Design the outside and inside diameters for a hollow stell shaft subjected to a torque of 1,000,000 in-lb. The maximum shear stress developed in the shaft is not to exceed 8,000 psi. The inside diameter is to be 2/3 of the outside diameter. Calculate the angle of twist in degrees for a 14 foot length of this shaft. Answer: D(outside) = 9.259 inches, D(inside) = 6.176 inches, angle of twist= 1.39 degrees I'm unsure of how to solve this problem. Could someone help me walk through the process step-by-step? Thanks in advance.
Design the outside and inside diameters for a hollow stell shaft subjected to a torque of 1,000,000 in-lb. The maximum shear stress developed in the shaft is not to exceed 8,000 psi. The inside diameter is to be 2/3 of the outside diameter. Calculate the angle of twist in degrees for a 14 foot length of this shaft.
Answer: D(outside) = 9.259 inches, D(inside) = 6.176 inches, angle of twist= 1.39 degrees
I'm unsure of how to solve this problem. Could someone help me walk through the process step-by-step? Thanks in advance.
Given data:
- The torque applied is, T = 1,000,000 lb-in.
- The shear stress developed, τ = 8,000 psi.
- Length of the shaft, L = 14 ft.
- The ratio of diameters, di/do = 2/3.
Use the torsional equation for diameter calculation.
τ/ro = T/J
Here, T is the torque, J is the polar moment of inertia of the shaft, τ is the maximum shear stress, ro is the outside radius.
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