Final answer:
To find the diameter of the shaft at the shoulder and the diameter of the shaft, use the given dimensional relations and loads, as well as the factor of safety. Apply the appropriate formulas and material properties to find the required diameter.
Step-by-step explanation:
To solve for the diameter, d, the equation D/d = 1.3 can be used, where D is the outer diameter of the shaft. Rearranging the equation, we have D = 1.3d. We also have the ratio r/d = 0.06, where r is the radius of the shoulder. From this, we can determine the ratio R/D, where R is the radius of the shaft shoulder: R/D = 0.06/1.3.
To find the dimensions of the shoulder and the diameter of the shaft, we can use the given loads and the factor of safety. The moment during rotation is 350 N-m and the steady torque is 280 N-m. To design for a factor of safety of 1.5, we need to calculate the required diameter d of the shaft.
Using the appropriate formulas and material properties for AISI 1050 CD, the required diameter can be determined.