Stress-Strain Curve Quiz
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Questions and Answers

What is the region in the stress-strain curve where Hooke's law is obeyed?

  • Region C to D
  • Region B to C
  • Region A to B
  • Region O to A (correct)

    • What is the point in the stress-strain curve known as the yield point?

  • Point C
  • Point A
  • Point D
  • Point B (correct)

    • What property of the material does the stress-strain curve help us understand?

  • The color of the material
  • How a given material deforms with increasing loads (correct)
  • The thermal expansion of the material
  • The electrical conductivity of the material

    • What is the stress-strain curve a graphical representation of?

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

    What does the applied force per unit area represent in the stress-strain curve?

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

    What is the term used to describe the portion of the stress-strain curve where strain increases rapidly even for a small change in stress?

    <p>Plastic deformation</p> Signup and view all the answers

    At which point on the stress-strain curve does the material exhibit permanent set and strain is not zero even when the stress is zero?

    <p>Point C</p> Signup and view all the answers

    What is the term used to describe the point on the stress-strain curve that represents the ultimate tensile strength of the material?

    <p>Ultimate tensile strength</p> Signup and view all the answers

    When does additional strain occur even by a reduced applied force and fracture ultimately occurs?

    <p>At point E</p> Signup and view all the answers

    If the ultimate strength and fracture points on the stress-strain curve are close, what is the material said to be?

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

    Stress and strain are directly proportional in the region from A to B on the stress-strain curve

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

    The yield point on the stress-strain curve is also known as the elastic limit

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

    The stress-strain curve for compression and shear stress is different from that of tension

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

    The stress-strain curve helps us understand how a material deforms under varying loads

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

    The stress-strain curve for a given material is always linear from O to A

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

    True or false: When the load is removed at point C between B and D, the body regains its original dimension.

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

    True or false: Beyond the ultimate tensile strength point, additional strain is produced even by a reduced applied force.

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

    True or false: If the ultimate strength and fracture points D and E are close, the material is said to be ductile.

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

    True or false: The material is said to have a permanent set when the stress is zero but the strain is not zero.

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

    True or false: The deformation is said to be plastic deformation when the ultimate tensile strength and fracture points D and E are far apart.

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

    From the graph, we can see that in the region between O to A, the curve is ______.

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

    The point B in the curve is known as ______ and the corresponding stress is known as yield strength (σ y ) of the material.

    <p>yield point</p> Signup and view all the answers

    In the region from A to B, stress and strain are not ______.

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

    The stress-strain curves vary from material to ______.

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

    The body regains its original dimensions when the applied force is ______.

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

    Beyond the ultimate tensile strength point, additional strain is produced even by a reduced applied force and fracture occurs at point ______

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

    The portion of the curve between B and D shows ______

    <p>plastic deformation</p> Signup and view all the answers

    If the ultimate strength and fracture points D and E are close, the material is said to be ______

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

    When the load is removed, say at some point C between B and D, the body does not regain its original ______

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

    If they are far apart, the material is said to be ______

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

    Match the following terms with their descriptions:

    <p>Elastic limit = The point on the stress-strain curve beyond which permanent deformation occurs Plastic deformation = Deformation that occurs beyond the yield strength and does not recover upon removal of the load Ultimate tensile strength = The maximum stress a material can withstand before fracturing Brittle material = A material in which the ultimate strength and fracture points are close</p> Signup and view all the answers

    Match the following points on the stress-strain curve with their descriptions:

    <p>Point C = The point where the load is removed between B and D, causing the material to exhibit permanent set Point D = Represents the ultimate tensile strength of the material Point E = The point where fracture occurs, usually beyond the ultimate tensile strength Point B = The yield point, where the material transitions from elastic to plastic deformation</p> Signup and view all the answers

    Match the following statements with the correct material behavior:

    <p>Ductile material = Material in which the ultimate strength and fracture points D and E are far apart Brittle material = Material in which the ultimate strength and fracture points D and E are close Elastic deformation = Material behavior in the region from O to A on the stress-strain curve Plastic deformation = Material behavior in the region beyond the yield point</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>Permanent set = Deformation that remains in a material even when the stress is zero Stress = Force per unit area applied to a material Strain = Measure of deformation in a material relative to its original dimension Fracture = The point at which a material breaks due to applied stress</p> Signup and view all the answers

    Match the following material behaviors with their descriptions:

    <p>Elastic deformation = Material behavior in which the material returns to its original shape after the load is removed Plastic deformation = Material behavior in which the material does not return to its original shape after the load is removed Ductile material = Material that can undergo significant plastic deformation before fracturing Brittle material = Material that fractures with little or no plastic deformation</p> Signup and view all the answers

    Explain the concept of plastic deformation as it relates to the stress-strain curve.

    <p>Plastic deformation occurs when the stress developed exceeds the yield strength and strain increases rapidly, even for a small change in stress. This leads to a permanent set in the material.</p> Signup and view all the answers

    What is the significance of the ultimate tensile strength (σu) point on the stress-strain curve?

    <p>The point σu represents the maximum stress a material can withstand before additional strain is produced even by a reduced applied force, ultimately leading to fracture.</p> Signup and view all the answers

    Differentiate between brittle and ductile materials based on the stress-strain curve.

    <p>If the ultimate strength and fracture points are close, the material is brittle. If they are far apart, the material is ductile.</p> Signup and view all the answers

    Describe the behavior of a material when it exhibits permanent set.

    <p>When a material exhibits permanent set, even when the stress is zero, the strain is not zero, indicating that the material has undergone plastic deformation and does not return to its original dimensions.</p> Signup and view all the answers

    Explain the relationship between stress and strain in the portion of the curve between points B and D on the stress-strain curve.

    <p>In the portion between B and D, the stress developed exceeds the yield strength, leading to rapid strain increase and plastic deformation in the material.</p> Signup and view all the answers

    What type of material can be stretched to cause large strains and returns to its original shape?

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

    What behavior is exhibited by the elastic tissue of aorta in the stress-strain curve?

    <p>It does not obey Hooke’s law over most of the region</p> Signup and view all the answers

    What is the term used for substances like rubber and tissue of aorta which can be stretched to cause large strains?

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

    Rubber can be stretched to several times its original length and still returns to its original shape:

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

    The stress-strain curve for the elastic tissue of aorta obeys Hooke’s law over most of the region:

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

    Elastomers are substances like tissue of aorta and rubber which can be stretched to cause large strains:

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

    Rubber can be pulled to several times its original length and still returns to its original shape

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

    Although elastic region is very large, the material does not obey Hooke’s law over most of the region

    <p>elastic tissue of aorta</p> Signup and view all the answers

    There is no well defined plastic region for substances like tissue of aorta, rubber etc. which can be stretched to cause large strains

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

    Explain the behavior of elastomers as described in the text.

    <p>Elastomers are substances like tissue of aorta and rubber which can be stretched to cause large strains and still return to their original shape.</p> Signup and view all the answers

    What is the significance of the ultimate tensile strength (σu) point on the stress-strain curve?

    <p>The ultimate tensile strength point represents the maximum stress a material can withstand before it fractures, providing insight into the material's strength.</p> Signup and view all the answers

    What is the behavior exhibited by the elastic tissue of aorta in the stress-strain curve?

    <p>The elastic tissue of aorta exhibits a large elastic region, but it does not obey Hooke’s law over most of the region and has no well-defined plastic region.</p> Signup and view all the answers

    Rubber can be pulled to several times its original length and still returns to its original shape

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

    Although elastic region is very large, the material does not obey Hooke’s law over most of the region

    <p>elastic tissue of aorta</p> Signup and view all the answers

    Substances like tissue of aorta, rubber etc. which can be stretched to cause large strains are called

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

    Study Notes

    Stress-Strain Curve

    • The stress-strain curve for a material under tensile stress can be obtained experimentally by stretching a test cylinder or wire and recording the fractional change in length (strain) and the applied force needed to cause the strain.
    • A graph is plotted between the stress (applied force per unit area) and the strain produced, with the resulting curve varying from material to material.
    • The stress-strain curve helps us understand how a given material deforms with increasing loads.

    Elastic Region

    • The region between O to A on the stress-strain curve is linear, where Hooke's law is obeyed.
    • In this region, the body regains its original dimensions when the applied force is removed.
    • The solid behaves as an elastic body in this region.

    Yield Point and Yield Strength

    • The point B on the stress-strain curve is known as the yield point (also known as elastic limit).
    • The corresponding stress at the yield point is known as the yield strength (σ y) of the material.
    • In the region from A to B, stress and strain are not proportional, but the body still returns to its original dimension when the load is removed.

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    Description

    Test your knowledge of stress-strain curves with this quiz. Explore the relationship between stress and strain in materials under tensile stress and gain a better understanding of the properties of materials under different forces.

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