# Theory of Structure - Multiple Choice Questions

1. A single rolling load of 8 kN rolls along a girder of 15 m span. The absolute maximum bending moment will be________________?.

A. 8 kN.m

B. 15 kN.m

C. 30 kN.m

D. 60 kN.m.

2. When a uniformly distributed load, longer than the span of the girder, moves from left to right, then the maximum bending moment at mid section of span occurs when the uniformly distributed load occupies_______________?.

A. less than the left half span

B. whole of left half span

C. more than the left half span

D. whole span.

3. When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when________________?.

A. the centre of gravity of the load system is midway between the centre of span and wheel load under consi-deration

B. the centre of span is midway between the centre of gravity of the load system and the wheel load under consideration

C. the wheel load under consideration is midway between the centre of span and the centre of gravity of the load system

D. none of the above.

Answer = the centre of span is midway between the centre of gravity of the load system and the wheel load under consideration

4. Which of the following is not the displacement method ?.

A. Equilibrium method

B. Column analogy method

C. Moment distribution method

D. Kani's method.

5. If in a rigid-jointed space frame, (6m + r) < 6j, then the frame is_______________?.

A. unstable

B. stable and statically determinate

C. stable and statically indeterminate

D. none of the above.

6. Effects of shear force and axial force on plastic moment capacity of a structure are respectively to_________________?.

A. increase and decrease

B. increase and increase

C. decrease and increase

D. decrease and decrease.

7. Which of the following methods of structural analysis is a displacement method ?.

A. moment distribution method

B. column analogy method

C. three moment equation

D. none of the above.

8. In the displacement method of structural analysis, the basic unknowns are__________________?.

A. displacements

B. force

C. displacements and forces

D. none of the above.

9. Which of the following methods of structural analysis is a force method ?.

A. slope deflection method

B. column analogy method

C. moment distribution method

D. none of the above.

10. When a uniformly distributed load, shorter than the span of the girder, moves from left to right, then the conditions for maximum bending moment at a section is that___________________?.

B. the tail of the load reaches the section

C. the load position should be such that the section divides it equally on both sides

D. the load position should be such that the section divides the load in the same ratio as it divides the

Answer = the load position should be such that the section divides the load in the same ratio as it divides the

11. The maximum bending moment due to a train of wheel loads on a simply supported girder_________________?.

A. always occurs at centre of span

B. always occurs under a wheel load

C. never occurs under a wheel load

D. none of the above.

12. For a symmetrical two hinged parabolic arch, if one of the supports settles horizontally, then the horizontal thrust__________________?.

A. is increased

B. is decreased

C. remains unchanged

D. becomes zero.

13. Bending moment at any section in a conjugate beam gives in the actual beam_________________?.

A. slope

B. curvature

C. deflection

D. bending moment.

14. While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of__________________?.

A. zero length

B. infinite length

C. zero moment of inertia

D. none of the above.

15. The degree of static indeterminacy up to which column analogy method can be used is__________________?.

A. 2

B. 3

C. 4

D. unrestricted.

16. The carryover factor in a prismatic member whose far end is fixed is___________________?.

A. 0

B. 1/2

C. 3/4

D. 1.

17. Principle of superposition is applicable when___________________?.

A. deflections are linear functions of applied forces

B. material obeys Hooke's law

C. the action of applied forces will be affected by small deformations of the structure

D. none of the above.

Answer = deflections are linear functions of applied forces

18. The principle of virtual work can be applied to elastic system by considering the virtual work of_________________?.

A. internal forces only

B. external forces only

C. internal as well as external forces

D. none of the above.

Answer = internal as well as external forces

19. The number of independent displacement components at each joint of a rigid-jointed space frame is_______________?.

A. 1

B. 2

C. 3

D. 6.

20. The degree of static indeterminacy of a rigid-jointed space frame is_________________?.

A. m + r – 2j

B. m + r – 3j

C. 3m + r – 3j

D. 6m + r – 6j where m, r and j have their usual meanings.

Answer = 6m + r – 6j

21. The number of independent equations to be satisfied for static equilibrium in a space structure is___________________?.

A. 2

B. 3

C. 4

D. 6.

22. A pin-jointed plane frame is unstable if________________?.

A. (m + r)<2j

B. m + r = 2j

C. (m + r)>2j

D. none of the above.

23. Independent displacement components at each joint of a rigid-jointed plane frame are_________________?.

A. three linear movements

B. two linear movements and one rotation

C. one linear movement and two rotations

D. three rotations.

Answer = two linear movements and one rotation

24. Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is__________________?.

A. 2

B. 3

C. 6

D. 8.

25. If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by__________________?.

A. m + r + 2j

B. m – r + 2j

C. m + r – 2j

D. m + r – 3j.

Answer = m + r – 2j

26. The number of independent equations to be satisfied for static equilibrium of a plane structure is__________________?.

A. 1

B. 2

C. 3

D. 6.

27. To generate the j the column of the flexibility matrix________________?.

A. a unit force is applied at coordinate j and the displacements are calculated at all coordinates

B. a unit displacement is applied at co-ordinate j and the forces are calculated at all coordinates

C. a unit force is applied at coordinate j and the forces are calculated at all coordinates

D. a unit displacement is applied at co-ordinate j and the displacements are calculated at all co-ordinates.

Answer = a unit force is applied at coordinate j and the displacements are calculated at all coordinates

28. Maximum principal stress theory for the failure of a material at elastic point, is known________________?.

A. Guest's or Trecas' theory

B. St. Venant's theory

C. Rankine's theory

D. Von Mises' theory.

29. Pick up the correct statement from the following ?.

A. The moment of inertia is calculated about the axis about which bending takes place

B. If tensile stress is less than axial stress, the section experiences compressive stress

C. If tensile stress is equal to axial stress, the section experiences compressive stress

D. All the above.

30. Pick up the correct statement from the following?.

A. The bending stress in a section is zero at its neutral axis and maximum at the outer fibres

B. The shear stress is zero at the outer fibres and maximum at the neutral axis

C. The bending stress at the outer fibres, is known as principal stress

D. All the above.

31. A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised___________________?.

A. Steel experiences tensile force

B. Brass experiences compressive force

C. Composite beam gets subjected to a couple

D. All the above.

32. A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to________________?.

A. /4h thrust is

B. /8h

C. /12h

D. /16h.

33. Maximum strain theory for the failure of a material at the elastic limit, is known as_______________?.

A. Guest's or Trecas' theory

B. St. Venant's theory

C. Rankine's theory

D. Haig's theory.

34. A close coil helical spring when subjected to a moment M having its axis along the axis of the helix_________________?.

A. It is subjected to pure bending

B. Its mean diameter will decrease

C. Its number of coils will increase

D. All the above.

Answer = It is subjected to pure bending

35. Maximum shear stress theory for the failure of a material at the elastic limit, is known________________?.

A. Guest's or Trecas' theory

B. St. Venant's theory

C. Rankine's theory

D. Haig's theory.

Answer = Guest's or Trecas' theory

36. 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_________________?.

A. ML/EI

B. ML/2EI

C. ML²/2EI

D. ML²/3EI.

37. A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be________________?.

A. 2/3

B. 3/2

C. 5/8

D. 8/5.

38. 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_________________?.

A. L/2

B. L/3

C. L/4

D. L/5.

39. If Ix and Iy are the moments of inertia of a section about X and Y axes, the polar moment of inertia of the section, is_________________?.

A. (IX + IY)/2

B. (IX – IY)/2

C. IX + IY

D. (I /I ).

40. If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good_______________?.

A. E = 3K (1 – 2/m)

B. E = 2N (1 + 1/m)

C. (3/2)K (1 – 2/m) = N (1 + 1/m)

D. All the above.

A. Magnitude

B. Direction

C. Point of application

D. All the above.

42. A body is said to be in equilibrium if___________________?.

A. It moves horizontally

B. It moves vertically

C. It rotates about its C.G.

D. None of these.

43. The load on a spring per unit deflection, is called______________?.

A. Stiffness

B. Proof resilience

C. Proof stress

44. 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.

45. 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.

46. 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.

47. A concentrated load P is supported by the free end of a quadrantal ring AB whose end B is fixed. The ratio of the vertical to horizontal deflections of the end A, is______________?.

A. /6

B. /2

C. /3

D. /4.

48. 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.

49. 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.

50. 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.

51. 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

52. 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.

53. 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.

54. The ratio of lateral strain to axial strain of a homogeneous material, is known___________________?.

A. Yield ratio

B. Hooke's ratio

C. Poisson's ratio

D. Plastic ratio.

55. The ratio of maximum shear stress to average shear stress of a circular beam, is________________?.

A. 2/3

B. 3/2

C. 3/4

D. 4/3.

56. For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is________________?.

A. 0.303

B. 0.404

C. 0.505

D. 0.707.

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

A. m = m1 + m2

B. m = m1 + m2 + 1

C. m = m1 + m2 + 2

D. m = m + m + 3.

Answer = m = m + m + 3

58. The greatest load which a spring can carry without getting permanently distorted, is called_________________?.

A. Stiffness

B. Proof resilience

C. Proof stress

59. A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is_________________?.

A. WL/2AE

B. WL/AE

C. W²L/AE

D. W²L/2AE.

60. An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is_________________?.

A. Wa/h

B. Wa/2h

C. 2W/ha

D. 2h/Wa.

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

A. 2 L

B. L

C. L/2

D. L.

62. A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is_______________?.

A. [W (1 + f/ G)]/ A

B. (1 – g/f)/A

C. [W (2 + f/G)]/A

D. [W (2 + g/f)]/A.

Answer = [W (1 + f/ G)]/ A

63. parabolic arch of span and rise , is given by The equation of a________________?.

A. y = h/l² × (1 – x )

B. y = 2h/l² × (1 – x)

C. y = 3h/l² × (1 – x)

D. y = 4h/l² × (1 – x).

Answer = y = 4h/l² × (1 – x)

64. 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.

65. 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.

66. A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be________________?.

A. 10 m

B. 12 m

C. 14 m

D. 16 m.

67. If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque when t attains maximum shear stress fs the ratio of inner diameter to outer diameter, is 17/64 (f /N)s__________________?.

A. 1/2

B. 1/3

C. 1/4

D. 1/5.

68. 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.

69. The moment of inertia of a circular section about any diameter D, is______________?.

A. /64

B. 4/32

C. 3/64

D. 4/64.

70. Pick up the correct statement from the following?.

A. For channels, the shear centre does not coincide its centroid

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

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

D. All the above.

71. 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________________?.

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

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

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

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

Answer = M/I = E/R = E/Y

72. The locus of the moment of inertia about inclined axes to the principal axis, is______________?.

A. Straight line

B. Parabola

C. Circle

D. Ellipse.

73. 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].

74. 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.

75. 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.

76. The point of contraflexure is the point where_______________?.

A. B.M. changes sign

B. B.M. is maximum

C. B.M. is minimum

D. S.F. is zero.

77. 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________________?.

A. (2w/ × l² at the fixed end

B. (3w/ × l² at the fixed end

C. (3w/ × l² at the fixed end

D. (5w/ × l² at the fixed end.

Answer = (3w/ × l² at the fixed end

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

A. Straight line formula

B. Parabolic formula

C. Perry's formula

D. Rankine's formula.

79. For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D'. Distances AD, DD' and AD' when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is___________________?.

A. 30°

B. 45°

C. 60°

D. 90°.

80. The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is________________?.

A. 1/8

B. 1/10

C. 1/12

D. 1/16.

81. A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be________________?.

A. p/a²

B. 2p/a²

C. 3p/a²

D. 4p/a².

82. A material may fail if______________?.

A. 0

B. Maximum strain exceeds /E 0 0/2

C. Maximum shear stress exceeds

D. All the above.

83. 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____________________?.

A. M/T

B. T/M

C. 2M/ T

D. 2T/M.

84. 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________________?.

A. 2 mm

B. 3 mm

C. 4 mm

D. 5 mm.

85. 0. At its elastic limit, the following statement is true, 0/E__________________?.

A. Strain is equal to

B. Maximum shear stress = /2

C. Strain energy = 0 0²/2E × volume

D. All the above.

86. In plastic analysis, the shape factor for a triangular section, is_________________?.

A. 1.5

B. 1.34

C. 2.34

D. 2.5.

87. A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm2 and Poisson's ratio is 0.25, the change in the volume of the bar is_________________?.

A. 1.125 cm3

B. 2.125 cm3

C. 3.125 cm3

D. 4.125 cm2.

88. A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm2, the side of the rod, is_________________?.

A. 1 cm

B. 1.5 cm

C. 2 cm

D. 2.5 cm.

89. Total strain energy theory for the failure of a material at elastic limit, is known_________________?.

A. Guest's or Trecas' theory

B. St. Venant's theory

C. Rankine's theory

D. Haig's theory.

90. The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch)___________________?.

A. 50/EIc

B. 100/EIc

C. 150/EIc

D. 200/EIc.

91. Stress may be expressed in Newtons___________________?.

A. Per millimetre square (N/mm2)

B. Per centimetre square (N/cm2)

C. Per metre square (N/m2)

D. None of these.

Answer = Per millimetre square (N/mm2)

92. The vertical reaction for the arch is________________?.

A. wa/2l

B. wl/a

C. wa/l

D. wa²/2l.

93. Flat spiral springs_______________?.

A. Consist of uniform thin strips

B. Are supported at outer end

C. Are wound by applying a torque

D. All the above.

94. 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__________________?.

A. L/2

B. L/3

C. L/4

D. L/5.

95. Pick up the correct statement from the following?.

A. In a loaded beam, the moment at which the first yield occurs is called yield moment

B. In a loaded beam, the moment at which the entire section of the beam becomes fully plastic, is called plastic moment

C. In a fully plastic stage of the beam, the neutral axis divides the section in two sections of equal area

D. All the above.

96. The stiffness of the close coil helical spring is_________________?.

A. d4N/8D3n

B. d4N/4D3n

C. 4D3N/d4n

D. 8D3N/d4n.

97. The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is___________________?.

A. 1/8

B. 1/4

C. 1/2

D. 1/3.

98. The ratio of shear stress and shear strain of an elastic material, is________________?.

A. Modulus of Rigidity

B. Shear Modulus

C. Modulus of Elasticity

D. Both A. and B.

Answer = Both A. and B

99. At yield point of a test piece, the material__________________?.

A. Obeys Hooke's law

B. Behaves in an elastic manner

C. Regains its original shape on removal of the load

D. Undergoes plastic deformation.

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

A. 1.0

B. 1.5

C. 2.0

D. 3.0.

101. The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is________________?.

A. 1/7

B. 2/7

C. 3/7

D. 2/5.

102. In plastic analysis, the shape factor for a circular section, is_________________?.

A. 1.5

B. 1.6

C. 1.7

D. 1.75.

103. The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is__________________?.

A. F/A

B. F/2A

C. 3F/2A

D. 2F/3A.

104. For beams of uniform strength, if depth is constant______________?.

A. Width b M

B. Width b M

C. Width b 3 M

D. Width b 1/M.

105. There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of_______________?.

A. 1 : 1½ : 2

B. 2 : 1½ : 1

C. 1 : 1 : 2

D. None of these.

Answer = 1 : 1 : 2

106. The equivalent length of a column of length L, having both the ends hinged, is_______________?.

A. 2L

B. L

C. L/2

D. L.

107. Stress may be defined as_________________?.

A. Force per unit length

B. Force per unit volume

C. Force per unit area

D. None of these.

Answer = Force per unit area

108. For permissible shear stress fs, the torque transmitted by a thin tube of mean diameter D and wall thickness t, is________________?.

A. ( /2) t fs

B. ( /2) t fs

C. D2t fs

D. ( /4) fs.

Answer = ( /2) t fs

109. A three hinged arch is generally hinged at its supports and__________________?.

A. At one quarter span

B. At the crown

C. Anywhere in the rib

D. None of these.

Answer = Anywhere in the rib

110. A truss containing j joints and m members, will be a simple truss if_________________?.

A. m = 2j – 3

B. j = 2m – 3

C. m = 3j – 2

D. j = 3m – 2.

Answer = m = 2j – 3

111. The locus of reaction of a two hinged semi-circular arch, is_________________?.

A. Straight line

B. Parabola

C. Circle

D. Hyperbola.

112. section modulus of a square section of side B and that of a circular section of The ratio of the diameter D, is___________________?.

A. 2 /15

B. 3 /16

C. 3 /8

D. /16.

113. The radius of gyration of a rectangular section (depth D, width B) from a centroidal axis parallel to the width is__________________?.

A. D/2

B. D

C. D

D. D.

114. a uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is___________________?.

A. el/2d

B. e²l/3d²

C. el²/3d²

D. e²l²/3d².

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

A. 2L

B. L

C. L/2

D. L.

116. The equivalent length is of a column of length having both the ends fixed, is_________________?.

A. 2 L

B. L

C. L/2

D. L.

117. A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending strain energy stored in the bar, is___________________?.

A. 411 N mm

B. 511 N mm=

C. 611 N mm

D. 711 N mm.

118. 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.

119. In a shaft, the shear stress is not directly proportional to_________________?.

B. Angle of twist

C. Length of the shaft

D. Modulus of rigidity.

Answer = Length of the shaft

120. 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.

121. 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.

122. 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

123. 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____________________?.

A. H = 0

B. V = 0

C. M = 0

D. All the above.

124. cross sections of bronze and copper bars of equal lengt b c are their Ab and Ac are the respective stresses due to load P. If Pb and Pc are the loads shared by them, (where Eb and Ec are their modulii)____________________?.

A. b c = Eb /Ec

B. P = Pb + Pc

C. P = Ab b + Ac b

D. All the above.

125. 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.

126. Co-efficient of wind resistance of a circular surface, is________________?.

A. 1/2

B. 1/3

C. 2/3

D. 3/2.

127. static equations i.e. H V M = 0, to a determinate structure, we may By applying the determine_________________?.

A. Supporting reactions only

B. Shear forces only

C. Bending moments only

D. All the above.

128. The area of the core of a column of cross sectional area A, is_______________?.

A. (1/3) A

B. (1/6) A

C. (1/12) A

D. (1/18) A.

129. 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

130. A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm2, the depth of the joist, is________________?.

A. 200 mm

B. 250 mm

C. 300 mm

D. 400 mm.

131. If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following_______________?.

A. Q = S + F

B. Q = S – F

C. Q = F – S

D. Q = S × F.

Answer = Q = S × F

132. A material is said to be perfectly elastic if__________________?.

A. It regains its original shape on removal of the load

B. It regains its original shape partially on removal of the load

C. It does not regain its original shape at all

D. None of these.

Answer = It regains its original shape on removal of the load

133. If a concrete column 200 × 200 mm in cross-section is reinforced with four steel bars of 1200 mm2 total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm2 and Es is 15 Ec________________?.

A. 264 MN

B. 274 MN

C. 284 MN

D. 294 MN.

134. The ratio of maximum and average shear stresses on a rectangular section, is________________?.

A. 1

B. 1.25

C. 1.5

D. 2.5.

135. 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.

136. At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by_________________?.

A. Depth of the section

B. Depth of the neutral axis

C. Maximum tensile stress at the section

D. Maximum compressive stress at the section.

Answer = Depth of the neutral axis

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

A. WI/2

B. WI²/4

C. WI²/8

D. WI²/12.