2.3. Torsional Energy

Try these first

1. 1.

   What is torsion?

   Hint

   Think about the force causing the twisting.

2. 2.

   Define torque in the context of torsion.

   Hint

   It's also the twisting force applied.

3. 3.

   What does the term 'torsion' refer to?

   • Twisting about an axis
   • Bending in two directions
   • Compression of material

   Hint

   Consider the direction of applied forces.

4. 4.

   True or False: Shear stress is not relevant in understanding torsional energy.

   • True
   • False

   Hint

   Think about the forces acting within the material.

5. 5.

   A rectangular beam with dimensions 0.05 m x 0.1 m is subjected to a torque of 150 Nm. Calculate the polar moment of inertia and the torsional energy stored if the length of the beam is 1.5 m and shear modulus is 60 GPa.

   Hint

   Make sure to compute J correctly to proceed with energy calculations.

6. 6.

   Design a cylindrical shaft to carry a specific torque of 300 Nm without exceeding a shear stress limit of 50 MPa. What is the minimum diameter required?

   Hint

   This involves rearranging the formula to isolate the diameter. Be sure to also remember how to convert units properly.