1.2.3. Shear Modulus (G)

Try these first

1. 1.

   What is the formula for shear modulus?

   Hint

   Think about how shear stress and shear strain relate.

2. 2.

   Can you define shear stress?

   Hint

   Consider the forces acting tangentially.

3. 3.

   What does shear modulus measure?

   • Resistance to tensile stress
   • Resistance to shear stress
   • Resistance to compressive stress

   Hint

   Think about the type of force being applied.

4. 4.

   True or False: Shear modulus is always a positive value.

   • True
   • False

   Hint

   Consider how materials respond to stress.

5. 5.

   A cylindrical bar with a radius of 0.01 m and length 1 m is subjected to a shear force of 100 N. Calculate the shear stress and shear modulus if the resulting shear strain observed is 0.02.

   Hint

   Use the area of the circular cross section to find shear stress.

6. 6.

   A material has a shear modulus of 80 GPa. If the shear stress applied is 32 MPa, what is the shear strain induced in the material?

   Hint

   Make sure to use consistent units for stress to get shear strain.