Elasticity
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Questions and Answers

What is the force that causes a wire to break called?

  • Working stress
  • Breaking stress
  • Tensile strength
  • Breaking force (correct)
  • What is the temporary loss of elastic properties due to repeated alternating deforming forces called?

  • Stress
  • Elastic after effect
  • Plasticity
  • Elastic fatigue (correct)
  • Why does a wire of double the thickness of another wire bear a maximum force four times that of the thinner wire?

  • Because the area of cross-section of the thicker wire is four times that of the thinner wire (correct)
  • Because the material of the thicker wire is stronger
  • Because the length of the thicker wire is double that of the thinner wire
  • Because the thickness of the wire is directly proportional to the breaking force
  • Why do spring balances show wrong readings after they have been used for a long time?

    <p>Due to elastic fatigue</p> Signup and view all the answers

    What is the significance of the point B on the stress-strain curve?

    <p>It is the point at which the wire begins to flow and break</p> Signup and view all the answers

    What is the time delay in regaining original shape after removal of deforming force called?

    <p>Elastic after effect</p> Signup and view all the answers

    What is the property of matter that enables it to regain its original shape and size after removal of deforming force?

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

    What is the ratio of normal stress to volumetric strain within the elastic limits called?

    <p>Bulk modulus</p> Signup and view all the answers

    What occurs when a force is applied to a body, resulting in internal restoring forces?

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

    Why is the working stress of a wire always kept lower than the breaking stress?

    <p>To prevent the wire from breaking</p> Signup and view all the answers

    What is the nature of stress in a beam when it is bent?

    <p>May be compressive or tensile</p> Signup and view all the answers

    What happens to a material when it is subjected to a stress that exceeds its elastic limit?

    <p>It undergoes a permanent change in shape</p> Signup and view all the answers

    What is the elasticity of a rigid body?

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

    What is the bulk modulus of elasticity of a gas?

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

    What is the torque required to produce a unit twist in a hollow shaft?

    <p>$\frac{\pi\eta (r_2^4 - r_1^4)}{2l}$</p> Signup and view all the answers

    What is the work done in twisting a cylinder through an angle θ?

    <p>It is equal to $\frac{1}{2}Cθ^2$.</p> Signup and view all the answers

    What is the range of Poisson's ratio in theoretical value?

    <p>-1 &lt; σ &lt; 0.5</p> Signup and view all the answers

    What is the relation between Y, k, η and σ?

    <p>All of the above</p> Signup and view all the answers

    What happens to the radius of a bar when it is stretched?

    <p>It decreases</p> Signup and view all the answers

    What is the expression for volumetric strain?

    <p>dV / V</p> Signup and view all the answers

    What is the angle of twist in torsion of a cylinder?

    <p>θ = τL / GJ</p> Signup and view all the answers

    What is the elastic constant related to the change in volume of a material?

    <p>Bulk modulus</p> Signup and view all the answers

    What is the torsional rigidity of a cylindrical shell proportional to?

    <p>Radius to the fourth power</p> Signup and view all the answers

    What is the work done in twisting a cylinder through an angle θ proportional to?

    <p>θ squared</p> Signup and view all the answers

    What is the unit of volumetric strain?

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

    What is the torque required to produce a unit twist in a solid shaft?

    <p>$\frac{\pi r^4}{l}$</p> Signup and view all the answers

    What is the range of Poisson's ratio in theoretical value?

    <p>-1 &lt; σ &lt; 0.5</p> Signup and view all the answers

    If a long bar has a length L and radius r, what is the expression for the volumetric strain?

    <p>dV / V = (dl / L) + (2dr / r)</p> Signup and view all the answers

    What is the modulus of elasticity related to the change in shape of a material?

    <p>Young's modulus (Y)</p> Signup and view all the answers

    What is the relationship between Y, k, η, and σ?

    <p>Y = 9Kη / (3K + η), σ = (3K - 2η) / (6K + 2η)</p> Signup and view all the answers

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