5.5 Statically Indeterminate Torsion Members:

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5.5 Statically Indeterminate Torsion Members
Is this torsion member statically indeterminate???
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1. Equilibrium
1 equation, 2 unknowns statically indeterminate!
2. Consider Compatibility
3. 2 equations, 2 unknowns can solve for TA and
TB
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If Statically Indeterminate

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

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• Examples

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Problem 5.8 find max shear stress in each shaft.
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5.8 Stress Concentrations (last topic well cover
in Chapter 5)
Consider the torsion member only (shaft) where do
you think the stress concentrations are??
Again, stress concentrations occur where theres
an abrupt change in geometry!
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How do we deal with stress concentrations??
Based on smaller of two connected shafts
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Examples
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