4th Semester Civil Engineering Question Papers June/july 2018

1. USN
Fourth Semester B.E. Degree E,x.amination,
Engineering Mathematics
Time: 3 hrs.
Note: l. Answer ony FIVE full questiotri:, choosing onefull question from each module.
2. (Jse of statistical tables'is permitted.
Module-1
Use Taylor's series nrethocl to find yat><: Ll, considering terms upto third degree given
-dv1[41 -r =X*y ahdy(l):0. (o5Marks)
. dv v-xUsing Runge-Kutta method, find y(0.2) for the equation ii=
-;
"v(0)
: l. taking
. ' clx y+x
1r:Q]- ,, (05Marks)
dv)Civeri "J - X'-y, y(0) : I and the values y(0.1) : 0.905 16. y(0.2) : 0.82117,
dx
J J,
y(0.3) : 0.74918, evaluate y(0.4). using Adams-Bashforth method. (06 Nlarks)
b.
c.
,a,t
+ f,.*Cv
y(0.2): 1.2427
y'(0.2) : 1.4427
r;b. Prove {hat J ,z
(x) = .,/a sin x
Ynx
rigue's formula '
o;
k*' - l)' ] .c. Derive Rodrigue's formula P. ( x) = - .- -
I of2
()
C)
()
a
()
(.)
*-
? a't
-v, ?
dq,
oo ll
.E c
d<l
F oi.)
tl)
(JE
-7)
'r) .-
oid
'2. a
-<
L<
ooc(g(!
,(5
r<=
<rd
4o
bsc)-
^.x
()J
9EJ: ,J
atE
L6J
5 .:r
>.,*
boo
tr oL)
dr=
o-U
=>=6ro-
(-' <
; c.i
a
Z
F
a.
b.
c.
b.
c.
.oR,,
a. Using Euler's modified method. find y(0.1) given + = x -y',y(0) : I, taking h: 0.1.
ox
Solve + - xy; y( l) : 2, find the approximate solution at x :
dx
J ' j rr
method. ,
Solve +- x-y' rvith the following data y(0) : 0, y(0.2) :
dx
y(0.6) : 0.1762, compute y at x:0.8, using Milne's method.
OR
Given yo =l+y'i y(0) =-, l. Y'(0): l. compute y(0.4)
predictor-correctrll method.
June/July 2018
-lv
Max. Marks: 80
i 2. using Runge-Kutta
(05 Marks)
0.02, y(0.4) : 0.0795,
(06 NIarks)
(06 Marks)
for the follorving data, using Milne's
Module-2
a. Using Runge-Kutta method of order four, sclve yo =y+xy', y(0) : l, y'(0):0 to find
y(0.2). (05 Marks)
Express the polynomial 2x3 - x' -3x,r 2 in terms of Legendre polynomials. (05 Vlarks)
,l
If cr and B are two distinct roots o'i J"1x; : 0 then prove that
{*r"(crx)J,(Br)dx-0,
a.
y(0.1) : l.l l0:i
Y'(0.1)
: 1.21'03
y(0.3) : 1.399
y'(0.3) : 1.699. (05 Marks)
(05 NIarks)
(06 Marks)

2. Module-3.
Derir,eCauclry.Rienrannequationsinpolarfbrm.
Evaluate f ffidz where C is the circle izl:3,"---
I Q-t'(z-2
15MAT41
:
(05 Marks)
using Cauchy's residue theorem.
5a.
b.
6a.
b.
C.
7a.
b.
C.
sin 2x
lfu=
Find the bilinear transformation which maps 'z =' @, i, 0 on to w : 0, i, oo.
,,OR
State and prove Cauchy' s integral formula.
find thi corresponding analyic function f (z) - u * iv
(05 Marks)
(06 Marks)
(05 Marks)
(05 Marks)
(06 Marks)
(05 Marks)
of a given
3 (ii) more
(05 Marks)
cosh 2y +cos2x '
Discuss the transfbrmaticir, * : ,' .
,
Derivemeananditar,cliarddeviationiTlf, .-bi-n-rialdistribution.
If the probabiliti, 11,u, an individual will suffer a bad reaction fiom an injection
serum is 0.00:!, determine the probabilitythat out of 2000 individual (i) exactly
than 2 iradividuals will suffer a bad reaction.
Thejointpro!@tworandomvariablesXandYisasfollows:
Determine: i) Marginal distribution of X and Y
iii) Correlation of X and Y
ii) Covariance of X and Y
OR
Derive mean and standard deviation of exponential distribution.8a.
b.
c.
ln an examinationTo/o of students score less than 35% marks and 899ir of students score less
than 60oh marks. Find the mean and standard deviation if the marks are normally distributed.
Given P(0 < z < 1.2263): 0.39 and P(0 1z I 1.14757): 0.43,
The joint probability distribu random variables X and
Compute: i) E(X) and E(Y) ii) E(xY) lii; LloV(X, Y)
Mo.d.l[I.E5
iv) p(X, Y)
a. Explain the terms: i) Null hypothesis iit "i'ype
I and Type II errors.
b. The nine items of a sample have the valr.les 45, 47, 50, 52, 48, 47, 49,53. 5l-
of these differ significantly from the assumed mean of 47 .5?
(06 Marks)
(05 Marks)
(05 lVIarks)
Y is as follows:
(06 Marks)
(05 Marks)
Does the mean
(05 Marks)
rg I o
lrc. Giventhematri* A=l 0 0 I
lthenshowthatAisaregularstochasticmatrix.(06Marks)
l.% /, o)
'i oR
l0 a. A die was thi:ow,n 9000 times and of these 3220 yielded a 3 or 4,can the die be regarded as
unbiased
'n ' (05 Marks)
b. E,xplain: i)'fransient state ii) Absorbing state iii) Recurrent state (05 Marks)
c. A itudent's study habits are as fbtlows. lf he studies one night, he is70% sure not to study
the next night. 01 the other hand, if he does not study'one night, he is 60% sure not to study
the next ni[nt. In the long run" how often does he study? (06 Nrarks)
Y
x
a.J 1 4
I 0.1 0.2 0.2
3 0.3 0.1 0.1
Y--=-X- -4 2 7
I r/8 U4 r/8
5 U4 l/8 r/8
**2of2**

3. 41
t.
3l
1l
21.
3l
x-y
l-s 3 t4 +1
a. Find the rank of the matrix | 0 I 2 t I Uvreducing to echelon
[, -r 2 ,]
b. Use Cayley-Hamilton theorem to find the inverse of the -u,.,r []
12
c. Apply Gauss elimination method to solve the equations x + 4y - z
3x-y-z-4
a. Find atl the eigen values and eigen f.Tu corresponding to the
i-r o -1-l
lr 2 r l
l, z 3l
ai
()
o
!
o.
(!
E
a
t(l)
(g
o
EP
Q:=
t5
de
=n-"o ll
coo
.= c(€$
b9p
()C
€g
Eg
g9
9(.)
(go
o!boicd cd
rb>P') (!
ss)
!<tl
-br'Ee
a-
sli o_
tro.
6d()i
d)=
'(Ji, tE
EEl< c)
>r (ts
cbo
o=
:" .()
=d)(J
o{
-N
()
o
z
(3
o
o.
USN
Fourth
Additional Mathematics - l!
Time: 3 hrs. Max. Marks: 80
Note: Answer any FIVE full questions, choosing one full question from esch module.
Module-1
form. (06 Marks)
(05 Marks)
x+y-62--12;
(05 Marks)
largest eigen value of
(06 Marks)
l-r
b. Find the rank of the matrix by elementary row transformatiorr, | ,
I
L3
c. Solve the system of linear equations x+ y+z-6; 2x-3y+ 4z -8
elimination method.
Module-2
a. Solve * + 4y= tan 2x bythe method of variation of parameters.
dx'
J J
I
2
3
;
(05 Marks)
+22-5 byGauss
(05 Marks)
b. Solve
#+5*+6x-0,siven
x(0)=0,
f,tol-15.
c. Solve b' * 5D + 6)y : .. .
a. Solve by the method of undetermined .o?fi.i.nts (D2 *2D+5)y -25x2 +12.
b. Solve (o' * 3D + 2)y -sin 2x .
c' Solve (D' - 2D -1)y - e* cosx '
Modure-3
a. Find the Laplace transtbrms o[ (i) tcos2 t (ii) 1-e-'
t
b. Find the Laplace transforms of, (i) e-" (zcos5t -sin 5t)
c. Express the function, ,t,l = {tj
O < t <.4
in terms of unit
' f5, t>4
Laplace transform.
1 nf )
A
(ii) 3Jt +
T
(06 Marks)
(05 Marks)
(05 Marks)
(06 Marks)
(05 Marks)
(05 Marks)
(06 Marks)
(05 Marks)
step function and hence find its
(05 Marks)

4. OR
6 a. Find the Laplace transform of the periodic
lsMATDIP4l
by f(t) -Esinort, Q.t.1(D
(06 Marks)
(05 Marks)
(05 Marks)
(06 Marks)
(05 Marks)
(05 Marks)
x=Y=0
(06 Marks)
(05 Marks)
(05 Marks)
function defined
b.
c.
7a.
b.
having period 1
(D
Find the Laplace
Find the Laplace
transform of 2' + t sin t .
2 sin t sur 5t
transtorm of
-,
Module-4
method, solve y" - 6y'+ 9 = t2 e3t, y(0) - 2, y'(0) : 6 .
transforms o[ (i) s' - 3s + 4 (ii) +s' s'-4s+13
transformsof,(i) .rf+l (ii) ,+- s - 1/ --l (s - 2)'
OR
8 a. Solve the simultaneous equationr + + 5x -2y- t, + +2x* y = 0 being given
'dtdt-J
Using laplace transforms
Find the inverse Laplace
c. Find the inverse Laplace
when t : 0.
b' Find the inverse Laplace transforms of
c. Find the inverse Laplace transforms of
cot-(;)
2s2 -6s+5
9a.
b.
s'-6s'+1ls-6
Module-5
For any three arbitrary events A, B, C prove that ,
r(a u B u c): p(A) + p(B) + p(c) - p(A.,8)-p(B n c) -p(c n A) + p(A n B n c)
(04 Marks)
A class has l0 boys and 5 girls. Three students are selected at random, one after the other.
Find probability that, (i) first two are boys and third is girl (ii) first and third boys and
second is girl. (iii) first and third of same sex and the second is of opposite sex.
(06 Marks)
In a certain college 25% of boys and I0% of girls are studying mathematics. The girls
constitut e 600/o of the student body. (i) r,vhat is the probability that mathematics is being
studied ? (ii) If a student is selected at random and is found to be studying mathematics,
(06 Marks)
(04 Marks)
and C whose chances of solving it
the problem will be solved?
c.
10
find the probability that the student is a girl? (iii) a boy?
OR
a. State and prove Bayes theorem.
b. A problem in mathematics is given to three students A, B
11 r
are , _ and : respectively. What is the probability that
2'3 4 I
(06 Marks)
c. A pair of dice is tossed twice. Find the probability of scoring 7 points. (r) Once, (ii) at least
once (iii) twice. (06 Marks)
t{<{<*(r(
2 of 2

5. USN MATDIP4OI
Max. Marks: I 00
0 = cos-r (l l3). (06 Marks)
-l) and (3,2,2) and parallel to the
(07 Mar.ks)
3) and D(-13, 17, -l) are cuplanar.
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
- 4j+ (bxz' - y)[ is
(07 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
Fourth Semester B.E. Degree Exatnrirration, June/July 2018
Advanced Mathematics - ll
"'
tL
Note: Ansater u'ny FIW futt questions.
Time: 3 hrs.
2a.
b.
6a.
b.
a.
b.
Find the ratio in which tlie troint C, (9,8, -10) divides the line segment joining the points
A(5, 4, -6) and B(3, 2. -4). (06 Marks)
If cos cf,, cos P. cos y are the direction cosines of a straight line, prove that
(i) sin'cr+sin2B-r.sin'y -2 (ii) cos2cr+cos2B+cos2y --1 . (07Marks)
Find the constanr K such that the angle between the lines with direction ratios (-2, l, -l) and
( l, -K, I ) is 90". (07 Marks)
c.
b.
c.
5a.
b.
c.
()
.o
ll ir
ooE
o. o.
-v(!
=
t)
coE
Cc)
.r 6J
6g
()=
ah(J rr
-ll
I
8c
L
cl oi,
=.t)L- ii.
o$ +j
>a
5na,
=iO-a
c'c
'Q r.
CE(.)
=iE2>L(J
)-c
C(d
}r()
oo*
(J-
o-C
v (-.)
(J r-
lrb
a-
=o02,=
:E
EE
-Ei
6i
3 a. Findtheangle betweenthevectors d= 2i+6j+3k, 6= l2i-4j+3k. (06Marks)
b. Find the area of a parallelogram whose adjacent sides are i -2i+ -1k and 2i + -i- 4k .
(07 Marks)
(07 Marks)
4 a. Show that the four points whose position vectors ore 3i -2-i+4k,6i +3j+k, 5i +7j+3k
and 2i+2j+ 6k are coplanar (06 Marks)
A particle moves along the curve x: t3 + l. ), - t2, z:2t + 3 where t is the time. Find the
components of velocity and acceleration at t: i in the direction of i+ j + 3k. (07 Marks)
Find the directional derivative of f(x,!:;2,)=-:ay'*yr' atthe point (2,-1, l) in the direction
c. Find a unit vector perpendicular to both vectors d=2i-3j+ k . ij -7i -5j+ k.
of vector i + 2j + 2k.
..
Find div F and curl F where F ,-, grad(*' + yt + z' -3xyz) .
Show that F - x(y -zi * y(?.- x)j + z(x- y)k is solenoidal.
Find the constants a and:b' so that the vector F=(axy+rt;i+(3x2
irrotational. . ,,,
'.i ,
Find the Laplace transforms of l+2t'r -4e3'+5e-'
Find the i,aplaCe transform of t2 sin
2
t.
. , sin at.
Fin<i the Laplace transform of
t
Show tiiat'the angles between the diagonals of a cube is
Find the equation of the plane through the points (1, 0,
r!- x-l l-y z-2
itne =---_
123
Show that the points 4.(-6, 3, 2), B(3, -2, 4), C(5, 7,
Also find the equation of the plane containing them.
I of2

6. T-
a.
b.
c.
Find the inverse Laplace transfbrm o1
3t - a"
.
l6-s-
Find the inverse Laplace transform of "- ---'l--- .
, s'+-ls+9
t1l
Evaluate
-;--r{-p.
L(s+lXs+2)J
Obtain the Laplace trarisfo.rins of f'(t), f"(t).
Solve the differential eQuation using Laplace transforms
conditions y(0) : l. y'(0) : 0.
MATDIP4Ol
(06 Marks)
(07 Marks)
(07 Marks)
(08 Marks)
y' -3y' +2y - I - e2' under the
(12 Marks)
8a.
b.
**{<r<*
2 of 2

7. d
USN
Fourth Semester B.E.
Analysis of
Time: 3 hrs.
Degree Examination, June/July 20l g
Determ ingte Structures
O
C)
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tH
c.
F
an
9
(.)
I
4)
t<
.9
A at
(.)X
bI) _
a.-
,J>
-d9
ir6
_c
-..t1a
Eoo.r!
.=N
I
.r w
ir]
oc&ets
-'-
-ts-L
.aa
a:f
L ,,
e 'L)
r_ r_
d'.,
^
4,
,vU
P(
-
-v>p
/ cl
.cs
-t
.-
U
v)-
J ,r
o-X
^19
,o;
i ;d' L. .-
9E5<)
tv_
l< 0)
>,'+
ooo
<oo.-F
q_
=(lt-L 6)
=>=aJVL
()
-arH
-
(./ <
* O]
C)
I
g
ZI
tr
-t
d
b.
(iii)
Deter"rnine the forces in all the
joints and tabulate the results.
Fig.Ql (a)
members of a truss shown
s
(iv)
Fig.Q.l(b) by rnethod of
(08 lVlarks)
&
in the
3wl
s
3r]
4
4" 5nr**-{
Fig.Q I (b)
OR"
a' Differentiate between statically determinate and incleterminate structures. (06 Marks)
b' State the assumptions made in the analysis oftruss, (02 Nlarks)
c' A truss of span 9m is loaded as shown in Fig:.Q .2.(c). Find the forces in the members marked
1.2 and 3. ' " - / .r rrrr
(og Marks)
ffiffiM
Note: l. Answer ory) FIVEfull questiotts, clroosirtg onefull questionfrom eqch module.
2. Assume flny missing data, if any.
Module-l
I a' Determine the degree of stafic indeterminacy for the following structures [Fig.e.l(a)].
(09 N,Iarks)
lscY42
Max. Marks: 80
T-
I
I
*n
I
*L
k6
-q-
I of3

8. 3a.
b.
-rL
Fie.Q.s(b)
lscv42
Determine the slope at support, urd *ir*lrn deflection of a simply supported beam
subjected to UDL t'hroughouf tfr. span 'L'. Use ngybfe Lrteg.ration Method. (08 Marks)
A cantilever of length im carries a point load qf 20kN at the free end and another load of
20kN at its..r,r..iiE: lO'N/mmjand I: 108 rnm4for the cantilever, then determine by
moment-area method. the slope and deflection at the free end. Refer Fig.Q.3(b). (08 Marks)
4 a. ComPute the deflection
MacaulaY"s method.
Find the
shown in
i'r"hN
$tr3.
i*
sohN
s
l0 irN
ts
beam due tr: fle"](ure.
trame sRov/n ln
- Encrsv rttethod.
ehN
(08 Mafts|
(06 Marks)
Fig.Q.5(b). Take
(10 Marks)
',- - -** ltn
F ig.Q.3 (b)
OR
uncler concentrated load fbr the beam shown in Fig.Q.o,.lr?r#tfrj
so hr'{rr
&
st nr "*__.f -
Fig'Q'a(a)
b. A cantiiel,er beam AB of length 2m is carryTg a.point load 10kN at 'B'. The moment of
incrtia frorthe right half of thecantilever i, iotnrnd*here asthat forthe lefthalf is 2 x 108
*rnn lf E : z tr tos kN/m', find the slope and deflection at the free end of the cantilever,
Refer Fig.Q.a(b). Use Conjugate Beam Method'
c
3.rr1 **--?F*- ttn 4
Module-3
a. Derive the expression fbr the strain energy stored in a
b. Determine the vertical deflection al 'C' in the
E,:200 x 106 kN/m2 and I:3 x 107 mma' Use Strain
*"t
I
5rs)
I
I
I
f
OR
central deflection o{'a simply supported beam carrying
Fig.Q.6(a) b)' using Unit Load method'
IP
A*
l-:-#3- $ t/e --l
Fig.Q.6(a)
point load at mid sPan
(06 Marks)
Fie.Q.a(b)
6a.
2 of 3

9. b. The cross-section al area of the
method. find the strain energy
members is
stored due to
lP,40hH
7a.
Mqtlule-4
A three hinged parabolic arch hinge.d at the springing and crown points has a span of 40m
and central rise of 8m. It canies a UDL of 20kN/m over the left half of the span together
with a concentrated load cf l00kN at the right quarter span point. (Centre of right span).
Find the reactions at ttre suppoffs, normal thrust and radial shear at a section l0m from left
support. (08 Marks)
A cable of span 20rn:and dip 4rn carries a UDL of 20kN/m over the rvhole span. Find:
i) Maximum ie:nsiori'in the cable: ii) Minimum tension in the cable: iii) The length of the
cable. (08 Marks)
OR
g a. A three hilged parabolic arch of span 2Am and central rise of 5m carries a point load of
200kN at 6m from left hand support as shown in Fig.Q.8(a).
, i) 'Find the reaction at the supports A and B. . .t - - _ _,tt___ ^r :
:,,,
ii) Draw the bending moment diagram for the arch and indicate the position of maximttnr-
Fig.Q.8(a)
b A cable, supported on piers 80m apart at the same level, has a cetrtral dip of 8m. Calculate
the maximum tension in the cable. when it is subjected to UDL of 30kN/m throughout the
length. Also determine the vertical force on the piers, ifthe hack stay is inclined at 60' to the
vertical and cable passes over a pulley. (06 NIarks)
(06 Marks)
loaded as shown
(10 Marks)
1
I
3rr)
I
1
b.
i, Fie.e.g(b)
10 a. Draw the influence line ,Ciagram fbr shear force at a section for a simply supported beam
subjected to single p*int [oad. 06 Marks)
b. Draw the ILD for'iliiar force and bending moment for a section 5m frorn left end of a
simply supportecl.beam 20m long.. Hence calculate the maximum SF and maximum BM at
Module-5
a. Define a Influence line diagram. What are the uses of ILD?
b. Detemrine the reaction Rn b)'using tLD (influence line diagram) for beam
in Fig.Q.9(b).
the section d.ut: tb an UDL of length 8m and intensity l0kN/m.
,<r<r<{<*
F* 6rn-.-{i
3 of3
(10 Marks)

10. USN
Fourth Semester B.E. Degree Exatniruation, June/July 2018
Applied Hydraulics
Vlax. Marks: 80
o,J
C)
cJ
ti
a
()
uL<
?a
Co-
{rr
a, ll
-'oo.:a
.=N
d+
=obd1)
o=Ea
.a .^
u2
bv;lL
a(t c(-1 c3
24tr
3' et
d_3
J;
?.!
D2
atE
L4)
i=>' (F
coo
u6)
=
c.)
o
(/<
-i oi
0)
Z
F
la.
b.
2a.
b.
5a.
b.
Derive equation of a hyd.raul:ie jump in a horizontal rectangular channel. (10 lIarks)
A hl,draulic jump fortrrs" ai, the downstream end of a spillrvay carrying 17.93 nr'/s discharge.
If the depth befbre.iuinp is 0.8rn. determine the depth after jump and energy loss. (06 lllarks)
ffiM
Time: 3 hrs.
Module-1
What is meant by Dime.nsional uorQ-*.i- ive example.
The Frictional Tor<1tre (T ) of a Disc of diameter (D) rotating
viscosity (p) and dr:nsity (p) in a turbulent flow using
rt
r = D5N'p 0i
=]= I
' 'i D'Np ]
disclrarge ofthe channel. Take C:50.
OR
a. Explain with sketch the specific energy curve.
b. The discharge of water through a rectangular channel of u,idth 8m is
flow of rvater is 1.2m. Calculate:
i) Specific energy of florving rvater.
ii) Critical depth and critical velociti'.
iii) Value of minimum specific eneigy.
Note: Answer uny FIVE full questictus, choosing one full question from each module.
OR
Explsin three Rpes of similarities in model analysis. i - (06 tIarhs)
A,Sf,ip 300m long moves in a sea water. r,vhose densit,v is 1030 kg/m3, A I :100 rnodel o1'this
ship is to be tested in a wind tunnel. The velocity of air in the rvind tunnel around the nrt'rlci
is 30m/s and the resistance of the model is 60N. Determine the velocity'of ship in seei water
and also the resistance of the ship in sea water. The density of air is t.21kglmr. '['al'c the
kinematic viscosity of sea water and air as 0.012 stokes and 0.01 8 stokes respective!1,.
(10 Nlarks)
NIo du le-2
a. Explain classification of florv in open channel. (06 N{arks)
b. Derive conditions for nrost economical rectangular channel. (04 Marks)
c. Atrapezoidal channel has side slopes of 1H:2V and the slope ot'hed is I in 1500. The area
of the section is 40m2. Find the most economical dimensions of channel. AIso determine the
(06 Marks)
at a speed (N) in a lluid of
dimensional analysis prove
(l0l{arks)
(06 ilarks)
(06 Nlnrks)
l5 uri/s, rvhen depth ol-
(10 Marks)
I of 2

11. USN
Fourth Semester B.E. Degree Examrination, June/July 2018
Goncrete Technology
Time: 3 hrs. Max. Marks: 80
Note: l. Answer on), FIVEfull qwestions, choosing onefull questio,tfrom efich module.
2. IS-10262 mk design cade is allowed.
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b.
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a. Why is concrete the rnosi widely used engineering material?
b. What is an admixturu'? Name different types of admixtures.
c. Explain the manu{acture ofcement by dry process. with neat flow chart.
b. t.,Narne the different tests on cement.
c..: Explain briefly the action of accelerator and super plasticizers in the
3 a. What is workability? Explain the factors affecting workability.
b. Explain good and bad practices of nraking of fresh concrete.
b. Define creep, what are the factors affecting thc creep of concrete.
explain briefly?
b. What is sulphate attack? How to uiinimize sulphate attack? Also
equations.
7 a. Explain the main factors on which ,n#i#, mix design depends.
b. Drau, flou,chart ot:iS code mix design.
OR
a. What are Bogue's con'lpounds? Explain the influence of C:S in strength gaining process.
(04 Marks)
(04 Marks)
(08 Marks)
(06 Marks)
(04 Marks)
concrete nrix. a!sc
(06 Il:r rks)
(08 Marks)
(08 Marks)
(08 Marks)
(04 Illarks)
(04 Marks)
(08 Marks)
(08 Marks)
(08 lVlarks)
mention its action rvith
(08 Marks)
(08 Marks)
(08 Marks)
OR
What is segregation? How to prevent segregation in the concrete nrix':'
Name the tests conducted on workability of concrete
What is curing? Name the methods of curing.
Module-3
5 a. What is strength of concrete? What are the factors affbc'ting the strength of concrete?
OR,
6 a. Howdo you define durability? What are ifre factors improves the durabilityof concrete and
I of 2

12. OR
It is required to design a M:s grade concrete mix haviflg 3 slump of the order of 150-175mm
for pile foundations of a structure. Use lS:10262-in"{ian standard recommended guidelines to
estimate preliminary mix proportions. Consider very severe exposure condition during the
service life of the structure.
Data:
I) Size of aggregate: 10mnr to 20rn
Il) Specific gravity of aggregate - 2,67
III) Moisture content: I perceilt
IV) Absorption :0.5 percent
V) Fine aggregate finenerss modulus:2.80 (grading zone I)
VI) Specific gravit-r'-- 2.62
Vll) Moisture content = 4.1
VIII) Absorption : lcz6
IX) Cemeni OYC grade 53
X) Specific gravity of cement : 3.15.
Other conditions
i) itan ard deviation :ZMPa
ii) Air content: 4 to 5Yo
iii) Maximum allowable w/c ratio : 0.45
ir,) Minimum cement content :3+0 kg/m3
v) Density of water : 1000 kg/m3
vi) Bulk density of
Cement : 1450 kg/m3
Fire aggregate : 1700 kg/m3
Coarse aggregate: 1800 kg/mr.
,
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Nlodule-5
a. What is RMC? What are the factors on which the property of RMC depcnds? (08 Marks)
b. What is light weight concrete? Name the aggregates used as lig,trt v,,eight aggregate? Explain
its property. (08 Marks)
(16 Marks)
concrete?
(04 Marks)
(04 Marks)
L-box. V-tunel
(08 Marks)
l0
OR
a. What is self compacting concrete? How it is different frcm high performance
b. What are the clifferent types of fibers used in fiber reinforced concrete?
c. Explain maximum and minimum values of rvorkability values measured in
and florv test. Explain the above tests bri.et)y.
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Fourth Semester
Basic
Time: 3 hrs.
B.E. Degree Examinationo June/July 2018
Geotechnical Engineering
Max. Marks: 80
ii) Partially saturated soil
(06 Marks)
iv) Coefficient of curvatirre
( t 0 it{arks)
Note: l. Answer any FIVE full questioru,s, cltoosing one full questiort from each motlule,
2. Missing data, rf ony, may be suitsblv assumed and clectrly stated.C)
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a. With the help of phase diagrams, .*O,uffiro,,
iii) Saturated soil.
b. 5009 of dry soil wa,s suLjected to a sieve analysis. The rveight of soil retained on each sieve
is as follows :
l,S: Sieve size Wt. of so il, o [.S. Sieve size Wt. of soil. o
4.75nrrn l0 212 p 40
2.00rnm 165 150 u 30
l.00rnrn 100 75 rt 50
425 rt 85
Flot the grain size distribution curve and determine the following :
i):. Percentage ofgravel , coarse sard, medium sand. fine sand and silt-clal,fraction a:i
per IS : 1498 - 197A.
ii) Effective size iii) Unifbrmity coefficient
v) The gradation ofthe soil.
(08 I{arks)
OR
a. List the consistency limits and their indices. (04 Marks)
b. Explain the Indian standard soil classification system and mention the u5s of plasticitl.cSart.
(06 Marks)
c. The weight of soil coated with the thin layer of paraffin waxrwas 6.90 N. The soil alone
weighs 6.83 N. When the sample is immersed in water it ilispfaces 360 mI of u,ater. The
specific gravity of soil is 2.73 and that of wax is 0.89. Fincl 'rhe void ratio and degree of
saturation, ifthe moisture content is l7%. (06 Marks)
Module-2 ,,
a. List and explain various soil structures.
b. The follor,ving results retbrs to compaction test as per IS light compaction
i2,,2
1.94
t3.75 r 5.5 r8.2 20.2
2.00 2.0s 2.03 1.98
If the specific gravity of soil is2..7 anrJ volume of compaaion rnould is t000 CC. plot the
compaction curve and obtain the niaximum dry unit weight and optimum moisture content.
(08 NIarks)
OR
a. With the help of neat sketches, explain any two clay minerals. (08 Marks)
b. During compaction, fe.st on soil having specific gravity of 2.7 gave a maximum clry unit
weight of l8kN,{ni3rand the water content of 15l%. Detlrmine thE de-{ree of saturation . air
content and perccntage air voids at the maximum dry unit weight. What r,vould be the
theoreticai ntaximum dry unit weight corresponding to zero air void at the optimum water
content? (08 llarks)
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Module-3 ,'
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a. Explain : i) Superficial velocity ii) Seepage velocit;,' iii; Capillary rise of water
in soil.
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b. A soil stratum with permeability K:5 x 10": c;m/s overlies an impervious stratum. The
impervious stratum lies at a depth of l8m:below the ground surface. A sheet pile wall
penetrates 8m into the permeable soil stratum.:Water statds to a height of 9m on upstream
side and l.5m on dorvnstream side abcv'e tire surface of soil stratum. St .t.h the flow net and
determine i) Quantity of seepage- ii) Seepage pressure at 'P' Iocated 8m below the
surface of soil stratum and 4m awey fiom the sheet pile wall on its upstream side.
OR
a. What is a Florvnet? What are its characteristics and uses? (06 Marks)
b. A clay strata 6m thick laying below sand layer 5m thick. The water table is located at a
depth of 2m from surflace. The sand has porosity of 38% and specific gravity of 23.The
sand above ther vriater table may be taken as dry. ihe water content of clay layer if 60oh and
G:2.65. Calculate total stress, pore waterpressure and effective stress atthe middle ofclay
layer ancl rdraw the distribution cliagrarn. (10 Marks)
Module_4
a. Enplain Mass - Spring analogy theory of consolidation of soil. (06 Marks)
b. 'A saturated soil stratum 5m thick lies above an impervious stratum and below a pervious
stratum. It has a compression index of 0.25 and coefficient of permeability 3.2 x igo, cm/s
void ratio at stress l50kN/m'is 1.9. Compute i) Change in void ratio iue to incr:ease of
stress to 200kN/m2 ii) Settlement due to increased load iii) Time ..q"i**J t-i'IOZ
oR ." "' '
a. With the help of neat sketch, explain determination of pre-consoiitiatiion pressure by
b. Differentiate betrveen Normally consolidated and Over consoliclatc.d soils. (04 Marks)
c. A 3m thick layer of saturated clay in the field under a surcharee loading with achieve g0%
consolidation in 75 days in double drainage conditions. Firrrl the co-effiiient of consolidation
a. Explain Mohr - Coulomb failure theory of soit.
b. Compute the shear strength of soil along a hcrrizontal plane at a depth of 5m
sand having the following particulars : Arrgie of internal friction , 0
: 360
Dry unit weight , ya : 17 kN/mi : Spregific gravity, G : 2.7.
Assume the ground water table is at s depth of 2.4m below the ground level.
change in shear strength ifwater i.:vel raises to ground level.
(06 Marks)
(06 Marks)
in a deposite of
Also determine
(10 Marks)
10 a. Explain the ty'pes of shear test based on diffbrent drainage conditions. (06 Marks)
b. [n a drain-ed triaxial ccmpression test. a saturated sandy sample failed at a deviator stress of
360kN/m2 and cell pressure of l00kN/m'. Find tfr. .ftt,.tive shear parameters of sand. If
another identica,l sanrple is tested under a cell pressure of 200kN/m2 , determine graphically
the deviator slress at which the specirnen fails. Check the results analytically. -110
Markg
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Fourth Semester B.E. Degree Examination,
Advanced Surveying
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Time: 3 hrs. Max. Marks: 80
Note: Answer any FIVE full questions, choosing
ONE full question from each module.
Module-1
I a. Define degree ofa curve. Establish the relationship between degree ofa curve and its radius.
(04 Marks)
6. Two tangents intersect each other at a chainage of 59 + 60, the deflection angle being
50'30'. It is required to connect the two tangents by a simple curve of 15 chain radius.
Taking peg interval of 100 links, calculate the necessary data for setting out the curves by
Rankine's method of deflection angles. Take length of the chain as 20m = 100 links. Also
write a brief procedure for setting out the curve. (12 Marks)
OR
a. Distinguish between a compound curve and a reverse curve with sketches. (06 Marks)
b. A compound curve consists of two simple circular of radii 350m and 500m, respeL:tively and
is to be laid out between two tangents TrI and IT2. PQ is the conlmon tangent and D is the
point of compound curvature. The angles lpQana faB are 55o ancl 25o respectively.
Given the chainage of point of intersection as 1800.00m, calculate the chainages of
Tr, Tz and D. (10 Marks)
Module-2
What are the important factors to be considered in selection of site for a base line?
(06 Marks)
From a triangulation satellite station 'Q' 5.80m away from the main station A, the following
directions were observed :
A:0o 0'0", B: 132" 1.8'30", C:232" 24'6", andD :296" 6'lI".
The inter connected base lines AB, AC and AD were measuredas3265.50m, 4022.20m and
3086.40m respectively. Determine the directions of AB, AC and AD. (10 Marks)
OR
Define the terms :
i) True error
ii) Residual error
iii) Conditioned equation
iv) Indirect observation.
Three observed angles o, B and y from a station P with probable errors
given belorv :
a - 780 12', 72" + 2",
F: 136" 48' 30" + 4",
y:144" 59', 8" + 5"
Determine their coffected values.
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(12 Marks)

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15CV46
ModuIe;3
Define the terms :
i) Celestial sphere
ii) Hour angle
iii) Prime vertical
iv) Latitude of a place. (04 Marks)
Find the shortest distance betrveen two places A and B given that their latitudes are 12oN
and 13o 04'N with respective longitudesT2o 30'E and 80o 12'8. (12 Marks)
OR
Briefly explain the solution of spherical triangle by Napiers rule of circular parts. (06 Marks)
The standard time meridian in India is 80o 30' E. If the standard time of place rs Z}H 24M
06t, finrJ the local mean time of two places having the longitudes as 20o E and 20o W
respectively. (10 Marks)
ModuIe-4
With a neat sketch, derive the expression for the scale of a vertical photograph. (08 Marks)
A line AB 2.00 kilometer long, lying at an elevation of 500m measures 8.65cm on a vertical
photograph of focal length 20cm. Determine the scale of the photograph at an average
elevation of 800m. (og Marks)
6a.
b.
7a.
b.
a.
b.
OR
Define the terms :
i) Tilr
ii) Exposure station
iii) Principal point
iv) ISO centre.
Mention the reasons for photograph over lap. Justify the same.
Module-S
Define EDM.
Explain the working of remote sensing equipment.
What are the advantages of LIDAR technology?
OR
Explain the working of total station.
Explain the civil engineering applications in GIS and remote sensing.
9a.
b.
c.
10 a.
b.
(08 Marks)
(08 Marks)
(03 Marks)
(05 Marks)
(08 Marks)
(08 Marks)
(08 Marks)
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2 of 2