6.2. Relating axial force and axial strain

Try these first

1. 1.

   What does axial strain measure?

   Hint

   Think about how length changes under force.

2. 2.

   What is Young's Modulus?

   Hint

   This is a key property of materials.

3. 3.

   What is the relationship between axial force and axial strain?

   • A = F/ε
   • F = E × A × ε
   • σ = ε/E

   Hint

   Think about how stress relates to both force and area.

4. 4.

   True or False: Axial strain is independent of the material's Young's Modulus.

   • True
   • False

   Hint

   Recall how stiffness influences strain response.

5. 5.

   Calculate the axial force required to achieve an axial strain of 0.005 in a steel cylinder of cross-sectional area 0.02 m², given that Young's modulus for steel is 200 GPa.

   Hint

   Make sure to convert Young's modulus to N/m² before calculating.

6. 6.

   If cylindrical hollow pipes experience a strain of 0.002 when a 1000 N axial force is applied, determine the Young's Modulus if the cross-sectional area is 0.01 m².

   Hint

   Remember the definitions of stress and strain to find Young's Modulus.