4. [15 points] The rotating shaft in the figure rotates with a steady torque of T = 50,000 in-lb and a flywheel of weight W = 4000 lb. Given the shaft material's Syp =65,000 psi, Se = 44,000 psi. Use Nfs : 2.3 and K K = 1.2 = T 50,000 in-lb 3" dia. (a) Due to the 4000 lb bending load, determine the maximum bending moment and the corresponding bending stress on the shaft, when the shaft is not rotating. [Formula: M = Pab/L and =32 M/(d)]. (b) When the shaft is rotating, what will be the steady bending stress (avg) and reversing bending stress (r) for the design of the shaft? (c) Find the equivalent steady normal stress (e) [Formula: Geavg+r. Kfb. (yp/ e) ] (d) Due to the toque T, determine the maximum shearing stress on the shaft, when the shaft is not rotating. [Formula: t=16T/(d)]. (e) When the shaft is rotating, what will be the steady shearing stress (Tavg) and reversing shearing stress (Tr) for the design of the shaft? (f) Find the equivalent steady shear stress (te) [Formula: Te = Tsvg + Tr. Kft. (yp/ e)] (g) Use the shaft design formula to determine if the design is safe. [Formula: (6) + 3. (te) = (yp/Nfs)]