Question

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 B x 125 N 8 m 6 m 6 m

Answer 1

Ilus с 8 20ON & D B PAX 8m RAY 125N E 6m 6m REJ EFJ=0 RAY + Rey = 125 + 200 0 E Fx = 0 RARE 1 SDN taking moment about (12586) H150 x 8) + (200 X 12) = REYX 12 REY= 362.5N

RAY = - 37.50 by method of joint at A *FAC 10 37.5 facsino a 8 hos FAB Caso = 6 150 FAC Caso 10 sino = 3/10 150 = FABI FAC Coso -0 37.5 = FACsino 37.5x10 10 = FAC = 46.875 N 8 FAC : 46.875N Tension 150 = fast 46.875fo 150-28.125 = FAB FAB = 121.875 No Tension

al point t og C FBE FBE COSO 10 FBE sine 362.5 N Fre sino = 0 F DET FBE Coso = -362.5 FDE = - 362.5N at point Bl compression FB C + FBI FAB 125 Fe=0 FBC = 125 N. FBD = 121.875 N. Aug Tension

at point FC Sino Pol 200N 8 FCocoso FBD FDE 6 ) coso = 6 10 200 + FDE = Fco sino sino = 8 200+ FDE = Frosino Fco Coso = -121.875 + FCD=121-875X10 6 203.125N FCDE - 203.1250 compression FDE = - 203.125x8 -200 TO IEDE =-362.5 N. tonian compression