Material Science: Stress and Strain
10 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the radius of the spring in meters?

  • 0.02
  • 0.004
  • 0.002 (correct)
  • 0.01

    • Strain is a measured quantity with specific units.

    False (B)

    What is the formula for calculating stress?

    Stress = Force / Area

    Young's Modulus is calculated as the ratio of _____ to _____ .

    <p>stress, strain</p> Signup and view all the answers

    Match the terms with their definitions:

    <p>Stress = Force acting per unit area Strain = Deformation of a material due to stress Young's Modulus = Stiffness or resistance to deformation Area = Cross-sectional area of the spring</p> Signup and view all the answers

    What is the calculated area of the spring?

    <p>12.56 x 10^-6 m² (A)</p> Signup and view all the answers

    The stress on the spring is 15.92 x 10^6 N/m².

    <p>True (A)</p> Signup and view all the answers

    What is the change in length of the spring?

    <p>0.02 meters</p> Signup and view all the answers

    The Young's Modulus of the spring is _____ x 10^6 N/m².

    <p>1592</p> Signup and view all the answers

    Which of the following statements is true regarding stress?

    <p>Stress is measured in Newtons per square meter. (C)</p> Signup and view all the answers

    Study Notes

    Problem Description

    • A spring with a 4 mm diameter and an original length of 2 meters is stretched by a 200 Newton force.
    • The final length is 2.02 meters.
    • The purpose is to calculate stress, strain, and Young's modulus.

    Calculations

    • Area:
      • The spring's area is calculated using π * r², where r is the radius.
      • The radius is 2 mm (0.002 meters).
      • The area is 12.56 x 10⁻⁶ square meters.
    • Stress:
      • Stress is force divided by area: Stress = Force / Area
      • Calculated stress is 15.92 x 10⁶ Newtons per square meter.
    • Strain:
      • Strain is change in length divided by original length: Strain = (Change in Length) / (Original Length)
      • The change in length is 0.02 meters (2.02 meters - 2 meters).
      • Strain is 0.01.
      • Strain is dimensionless.
    • Young's Modulus (Modulus of Elasticity):
      • Young's modulus is stress divided by strain: Young's Modulus = Stress / Strain
      • Calculated Young's modulus is 1592 x 10⁶ Newtons per square meter.

    Key Concepts

    • Stress: Force per unit area of a material, measured in Newtons per square meter (N/m²).
    • Strain: Material deformation from applied stress, a dimensionless quantity (change in length divided by original length).
    • Young's Modulus (Modulus of Elasticity): Measures a material's stiffness—resistance to deformation, calculated as stress divided by strain, and also measured in N/m².

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    This quiz explores concepts in material science, focusing on the calculations of stress, strain, and Young's modulus of a spring. It involves determining mechanical properties based on given parameters such as force and dimensions. Test your understanding of these fundamental principles in solid mechanics.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser