Strength of Materials

81. Euler's formula states that the buckling load for a column of length , both ends hinged and whose least moment of inertia and modulus of elasticity of the material of the column are and respectively, is given by the relation

  1. P = μ2EI/l2
  2. P = μ2/EI
  3. P = μEI/l2l2
  4. P = μ2EI/l3

Correct answer: (A)
P = μ2EI/l2

82. Every material obeys the Hooke's law within its

  1. Elastic limit
  2. Plastic point
  3. Limit of proportionality
  4. None of these

Correct answer: (C)
Limit of proportionality

83. Failure of riveted joints is due to

  1. Tearing of the plates between the rivet hole and the edge of the plate
  2. Tearing of plates between rivets
  3. Shearing of rivets
  4. All the above

Correct answer: (D)
All the above

84. For a beam having fixed ends, the unknown element of the reactions, is

  1. Horizontal components at either end
  2. Vertical components at either end
  3. Horizontal component at one end and vertical component at the other
  4. Horizontal and vertical components at both the ends

Correct answer: (D)
Horizontal and vertical components at both the ends

85. For a beam of uniform strength keeping its depth constant, the width will vary in proportion to

  1. Bending moment (M)
  2. √M
  3. m2
  4. None of these

Correct answer: (A)
Bending moment (M)

86. For a beam, if fundamental equations of statics are not sufficient to determine all the reactive forces at the supports, the structure is said to be

  1. Determinate
  2. Statically determinate
  3. Statically indeterminate
  4. None of these

Correct answer: (C)
Statically indeterminate

87. For a cantilever with a uniformly distributed load W over its entire length L, the maximum bending moment is

  1. WL
  2. ½ WL
  3. ⅓ WL
  4. ½ WL2

Correct answer: (B)
½ WL

88. For a channel section, the shear centre lies at a distance of

  1. dbt/2I
  2. d2bt/3I
  3. d2b2t/4I
  4. db2t/5I

Correct answer: (C)
d2b2t/4I

89. For a given material Young's modulus is 200 GN/m2 and modulus of rigidity is 80 GN/m2. The value of Poisson's ratio is

  1. 0.15
  2. 0.2
  3. 0.25
  4. 0.3

Correct answer: (C)
0.25

90. For a given material, if E, C, K and m are Young's modulus, shearing modulus, bulk modulus and Poisson ratio, the following relation does not hold good

  1. E = 9KC/3K + C
  2. E = 2K (1 + 2/m)
  3. E = 2C (1 + 1/m)
  4. E = 3C (1 - 1/m)

Correct answer: (C)
E = 2C (1 + 1/m)

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