theory of structures Mcqs
51. A cantilever of length is subjected to a bending moment at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is_________________?
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A. ML/3EI

B. ML/EI

C. ML/2EI

D. ML/2EI

52. H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon____________________?
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A. H = 0

B. All the above

C. V = 0

D. M = 0

53. Stress may be expressed in Newtons___________________?
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A. Per metre square (N/m2)

B. None of these

C. Per millimetre square (N/mm2)

D. Per centimetre square (N/cm2)

54. In plastic analysis, the shape factor for a triangular section, is_________________?
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A. 1.34

B. 2.5

C. 1.5

D. 2.34
55. A steel plate d b is sandwiched rigidly between two timber joists each D B/2 in section. The steel will be (where Youngs modulus of steel is m times that of the timber)_________________?
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A. BD + mbd)/6D]

B. BD + mbd)/4D]

C. BD3 + mbd3)/6D]

D. BD + mbd3)/4D]

56. P = /4L is the equation of Eulers crippling load, if__________________?
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A. Both the ends are fixed

B. Both the ends are hinged

C. One end is fixed and other end is free

D. One end is fixed and other end is hinged

57. In the cable shown in the given figure, the minimum tension occurs at___________________?
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A. Between A and C

B. C

C. A

D. B

58. y/n) (1 a l/r), is For calculating the allowable stress of long columns. The empirical formula 0 known as_________________?
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A. Straight line formula

B. Perrys formula

C. Rankines formula

D. Parabolic formula

59. In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is_________________?
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A. L/5

B. L/3

C. L/2

D. L/4

60. A compound bar consists of two bars of equal length. Steel bar cross -section is 3500 mm2and that of brass bar is 3000 mm2. These are subjected to a compressive load 100,000 N. If Eb = 0.2 MN/mm2 and Eb = 0.1 MN/mm2, the stresses developed are___________________?
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A. b = 6 N/mm2 s = 12 N/mm2

B. b = 8 N/mm2 s = 16 N/mm2

C. b = 5 N/mm2 s = 10 N/mm2

D. b = 10 N/mm2 s = 20 N/mm 2
61. Pick up the correct statement from the following_______________?
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A. compared to its length, is called a stmt

B. All the above

C. vertical compression members are generally known as columns or stanchions

D. Deflection in lateral direction of a long column, is generally known as buckling

E. The structural member subjected to compression and whose dimensions are small as

62. Pick up the correct statement from the following?
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A. For channels, the shear centre does not coincide its centroid

B. All the above

C. For I sections, the shear centre coincides with the centroid of the cross section of the beam

D. The point of intersection of the bending axis with the cross section of the beam, is called shear centre

63. parabolic arch of span and rise , is given by The equation of a________________?
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A. y = 3h/l (1 x)

B. y = h/l (1 x )

C. y = 4h/l (1 x)

D. y = 2h/l (1 x)

64. The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called______________?
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A. Proof stress

B. Proof resilience

C. Proof load

D. Stiffness

65. A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised___________________?
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A. Brass experiences compressive force

B. All the above

C. Steel experiences tensile force

D. Composite beam gets subjected to a couple

66. In the truss, the force in the member AC is_______________?
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A. 6.25 t compressive

B. t compressive

C. t tensile

D. 8.75 t tensile

67. A road of uniform cross-section A and length L force P. The Youngs Modulus E of the material, is_________________?
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A. E = P. A/

B. E = P. L/

C. E = /A. L

D. E =/P. L

68. A truss containing j joints and m members, will be a simple truss if_________________?
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A. j = 3m 2

B. m = 3j 2

C. m = 2j 3

D. j = 2m 3

69. The force in BF of the truss shown in given figure, is_______________?
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A. 4t compression

B. 4.5t tension

C. 4t tension

D. 4.5t compression
70. The ratio of the area of cross-section of a circular section to the area of its core, is_______________?
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A. 16

B. 4

C. 12

D. 8

71. A shaft subjected to a bending moment M and a torque T, experiences__________________?
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A. Maximum bending stress = 32M d3

B. Maximum shear stress = 16 T d3

C. Both A. and B.

D. Neither A. nor B.

72. m1 and m2 are the members of two individual simple trusses of a compound truss. The compound truss will be rigid and determinate if__________________?
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A. m = m1 + m2

B. m = m1 + m2 + 1

C. m = m + m + 3

D. m = m1 + m2 + 2

73. A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is_________________?
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A. 0.307

B. 0.508

C. 0.407

D. 0.207
74. A short column (30 cm 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be_________________?
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A. 8/5

B. 3-Feb

C. 8-May

D. 2-Mar

75. The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is__________________?
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A. 2

C. 1

D. 1

76. 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__________________?
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A. 4.25 cm

B. 2.75 cm

C. 3.00 cm

D. 3.50 cm

77. The force in CD of the truss shown in given figure, is________________?
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A. 3t compression

B. Zero

C. 1.5t compression

D. 3t tension

78. The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is_________________?
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A. WI/8

B. WI/4

C. WI/2

D. WI/12

79. Principal planes are subjected to_________________?
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A. Tangential stresses only

B. None of these

C. Normal stresses as well as tangential stresses

D. Normal stresses only
80. The assumption in the theory of bending of beams is_________________?
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A. Material is homogeneous

B. Material is isotropic

C. Youngs modulus is same in tension as well as in compression

D. All the above
81. The greatest load which a spring can carry without getting permanently distorted, is called_________________?
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A. Proof resilience

B. Stiffness

C. Proof stress

D. Proof load
82. 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________________?
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A. 3 mm

B. 5 mm

C. 4 mm

D. 2 mm

83. Stress may be defined as_________________?
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A. None of these

B. Force per unit length

C. Force per unit area

D. Force per unit volume

84. d constant, the width of a cantilever of length l of uniform strength loaded with Keeping the depth a uniformly distributed load w varies from zero at the free end and________________?
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A. (5w/ l at the fixed end

B. (3w/ l at the fixed end

C. (2w/ l at the fixed end

D. (3w/ l at the fixed end

85. In the truss shown in given figure, the force in member BD is______________?
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A. 100 t compressive

B. Zero

C. 100 t tensile

D. Indeterminate

86. Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then________________?
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A. I/M = R/E = F/Y

B. M/I = E/R = E/Y

C. M/I = R/E = F/Y

D. M/I = E/R = Y/F

87. The equivalent length of a column of length L having one end fixed and the other end free, is______________?
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A. 2L

B. L/2

C. L

D. L

88. The stiffness of the close coil helical spring is_________________?
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A. d4N/4D3n

B. 4D3N/d4n

C. 8D3N/d4n

D. d4N/8D3n
89. The load on a spring per unit deflection, is called______________?
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A. Proof stress

B. Proof load

C. Proof resilience

D. Stiffness
90. If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following_______________?
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A. Q = S + F

B. Q = F S

C. Q = S F

D. Q = S F
91. 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_______________?
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A. h/4

B. l/4

C. l

D. l

92. Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly proportional to___________________?
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A. Reciprocal of the length of the shaft

B. Modulus of rigidity

C. Moment of inertia of the shaft section

D. Angle of twist

93. The point of contraflexure is the point where_______________?
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A. B.M. is maximum

B. B.M. changes sign

C. S.F. is zero

D. B.M. is minimum

94. The strain energy due to volumetric strain________________?
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A. Is directly proportional to the square of exerted pressure

B. All the above

C. Is inversely proportional to Bulk modulus

D. Is directly proportional to the volume

95. 0. At its elastic limit, the following statement is true, 0/E__________________?
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A. /2E volume

B. Strain energy = 0

C. All the above

D. Maximum shear stress = /2

E. Strain is equal to

96. length of a column of length L, having one end fixed and other end hinged, is The equivalent_____________?
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A. L

B. L/2

C. L

D. 2 L

97. The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is_________________?
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A. 3.0

B. 1

C. 1.5

D. 2

98. In case of principal axes of a section________________?
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A. Sum of moment of inertia is zero

B. Product of moment of inertia is zero

C. None of these

D. Difference of moment inertia is zero

99. The moment of inertia of a triangular section (height h, base b) about its base, is_______________?
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A. b3h/12

B. bh3/12

C. bh/12

D. bh/12

100. For calculating the allowable stress of long columns known as_________________?
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A. Straight line formula

B. Rankines formula

C. Parabolic formula

D. Perrys formula