Calculating Forces and Moments for Static Equilibrium of a Structure

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To achieve static equilibrium in a structure, both the sum of forces and the sum of moments must equal zero. The discussion highlights the need to include torque calculations, specifically using moments about point A to determine the force Fab. It emphasizes that the moment caused by an external force M at point A must be balanced by the moment from the normal force at point B. The initial calculations focused solely on forces, which is insufficient for solving the problem. Properly incorporating moments is essential for accurate analysis in static equilibrium scenarios.
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So I have to do this question and I attempted this.
Can anyone go over this and see if I did it correctly. Another student from my class told me I had to use the torque in order to calculate Fab but I don't see how I would do that.

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In order for the frame to be in static equilibrium, the sum of the forces and the sum of the moments about point A must each equal zero.

Your calculations appear to use only the sum of the forces. You need to write a moment equation about point A in order to solve this problem.

In simple terms, the moment of M about point A is balanced by the moment about point A of the normal force on the rollers at point B.
 
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