Strength of Materials

41. A simply supported beam carrying a uniformly distributed load over its whole span, is propped at the centre of the span so that the beam is held to the level of the end supports. The reaction of the prop will be

  1. Half the distributed load
  2. 3/8th the distributed load
  3. 5/8th the distributed load
  4. Distributed load

Correct answer: (C)
5/8th the distributed load

42. A simply supported beam of span L carries a concentrated load W at its mid-span. The maximum bending moment M is

  1. WL/2
  2. WL/4
  3. WL/8
  4. WL/12

Correct answer: (B)
WL/4

43. A simply supported beam of span 'L' carries a uniformly distributed load 'W'. The maximum bending moment 'M' is

  1. WL/2
  2. WL/4
  3. WL/8
  4. WL/12

Correct answer: (C)
WL/8

44. A simply supported wooden beam 150 cm long and having a cross section 16 cm × 24 cm carries a concentrated load, at the centre. If the permissible stress ft = 75 kg/cm2 and fs= 10 kg/cm2 the safe load is

  1. 3025 kg
  2. 3050 kg
  3. 3075 kg
  4. 3100 kg

Correct answer: (C)
3075 kg

45. A single force and a couple acting in the same plane upon a rigid body

  1. Balance each other
  2. Cannot balance each other
  3. Produce moment of a couple
  4. Are equivalent

Correct answer: (B)
Cannot balance each other

46. A solid circular shaft of diameter d is subjected to a torque T. The maximum normal stress induced in the shaft, is

  1. Zero
  2. 16T/πd3
  3. 32T/πd3
  4. None of these

Correct answer: (B)
16T/πd3

47. A solid cube is subjected to equal normal forces on all its faces. The volumetric strain will be xtimes the linear strain in any of the three axes when

  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4

Correct answer: (C)
x = 3

48. A steel rod of 2 cm diameter and 5 metres long is subjected to an axial pull of 3000 kg. If E = 2.1 × 106, the elongation of the rod will be

  1. 2.275 mm
  2. 0.2275 mm
  3. 0.02275 mm
  4. 2.02275 mm

Correct answer: (B)
0.2275 mm

49. A three hinged arch is loaded with an isolated load 1000 kg at a horizontal distance of 2.5 m from the crown, 1 m above the level of hinges at the supports 10 metres apart. The horizontal thrust is

  1. 1250 kg
  2. 125 kg
  3. 750 kg
  4. 2500 kg

Correct answer: (A)
1250 kg

50. A three hinged parabolic arch hinged at the crown and springing, has a horizontal span of 4.8 m and a central rise of 1 m. It carries a uniformly distributed load of 0.75 tonne per metre over half left hand span. The horizontal thrust at the support will be

  1. 10.8 tonnes
  2. 1.08 tonnes
  3. 1.8 tonnes
  4. 0.8 tonnes

Correct answer: (B)
1.08 tonnes

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