Answer:
The smallest radius at the junction between the cross section that can be used to transmit the torque is 0.167 inches.
Explanation:
Torsional shear stress is determined by the following expression:
Where:
- Torque, measured in .
- Radius of the cross section, measured in inches.
- Torsion module, measured in quartic inches.
- Torsional shear stress, measured in pounds per square inch.
The radius of the cross section and torsion module are, respectively:
Where is the diameter of the cross section, measured in inches.
Then, the shear stress formula is now expanded and simplified as a function of the cross section diameter:
In addition, diameter is cleared:
If and , then:
The smallest radius at the junction between the cross section that can be used to transmit the torque is 0.167 inches.