If a material has a Young's modulus of 200 GPa and is subjected to a tensile str

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

Options:

Correct Answer: 0.0005

Solution:

Strain can be calculated using the formula: Strain = Stress / Young\'s Modulus. Thus, Strain = 100 MPa / 200 GPa = 0.0005.

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

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

Step 1: Understand the terms. Young's modulus is a measure of how much a material will stretch or compress under stress. Stress is the force applied to a material divided by its area.
Step 2: Identify the values given in the question. Young's modulus (E) is 200 GPa (gigapascals) and tensile stress (σ) is 100 MPa (megapascals).
Step 3: Convert the units if necessary. 1 GPa = 1000 MPa, so 200 GPa = 200,000 MPa.
Step 4: Use the formula for strain (ε): Strain = Stress / Young's Modulus.
Step 5: Plug in the values: Strain = 100 MPa / 200,000 MPa.
Step 6: Calculate the strain: Strain = 0.0005.

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, typically measured in Pascals (Pa).
Strain – The deformation per unit length of a material when subjected to stress.