About Theory of Structures

Theory of Structures: What You Need to Know

The theory of Structures is a critical field of engineering that every engineer should be familiar with. It's the study of how forces are distributed in structures, and it's essential for designing safe and effective bridges, buildings, and other structures. In this blog post, we will discuss the basics of the Theory of Structures and what you need to know to be successful in this field!

Every structure, whether it is a bridge, a building, or any other type of man-made object, is subject to forces. These forces can come from many sources, such as the weight of the structure itself, the weight of people or vehicles using the structure, wind, and earthquakes. The theory of Structures is the study of how these forces are distributed throughout a structure, and how they interact with one another.

Applications of Theory of Structures

Engineers use the Theory of Structures to determine the strength and stability of structures. This information is used to design safe and effective bridges, buildings, and other structures. The theory of Structures is also used to assess the safety of existing structures. When a structure is damaged, engineers use the Theory of Structures to determine if the damage is serious enough to pose a risk to the public.

Types of Structures

There are two main types of structures: load-bearing and non-load-bearing. Load-bearing structures, such as bridges and buildings, support their own weight as well as the weight of people or vehicles using them. Non-load-bearing structures, such as fences and walls, do not support any weight other than their own.

Load-bearing structures are more complex than non-load-bearing structures, and as a result, they require more careful analysis. The theory of Structures is used to determine the loads that a structure can safely support, as well as the distribution of those loads throughout the structure. The theory of Structures is a critical field of engineering that every engineer should be familiar with.

Following are some of the multiple choice questions on the Theory of Structures with answers that will help the students in developing their knowledge.

Theory of Structures MCQ

1. The deformation per unit length is called

  • Strain
  • Stress
  • Bulk modulus
  • Elasticity

2. What is the unit for stress?

  • N/m2
  • Nm
  • N/m
  • Nm2

3. The ratio of stress and strain is known as

  • Modulus of elasticity
  • Young's modulus
  • Both a. and b.
  • None of the above

4. The ability of the material to deform without breaking is called

  • Elasticity
  • Creep
  • Plasticity
  • Brittle

5. In a composite body, consisting of two different materials………..will be same in both materials.

  • Stress
  • Strain
  • Both of the above
  • None of these

6. Maximum shear stress theory for the failure of a material at the elastic limit, is known

  • Guest's or Trecas' theory
  • St. Venant's theory
  • Rankine's theory
  • Haig's theory

7. The limit beyond which the material does not behave elastically is known as

  • Proportional limit
  • Elastic limit
  • Plastic limit
  • Yield point

8. Shear stress causes

  • Elongation
  • Distortion
  • Deformation
  • Displacement

9. Flat spiral springs

  • Consist of uniform thin strips
  • Are supported at outer end
  • Are wound by applying a torque
  • All the above

10. When tensile stress is applied axially on a circular rod its

  • diameter decreases and length increases
  • diameter decreases
  • length increases
  • None of these

11. The shape factor of standard rolled beam section varies from

  • 1.10 to 1.20
  • 1.20 to 1.30
  • 1.30 to 1.40
  • 1.40 to 1.50

12. The equivalent length of a column of length L, having both the ends hinged, is

  • 2L
  • L
  • L/2
  • L/√2

13. 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

  • M/T
  • T/M
  • 2M/ T
  • 2T/M

14. Short column failure

  • Crushing failure
  • Buckling failure

15. When a bar is subjected to a change of temperature and its deformation is prevented, the stress induced in the bar is

  • tensile stress
  • compressive stress
  • shear stress
  • thermal stress

16. If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

  • Horizontal thrust is wl2/8h
  • S.F. will be zero throughout
  • M. will be zero throughout
  • All the above

17. Two parallel, equal and opposite forces acting tangentially to the surface of the body is called as

  • Complementary stress
  • Compressive stress
  • Shear stress
  • Tensile stress

18. A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

  • 2/3
  • 3/2
  • 5/8
  • 8/5

19. Slenderness ratio of a long column, is

  • Area of cross-section divided by radius of gyration
  • Area of cross-section divided by least radius of gyration
  • Radius of gyration divided by area of cross-section
  • Length of column divided by least radius of gyration

20. A close coil helical spring when subjected to a moment M having its axis along the axis of the helix

  • It is subjected to pure bending
  • Its mean diameter will decrease
  • Its number of coils will increase
  • All the above

21. A wall designed to resist the lateral displacement of soil or other materials

  • Retaining wall
  • Bearing wall
  • Shear wall
  • None of these

22. A beam having both ends restrained against translation and rotation. The fixed ends transfer bending stresses, increase the rigidity of the beam and reduce its maximum deflection.

  • Fixed end beam
  • Deformation of a beam
  • Cantilever beam
  • Simple beam

23. In RC beams, which portion is under compression?

  • Bottom
  • Top
  • Mid-span
  • Middle thirds

24. Complex of columns, beams, girders, spandrels, and trusses connected to one another and to the columns anchored in a foundation

  • Frame
  • Skeletal
  • Support
  • Load bearing

25. A slight convex curvature intentionally built into beam, girder, or truss to compensate for an anticipated deflection

  • Inflection point
  • Camber of beam
  • Deformation of beam
  • Moment of beam

26. If the slab is permanently exposed to the ground, minimum concrete cover is ______ clear.

  • 80 mm
  • 75 mm
  • 70 mm
  • 65 mm

27. The length of a wire is increased by 1 mm on the application of a certain load. In a wire of the same material but of twice the length and half the radius, the same force will produce an elongation of

  • 0.5mm
  • 2mm
  • 4mm
  • 8mm

28. Strain is a dimensionless quantity.

  • True
  • False

29. Which stress is induced in a member, when expansion or contraction due to temperature variation is prevented?

  • Compressive stress
  • Tensile stress
  • Thermal stress
  • None of the above

30. The bending stress in a beam is __________ bending moment

  • equal to
  • less than
  • more than
  • directly proportional to

31. When a material is loaded within elastic limit, the material will regain its shape and size when the load is removed.

  • Agree
  • Disagree

32. Materials most often used to construct load-bearing walls in large buildings

  • Concrete
  • Block
  • Brick
  • All of above

33. A wall that bears the weight of the house above said wall, resting upon it by conducting its weight to a foundation structure

  • Bearing wall
  • Exterior wall
  • Interior wall
  • Parapet wall

34. 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

  • 1 : 1½ : 2
  • 2 : 1½ : 1
  • 1 : 1 : 2
  • None of these

35. The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

  • 1
  • 2
  • 3
  • 4

36. H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

  • H = 0
  • V = 0
  • M = 0
  • All the above

37. For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

  • 0.303
  • 0.404
  • 0.505
  • 0.707

38. The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

  • WL3/3EL
  • WL3/8EL
  • WL3/24EL
  • WL3/48EL

39. The assumption in the theory of bending of beams is:

  • Material is homogeneous
  • Material is isotropic
  • Young’s modulus is same in tension as well as in compression
  • All the above

40. The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

  • 1/7
  • 2/7
  • 3/7
  • 2/5

41. The use of ___________ in flat slabs increase the shear strength of slab and reduce the moment in the slab by reducing the clear or effective span

  • Column heads
  • Drop panels

42. In plastic analysis, the shape factor for a circular section, is

  • 1.5
  • 1.6
  • 1.7
  • 1.75

43. P = 4π² EI/L² is the equation of Euler's crippling load if

  • Both the ends are fixed
  • Both the ends are hinged
  • One end is fixed and other end is free
  • One end is fixed and other end is hinged

44. The ratio of maximum shear stress to average shear stress of a circular beam, is

  • 2/3
  • 3/2
  • 3/4
  • 4/3

45. The locus of reaction of a two hinged semi-circular arch, is

  • Straight line
  • Parabola
  • Circle
  • Hyperbola

46. Maximum principal stress theory for the failure of a material at elastic point, is known

  • Guest's or Trecas' theory
  • St. Venant's theory
  • Rankine's theory
  • Von Mises' theory

47. Total strain energy theory for the failure of a material at elastic limit, is known

  • Guest’s or Trecas’ theory
  • St. Venant’s theory
  • Rankine’s theory
  • Haig’s theory

48. A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm², the side of the rod, is

  • 1 cm
  • 1.5 cm
  • 2 cm
  • 2.5 cm

49. The equivalent length is of a column of length having both the ends fixed, is

  • 2 L
  • L
  • L/2
  • L

50. A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

  • L/d
  • L/2d
  • (L/2d)²
  • (L/3d)²

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