Mechanical Engineering - Strength of Materials - Stress and Strain

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Question - 1

There is always a limiting value of load upto which the strain totally disappears on the removal of load, the stress corresponding to this load is called

  • A elastic limit
  • B yield stress
  • C unit stress
  • D None of these

Question - 2

Total elongation produced in a bar due to its self-weight is given by

  • A \(\frac{\rho gl^2}{E}\)
  • B \(\frac{\rho gl^2}{2E}\)
  • C \(\frac{\rho gl}{E}\)
  • D \(\frac{\rho^2 gl}{E}\)

Question - 3

The elongation of a circular tapered rod is given by

  • A \(\frac{4Pl}{\pi Ed_1d_2}\)
  • B \(\frac{2Pl}{\pi Ed_1d_2}\)
  • C \(\frac{4Pl}{\pi Ed_1^2d_2}\)
  • D \(\frac{4Pl}{Ed_1d_2}\)

Question - 4

Relation between E, K and G is given by

  • A \(E=\frac{9KG}{3K+G}\)
  • B \(E=\frac{3K+G}{6KG}\)
  • C \(E=\frac{6KG}{K+3G}\)
  • D \(E=\frac{3KG}{3K+G}\)

Question - 5

Strain in a direction at right angle to the direction of applied force is known as

  • A lateral strain
  • B shear strain
  • C volumetric strain
  • D None of these

Question - 6

Maximum stress  (\(\sigma_{max}\)) induced in a bar of length l, rotating at an angular velocity \(\omega\) , is given by

  • A \(\frac{1}{2}\rho \omega^2l^2\)
  • B \(\frac{1}{8}\rho \omega^2l^2\)
  • C \(\rho \omega^2l^2\)
  • D \(\rho \omega^2l^2\)

Question - 7

However complex the state of stress may be in a body the number of principal planes are always

  • A 2
  • B 3
  • C 4
  • D 1

Question - 8

The normal stress on a plane whose normal is inclined at angle θ with the line of action of the uniaxial stress σx is given by

  • A σx l cos2θ
  • B σx l sin2θ
  • C σx cos2θ
  • D σx sin2θ

Question - 9

If the angle between the two planes is θ, then the angle between the normal stress and the resultant stress on the oblique planes in the case of uniaxial stress is

  • A \(\frac{\theta}{2}\)
  • B \(\theta\)
  • C \(2\theta\)
  • D \(\frac{\theta}{4}\)

Question - 10

In the case of biaxial state of normal stresses, the maximum shear stress is equal to

  • A the sum of the normal stresses
  • B the difference of normal stresses
  • C half the difference of normal stresses
  • D half the sum of normal stresses
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