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If the strain in a material is 0.01 and the Young's modulus is 150 GPa, what is

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Question: If the strain in a material is 0.01 and the Young\'s modulus is 150 GPa, what is the stress?

Options:

  1. 1.5 MPa
  2. 15 MPa
  3. 150 MPa
  4. 1500 MPa

Correct Answer: 150 MPa

Solution:

Stress = Young\'s modulus × Strain = 150 GPa × 0.01 = 150 MPa.

If the strain in a material is 0.01 and the Young's modulus is 150 GPa, what is

Practice Questions

Q1
If the strain in a material is 0.01 and the Young's modulus is 150 GPa, what is the stress?
  1. 1.5 MPa
  2. 15 MPa
  3. 150 MPa
  4. 1500 MPa

Questions & Step-by-Step Solutions

If the strain in a material is 0.01 and the Young's modulus is 150 GPa, what is the stress?
  • Step 1: Understand the formula for stress, which is Stress = Young's modulus × Strain.
  • Step 2: Identify the values given in the question: Young's modulus is 150 GPa and strain is 0.01.
  • Step 3: Convert Young's modulus from GPa to MPa for easier calculation. 1 GPa = 1000 MPa, so 150 GPa = 150,000 MPa.
  • Step 4: Multiply the Young's modulus (150,000 MPa) by the strain (0.01).
  • Step 5: Calculate the result: 150,000 MPa × 0.01 = 1500 MPa.
  • Step 6: Write the final answer: The stress is 1500 MPa.
  • Stress and Strain Relationship – The relationship between stress, strain, and Young's modulus is fundamental in materials science, where stress is calculated as the product of Young's modulus and strain.
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