A special instrument package in an experimental aircraft weighs 60 lb. It is supported by three cables, with each cable attached to the end of a cantilever beam. Each beam is equally loaded and is identical with w = 0.50 in, t = 0.25 in, H = 1.5 in, and L = 5.0 in. The package is damped so that it does not vibrate, but during various maneuvers the package is subjected to vertical acceleration ranging from -1 g to + 9 g. Thus, the total effective tension force on the three cables ranges from 0 to 600 lb during the mission. Instrument package typical cantlever ground radius of 0.12 In Ow load The mission loading spectrum for a typical mission was found to be: 0 -600 Ibs 60 - 400 lbs 10,000 cycles 200 - 300 lbs 50,000 cycles 0 -200 Ibs 100 cycles 100,000 cycles Determine the total number of missions that can be flown before failure of a cantilever would be expected. The cantilever is steel with S, 145 ksi, Sut = 160 ksi, e = 10%. %3!