3, d'd a'dr I

USN 1OMAT31

Third Semester B.E. Degree Examination, Dec.2013lJan.2ol4Engineering Mathematics - lll

Time: 3 hrs. Max. Marks:100Note: Answer FIVEfull questions, selecting

at least TWO questions from euch port.PART _ A

expansion of the function f1x;=lxl in t-n.n). hence deduce that

(06 Marks)

b. Obtain the half-range cosine series for the function, f(x) = (x - 1)' in the interval 0 < x < 1

(07 Marks)

ooo!g

oC)L

()X

-y>6e

= ra'

-*lgoo.= c\

ihOyootrFO

o2

a=

oo)

ootrc6(€

>6L='od5c,5 -!l

o-X

oj

a--d(E

!o5.ebootb0

o-Utr>=o5ro<J c.i

o'7

o

1 a, Find the Fourier series

-l @/!

-\- I

8 ?)12n-l)r'

2 a. Obtain the Fourier cosine transform of f1x; = --! ,l+ x-[t-*t forlxl<l

b. Find the Fourier transform of f(x) = i - | |

[ 0 forlxl >l

(06 Marks)

(07 Marks)

(07 Marks)

u*, *u, =0(07 Marks)

the following

u6 is constant

(07 Marks)

(06 Marks)

to fit most closely to the(07 Marks)

c.

3a.

b.

Find the inverse Fourier sinc tiansform of #,Obtain the various possible solutions of two dimensional Laplace's equation,

by the method of separalion oIvariables.'i,

Solve the one-dimensional wave equation,

.

conditionS (i) u(0, t) : u(1, 0 : 0

o\.(ur) _(x.0) = 0.ot

^ ) ^)_ , d-u d-uC--;-- =-.0<x</underox- ol'llox(ii) u(x. 0) : ,

where

c. Obtain the D'Almbert's solution of the wave equation un - C'u,* subject to the conditions1-

u(x. 0) : f1x) ura $f *.0):0.4 a. Find the best values of a, b, c, if the equation y=a+bx+cx2 is

fo llo wing observations.

Solve the following by graphical method 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)

und h.n.. showthar n' =r{}***}. }tr- 3' )- )c. Compute the cohstant term and first two harmonics of the

.{o\/^<t ./

,/.,J f1s1!q);izl .1

x 0 TE

J

2n.....

;J

....,.11, 4n;J

5n;J

2n

flx) 1.0 t.4 t.9 t.7 1.5 t.2 1.0

ixcosx-sinx,and evaluate l--------:-------dx .J x'

0

x 2 a-) 4 5

v t0 t2 13 16 19

1OMAT31PART _ B

Using Newton-Raphson method, find areal root of xsinx+cosx =0 nearer to n, carryout5a,

b.

6 a. A

three iterations upto 4-decimals places.Find the largest eigen value and the corresponding eigen vector of the matrix,

lz -r oll-, 2 -11

Io -r ,)By using the power method by taking the initial vector as [t t t]'

Solve the following system of equations by Relaxation method:lZx+y+z=31 ; 2x+8y -z=24; 3x+4y+102=58

onducted in a slum localit ls the followins informati

carryout 5-teratrons.

(07 Marks)

, $f Marks)

(06 Marks)

ified below,survov conclucted m a slum localtv revea lon as classlIncorneDer dav in RuDees 'x' Under 10 t0 -20 20-30 30-40 40-50Numbers'of persons'y' 20 45 11s 214 t 1s

Estimate the probable number of persons in the income group 2A b 25.- .tr,Stlmate tne pr0baDle numDer oI persons m the mcome group zIJ tfr'25. (07 Marks)b. Determine (ii as a polynomials in x for the data given below by using the Newton's divided

diflerence formula. (07 Marks)difference formula.x 2 4 5 ,,.,.6 8 l0f(x) 10 96 196 350 868 1746

I

c. Evaluate l.U,O- by using Simpson'sjt+x (1). rule by taking 6 - equal strips and hence

(06 Marks)

: 0, u(4, t) : 0, u1(x, 0) : 0 and

(07 Marks)

conditions, u(0, t) : 0 : u(1, t),

7a.

8a.b.

c.

b.

c.

deduce an approximate value of log; Z"'. ""

r) ;)

Solve the wave equation, +:a$$,:subject to u(0, t)dt- dx'

u(x, 0) : x(4 - x) by taking h: 1, K: 0.5 upto 4-steps.

Solve numerically the equalior, $ = * rrrUl..i to tt.OI dx'

andK- 1

36 ,,,

Solve,B* *u,, =0 in the following square region with

indicated in the Fig. Q7 (c).

t > 0 and u(x,0): sinnx, 0< x <1, carryout the computation fortwo levels taking h=1J

(07 Marks)

the boundary conditions as

(06 Marks)

5oo I oo 1oo 50

lll u1

["

Fig. Q7 (c)

0000Find the z-transform ol (i) sinh n0 (ii) coshnO

'>z: +32Find the inverse z-transform of. o'

'

(z +2)@- a)

Solve the difference equation, yn*z * 6yn*, * 9yn =2"with yo = Yr = 0 by using z-transform.

>k****

tt1

"n

(ur) n- (07 Marks)

(06 Marks)

(07 Marks)

USN

Time: 3 hrs.

44.

MATDTP3Ol

Max. Marks:100

(06 Marks)

'1'r. 'l'.,. '

(07 Marks)

i (07 Marks)

(06 Marks)

(07 Marks)

(07 Marks)

(06 Marks)(07 Marks)

(07 Marks)

(06 Marks)

(07 Marks)

Third Semester B.E. Degree Examination, Dec.2013lJan.20l4

Advanced Mathematics - I

Note: Answer any FIVEfull questions,

b.

c.

dC)

o!

C)

I

Eq

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o>?a

a=

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>6

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o6.()j

o=A,iLO

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=oo-

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ooZ

o

Express the complex number 111#+9 in the form x + iy.

_. . (3 _Ji),Find the modulus and amplirude of GExpand eoss e in a series of cosines multiples of 0.

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.

' _ r,', Ic. Findthenthderivativeof I t *,,-?12 l.

Is(x - l) (j - 1{2x + 3).]

3 a. Using Taylor's theorem. expreis the polynomial 2xr +7x2 + x - 6 in powers of (x - 1 ).

Using Maclaurin's series. expand tan x upto the term containing x).) ^)ll Z =*, + y, - 3axy then prove *at ffi= k

,',.]',, '

,,t""""".' "''-duIf u:xlogxy where *t+yt+3xy=t. find #.dx

b. rf z:(x, y) and x = sb +e-' andy = e-u -eu, prove ri;;*-+ = " *-y*.(07 Marks)' Au *^ -ry) r D(u' v' w)c. If u:x+3y2 -23, y=4x2yz, w= 222 -xy,findthevalueof -# at(1,-1,0).- A(x.Y'z)

:eduction rormura ror Jsin, x dx ,#*% ,ru *r,u,..

5 a' O[tai the reduction formula for lsin' x dx .J

b Evaruatei+ ,,f 5}}:li)E} (oTMarks)

otc. Evaluate ii,*+ev)dydx \W' ,ozrvrarrsy

@^\_.r'* aAeAR

13 "ri

llt

6 a. Evaluate JJJe..'.'Oxdydz (06 Marks)000

b. Find the varue "r l[,

c. Prove that B(m.nl =@.l(m + n)

(07 Marks)

(07 Marks)

MATDIP3Ol

7a.

b.

-,,.:..-!ij

,:1,_.,

8a.

(06 Marks)

(07 Marks)

.,*fl[]:''it(07-{arks)

,-,,..nr*q*

.1o'"""" (06 Marks)

(07 Marks)

(07 Marks)

b.

c.

Solve 9-""-" +x2.e-zr .

dx

Solve d! =*' -y' which is homogeneous in x and y.dx xy

Solve 9-+ = e'*(x +l).dx x+l

So\.re *.S9 * 6y = e^ .

.l ,+dx' dxs -JY "x,'

Solve *-:9* 2y=snlx.dx' dxSolve 1D2'!gff;- xsin 3x + cos x.

Ww

{*\\=%

,*\ sfl::i: r !

'::, '

=:

,ffi'*dF.

-:r#h..4:,...:::

, ,\,:

..::................! l

-,- =-'

*d'p:,:::::

.,,.,,....=

4.r% \. Illt 'u '

-,,,:::::...:.,,,::,

', '.,a'

1*d s' ,::::'.qffi

tv|.::: .:::

::, i _/iti'4'

2 of2

USN 10cv32

Third Semester B.E. Degree Examination, Dec.2013 /Jan.20l4Building Materials and Gonstruction Technology

Time: 3 hrs. Max. Marks:100Note: Answer FIVEfull questions, selecting

at least TWO questions from each part.

PART - AI 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 improveit. (07 Marks)

c. Draw neat,, labelled sketches of the following types of foundations and explain where theyare 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;-_,.-,

(J()

o

(d

o={)L

B9

(6e

-loo'E*.= c.l(g+o:lJ

otrta)

o2

a:

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50ccB (6

,6

Ed

oi=

o- 5.tro.o'!oj

o=alE

!o5 .!i>, txooeco!o=*otr>(J-

L-l<

ooz(gPoa

"& or Tc;> (o'l Marks)

c. Draw near skerches of the following and explain' Z6*fXlCi) Ashlar mason-ry ii) Ruible ,nuro*y ,/f/-o*qsnu\;1os Marks)

i ,4 I Gta'" . ,. *{ l:j3 a. Explain the following terms with respect to an arch: \r{ uteae*" },; ,,!

key stone, ,pu.,, i,i;;;;,'""H:-";;#;.' K 05 Marks)b. Define lintel and chajja. Draw a neat labelled diagram of a reinNffit&€Hntel with

chajja projection showing the position of reinforcement. '':- (07 Marks)

c. Give the classification of arches and explain stability of an arch. (08 Marks)

4 a. Discuss the advantag.t of a::flut roof. Briefly expiain its advantages. (08 Marks)b. List the types of pitched roofs. (04 Marks)c. Discuss the various flooring material used briefly. Explain any two of them in detail.

,, ' (08 Marks)

"",,i"' PART - B5 a. Write short rrotes on the following:i) Collapsible steel door ii) Bay window ,:, (08 Marks)

b. Explain the factors to be considered while locating the position of doors and windows in abuilding. (06 Marks)

c. lilhat are the salient features of a framed panelled door? Explain. (06 Marks)

6 u' Draw the plans of the following types of stairs. Briefly explain them., . I Dog-legged stairs ii) Open newel stairs (10 Marks)

b. Draw the section of a typical stair and level all the parts? Explain each part. (10 Marks)

7 a. Explain various defects in plastering. (06 Marks)b. List the various constituents of a good paint. Discuss each constituent of paint. (08 Marks)c. Explain the process of distempering. (06 Marks)

8 a. Explain the terms: i) Shoring, ii) Slip forming, iii) Guiniting (06 Marks)b. Discuss the causes and effects of dampness in a building. (08 Marks)c. List the important properties and uses of the following building materials:

i) Aluminum ii) Plastic iii) Varnish (06 Marks)

USN

2a.b.

c.

3a.b.

c.

l0cv33/10EV33

Marks)

dooL

o(.)

tQa

50-(g=

-.ooolE: ao

gc)ol:FO

o=

aXoO

a0i

3(J'EaOE

o- :i-=o."o -.t

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=95 .:i>\ (ts

ooosooo=*oF>o

ur<,;:-(.)

oz

oE

Third Semester B.E. Degree Examinationo Dec. 20l3lJan.2014Strength of Materials

Time: 3 hrs. Max. Marks:100Note: Answer FIVEfull questions, selecting

atteast rwo r"::;::m each part'

a. Define'Bulk modulus". (03 Marks)b. Derive an expression for the deformation of a member due to self weight. (05 Marks)c. 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 remaininglength of the member, the diameter remains 'd' mm uniform. When this member is subjectedto axial tensile tbrce of 150 kN. the total elongation observed is 2.39 mm. Determine the

(12 Marks)

(03 Marks)(03 Marks)

diameter 'd'. Assume : E: 2 x 105 N/rnm2.

Define' Composite rr"*..What are 'Ternperature stresses'?A bar of brass 25 mm diameter is enclosed in a steel tube of 25 mm internal diameter and50 mm external diameter. The bar and the tube are rigidly connected at both the ends. Find

95'C. Assume Es:2 x 105 MPa, u5:1'1"6 x 10-6/ oC,

crt,: 18.7 x 10-6/ oc.

the stresses in the two materials, if the temperature of the system j m 15oC to

MPa and

fo marhsl

What are 'principal stresses"?An element is subjected to a tensile stress of 100 N/mm2. And stress of50 N/mm2 is applied perpendicular to the direction of tensile stress. 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 thenormal stress and shear stress on a plane making an angle of 30' with the plane on which thetensile stress acts. Also, find the values of principal stresses and the location of principalplanes (adopt analyical method). (t2 Marks)

4 a. A simply supported beam AB of span 'l' is subjected to an eccentric point load W at adistance of 'a' &om left support and 'b' from right support. Develop the general expressionsfor shear force and bending moment. Draw BMD and SFD. (08 Marks)

b. An overhanging beam is of total length 5 m. The supported length AB :4 m. The length ofoverhang BC : 1 m. There is a UDL of 20 kN/m starting from A upto a length of 2 m. Thereis a point load of 40 kN at 2m from A. Another point load of 20 kN is acting at the llee endof overhanging portion. Draw SFD and BMD. Find the values of maximum SF and BM.

I

Also, locate the point of contraflexure. (12 Marks)

A T section is having a flange of 200 mm x 50 mm. The web is also 200 mm x 50 mm. It issubjected to a bending moment of 15 kN. m. Draw the bending stress distribution across thesection, indicating the salient values. (10 Marks)

6 a. A simply supported beam is of span 'l'. It is subjected to UDL of intensity w/unit lengthover it's entire length. Derive an expression for maximum deflection assuming flexuralrigidity as EI. (08 Marks)

b. A beam of uniform section is 10 m long. it is simply supported at it's ends. It carries loads of100 kN and 80 kN at distances of 2 m and 6 m respectively from the left end. Calculate

(12 Marks)

(05 Marks)(03 Marks)

Determine the diameter of a solid ciicular shaft which will transmit 400 kilowatts at 300rpm. The maximum shear stress should hot exceed 32 N/mm2. The twist should not be morethan lo in a length of 2 m. Assume modulus of rigidity as 90 kN/mm2 (12 Marks)

a. Define 'slenderness ratio' of a column. (03 Marks)b. Distinguish short column and Iong column. (03 Marks)c. 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 mlong and fixed at both the ends. If E : 120 GPa, calculate the,critical load using Euler'sformula. Compare the above load with the value obtained from Rankine's formula. Thepermissible compressive stress is 500 N/mm2. The Rankine's constant is 1/6000. (14 Marks)

PART _ B

Derive the general bending equation Y = I = E *ith usual notations.IvR

deflection under each load. Assume E : 200 GPa and I = 18 x 108 mma

List the assumptions made in the theory of torsion.Define'Torsional rigidity'.

10cv33/108V33

(10 Marks)54.

b.

7a.b.

c.

*****

2 of?

USN

Time: 3 hrs.

2a.

b.

3a.

b.

C.

4a.

b.

c.

10cv/EV34

Third Semester B.E. Degree Examination, Dec. ZDl3/Jan.2014Surveying - I

a.

b.

dJoo

o.

E

4)

=(.)I

Qa50-c=

2s-ciu

j

eolaoo.= ol

-5nYool=()

o=

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o()

50trErk=

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i9o."oj

6:

:o5.:>1 (ts

^^oc oll

o=soF>XoYL

U<:^(-)

o'7

o0.E

PART _ A

Explain the following with neat sketches :

i) Geodetic surveyingii) Working &om the whole to the partiii) Numbering of Topo maps of India.Di I lerentiate between :

i) Precision and acCuracyii) Plan and map.

Give brief description und ;;;, of the following :

i) Steel band ii) Line ranger iii) EDM d&ices.

Max. Marks:100Note: 1. Answer FIVEfull questions, selecting

atleast Tl,yO questions from each part.2. Missing data, if any, may be suitably assumed.

(I2 Marks)

,, (0S Marks)

(06 Marks)The distance between two points, measured along a slope is a28 m. Find the horizontal

length for a slope angle of 10o. (05 Marks)

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.

An offset is measured with an accuracy of 1 in 30 and the error in laying out the ,ilJfff,i4o. 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 onthe 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)

Differentiate between i) true meridian and magnetic meridian ii) Dip and declinationiii) Isogonic and agonic lines. (06 Marks)What is traversing? Explain the significance of open and closed traverse in compasssurveying. (04 Marks)The following bearings were observed for a closed traverse ABCDEA. Calculate the

es. (t0 MaLINE AB BC CD DE EA

BEARINGS 140'30', 800 30' 3400 0' 290" 30', 2300 30'

distance between them if i) the angle of slope between the pints is 8" ii) The difference inlevel is 52 m iii) the slope is I in 4 and also iv) the hypotenusal allowance per chain of 20 m

c. A steel tape of nominal length 30 m was suspended between supports to measure the lengthof a line the measured length of the line on a slope angle of the 2 50' is 29.859 m. The meantemperature during the measurement was 12oC and' the pull applied was 100 N. If thestandard length of the tape is 30.005 m @20"C and the standard pull is 45 N, calculate thecorrected horizontal length. Take weight of the'tape= 0.15N/m, its cross sectional

cEHfffi,&ilLIBfr&g{Y

incl14!gl44gtes. (lo Marks)

PART _ B5 a. Explain the terms and their significance :

i) Local attractionii) Independent and dependent co-ordinatesiii) Bowditch and transit rules.

lOCV/EV34

(10 Marks)

(04 Marks)

(10 Marks)

(08 Marks)

6a.

b.

b. The following bearings were observed in a compass traverse. Determine the stations affectedby local attraction apply correction and find the corrected bearings. (10 Marks)

LINE AB BC CD DAF.B s 450 30'E s 60'00'E N 5" 30',E N 54'30',WB.B N 45" 30', W N 60'40',E s 3'20' w s 51'40',E

Illustrate with neat sketches : i) Profile leveling ii) Differential leveling iii) reciprocalleveling iv) Block leveling. (08 Marks)An obserVer standing on the deck of a shop, just sees the top of the light house which is 40m above the sea level if the height of the obseryer's

"y. ir 8 m above the sea level,determine of the observer from the light house.

c. The following obsezuations were taken in reciprocal leveling

ta.

b.

c.

Determine the R - L of B, if that of A is 100.800 m. Also calculate the angular error incollimation if the distance between A and B is 1000 m. 108 Marks)

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) Valleyiii) Ridge iv) Vertical eliffv) Overhanging cliff. (06 Marks)Find out the missing figures and complete the level book page. Apply usual arithmeticcheck.

Instrument @Staffreadinss @.

A BA t.62s 2.545B 4.725 1.405

Sl. No. B.S I.S F.S H.I R.L 'RemarksI 4.390 X x Point - 1

2 x 192.00 Point - 2

-) 3.910 6.520 x x Point - 3

4 5.390 19t.620 B. M.

5 4.730 x Point - 4

6 x 203.300 Point -5 Staffinverted7 4.330 X X Point - 6

8 2.990 194.830 Point - 7

8a.b.

Discuss the advantages and disadvantages of plane tabling.Explain with neat sketches :

i) Intersection methodii) Radiationiii) Strength of fix.

f{<*8{<

(12 Marks)

10cv35USN

Time: 3 hrs.

la.b.

c.

2a.b.

c.

Third Semester B.E. Degree Examination, Dec.2013 lJan.2Dl4Fluid Mechanics

Max. Marks:10CINote:1. Answer FIVEfull questions, selecting

at least TWO questions from euch part.2. Assume missing data suitably.

,,

F-lra*-, js"

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o=6EcE!o:.9Y,oooEcO

o- ;jtr>=oo-

lr<-; 6i()oz

PART _ ADefine fluid. Distinguish between liquids and gasses.

::::::.:::::::::.

, ', (06 Marks)Explainthe phenomenon of surface tension. Derive an expressior 16l pqessure inside a liquiddroplet. ,,,,, (06 Marks)A cylinder of,120 mm diameter rotates concentrically inside .a fixed cylinder of diameter125 mm. Both the cylinders are 300 mm long. Find the viffi$ity of the liquid that fills thespace 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 invertedU-tube diflerential manometer. (06 Marks)Find the manometer reading h for the Fig. Q2 (c) shown below, (08 Marks)

2 illlfr,\ -2' LV 4t't*fr)

IvleUcr.rX (S = lS,l) ,.

Fig. Q2 (c)

a. Derive the expressions for total pressure and centre of pressure on a vertical plate submergedin a static liquid. (06 Marks)

b. Explain the procedure of finding hydrostatic force on a curved surface. ioo lvtart<s)

c. A circular plate 2.5 m diameter is immersed in water, its greatest and least depth bolow thefree surface being 3 m and 1 m respectively. Findi) the total pressure on one face of the plate andii) the position of centre of pressure.

-'::',;,,

(08 Marks)

4 a. Distinguish between : i) Steady and unsteady flow ii) Uniform and non-uniform flowiii) Compressible and incompressible flow. (06 Marks)

b. Deflne the terms velocity potential function, stream function and establish the relationbetween them. (06 Marks)

c. A stream function is given by V = 2x2 -2y2 . Determine the velocity and velocity potential

function at (1,2). (08 Marks)

'NATER

PART _ BName the different forces present in a fluid flow. WhatEuler's equation of motion?State and prove Bernoulli's theorem.

10cv3s

are the forces considered for the(04 Marks)(08 Marks)

-l

5a.

b.

c.

.;.;.; ;;,,,,.:,',. r..,,,

The diameters at the ends of a 16 m long vertical conical pipe conveying water are 0.5 nIand 1.5 m. The loss of head between the ends is 2.65 m in either directions when thevelocity at the smaller section is 9 m/s. If the smaller section is at the top and pressure headat this section is 2.15 m of water, find the pressure head at the lower end when the flow is,

, i) Downward and ii) Upward. (08 Marks)

(06 Marks)(06 Marks)

(08 Marks)

**r<*{<

7a.b.

c.

8a.b.

c.

6 a. Ex,eh:_:the phenomenon of water hammer. List the four factors affecting water nuffiii;.u.,

b. DeriVei-aff,pxpression for head loss due to sudden enlargement in a pipe flow. (06 Marks)

c. A pipe of 200 mm diameter and length 2000 m connects two reservoirs. having difference ofwater level,ai::2O m. Determine the discharge through the pipe. tf an additional pipe ofdiameter 200 mm and length 1200 m is attached to the last.12S0 m of the existing pipe, findthe 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.Briefly explain. i) staff gauge ii) weight gauge and iii) float gaugeA pitot tube inserted in a pipe of"300 mm diameter. The static pressure in pipe is 100 mm ofmercury (vaccum). The stagnafiort pessure at the centre of the pipe, recorded by pitot tubeis 9.81 kPa. Calculate the rate of flow of water through pipe. Take mean velocity as 0.85times central velocity and Cy: O

3,l; ,, (08 Marks)

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 rectangularchannel 600 mm wide and 450 mm deep. If the water level in the channel is 225 mm abovethe weir crest, find the discharge in the channel. For the notch assume Ca : 0.63 and takevelocity of appro..Actrl'ihto account.

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Applied Engineering Geology

Explainthe role of geology in the field of civil engineering. (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 theminerals: i) pyrrteil ii) Biotite MICA. (04 Marks)

...Max. Marks:100

Note: l. Answer FIVEfull questions, selectingat lesst Tl,l/O questions from each part.

2. Assume missing data if any suitably.

PART _ A .."....

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.

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.

Write notes on the following:Earthquake resistant structuresCauses and prevention of land slidesCoastal landformsTsunami and its effects

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PART _ B

construction.

How the electrical resistivity method is used in groundwater exploration?Give an account of artificial recharge of groundwater by various methods.

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.

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What is fauh? How do you identify the faults in the field and i I'ra.note on its engineeringimportaale,Explain tfie importance of folds in civil engineering structures.Add a note on various types of unconformities.

Explain with a neat sketch the tunneling through folded rocks.Describe the various geological considerations required during the selection of a site for dam