Strength of Materials Chapter 1 Quiz: Simple Stress & Strain
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Questions and Answers

If a steel rod of 1 m length has to transmit a force of 15 kN without stretching more than 1 mm, what is the minimum cross-sectional area required?

  • 150 mm2 (correct)
  • 150 m2
  • 75 m2
  • 75 mm2

    • What is the unit of strain?

  • No unit
  • mm (correct)
  • mm2
  • N/mm2

    • What is the proper sequence of the following terms: Proportional limit, elastic limit, yielding, failure?

  • Proportional limit, elastic limit, yielding, failure (correct)
  • Elastic limit, proportional limit, yielding, failure
  • Yielding, proportional limit, elastic limit, failure
  • None of the above

    • What is the volumetric strain for a bar subjected to normal stress on all its surfaces?

    <p>$E(1-2v)(\sigma_x + \sigma_y + \sigma_z)$</p> Signup and view all the answers

    A bar of length L metres extends by l mm under a tensile force of P. What is the strain produced in the bar?

    <p>$\frac{l}{L}$</p> Signup and view all the answers

    If a tensile load of 500 N is applied to a circular rod of diameter 5 mm, what is the approximate normal stress?

    <p>25 MPa</p> Signup and view all the answers

    In a stress-strain of a material, Hooke's Law is valid up to

    <p>Elastic limit</p> Signup and view all the answers

    Which among of the following is the most elastic?

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

    Poisson's ratio of which of the following materials is nearly zero?

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

    If Poisson's ratio for a material is 0.5, then the elastic modulus for the material is

    <p>equal to its shear modulus</p> Signup and view all the answers

    The stress due to unit strain is

    <p>Modulus of elasticity</p> Signup and view all the answers

    Young’s modulus, Bulk modulus (K) and shear modulus (G) are related by

    <p>$1 × 10^3$ N/mm2</p> Signup and view all the answers

    An alloy wire of 2 mm cross-sectional area and 12 N weight hangs freely under its own weight. The maximum length of the wire, if its extension is not to exceed 0.6mm. Where E = 150 GPa

    <p>$E = 30 m$</p> Signup and view all the answers

    The relationship between true strain (εT) and engineering strain (εE) in a uniaxial tension test is given as

    <p>$εE = ln (1 + εT)$</p> Signup and view all the answers

    Whenever a material is loaded within elastic limit, stress is _______ strain.

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

    If the ratio $G/E = 0.4$, the Poisson’s ratio will be:

    <p>0.3</p> Signup and view all the answers

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