If rope BC will fail when the tension becomes 50 kN?

determine the greatest vertical load F that can be applied to the beam at B. What is the reaction at A for this loading? Neglect the thickness of the beam.

Answer 1

It is a statics problem. Forces in any direction will sum to zero and moments about any convenient point will sum to zero.

determine the greatest vertical load F that can be applied to the beam at B.

Ignore the weight of the beam

Sum moments about A to zero with the tension in the cable being 50 kN.
Assume a clockwise moment is positive
The horizontal components of the cable tension and the 26 kN force have no moment arm so make no moment about A

0 = 26(12/13)[2] + F[6] – 50(3/5)[6]

F = 22 kN

What is the reaction at A for this loading?

Sum forces in the horizontal and vertical direction
Assume UP and RIGHT are the positive directions.

Fx + 50(4/5) – 26(5/13) + 22(0) = 0
Fx = -30 kN

Fy – 26(12/13) – 22 + 50(3/5) = 0
Fy = 16 kN

I hope this helped.
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