1. 5.5 Statically Indeterminate Torsion Members:
Is this torsion member statically indeterminate???
Figure: 05-24a

2. 1 equation, 2 unknowns – statically indeterminate!
1. Equilibrium:
1 equation, 2 unknowns – statically indeterminate!
2. Consider Compatibility:
Figure: 05-24b,c
3. 2 equations, 2 unknowns – can solve for TA and TB

3. If Statically Indeterminate
Use static Eq to get one equation
Use compatibility (something you know about deflection) to get another equation.
Solve 1 and 2 for unknown torques.
Solve for shear stress, t.

4. Examples:

11. Problem 5.8 – find max shear stress in each shaft.
Figure: P5.80

12. 5.8 Stress Concentrations (last topic we’ll cover in Chapter 5)
Consider the torsion member only (shaft) where do you think the stress concentrations are??
Again, stress concentrations occur where there’s an abrupt change in geometry!
Figure: 05-35a-c

13. How do we deal with stress concentrations??
Based on smaller of two connected shafts

14. Figure: 05-36

15. Examples:
Figure: UN