Calculating Tension & Mass of AB Beam

In summary, the problem involves calculating the tension of the AB beam and the mass, given that the force of beam BC is 200N and the angle of vector BC is 40 degrees above horizontal. The solution can be simplified by using trigonometry to sum the x-components and y-components of the system and setting them equal to zero. This can be thought of as a truss with a single triangle, and various methods such as the method of moments, the method of joints, or a free body diagram method can be used to solve it.
  • #1
Zaza669
6
0
BvXTmGH.jpg

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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  • #2
Please write out your horizontal and vertical force balances on point B and your moment balance about point C.
 
  • #3
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
 
  • #4
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.
 
  • #5
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.
 
  • #6
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.
 

FAQ: Calculating Tension & Mass of AB Beam

1. How do you calculate tension in an AB beam?

To calculate tension in an AB beam, you need to know the weight of the load on the beam and the distance between the supports. You can then use the formula T = (w x L)/2, where T is the tension, w is the load, and L is the distance between supports.

2. What is the mass of an AB beam?

The mass of an AB beam can vary depending on the material it is made of. To calculate the mass, you will need to know the density of the material and the dimensions of the beam. You can then use the formula m = ρ x V, where m is the mass, ρ is the density, and V is the volume of the beam.

3. How do you determine the tension in a beam with multiple supports?

If a beam has multiple supports, you will need to use the principle of moments to calculate the tension. This involves balancing the moments on both sides of the beam. The formula for this is T1 x L1 = T2 x L2, where T1 and T2 are the tensions on either side of the beam, and L1 and L2 are the distances from the supports to the point where the tension is being calculated.

4. Can tension in a beam be negative?

Yes, tension in a beam can be negative. This means that the beam is under compression, which is when the forces are pushing towards each other and away from the beam. It is important to consider both positive and negative tension when calculating the overall force on the beam.

5. How do you determine the maximum load a beam can support?

To determine the maximum load a beam can support, you will need to consider the maximum allowable tension for the material the beam is made of. This is typically given in terms of the yield strength or ultimate strength of the material. You can then use the formula T = (w x L)/2 to calculate the maximum load, where T is the maximum allowable tension, w is the load, and L is the distance between supports.

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