A large precast concrete panel for a warehouse is raised using two sets of cables at two lift lines, as shown in the figure part a. Cable 1 has a length L 1 = 6.7 m, cable 2 has a length L 2 = 2 m,...

A large precast concrete panel for a warehouse is raised using two sets of cables at two lift lines, as shown in the figure part a. Cable 1 has a length L₁
= 6.7 m, cable 2 has a length L₂
= 2 m, and the distance along the panel between lift points B and D is d = 5.2 m (see figure part b). The total weight of the panel is W = 378 kN. Assuming the cable lift forces F at each lift line are about equal, use the simplified model of one half of the panel in figure part b to perform your analysis for the lift position shown.

Find the required cross-sectional area AC of the cable if its breaking stress is 630 MPa and a factor of safety of 4 with respect to failure is desired.