Solution Found!
The solid shaft is subjected to the distributed and
Chapter 5, Problem 5-23(choose chapter or problem)
The solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the required diameter d of the shaft if the allowable shear stress for the material is \(\tau_{\text {allow }}=1.6 \mathrm{MPa}\)
Questions & Answers
QUESTION:
The solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the required diameter d of the shaft if the allowable shear stress for the material is \(\tau_{\text {allow }}=1.6 \mathrm{MPa}\)
ANSWER:
Step 1 of 5
The formula for maximum shear stress on a circular shaft is given by Equation (1). Using this equation, we can solve for the value of the required radius/diameter of the shaft. Since this is a design problem, we will equate the maximum shear stress to the allowable shear stress.
For a non-hollow circular shaft, its polar moment of inertia is given by Equation ( 2 ).
Also, the internal torque can be solved by the following equilibrium equation:
