Mechanical Engineering - Strength of Materials - Bending Moment and Shear Force

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Question - 1

Which of the following are the statically determinate beams?

  • A Cantilever beam
  • B Overhanging beam
  • C Simply supported beam
  • D All of the above

Question - 2

Which of the following are the statically indeterminate beams?

  • A Fixed beams
  • B Continuous beams
  • C Both (a) and (b)
  • D None of these

Question - 3

In a cantilever with uniformly distributed load, the shearing force varies following a

  • A linear law
  • B parabolic law
  • C cubic law
  • D None of these

Question - 4

In a simply supported beam carrying a uniformly distributed load of w per unit run over the whole span, the maximum bending moment is equal to

  • A \(\frac{wl^2}{4}\)
  • B \(\frac{wl^2}{6}\)
  • C \(\frac{wl^4}{16}\)
  • D \(\frac{wl^2}{8}\)

Question - 5

A cantilever, carrying a load whose intensity varies uniformly from zero at the free end to w per unit run at the fixed end, the shear force changes following a

  • A linear law
  • B parabolic law
  • C cubic law
  • D None of these

Question - 6

In a cantilever of length l carrying a load whose intensity varies uniformly from zero at the free end to w per unit run at the fixed end, the maximum bending moment is

  • A \(\frac{wl}{3}\)
  • B \(\frac{wl^2}{3}\)
  • C \(\frac{wl^3}{6}\)
  • D \(\frac{wl^2}{6}\)

Question - 7

Bending moment at supports in case of simply supported beams is always

  • A zero
  • B less than unity
  • C more than unity
  • D None of these

Question - 8

In a simply supported beam, carrying a load whose intensity varies uniformly from zero at one end to w per unit run at the other end the maximum bending moment is equal to

  • A \(\frac{wl^2}{9\sqrt{3}}\)
  • B \(\frac{wl^2}{8}\)
  • C \(\frac{wl^2}{12}\)
  • D \(\frac{wl^2}{24}\)

Question - 9

The deflection at the free end of a cantilever of length I carrying a point load w at its free end is given as

  • A \(\frac{wl}{2EI}\)
  • B \(\frac{wl}{2EI}\)
  • C \(\frac{wl^3}{3EI}\)
  • D \(\frac{wl^3}{2EI}\)

Question - 10

A simply supported beam of span I is carrying point load wat the mid span. What is the deflection at the centre of the beam?

  • A \(\frac{wl^2}{48EI}\)
  • B \(\frac{5wl^3}{384EI}\)
  • C \(\frac{wl^3}{48EI}\)
  • D None of these
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