz= 742) + 711(3-991-05) + 15X9+ 1549 (9:5-6-203) 3 In = 76.49 + 130.46 Iz = 206.95 int Then, compute moment components - My = - (25)x Cos 50' = -16.06 kip-ft --192-72 kip-in Me= - (25) x son so = -19.15 kip-ft =-229.81 kip-in 206.95 @ Bending stress at H one my 2 - My} = - 19272x(+3.5) – 42 29.!)X 3.713 o = 25.88 ksé (Temsile)] ③ Bending stress att M2 y = -192-72x0.75 Oprema Iz 3111 posi95 Tou = -11.53 ksi (compresion) - (-229.81*(- 6.207)

© an B = My Iz= Mz In - 192.728 206.95 = 5.57 - 229.81 4 31:11 Hence, 1 B = 79.83 È is 79.83 clockwise from +2 anos. If you like solution, please rate it