Problem 4.119 Four forces and a couple act on the beam. The vector sum of the forces is zero, and the sum of the moments about the left end of the beam is zero. What are the forces A, Ay, and B? 800 N 200 N-m Solution: The sum of the forces about the y-axis is Fx = Ay +B-800 = 0. The sum of the forces about the z-axis is EFx = Ax = 0.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 4.119 Four forces and a couple act on the
beam. The vector sum of the forces is zero, and the sum
of the moments about the left end of the beam is zero.
What are the forces A, Ay, and B?
800 N
200 N-m
Solution: The sum of the forces about the y-axis is
Fx = Ay +B-800 = 0.
The sum of the forces about the z-axis is
= Ax = 0.
The sum of the moments about the left end of the beam is
ΣΜι
= 11B-8(800) – 200 = 0.
800 N
200 N-m
From the moments:
6600
= 600 N.
11
B =
Substitute into the forces balance equation to obtain:
4 m
4 m
3m
Ay = 800 - 600 = 200 N
Transcribed Image Text:Problem 4.119 Four forces and a couple act on the beam. The vector sum of the forces is zero, and the sum of the moments about the left end of the beam is zero. What are the forces A, Ay, and B? 800 N 200 N-m Solution: The sum of the forces about the y-axis is Fx = Ay +B-800 = 0. The sum of the forces about the z-axis is = Ax = 0. The sum of the moments about the left end of the beam is ΣΜι = 11B-8(800) – 200 = 0. 800 N 200 N-m From the moments: 6600 = 600 N. 11 B = Substitute into the forces balance equation to obtain: 4 m 4 m 3m Ay = 800 - 600 = 200 N
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