(Solution) - For the shaft application defined in Prob 3 77 p 139 -(2025 Original AI-Free Solution)

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For the shaft application defined in Prob. 3?77, p. 139, the input shaft EG is driven at a constant speed of 191 rev/min. Obtain a Basic Load Rating for a ball bearing at A for a life of 12 kh with a 95 percent reliability.
In Prob. 3?77, A torque T = 100 N · m is applied to the shaft EFG, which is running at constant speed and contains gear F. Gear F transmits torque to shaft ABCD through gear C, which drives the chain sprocket at B, transmitting a force P as shown. Sprocket B, gear C, and gear F have pitch diameters of a = 150, b = 250, and c = 125 mm, respectively. The contact force between the gears is transmitted through the pressure angle ? = 20°. Assuming no frictional losses and considering the bearings at A, D, E, and G to be simple supports, locate the point on shaft ABCD that contains the maximum tensile bending and maximum torsional shear stresses.