11
ttt lil \ USIN{ 'lirne: -l trrs. Ia. t), Irourth $cmester B,m. D*gree }trxamixrrt'i,on, May/-Iune 20,10 &dvmmfisd $flmthemmtic,s * lI Max. Marks:100 MATDTF40l ,(06 Mafla) 5n : 0 antl (07 M*rks) {07 Marks) CJ o c) fd ! cr c L h d 4J d {J L 3e z -v? dU -: rr *tt oD ., (€ .- l. .E(\ (c\t c. k tr{.} o' Ef o) ts ! a,: bd ldo o-o ddd dL -o >! 2e dl l'a 'tro oP 6* JO Oo- 5 (r3 o?j d.e 6|Ii aE LO :n o.: AY c60 o:5 6. [] lr> =() o \J< *c! /;; /, ,/o .Z { o u d N"r"r{:e: r{mswer an-y IrI Vil fwll tS w*srl.nn.s. Find the pro.iectiCIn of thr: line AIj on CD whsre A: (1, 2,3) , B = (-1 ,0,2), C * (1,4,2), I) * (2,0, -l). Find the angle between two lines whose diroction cosines are given by / +3m -r" Zrnr,r -- {:nl * Slrn ,* 0. I A Iine malces angles u, B, y, 6 with diagonals of a cube. Prove that Cos2cx -F Cos2[] + Clos?y + Cos2S = * , .5 1 ,.t b. Find the equation r:f'the plane passing tluough tlre points (3, 1,2) ancl (3,4,4) ami perpendicular to 5x -r- y + 4r. * 0, (06 Marks) Show thx the points (2,2,0), (4, 5, l), (3, 9, 4) and (0, -1, ,,1) are coplanar. Irind the equation of the plane c.ontai.ning then:. (07 Marks) c. Find the equation of a straight line throrrgh (7, 2, -3) and perpendicular to each of the lines. .I:3 = .r-:.-J ,= r .! and * 13 = r:.J. * ri . 3454s6 3 a. Slrow []rat the position vsctors qf the vertices of a 4 a. Fincl flie directional rjerjval.ives of the function $ =, xyz the su.rt'a*e xyl-* yz?'-r"?x2 * 3 at th* point (1, I, 1). rriangle i*r(",fri-j) , t*a; (07 Marks) along the directian of'the nonnal to (05 Marla) (0? Mar:ks) (0? VIsrLx) (06 Markr) . = :[Ji i* j) r""" an isoscetes h'iangle. (06 Marks) b. A panicle moves *rlong the curve i*3t'i-f (t'*at)l"r-(3t+.4)t .lrind the compongnts r:f vehrcity and accelerarir:n at I * 2 in the c{,irection i * z:.r 2fr. . (07 Marks) c. Fir:d the angle between the nontals to the surl'aces x'/ * za at, (1, l, l) ar:d (3, 3, -3). (07 Markr) b. Iinilth* div f,' andcwl li whsre F *. V (*'* I t i *3xy4. -| o. i{' v = 2xy i +:*'y j -3ayz[ is solenoidal at (1, l, I ), find a. 5 a. Ilincl the uufit nor*ral vector to the surlace xy "f"x -r- ?-x * 3 at (1, l, 1). I ofZ

4th semester Civil Engineering (2010 - May) Question Papers

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Page 1: 4th semester Civil Engineering (2010 - May) Question Papers

tttlil

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USIN{

'lirne: -l trrs.

Ia.t),

Irourth $cmester B,m. D*gree }trxamixrrt'i,on, May/-Iune 20,10

&dvmmfisd $flmthemmtic,s * lI

Max. Marks:100

MATDTF40l

,(06 Mafla)5n : 0 antl(07 M*rks)

{07 Marks)

CJoc)fd!cr

cLhd

4J

d{JL

3ez

-v?dU-: rr*ttoD .,(€

.- l..E(\(c\tc.k tr{.}

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bdldo

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=()o

\J<*c!

/;;/,,/o.Z

{oud

N"r"r{:e: r{mswer an-y IrI Vil fwll tS w*srl.nn.s.

Find the pro.iectiCIn of thr: line AIj on CD whsreA: (1, 2,3) , B = (-1 ,0,2), C * (1,4,2), I) * (2,0, -l).Find the angle between two lines whose diroction cosines are given by / +3m -r"

Zrnr,r -- {:nl * Slrn ,* 0. I

A Iine malces angles u, B, y, 6 with diagonals of a cube. Prove that

Cos2cx -F Cos2[] + Clos?y + Cos2S = * ,

.5

1 ,.t

b.

Find the equation r:f'the plane passing tluough tlre points (3, 1,2) ancl (3,4,4) amiperpendicular to 5x -r- y + 4r. * 0, (06 Marks)Show thx the points (2,2,0), (4, 5, l), (3, 9, 4) and (0, -1, ,,1) are coplanar. Irind theequation of the plane c.ontai.ning then:. (07 Marks)

c. Find the equation of a straight line throrrgh (7, 2, -3) and perpendicular to each of the lines.

.I:3 = .r-:.-J ,= r .! and * 13 = r:.J. * ri .3454s6

3 a. Slrow []rat the position vsctors qf the vertices of a

4 a. Fincl flie directional rjerjval.ives of the function $ =, xyzthe su.rt'a*e xyl-* yz?'-r"?x2 * 3 at th* point (1, I, 1).

rriangle i*r(",fri-j) , t*a;

(07 Marks)

along the directian of'the nonnal to(05 Marla)

(0? Mar:ks)

(0? VIsrLx)

(06 Markr)

. = :[Ji i* j) r""" an isoscetes h'iangle. (06 Marks)

b. A panicle moves *rlong the curve i*3t'i-f (t'*at)l"r-(3t+.4)t .lrind the compongnts r:fvehrcity and accelerarir:n at I * 2 in the c{,irection i * z:.r 2fr. . (07 Marks)

c. Fir:d the angle between the nontals to the surl'aces x'/ * za at, (1, l, l) ar:d (3, 3, -3).(07 Markr)

b. Iinilth* div f,' andcwl li whsre F *. V (*'* I t i *3xy4.-|o. i{' v = 2xy i +:*'y j -3ayz[ is solenoidal at (1, l, I ), find a.

5 a. Ilincl the uufit nor*ral vector to the surlace xy "f"x -r- ?-x * 3 at (1, l, 1).

I ofZ

Page 2: 4th semester Civil Engineering (2010 - May) Question Papers

':,8@Erffir.:

\

b. Fihd the ponstants .a,, ,b,, .c' such,thatthe vector 1ield(Siny+'64 i +ftx'Cosy+z) i *(*+cy) k

is inotational. Also find the scalar,field:$ such *hat ;= V0,

Prove that V2 6lo9 ,) = j,- whcre i = *i + yj+ z[ ancl , l*lr, -;x:fYJ+zKanot=,ltl.

I;ind lht: Laplac* tr:rms{brm of $in 2t Sin 3t,

Find Ll(l:-9llI tJt

Find L[e-'(3 Sinh Zr - 2 Cosh 3r)J. ,

lrincl the Laplace rrarmforrn of f,(t) *{/, when 0 < t <.}..

ll when t>7,

Evaluate- f Ha, using Lapiace transform.Jot,,..,,,find,the inv,uma:,Lffiace.transfoflfi o.g i:, . --rl,i,;*-,. .

,., .,i -

i.", i , :.,.-.-:^* -- (s, +3s,+.2)(s+ll .

' * Ls'*ds+2sJ'i- r^, ,lll

ring L 'l togJ.L: r r"L [s*sJj

Ein<r L.,r-..*i*- I

: .' ls'(s +-sJJ't'tin* convohfiion theorem'

Solve the differential equalion y, +Zy, -vy = 6te-{using l".aplace transf'orm.

MAT}IP4OI

(s7 [Igrk$)

(S7 Mnrks)

{OS Mrrks)

(SS,fttarks)

(05*1s13;

(05rMmks)

({}$ kllrgl

.($5 Mrrk$)

(05 M*rks)

{0$ilgt.ark0

c.

6&.

b.

c.

d.

(lS,.ilI*r,ks)

rurder the condition y (0) * 0 * y,(0)(I0 Mark*)

1 ,,J:,')1, VL L

Page 3: 4th semester Civil Engineering (2010 - May) Question Papers

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b

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Fourth $ermsst*x" B"E. Ilngrtlo Ex*natnation, Mtry/Juns 2&[0Wwfi $d$ mg Swrxstru*tiort

'I'irne: 3 hrs. Max- Marks:100

F{oto: Answer errt fIY&fwll:.questions, choosing atleast TWD/fl rdr.$rir)rr,f, fro rn s#c h' 11 fl fr,

flAs'.}:""e

&. l,ist l}te r:bjeuts; of firundirlions, (04 tuarks)

b. tilith th$ h*lp of neat sketch, cxpiain the plate ioad test method of determining the bearingc&pacity of *oii

c. illassify thc dillbrellt typss ol pil*s basecl on iunntionii.

Explain the typ*s *f stcme m&sonry, u$ing neat sk.etohes.

Detine Linlei, Chqija and llalcerny with sketches.Whal do you mean by shoring and scn(Solding?

beariug plates, purling and looi covering, Name all the parts.bxplaln cerantrc lloonng.Write a nute nn weather proof coursc for R.C.C rocf slab.

P.A&T. &

Sket.ch * fully panell*el door inoluding the fiftme and name all parts.l.,ist dilTerent ffi*s of r,vindor,q's. Explain any two.[,ist rJii]'er*nl. tySrus *f'stairs and rxplriin m.ir two.

tixplaiu the i:rocedure of plastering using oe.mcnt morter.IJxplain eonstituents of paint and list ttre typcs of paint.

Witli u nea[ sketches, discus.s the features of Hnglish and Flemish Bond in brick ma.sorry.

(10 Marks)(06 h{rrks)

(10 Mrrksi(05 Marks)

{Sd Marks)

(0a Marks)

(10 Markc)

(05 h{aricl}(05lllrrks)

(I0 Marks)(05 Marks)({}5 Mrrk)

I

(10 M*rks)(10 klark)

a-t

b.

b.o.

q

k

c.

Writt short nol*s on : i.) lteiriiorcerl Brick work ii) l"Iollow block construction. (05 Merks)

Wirnt *rr:e tire classi.fication$ oF Arch accorcling to shape? Explain them in brief, (I0 Marks)

With the help *I n$ilt skctchcs, $f king post and steel roof tnrs$ (half pofiion) indicating

it. Write * txi*{'n*t* il.fi sest *l1(otive building materials. (t0 Marks)b. St-tto the arivantiiges and disilcivantages t:f st*i:iliz*d hlocks, preca$t doors and precast ra*lfs.

{1S Marlu)

a. Why fbnrr work is neccssnry? Bxplain *uttering cierails of a R.C.C beam and slab f'l<lor.

flt) Mrrks)b. Writo l} n$ls $n :

i) slip funning ii) l)amp proof construction. (r0 Marks)

Page 4: 4th semester Civil Engineering (2010 - May) Question Papers

L$N ]il] J--]$scv43

Fourth Scmester B.ts. Segre* f{xnmination, }/Iay/June 20.10

Structural AnalYsis - I'l-ime: 3 hrs. Max. Marks:100

Notcriy;Ti::i*rffi;:;,1ff "*ns'setestins*tteastrwo

PAR"T - ADisting"uish Setween the staticaliy ffiI.* structures 'axd statically indetern:dnate

strusture$, with exeunpk:s. {06 Marks)

An*lyze tire rruss shown in fig. Ql(b) hy the nrethod ofjoints. Inr{icate the nremberfcrrces

on a llc{rt sketch oj'the tntss. (14 M*rls)

rig;Q1(b)

&. Dstrnnine the slope aud deflection at the lree end oJ the cantilever bearn showr in(10 Msrks)fig,Q.Z(a), by rnor:,rent a.rea methorl. Take HI = 4000 kN m2.

* loHd EI"ll5}-tl

Fig.Q2(a) _jNB

A bearrr AB ald sp.m 6m carries a point loarl of 45kN at a distance of 4m {rorn the left end

A. Finrt i) the siopc at A ii) the defleetion under the load iii) the section where the

deflection is maximum and iv) rnaxinrum deflection.

T*ke [ * 200kN/nrm2 and I * 8.3?'5 , 107 m#. adopt coqjugate beam method. (10 Marks)

With usual ncrtations, show that the strain snergy storecl due to bending is given Uy fS $.'J}Er(06 Marks)

h. Finci th* rJefjsction rinder the concentrated ioacl, using bearn energy melhod, fi:r the beam' nhowlr in fig. Q3(b). As*ume [ * 200kNI**', I * i x 107 mma. (l{ Ivtsrks)

\knd .

$ig.Q3(b) ^t]n*reie r* 5+*-...*t;--*Q{2--q

I;'ind thc verticai anrl horizor:tal eieflectir:rn.s of the joint Cl of the loaded kus$, shown in hg.Q+.

T'he cross * s*ctional arens clf the memhers CD and DE are eaoh 2500mm2 and those of the

other members ar,l each l250mrrr2. Tuk* [ * 200kN/mrn2 (20 Marls)

I:ig.Q4

Eor+t

il.

b.

b.

a.

a)()

<)

s.sl

(l

i(,q)

{\td.)

noHo!

io i'trop

((<f

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c.Y?, -.:o4ad

Au(;o

.r .."(]>e(ia,=

"(,(6

"f,oo!

,CIc. c!Fo.5(g

eesr(d5u5r.&

t- {}:: .I]

ot) :ao0

:oxLci'u{,- rv

;o,Z

?(:

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-TI of 2

Page 5: 4th semester Civil Engineering (2010 - May) Question Papers

0scv43

nAel : e

a" A tlrrec hingecl parabOlic arch has a span r:f 20r:r ancl rise of 5nr. it carries a unifbrnrlytiistributed loaci o1'25lc}'{/rn over the.teit trarof the span and a point loacl of lzgkN at Srnfionr the right e*d. I:'ind the bencring momenr, norniar ihrust r"d ;;;r -rr#*ffi;#;;j

?L' Determine tlte reacrion componenq i1 the proppeil cantilever shown in fig. Q6{a). HI isconstanl th*:ugfuout. use trre rnethod of consrsrciri defbnrration.

,30hN 'rrrl*t'ull' (l{} Mnrks)

I;is.ei:r(a j fi,^- -.*.** ---*-A*ak* **.=.?.-^ "_.*k*"-L. f ,,., -_" ."...-.-.ffFh' A;:r<>ppcrl r:nntilc'vur healn ul'.tpiut 4rn is sutrjected tr: unifbrmly cli.srributeclJoad erf intens:ityi0kN/nr tlrrougltoul th* s;:al. Arralyze th* lream by stri.rin energiy nretirrxj. Aiso dralv

'he BMdiagrirnt.

(I{i Marks)

b. A cahle o1'spa:r 20ln and clip 4rn carrieswhels: spiir:. FincJ i) ma.xinrr.un tension iniii) rJrc Iongth ol.the cable.

b. A.rwci hingeci ;:im:.br:li*;u.clr *I'span 2(Jm anclol'S0kN/rr. on th* l*Ji h*ll.at th* span. Iiinciand ar*oun| rif' rnfi,xiurr*r: bendintr; illorne]fl .

Anall'ze the contintxtus trearn "shttwn in fig. Q7, by using thrce rnoment equation ancl draw thebe[diflg mt]ntt:ttl- tliftp,rtrn. a \"'1 '-'7 "-""er r"rv] drl(/*rrlrrr uLllr(

:* xulJ* (?o Marks)

-ili'rg,()/ r I

k**-*{r* ***-i[ +*{

a uni{cmnty cjisrribured toaci oI z0kN/rrl'lff:tlthe cable ii) minirnum tension in tho cable

(i)8 Marks]

ris* 4m carries an uniforn:rly rtisfi"ibuted loacjthe renction.r at the supporls *nd th* position

(tr{i Mark.e)

a' show that jhr a tr'v* JLirgecl par;rbolir: arch of unilbnn flexural rigidity, the lrorizo*tal thrust

at eaoh supporr is givcrr bv r"t == ft]IJ1Jl'au (It Marks)

/. OI .!-

Page 6: 4th semester Civil Engineering (2010 - May) Question Papers

u,9..)OJ

.?E(q

-t,{)6,{)L

t!-_y/(5 L'

:h

to"dcfr.- -t..E .'.rff, \tc^igii

-9()

O;

std*15udcO'(,bJ) c.9(c/N

t,d.,i

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$"

*6CV 44

Iromrth Sem*ster B.m. Ilegrec Exarnimation, M*y/Juns 2010

Survmying * [["lirne: li l'rrs Max. Mar:ks:100

Not*: Aruswer $ny f {Vil full questions,-s*lectingn/ Ieas't I,WO rJr*usfirrus fro* eaeh part.

FART * /t

I a. flxplain thc measurement of horizontal angles by the rnethod of repetitions with thenec*ssj;rr,v! st.andard tal:r.rlar fbrmat. lvlcntion thr: errors elirninated. (10 Marks)

h. ISxplain the temporary arljustments o{-a t}reodolite. (10 Mar,ks)

il. I.,isr []rc orcler ir: wh,ich permaneni adjustrnent$ of a thecldolite shouid be made to prevent thedisturbance of earl ier adj ustments. (05 &lxrks)Explain the 'TWO * PES THS:I" with relerence to pennanent adjustments of a ehnnpy level.

I'ixplnin the ari.iustrn*nt *f l:nrizonta{ axis of a tr:ansit theo<iolite hy the 'SI}iRE Tpd[':.*'oo*)(10 Marks)

3 a. in or<ler tc asctfiain the eleviltiort oJ. the top of a signal (Q) on a hiil, the obsen ations werent{de tion: two stations P and It at a horizontai distanc.s 100.00 m apart, the stations 'll' and'R'Lteing in linervith "Q'.'Ihe engle of. elevation af Q frorn'F'and'R'were 28o42'and1S"06'respectively. 'I-he stafJ'reading on bench mark (I{1. * 287.280 m) were 2.870 m and3.750 m respectively tiorn 'P' and 'R' with tclescope ho-rjzontal, Deternrine the elev*tion of{bot o1'thc signal ilthe heigirl atrovc its hase is 3,0 ur. (10 Marks)

b. Iirorn lhe ends of a base line AB 150 m long two points P anci Q werc ohserved ivith the. fteodolite and the f{)llowing angles rvcre recordeci :

[-:nis." $$" , [g}ln *' 40o

lSnU =, 50", [!BA =" 7Bo , [ae * 45' , vcrrical anglc {iorn A

tn thc. tr:p oJ' P : 23o, vertical angle frorn A [o t]re top of Q * i 90. Back sight onRM (.[fL : l5?.000rn) tlonr A *' 1.600 nr (u.ith telescope horizontal). Compute RL of P and

Q nnci horizonta.l distancc b{:tws$fl P and Q. Aisci find the graciierrt trstween P anrl Qi(lil Markr)

il- A {lxesl hair tiichcclmetsr titted w'ith analiactic lens was set up at a staticrn 'D' with ther' olli:wi ng rirsrsrv iliion:; :

$*]Inpeslinmln)0.800, 1.855, 2,gl}

"-. [ 1::_:]- l-1 1:Ii_. l- I

70t'30' 0.660, 2.2*$,3.74A

| \,r-r.rl,ut.rru utu l$ii:iuivilt ttullt tt tU r.t. (10 Marks)D' 'l'wo vertical u:rgk:s to van$ii fixed at I rn and 3 m above tlic for:t of tire stafl'held verticallyirl: a statioll 'A' wore"i- 2''30' and"l 5"r.18' respec.tively. Find tire horizon1ri clistance and R.L.ilf 'A'. R.L *{'horixontai axis of instrument is 438.550 rn above t}re riaturn" If any equation isused clerive the same" (10 M*rkc)

I of 2

Page 7: 4th semester Civil Engineering (2010 - May) Question Papers

/

5

06cv44

I}ART.". X}

a. l-)erive the expr*ssions fbr the fcrllowing elernenls of a sinlple curve :

i) Leugth of rhe curveii) Tangenr lengtJiiii) l,ength uf the long chorclir') r{pex dist*nce.

{rt} Marks)b' 'l'wtl lansents intersect at ilr cha.inage o{' ll90 rn. I}eflection angie *f sir:rple curvs is j6,i.Compute all the data nec*ssary for seftling oilt a simple curve of i.aclius 300 m by Ratrkine,sdcllec{ion angl* methori" 'I'nke peg interv&i o{'30 m" Tabulate lhe results s]rowing de.flectionangtr* to be set in a 2{}" lheoclCIlitr:. (10 Marks)

a' l'wo straigh.ts AB and B{-l ale intersscteci by a line KM. UUKA=" l40n anct I.I{MC* 145,,.'i:he rariius of: the first arc is 600 m anel that of sosond arc is 400 n:" Irind the chainage ,ftamgent p<:ints and pr:int of compound curwature given th.at the *hainagc of poilr ofintersection'll'is34lS ur. (I0Marrur)b' 'l"he first hranch tll a rcverse curv(: lras a radius cI'200 rn. Find thc raclius of,sec'nd hranchso that the curve.cal) corulect parall*l st'raights 18 m aparJ.The distance between t*"g;tpoints is to bc 110 m, Also calcirlate the tenfrns ortr,o b,arrrr-- rr}r-i,,r.,.. (r0 Marks)

a' l'xptain h*",,r the length r:l'' tlte rransition curve ran br: cornputecl tbrrn i) 'l'ime r*rt., ; ii) Rateol^clrmgc oirirdiiil i*i;csleration. ' /

(l{} Markr)b' With nent sk*tches, disti:ngtuish betrve*n sumrnit cu{rles aricl valtrey curves. {0s hlarks}c' A vertical clrrvc has an upgraclc oi'2.5 % tbllowetl by a dorvng*d. g.S;i.:Ihe recommenrjedre$e of oitange oI grade is 0.l5oZ per chain of 20r:r. Conipute the length of rhe vertical cilrve.

(t)5 Markr)

given below.(10 M*rks)

8 a. T'ho lrrtittrdes and dcpartures of'tl:e lin*s o1'a ck:secl traverse AIICDA arecorni:r"rt* the area of tr:averss by indepentient so*ordinate msthod.

A roird en:hankment is 30 ln rvide at the lnp wirl: side skrpes of ?: L T,he ground levels atI00 m int*rvals ak:ng a line A.l3 zu'e as under: A, 170.30, tdq.t0, 16g.50, td.tO, I6d.50, B."i''h* it:rmatir:n level at 'A' is 178.70 rrr with unif'onr: failing grariient,of I in 50 fionr ,A, te"B'' I)ctcnnine tite uolume a{'eiul.hquiikc by prismtiidal fbilula. Assume the ground t' belevei in crns* section' (rt) Marlsi

DA l-22r.40

'2of2

Page 8: 4th semester Civil Engineering (2010 - May) Question Papers

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f,i'orlrth $exuester B.,IL" X)cgnne sxnnrination, May/June 2010

&{ydnauxlics an?d b*ydrautrle Machines

lvla.x. fularks:l0l)Notr.:: Answer omy J;I[r'S .fu{l qaestietns, se{ecting

n$ Ja$sd 'f'Wfi rllr*sci*rms from *ach prrt-

PAlt'[" * AI rr" I.)eri.r* l.he Chezy's equation fbr u.nilirrin {low in an open chi}nnel. l.,ist thc assun:ptiorrs

marle in cleriving t-he sirme. tr{ence estal:iish a relatir:n bctwccn Mzurn.ing's n and C]rezy's O.(10 M*rks)

b. A trapezoirJal chxtnel with siile sir:pes r:f'0.5 I-l : I V is ti: be desigrred ius the most efttcient

ch*n1*l ro carry 30 ml,/sec cli"schar6le at a slope nl' 0.CI00556. I.Jsing Chezy's C as $0.(.lt) lVlarks)

Z a. Define thr: term sp*citic energiy. With a neat $ketch, exp).ain specilic eneqry <liagrarn' Derive

ih* li;rnmlae Ji:r critical rlepth and rnininrum specifio energy fnr critical ll*rv in a rectangrrlar

cJrannel. {10 M*rks)

h. Watsr fl1rrvs a[ * rali: oJ'' J rl cuit]ecs Lhrough ;l 6 rn u,"id* rectangular ch.annel, clepth <ll {Jr:w

Lroisg 400 r:rnr, Jligd out ii'a hyclraulic.iurn.p will occur flnd iI yes, rvhat is ths depth atter thc

jump'l ilak:ulate thc k:ss tl{'energy tluc to th* jurnp. (10 Mnrkr)

3 u^ A hyclra'u.li* pi.pr:li.ne 2 hn lr:ng aircl 400 mm diametcr is used 'to ctlnvey \#ater with a

voli,city of l.S"nr/s. I)*:t*rruine ih* pr***urs rise if thc valvc provided at tlre outlet end is

cfiissci i.rr (i) i2 secr:nds (ii) 2 seconds. Consider the pipe to be rigid and t&ke bulk modulus

of wrttcr K*rou,, '-' 20 x I0$ Nlnr2.b" Pn':vo that lho d"ischar";1e over a spiilu'a;' is giverr by the rtlatipn:

{I.$ Mnrlts)

{}rrr:at ; }'{ : head r l'r.vater . S ''" acceleration(I0 Marks)

u'- un"i 'rtib ' 5t l, v [i.j

rvllere, V .. rreiocity i:1. ftrou, ; I) -, depth at the

duc tr: gravity.

4 a, D*rive tlre cql"ration lbr the *,ork dene by a jot on a m*vittg slqnmeh'ioal cu:vecl varle and thc

.ied strihing *t ttre centre. (10 Marks)

b. A srlunre plate weighirrg 120 N has *n edlt$ of 350 nin. 'I'lte thickness o{r the plate is

r"rnito.rrn. It is irr-urg st.: that. it carr swir:g freely about the upper: horizontal edgc. A horiz.ontal

jet r:{'25 rnm ciiuuret*r iuvirr& I B m/s velncity impinge.s on the plate. 'Ihe ce*tre iine ol jet is?(.Xl xrm L,CIlnvi, thc upper cdge nf platc. Firrd rvhat ft:rc* must bt: applied at the lower edge i:1'

1:laLe in r:rd*r tr: k*cp it verLical.

I)AR."U * 13

5 l. W"hat *r* furbines? I)iscuss in detail the clas.sification of turbines.

b. A p*lton whrlui hns to dr:vclop 1320{) KW u.:rdcl a net head of 820 rn whilespi:** r:i'6{}0 rprlr. l{. t}:c cr:cJ-{rr"'.icn1 ol'' iet Cv "": 0,$&, sp*r:cl ratio $ '"' $.^{$

diam*ter is .,1." rii'whc<:l diameter, caluulate:l6

i) Pitcl: circle diameteriii) 't'he quantity oJ rvn.t*r supplieci to the wheel,{ssumr: i:v*rnll olficier:cv as 8.5%.

(1$ Markr)

(10 ivtarks)

ntnning at eand the .jet

ii) T'he di*meter of the jetiv) 'Ihe nurnber ofjr:ts required.

(10 Mark.q)

I of'2

Page 9: 4th semester Civil Engineering (2010 - May) Question Papers

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s#cv45

a' ffil:

neat sketch of velocity triangles, derive rhc equarion for efficieucy oI.a Francisb' An inward fJow rvarer turbine has blades, th*, iru er an<i outer r:adii of which ,* Ji'#'fi50 crn respectively' water onttrs th- ;i;il u,,or*'o**r.periphertrr *{t}r avelooit, of 4sm/sec r"rraking an angle of 25u with,rr- i-re-;*;;th". wheel at the inlet tip. water.,leaves thehlade with a llow velocity of '8,n/r*;. if t'fr;'b}J-'-,rgl-$ at i,nlet a*d outlet are 35o anrl 25or*spectively. dctem:rine :

i) Spcecl of the tur$ine wheelii) Work cione per Ne\vton of water"(10 &Irrtrs)

a' with a neat sketch, t*pJtin the ee*11al layor"rt oi'a.hydroeiectric power plant. (10 Merks)b' IJxplain the tenns 'p**ifi" sp*e? and unit quantiti.s, * applied to hydraulic turbines. Howare they usefirl to practical engineers?c. Sr^rggesr a suitable rype of totin* ro clc.v,eloq g000 kW power under a head

"f ,JrLTffi:operaring *t zz0 r:pm. whff are lhe consideratj*", ror":,o,i"*ieJ;iiir" "

(0d Mrrks)

'tL' whar is a cr:xirrrirug"l]ruilpJ Hxprain its worrring, with & nsat sketch.b' Determine the overalf eruiitgr-i or, ..nt inili;,ffi ffiil fbuo*r*g **, ,"r*lil,Marks)Suction,gauge reading * f ZO:n'*,uf **r.u.,uelivery gauge rea<lrng = 220 [N/m2Fleight ol'delivery goug" over suction gauge = 200 mrnDischarge,= 7500 /pn: of,water P---c'v ewv r*'iDiameter of suetion pi.pe * 300 rnrxl)ianreter of cieiiverf p;;- = tdil;Power of rn.tor'- 40 i(w.

(I0 Marks)

*$rl **

2 ofZ

Page 10: 4th semester Civil Engineering (2010 - May) Question Papers

r r --T -,*l*-.l- i -j i r-*,usN L l- l- - r r-- r- i-*l I J o6cv46

tsour"th Sern*stcr II.H. $*gree Sxarnination, May/June 201,0

ffira$tding Fler*m$mg mmd Sr*wlmg

l'i.rns: 4 hrs. Max. Marks:100

b.

c.

d,

0'J'55N!

'L:5q(;

-o

aJ

'il3xjv_

rdu.:lr,\!\- ".tr "=09

I ofi

oc

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*!6JC6r

d.d-ta A"o>P2(oJ-

a(} el'r, i-

v)*':: c'tJ a)C--

o'-O .i

1/;oL:

l-: llI :-'A+bloti bt{J=

=6J.:oL .-

v'i

ari

I

')'/-..

eUL

Note: I" $r:r*'#on No.l from }?{R?:/ is cornpuls*ry-2- .4n*.wsr $ny f$yg qusstiansfrom PART-B.

I}AR'tr.* Al}'nw'the plar:, elel'ati.on and. seoti$nal elevation for the line dirgraln of tleir: Irig.Q I " A lso w:it.e the scheduie o f'npen.ings.]?tr ar: of' the irui lcling.Blevatieln^Sec.tir:n alongA" A.Schedule of openings.

huilding shown

(25 Marks)(15 Marks)(15 hlarks)(05 fftrarks)

rIART -.- $Draw a plan anil sectional elevation of a IIC.C doglegged staircase . F'li:or: to floor height is3 r:n. Wid{.h o:l'tlre $tajrs is 1.2 rn. Adopt riser ancl tread l5 cm an,d 30 cm r:espectivr:ly.

{I0 &lnrks)tr)raw l.* a suita.hk: scale. th* section and elevation of a li*ly paneled clotrble shuttered d*or.

{I0 Marku)

Prepare a bubble diagram a.rrd develop a line diagram for a primary school building, with astrength of 200 studcnts, with the foliowing rcquircurents:i) {"llass ror}m.i fur 4t} stuclents cac}r.ii) l{t:ud lnastsr's ror;miii) 0fflce roorniv) Stall'roornv) Spr:rfs r()omvi) Science hallvii) Lil:raryviii) ll oilet for bofl rind girl$ (separate ly,)

Frepare *bublile.diagraun and c{eveiop er line diagramI"bI I r:wing req ui rements :

i) Doctor's r:otsultirrg roorn (with attacired toilet)i,) tlirst aid rlom / treatment roonriii) Nurse rosrfliv) M*dieal sti:rev) i,ahorntory

:

vi) Stor* ruonrvii) 'l"ciilet [:lo*k f"r:r rnen and womet (separate]y)

Prcpar:e the waterr suppl-y and saniLiry loyout for a resiclential bui,lcling,r,c,ith suitsble n*tali *ns.

(pil Marlis)

fbr a prinrary hea.lth centre, with the

{20lllarkr}.l

shown in Fig.Q4,(2(} M*rks)

l of?-

Page 11: 4th semester Civil Engineering (2010 - May) Question Papers

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?.'orn )rr,.f,m

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