A material is subjected to a tensile stress of 100 MPa and experiences a strain

A material is subjected to a tensile stress of 100 MPa and experiences a strain of 0.002. What is its Young's modulus?

A material is subjected to a tensile stress of 100 MPa and experiences a strain of 0.002. What is its Young's modulus?

Step 1: Understand the terms. Stress is the force applied per unit area, and strain is the deformation of the material compared to its original length.
Step 2: Identify the values given in the question. The tensile stress is 100 MPa (megapascals) and the strain is 0.002.
Step 3: Recall the formula for Young's modulus (Y), which is Y = Stress / Strain.
Step 4: Substitute the values into the formula. Replace 'Stress' with 100 MPa and 'Strain' with 0.002.
Step 5: Perform the calculation: 100 MPa divided by 0.002 equals 50,000 MPa.
Step 6: Convert 50,000 MPa to GPa (gigapascals) since 1 GPa = 1,000 MPa. Therefore, 50,000 MPa is equal to 50 GPa.
Step 7: Conclude that the Young's modulus of the material is 50 GPa.

Young's Modulus – Young's modulus is a measure of the stiffness of a material, defined as the ratio of tensile stress to tensile strain.