2. Torsional Shear Stress

Try these first

1. 1.

   What is torsional shear stress?

   Hint

   Think about what happens to materials when they twist.

2. 2.

   Write the formula for shear stress in a shaft.

   Hint

   Remember the variables involved in torque and radius.

3. 3.

   What does τ represent in the shear stress formula?

   • Torque
   • Shear Stress
   • Radial Distance

   Hint

   Think about what we’re calculating.

4. 4.

   True or False: The greater the radius, the higher the shear stress for a given torque.

   • True
   • False

   Hint

   Consider the relationship in the shear stress formula.

5. 5.

   A solid shaft of length 3 m and diameter 0.1 m is subjected to a torque of 250 N·m. Calculate the shear stress and the total angle of twist in radians.

   Hint

   Start with calculating J and use it in both shear stress and angle of twist formulas.

6. 6.

   A hollow shaft with an outer diameter of 0.25 m and an inner diameter of 0.15 m carries a torque of 100 N·m. Calculate the maximum shear stress and compare it with the shear stress of a solid shaft of the same outer diameter.

   Hint

   Remember to apply the comparative aspect when discussing shear stress of hollow vs. solid.