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Theory of Structures problems


  • 1. 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

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 2. There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

  • Options
  • A. 1 : 1 1/2 : 2
  • B. 2 : 1 1/2 : 1
  • C. 1 : 1 : 2
  • D. none of these.
  • Discuss
  • 3. If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

  • Options
  • A.
  • B.
  • C.
  • D. all the above.
  • Discuss
  • 4. Two bars, one of steel and the other of copper having areas of cross-sections As and Ac, coefficient of expansion ?s and ?c and Young's Modulii Es and Es are rigidly connected together at the ends and subjected to temperature change of t°. If the length of the bars initially is L, the final extension ? of the two bars at t° temperature is given by

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 5. Stress may be defined as

  • Options
  • A. force per unit length
  • B. force per unit volume
  • C. force per unit area
  • D. none of these.
  • Discuss
  • 6. Pick up the correct statement from the following:

  • Options
  • A. The bending moment which when acting alone would produce the maximum stress equal to the major principal stress caused by combined bending and torsion, is called equivalent bending moment
  • B. Mcg = (M M2 + r2) where letters carry their usual meanings
  • C. Tcp = m2 + T2 where letters carry their usual meanings
  • D. The torque which when acting alone would produce maximum shear stress equal to the maximum shear stress caused by the combined bending and torsion, is called equivalent torque
  • E. All the above.
  • Discuss
  • 7. The shape factor of standard rolled beam section varies from

  • Options
  • A. 1.10 to 1.20
  • B. 1.20 to 1.30
  • C. 1.30 to 1.40
  • D. 1.40 to 1.50
  • Discuss
  • 8. The tangential component of stress on an plane inclined ?° to the direction of the force, may be obtained by multiplying the normal stress by

  • Options
  • A. sin ?
  • B. cos ?
  • C. tan ?
  • D. sin ? cos ?
  • E. sin2?
  • Discuss
  • 9. The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 10. A truss containing j joints and m members, will be a simple truss if

  • Options
  • A. m = 2j - 3
  • B. j = 2m - 3
  • C. m = 3j - 2
  • D. j = 3m - 2
  • Discuss

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