Download VTU BE 2020 Jan Question Paper 15 Scheme 5CIV1323 Elements of Civil Engineering and Mechanics First And Second Semester

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4, ofE. _ _
First/Second Semester B.E. Degree Examination, E

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--
9/Jan.2020
Elements of Civil Engineering and Mechanics
USN
5CIV13/23

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Time: 3 hrs. Max. Marks: 80
Note: 1. Answer any FIVE full questions, choosing
ONE full question from each module.
2. Missing data suitably be assumed.
Module-1

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Explain briefly the role of civil engineers in the infrastructure development of a country.
(06 Marks)
Draw typical cross section of a road and explain its components. (06 Marks)
A 100N vertical force is applied to the end of a lever which is attached to a sha ft as shown in
F i g. Q. 1(c). Determine:

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i) Moment of force about '0'
ii) The horizontal force applied at 'A' which creates same moment about '0'. (04 Marks)
A
OR
e.-.1

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2 a. Reduce the system in Fig.Q.2(a) to
i) Single force
ii) Single force and couple at A
iii) Single force and couple at B
0

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rIJ
(06 Marks)
KN 30 kN 40 kN
>,
0 <

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rsi
Fig.Q.2(a)
b. Define couple. Explain its characteristics.
c. Distinguish between Gainty Dam and Earthen Dam.
o

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Module-2
3 a. State and prove parallelogram law of forces.
b. State the laws of static friction.
A
H- 1 m 1 m 1 m ?6+4? 1 in

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4.5 m
(04 Marks)
(06 Marks)
(06 Marks)
(04 Marks)

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1 of 3
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?-?
Fig.Q. 1 (c)
I X

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LIBRARY
.7 cHlicopt
'0 ?
14
,9

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4, ofE. _ _
First/Second Semester B.E. Degree Examination, E
--
9/Jan.2020
Elements of Civil Engineering and Mechanics

--- Content provided by‍ FirstRanker.com ---

USN
5CIV13/23
Time: 3 hrs. Max. Marks: 80
Note: 1. Answer any FIVE full questions, choosing
ONE full question from each module.

--- Content provided by FirstRanker.com ---

2. Missing data suitably be assumed.
Module-1
Explain briefly the role of civil engineers in the infrastructure development of a country.
(06 Marks)
Draw typical cross section of a road and explain its components. (06 Marks)

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A 100N vertical force is applied to the end of a lever which is attached to a sha ft as shown in
F i g. Q. 1(c). Determine:
i) Moment of force about '0'
ii) The horizontal force applied at 'A' which creates same moment about '0'. (04 Marks)
A

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OR
e.-.1
2 a. Reduce the system in Fig.Q.2(a) to
i) Single force
ii) Single force and couple at A

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iii) Single force and couple at B
0
rIJ
(06 Marks)
KN 30 kN 40 kN

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>,
0 <
rsi
Fig.Q.2(a)
b. Define couple. Explain its characteristics.

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c. Distinguish between Gainty Dam and Earthen Dam.
o
Module-2
3 a. State and prove parallelogram law of forces.
b. State the laws of static friction.

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A
H- 1 m 1 m 1 m ?6+4? 1 in
4.5 m
(04 Marks)
(06 Marks)

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(06 Marks)
(04 Marks)
1 of 3
ti
1 54CIV

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C.
Four coplanar forces acting at a point are as shown in Fig.Q.3(c). One of the forces is
unknown and its magnitude is as shown by F. The resultant is 500N and is along x-axis.
Determine the force 'F' and its inclination 0 with x-axis. (06 Marks)
y-aX:5

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200 N
5
x-axis
20'
Fl 500 N

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500 N
200 N
F12.Q.3(e)
OR
4 a. State and prove Lami's theorem. (04 Marks)

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b. Determine the reactions at the point of contact for the sphere shown in Fig.Q.4(b). (04 Marks)
10 k-f-
1

Fig.Q.4(b)

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c. Determine the force P required to cause motion of blocks to impend. Take the weight of A
as 90N and weight of B as 45N. Take the coefficient of friction for all contact surfaces as
0.25. Consider the pulleys as frictionless (Fig.Q.4(c)). (08 Marks)
Fig.Q.4(c)
Module-3

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5 a. State and prove Varignon's theorem. (06 Marks)
b. Find the reactions for the beam supported and loaded as shown in Fig.Q.5(b). (10 Marks)
25 kN 10 kNfm
30 kN
45 25 kN-rn

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B
rn 4? 1 m 1 rn 1 -n
Fig.Q.5(b)
1.5 m
0

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2 of 3
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CHIKOD1
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Fig.Q. 1 (c)
I X
LIBRARY
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14
,9
4, ofE. _ _
First/Second Semester B.E. Degree Examination, E
--

--- Content provided by‌ FirstRanker.com ---

9/Jan.2020
Elements of Civil Engineering and Mechanics
USN
5CIV13/23
Time: 3 hrs. Max. Marks: 80

--- Content provided by‌ FirstRanker.com ---

Note: 1. Answer any FIVE full questions, choosing
ONE full question from each module.
2. Missing data suitably be assumed.
Module-1
Explain briefly the role of civil engineers in the infrastructure development of a country.

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(06 Marks)
Draw typical cross section of a road and explain its components. (06 Marks)
A 100N vertical force is applied to the end of a lever which is attached to a sha ft as shown in
F i g. Q. 1(c). Determine:
i) Moment of force about '0'

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ii) The horizontal force applied at 'A' which creates same moment about '0'. (04 Marks)
A
OR
e.-.1
2 a. Reduce the system in Fig.Q.2(a) to

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i) Single force
ii) Single force and couple at A
iii) Single force and couple at B
0
rIJ

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(06 Marks)
KN 30 kN 40 kN
>,
0 <
rsi

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Fig.Q.2(a)
b. Define couple. Explain its characteristics.
c. Distinguish between Gainty Dam and Earthen Dam.
o
Module-2

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3 a. State and prove parallelogram law of forces.
b. State the laws of static friction.
A
H- 1 m 1 m 1 m ?6+4? 1 in
4.5 m

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(04 Marks)
(06 Marks)
(06 Marks)
(04 Marks)
1 of 3

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ti
1 54CIV
C.
Four coplanar forces acting at a point are as shown in Fig.Q.3(c). One of the forces is
unknown and its magnitude is as shown by F. The resultant is 500N and is along x-axis.

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Determine the force 'F' and its inclination 0 with x-axis. (06 Marks)
y-aX:5
200 N
5
x-axis

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20'
Fl 500 N
500 N
200 N
F12.Q.3(e)

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OR
4 a. State and prove Lami's theorem. (04 Marks)
b. Determine the reactions at the point of contact for the sphere shown in Fig.Q.4(b). (04 Marks)
10 k-f-
1

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Fig.Q.4(b)
c. Determine the force P required to cause motion of blocks to impend. Take the weight of A
as 90N and weight of B as 45N. Take the coefficient of friction for all contact surfaces as
0.25. Consider the pulleys as frictionless (Fig.Q.4(c)). (08 Marks)

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Fig.Q.4(c)
Module-3
5 a. State and prove Varignon's theorem. (06 Marks)
b. Find the reactions for the beam supported and loaded as shown in Fig.Q.5(b). (10 Marks)
25 kN 10 kNfm

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30 kN
45 25 kN-rn
B
rn 4? 1 m 1 rn 1 -n
Fig.Q.5(b)

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1.5 m
0
2 of 3
LIE3RARY
CHIKOD1

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15CIV13/23
OR
a. Explain different type of supports with sketches and reactions. (06 Marks)
b. Determine the resultant of the four forces acting on a frame as shown in Fig.Q6(b) with
respect to point `CY. (10 Marks)

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?ow 0_5 rnwi? -
rn _b 4
3 of
Fig.Q.6(b)
200 N

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3m
500 N
*400 N
300 N
Module-4

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7 a. Derive an expression for the centroid of semicircle with respect to base.
b. Compute the Radii of gyration about its centroidal axes Fig.Q.7(b).
(06 Marks)
(10 Marks)
OR

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8 a. Derive an expression for the moment of inertia of a quadrant about its centroidal axes.
(08 Marks)
b. Determine the position of centroid with respect to 'Cr shown in Fig.Q.8(b). (08 Marks)
Fig.Q.8(b)
Pd

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---
20 MM
Module-5
9 a. What is 'Pojectile? Define the following term briefly: i) Angle of projection ii) Horizontal
range iii) Vertical height ? and iv) Time of flight. (08 Marks)

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b. A stone is thrown vertically upward from the top of tower 20m high with a velocity of
I 5m/s. Find: i) The highest elevation reached by the store ii) The time required for the
stone to cross the top of tower during its downward motion and corresponding velocity.
(08 Marks)
OR

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10 a. What is super elevation? What is its purpose? (04 Marks)
b. The particle moves along.4
.
curve of characteristic x = 0.65y
2

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. Its value of motion is x --- 4r
2
at the instant when t --- 3s. Determine: i) The displacement of particle from origin ii) The
velocity of particle .iii) The acceleration of particle. (06 Marks)
C. The acceleration of a particle is defined by a = -3m/s

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2
if V = 9m/s and V = 9m/s and
x = 0 when t ?0. Determine: i) Velocity ii) Distance travelled at t = 9s. (06 Marks)
* * * * * c..
3 of 3

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4. ,;
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?-?
Fig.Q. 1 (c)
I X

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LIBRARY
.7 cHlicopt
'0 ?
14
,9

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4, ofE. _ _
First/Second Semester B.E. Degree Examination, E
--
9/Jan.2020
Elements of Civil Engineering and Mechanics

--- Content provided by FirstRanker.com ---

USN
5CIV13/23
Time: 3 hrs. Max. Marks: 80
Note: 1. Answer any FIVE full questions, choosing
ONE full question from each module.

--- Content provided by‍ FirstRanker.com ---

2. Missing data suitably be assumed.
Module-1
Explain briefly the role of civil engineers in the infrastructure development of a country.
(06 Marks)
Draw typical cross section of a road and explain its components. (06 Marks)

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A 100N vertical force is applied to the end of a lever which is attached to a sha ft as shown in
F i g. Q. 1(c). Determine:
i) Moment of force about '0'
ii) The horizontal force applied at 'A' which creates same moment about '0'. (04 Marks)
A

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OR
e.-.1
2 a. Reduce the system in Fig.Q.2(a) to
i) Single force
ii) Single force and couple at A

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iii) Single force and couple at B
0
rIJ
(06 Marks)
KN 30 kN 40 kN

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>,
0 <
rsi
Fig.Q.2(a)
b. Define couple. Explain its characteristics.

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c. Distinguish between Gainty Dam and Earthen Dam.
o
Module-2
3 a. State and prove parallelogram law of forces.
b. State the laws of static friction.

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A
H- 1 m 1 m 1 m ?6+4? 1 in
4.5 m
(04 Marks)
(06 Marks)

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(06 Marks)
(04 Marks)
1 of 3
ti
1 54CIV

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C.
Four coplanar forces acting at a point are as shown in Fig.Q.3(c). One of the forces is
unknown and its magnitude is as shown by F. The resultant is 500N and is along x-axis.
Determine the force 'F' and its inclination 0 with x-axis. (06 Marks)
y-aX:5

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200 N
5
x-axis
20'
Fl 500 N

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500 N
200 N
F12.Q.3(e)
OR
4 a. State and prove Lami's theorem. (04 Marks)

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b. Determine the reactions at the point of contact for the sphere shown in Fig.Q.4(b). (04 Marks)
10 k-f-
1

Fig.Q.4(b)

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c. Determine the force P required to cause motion of blocks to impend. Take the weight of A
as 90N and weight of B as 45N. Take the coefficient of friction for all contact surfaces as
0.25. Consider the pulleys as frictionless (Fig.Q.4(c)). (08 Marks)
Fig.Q.4(c)
Module-3

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5 a. State and prove Varignon's theorem. (06 Marks)
b. Find the reactions for the beam supported and loaded as shown in Fig.Q.5(b). (10 Marks)
25 kN 10 kNfm
30 kN
45 25 kN-rn

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B
rn 4? 1 m 1 rn 1 -n
Fig.Q.5(b)
1.5 m
0

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2 of 3
LIE3RARY
CHIKOD1
15CIV13/23
OR

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a. Explain different type of supports with sketches and reactions. (06 Marks)
b. Determine the resultant of the four forces acting on a frame as shown in Fig.Q6(b) with
respect to point `CY. (10 Marks)
?ow 0_5 rnwi? -
rn _b 4

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3 of
Fig.Q.6(b)
200 N
3m
500 N

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*400 N
300 N
Module-4
7 a. Derive an expression for the centroid of semicircle with respect to base.
b. Compute the Radii of gyration about its centroidal axes Fig.Q.7(b).

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(06 Marks)
(10 Marks)
OR
8 a. Derive an expression for the moment of inertia of a quadrant about its centroidal axes.
(08 Marks)

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b. Determine the position of centroid with respect to 'Cr shown in Fig.Q.8(b). (08 Marks)
Fig.Q.8(b)
Pd
---
20 MM

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Module-5
9 a. What is 'Pojectile? Define the following term briefly: i) Angle of projection ii) Horizontal
range iii) Vertical height ? and iv) Time of flight. (08 Marks)
b. A stone is thrown vertically upward from the top of tower 20m high with a velocity of
I 5m/s. Find: i) The highest elevation reached by the store ii) The time required for the

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stone to cross the top of tower during its downward motion and corresponding velocity.
(08 Marks)
OR
10 a. What is super elevation? What is its purpose? (04 Marks)
b. The particle moves along.4

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.
curve of characteristic x = 0.65y
2
. Its value of motion is x --- 4r
2

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at the instant when t --- 3s. Determine: i) The displacement of particle from origin ii) The
velocity of particle .iii) The acceleration of particle. (06 Marks)
C. The acceleration of a particle is defined by a = -3m/s
2
if V = 9m/s and V = 9m/s and

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x = 0 when t ?0. Determine: i) Velocity ii) Distance travelled at t = 9s. (06 Marks)
* * * * * c..
3 of 3
4. ,;
Date: 14/01/2020 Timing: 9.30 a.m. to 12 10 p.m.

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A
(r;\

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4, i-ri
Cilo
co
'
bi 4

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,
A. ()
Er,qq.
First/Second Semester B.E. Degree Examination, iff
-

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19/Jan.2020
Elements of Civil Engineering and Mechanics
Q.7(b) Compute the Radii of gyration about its centroidal axes Fig.Q.7(h).
X
(10 Marks)

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USN
'5C1V13/23
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