4th semester civil engineering (2010 - may) question papers
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Irourth $cmester B,m. D*gree }trxamixrrt'i,on, May/-Iune 20,10
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Max. Marks:100
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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 = * ,
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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).
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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,;*-,. .
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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.
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06cv42
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.$rir)rr,f, fro rn s#c h' 11 fl fr,
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&. l,ist l}te r:bjeuts; of firundirlions, (04 tuarks)
b. tilith th$ 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$ing neat sk.etohes.
Detine Linlei, Chqija and llalcerny with sketches.Whal do you mean by shoring and scn(Solding?
beariug plates, purling and looi covering, Name all the parts.bxplaln cerantrc lloonng.Write a nute nn weather proof coursc for R.C.C rocf slab.
P.A&T. &
Sket.ch * fully panell*el door inoluding the fiftme and name all parts.l.,ist dilTerent ffi*s of r,vindor,q's. Explain any two.[,ist rJii]'er*nl. tySrus *f'stairs and rxplriin m.ir two.
tixplaiu the i:rocedure of plastering using oe.mcnt morter.IJxplain eonstituents of paint and list ttre typcs of paint.
Witli u nea[ sketches, discus.s the features of Hnglish and Flemish Bond in brick ma.sorry.
(10 Marks)(06 h{rrks)
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Writt short nol*s on : i.) lteiriiorcerl Brick work ii) l"Iollow block construction. (05 Merks)
Wirnt *rr:e tire classi.fication$ 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 $n :
i) slip funning ii) l)amp proof construction. (r0 Marks)
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Fourth Scmester B.ts. Segre* f{xnmination, }/Iay/June 20.10
Structural AnalYsis - I'l-ime: 3 hrs. Max. Marks:100
Notcriy;Ti::i*rffi;:;,1ff "*ns'setestins*tteastrwo
PAR"T - ADisting"uish Setween the staticaliy ffiI.* structures 'axd statically indetern:dnate
strusture$, 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.
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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)
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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
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(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(
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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)
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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:; :
$*]Inpeslinmln)0.800, 1.855, 2,gl}
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70t'30' 0.660, 2.2*$,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)
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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
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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:
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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.
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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
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s#cv45
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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)
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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
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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
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shown in Fig.Q4,(2(} M*rks)
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