Theory Of Structures MCQ

Test your knowledge with important Theory Of Structures MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Theory Of Structures MCQs on Bissoy. Bissoy App

• In a shaft, the shear stress is not directly proportional to
  ক

  Radius of the shaft

  খ

  Angle of twist

  গ

  Length of the shaft

  ঘ

  Modulus of rigidity
• Pick up the incorrect statement from the following:<br>The torsional resistance of a shaft is directly proportional to
  ক

  Modulus of rigidity

  খ

  Angle of twist

  গ

  Reciprocal of the length of the shaft

  ঘ

  Moment of inertia of the shaft section
• The general expression for the B.M. of a beam of length $$l$$ is the beam carries $${\text{M}} = \frac{{{\text{w}}l}}{2} \times - \frac{{{\text{w}}{{\text{x}}^2}}}{2}$$
  ক

  A uniformly distributed load w/unit length

  খ

  A load varying linearly from zero at one end to w at the other end

  গ

  An isolated load at mid span

  ঘ

  None of these
• The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is
  ক

  $$\frac{{{\text{wL}}}}{2}$$

  খ

  $$\frac{{{\text{w}}{{\text{L}}^2}}}{4}$$

  গ

  $$\frac{{{\text{w}}{{\text{L}}^2}}}{8}$$

  ঘ

  $$\frac{{{\text{w}}{{\text{L}}^2}}}{{12}}$$
• The strain energy due to volumetric strain
  ক

  Is directly proportional to the volume

  খ

  Is directly proportional to the square of exerted pressure

  গ

  Is inversely proportional to Bulk modulus

  ঘ

  All the above
• A shaft subjected to a bending moment M and a torque T, experiences
  ক

  Maximum bending stress $$ = \frac{{32{\text{M}}}}{{\pi {{\text{d}}^3}}}$$

  খ

  Maximum shear stress $$ = \frac{{16{\text{T}}}}{{\pi {{\text{d}}^3}}}$$

  গ

  Both A and B

  ঘ

  Neither A nor B
• A shaft rotating N.R.M. under a torque T, transmits a power
  ক

  $$\frac{{{\text{T}}\pi {\text{N}}}}{{30}}$$  Newton metres/sec

  খ

  $$\frac{{{\text{T}}\pi {\text{N}}}}{{30}}$$  Newton metres/min

  গ

  $$\frac{{{\text{T}}\pi {\text{N}}}}{{60}}$$  Newton metres/min

  ঘ

  $$\frac{{{\text{T}}\pi {\text{N}}}}{{60}}$$  Newton metres/sec
• The greatest load which a spring can carry without getting permanently distorted, is called
  ক

  Stiffness

  খ

  Proof resilience

  গ

  Proof stress

  ঘ

  Proof load
• The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called
  ক

  Stiffness

  খ

  Proof resilience

  গ

  Proof stress

  ঘ

  Proof load
• The area of the core of a column of cross sectional area A, is
  ক

  $$\frac{1}{3}{\text{A}}$$

  খ

  $$\frac{1}{6}{\text{A}}$$

  গ

  $$\frac{1}{{12}}{\text{A}}$$

  ঘ

  $$\frac{1}{{18}}{\text{A}}$$
• The equivalent length of a column of length L having one end fixed and the other end free, is
  ক

  2L

  খ

  L

  গ

  $$\frac{{\text{L}}}{2}$$

  ঘ

  $$\frac{{\text{L}}}{{\sqrt 2 }}$$
• The equation of a parabolic arch of span $$l$$ and rise h, is given by
  ক

  $${\text{y}} = \frac{{\text{h}}}{{{l^2}}} \times \left( {1 - {\text{x}}} \right)$$

  খ

  $${\text{y}} = \frac{{2{\text{h}}}}{{{l^2}}} \times \left( {1 - {\text{x}}} \right)$$

  গ

  $${\text{y}} = \frac{{3{\text{h}}}}{{{l^2}}} \times \left( {1 - {\text{x}}} \right)$$

  ঘ

  $${\text{y}} = \frac{{4{\text{h}}}}{{{l^2}}} \times \left( {1 - {\text{x}}} \right)$$
• A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is
  ক

  $$\frac{{{\text{WL}}}}{{2{\text{AE}}}}$$

  খ

  $$\frac{{{\text{WL}}}}{{{\text{AE}}}}$$

  গ

  $$\frac{{{{\text{W}}^2}{\text{L}}}}{{{\text{AE}}}}$$

  ঘ

  $$\frac{{{{\text{W}}^2}{\text{L}}}}{{2{\text{AE}}}}$$
• In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is
  ক

  $$\frac{{\text{L}}}{2}$$

  খ

  $$\frac{{\text{L}}}{3}$$

  গ

  $$\frac{{\text{L}}}{4}$$

  ঘ

  $$\frac{{\text{L}}}{5}$$
• In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is
  ক

  $$\frac{{\text{L}}}{2}$$

  খ

  $$\frac{{\text{L}}}{3}$$

  গ

  $$\frac{{\text{L}}}{4}$$

  ঘ

  $$\frac{{\text{L}}}{5}$$
• The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load $$l$$ t per horizontal length, is (where $${I_{\text{c}}}$$ is the M.I. at the crown, which varies as the slope of the arch).
  ক

  $$\frac{{50}}{{{\text{E}}{I_{\text{c}}}}}$$

  খ

  $$\frac{{100}}{{{\text{E}}{I_{\text{c}}}}}$$

  গ

  $$\frac{{150}}{{{\text{E}}{I_{\text{c}}}}}$$

  ঘ

  $$\frac{{200}}{{{\text{E}}{I_{\text{c}}}}}$$
• If E, N, K and $$\frac{1}{{\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good
  ক

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

  খ

  $${\text{E}} = 2{\text{N}}\left( {1 + \frac{1}{{\text{m}}}} \right)$$

  গ

  $$\frac{3}{2}{\text{K}}\left( {1 - \frac{2}{{\text{m}}}} \right) = {\text{N}}\left( {1 + \frac{1}{{\text{m}}}} \right)$$

  ঘ

  All the above
• For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is
  ক

  30°

  খ

  45°

  গ

  60°

  ঘ

  90°
• At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by
  ক

  Depth of the section

  খ

  Depth of the neutral axis

  গ

  Maximum tensile stress at the section

  ঘ

  Maximum compressive stress at the section
• The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is
  ক

  2.75 cm

  খ

  3.00 cm

  গ

  3.50 cm

  ঘ

  4.25 cm
• A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be
  ক

  $$\frac{{\text{P}}}{{{{\text{a}}^2}}}$$

  খ

  $$\frac{{2{\text{P}}}}{{{{\text{a}}^2}}}$$

  গ

  $$\frac{{3{\text{P}}}}{{{{\text{a}}^2}}}$$

  ঘ

  $$\frac{{4{\text{P}}}}{{{{\text{a}}^2}}}$$
• A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be
  ক

  $$\frac{{{\text{wa}}}}{{27}}$$

  খ

  $$\frac{{{\text{w}}{{\text{a}}^2}}}{{27}}$$

  গ

  $$\frac{{{{\text{w}}^2}{\text{a}}}}{{\sqrt {27} }}$$

  ঘ

  $$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$
• The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is
  ক

  Circle

  খ

  Parabola

  গ

  Ellipse

  ঘ

  Straight line
• If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:
  ক

  Q = S + F

  খ

  Q = S - F

  গ

  Q = F - S

  ঘ

  Q = S × F
• The vertical reaction for the arch is
  ক

  $$\frac{{{\text{Wa}}}}{{2l}}$$

  খ

  $$\frac{{{\text{W}}l}}{{\text{a}}}$$

  গ

  $$\frac{{{\text{Wa}}}}{l}$$

  ঘ

  $$\frac{{{\text{W}}{{\text{a}}^2}}}{{2l}}$$
• For the close coil helical spring of the maximum deflection is
  ক

  $$\frac{{{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{N}}}}$$

  খ

  $$\frac{{2{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{N}}}}$$

  গ

  $$\frac{{4{{\text{W}}^2}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{n}}}}$$

  ঘ

  $$\frac{{8{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{n}}}}$$
• A steel bar 5 m × 50 mm is loaded with 2,50,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:
  ক

  1.125 cm³

  খ

  2.125 cm³

  গ

  3.125 cm³

  ঘ

  4.125 cm²
• Stress may be defined as
  ক

  Force per unit length

  খ

  Force per unit volume

  গ

  Force per unit area

  ঘ

  None of these
• The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is
  ক

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

  খ

  1

  গ

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

  ঘ

  2
• The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is
  ক

  $$\frac{1}{4}$$

  খ

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

  গ

  1

  ঘ

  2