GATE ME 2016 Set 2 — Question 44
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Engineering Mechanics → Statics → Stress & Strain
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Question
In the figure, the load , length , Young’s modulus , and the cross-section of the links is a square with dimension . All joints are pin joints.The stress (in Pa) in the link AB is ___________(Indicate compressive stress by a negative sign and tensile stress by a positive sign.)
Correct answer
1 to 1
Solution
In the given truss, at joint B, the load and the link are both oriented at to the horizontal. This means the load acts directly along the line of action of link . For equilibrium at joint B, the sum of forces perpendicular to link must be zero. Since link is the only other member connected at B and it is not collinear with , the force in link must be zero (). Therefore, the stress in link is .
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