Calculating Tension & Mass of AB Beam

AI Thread Summary
To calculate the tension of the AB beam and its mass, the force acting on beam BC is 200N at a 40-degree angle above horizontal. The tension was calculated to be 226.10 and the mass 25.01. To solve the problem, it's essential to establish horizontal and vertical force balances at point B and a moment balance about point C. Utilizing trigonometric functions to sum the x and y components will simplify the calculations. Methods such as the method of moments, method of joints, or free body diagrams can be employed for a clearer analysis.
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1. Homework Statement

I have to calculate the tension of AB beam and the mass.
The force of beam BC is 200N

2. Homework Equations

My work

5150926.jpg

The Attempt at a Solution


T=226.10
M=25.01
 
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Please write out your horizontal and vertical force balances on point B and your moment balance about point C.
 
Chestermiller said:
Please write out your horizontal and vertical force balances on point B and your moment balance about point C.

Sorry but I'm not understand you
 
Looks like angle of vector BC is 40 degrees above horizontal, its magnitude is 200 N (pointing toward upper right), and it is equal and oposite to the vector sum of the weight and the tension force supplied by cable AC.
 
You're on a good way because you just simplified the problem in 2-D; then sum the x-components of the system and the y-components of the system by using trigonometry function and these two equations need to be equal to zero. Then that will become more simplier, and then you can find the answer.
 
Think about it as a truss with a single triangle. Now you can use the method of moments, the method of joints, or a free body diagram method. All are available on the web and aren't difficult.
 

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