Question

The steel shaft is made from two segments: ac has a diameter of 0.5 in ., and cb has a diameter of 1 in . The shaft is fixed at its ends a and b and subjected to a torque of 500 lb ⋅ ft . gst = 10.8(103) ksi . What is the total torque experienced by the shaft?

1) 250 lb ⋅ ft
2) 500 lb ⋅ ft
3) 750 lb ⋅ ft
4) 1000 lb ⋅ ft

Answer 1

The total torque experienced by the composite steel shaft, made from two segments with different diameters, is 500 lb ⋅ ft, as the torque applied is the same throughout the shaft's length.

Step-by-step explanation:

The question revolves around calculating the total torque experienced by a composite steel shaft when a torsional load is applied. The torque applied to the shaft is consistent across its entire length. Regardless of the different diameters of segments AC and CB, the total torque will not change and remains 500 lb ⋅ ft as stated. This is because torque is a measure of rotational force and, in this case, it is applied to the fixed ends A and B of the shaft. The material property given, gst, or the shear modulus (typically denoted as G), is not directly required when the question only asks for the total torque, as the total torque is not affected by the shear modulus if we solely want to determine the torque value.