Calculating Cable Angles for Suspended Beam

In summary, to find the resting angles of the cables suspending a beam with two weights, use T1 and T2 for the tensions in the cables, and \theta1 and \theta2 for the angles they make with the horizontal. Calculate the x and y components of the tension vectors using T and \theta, and set them equal to the given y components. Then, since the beam does not move left or right, the x components must cancel each other out. This leads to Angle C being equal to Angle A for the cables to be in a resting position, with W1=350lbs, W2=650lbs, and B=20Deg.
  • #1
3wt Man
3
0
I have a beam suspended by two cables with two weights suspended by the beam. The weight of the beam is negligible. How would I find the resting angles of the cables.
 

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  • #2
Take T1 to be the tension in one cable, T2 the tension in the other. Take [itex]\theta1[/itex] to be the angle the first cable makes with the horizontal, [itex]\theta2[/itex] to be the angle the second cable makes. You can calculate the x and y components of both tension vectors in terms of T and [itex]\theta[/itex]. You know what the y component of each must be- they are given. You know that the x components must cancel, because the beam does not move left or right.
 
  • #3
This is not a homework problem!
It has been so long since I did anything like that.
I have
T1x=T2x
T1y+T3y+W1=0
T2y+T3y+w2=0

Then I get lost
 
  • #4
Okay I worked it out again, I finally get to a point where a Angle C = something Angle A.
This needs to be in a resting position and that is where my problem is.
W1=350lbs W2=650lbs B=20Deg
 

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1. How do I calculate the cable angles for a suspended beam?

To calculate the cable angles, you will need to use trigonometry. First, determine the length of the cables and the height of the beam. Then, use the inverse sine function to find the angle of the cable. Repeat for each cable and make sure the angles add up to 180 degrees.

2. What factors affect the cable angles for a suspended beam?

The main factors that affect cable angles are the length and height of the beam, as well as the weight and distribution of the load on the beam. Other factors may include the type and strength of the cables being used.

3. How do I ensure the accuracy of my cable angle calculations?

To ensure accuracy, it is important to double check all measurements and calculations. Use precise instruments and be sure to account for any potential errors. It may also be helpful to get a second opinion or consult with a structural engineer.

4. Can I use a calculator or software to calculate cable angles?

Yes, there are numerous calculators and software programs available that can assist with calculating cable angles for a suspended beam. However, it is still important to understand the underlying principles and perform a manual check for accuracy.

5. Are there any safety precautions I should take when working with suspended beams and calculating cable angles?

Yes, it is important to follow all safety precautions when working with suspended beams and calculating cable angles. This may include wearing appropriate protective gear, having a partner to assist, and ensuring the structural integrity of the beam and cables before loading any weight on them.

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