Statics Design Problem

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.