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Civil Engineering : Theory of Structures - Quiz(MCQ)
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
B)
284 MN
C)
274 MN
D)
264 MN

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
B)
ΣV = 0
C)
ΣM = 0
D)
All of the above

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°
B)
60°
C)
45°
D)
30°

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
B)
modulus of rigidity
C)
reciprocal of the length of the shaft
D)
moment of inertia of the shaft section

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
B)
a/3
C)
a/√3
D)
a√3/2

Correct Answer :   a/√3

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 σâ‚‚ cos θ
B)
σ₁ sin θ² + σâ‚‚ cos² θ
C)
(σ₁-σâ‚‚) sin 2θ/2
D)
(σ₁+σâ‚‚) sin 2θ/2

Correct Answer :   σ₁ sin θ² + σâ‚‚ cos² θ

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
B)
indeterminate
C)
100 t tensile
D)
100 t compressive

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
B)
3.00 cm
C)
3.50 cm
D)
4.25 cm

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
B)
Ix + Iy / 2
C)
Ix - Iy / 2
D)
Ix / Iy

Correct Answer :   Ix + Iy

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
B)
5t tension
C)
4t compression
D)
5t compression

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
B)
tensile stress
C)
compressive stress
D)
None of the above

Correct Answer :   tensile stress

A)
WL² / 2EI
B)
WL² / 3EI
C)
WL³ / 2EI
D)
WL³ / 3EI

Correct Answer :   WL³ / 3EI

A)
n / 16
B)
2n / 15
C)
3n / 16
D)
3n / 8

Correct Answer :   3n / 16

A)
L
B)
2L
C)
L/2
D)
L/√2

Correct Answer :   L/√2

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

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
B)
T/M
C)
2M/T
D)
2T/M

Correct Answer :   2M/T

A)
Q = S + F
B)
Q = F - S
C)
Q = S - F
D)
Q = S x F

Correct Answer :   Q = S x F

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
B)
For channels, the shear centre does not concide its centroid
C)
Bending loads should pass through the shear centre to avoid twisting
D)
All of the above

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

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
B)
0.5t tension
C)
3.0t compression
D)
4.0t compression

Correct Answer :   0.5t compression

A)
4
B)
8
C)
12
D)
16

Correct Answer :   16

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

Correct Answer :   a cantilever with a uniformly distributed load

A)
Poisson's ratio
B)
Hooke's ratio
C)
Yield ratio
D)
Plastic ratio

Correct Answer :   Poisson's ratio

A)
width b ∝ M
B)
width b ∝ √M
C)
width b ∝ 3 √M
D)
None of the above

Correct Answer :   width b ∝ M

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
B)
6.25 t compressive
C)
8.75 / √3 t tensile
D)
8.75 / √3 t compressive

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
B)
3.125 cm³
C)
2.125 cm³
D)
1.125 cm³

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
B)
joint B
C)
joint C
D)
joint D

Correct Answer :   joint D

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
B)
4t tension
C)
5t tension
D)
5t compression

Correct Answer :   5t compression

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

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
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 of the above

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

A)
Haig's theory
B)
Rankine's theory
C)
St. Venant's theory
D)
Guest's or Trecas' theory

Correct Answer :   Rankine's theory

A)
stiffness
B)
proof load
C)
proof stress
D)
proof resilience

Correct Answer :   stiffness

A)
angle of twist
B)
length of the shaft
C)
radius of the shaft
D)
modulus of rigidity

Correct Answer :   length of the shaft

A)
two bars
B)
three parallel bars
C)
three bars
D)
three bars intersecting at a point

Correct Answer :   three bars

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
C)
2
D)
3

Correct Answer :   1

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
B)
1/3
C)
1/4
D)
2/3

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

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

Correct Answer :   35 N

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

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
B)
In a loaded beam, the moment at which the first yield occurs is called yield moment
C)
In a loaded beam, the moment at which the entire section of the beam becomes fully plastic, is called plastic moment
D)
All of the above

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

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
B)
16 m
C)
14 m
D)
12 m

Correct Answer :   16 m

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
B)
1.5 cm
C)
2 cm
D)
2.5 cm

Correct Answer :   2 cm

A)
m = 2j - 3
B)
j = 2m - 3
C)
m = 3j - 2
D)
j = 3m - 2

Correct Answer :   m = 2j - 3

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

Correct Answer :   4.5t compression

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

Correct Answer :   wa²/9√3

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
B)
0.307
C)
0.407
D)
0.508

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
B)
5 mm
C)
4 mm
D)
3 mm

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
B)
The bending stress at the outer fibres, is known as principal stress
C)
The planes of principal stresses are inclined at 45° to the neutral plane
D)
All of the above

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
B)
350 mm
C)
400 mm
D)
500 mm

Correct Answer :   400 mm

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

Correct Answer :   3

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
B)
σb = 8 N/mm², σs = 16 N/mm²
C)
σb = 6 N/mm², σs = 12 N/mm²
D)
σb = 5 N/mm², σs = 10 N/mm²

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

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

A)
Modulus of Rigidity
B)
Shear Modulus
C)
Both (A) and (B)
D)
Young's Modulus

Correct Answer :   Both (A) and (B)

A)
proof load
B)
stiffness
C)
proof stress
D)
prof resilience

Correct Answer :   proof load

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

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
B)
7500 N/m²
C)
750 N/m²
D)
75 N/m²

Correct Answer :   7500 N/m²

A)
sin θ
B)
cos θ
C)
tan θ
D)
sec θ

Correct Answer :   tan θ

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
B)
Deflection in lateral direction of a long column, is generally known as buckling
C)
The structural member subjected to compression and whose dimensions are small as compared to its length, is called a stmt
D)
All of the above

Correct Answer :   All of the above

A)
magnitude
B)
direction
C)
point of application
D)
All of the above

Correct Answer :   All of the above

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
B)
100 t tensile
C)
100 t compressive
D)
indeterminate

Correct Answer :   100 t compressive

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
B)
511 N mm
C)
611 N mm
D)
711 N mm

Correct Answer :   611 N mm

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

A)
depth d ∝ M
B)
depth d ∝ √M
C)
depth d ∝ 3√M
D)
depth d ∝ 1/M

Correct Answer :   depth d ∝ √M

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

A)
D/2
B)
D/√3
C)
D/2√3
D)
D/4√3

Correct Answer :   D/2√3

A)
0.404
B)
0.505
C)
0.606
D)
0.707

Correct Answer :   0.707

A)
1.25
B)
1.5
C)
2.0
D)
2.5

Correct Answer :   1.5

A)
ellipse
B)
circle
C)
parabola
D)
straight line

Correct Answer :   ellipse

A)
WL³ / 3EL
B)
EL³ / 8EL
C)
WL³ / 24EL
D)
WL³ / 48EL

Correct Answer :   WL³ / 48EL

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
B)
m = m1 + m2 + 2
C)
m = m1 + m2 + 1
D)
m = m1 + m2

Correct Answer :   m = m1 + m2 + 3

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

Correct Answer :   zero

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

Correct Answer :   compressive stress

A)
stiffness
B)
proof load
C)
proof resilience
D)
proof stress

Correct Answer :   proof resilience

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
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 of the above

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

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
B)
1/3
C)
1/4
D)
1/8

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
B)
0.003
C)
0.005
D)
0.0025

Correct Answer :   0.0025

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
B)
h/4
C)
I/2√3
D)
I/3√3

Correct Answer :   I/2√3

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

A)
1.75
B)
1.7
C)
1.6
D)
1.5

Correct Answer :   1.7

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

A)
Haig's theory
B)
Rankine's theory
C)
St. Venant's theory
D)
Guest's or Trecas' theory

Correct Answer :   Haig's theory

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

A)
sin θ
B)
cos θ
C)
tan θ
D)
sin θ cos θ

Correct Answer :   sin θ cos θ

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

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

A)
Rankine
B)
Von Mises
C)
St. Venant
D)
Guest or Trecas

Correct Answer :   Von Mises