Theory of Structures

101. In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

  1. L/2
  2. L/3
  3. L/4
  4. L/5

Correct answer: (B)
L/3

102. The maximum B.M. due to an isolated load in a three hinged parabolic arch, (span l and rise h) having one of its hinges at the crown, occurs on either side of the crown at a distance

  1. l/4
  2. h/4
  3. l/2√3
  4. l/3√2

Correct answer: (C)
l/2√3

103. A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

  1. L/d
  2. L/2d
  3. (L/2d)2
  4. (L/3d)2

Correct answer: (C)
(L/2d)2

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

  1. m = 2j - 3
  2. j = 2m - 3
  3. m = 3j - 2
  4. j = 3m - 2

Correct answer: (A)
m = 2j - 3

105. m1 and m2 are the members of two individual simple trusses of a compound truss. The compound truss will be rigid and determinate if

  1. m = m1 + m2
  2. m = m1 + m2 + 1
  3. m = m1 + m2 + 2
  4. m = m1 + m2 + 3

Correct answer: (D)
m = m1 + m2 + 3

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

  1. M/I = R/E = F/Y
  2. I/M = R/E = F/Y
  3. M/I = E/R = E/Y
  4. M/I = E/R = Y/F

Correct answer: (C)
M/I = E/R = E/Y

107. 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

  1. M/T
  2. T/M
  3. 2M/T
  4. 2T/M

Correct answer: (C)
2M/T

108. Gradually applied static loads do not change with time their

  1. Magnitude
  2. Direction
  3. Point of application
  4. All the above

Correct answer: (D)
All the above

109. The assumption in the theory of bending of beams is:

  1. Material is homogeneous
  2. Material is isotropic
  3. Young's modulus is same in tension as well as in compression
  4. All the above

Correct answer: (D)
All the above

110. A shaft subjected to a bending moment M and a torque T, experiences

  1. Maximum bending stress = 32M/πd3
  2. Maximum shear stress = 16 T/πd3
  3. Both (a) and (b)
  4. Neither (a) nor (b)

Correct answer: (C)
Both (a) and (b)

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