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Question

In the figure, the load P = 1 N, length L = 1m Young's modulus E = 50 GPa, and the cross section of the links is a square with dimension 10 mm X 10 mm. All joints are pin joints.

The stress (in Pa) in the AB is
(Indicate compressive stress by a negative so, and tensile stress by a positive sign)


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Solution

Fv=0
and Fx=0[Atequilibrium]
FBCsin45=FAB+psin45...(i)
FBCcos45=Pcos45....(ii)
FBC=P
Psin45=FAB+Psin45
FAB=0
σAB=0


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