Question

5. TRUSS Determine the force in each member of the truss shown below. There is a pin at A and a rocker at E. State whether each member is in tension or compression. 150 N 200 N 8 m A B х 125 N 8 m E 6 m 6 m

Answer 1

free body diagoon C 150N 7 8 m 200N * А D B 8m Ax 125N Ау K omkom, 6mify EmA = 0 (Ey X 12) = (150x87+(200x12 ) + (125x6) 362.5 N Ey 11. Efx =0 Ax = 150N Efy -- Ey Ay + 125+ 200 37.5N AY

By usuing method of joints At joint-A O = 53:13° FAC FAB 15ON Ax 37.5N Efy sino s 37.5 FAC FAC 46• 875 N CT) Efx zo 150 FAC COSO + FAB FAB (2) - 815 N(T)

At joint-E 362.5N FBE RE To E YRDE Efx =o. FBE =0 Efy =0 RDE RE = 362.5N 362-5N ccomp] RDE At joint-D = 362.5N RDE FBD Fco 200N Efy - Fco sino + 200 - 362.5

FCD. = 203-125 N [comp] į fx fcd 'coso FBD FOD 121.875 N (ten] At joint-B 1 foc B: FOD - 121-875N FAB - 121-875N 125N Efy = 0 [termsim FBC 125N members forces in BC = 25 NG] AB=121-875 (T) AC = 46.875 (T) BE = O = 362.5 [C] DE 203. 125 [C] CD 2 - 8 15 N (T] BD