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Theory of Structures problems


  • 1. A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 2. In plastic analysis, the shape factor for rectangular section, is

  • Options
  • A. 1.4
  • B. 1.5
  • C. 1.6
  • D. 1.7
  • Discuss
  • 3. The assumption in the theory of bending of beams, is :

  • Options
  • A. material is homogeneous
  • B. material is isotropic
  • C. Young's modulus is same in tension as well as in compression
  • D. each layer is independent to expand or to contract
  • E. all the above.
  • Discuss
  • 4. 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

  • Options
  • A.
  • B.
  • C.
  • D.
  • E.
  • Discuss
  • 5. Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as

  • Options
  • A. Compound beams
  • B. Indeterminate beams
  • C. Determinate beams
  • D. Composite beams.
  • Discuss
  • 6. A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

  • Options
  • A. 10 m
  • B. 12 m
  • C. 14 m
  • D. 16 m
  • E. 18 m
  • Discuss
  • 7. Total strain energy theory for the failure of a material at elastic limit, is known

  • Options
  • A. Guest's or Trecas' theory
  • B. St. Venant's theory
  • C. Rankine's theory
  • D. Haig's theory
  • E. Von Mises's theory.
  • Discuss
  • 8. Shear strain energy theory for the failure of a material at elastic limit, is due to

  • Options
  • A. Rankine
  • B. Guest or Trecas
  • C. St. Venant
  • D. Haig
  • E. Von Mises.
  • Discuss
  • 9. For determining the support reactions at A and B of a three hinged arch, points B and C are 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

  • Options
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
  • Discuss
  • 10. A material which obeys Hook's law, is subjected to direct stress ?0. At its elastic limit, the following statement is true,

  • Options
  • A. Strain is equal to
  • B. Maximum shear stress =
  • C. Strain energy =
  • D. Shear strain energy =
  • E. All the above.
  • Discuss

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