A split pin with an OD of 0.25 in., such as the one shown, is being used to hold a rod and bracket together. The pin is loaded in transverse shear. It is made of 1020 HR. The material has Sy ~ N [30.5, 6.5] ksi. It will be subjected to a shear load of P ~ N [1.4, 0.2] kip. Assume the pin can be modeled as a hollow cylinder (ignore the longitudinal split). a. What is the value of z that corresponds to a reliability of 0.9750 against yielding? b. What is the design factor associated with that reliability? c. Using a standard thickness of sheet metal, select the gauge steel to use to roll to make the split pin so that its reliability is above the expected that was calculated in part b. (Standard steel sheet metal gauge thickness is shown in the table.) d. What is the resulting Factor of Safety using the standard sheet gauge selected?