Torsion: Formulating a Suitable Compatibility Condition
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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