About Theory of Structures

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

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

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

  • diameter decreases and length increases
  • diameter decreases
  • length increases

7. Shear stress causes

  • Elongation
  • Distortion
  • Deformation
  • Displacement

8. Flat spiral springs

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

9. 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

10. Short column failure

  • Crushing failure
  • Buckling failure

11. 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

12. 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

13. A type of slab that are either one-way or two-way system

  • One way slab
  • Two way slab
  • Flat slab
  • Waffle slab

14. A column is considered to be a ___________ when the ratio of its effective length to its least lateral dimension does not exceed 12

  • Short column
  • Long column

15. If the ratio of the effective length to its least lateral dimension exceeds 12, it is a ____________.

  • Short column
  • Long column

16. The free-body diagram of any joint is a concurrent force system in which the summation of moment will be of no help.

  • Effective length of column
  • Method of joints
  • Method of sections

17. In this method, we cut the truss into two sections by passing a cutting plane through the members whose internal forces we wish to determine.

  • Effective length of column
  • Method of joints
  • Method of sections

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. Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then

  • M/I = R/E = F/Y
  • I/M = R/E = F/Y
  • M/I = E/R = F/Y
  • M/I = E/R = Y/F

20. 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

21. A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

  • 75 N/m²
  • 750 N/m²
  • 7500 N/m²
  • 75000 N/m²

22. The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

  • 1/8
  • 1/10
  • 1/12
  • 1/16

23. The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is

  • 1/2
  • 2/3
  • 1/4
  • 1/3

24. The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

  • 1/8
  • 1/4
  • 1/2
  • 1/3

25. A uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is

  • el/2d
  • e²l/3d²
  • el²/3d²
  • e²l²/3d²

26. Shear strain energy theory for the failure of a material at elastic limit, is due to

  • Rankine
  • Guest or Trecas
  • St. Venant
  • Von Mises

27. The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

  • F/A
  • F/2A
  • 3F/2A
  • 2F/3A

28. A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

  • 200 mm
  • 250 mm
  • 300 mm
  • 400 mm

29. A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

  • 2/3
  • 3/2
  • 8/5
  • 5/8

30. A compound truss may be formed by connecting two simple rigid frames, by

  • Two bars
  • Three bars
  • Three parallel bars
  • Three bars intersecting at a point

31. 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

32. Constant, depth of a cantilever of length of uniform strength loaded with Keeping breadth uniformly distributed load varies from zero at the free end and

  • 2w w l at the fixed end
  • l) at the fixed end
  • w l) at the fixed end
  • 3w l at the fixed end

33. A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

  • ML/EI
  • ML/2EI
  • ML²/2EI
  • ML²/3EI

34. A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

  • 2 mm
  • 3 mm
  • 4 mm
  • 5 mm

35. In the truss, the force in the member AC is

  • 6.25 t compressive
  • 8.75 t tensile
  • t tensile
  • t compressive

36. If a concrete column 200 × 200 mm in cross-section is reinforced with four steel bars of 1200 mm² total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm² and Es is 15 Ec

  • 264 MN
  • 274 MN
  • 284 MN
  • 294 MN

37. 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

38. The ratio of the area of cross-section of a circular section to the area of its core, is

  • 4
  • 8
  • 12
  • 16

39. A truss containing j joints and m members, will be a simple truss if

  • m = 2j – 3
  • j = 2m – 3
  • m = 3j – 2
  • j = 3m – 2

40. For beams breadth is constant,

  • Depth d M
  • Depth d 3
  • Depth d
  • Depth d 1/M

41. The ratio of lateral strain to axial strain of a homogeneous material, is known

  • Yield ratio
  • Hooke’s ratio
  • Poisson’s ratio
  • Plastic ratio

42. A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

  • 80 N/mm²
  • 100 N/mm 2
  • 120 N/mm²
  • 150 N/mm²

43. A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm², the bending strain energy stored in the bar, is

  • 411 N mm
  • 511 N mm
  • 611 N mm
  • 711 N mm

44. A compound bar consists of two bars of equal length. Steel bar cross -section is 3500 mm²and 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:

  • b = 10 N/mm² s = 20 N/mm 2
  • b = 8 N/mm² s = 16 N/mm²
  • b = 6 N/mm² s = 12 N/mm²
  • b = 5 N/mm² s = 10 N/mm²

45. A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised

  • Steel experiences tensile force
  • Brass experiences compressive force
  • Composite beam gets subjected to a couple
  • All the above

46. For beams of uniform strength, if depth is constant,

  • Width b M
  • Width b M
  • Width b 3 M
  • Width b 1/M

47. A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm² is:

  • 4.0 mm
  • 4.5 mm
  • 5.0 mm
  • 5.5 mm

48. At yield point of a test piece, the material

  • Obeys Hooke’s law
  • Behaves in an elastic manner
  • Regains its original shape on removal of the load
  • Undergoes plastic deformation

49. Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as

  • Compound beams
  • Indeterminate beams
  • Determinate beams
  • Composite beams

50. For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

  • Straight line formula
  • Parabolic formula
  • Perry
  • Rankine

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