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determine the force in members ge gc and bc state if the members are in tension or compression 10 10 10 10 1000 lb

Sagot :

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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