The cable-supported roof for a summer theater, shown in Figure P6.15, is composed of 24 equally spaced cables that span from a tension ring at the center to a compression ring on the perimeter. The tension ring lies \(12 \mathrm{ft}\) below the compression ring. The roof weighs \(25 \mathrm{lb} / \mathrm{ft}^{2}\) based on the horizontal projection of the roof area. If the sag at midspan of each cable is \(4 \mathrm{ft}\), determine the tensile force each cable applies to the compression ring. What is the required area of each cable if the allowable stress is 110 kips/in. \({ }^{2}\) ? Determine the weight of the tension ring required to balance the vertical components of the cable forces.


Section 1-1

P6.15