1.6. Elastic Constants and Their Relationships

Try these first

1. 1.

   What is Young's Modulus?

   Hint

   Think about the elasticity of materials.

2. 2.

   State the units of shear stress.

   Hint

   What are stress units in physics?

3. 3.

   What does Young's Modulus represent?

   • Stiffness of a material
   • Weight of a material
   • Density of a material

   Hint

   Think of elasticity in materials.

4. 4.

   True or False: A higher Poisson's Ratio means a material will stretch more in lateral directions.

   • True
   • False

   Hint

   Consider how materials behave under load.

5. 5.

   A material exhibits a Young’s Modulus of 200 GPa and a Poisson’s Ratio of 0.25. Determine the Shear Modulus and Bulk Modulus.

   Hint

   Make sure to apply your formulas correctly for each modulus.

6. 6.

   A steel beam of length 2m and cross-sectional area 0.01m² is subjected to a tensile force of 40000N. Calculate the Young’s Modulus if the resulting elongation is 2mm.

   Hint

   Ensure units are consistent while performing calculations.