At the end of this section you should be able to:

1. Identify relevant material properties for torsional properties and find them on a table

2. Solve for deformations and stress in problems with purely torsional loading for

   • Statically-determinate problems

   • Statically-indeterminate problems

3. Estimate maximum shear stress in object with abrupt geometry change using stress concentrator equation and plots

Torsional Deformation and Stress explains how circular rods and shafts twist under applied torque and how to compute torsional deformation and shear stress for practical loading cases. You will identify the material properties needed for torsion calculations using standard property tables, solve statically determinate members with multiple applied torques, and solve statically indeterminate torsion problems (including members made from multiple materials) using equilibrium plus compatibility. The section also introduces stress concentrations in torsion so you can estimate maximum shear stress near abrupt geometry changes such as fillets using stress concentration equations and plots, with Mathematica resources included to support equation setup and checking.