Strength Of Materials In ME MCQ

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• The relation between modulus of elasticity (E) and modulus of rigidity (C) is given by
  ক

  $${\text{C}} = \frac{{{\text{mE}}}}{{2\left( {{\text{m}} + 1} \right)}}$$

  খ

  $${\text{C}} = \frac{{2\left( {{\text{m}} + 1} \right)}}{{{\text{mE}}}}$$

  গ

  $${\text{C}} = \frac{{2{\text{mE}}}}{{\left( {{\text{m}} + 1} \right)}}$$

  ঘ

  $${\text{C}} = \frac{{\left( {{\text{m}} + 1} \right)}}{{2{\text{mE}}}}$$
• For a shaft, the shear stress at a point is __________ the distance from the axis of the shaft.
  ক

  Equal to

  খ

  Directly proportional to

  গ

  Inversely proportional to

  ঘ

  None of these
• A fixed beam is one which is fixed at _________.
  ক

  One of its ends

  খ

  Both of its ends

  গ

  The middle

  ঘ

  None of these
• A closely coiled helical spring is of mean diameter (D) and spring wire diameter (d). The spring index is the ratio of
  ক

  $$\frac{1}{{\text{d}}}$$

  খ

  $$\frac{1}{{\text{D}}}$$

  গ

  $$\frac{{\text{D}}}{{\text{d}}}$$

  ঘ

  $$\frac{{\text{d}}}{{\text{D}}}$$
• In compression test, the fracture in cast iron specimen would occur along
  ক

  The axis of load

  খ

  An oblique plane

  গ

  At right angles to the axis of specimen

  ঘ

  Would not occur
• 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

  $$\frac{{\text{E}}}{{3{\text{p}}}} \times \frac{2}{{{\text{m}} - 1}}$$
• In a stress-strain diagram as shown in the below figure, the curve ‘A’ represents<br> <img src="/images/question-image/mechanical-engineering/strength-of-materials/1528355115-32.JPG" title="Strength of Materials mcq question image" alt="Strength of Materials mcq question image">
  ক

  Mild steel

  খ

  Soft brass

  গ

  Low carbon steel

  ঘ

  Cold rolled steel
• 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
• For a beam, as shown in the below figure, when the load W is applied in the center of the beam, the maximum deflection is<br><img src="/images/question-image/mechanical-engineering/strength-of-materials/1528355034-28.JPG" title="Strength of Materials mcq question image" alt="Strength of Materials mcq question image">
  ক

  $$\frac{{{\text{W}}{l^3}}}{{48{\text{E}}I}}$$

  খ

  $$\frac{{5{\text{W}}{l^3}}}{{384{\text{E}}I}}$$

  গ

  $$\frac{{{\text{W}}{l^3}}}{{392{\text{E}}I}}$$

  ঘ

  $$\frac{{{\text{W}}{l^3}}}{{384{\text{E}}I}}$$
• 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
• For the beam shown in the below figure, the shear force diagram between A and B is<br> <img src="/images/question-image/mechanical-engineering/strength-of-materials/1528355065-25.JPG" title="Strength of Materials mcq question image" alt="Strength of Materials mcq question image">
  ক

  A horizontal line

  খ

  A vertical line

  গ

  An inclined line

  ঘ

  A parabolic curve
• 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

  $$\frac{{2{\text{m}} + 1}}{{{\text{m}} - 2}}$$
• In the below figure, the plastic range occurs<br> <img src="/images/question-image/mechanical-engineering/strength-of-materials/1528354795-26.JPG" title="Strength of Materials mcq question image" alt="Strength of Materials mcq question image">
  ক

  Before point A

  খ

  Beyond point A

  গ

  Between points A and D

  ঘ

  Between points D and E
• 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 $$\frac{1}{{10}}$$
• According to Euler's column theory, the crippling load of a column is given by $${\text{p}} = \frac{{{\pi ^2}{\text{E}}I}}{{{\text{C}}{l^2}}}.$$   In the Euler's formula, the value of C for a column with one end fixed and the other end free, is
  ক

  $$\frac{1}{2}$$

  খ

  1

  গ

  2

  ঘ

  4
• 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