Download Elements of Civil Engineering

Model Question Paper
ELEMENTS OF CIVIL ENGINEERING AND ENGINEERING MECHANICS
(14CIV13/14CIV23)
Time: 3 hrs.
Note:
Max. Marks: 100
Answer any FIVE full questions, choosing one full question from each module.
MODULE 1
1)
a.
Briefly explain the scope of any four fields of civil engineering.
(10 Marks)
b.
Resolve 400 N force acting on a block as shown in fig 1(b)
(10 Marks)
i) into horizontal and vertical components
ii) Along the inclined plane and right angles to the plane.
OR
2)
a.
Write shorts on :
i)
(10 Marks)
Shoulders
ii) Kerbs
iii) Traffic separators
iv) Subgrade
b.
Explain different type of force systems?
(10 Marks)
MODULE 2
3)
a.
Two forces of 800 N and 600 N act at a point as shown in fig 3(a). The
(10 Marks)
resultant of the two forces is 1200 N. Determine the angle between the
forces and the direction of the resultant.
b.
Determine the resultant of the forces acting on a body as shown in fig 3(b).
(10 Marks)
OR
4)
a.
26kN force is the resultant of the two forces, one of which is as shown in fig
(10 Marks)
4(a). Determine the other force.
b.
State and prove Varignon’s theorem of moments.
(10 Marks)
MODULE 3
5)
a.
State and prove Lami’s theorem.
(8 Marks)
b.
Determine the support reactions for the overhanging beam shown in fig 5(b).
(12 Marks)
OR
6)
a.
Determine the reactions at contact points for the spheres A,B and C as
(10 Marks)
shown in Fig 6(a). It is given that WA = WB, WC = 6kN, dA = dB = 500
mm, dC = 800 mm.
b.
What is the Value of ‘P’ in the system shown in fig 6(b) to cause the motion
(10 Marks)
to impend to the left? Assume the pulley is smooth and co‐efficient of
friction between the other contact surfaces is 0.20.
MODULE 4
7)
a.
Determine the centroid of a semi‐circular lamina of Radius “R” by the method
(8 Marks)
of integration.
b.
Calculate the polar moment of inertia of the shaded area as shown in Fig 7(b).
(12 Marks)
OR
8)
a.
Determine the centroid of the section of the concrete dam as shown in fig
(8 Marks)
8(a).
b.
Determine the moment of inertia of a triangle of base width ‘b’ and height ‘h’
(12 Marks)
about its base. Also determine the moment of inertia about the centroidal
axis parallel to the base.
MODULE 5
9)
a.
What is a Projectile? Define the following terms briefly:
(10 Marks)
(i) Angle of projection, (ii) Horizontal Range, (iii) Vertical Height and (iv)
Time of flight.
b.
A Burglar’s car starts an acceleration of 2 m/s2. A police vigilant party
(10 Marks)
came after 5 s and continued to chase the Burglar’s car with a uniform
velocity of 20 m/s. Find the time taken in which the police van will overtake
the car.
OR
10)
a.
What is a Centrifugal Force? What is Super elevation?
(4 Marks)
b.
Determine the position at which the ball is thrown up the plane will strike the
(8 Marks)
inclined plane as shown in Figure 10(b). The initial velocity is 30 m/s and
angle of projection is tan–1(4/3) with horizontal.
c.
A stone is dropped from the top of the tower 50 m high. At the same time
another stone is thrown up from the foot of the tower with a velocity of
25 m/s. At what distance from the top and after how much time the two
stones cross each other.
Figure 1(b)
Figure 3(a)
Figure 3(b)
Figure 4(a)
Fig5(b)
Fig6(a)
(8 Marks)
Fig6(b)
Fig7(b)
Fig 10(b)
Fig 8(a)
14qrv13
USN
First semester B.E. Degree Examination, Dec.2Dl4lJan.2Dll
Elements of Givil Engineering and Engineering Mechanics
Time: 3 hrs.
1 a.
b.
(.)
o
Max. Marks:100
Note: Answer FIVE fuII questions, selecting
at lesst ONE questionfrom each part.
PART _ I
Briefly explain the role of civil engineers in the infrastructural development. (10 Marks)
In the triangle ABC, a force at 'A' produces a clockwise moment of 90 kN-m at B and an
anticlockwise moment of 45 kN-m at C. Find the magnitude and direction of the force.
(J
(06 Marks)
o.
a
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a)
c)
'!2 a
Fig.
cca
c.
a.
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b.
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on
ol
-O
-!
3=
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boi
,6
-O
s5
-2.
a.
b.
c.
a.
6J
ts
(b)
Fig. Q3 (a)
Define force and its characteristics.
(04 Marks)
Explain the following with neat sketches: i) Principle of superposition of forces. '
ii) Principle of transmissibility of forces. iii) Couple and its characteristics. (10 Marks)
Draw typical cross section of a road and explain the parts.
(10 Marks)
PART _ 2
Four co-planar forces acting at a point are shown in Fig. Q3 (a). One of the forces is
unknown and its magnitude is shown by 'P'. The resultant has a magnitude of 500 N and is
acting along the x-axis. Determine the unknown force 'P' and its inclination with x-axis.
(08 Marks)
(06 Marks)
State and prove Varignon's theorem of moments.
State and prove parallelogram law of forces.
(06 Marks)
Determine the magnitude. direction of the resultant force for the force system as shown in
Fig. Qa (a). Locate the resultant force with respect to point D.
(08 Marks)
g=LG E*J
k
OE
Ql
,.AJ
?d)
g6
lo kN
tro.
oj
!,
i;
ao
oE
!o
bo'
cO0
o=
o. ;j
tr>
:o
5"
L,<
rC\
b.
c.
5a.
r1g.
Fig. Q4
(a)
Qa (a)
Fig. Qa @)
26 kN force is the resultant of the two forces, one of which is as shown in Fig. Q4 (b).
Determine the other force.
(0&Marks)
Explain the principle of resolved parts.
(04 Marks)
PART _ 3
Determine the reactions at contact points for spheres A, B and C as shown in Fig. Q5 (a). It
is given that We: We :4 kN, Wc :6 kN, do = du = 500mm, d. = 800 mm (12 Marks)
tOO
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,.r.J
z
o
o,
h*tn-{.-ltl-3r;
Lnoo----i
Fig. Qs (b)
Fig. Qs (a)
I of2
14CIV13
b.
6a.
b.
For the beam with loading shown in Fig. Q5 (b), determine the reactions at the supports.
(08 Marks)
(08 Marks)
State and prove Lami's theorem.
The ladder shown in Fig. Q6 (b) is 4 m long and is supported by a horizontal floor and
vertical wall. The co-efficient of friction at the wall is 0.25 and at the floor is 0.50. The
weight of the ladder is 200 N, considered concentrated at 'G'. The ladder supports a vertical
load of 1000 N at'C'. Determine the reactions 'A' and 'B' and compute the least value of
'a.' at which, the ladder may be placed without slipping.
(08 Marks)
lDoo N
Fie. Q6 (b)
c.
7 a.
.'
Fig. Q7 (b)
State laws of friction.
(04 Marks)
PART - 4
Determine the centroid of a semi-ct*fu. fu-inu of radius
'R' by method of integration.
(08 Marks)
b.
8a.
b.
Determine the moment of inertia of the section shown in Fig. Q7 (b) about its centroidal
axes. Calculate the least radius of gyrafion for the section as well.
(12 Marks)
State and prove parallel axis theorem.
Locate the centroid of the shaded area as shown in Fig. QS (b).
(06 Marks)
(08 Marks)
t
Im
,
c.
'Fig. Qe (b)
Fig. Q8 (b)
Derive an eXpression for moment of inertia of a triangle with respect to horizontal centroidal
(06 Marks)
AXlS.
9a.
b.
PART
What is centrifugal force? What is super elevation?
(04 Marks)
Determine the position at which the ball is thrown up the plane will strike the inclined plane
as shown in Fig. Q9
c.
-
with
(b).The initial velocity is 30 m/s and angle of projection
horizontal.
i,
,un-
[1)
\3i
(08 Marks)
A stone is dropped from the top of the tower 50 m high. At the same time another stone is
thrown up from the tower with a velocity of 25 m/s. At what distance from the top and after
how much time the two stones cross each other?
(08 Marks)
10 a. What is a
b.
5
projectile? Define the following terms briefly: i) Angle of projection
ii) Horizontal range iii) Vertical height iv) Time of flight.
(10 Marks)
A burglar's car starts at an acceleration of 2 rn/s2 . A police vigilant party came after 5 s and
continued to chase the burglar's car with a uniform velocity of 20 m/s. Find the time taken in
(10 Marks)
which the police van will overtake the car.
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2
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