Question

Two timber beams are mounted at right angles and in contact with each other at their midpoints. the upper beam A is 50 mm wide by 200 mm deep ans simply supported on an 3 m span; the lower beam B is 80 mm wide by 200 mm deep and simply supported on a 4 m span. At their cross-over point, they jointly support a load P = 10 kN. Determine the maximum normal stress in each beam.

Answer 1

50mm X 200 mmx3m- A R₂ In = 50(200) 12 to Mons (10 KN) (3) load at P = 10 kN. Moment of Snertia, In = 33.33 X106 80 (200) Is = 53.33 X 106 mm The Maximum Beuding moment mid- spau and Oie: SommX 200 mm x um. mm RI IBE 12 4 beam , ocus at 2 - 11.25 KN m. Mg = (10 kN) (4)2 8 MB= 20 KN-m Maxinum stress, Smax My (a)max=1125 kN-m) (50-him.) 33.33 X166 mm

(a) wax = 16.8918 KN-m 3 log wm = 16.8918 XION 3 (103 mm.) lo 6 mm² ww 2 = 16.89 No (SA) max. Obuwax = Me Bye - 20 KIV) (Bowma) 53.33 Xió mm 4 TB = 30 N/mm? M 186) wax