1. d'd a'dr
3,
I
1OMAT31
USN
Third Semester B.E. Degree Examination, Dec.2013lJan.2ol4
Engineering Mathematics
Time: 3 hrs.
- lll
Max. Marks:100
Note: Answer FIVEfull questions, selecting
at least TWO questions from euch port.
PART _ A
1 a, Find the Fourier series
o
o
o
/!
@
-l
b.
o
hence deduce that
I
--
(06 Marks)
h.n.. showthar n'
L
c.
-y>
0
flx)
ra'
=r{}***}. )tr- 3'
0<x<
1
(07 Marks)
}
)
Compute the cohstant term and first two harmonics of the
x
=
-*l
goo
.= c
f(x) = (x - 1)' in the interval
Obtain the half-range cosine series for the function,
und
C)
6e
f1x;=lxl in t-n.n).
8 ?)12n-l)r'
!
g
()X
expansion of the function
1.0
;J
2n.....
TE
J
t.9
;J
t.7
t.2
.{o
./
/^<t
2n
1.5
;J
t.4
5n
1.0
4n
....,.11,
,/.,J f
1s1
!q);
izl
.1
ihO
yo
otr
FO
o2
2 a.
b.
Obtain the Fourier cosine transform
Find the Fourier transform of
f(x) = i
[ 0
a=
oo)
ootr
c6(€
>6
L=
'od
5c,
5 -!l
o-X
c.
3a.
Find the inverse Fourier sinc tiansform of
b.
.
0
(07 Marks)
(07 Marks)
(i)
) ^)
_ , d-u d-u
C--;-ox- ol'=-.0<x</under
u(0,
t) :
u(1,
0:
(ii)
0
u(x. 0)
:
o.
(ur) _(x.0) = 0.
llox
,
tr>
=o
5r
Obtain the D'Almbert's solution of the wave equation un
u(x. 0)
4 a.
:
1-
f1x) ura
the following
where u6
is
constant
(07 Marks)
ot
c.
=0
^
Solve the one-dimensional wave equation,
o-U
o
l--------:-------dx
J
x'
*u,
conditionS
5.e
o
'7
>l
Obtain the various possible solutions of two dimensional Laplace's equation, u*,
.
c.i
forlxl
ixcosx-sinx,
and evaluate
#,
'i,
!o
J
|
by the method of separalion oIvariables.
a-d(E
o<
|
(06 Marks)
(07 Marks)
oj
boo
tb0
of f1x; = --! ,
l+ x[t-*t forlxl<l
-
$f
- C'u,*
*.0):0.
subject to the conditions
(06 Marks)
Find the best values of a, b, c, if the equation
fo llo wing observations.
x
2
v t0 t2
Solve the following by graphical method
y=a+bx+cx2
is
to fit most closely to the
(07 Marks)
a
-)
4
5
13
16
19
to maximize z = 50x + 60y subject to the
constraints, 2x+3y<1500, 3x+2y<1500, 0(x<400 and 0<y<400.
(06Marks)
By using Simplex method, maximize P=4xr -Zxr-x ' subject to the constraints,
xr +x2 *X: (3,2xr+2x, *X: ( 4, xr-xz (0, Xr )0 and xz )0.
(g7Marks)

2. 5a,
b.
1OMAT31
PART _ B
Using Newton-Raphson method, find areal root of xsinx+cosx
=0 nearer to n, carryout
three iterations upto 4-decimals places.
(07 Marks)
Find the largest eigen value and the corresponding eigen vector of the matrix,
lz -r ol
l-, 2 -11
Io -r ,)
By using the power method by taking the initial vector as [t
t t]'
carryout 5-teratrons.
Marks)
, $f
Solve the following system of equations by Relaxation method:
lZx+y+z=31 ;
6 a.
b.
c.
2x+8y
localtv
A survov conclucted in a slum localit
onducted m
(06 Marks)
revea ls the followins informatilon as classlified below,
I
Evaluate
l.U,Ojt+x
by using Simpson's
of log; Z"'.
r)
Solve the wave equation,
u(x, 0)
b.
3x+4y+102=58
IncorneDer dav in RuDees 'x' Under 10 t0 -20 20-30 30-40 40-50
Numbers'of persons'y'
20
45
11s
214
t 1s
m
Estimate tne pr0baDle numDer oI
.tr,Stlmate the probable number of persons in the income group zIJ b 25.
mcome
(07 Marks)
2A tfr'25.
Determine (ii as a polynomials in x for the data given below by using the Newton's divided
difference formula.
diflerence formula.
(07 Marks)
,,.,.6
x
2
4
8
l0
5
f(x) 10 96 196 350 868 1746
deduce an approximate value
7a.
-z=24;
:
x(4
h: 1, K:
Solve numerically the equalior,
t>0
and
equal strips and hence
(06 Marks)
""
;)
+:a$$,:subject
dt- dx'
x) by taking
-
(1). rule by taking 6 to u(0, t)
:
0, u(4, t)
:
0, u1(x, 0)
0.5 upto 4-steps.
$ =*
OI dx'
rrrUl..i to
u(x,0): sinnx, 0< x <1, carryout
tt.
:
0 and
(07 Marks)
conditions, u(0,
t)
: 0:
u(1, t),
the computation fortwo levels taking
h=1
J
andK-
1
36
Solve,B* *u,,
(07 Marks)
,,,
c.
=0 in the following square region with
the boundary conditions as
indicated in the Fig. Q7 (c).
5oo I oo 1oo
tt1
lll
(06 Marks)
50
u1
Fig. Q7 (c)
["
"n
0000
8a.
b.
(ii) coshnO
n0
'>z: +32
o'
Find the inverse z-transform of.
c.
Solve the difference equation, yn*z
Find the z-transform
ol (i)
sinh
'
(z +2)@- a)
*
6yn*,
with yo = Yr = 0 by using z-transform.
>k****
(ur) n-
(07 Marks)
(06 Marks)
* 9yn =2"
(07 Marks)

3. MATDTP3Ol
USN
Third Semester B.E. Degree Examination, Dec.2013lJan.20l4
Advanced Mathematics
-I
Time: 3 hrs.
Max. Marks:100
Note: Answer any
111#+9
d
Express the complex number
o
_. .the modulus and amplirude of
Find
C)
!
I
69
-o
bol
troa
d$
:oo
Y
()C
-c 6)
o>
?a
C.)
a=
CBd
>6
E(!
-a
Oj5
o6.
(06 Marks)
_Ji),
G
'1'r.
(3
c.
i
3 a.
(06 Marks)
(07 Marks)
(07 Marks)
-
Using Taylor's theorem. expreis the polynomial 2xr +7x2 + x
- 6 in powers of (x -
b.
c.
ll Z =*, + y, - 3axy then prove *at
ffi=
44.
k
(07 Marks)
,,t""""".'
-du "''
If u:xlogxy where *t+yt+3xy=t. find #.
dx
b. rf z:(x,
).
^)
'
,',.]',,
1
(06 Marks)
(07 Marks)
Using Maclaurin's series. expand tan x upto the term containing x).
)
'
(07 Marks)
_ r,',
' t *,,-?12 Il.
l) (j 1{2x + 3).]
Findthenthderivativeof I
Is(x -
'l'.,.
(07 Marks)
2 a. Find the nth derivative of sin(ax + b).
b. Ify: (sin-r x)2" showthat (l-x')y,,2 -(2n+l)xy,-, -n'y, =0.
o()
o0tr
in the form x + iy.
Expand eoss e in a series of cosines multiples of 0.
C)
Eq
FIVEfull
questions,
'
(06 Marks)
y) and x = sb +e-' andy = e-u -eu, prove
ri;;*-+
Au
=
-ry
*^ " *-y*.(07
Marks)
D(u'
)
r
c. If u:x+3y2 -23, y=4x2yz, w= 222 -xy,findthevalueof -# v' w) at(1,-1,0).
A(x.Y'z)
()j
(07 Marks)
..
o=
A,i
5 a' O[tai the reduction rormura for lsin' x dx
:eduction formula ror
dx
Jsin,
.
J
5.v
>'k
b Evaruatei+
=o
o-
c. Evaluate ii,*+ev)dydx
LO
botrbo
a'=
o- :''i
-i 6i
o
o
Z
o
13
,ru
,#*%
,,f
5}}:li)E}
@^_.r'
* aAeAR
W'
*r,u,
(oTMarks)
ot
,ozrvrarrsy
"ri
llt
6 a. Evaluate JJJe..'.'Oxdydz
(06 Marks)
000
b.
Find the varue
c.
Prove that B(m.nl
"r
l[,
=@.
l(m + n)
(07 Marks)
(07 Marks)

4. MATDIP3Ol
9-""-"
7a.
Solve
b.
Solve
-y'
=*' xy
dx
-,,.:..-!i
Solve
9-+x+l = e'*(x +l).
dx
j
dx
d!
+x2.e-zr
(06 Marks)
.
which is homogeneous in x and y.
(07 Marks)
.,*fl[]:''it
(07-{arks)
,:1,_.,
,-,,..nr*q*
*.S9
8a.
* 6y = e^ .
So.re
dx
s.l ,+dx'
.1o'"""" (06 Marks)
-JY "x,'
b.
Solve
*-:9* dx
dx'
c.
Solve
Ww
1D2'!gff;- xsin 3x + cos x.
2y=snlx.
(07 Marks)
{*=%
,*
::i:
r
(07 Marks)
sfl
!
'::, '
=:
,ffi'
*dF.
..::................!
-:r#h
l
-,-
..4:,...:::
=-'
*d'p
:,:::::
',
,,
,
1*d
s
' .qffi
:
.,,.,,....=
4.r% .'
llt 'u
'.,a'
,::::'
I
tv|
-,,,:::::...:.,,,::,
.:::
.:::
::, i
_/iti
'4'
2
of2

5. 10cv32
USN
Third Semester B.E. Degree Examination, Dec.2013 /Jan.20l4
Building Materials and Gonstruction Technology
Time: 3 hrs.
Max. Marks:100
Note: Answer FIVEfull questions, selecting
at least TWO questions from each part.
(J
()
o
(d
o
=
{)
L
B9
(6e
-l
oo'
E*
.= c.l
(g+
o:lJ
otr
ta)
o2
-A
I a. Explain the essential requirements of a good foundation.
(05 Marks)
b. What is safe bearing capacity of a soil? Briefly explain various methods adopted to improve
it.
(07 Marks)
c. Draw neat,, labelled sketches of the following types of foundations and explain where they
are adopted (i) Raft foundation, (ii) Strap footing.
(08 Marks)
2 a. Explain uny *o of the following:
i) Reinforced brick work
ii) Partition walls , 'iii) Cavity walls
(08 Marks)
b. List any four commonly used building stones and state their suitabil2l€pq5gc,):l;-_,.-,
or Tc;> (o'l Marks)
PART
c. Draw near skerches of the following and explain'
i) Ashlar mason-ry ii) Ruible ,nuro*y
3 a.
b.
a:
oo)
50c
cB (6
,6
Ed
c.
4 a.
b.
c.
tro.
o'!
oj
o=
alE
!o
5 .!i
>, tx
ooe
co!
o=
*o
tr>
(J-
L-l<
o
o
z
(g
P
o
a
,/f/-o*qsnu;1os
i ,4 I Gta'" . ,. *{ l:j
r{ uteae*" },;
5 a.
b.
Marks)
Explain the following terms with respect to an arch:
,,!
key stone, ,pu.,,
05 Marks)
Define lintel and chajja. Draw a neat labelled diagram of a reinNffit&€Hntel with
'':chajja projection showing the position of reinforcement.
(07 Marks)
Give the classification of arches and explain stability of an arch.
(08 Marks)
i,i;;;;,'""H:-";;#;.'
K
Discuss the advantag.t of a::flut roof. Briefly expiain its advantages.
(08 Marks)
List the types of pitched roofs.
(04 Marks)
Discuss the various flooring material used briefly. Explain any two of them in detail.
'
"",,i"'
(08 Marks)
,,
oi=
o- 5.
"&
Z6*fXlC
PART - B
Write short rrotes on the following:
i) Collapsible steel door
ii) Bay window
(08 Marks)
,:,
Explain the factors to be considered while locating the position of doors and windows in a
building.
c. lilhat are the salient features of a framed panelled door? Explain.
6 u' Draw the plans of the following types of stairs. Briefly explain them.
, . I Dog-legged stairs
ii) Open newel stairs
b. Draw the section of a typical
(06 Marks)
(06 Marks)
stair and level all the parts? Explain each part.
(10 Marks)
(10 Marks)
7 a.
b.
c.
Explain various defects in plastering.
List the various constituents of a good paint. Discuss each constituent of
Explain the process of distempering.
8 a.
b.
c.
Explain the terms: i) Shoring, ii) Slip forming, iii) Guiniting
Discuss the causes and effects of dampness in a building.
List the important properties and uses of the following building materials:
(06 Marks)
(08 Marks)
i)
(06 Marks)
Aluminum
ii)
Plastic
iii)
Varnish
paint.
(06 Marks)
(08 Marks)
(06 Marks)

6. l0cv33/10EV33
USN
Third Semester B.E. Degree Examinationo Dec. 20l3lJan.2014
Strength of Materials
Time: 3 hrs.
Max. Marks:100
Note: Answer FIVEfull questions, selecting
atteast rwo r"::;::m
each part'
d
o
o
L
o
(.)
tQa
a.
b.
c.
50(g=
-.o
ool
ao
E:
gc)
ol:
FO
2a.
b.
o=
c.
aX
oO
a0i
Define'Bulk
modulus".
(03 Marks)
Derive an expression for the deformation of a member due to self weight.
(05 Marks)
A member is of total length 2 m its diameter is 40 mm for the first 1 m length. In the next
0.5 m length, it's diameter gradually reduces from 40 mm to 'd' mm. For the remaining
length of the member, the diameter remains 'd' mm uniform. When this member is subjected
to axial tensile tbrce of 150 kN. the total elongation observed is 2.39 mm. Determine the
diameter 'd'. Assume :
E: 2 x 105 N/rnm2.
(12 Marks)
Define' Composite rr"*..
(03 Marks)
What are 'Ternperature stresses'?
(03 Marks)
A bar of brass 25 mm diameter is enclosed in a steel tube of 25 mm internal diameter and
50 mm external diameter. The bar and the tube are rigidly connected at both the ends. Find
the stresses in the two materials, if the temperature of the system j
m 15oC to
oC,
95'C. Assume Es:2 x 105 MPa, u5:1'1"6 x 10-6/
MPa and
crt,:
18.7
x
10-6/ oc.
fo marhsl
I
3(J
'Ea
OE
o- :i
o."
o
-=
3a.
b.
-.t
9J ;E
3o
4ti
c.
=9
5 .:i
> (ts
ooo
soo
o=
What are 'principal stresses"?
An element is subjected to a tensile stress of 100 N/mm2. And
50 N/mm2 is applied perpendicular to the direction of tensile stress.
Marks)
stress of
Coirffifrrfohr's circle.
(05 Marks)
At a point in an elastic material, the stresses on two perpendicular planes are 80 N/mm2
(tensile) and 60 N/mm2 (compressive). There is also a shear stress of 40 N/mm2. Find the
normal stress and shear stress on a plane making an angle of 30' with the plane on which the
tensile stress acts. Also, find the values of principal stresses and the location of principal
planes (adopt analyical method).
(t2 Marks)
*o
F>
o
ur<
,;
:-
4 a. A simply supported beam AB of span 'l'
(.)
o
z
o
E
b.
is subjected to an eccentric point load W at a
distance of 'a' &om left support and 'b' from right support. Develop the general expressions
for shear force and bending moment. Draw BMD and SFD.
(08 Marks)
:4 m. The length of
An overhanging beam is of total length 5 m. The supported length AB
overhang BC : 1 m. There is a UDL of 20 kN/m starting from A upto a length of 2 m. There
is a point load of 40 kN at 2m from A. Another point load of 20 kN is acting at the llee end
of overhanging portion. Draw SFD and BMD. Find the values of maximum SF and BM.
Also, locate the point of contraflexure.
(12 Marks)

7. 10cv33/108V33
PART _ B
54.
b.
Derive the general bending equation
Y = I = E *ith
IvR
b.
7a.
b.
c.
a.
b.
c.
(10 Marks)
A T section is having a flange of 200 mm x 50 mm. The web is also 200 mm x 50 mm. It is
subjected to a bending moment of 15 kN. m. Draw the bending stress distribution across the
section, indicating the salient values.
6 a.
usual notations.
(10 Marks)
A simply supported beam is of span 'l'. It is subjected to UDL of intensity w/unit length
over it's entire length. Derive an expression for maximum deflection assuming flexural
rigidity as EI.
(08 Marks)
A beam of uniform section is 10 m long. it is simply supported at it's ends. It carries loads of
100 kN and 80 kN at distances of 2 m and 6 m respectively from the left end. Calculate
deflection under each load. Assume E : 200 GPa and I = 18 x 108 mma
(12 Marks)
List the assumptions made in the theory of torsion.
(05 Marks)
Define'Torsional rigidity'.
(03 Marks)
Determine the diameter of a solid ciicular shaft which will transmit 400 kilowatts at 300
rpm. The maximum shear stress should hot exceed 32 N/mm2. The twist should not be more
than lo in a length of 2 m. Assume modulus of rigidity as 90 kN/mm2
(12 Marks)
Define 'slenderness ratio' of a column.
(03 Marks)
Distinguish short column and Iong column.
(03 Marks)
The cross section of a column is a hollow rectangular section with it's external dimensions
200 mm x 150 mm. The internal dimensions are 150 nrn x 100 mm. The column is 5 m
long and fixed at both the ends. If E : 120 GPa, calculate the,critical load using Euler's
formula. Compare the above load with the value obtained from Rankine's formula. The
permissible compressive stress is 500 N/mm2. The Rankine's constant is 1/6000. (14 Marks)
*****
2 of?

8. 10cv/EV34
USN
Third Semester B.E. Degree Examination, Dec. ZDl3/Jan.2014
Surveying
-I
Time: 3 hrs.
Max. Marks:100
Note: 1. Answer FIVEfull questions, selecting
atleast Tl,yO questions from each part.
2. Missing data, if any, may be suitably assumed.
dJ
o
o
o.
PART _ A
E
a.
4)
=
(.)
I
Qa
50c=
s- 2
ciu
b.
j
ii)
eol
aoo
.= ol
-5n
Yo
ol
=()
2a.
b.
o=
a:
o()
c.
50tr
Er
k=
'Ea
OE
i9
o."
oj
3a.
6:
:o
5.:
>1 (ts
^^o
c oll
o=
so
F>
Xo
YL
Explain the following with neat sketches
i) Geodetic surveying
ii) Working &om the whole to the part
iii) Numbering of Topo maps of India.
Di I lerentiate between :
i) Precision and acCuracy
b.
C.
:
(I2 Marks)
cEHfffi,&il
Plan and map.
LIBfr&g{Y
(0S Marks)
Give brief description und ;;;, of the following :
i) Steel band ii) Line ranger iii) EDM d&ices.
(06 Marks)
The distance between two points, measured along a slope is a28 m. Find the horizontal
distance between them if i) the angle of slope between the pints is 8" ii) The difference in
level is 52 m iii) the slope is I in 4 and also iv) the hypotenusal allowance per chain of 20 m
length for a slope angle of 10o.
(05 Marks)
A steel tape of nominal length 30 m was suspended between supports to measure the length
of a line the measured length of the line on a slope angle of the 2 50' is 29.859 m. The mean
temperature during the measurement was 12oC and' the pull applied was 100 N. If the
standard length of the tape is 30.005 m @20"C and the standard pull is 45 N, calculate the
corrected horizontal length. Take weight of the'tape= 0.15N/m, its cross sectional
area:2.50mm2, u:1.15 x 10-s per oC and E:2 x 10sN/mm2:
(09 Marks)
Explain the principle of chain surveying. Why a well conditioned triangle is preferred?
Examine whether a triangle having sides 80 m, 60 m and 40 m is well conditioned or not.
,ilJfff,i
An offset is measured with an accuracy of 1 in 30 and the error in laying out the
4o. If the scale of plotting is 1 cm: 20 m, find the limiting length of the offset. (04 Marks)
A and B are two points 200 m apart on right bank of a river following east to west. A tree on
the left bank is observed from A and B and the bearings of the tree are 20' and 330'
respectively, as measured clockwise with respect to the north. Find the width of river.
(06 Marks)
U<
:^
,,
4a.
b.
(-)
Differentiate between i) true meridian and magnetic meridian ii) Dip and declination
iii) Isogonic and agonic lines.
(06 Marks)
What is traversing? Explain the significance of open and closed traverse in compass
c.
The following bearings were observed for a closed traverse ABCDEA. Calculate the
o
'7
o
0.
E
surveying.
(04 Marks)
incl14!gl44gtes.
es.
LINE
BEARINGS
AB
140'30',
BC
800 30'
CD
3400 0'
DE
290" 30',
(lo Marks)
(t0 Ma
EA
2300 30'

9. lOCV/EV34
5 a.
b.
PART _ B
Explain the terms and their significance :
i) Local attraction
ii) Independent and dependent co-ordinates
iii) Bowditch and transit rules.
(10 Marks)
The following bearings were observed in a compass traverse. Determine the stations affected
by local attraction apply correction and find the corrected bearings.
(10 Marks)
LINE
F.B
B.B
6a.
b.
c.
AB
s 450 30'E
N 45" 30', W
BC
DA
N 54'30',W
s 51'40',E
CD
s 60'00'E
N 60'40',E
N 5" 30',E
s 3'20' w
Illustrate with neat sketches : i) Profile leveling ii) Differential leveling iii) reciprocal
leveling iv) Block leveling.
(08 Marks)
An obserVer standing on the deck of a shop, just sees the top of the light house which is 40
m above the sea level if the height of the obseryer's
ir 8 m above the sea level,
"y.
determine of the observer from the light house.
(04 Marks)
The following obsezuations were taken in reciprocal leveling
A
Staffreadinss @.
A
B
t.62s
2.545
B
4.725
Instrument @
1.405
Determine the R - L of B, if that of A is 100.800 m. Also calculate the angular error in
collimation if the distance between A and B is 1000 m.
108 Marks)
ta.
b.
c.
Discuss the merits and demerits of using height of instrument and rise and fall methods.
(04 Marks)
Define contour. Sketch sgntours to represent the following : i) uniform slope ii) Valley
iii) Ridge iv) Vertical eliffv) Overhanging cliff.
(06 Marks)
Find out the missing figures and complete the level book page. Apply usual arithmetic
check.
Sl. No.
B.S
I.S
F.S
H.I
R.L
'Remarks
I
x
2
-)
3.910
6.520
x
x
Point
-
1
192.00
X
4.390
Point
-
2
x
Point
-
3
4
4
5.390
19t.620
B. M.
5
4.730
x
Point
6
x
-
203.300
Point
-5 Staffinverted
X
X
Point
2.990
194.830
7
8
4.330
Point -
6
7
(10 Marks)
8a.
b.
Discuss the advantages and disadvantages of plane tabling.
Explain with neat sketches :
i) Intersection method
ii) Radiation
iii) Strength of fix.
f{<*8{<
(08 Marks)
(12 Marks)

10. 10cv35
USN
Third Semester B.E. Degree Examination, Dec.2013 lJan.2Dl4
Fluid Mechanics
Time: 3 hrs.
Max. Marks:10CI
Note:1. Answer FIVEfull questions, selecting
at least TWO questions from euch part.
2. Assume missing data suitably.
d
o
,,
()
PART _ A
, ',
(06 Marks)
Define fluid. Distinguish between liquids and gasses.
Explainthe phenomenon of surface tension. Derive an expressior 16l pqessure inside a liquid
::::::.:::::::::.
o.
la.
b.
o
o
!
Qa
-*t
troo
cd+
noo
Y()
(Jtr
droplet. ,,,,,
c.
2a.
b.
-O
c.
3*
(06 Marks)
A cylinder of,120 mm diameter rotates concentrically
inside .a fixed cylinder of diameter
125 mm. Both the cylinders are 300 mm long. Find the viffi$ity of the liquid that fills the
space between the:cylinders if a torque of 0.90 Nm required muintuining speed of 60 rpm.
(08 Marks)
State and prove
hydrostatic.,law.
(06 Marks)
What is manometer? Disiinguish between U, tube differential manometer and inverted
(06 Marks)
U-tube diflerential manometer.
Find the manometer reading h for the Fig. Q2 (c) shown below,
-2' LV 4t't*fr)
(08 Marks)
2 illlfr,
o=
o()
Flra
*-
o'o
ootr
js"
,
a6
i_
-3o
oi=
o.
'NATER
6-
IvleUcr.rX (S =
o."
oj
o=
:.9
Y,
ooo
EcO
o- ;j
tr>
=o
o-
,.
Fig. Q2 (c)
6E
cE
!o
lS,l)
a.
b.
c.
lr<
-; 6i
Derive the expressions for total pressure and centre of pressure on a vertical plate submerged
(06 Marks)
in a static liquid.
Explain the procedure of finding hydrostatic force on a curved surface.
ioo lvtart<s)
A circular plate 2.5 m diameter is immersed in water, its greatest and least depth bolow the
free surface being 3 m and 1 m respectively. Find
-'::',;,,
i) the total pressure on one face of the plate and
(08 Marks)
ii) the position of centre of pressure.
()
o
z
4 a.
b.
Distinguish between :
iii)
Steady and unsteady
Compressible and incompressible flow.
flow ii)
Uniform and non-uniform flow
(06 Marks)
Deflne the terms velocity potential function, stream function and establish the relation
between
c.
i)
them.
A stream function is given by V = 2x2 -2y2 . Determine the velocity
function at (1,2).
(06 Marks)
and velocity potential
(08 Marks)

11. 10cv3s
5a.
-l
r..,,,
;;,,,,.:,',.
.;.;.;
PART _ B
Name the different forces present in a fluid flow. What are the forces considered for the
Euler's equation of motion?
(04 Marks)
b. State and prove Bernoulli's theorem.
(08 Marks)
c. The diameters at the ends of a 16 m long vertical conical pipe conveying water are 0.5 nI
and 1.5 m. The loss of head between the ends is 2.65 m in either directions when the
velocity at the smaller section is 9 m/s. If the smaller section is at the top and pressure head
at this section is 2.15 m of water, find the pressure head at the lower end when the flow is,
(08 Marks)
, i) Downward and ii) Upward.
6 a. Ex,eh:_:the phenomenon of water hammer. List the four factors affecting water nuffiii;.u.,
b.
c.
7a.
b.
c.
flow.
DeriVei-aff,pxpression for head loss due to sudden enlargement in a pipe
(06 Marks)
A pipe of 200 mm diameter and length 2000 m connects two reservoirs. having difference of
water level,ai::2O m. Determine the discharge through the pipe. tf an additional pipe of
diameter 200 mm and length 1200 m is attached to the last.12S0 m of the existing pipe, find
the increase in diSQhS{Be. Take f :0.015 and neglect minor }osses.
(08 Marks)
With the help of a neat iketch, explain working of a current meter.
(06 Marks)
Briefly explain. i) staff gauge ii) weight gauge and iii) float gauge
(06 Marks)
A pitot tube inserted in a pipe of"300 mm diameter. The static pressure in pipe is 100 mm of
mercury (vaccum). The stagnafiort pessure at the centre of the pipe, recorded by pitot tube
is 9.81 kPa. Calculate the rate of flow of water through pipe. Take mean velocity as 0.85
times central velocity and Cy: O
(08 Marks)
3,l;
8a.
b.
c.
,,
With the help of neat sketches, diblain i) Cipolletti notch and ii) Ogee weir. (06 Marks)
Derive an expression for discharge through a triangular notch.
(06 Marks)
A rectangular notch of crest width 400 mm is used to measure flow of water in a rectangular
channel 600 mm wide and 450 mm deep. If the water level in the channel is 225 mm above
the weir crest, find the discharge in the channel. For the notch assume Ca : 0.63 and take
velocity of appro..Actrl'ihto account.
(08 Marks)
..-',,,,,::,"
lq:,
,',
.1,...,..
"
**r<*{<

12. 10cv36
USN
Third Semester B.E. Degree Examination, Dec.2013 lJan.2014
Applied Engineering Geology
...
Max. Marks:100
T'ime:3 hrs.
Note: l. Answer FIVEfull questions, selecting
at lesst Tl,l/O questions from each part.
2. Assume missing data if any suitably.
(.)
(.)
o
L
a
PART _ A
Explainthe role of geology in the field of civil engineering.
la.
(.)
b.
=
(.)
!
.=h
c.
2a.
-l
b.
3oo
c.
tso
oEl
-c0)
3a.
b.
c.
o>
q(.) g
.."....
(08 Marks)
With
a ne*,,iketch, explain the different parts of internal constituents 6f the Earth. (08 Marks)
Describe 1l$,,p'hvsical properties, chemical composition, engineerihg uses and group of the
minerals: i) pyrrteil ii) Biotite MICA.
(04 Marks)
Explain the structures ,present in sedimentary rocks with qeat sketches.
With neat sketches explain briefly different forms of igneous bodies.
Write the characters of good building stones.
(10 Marks)
(06 Marks)
(04 Marks)
Define weathering. Explain diiferent types, add a note on engineering importance. (10 Marks)
Briefly write a note on geological wOrk of river.
(06 Marks)
Describe the various methods of consetyation of soil erosion.
(0zt Marks)
a=
o()
4
a.
boi
c0(s
b.
c.
d.
>6
E6
'Ea
Oj=
a-A
Write notes on the following:
Earthquake resistant structures
Causes and prevention of land slides
Coastal landforms
Tsunami and its effects
.
5a.
:,
::
t',;
ill
fAI(l
PART _ B
- f'
(05 Marks)
(05 Marks)
(05 Marks)
(05 Marks)
}
What is fauh? How do you identify the faults in the field and
i
I'ra.note on its engineering
importaale,
o=
b.
6LE
c.
to
(10 Marks)
Explain tfie importance of folds in civil engineering structures.
Add a note on various types of unconformities.
(04 Marks)
(06 Marks)
LO
-o .Y
>.:
c50
o=
0. ;;
tr>
:o
6a.b.
,,,,:
Explain with a neat sketch the tunneling through folded rocks.
(06 Marks)
Describe the various geological considerations required during the selection of a site for dam
construction.
(l4Marks)
v!
o
tr<
:{)
o
'7
ii
o
o.
7a.
b.
8a.
b.
c.
d.
How the electrical resistivity method is used in groundwater exploration?
Give an account of artificial recharge of groundwater by various methods.
(11 Marks}(09 Marks)
What is GIS? And name the different components of GIS.
What are the applications of a global positioning system (GPS)?
What is remote sensing? Write its applications in civil engineering.
Explain the impact of mining on groundwater regime.
(05 Marks)
,
(05 Marks)
(05 Marks)
(05 Marks)