Answer :
Final answer:
Correct option is A) To design a solid steel shaft to transmit power, first calculate torque and then determine the radius using the allowable shearing stress. The correct answer among the options provided is 1.64 inches.
Explanation:
The torque can be calculated first to design the solid steel shaft to transmit power. Given the power and speed, torque can be found using the formula: Torque (lb-ft) = (Power (hp) * 5252) / Speed (rpm). Next, the radius of the shaft can be determined using the allowable shearing stress and the torque. The stress equation is Shear Stress = (Torque * radius) / (Polar Moment of Inertia), where the Polar Moment of Inertia for a solid shaft is (pi * radius^4) / 2.
By calculating the torque and then rearranging the stress equation to solve for the radius, the correct radius for the solid steel shaft should be 1.64 inches (Option a).
