Civil Engineering : Theory of Structures MCQs with Answers

1 .
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 the above

Correct Answer :   product of moment of inertia is zero

2 .
If a concrete column 200 x 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)  294 MN
A)  
B)  284 MN
B)  
C)  274 MN
C)  
D)  264 MN
D)  

Correct Answer :   284 MN

3 .
If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively, and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon
A)  ΣH = 0
A)  
B)  ΣV = 0
B)  
C)  ΣM = 0
C)  
D)  All of the above
D)  

Correct Answer :   All of the above

4 .
For determining the support reactions at A and B of a three hinged arch, points B and C are 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)  90°
A)  
B)  60°
B)  
C)  45°
C)  
D)  30°
D)  

Correct Answer :   90°

5 .
Pick up the incorrect statement from the following : The torsional resistance of a shaft is directly proportional to
A)  angle of twist
A)  
B)  modulus of rigidity
B)  
C)  reciprocal of the length of the shaft
C)  
D)  moment of inertia of the shaft section
D)  

Correct Answer :   moment of inertia of the shaft section

6 .
A simply supported beam carries a varying load from zero at one end and w at the other end. If the length of the beam is a, the shear force will be zero at a distance x from least loaded point where x is
A)  a/2
A)  
B)  a/3
B)  
C)  a/√3
C)  
D)  a√3/2
D)  

Correct Answer :   a/√3

7 .
The locus of reaction of a two hinged semi-circular arch, is
A)  circle
B)  straight line
C)  parabola
D)  hyperbola

Correct Answer :   straight line

8 .
If normal stresses due to longitudinal and transverse loads on a bar are σ1 and σ2 respectively, the normal component of the stress on an inclined plane θ° to the longitudinal load, is
A)  σ₁ sin θ x σ₂ cos θ
A)  
B)  σ₁ sin θ² + σ₂ cos² θ
B)  
C)  (σ₁-σ₂) sin 2θ/2
C)  
D)  (σ₁+σ₂) sin 2θ/2
D)  

Correct Answer :   σ₁ sin θ² + σ₂ cos² θ

9 .
A shaft subjected to a bending moment M and a torque T, experiences
A)  maximum bending stress = 32 M/nd³
B)  maximum shear stress = 16 T/nd³
C)  Both (A) and (B)
D)  Neither (A) nor (B)

Correct Answer :   Both (A) and (B)

10 .
In the truss shown in given figure the force in member DC is
A)  zero
A)  
B)  indeterminate
B)  
C)  100 t tensile
C)  
D)  100 t compressive
D)  

Correct Answer :   zero

11 .
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
A)  
B)  3.00 cm
B)  
C)  3.50 cm
C)  
D)  4.25 cm
D)  

Correct Answer :   4.25 cm

12 .
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
A)  
B)  Ix + Iy / 2
B)  
C)  Ix - Iy / 2
C)  
D)  Ix / Iy
D)  

Correct Answer :   Ix + Iy

13 .
Maximum shear stress theory for the failure of a material at the elastic limit, is known
A)  Haig's theory
B)  Rankine's theory
C)  Von Mises's theory
D)  Guest's or Trecas' theory

Correct Answer :   Guest's or Trecas' theory

14 .
The force in AC of the truss shown in the given figure, is
A)  4t tension
A)  
B)  5t tension
B)  
C)  4t compression
C)  
D)  5t compression
D)  

Correct Answer :   4t tension

15 .
The forces acting normally on the cross section of a bar shown in the given figure introduce
A)  shear stress
A)  
B)  tensile stress
B)  
C)  compressive stress
C)  
D)  None of the above
D)  

Correct Answer :   tensile stress

16 .
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is
A)  WL² / 2EI
B)  WL² / 3EI
C)  WL³ / 2EI
D)  WL³ / 3EI

Correct Answer :   WL³ / 3EI

17 .
The ratio of the section modulus of a square section of side B and that of a circular section of diameter D, is
A)  n / 16
B)  2n / 15
C)  3n / 16
D)  3n / 8

Correct Answer :   3n / 16

18 .
The equivalent length of a column of length L, having one end fixed and other end hinged, is
A)  L
B)  2L
C)  L/2
D)  L/√2

Correct Answer :   L/√2

19 .
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

Correct Answer :   depth of the neutral axis

20 .
The maximum height of a masonry dam of a triangular section whose base width is b and specific gravity s, is
A)  b√2
B)  b.s
C)  √bs
D)  s√b

Correct Answer :   b√2

21 .
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
A)  
B)  T/M
B)  
C)  2M/T
C)  
D)  2T/M
D)  

Correct Answer :   2M/T

22 .
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

Correct Answer :   2/7

23 .
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 = F - S
C)  Q = S - F
D)  Q = S x F

Correct Answer :   Q = S x F

24 .
In plastic analysis, the shape factor for a triangular section, is
A)  1.34
B)  1.5
C)  2.34
D)  2.5

Correct Answer :   2.34

25 .
Pick up the correct statement from the following :
A)  For I sections, the shear centre coincides with the centroid of the cross section of the beam
A)  
B)  For channels, the shear centre does not concide its centroid
B)  
C)  Bending loads should pass through the shear centre to avoid twisting
C)  
D)  All of the above
D)  

Correct Answer :   All of the above

Explaination : * For I sections, the shear centre coincides with the centroid of the cross section of the beam
* For channels, the shear centre does not concide its centroid
* Bending loads should pass through the shear centre to avoid twisting
* The point of intersection of the bending axis with the cross section of the beam, is called shear centre

26 .
The tangential component of stress on an plane inclined θ° to the direction of the force, may be obtained by multiplying the normal stress by
A)  sin²θ
B)  sin θ
C)  cos θ
D)  sin θ cos θ

Correct Answer :   sin²θ

27 .
The force in AD of the truss shown in given figure, is
A)  0.5t compression
A)  
B)  0.5t tension
B)  
C)  3.0t compression
C)  
D)  4.0t compression
D)  

Correct Answer :   0.5t compression

28 .
The ratio of the area of cross-section of a circular section to the area of its core, is
A)  4
B)  8
C)  12
D)  16

Correct Answer :   16

29 .
The yield moment of a cross section is defined as the moment that will just produce the yield stress in
A)  the fibre everywhere
B)  the neutral fibre of the section
C)  the inner most fibre of the section
D)  the outer most fibre of the section

Correct Answer :   the outer most fibre of the section

30 .
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
A)  
B)  a cantilever with a uniformly distributed load
B)  
C)  a cantilever with an isolated load at the free end
C)  
D)  a simply supported beam with uniformly distributed load
D)  

Correct Answer :   a cantilever with a uniformly distributed load

31 .
The ratio of lateral strain to axial strain of a homogeneous material, is known
A)  Poisson's ratio
B)  Hooke's ratio
C)  Yield ratio
D)  Plastic ratio

Correct Answer :   Poisson's ratio

32 .
For beams of uniform strength, if depth is constant,
A)  width b ∝ M
B)  width b ∝ √M
C)  width b ∝ 3 √M
D)  None of the above

Correct Answer :   width b ∝ M

33 .
At yield point of a test piece, the material
A)  obeys Hooke's law
B)  behaves in an elastic manner
C)  undergoes plastic deformation
D)  regains its original shape on removal of the load

Correct Answer :   undergoes plastic deformation

34 .
In the truss, the force in the member AC is
A)  8.75 t tentile
A)  
B)  6.25 t compressive
B)  
C)  8.75 / √3 t tensile
C)  
D)  8.75 / √3 t compressive
D)  

Correct Answer :   8.75 / √3 t compressive

35 .
A steel bar 5 m x 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)  4.125 cm²
A)  
B)  3.125 cm³
B)  
C)  2.125 cm³
C)  
D)  1.125 cm³
D)  

Correct Answer :   3.125 cm³

36 .
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 A
A)  
B)  joint B
B)  
C)  joint C
C)  
D)  joint D
D)  

Correct Answer :   joint D

37 .
A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised
A)  composite beam bends
B)  steel experiences tensile force
C)  brass experiences compressive force
D)  All of the above

Correct Answer :   All of the above

Explanation : * composite beam bends
* steel experiences tensile force
* brass experiences compressive force
* composite beam gets subjected to a couple

38 .
The force in EC of the truss shown in the given figure, is
A)  zero
A)  
B)  4t tension
B)  
C)  5t tension
C)  
D)  5t compression
D)  

Correct Answer :   5t compression

39 .
The forces acting on the bar as shown in the given figure introduce
A)  shear stress
A)  
B)  tensile stress
B)  
C)  compressive stress
C)  
D)  None of the above
D)  

Correct Answer :   shear stress

40 .
Pick up the correct statement from the following :
A)  A wire wound in spiral form, is called a helical spring
A)  
B)  The pitch of a close coil spring, is very small
B)  
C)  The angle made by the coil with horizontal, is called the angle of helix
C)  
D)  All of the above
D)  

Correct Answer :   All of the above

Explaination : * A wire wound in spiral form, is called a helical spring
* The pitch of a close coil spring, is very small
* The angle made by the coil with horizontal, is called the angle of helix
* In the open coil helical spring, the angle of helix is comparatively large

41 .
Maximum principal stress theory for the failure of a material at elastic point, is known
A)  Haig's theory
B)  Rankine's theory
C)  St. Venant's theory
D)  Guest's or Trecas' theory

Correct Answer :   Rankine's theory

42 .
The load on a spring per unit deflection, is called
A)  stiffness
B)  proof load
C)  proof stress
D)  proof resilience

Correct Answer :   stiffness

43 .
In a shaft, the shear stress is not directly proportional to
A)  angle of twist
B)  length of the shaft
C)  radius of the shaft
D)  modulus of rigidity

Correct Answer :   length of the shaft

44 .
A compound truss may be formed by connecting two simple rigid frames, by
A)  two bars
B)  three parallel bars
C)  three bars
D)  three bars intersecting at a point

Correct Answer :   three bars

45 .
The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is
A)  ellipse
B)  circle
C)  parabola
D)  straight line

Correct Answer :   ellipse

46 .
The degree of indeterminacy of the frame in the given figure, is
A)  
B)  1
B)  
C)  2
C)  
D)  3
D)  

Correct Answer :   1

47 .
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/√2

Correct Answer :   2L

48 .
The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is
A)  1/2
A)  
B)  1/3
B)  
C)  1/4
C)  
D)  2/3
D)  

Correct Answer :   2/3

49 .
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 : 1 : 2
A)  
B)  1 : 1 1/2 : 2
B)  
C)  2 : 1 1/2 : 1
C)  
D)  None of the above
D)  

Correct Answer :   1 : 1 : 2

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
A)  
B)  30 N
B)  
C)  35 N
C)  
D)  40 N
D)  

Correct Answer :   35 N

51 .
A material is said to be perfectly elastic if
A)  it does not regain its original shape at all
B)  it regains its original shape on removal of the load
C)  It regains its original shape partially on removal of the load
D)  None of the above

Correct Answer :   it regains its original shape on removal of the load

52 .
Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as
A)  Determinate beams
B)  Compound beams
C)  Indeterminate beams
D)  Composite beams

Correct Answer :   Composite beams

53 .
Pick up the correct statement from the following :
A)  The ratio of plastic moment to the yield moment, is called shape factor
A)  
B)  In a loaded beam, the moment at which the first yield occurs is called yield moment
B)  
C)  In a loaded beam, the moment at which the entire section of the beam becomes fully plastic, is called plastic moment
C)  
D)  All of the above
D)  

Correct Answer :   All of the above

Explaination : * The ratio of plastic moment to the yield moment, is called shape factor
* In a loaded beam, the moment at which the first yield occurs is called yield moment
* In a loaded beam, the moment at which the entire section of the beam becomes fully plastic, is called plastic moment
* In a fully plastic stage of the beam, the neutral axis divides the section in two sections of equal area

54 .
The ratio of maximum shear stress to average shear stress of a circular beam, is
A)  2/3
B)  3/2
C)  4/3
D)  3/4

Correct Answer :   4/3

55 .
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)  18 m
A)  
B)  16 m
B)  
C)  14 m
C)  
D)  12 m
D)  

Correct Answer :   16 m

56 .
The forces in the members of simple trusses, may be analysed by
A)  method of joints
B)  graphical method
C)  method of sections
D)  All of the above

Correct Answer :   All of the above

57 .
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 x 106 kg/cm2, the side of the rod, is
A)  1 cm
A)  
B)  1.5 cm
B)  
C)  2 cm
C)  
D)  2.5 cm
D)  

Correct Answer :   2 cm

58 .
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

Correct Answer :   L/3

59 .
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

Correct Answer :   m = 2j - 3

60 .
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)  4.5 mm
B)  5.0 mm
C)  5.5 mm
D)  6.0 mm

Correct Answer :   5.5 mm

61 .
The force in BF of the truss shown in given figure, is
A)  4t tension
A)  
B)  4t compression
B)  
C)  4.5t tension
C)  
D)  4.5t compression
D)  

Correct Answer :   4.5t compression

62 .
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
A)  wa/27
B)  wa²/27
C)  w²a/√27
D)  wa²/9√3

Correct Answer :   wa²/9√3

63 .
In plastic analysis, the shape factor for rectangular section, is
A)  1.5
B)  1.6
C)  1.7
D)  1.8

Correct Answer :   1.5

64 .
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
A)  
B)  0.307
B)  
C)  0.407
C)  
D)  0.508
D)  

Correct Answer :   0.207

65 .
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 x 10⁶ N/mm², the deflection of the free end, is
A)  6 mm
A)  
B)  5 mm
B)  
C)  4 mm
C)  
D)  3 mm
D)  

Correct Answer :   5 mm

66 .
Pick up the correct statement from the following :
A)  The shear stress is zero at the outer fibres and maximum at the neutral axis
A)  
B)  The bending stress at the outer fibres, is known as principal stress
B)  
C)  The planes of principal stresses are inclined at 45° to the neutral plane
C)  
D)  All of the above
D)  

Correct Answer :   All of the above

Explaination : * The shear stress is zero at the outer fibres and maximum at the neutral axis
* The bending stress at the outer fibres, is known as principal stress
* The planes of principal stresses are inclined at 45° to the neutral plane
* The bending stress in a section is zero at its neutral axis and maximum at the outer fibres

67 .
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 x 10⁶ N/mm², the depth of the joist, is
A)  300 mm
A)  
B)  350 mm
B)  
C)  400 mm
C)  
D)  500 mm
D)  

Correct Answer :   400 mm

68 .
The degree of indeterminacy of the frame in the given figure, is
A)  1
A)  
B)  2
B)  
C)  3
C)  
D)  Zero
D)  

Correct Answer :   3

69 .
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)  4P/a²
B)  3P/a²
C)  2P/a²
D)  P/a²

Correct Answer :   3P/a²

70 .
A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm2² and 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)  σb = 10 N/mm², σs = 20 N/mm²
A)  
B)  σb = 8 N/mm², σs = 16 N/mm²
B)  
C)  σb = 6 N/mm², σs = 12 N/mm²
C)  
D)  σb = 5 N/mm², σs = 10 N/mm²
D)  

Correct Answer :   σb = 10 N/mm², σs = 20 N/mm²

71 .
Flat spiral springs
A)  consist of uniform thin strips
B)  are supported at outer end
C)  are wound by applying a torque
D)  All of the above

Correct Answer :   All of the above

Explanation : * consist of uniform thin strips
* are supported at outer end
* are wound by applying a torque
* are used in clock-work mechanism

72 .
The ratio of shear stress and shear strain of an elastic material, is
A)  Modulus of Rigidity
B)  Shear Modulus
C)  Both (A) and (B)
D)  Young's Modulus

Correct Answer :   Both (A) and (B)

73 .
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)  1/10
B)  1/12
C)  1/14
D)  1/16

Correct Answer :   1/16

74 .
The greatest load which a spring can carry without getting permanently distorted, is called
A)  proof load
B)  stiffness
C)  proof stress
D)  prof resilience

Correct Answer :   proof load

75 .
A three hinged arch is generally hinged at its supports and
A)  at the crown
B)  at one quarter span
C)  any where in the rib
D)  None of the above

Correct Answer :   any where in the rib

76 .
The equivalent length is of a column of length L having both the ends fixed, is
A)  L
B)  2L
C)  L/2
D)  L/√2

Correct Answer :   L/2

77 .
A masonry dam (density = 20, 000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be
A)  75000 N/m²
A)  
B)  7500 N/m²
B)  
C)  750 N/m²
C)  
D)  75 N/m²
D)  

Correct Answer :   7500 N/m²

78 .
The ratio of tangential and normal components of a stress on an inclined plane through θ° to the direction of the force, is :
A)  sin θ
B)  cos θ
C)  tan θ
D)   sec θ

Correct Answer :   tan θ

79 .
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

Correct Answer :   4

80 .
Maximum strain theory for the failure of a material at the elastic limit, is known as
A)  Rankine's theory
B)  St. Venant's theory
C)  Von Mises's theory
D)  Guest's or Trecas' theory

Correct Answer :   St. Venant's theory

81 .
Pick up the correct statement from the following :
A)  The vertical compression members, are generally known as columns or stanchions
A)  
B)  Deflection in lateral direction of a long column, is generally known as buckling
B)  
C)  The structural member subjected to compression and whose dimensions are small as compared to its length, is called a stmt
C)  
D)  All of the above
D)  

Correct Answer :   All of the above

82 .
Gradually applied static loads do not change with time their
A)  magnitude
B)  direction
C)  point of application
D)  All of the above

Correct Answer :   All of the above

83 .
Slenderness ratio of a long column, is
A)  length of column divided by least radius of gyration
B)  area of cross-section divided by radius of gyration
C)  radius of gyration divided by area of cross-section
D)  area of cross-section divided by least radius of gyration

Correct Answer :   length of column divided by least radius of gyration

84 .
In the truss shown in given figure, the force in member BD is
A)  zero
A)  
B)  100 t tensile
B)  
C)  100 t compressive
C)  
D)  indeterminate
D)  

Correct Answer :   100 t compressive

85 .
The normal and tangential components of stress on an inclined plane through θ° to the direction of the force, will be equal if θ is
A)  30°
B)  45°
C)  60°
D)  90°

Correct Answer :   45°

86 .
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
A)  
B)  511 N mm
B)  
C)  611 N mm
C)  
D)  711 N mm
D)  

Correct Answer :   611 N mm

87 .
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 of the above

Correct Answer :   it is subjected to pure bending

88 .
For beams breadth is constant,
A)  depth d ∝ M
B)  depth d ∝ √M
C)  depth d ∝ 3√M
D)  depth d ∝ 1/M

Correct Answer :   depth d ∝ √M

89 .
A body is said to be in equilibrium if
A)  it moves vertically
B)  it moves horizontally
C)  it rotates about its C.G.
D)  None of the above

Correct Answer :   None of the above

90 .
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/√3
C)  D/2√3
D)  D/4√3

Correct Answer :   D/2√3

91 .
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is
A)  0.404
B)  0.505
C)  0.606
D)  0.707

Correct Answer :   0.707

92 .
The ratio of maximum and average shear stresses on a rectangular section, is
A)  1.25
B)  1.5
C)  2.0
D)  2.5

Correct Answer :   1.5

93 .
The locus of the moment of inertia about inclined axes to the principal axis, is
A)  ellipse
B)  circle
C)  parabola
D)  straight line

Correct Answer :   ellipse

94 .
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)  EL³ / 8EL
C)  WL³ / 24EL
D)  WL³ / 48EL

Correct Answer :   WL³ / 48EL

95 .
The strain energy due to volumetric strain
A)  is directly proportional to the volume
B)  is inversely proportional to Bulk modulus
C)  is directly proportional to the square of exerted pressure
D)  All of the above

Correct Answer :   All of the above

96 .
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 + 3
A)  
B)  m = m1 + m2 + 2
B)  
C)  m = m1 + m2 + 1
C)  
D)  m = m1 + m2
D)  

Correct Answer :   m = m1 + m2 + 3

97 .
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

Correct Answer :   L/5

98 .
The force in CD of the truss shown in given figure, is
A)  zero
A)  
B)  3t tension
B)  
C)  3t compression
C)  
D)  1.5t compression
D)  

Correct Answer :   zero

99 .
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is
A)  1
B)  2
C)  3
D)  1/4

Correct Answer :   2

100 .
The forces acting normally on the cross section of a bar shown in the given figure introduce
A)  shear stress
A)  
B)  tensile stress
B)  
C)  compressive stress
C)  
D)  None of the above
D)  

Correct Answer :   compressive stress

101 .
The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called
A)  stiffness
B)  proof load
C)  proof resilience
D)  proof stress

Correct Answer :   proof resilience

102 .
Co-efficient of wind resistance of a circular surface, is
A)  1/2
B)  1/3
C)  2/3
D)  3/2

Correct Answer :   2/3

103 .
Pick up the correct statement from the following :
A)  For a uniformly distributed load, the shear force varies linearly
A)  
B)  For a uniformly distributed load, B.M. curve is a parabola
B)  
C)  For a load varying linearly, the shear force curve is a parabola
C)  
D)  All of the above
D)  

Correct Answer :   All of the above

Explaination : * For a uniformly distributed load, the shear force varies linearly
* For a uniformly distributed load, B.M. curve is a parabola
* For a load varying linearly, the shear force curve is a parabola
* For a load varying linearly, the B.M. curve is a cubic parabola

104 .
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is
A)  1.5
B)  2.0
C)  2.5
D)  3.0

Correct Answer :   3.0

105 .
By applying the static equations i.e. ΣH = 0, ΣV = 0 and ΣM = 0, to a determinate structure, we may determine
A)  shear forces only
B)  bending moments only
C)  supporting reactions only
D)  All of the above

Correct Answer :   All of the above

106 .
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)  1/2
A)  
B)  1/3
B)  
C)  1/4
C)  
D)  1/8
D)  

Correct Answer :   1/2

107 .
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 x 10⁵ N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm², the angle of twist in radians, is
A)  0.002
A)  
B)  0.003
B)  
C)  0.005
C)  
D)  0.0025
D)  

Correct Answer :   0.0025

108 .
Stress may be expressed in Newtons
A)  per metre square (N/m²)
B)  per centimetre square (N/cm²)
C)  per millimetre square (N/mm²)
D)  All of the above

Correct Answer :   All of the above

109 .
The maximum B.M. due to an isolated load in a three hinged parabolic arch, (span l, rise h) having one of its hinges at the crown, occurs on either side of the crown at a distance
A)  I/4
A)  
B)  h/4
B)  
C)  I/2√3
C)  
D)  I/3√3
D)  

Correct Answer :   I/2√3

110 .
Principal planes are subjected to
A)  normal stresses only
B)  tangential stresses only
C)  normal stresses as well as tangential stresses
D)  None of the above

Correct Answer :   normal stresses only

111 .
In plastic analysis, the shape factor for a circular section, is
A)  1.75
B)  1.7
C)  1.6
D)  1.5

Correct Answer :   1.7

112 .
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)  π
B)  π/2
C)  π/3
D)  π/4

Correct Answer :   π/2

113 .
Stress may be defined as
A)  force per unit length
B)  force per unit volume
C)  force per unit area
D)  None of the above

Correct Answer :   force per unit area

114 .
Total strain energy theory for the failure of a material at elastic limit, is known
A)  Haig's theory
B)  Rankine's theory
C)  St. Venant's theory
D)  Guest's or Trecas' theory

Correct Answer :   Haig's theory

115 .
The assumption in the theory of bending of beams, is :
A)  material is isotropic
B)  material is homogeneous
C)  each layer is independent to expand or to contract
D)  All of the above

Correct Answer :   All of the above

116 .
The normal component of a force inclined through θ° is obtained by multiplying the force by
A)  sin θ
B)  cos θ
C)  tan θ
D)  sin θ cos θ

Correct Answer :   sin θ cos θ

117 .
The point of contraflexure is the point where
A)  S.F. is zero
B)  B.M. is maximum
C)  B.M. changes sign
D)  B.M. is minimum

Correct Answer :   B.M. changes sign

118 .
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

Correct Answer :   1.10 to 1.20

119 .
Shear strain energy theory for the failure of a material at elastic limit, is due to
A)  Rankine
B)  Von Mises
C)  St. Venant
D)  Guest or Trecas

Correct Answer :   Von Mises

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