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Torsion: Formulating a Suitable Compatibility Condition

Course subject(s) 3. Torsion

Take a look at the various statically indeterminate torsion problems given below. For each problem, formulate an appropriate compatibility condition. Please take care to clearly define the signs/directions of displacements and/or forces in stating your compatibility condition.

1. A solid steel shaft built in at A and B, subjected to torques at C and D.

2. A solid aluminum shaft constructed of two segments AC and CB with different diameters.

3. Two built in shafts (AE and FB) connected through gears with a torque applied at the large gear.

4. A composite shaft comprising of a solid 25mm diameter shaft with a reinforcing tube welded to rigid flanges at A and B.

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