(Solved): 2.0 based on the distortion energy theory. Q.2. (60\%) In older trucks and busses of the 20th cen ...

$$2.0$$ based on the distortion energy theory. Q.2. (60\%) In older trucks and busses of the $$20^{\text{th }}$$ century, the gearshift lever (vites kolu) used to be a long stick that required considerable force for actuation. The cylindrical portion is solid with a diameter of $$d=12\mathrm{mm}$$. A simplified model is shown in the figure, which operates between two opposite positions only. The force required is estimated to be about $$F=50\mathrm{N}$$ (recommended human hand force limit) when pushing in either direction. The effective length is $$L=750\mathrm{mm}$$. The material is similar to AISI $$1030\mathrm{HR}$$. The lever is operated 100 cycles per day on average. Determine whether the lever would have finite of infinite life. If the life is infinite state the fatigue factor of safety, if the life is finite state the life in years.