In a material, if the strain is 0.01 and the Young's modulus is 200 GPa, what is

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Question: In a material, if the strain is 0.01 and the Young\'s modulus is 200 GPa, what is the stress in the material?

Options:

Correct Answer: 200 MPa

Solution:

Stress = Young\'s modulus * strain = 200 GPa * 0.01 = 2 GPa = 2000 MPa.

In a material, if the strain is 0.01 and the Young's modulus is 200 GPa, what is the stress in the material?

In a material, if the strain is 0.01 and the Young's modulus is 200 GPa, what is the stress in the material?

Step 1: Understand the terms. Strain is a measure of deformation, and Young's modulus is a measure of stiffness of a material.
Step 2: Identify the values given in the question. Strain = 0.01 and Young's modulus = 200 GPa.
Step 3: Convert Young's modulus from GPa to a more manageable unit if needed. 200 GPa is the same as 200,000 MPa.
Step 4: Use the formula for stress, which is Stress = Young's modulus * strain.
Step 5: Substitute the values into the formula: Stress = 200 GPa * 0.01.
Step 6: Calculate the result: 200 GPa * 0.01 = 2 GPa.
Step 7: Convert the result to MPa if needed. 2 GPa is the same as 2000 MPa.
Step 8: State the final answer: The stress in the material is 2000 MPa.

Stress, Strain, and Young's Modulus – This question tests the understanding of the relationship between stress, strain, and Young's modulus in materials, which is fundamental in material science and engineering.