Composite Bar Mechanics Quiz
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Questions and Answers

What is the stress in the steel rod when subjected to the axial load?

  • 75 MPa
  • 150 MPa
  • 125 MPa (correct)
  • 100 MPa
  • What is the stress in the copper tube when subjected to the axial load?

  • 75 MPa
  • 100 MPa
  • 50 MPa (correct)
  • 25 MPa
  • What is the load carried by the steel rod in the composite bar?

  • 35 kN (correct)
  • 45 kN
  • 30 kN
  • 40 kN
  • What is the stress in the steel rod?

    <p>50.3 MPa</p> Signup and view all the answers

    What is the stress in the copper tube?

    <p>27.9 MPa</p> Signup and view all the answers

    What is the load carried by the steel rod?

    <p>27 KN</p> Signup and view all the answers

    Calculate the stresses in the steel rod and copper tube when subjected to the axial load of 45 KN. Also, determine the load carried by each material in the composite bar.

    <p>To calculate the stresses, we can use the formula stress = force/area. The area of the steel rod can be calculated using the formula pi * (diameter)^2 / 4, and the area of the copper tube can be calculated using the formula pi * (external diameter^2 - internal diameter^2) / 4. The load carried by each material can be determined by multiplying the stress by the respective areas.</p> Signup and view all the answers

    What is the stress in the steel rod when subjected to the axial load of 45 KN?

    <p>The stress in the steel rod can be calculated using the formula stress = force/area, where the force is the axial load and the area is the cross-sectional area of the steel rod (calculated using the formula pi * (diameter)^2 / 4).</p> Signup and view all the answers

    What is the load carried by the copper tube in the composite bar under the axial load of 45 KN?

    <p>The load carried by the copper tube can be determined by multiplying the stress in the copper tube (calculated using the formula stress = force/area, where the force is the axial load and the area is the cross-sectional area of the copper tube calculated using the formula pi * (external diameter^2 - internal diameter^2) / 4) by the area of the copper tube.</p> Signup and view all the answers

    Study Notes

    Stress in Materials

    • Stress in a material under axial load can be calculated using the formula: Stress = Load / Area.
    • Axial load of 45 kN is applied to the steel rod and copper tube.

    Stress in the Steel Rod

    • The stress in the steel rod can be calculated by determining the cross-sectional area and applying the axial load.
    • Key value for steel properties: Young's modulus is significantly higher than copper, affecting load distribution.

    Stress in the Copper Tube

    • The stress in the copper tube also requires knowledge of its cross-sectional area and the applied axial load to be calculated.
    • Copper typically has lower yield strength compared to steel, influencing the stress results under the same load.

    Load Distribution in Composite Bar

    • The composite bar consists of both steel and copper, which share the applied load based on their stiffness and area.
    • The load carried by each material is impacted by their respective stress levels and material properties.

    Calculation of Stresses and Loads

    • Apply the axial load to calculate stresses in both materials:
      • For steel: Use the steel rod's area to find stress.
      • For copper: Use the copper tube's area to find stress.
    • Load carried by the steel rod can be determined by using the proportional relation based on the stress values.
    • Load carried by the copper tube can be calculated similarly, considering the overall axial load and previously determined values.

    Summary of Load and Stress Values

    • The axial load of 45 kN needs to be divided between the steel rod and copper tube, influenced by their respective mechanical properties.
    • Understanding the stress in both materials is crucial for ensuring the integrity and safety of composite structures.

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    Description

    Test your knowledge of mechanics of materials with this quiz on composite bars. Explore how to calculate stresses in a steel rod and copper tube under axial load, and determine the load carried by each material. Sharpen your understanding of composite bar behavior and material properties.

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