Strength of Materials

31. A rectangular bar of width b and height h is being used as a cantilever. The loading is in a plane parallel to the side b. The section modulus is

  1. bh3/12
  2. bh2/6
  3. b2h/6
  4. None of these

Correct answer: (C)
b2h/6

32. A rectangular beam 20 cm wide is subjected to a maximum shearing force of 10,000 kg, the corresponding maximum shearing stress being 30 kg/cm2. The depth of the beam is

  1. 15 cm
  2. 20 cm
  3. 25 cm
  4. 30 cm

Correct answer: (C)
25 cm

33. A rectangular log of wood is floating in water with a load of 100 N at its centre. The maximum shear force in the wooden log is

  1. 50 N at each end
  2. 50 N at the centre
  3. 100 N at the centre
  4. None of these

Correct answer: (C)
100 N at the centre

34. A reinforced concrete beam is assumed to be made of

  1. Homogeneous material
  2. Heterogeneous material
  3. Isotropic material
  4. None of these

Correct answer: (B)
Heterogeneous material

35. A sample of metal weighs 219 gms in air, 180 gms in water, 120 gms in an unknown fluid. Then which is correct statement about density of metal

  1. Density of metal can't be determined
  2. Metal is twice as dense as water
  3. Metal will float in water
  4. Metal is twice as dense as unknown fluid

Correct answer: (A)
Density of metal can't be determined

36. A shaft 9 m long is subjected to a torque 30 t-m at a point 3 m distant from either end. The reactive torque at the nearer end will be

  1. 5 tonnes metre
  2. 10 tonnes metre
  3. 15 tonnes metre
  4. 20 tonnes metre

Correct answer: (D)
20 tonnes metre

37. A shaft turning 150 r.p.m. is subjected to a torque of 150 kgm. Horse power transmitted by the shaft is

  1. π
  2. 10π
  3. π2
  4. 1/π

Correct answer: (B)
10π

38. A short masonry pillar is 60 cm x 60 cm in cross-section, the core of the pillar is a square whose side is

  1. 17.32 cm
  2. 14.14 cm
  3. 20.00 cm
  4. 22.36 cm

Correct answer: (B)
14.14 cm

39. A simply supported beam (l + 2a) with equal overhangs (a) carries a uniformly distributed load over the whole length, the B.M. changes sign if

  1. l > 2a
  2. l < 2a
  3. l = 2a
  4. l = 4a

Correct answer: (A)
l > 2a

40. A simply supported beam carries two equal concentrated loads W at distances L/3 from either support. The maximum bending moment

  1. WL/3
  2. WL/4
  3. 5WL/4
  4. 3WL/12

Correct answer: (A)
WL/3

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