Strength Of Materials In ME MCQ

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• The length of a conical bar is $$l$$, diameter of base is d and weight per unit volume is w. It is fixes at its upper end and hanging freely. The elongation of the bar under the action of its own weight will be
  ক

  $$\frac{{{\text{w}}{l^2}}}{{2{\text{E}}}}$$

  খ

  $$\frac{{{\text{w}}{l^2}}}{{4{\text{E}}}}$$

  গ

  $$\frac{{{\text{w}}{l^2}}}{{6{\text{E}}}}$$

  ঘ

  $$\frac{{{\text{w}}{l^2}}}{{8{\text{E}}}}$$
• A beam of T-section is subjected to a shear force of F. The maximum shear force will occur at the
  ক

  Top of the section

  খ

  Bottom of the section

  গ

  Neutral axis of the section

  ঘ

  Junction of web and flange
• A cube subjected to three mutually perpendicular stress of equal intensity p expenses a volumetric strain
  ক

  $$\frac{{3{\text{p}}}}{{\text{E}}} \times \frac{2}{{{\text{m}} - 1}}$$

  খ

  $$\frac{{3{\text{p}}}}{{\text{E}}} \times \left( {2 - {\text{m}}} \right)$$

  গ

  $$\frac{{3{\text{p}}}}{{\text{E}}} \times \left( {1 - \frac{2}{{\text{m}}}} \right)$$

  ঘ

  $$\frac{{\text{E}}}{{3{\text{p}}}} \times \frac{2}{{{\text{m}} - 1}}$$
• A column with maximum equivalent length has
  ক

  Both ends hinged

  খ

  Both ends fixed

  গ

  One end fixed and the other end hinged

  ঘ

  One end fixed and the other end free
• The shape of cantilever for uniformly distributed load will be
  ক

  Straight line

  খ

  Parabolic

  গ

  Elliptical

  ঘ

  Cubic
• When a rectangular bar of length $$l$$, breadth b and thickness t is subjected to an axial pull of P, then linear strain ($$\varepsilon $$) is given by (where E = Modulus of elasticity)
  ক

  $$\varepsilon = \frac{{\text{P}}}{{{\text{btE}}}}$$

  খ

  $$\varepsilon = \frac{{{\text{btE}}}}{{\text{P}}}$$

  গ

  $$\varepsilon = \frac{{{\text{bt}}}}{{{\text{PE}}}}$$

  ঘ

  $$\varepsilon = \frac{{{\text{PE}}}}{{{\text{bt}}}}$$
• A beam extending beyond the supports is called
  ক

  Simply supported beam

  খ

  Fixed beam

  গ

  Overhanging beam

  ঘ

  Cantilever beam
• A beam supported on more than two supports is called
  ক

  Simply supported beam

  খ

  Fixed beam

  গ

  Overhanging beam

  ঘ

  Continuous beam
• The unit of strain is
  ক

  N-mm

  খ

  N/mm

  গ

  mm

  ঘ

  No unit
• When a body is subjected to a direct tensile stress (σ) in one plane, the maximum shear stress is __________ the maximum normal stress.
  ক

  Equal to

  খ

  One-half

  গ

  Two-third

  ঘ

  Twice
• In a prismatic member made of two materials so joined that they deform equally under axial stress, the unit stresses in two materials are
  ক

  Equal

  খ

  Proportional to their respective moduli of elasticity

  গ

  Inversely proportional to their moduli of elasticity

  ঘ

  Average of the sum of moduli of elasticity
• When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known as
  ক

  Young's modulus

  খ

  Modulus of rigidity

  গ

  Bulk modulus

  ঘ

  Poisson's ratio
• When a change in length takes place, the strain is known as
  ক

  Linear strain

  খ

  Lateral strain

  গ

  Volumetric strain

  ঘ

  Shear strain
• Every direct stress is always accompanied by a strain in its own direction and an opposite kind of strain in every direction, at right angles to it. Such a strain is known as
  ক

  Linear strain

  খ

  Lateral strain

  গ

  Volumetric strain

  ঘ

  Shear strain
• Which of the following is the correct torsion equation?
  ক

  $$\frac{{\text{M}}}{I} = \frac{\sigma }{{\text{y}}} = \frac{{\text{E}}}{{\text{R}}}$$

  খ

  $$\frac{{\text{T}}}{{\text{J}}} = \frac{\tau }{{\text{R}}} = \frac{{{\text{C}}\theta }}{l}$$

  গ

  $$\frac{{\text{M}}}{{\text{R}}} = \frac{{\text{T}}}{{\text{J}}} = \frac{{{\text{C}}\theta }}{l}$$

  ঘ

  $$\frac{{\text{T}}}{l} = \frac{\tau }{{\text{J}}} = \frac{{\text{R}}}{{{\text{C}}\theta }}$$
• The object of caulking in a riveted joint is to make the joint
  ক

  Free from corrosion

  খ

  Stronger in tension

  গ

  Free from stresses

  ঘ

  Leak proof
• A thin cylindrical shell of diameter (d), length ($$l$$) and thickness (t) is subjected to an internal pressure (p). The ratio of longitudinal strain to hoop strain is
  ক

  $$\frac{{{\text{m}} - 2}}{{2{\text{m}} - 1}}$$

  খ

  $$\frac{{2{\text{m}} - 1}}{{{\text{m}} - 2}}$$

  গ

  $$\frac{{{\text{m}} - 2}}{{2{\text{m}} + 1}}$$

  ঘ

  $$\frac{{2{\text{m}} + 1}}{{{\text{m}} - 2}}$$
• The stress necessary to initiate yielding is
  ক

  Considerably greater than that necessary to continue it

  খ

  Considerably lesser than that necessary to continue it

  গ

  Greater than that necessary to stop it

  ঘ

  Lesser than that necessary to stop it
• A pressure vessel is said to be a thick shell, when
  ক

  It is made of thick sheets

  খ

  The internal pressure is very high

  গ

  The ratio of wall thickness of the vessel to its diameter is less than $$\frac{1}{{10}}$$

  ঘ

  The ratio of wall thickness of the vessel to its diameter is greater than $$\frac{1}{{10}}$$
• The strength of the shaft is judged by the_____________.
  ক

  Torque transmitted by the shaft

  খ

  Length of the shaft

  গ

  Dia. of the shaft

  ঘ

  None of these
• When a beam is subjected to bending moment, the stress at any point is __________ the distance of the point from the neutral axis.
  ক

  Equal to

  খ

  Directly proportional to

  গ

  Inversely proportional to

  ঘ

  Independent of
• When a beam is subjected to a bending moment, the strain in a layer is __________ the distance from the neutral axis.
  ক

  Equal to

  খ

  Directly proportional to

  গ

  Inversely proportional to

  ঘ

  Independent of
• In a beam subjected to pure bending, the intensity of stress in any fibre is _________ the distance of the fibre from the neutral axis.
  ক

  Equal to

  খ

  Less than

  গ

  More than

  ঘ

  Directly proportional to
• The maximum deflection of a cantilever beam of length '$$l$$' with a point load 'W' at the free end is
  ক

  $$\frac{{{\text{W}}{l^3}}}{{3{\text{E}}I}}$$

  খ

  $$\frac{{{\text{W}}{l^3}}}{{8{\text{E}}I}}$$

  গ

  $$\frac{{{\text{W}}{l^3}}}{{16{\text{E}}I}}$$

  ঘ

  $$\frac{{{\text{W}}{l^3}}}{{48{\text{E}}I}}$$
• The ratio of the largest load in a test to the original cross-sectional area of the test piece is called
  ক

  Elastic limit

  খ

  Yield stress

  গ

  Ultimate stress

  ঘ

  Breaking stress
• The bending moment diagram for a simply supported beam carrying a uniformly distributed load of ‘w’ per unit length, will be
  ক

  A horizontal line

  খ

  A vertical line

  গ

  An inclined line

  ঘ

  A parabolic curve
• A section of beam is said to be in pure bending, if it is subjected to
  ক

  Constant bending moment and constant shear force

  খ

  Constant shear force and zero bending moment

  গ

  Constant bending moment and zero shear force

  ঘ

  None of the above
• Resilience of a material is considered when it is subjected to
  ক

  Frequent heat treatment

  খ

  Fatigue

  গ

  Creep

  ঘ

  Shock loading
• The safe twisting moment for a compound shaft is equal to the
  ক

  Maximum calculated value

  খ

  Minimum calculated value

  গ

  Mean value

  ঘ

  Extreme value
• The strength of a riveted joint is equal to the
  ক

  Pull required to tear off the plate per pitch length (P_t)

  খ

  Pull required to shear off the rivet per pitch length (P_s)

  গ

  Pull required to crush the rivet per pitch length (P_c)

  ঘ

  Minimum value of P_t, P_s or P_c