Theory of Structure in Civil Engineering Important MCQs

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






6m + r – 6j

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






All the above

3 - 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_________________?






W²L/2AE

4 - A body is said to be in equilibrium if___________________?






None of these

5 - 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________________?






5 mm

6 - 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_________________?






ML²/3EI

7 - 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______________?






4W²D3n/d4N

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






It is subjected to pure bending

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






All the above

10 - 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____________






b = 10 N/mm2 s = 20 N/mm 2

11 - A compound truss may be formed by connecting two simple rigid frames, by_________________?






Three bars

12 - 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______________?






/2

13 - 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_______________?






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

14 - 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________________?






5.0 mm

15 - A material is said to be perfectly elastic if__________________?






It regains its original shape on removal of the load

16 - A material may fail if______________?






All the above

17 - A pin-jointed plane frame is unstable if________________?






(m + r)<2j

18 - A road of uniform cross-section A and length L force P. The Young's Modulus E of the material, is_________________?






E = P. L/

19 - 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________________?






16 m

20 - 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____________________?






2M/ T

21 - 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______






45143

22 - 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________________?






45143

23 - A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be_______________?






wa²

24 - 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_________________?






0.207

25 - 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_____






400 mm

26 - 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______________






(L/2d)²

27 - 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_____________?






35 N

28 - 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________________?






3p/a²

29 - 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___________________?






611 N mm

30 - 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_________________?






3.125 cm3

31 - 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)_________________?






BD3 + mbd3)/6D]

32 - 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_________________?






2 cm

33 - A three hinged arch is generally hinged at its supports and__________________?






Anywhere in the rib

34 - A truss containing j joints and m members, will be a simple truss if_________________?






m = 2j – 3

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






/16h

36 - 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___________________?






el²/3d²

37 - 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_________________?






Wa/2h

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






Depth of the neutral axis

39 - At yield point of a test piece, the material__________________?






Undergoes plastic deformation

40 - Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as________________?






Composite beams

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






44960

42 - 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)____________________?






All the above

43 - 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________________?






(3w/ × l² at the fixed end

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






6

45 - Flat spiral springs_______________?






All the above

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






0.707

47 - For beams breadth is constant__________________?






Depth d 3

48 - For beams of uniform strength, if depth is constant______________?






Width b M

49 - For calculating the allowable stress of long columns known as_________________?






Parabolic formula

50 - For calculating the permissible stress 0 y /[(1 + a(l/r)²] is the empirical formula, known as__________________?






Rankine's formula

51 - 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 an






90°

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






( /2) t fs

53 - Gradually applied static loads do not change with time their_______________?






All the above

54 - 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____________________?






All the above

55 - 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________________?






284 MN

56 - 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_________________?






0.0025

57 - If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span__________________?






All the above

58 - 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_______________?






All the above

59 - 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_________________?






IX + IY

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






Q = S × F

61 - 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__________________?






44930

62 - 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__________________?






m + r – 2j

63 - In a shaft, the shear stress is not directly proportional to_________________?






Length of the shaft

64 - 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_________________?






L/5

65 - 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__________________?






L/3

66 - In case of principal axes of a section________________?






Product of moment of inertia is zero

67 - In plastic analysis, the shape factor for a circular section, is_________________?






1.7

68 - In plastic analysis, the shape factor for a triangular section, is_________________?






2.34

69 - In the truss, the force in the member AC is_______________?






t compressive

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






two linear movements and one rotation

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






L

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__________________?






m = m + m + 3

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






Rankine's theory

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






Guest's or Trecas' theory

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






St. Venant's theory

76 - P = / L² is the equation for Euler's crippling load if_________________?






Both the ends are hinged

77 - P = /4L² is the equation of Euler's crippling load, if__________________?






One end is fixed and other end is free

78 - P=4²EI/L² is the equation of Euler's crippling load if________________?






Both the ends are fixed

79 - parabolic arch of span and rise , is given by The equation of a________________?






y = 4h/l² × (1 – x)

80 - Pick up the correct statement from the following ?






All the above

81 - Pick up the correct statement from the following?






All the above

82 - Pick up the correct statement from the following?






All the above

83 - Pick up the correct statement from the following?






All the above

84 - Pick up the correct statement from the following?






All the above

85 - Pick up the correct statement from the following_______________?






All the above

86 - Principal planes are subjected to_________________?






Normal stresses only

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






45001

88 - Shear strain energy theory for the failure of a material at elastic limit, is due to_________________?






Von Mises

89 - Slenderness ratio of a long column, is_________________?






Length of column divided by least radius of gyration

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






All the above

91 - Stress may be defined as_________________?






Force per unit area

92 - Stress may be expressed in Newtons___________________?






Per millimetre square (N/mm2)

93 - The area of the core of a column of cross sectional area A, is_______________?






(1/18) A

94 - The assumption in the theory of bending of beams is_________________?






All the above

95 - 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__________________?






4.25 cm

96 - The equivalent length is of a column of length having both the ends fixed, is_________________?






L/2

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






2L

98 - The equivalent length of a column of length L, having both the ends hinged, is_______________?






L

99 - The forces in the members of simple trusses, may be analysed by________________?






All the above

100 - The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)_______________?






A uniformly distributed load w/unit length

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






Proof load

102 - 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)___________________?






200/EIc

103 - The horizontal thrust on the ends of a two hinged semicircular arch of radius carrying_________________?






All the above

104 - The load on a spring per unit deflection, is called______________?






Stiffness

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






Straight line

106 - The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is________________?






Ellipse

107 - The locus of the moment of inertia about inclined axes to the principal axis, is______________?






Ellipse

108 - 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_______________?






l

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






WI²/8

110 - 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_________________?






wl4/8EI

111 - 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______________?






WL3/48EL

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






3F/2A

113 - The moment of inertia of a circular section about any diameter D, is______________?






23468

114 - The moment of inertia of a triangular section (height h, base b) about its base, is_______________?






bh3/12

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






6

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






3

117 - The point of contraflexure is the point where_______________?






B.M. changes sign

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






D

119 - The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is__________________?






2

120 - The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is________________?






4

121 - The ratio of lateral strain to axial strain of a homogeneous material, is known___________________?






Poisson's ratio

122 - The ratio of maximum and average shear stresses on a rectangular section, is________________?






1.5

123 - The ratio of maximum shear stress to average shear stress of a circular beam, is________________?






45019

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






3

125 - The ratio of shear stress and shear strain of an elastic material, is________________?






Both A. and B

126 - 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________________?






44964

127 - 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___________________?






44928

128 - 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________________?






44942

129 - The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is__________________?






2

130 - The shape factor of standard rolled beam section varies from_______________?






1.10 to 1.20

131 - The stiffness of the close coil helical spring is_________________?






d4N/8D3n

132 - The strain energy due to volumetric strain________________?






All the above

133 - The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called______________?






Proof resilience

134 - The vertical reaction for the arch is________________?






wa/2l

135 - The yield moment of a cross section is defined as the moment that will just produce the yield stress in_________________?






The outer most fibre of the section

136 - 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_______________?






0.042384259259

137 - To generate the j the column of the flexibility matrix________________?






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

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






Haig's theory

139 - 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________________?






M/I = E/R = E/Y

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






Straight line formula

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