5. Torsion in Shafts Fixed at Both Ends

Try these first

1. 1.

   What is torsion?

   Hint

   Think about how twisting a straw works.

2. 2.

   What must be true about the angular displacement of a shaft fixed at both ends?

   Hint

   Consider what happens when you twist something at each end.

3. 3.

   What is the primary consequence of applying torque to a shaft fixed at both ends?

   • The shaft twists
   • The shaft bends
   • The shaft compresses

   Hint

   Think about how torque affects a rotating object.

4. 4.

   True or False: The angular displacement at the fixed ends of a shaft must remain zero.

   • True
   • False

   Hint

   What happens when ends are held firmly?

5. 5.

   A circular shaft fixed at both ends experiences a torque of 200 N·m. If the shear modulus is 80 GPa and the polar moment of inertia is 30 × 10^-6 m^4, calculate the angle of twist.

   Hint

   You might need the length of the shaft to solve fully.

6. 6.

   Design a scenario where a shaft fixed at both ends would fail under excessive torque, outlining the reasons for its failure.

   Hint

   Consider how material limits influence design choices.