If the Young's modulus of a material is 100 GPa and it is subjected to a tensile

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Question: If the Young\'s modulus of a material is 100 GPa and it is subjected to a tensile stress of 200 MPa, what is the strain produced?

Options:

Correct Answer: 0.002

Solution:

Strain = Stress / Young\'s modulus = 200 MPa / 100 GPa = 0.002.

If the Young's modulus of a material is 100 GPa and it is subjected to a tensile stress of 200 MPa, what is the strain produced?

If the Young's modulus of a material is 100 GPa and it is subjected to a tensile stress of 200 MPa, what is the strain produced?

Step 1: Understand the terms. Young's modulus is a measure of how much a material will stretch or compress under stress. It is given in gigapascals (GPa).
Step 2: Convert the Young's modulus from GPa to MPa for easier calculation. 1 GPa = 1000 MPa, so 100 GPa = 100000 MPa.
Step 3: Identify the tensile stress given in the problem, which is 200 MPa.
Step 4: Use the formula for strain, which is Strain = Stress / Young's modulus.
Step 5: Substitute the values into the formula: Strain = 200 MPa / 100000 MPa.
Step 6: Perform the division: 200 / 100000 = 0.002.
Step 7: Conclude that the strain produced is 0.002.

Young's Modulus – A measure of the stiffness of a material, defined as the ratio of tensile stress to tensile strain.
Tensile Stress – The force applied per unit area in a material, causing it to stretch.
Strain – The deformation per unit length of a material when subjected to stress.