Theory of Structures

41. A steel bar 5 m × 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:

  1. 1.125 cm3
  2. 2.125 cm3
  3. 3.125 cm3
  4. 4.125 cm2

Correct answer: (C)
3.125 cm3

42. 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,

  1. 10 m
  2. 12 m
  3. 14 m
  4. 16 m

Correct answer: (D)
16 m

43. In the truss shown in the given figure, the force in member BC is

  1. 100 t compressive
  2. 100 t tensile
  3. Zero
  4. Indeterminate

Correct answer: (C)
Zero

44. 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

  1. 2 mm
  2. 3 mm
  3. 4 mm
  4. 5 mm

Correct answer: (D)
5 mm

45. 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

  1. 2√3/4
  2. 3√2/4
  3. 2/√3
  4. √3/4

Correct answer: (B)
3√2/4

46. The ratio of the section modulus of a square section of side B and that of a circular section of diameter D, is

  1. 2π/15
  2. 3π/16
  3. 3π/8
  4. π/16

Correct answer: (B)
3π/16

47. The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is

  1. 2.75 cm
  2. 3.00 cm
  3. 3.50 cm
  4. 4.25 cm

Correct answer: (D)
4.25 cm

48. 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

  1. 200 mm
  2. 250 mm
  3. 300 mm
  4. 400 mm

Correct answer: (D)
400 mm

49. A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm2), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is

  1. 25 N
  2. 30 N
  3. 35 N
  4. 40 N

Correct answer: (C)
35 N

50. 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

  1. 264 MN
  2. 274 MN
  3. 284 MN
  4. 294 MN

Correct answer: (C)
284 MN

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