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Theory of Structures problems


  • 1. 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

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 2. Pick up the correct statement from the following:

  • Options
  • A. For a uniformly distributed load, the shear force varies linearly
  • B. For a uniformly distributed load, B.M. curve is a parabola
  • C. For a load varying linearly, the shear force curve is a parabola
  • D. For a load varying linearly, the B.M. curve is a cubic parabola
  • E. All the above.
  • Discuss
  • 3. A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm2 and that of brass bar is 3000 mm2. These are subjected to a compressive load 100,000 N. If Eb = 0.2 MN/mm2 and Eb = 0.1 MN/mm2, the stresses developed are:

  • Options
  • A. ?b = 10 N/mm2, ?s = 20 N/mm2
  • B. ?b = 8 N/mm2, ?s = 16 N/mm2
  • C. ?b = 6 N/mm2, ?s = 12 N/mm2
  • D. ?b = 5 N/mm2, ?s = 10 N/mm2
  • Discuss
  • 4. The area of the core of a column of cross sectional area A, is

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 5. The maximum B.M. due to an isolated load in a three hinged parabolic arch, (span l, rise h) having one of its hinges at the crown, occurs on either side of the crown at a distance

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 6. The vertical reaction for the arch is

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  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 7. For permissible shear stress fs, the torque transmitted by a thin tube of mean diameter D and wall thickness t, is

  • Options
  • A.
  • B.
  • C. ?D2t fs
  • D.
  • Discuss
  • 8. If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

  • Options
  • A. horizontal thrust is wl2/8h
  • B. S.F. will be zero throughout
  • C. B.M. will be zero throughout
  • D. all the above.
  • Discuss
  • 9. A bar of square section of area a2 is held such that its one of its diameters is vertical. The maximum shear stress will develop at a depth h where h is

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 10. A steel bar 5 m x 50 mm is loaded with 250, 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 :

  • Options
  • A. 1.125 cm3
  • B. 2.125 cm3
  • C. 3.125 cm3
  • D. 4.125 cm2
  • Discuss

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