6.1. Shear Stress

Try these first

1. 1.

   Define shear stress in the context of torsion.

   Hint

   Think about internal forces in circular shafts.

2. 2.

   What is the formula for torque?

   Hint

   Consider the definition of rotational force.

3. 3.

   What does τ represent in shear stress calculations?

   • Torque
   • Shear Stress
   • Polar Moment of Inertia

   Hint

   Think about the force per unit area.

4. 4.

   True or False: The angle of twist is independent of shaft length.

   • True
   • False

   Hint

   Recall how length affects torque effects.

5. 5.

   A solid shaft subjected to a torque of 300 Nm twists by 1.5 radians. What is the length of the shaft given J = 2 x 10^-6 m^4 and G = 79 GPa?

   Hint

   Rearrange the equation wisely.

6. 6.

   Two helical springs have different diameters and are subjected to the same axial load. If one spring has a larger mean coil diameter, which spring will experience more shear stress?

   Hint

   Relate diameter to stress in your reasoning.