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Theory of Structures Quiz | Theory of Structures Multiple Choice Questions with Answers

61 The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is
[A] WL3/3EL
[B] WL3/8EL
[C] WL3/24EL
[D] WL3/48EL
Answer: WL3/48EL
62 In the truss, the force in the member AC is
[A] 6.25 t compressive
[B] 8.75 t tensile
[C] t tensile
[D] t compressive
Answer: t compressive

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63 In a shaft, the shear stress is not directly proportional to
[A] Radius of the shaft
[B] Angle of twistConray380
[C] Length of the shaft
[D] Modulus of rigidity
Answer: Length of the shaft
64 The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)
[A] A uniformly distributed load w/unit length
[B] A load varying linearly from zero at one end to w at the other end
[C] An isolated load at mid span
[D] None of these
Answer: A uniformly distributed load w/unit length
65 A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).
[A] BD² + mbd²)/6D]
[B] BD3 + mbd3)/6D]
[C] BD² + mbd3)/4D]
[D] BD² + mbd²)/4D]
Answer: BD3 + mbd3)/6D]
66 Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as
[A] Compound beams
[B] Indeterminate beams
[C] Determinate beams
[D] Composite beams
Answer: Composite beams
67 The locus of the moment of inertia about inclined axes to the principal axis, is
[A] Straight line
[B] Parabola
[C] Circle
[D] Ellipse
Answer: Ellipse
68 Shear strain energy theory for the failure of a material at elastic limit, is due to
[A] Rankine
[B] Guest or Trecas
[C] St. Venant
[D] Von Mises
Answer: Von Mises
69 The S.F. diagram of a loaded beam shown in the given figure is that of
[A] A simply supported beam with isolated central load
[B] A simply supported beam with uniformly distributed load
[C] A cantilever with an isolated load at the free end
[D] A cantilever with a uniformly distributed load
Answer: A cantilever with a uniformly distributed load
70 P = /4L² is the equation of Euler’s crippling load, if
[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
Answer: One end is fixed and other end is free
71 In the truss shown in given figure, the force in member BD is
[A] 100 t compressive
[B] 100 t tensile
[C] Zero
[D] Indeterminate
Answer: 100 t compressive
72 A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm2, the tensile force developed at a temperature of 50°C, is
[A] 80 N/mm2
[B] 100 N/mm 2
[C] 120 N/mm2
[D] 150 N/mm2
Answer: 120 N/mm2
73 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
[A] 2.75 cm
[B] 3.00 cm
[C] 3.50 cm
[D] 4.25 cm
Answer: 4.25 cm
74 Principal planes are subjected to
[A] Normal stresses only
[B] Tangential stresses only
[C] Normal stresses as well as tangential stresses
[D] None of these
Answer: Normal stresses only
75 The shape factor of standard rolled beam section varies from
[A] 1.10 to 1.20
[B] 1.20 to 1.30
[C] 1.30 to 1.40
[D] 1.40 to 1.50
Answer: 1.10 to 1.20
76 The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is
[A] Circle
[B] Parabola
[C] Ellipse
[D] Straight line
Answer: Ellipse
77 In case of principal axes of a section
[A] Sum of moment of inertia is zero
[B] Difference of moment inertia is zero
[C] Product of moment of inertia is zero
[D] None of these
Answer: Product of moment of inertia is zero
78 Co-efficient of wind resistance of a circular surface, is
[A] 1/2
[B] 1/3
[C] 2/3
[D] 3/2
Answer: 2/3
79 The force in AD of the truss shown in given figure, is
[A] 4.0t compression
[B] 3.0t compression
[C] 0.5t compression
[D] 0.5t tension
Answer: 0.5t compression
80 Pick up the correct statement from the following:
[A] For a uniformly distributed load, the shear force varies linearly
[B] For a uniformly distributed load, B.M. curve is a parabola
[C] For a load varying linearly, the shear force curve is a parabola
[D] All the above
Answer: All the above

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