Design 3 Cable System for 25m Radio Tower: R, Diam of Steel Cables

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The discussion focuses on designing a three-cable support system for a 25m radio tower, emphasizing the radius R of supports B, C, and D, which should be equidistant from the tower's base. The cables must withstand a maximum horizontal storm force of 18kN, with the configuration allowing for one cable to be slack depending on the force's direction. The angles between the supports are set at 120 degrees, influencing the load distribution among the cables. The merits of larger R values include increased stability and reduced tension on the cables, while smaller R values may lead to higher cable loads under certain storm orientations. Understanding the forces at play and their impact on cable arrangement is crucial for effective design.
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Design the three cable support system for a radio tower of height 25 m. This includes specifying the radius R of the supports at point B, C, and D (as measured from the base of the tower) and the diameter of the steel cable.

Remarks:
- All supports will be erected on a horizontal surface.
- All three cables meet at point A on the top of the tower.
- Supports B, C, and D will each be located at the same radial distance R from the base of the tower (point O) such that angle BOC = angle BOD = angle COD = 120 degrees.
- The cables must be able to support a maximum horizontal storm force F = 18kN from any direction in the horizontal plane.
- Neglect the weight of the cables in your calculations.
- Assume one of the cables is always slack and supports no load. For example, when force F lies in sector CAD, cable AB is slack.

Describe the merits of large versus small values of R and why you selected the value. State which orientations of the storm force F lead to the most severe cable loads and how you determined these orientations.
 
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Welcome Mrdad.

If that is your homework, how far have you got?

What forces, for instance, do you think the support cables are resisting and how therefore would you arrrange them?
 

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