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Theory of Structures Quiz | Theory of Structures Objective Type Questions and Answers

(21) Pick up the correct statement from the following:
[A] A wire wound in spiral form, is called a helical spring
[B] The pitch of a close coil spring, is very small
[C] The angle made by the coil with horizontal, is called the angle of helix
[D] All the above
Answer: All the above
(22) In the truss shown in given figure the force in member DC is
[A] 100 t compressive
[B] 100 t tensile
[C] Zero
[D] Indeterminate
Answer: Zero

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(23) 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
[A] 0.207
[B] 0.307
[C] 0.407
[D] 0.508
Answer: 0.207
(24) 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
[A] L/d
[B] L/2d
[C] (L/2d)²
[D] (L/3d)²
Answer: (L/2d)²
(25) The strain energy due to volumetric strain
[A] Is directly proportional to the volume
[B] Is directly proportional to the square of exerted pressure
[C] Is inversely proportional to Bulk modulus
[D] All the above
Answer: All the above
(26) To determine the force in BD of the truss shown in the given figure a section is passed through BD, CD and CE, and the moments are taken about
[A] A joint
[B] B joint
[C] C joint
[D] D joint
Answer: C joint
(27) The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called
[A] Stiffness
[B] Proof resilience
[C] Proof stress
[D] Proof load
Answer: Proof resilience
(28) If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm2) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is
[A] 0.001
[B] 0.002
[C] 0.0025
[D] 0.003
Answer: 0.0025
(29) A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm2), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is
[A] 25 N
[B] 30 N
[C] 35 N
[D] 40 N
Answer: 35 N
(30) The forces acting normally on the cross section of a bar shown in the given figure introduce
[A] Compressive stress
[B] Tensile stress
[C] Shear stress
[D] None of these
Answer: Compressive stress
31 A compound truss may be formed by connecting two simple rigid frames, by
[A] Two bars
[B] Three bars
[C] Three parallel bars
[D] Three bars intersecting at a point
Answer: Three bars
32 The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidly EI, is
[A] wl3/3EI
[B] wl4/3EI
[C] wl4/8EI
[D] wl4/12EI
Answer: wl4/8EI
33 A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm2 is:
[A] 4.0 mm
[B] 4.5 mm
[C] 5.0 mm
[D] 5.5 mm
Answer: 5.0 mm
34 The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is
[A] 1
[B] 2
[C] 3
[D] 4
Answer: 4
35 For determining the force in the member AB of the truss shown in the given figure by method of sections, the section is made to pass through AB, AD and ED and the moments are taken about
[A] Joint C
[B] Joint B
[C] Joint D
[D] Joint A
Answer: Joint D
36 The assumption in the theory of bending of beams is:
[A] Material is homogeneous
[B] Material is isotropic
[C] Young’s modulus is same in tension as well as in compression
[D] All the above
Answer: All the above
37 The moment of inertia of a triangular section (height h, base b) about its base, is
[A] bh²/12
[B] b²h/12
[C] bh3/12
[D] b3h/12
Answer: bh3/12
38 The degree of indeterminacy of the frame in the given figure, is
[A] 1
[B] 2
[C] 3
[D] Zero
Answer: 3
39 A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is
[A] 4WD²n/d4N
[B] 4W²Dn/d4N
[C] 4W²D3n/d4N
[D] 4W²D3n²/d4N
Answer: 4W²D3n/d4N
40 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:
[A] b = 10 N/mm2 s = 20 N/mm 2
[B] b = 8 N/mm2 s = 16 N/mm2
[C] b = 6 N/mm2 s = 12 N/mm2
[D] b = 5 N/mm2 s = 10 N/mm2
Answer: b = 10 N/mm2 s = 20 N/mm 2

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