The force in members ge gc and bc state if the members are in tension or compression Fge = 666.66 lb (C),Fgc = 417.4 lb (T),Fbc = 333.33 lb (T)
The forces:
∑Fy = 0
Va+Vb = 1000
∑Fx = 0
MOD = 0
Va*30 - 1000*10 = 0
Va=333.33 lb
Vd=666.67 lb
take section X-X
∑Fx = 0
Fge+ Fgc cos45 + Fbc = 0
∑Fy = 0
Fgc cos45 - 333.33 = 0
Fgc = 333.33/cos45
Fgc = 471.4 lb
MOG = 0
333.33*10 - Fbc*10=0
Fbc = 333.33 lb
From equation above
Fge+471.4*cos45+333.33 = 0
Fge = -666.66 lb
Answer
Fge = 666.66 lb (C)
Fgc = 417.4 lb (T)
Fbc = 333.33 lb (T)
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