1. Introduction to Torsion

Try these first

1. 1.

   What is torsion?

   Hint

   Think about how twisting affects materials.

2. 2.

   Define shear stress.

   Hint

   Consider stress in different directions.

3. 3.

   What describes the angle of twist in a structural member?

   • The linear displacement
   • The angular displacement
   • The shear stress

   Hint

   Remember it measures how much something turns.

4. 4.

   True or False: The polar moment of inertia is not relevant to torsion calculations.

   • True
   • False

   Hint

   Think about how the shape of an object affects its resistance to twisting.

5. 5.

   A solid shaft is subjected to a torque of 150 Nm. Calculate the shear stress if the shaft diameter is 60 mm.

   Hint

   Pay close attention to units for diameter.

6. 6.

   A helical spring with 10 active coils and a mean diameter of 30 cm compresses under an axial load of 500 N. Determine the deflection given the wire diameter is 5 mm and shear modulus is 80 GPa.

   Hint

   Make sure to calculate D and d in consistent units.