Magnitude of Cable Tensions and Compressive Force

In summary, the conversation discusses a diagram with a free body diagram and equations for finding compression and tension in a given scenario. The person is unsure about finding the direction of reaction forces and applied forces at a specific point, but there are only two possibilities for each. They are seeking guidance on how to determine the correct direction.
  • #1
nobodyuknow
64
0

Homework Statement


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There's a diagram with a rough free body diagram implemented.


Homework Equations



This is what I'm really unsure about.


The Attempt at a Solution



Finding Compression at BC: mg*sin(60) = 8495N
Tension AC = mg*cos(25) = 8890N

Not sure if that's right, but, it's all I can come up with!

Please help!
 
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  • #2
At point C, what is the direction of:

1. The reaction force of the beam?
2. The reaction force of the upper part of the cable?
3. The force applied by the lower part of the cable?
 
  • #3
How do I find them?
 
  • #4
Each of those has only two possibilities. Consider both, choose one that makes physical sense.
 
  • #5


I would say that your attempt at a solution is a good start. It is important to carefully consider the forces acting on the system and apply the appropriate equations to find the magnitudes of the tensions and compressive force. However, it is also important to keep in mind that this is a simplified free body diagram and there may be other factors at play that could affect the actual magnitudes of the forces. It would be beneficial to double check your calculations and also consider any other external forces or factors that may be influencing the system. It is also important to clearly define and label the variables and equations being used to avoid confusion. Overall, your approach is a good start, but it would be beneficial to further analyze the system and consider any potential limitations or uncertainties in the results.
 

What is the significance of determining the magnitude of cable tensions and compressive force?

Determining the magnitude of cable tensions and compressive force is crucial in understanding the structural integrity of a system. It helps in identifying potential weak points and ensures that the system can withstand the expected loads and forces.

How are the magnitudes of cable tensions and compressive force calculated?

The magnitudes of cable tensions and compressive force are calculated using principles of statics and mechanics. This involves analyzing the forces acting on the system and using equations such as Newton's laws and Hooke's law to determine the magnitudes.

What factors affect the magnitude of cable tensions and compressive force?

The magnitude of cable tensions and compressive force can be affected by various factors such as the weight of the load, the angle of the cable, the material properties of the cable and the supporting structure, and external environmental factors such as wind or seismic activity.

Why is it important to consider the magnitude of cable tensions and compressive force in design and construction?

In design and construction, it is crucial to consider the magnitude of cable tensions and compressive force to ensure the safety and stability of the system. Neglecting to account for these forces can result in structural failure, which can have serious consequences.

How can the magnitude of cable tensions and compressive force be managed or controlled?

The magnitude of cable tensions and compressive force can be managed or controlled through proper design, material selection, and construction techniques. This can include using appropriate load-bearing materials, ensuring proper tensioning of cables, and incorporating safety factors in the design to account for unexpected forces.

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