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4th semester Civil Engineering (2009-July) Question Papers
 

4th semester Civil Engineering (2009-July) Question Papers

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    4th semester Civil Engineering (2009-July) Question Papers 4th semester Civil Engineering (2009-July) Question Papers Document Transcript

    • II usN tlscv4? i__l:i--t _ F*xx.{fu $ *rxremt* N- 13. $il. $}*gr*e II N*r xmim *fi*nr, *Tlr n **^*.u,ly I {}fi g ffi q* $$N$rxg ffimffi s*r$^qm$fi qpxx Tirnr: "l hr"s. &{ax. Mar:ks;1{}{} Nr**s;,I"" .z{rrsn sr any IUyfi -fwttq*uc"*l.i*rn,1 sy scJ*c/fng { rrf Jeasf frvn rprrcrsr*rr*rs/rclrm e#c* p*it, ?" ,,$.rxe*plec wrfsufrg rS*Sr* srxfr*r&/y. Xr*f,S:e ie trVll*{ nrr: []ie r*tuil,Ernentr* r:f. * g**d ft:u:rdi*tion? {{}4 hlarks} o Discuris tlle v*rrious mc:thods o{irnprerving t}w t r;*ring c;*prilcity *fs*i,ls. {{}6 n}xrk*} l- lle*ign * r**tung,uinr cumt>ined. fi:*tir:g ftir coiu::*ns A and B spaceei at 32.0$ mm c/c fr,lr the {<lllouin61 riata: (;ohxn* ; . I30xxl5{.}u:r:: , c&r}i*"r lln axi.au] i**d i?{)i} kii" (;olur:x: t} : ?.30x$S0mm, r.*rrir:s;rn axial l*atl l*0S kN, Rrrslri*t &e widrll of l.*i:ring {.n 1i.00 mrm. $BC *t sfiil is lst) kl,j/m? {,I.{}l!*arks} what is bE:nding ii: hric,kw*rkl t/lrtt are th* e*nsicl*rntir:ns to l:r *n.sursd ft:rr g**rl i:londi*g1 {(}{r i?larks} l-)rsti*guisii ir(iw*r:n ll.*qiisli }-i*nd ;r*r:i f:li:nrish hrirrrj" t-. . {t}4 [,1*rks] fhem witi: sket*hes. {t{l itxaykx} _r d. DelinescafYolding and rnentit:n its,cornpon*nt par1s. {{}5 It$xrkx} ir. Dcfinc unCerpinning xnd lner*i*n sorne rlth* situali*ns whi*ft rjemand uncler.pinlling, f )clinc: itn atch- fu{eutlor: i}:c vari*r.r$ {05 Mxrkrl *$rnp$}}{:r}t.n ris*ri rvitS n*r*{, skel;*llr;s^ it{} lVf*rks) 4S. {-li:rpet* tire $dvarriag*s; l*rrcl cli:ii:r1var:l:lgr:s *{ll;rt :r:*[is ov*r p:it*h*ri ! r. r6of,s. {11 kr*rk*} :, t) t-l ! { I{} h.{*rtrr_r} $)rtr{*S i:i [;i:sii1n ;r iJl>g ieSlg*rJ stsir *as* ft:r a *rsir.s: ?.Sfirxs.Sln Jrrr a {k:rr h*ig}:t ,of3"i} m" "iir*, I)rarv a l:cat slt*lch *Ipl*rr and **r:ti*nal. *k:v*Ii*n of a i- wr"ile l:r ir:115 {}ll iu}Y lwo E:l rlr* fnllowing. ,vitlr stair" {i*, M*rks} tre*t sketchcs: i) p**e ii; ( r:ilapsible i-1al.r* iiii iittv .vir;rii:;v ir,) {.1*r:r:er wi*rJ<rw v) V*nli}at*r. Iled door {r$ t11$nrtr.s} :i. iir;rt ari: r.it* icquir*rnr:n{.s *i,;r g***{ J:l*uk::i1) b i)escril:c ri:c ;:r*ui:r.llu* {eir urrr.vi*1t t_rut t:i:* piils.tcr.ing {{}r{ &tark,ti with i1m* 0r *em*nl, nr*rku in lwci Li liiil--i. il. i:r:iliain r-lrr--. prr:ccrlrrrc rrf y:aii:tir:g lilr iri.rn anrj strrr:i r*ru.f ac*s. {l$ Mxrk*} {r}6 h{**"ks} Writc shlrt r_x.)I{:s fit}: ir. iilillurv cE.*icrr:ir* llltc.ks. 0. urbiiir*r,1 r:::url hkr*ir_.;. il. Ilrecast r"r:r ling *i*rn*r.l{s. (?{i &*xrkr} tirurn a , i h fitat is tlirlnp pr*ui"-*t>u:rs*? }:)x;:X*jn its ner;sssity in rr b.*ilding, {t{iMxrks} Lr. wtrat ir* {irc rr:rluirsrn*nls c:1, irl.:al r:ral*r:ii:r} fi:r rjnrn.p p,,*ot,n[i i{}s l}-{*rtar} ;;; ;ffi;
    • t.- t- r "* j - {J$JN llltl llill t}sucss (.-.-.--.. r..-,...-.-..L-_-.-_.f _-.........^l,",.- Fi*,]*trx S* $**r s$ * Sl x*mrl.mg ti{r ll, n}:r} m*-Ju!3, 2#{}P trrfi.fr $B ils mf ffiruTffiS flL$r fut*x. h,iarks:l0i) I *t* : .f ,,2{ *s w.,sr {}.r?-p F"r $,ff ./i.r r { r4 * * s t i rtrc,s, .r c/.crcf*s rsr feirsr TW{} rytrrssrnnspsrl errs.dl;:*rf. J";?fr-lxmg, d*t*. n,rr{rj $e $,^Lrr{rfferf s**ir*s{p,. $1,*,{$..$_;:* " h [][tttis an nM(]S transistor fahricril*ci Iixplain with -"""T-" ireat sJ<*tchcs. rn$ c Wl:*t ix i: tvisii*t* iii,**rr*r1) I:.xplair), lil [|]:nl {$.} i},tark*} a t)*rir* f ilc tha.a*tcris{.ic:; girripirir:al{1,. {rlrn i:-d*vi*e .t ri-<jcvir:t: l^ir: un4{)s^inv*ri"er .*h;u"ac.t*ri s li,;s ar:rci sh*.w li rip* ri.rti * g re g i*nti. u b. wirat is it n*ise *:;uxi:1f obtrrinJn*"va.rue,s r:f v:11., v*r, vs)L & v*u n-J--;,[THl ur}:;lracti*ris I ics n {, * tlpi cal, in,,r*rt*r. c Whi:t is iu""hl*st.tj dcsigrr/ -vir*r. i:lrirr IJle rrierits *n6 <l*:,*rits,1 {{}(i hlxrks) ! Mxrksi {{}":X {: rJ{ . l: {"}hiain thr:: sti*l< iiia,glr;xi:;lrtii {{ifi l}t:rriirsI lir1,,r.rLrL *f i.i twt:".r.lnv lss:lt:Ilcr.r,viIh t:r:;l]-ri*. C, {{}ti &,tnrlisi -r .: .. (:. i*1tuit:,; r:! {,h{{}$ ,"ir:nriiri: l*1ri*,} }rxph*n r.v!r}: {{J$ il{x v"lir:i i-. .t./. J:]:i:.:::f1 jr{:rrrx,: }ir}r}rll ril):.;rir;}[{"){: lLlrrJ sl;iirdirrq.l iinil r;l"crrlriluitarru* n*i,rr rii**.ra:trs, {t}$ i}lsrkri l-;{.J,r. {"laiur"r}at* t}rs i}N:r*si.rtirxl*r: i*i: ngr*s inv*r!*r rvitil }to,* tOtf*, Zpr,= 4 & r.il:;iiir: tiri: i:x1:re:..siC,n ir:n loti:l r.k:.i;*-v /,ps* l. {{}* M*rks} {or N stag*l* r)tr ru*rus & crnus invertrlrs in terms *{ -{"*}f,{-;;.ii i{}$ &t*rk*} 5 Vltiit llui: iire,: i;r::;1jjj1g, iiri:l*ri: {i:r- : {j*l* ,;i;;:i,r*,iigu:**: {.:rr $;lilx $pr{:rfttin& .ii.*qu*ncy f;, Cllrrr;rii d*rrsrty "l j,nr>wor. ip__* h *rIi"l;lr*rr pruclucr P,r. ,1l;131a5; Iirr: pit:3tr:rlir;:s {:{n.r*r:sxxi p;r:*s i;rvitc}rls,/ {{tS },.Ji:l+ is tlausrrri:;si*n gi:t<: *.sr:J rr l:: {i*t*rt i}:* ii.:riii: ir"r:1:ii:iir**ii.tilr,r irr;r rl.-*.,i;rri lrr*iriplrxer {tXi tut*rkxt il*tnH rllllil$ tilr,itclr*:i. {{iri ittar*a.r} {.; {} , I.iri:v.th* l:flsit: *,lft tc,{,o*p}1;*l;* *l**k gc..ftvr;rtr:r"iurd cxi:lairr. fi-,y3;1 ii. il*w I* irr:plur*;r.r. ;rritJ:r*t:tir ;,rriii rt>fiir.: ,.p:r,r*lirnr; r.vitir i{)T hiru,t<sp ;i liLl:rtr.inr,J lletir:ri Ll,<plilirr rvi tii i:r: i ii:I 1l ti[ Iop,ir u:; r i.]j"rjs...;()i)(:. C l.:x,p{a.ir: slrui:tru"r.,r{ ri*sii;:,* ;rp;:r*;i*I:i i{i$ 5""** ir-rr ll.;:;,rrit3, g*.lr*rtt*r {fiT hd*rt*si I lL, l*,, ,:;l t i s s {}-L}*tr**il el*si g* pr:ur:e* s./ i::,u; pi ;li*, h H. lurl lrr"i: th r:, *.r, s l.* *r linl {i.}{f i{*rks} g *.: nsi<l t:ril li*rrs,J in Shilri" litt Jitltr::it:nil;il ,,fa iin;{ir: trilri:iirir.{ir ri.+nari:ir incrrrc.*r.v r;,ali" {,{Ki $.terke} {t}S Mxriit} wr i1i: si-r*ri Jlil*t) {ii":; i r. i I il l.,lj;t.r.i:,^ t-" J*:si t--? a.ncl i*s{ahiiil rr (:. I::sr:iliJ.0n]t:{:s l*g ic d l]i-i:r:iir:s i*g.ic. i(+kr.xra (?{} IVlarksi
    • {}{i{-)v43 $iq,$x"th Se$xx*:stex" tr$..$i" .Ilegx"ce nl,x*mx,ixlat*11n, Ju6e*J,*l-y ?q3x3$ S&wurs*,s,strffi,ff &sn,m,$Ss$s $ * Iirne : 3 hr*s. ilrl*x. h{arks:l (}$ i{nfe : z} rt.*.lv*r *"rrl3r fff F/Ci:./i*f:f- ryt***ff*rrs .r*{eeffr*g nf fe:*sf Jry$r/d rgr*es#*rxs,/rn*r e.rx r/r p tr.i"{. ,fltlfl$". *S, ;i i")is;trr:guisll irgtwetlrt siiitit: liilrt Kin*:rrrnr"iC iii,lot*nlrimgt* $tnr$tt,r*s rvit$ +u*r*pi *t;. {{},i S:I:u"lr,*} i.:. Writ$ ll:t: rttisiu.nlrtioni; mnci* in th* u.nri.trysis oi.n Ilin.j*inf*c1 plmre (i. ir;incl t"l:r: {tiri:e,s jn u.ll nlcr^r"li:*rs r.rjlirg I}i1"joint*ci 1^rusi;, {{}4 &,lxrtsl fr:uss *li6wn in l}ig.e. l{e} by u$in$ methr}rJ uf:join1.s. {}.? h{*rku} ,i .. i l .r 1dY ft p..1."............ ,of*t .i. .{ :rrl a L LL" Stnf.r* anii *xpi*irl rnr:rnr:lr{ ilr*il tlt**l01l1ii. i)" I:incl ilrr: rJcflccti*l.l ti.t. {,r.*r: *nel *lcantiJqrver heayr: shorvn in Fig,Q.?{h) r.rsinlr m*ur*nt lur:*r rn$thod. I::i consiar"rt. {{}(r itnrk*} I I?- jcr,,r I IDHIV $- J.tr**_{, ffi frig.Q.?{b}. liind tirc defl*rti*rt r_rutl*r lI.r* c.onr":**h";i{eci lo,rd for b*am trh*wn lu lr,ig"e.?{i;}, *<lr: ji.rg*te l:ennr rrrut):ort" "l"ilj<e l: ,.?(J0 x l{irle i{lu:} "i}{ i.rsir:1{ a,reJ i ,,.:, l*} rq rri",t ,r,.. itnt o*,rlro, . *{: irt*l i _.r _*. i |trr]hrr .r! .-&."" r :r- r-.:*:"};k-x,i:.ri.:, I | ,iI. "-"-- *".]u r,"$1 d. ,l -** rl1 C;"Frl 13ig.Q,i}{rg.tY, U. li{*t* ii {.a*tig}iail(:$ ijr.sl i}t*<.rr*rri; iji ffi*rti,s I*iv. t It it*r iju^: ircr:f i.rr::ilr:rr slri;rn",rr in [:ii1,1"d].;i{1.:}. }rinrt ht:rj;ruirr;rl i{}ti ${*r{ix} x*rj ver.lrr:lii rj*.li*r:iil:.ns *t t::*:* *xd h,i strai il t:il(:)iil,}., r::r:t hr rtl t I.l lEltr.i<"r) l:lt ,u i" ,""- **: *--!lr:*--i I i rY "" i j I ":t i,., .j ; t (:.:rr l,; rJi ia.r*.t 1#Li-" t"" ,I J I .y7;*>";v Fis. Q.3{h}. j *J"?
    • *${l4} I"i*el ttr* verti*ai deflsction at oF firrjointed truss sh$wn ir,r Fig,Q.4, usiug uuit l**r] the, Pin mgtht:*. Assum* srLl$s soctionel area o{e**}r menrh*r trs I lX}0 m*nr? *rui ,H :,: }fifi {iPa" (){} tutr*rku} " lrrh. ,ll$* - 4 i ". --." "**.-*& "t. i.r i.{r j,.i. r. i I .. ;l o^ "i :..*.;;, ilig"Q"a {AST.,::-S. 3 dla r;h,*nr at..$nr {irr:r lefi end. (I$ Mrrrks] t). , titlsptlrxitln cairle l,60rn and 16nt centrai clip carries n lciarl *f lkNln"l, Calculate maximugr tensiorr ir"i {}rc cai:le. AIst fincJ th*: }t*riz*nt;r.l and vi:rrrual fcrrce* in *acli iricr il tire *,nei:trr *ahle is irtclirrcd at .J{)o tt) tilt: ht>riz*lttiil lrnrl*r rhe :full<iwimtr4 a}tr:rnativr* r:.ur:.dit,irxls. j.,.i I,tt.h* *ahle, p*r:$*$ #1,*r ki*ti*nl*s,* r.*li*rs un *r* t*gr *flli*r. ii,) Lf th* **h*e fiirxly r;iartped,trt s*eisllffi mni*d,** fiictit:rll*r;s rr":,I1*r srn tlr* t*1: +ttli* I:iir:r. tl{} &{r*rrkxi} ..{rla.l3,xet.lr* l:n:pi.icd taul{lcv,*r tieerin shr:r".n in Fig.Q.6(a) hy *r^rlrsi"stairt rixfbrmxtl*ri rn*tlrorj. AIsn :ikt:rch.f-IMI) arr*t Sl:l). {1{} tut*r^k*} t ;bS hrt J i. $. ?1 fi til _"}i* "". _" . ""r, i$ ,-. - ,qn l . f-, t., !a: aI , .f/*" " Sr f* . a{1*. ."J,.ii$d ft iiig.Q fr{hi ,4.r:*iy:** i:i:* i:*Litintltlu$ hqiirrli *h*r.vi:i in [:ig.{l}.ii arrcf dr*w i*u-nili ng mr:n:r*:rt *li ugrilr*, *hr:*r iOr,:* c.iia1ll*::r air<J i:lastr* ilL:rv{: {}{} tt{arkr} #rtl -* tu" u Ssri" i q:I srh * .i .g*.i e .. .l i furn * --w**,.-""-.-.-.ci$i*.{y: *1v,S., ,hi,r $ r")t .,frr ? nr .:M rlg.L,. i:.3. r /"" A *yln*r*trir;*l t.a,r.:-iling*ti 1*i.trah*i.ic arcl:i l.r*s ir sp;::: i:{,:"4*: ;rnr* * r:is* *f Sn:^ trffiarri*s *r"l r.rcll erl 2{}k^N,,}x ibl iihn {iuur Istj lin.nrt tupn*rt ["lrt: Ml v*r:ers a$ t.il* s*ctlrlr oftlr* sl*pil *J th* ;ri:ch axis" I)*t*r-tlrinrr t.h* hr:r"i;:tnt;li tlrrr.:;t fi.rr th* irch anEl drau, th* BMt) shor*ing the ;ra!it:*t p*i*ii; {}* Mtlrkrel :s {. **& .) t /
    • IisN i lil l!f i -. .. r...- I ........ .1".......... i I ] I I i I I I ..........-...t... ..... jtt iit ilt ili ...i.....-. ... "i.._--.... L tj #{id:Vd$,$ S)r:w t,f,Ir $}erxtes *ml" $3",$i:. Ilegne*,Hxa,nrximafi*m, _}]wxs*-I,nly 2{}{}g lime Sx,srwwy$Exry $$ * : I hrs. 5i*te: Milx. Mfirlcs: I l){l "f" ,4 rx$tr,#$" # s?# fi:tr i,"3J dT rys*cr$ {*rs*.s .l rr/ecf*r*6 csf /s$.}.f Pf/$ g r* r,.ryi* ^/p* rr r. /i.r r"*r s,i{sr"lf petrf. ? ;1di,u",*vrg dr,*{*" #,** l n{qp, *s,l,sxfg#1.}/.p r*"t:lxm*;r{ !i- al. t ) r fisrn,:n ti ili:* irrr.$/$r*n th* ii-rl h-r lv ing r** j*Uffi u, i) F;,icr: icli i::.ld lacc right *i:rscrvilti*n*r t Ilingirrg an<J :i,,x.ringirig rh* tclescope ll] rii) {"li*lnp scr*.v i*r:r,l t*::g;*ltl rrcr*rv. (&fi llf:rrksl I Hrplain r,ii* :n*:*r;r:r*nr*nr *[a tlorixr:nf*i *lrgre b], r*p*titi*n ru*trr*er, ful*nti*ii r:iiiriitxrlcrl li,i i iiis .l.t:i:i.h*c{" *l* *rnrr* i:.x;:1ii.iil ili* Lni:t]rr:ij *l tj(,} M*rksl tr:r"t:iirng;rrig, a :rtr*i;ij:t lrri* n,,,fro, rl*: irLs{luln*nt is it: 1l*t:r acl.ir:.rtrrrt:rrt. i04 tll ar^lis i ,. lvhat ar"e tit* tr]elIIlaIi*r:t atljus;trnr::nt$ oJa tJ:r:*r]olits? Lixpia,in tj:* spire test. tl "iJre {lf} Mtrrk*i {rilk:wirrg 0irs*rali*us u,*r* tak*,", *uiinrt it tir*"**rr*g *i.duuiy:y icsr. itr:itr.{rrTt(:lt iji Sitil.li reatlin;.i,, nt AH r , A i.275 ,1.0{):) I / is i.jre in$l:lu;i*irt tr ii(iji].i;lxrrr,:irli "j.li rvl:*.{ 1 ,{14(} i.()(i{.} r:r,rutii*g1 s}r,,*kl t}r* lir:e *f sigJri hr: adlnst*}ii^ ri:* irrsl-r"ili:]+i-tt. is tt fll: vr,}i,** {l{} ilg1ot"1*..] l-r:riv* lh* *r1:r*g*i*fis ii^:rtiie l:*,=;r*ut*i eli*rxirce, ll ;fi:Xft1lf:iln*illl;;}:{ll#;11l,1*1,n;ffi;-h*;j- iiit: ve,.riual i-.,#-#r- q"fusttu:*e n*g tli* *it:v*ti** ril,"ii:) (,,,vir,arksi fi;lk:iutrtp r:l:scr.*ti*trs wfir rr:;ti.c .rrr a liiil r*p t* ii:;cr:r"tair.r it.q *jeviltio*. Ih,lfi,ll;lli:l i li) $l:r*kxi is to.t:lt*r texrsc,r Ii ii*il[ .ti.i] i .1 illl{l j .} .. r. i1. . irr ,l) . I* ilili*: *l*1*r:t 6tii.l.l;r; irrii.r:i il.lrl*su*d *s ?Ot}lrrrn" 0#*1.!", l.l"cl ri.i:* thi;, $r:;]lir*rrt lilrnt it :r* i{"}{r &t;rr"k*i rt)ilii }) t;.i *ll*lir*r ;rixf Q lir.:ni rh* {irll<.,wing r:hsr:.y*tir:ns "vii.h ri ii I,rrullurit:*t*r fit{r:ll wi{.h i:,n ;**allr*cti* i**sr^ l}r* i.i,,*ot*r*t rJ, ti:e i*struur**r 4 i v nr:/ r"rite#rt r i ltj lll8I rvi;rs LJ ti {rii iilr iL r.,iiiti it*ltj ,",1:itii:-i+ i li:lj ,,*ur ii:.ii1rgr1;1 u,1i,.;;, i iili.,,,,,i,;;, , flil*; {,i,f 1;li4^1i,i:il.i-.,:Lrii i 1*1,.ris+,.1:ri l*rrrsi I j-t.t 4..
    • {}$CV4r$ a. Dif.flerentiat{* hetlveen rhe ihllorvir:g i), Mirit ^ r:::riin*te a-nd apcx ciislanc* ii) iloint olcurve and point o.f,tarrgency. {$4 i},r*rksi v*:rsctl sit:* l.rf5rn. []r* rxrJinates ilrc to he mea*trlrcxl fic:r:r rhr: Irrng i,trt,rrt at irn int*rv;l i.il. i rrrr. , f]rrr {CI$*I*rksi t:f radi*$ 5{)0rn- }Jthe c}rnina;lc r:lthc i.ntefsecrinn p*int is 1000.0m C,rlculafs fhe clir*r fbr s*tttrtg +Lti *tlrvo Lry l{arr.klnes <Jeflu{:tion iurp,le mcthod. l:ake the nonnhl i}i+rd ** . ttl Marks} {t# - *. ll^r* firll+rvin-1rj:*tu. ru{*rr.* il r^ig,ht hantt ,rrrrrrp*urrd curvr: r) l]"*tnl d*ti*ctir:n *::gie.,,, g{Ji rY: i l ii) lt"sdius $iihe trrst arr: .Z{}Orn ii,ii ltadins o[th* ser:oniJ. ilr* *, tj{irn) it) Chainruilc oflti:*: p,trint r:f,iniers**ti{lr1 *= I50rl.R{lrn vi I)*flr,:*:ti*r* *ngl*:r:il}r* fir"sl air* ", S{}., lii(1#r)Ii(:i. h A rt*.nt c*rv* Ail}} is tt> he set ex,ll i:etw*en t.w* parall*:i rtr:aights $0rr: apsrt f ?il*l}ffitl} twil rarl$*rlt p*jnI"$ , *nrJ Ii] rs I2*r:i. Fi;r.i h*lrvr:*r:r: ji i*!"rc **;:iius Id it{{.1 ,", }{, *, q rij lhr.l rai,iir.rs l{2 iiR1 ,=, 1{}{irn. Aiso r:alculatc th* lengtlts crf hrrth t,he al*s of r$verse cun,e, {{,, tut*rk^s} a Whert i$ i:l tl"iirlsiit,iil,t: curvt:? fixplair: f.hc r*qtlilr:*:n*nts *fa trlu:sitir>n clrr.c. s.t*rku} {{}dr ":. ""r{,li rrt:;ll rik^*,tc}rr:s c,tplajn il:* iypcs {if, r.i.:r-firrr}l curr,*s. {{}6 ${*rks) (.r d_ 1.- l hJ " 1s{i*ttit,_,4r*i* t:l zi:ti.r r;i:"cl* * 22{}il*,rr. d.i;,rn*t*r,irtti* rnll*r,,,Zcrn, .f.}r* r,t:riter ivss p:irr;t:,* hr:r,*rttj ih+ hrr.rH* nt a djlitrfnft: t)f3crn. II:* M*rk*-i uru:x*; *ntrl*sr:sj hy vurii:lr*, **nr,r.-,r, ui*-.ii"** h+i*rr ,6 {*-rirtii,rrll i;iti l{l{ lri l I .., ii-, t2t] l)( I i? s ,.-, Arila i,i:a; ;1 l* r{ 3rl :)5 I")*t+rrtrir:* {i:ru:,Jlirl;t{:.if,y *{ ti"r* re.:^slvoiF, if the {tll re**ruoir lr:vel is I25^{}nr by b*{}r rhe prisu:r-ri*i*l and tr;rpe;lti**I r"ril*, l,4nt:r*: lh* r$lLrme helnrv Ii.. t, I{}*.0rn. {{}fl ibt*r,k$} *$r+ 1 _.. t) , .!-. t1 t :,
    • ,{ {}{}{"1I4$ Xiqlu*"th,$*:.r,xr*x{r*N- $$.5{. }}egree &Ix*tlx{snll iss}, "}uffi&*#uly ?tX}S $ssrd rm xs $$ m ax xx d F$}nc$x"m x* w ss mwr$N $ ss e.s $$ Ir4 a.-q. N{;,rr:ks;. I 0{.i iiritr:: :i 1ris" Fiic.!$.*: .f, ..dru.srr*,r.lj, {o}$j,, f;.f $/f.l /tifJ ry*xnsff,*rr.E ss{sr.:Ifitgg af d*lrrsf IW# !rutnr r*rr:lr p#rt ? if*rri* rrf*x* plrlrrtrr sg strdtrrrJ-rf1 rrtsi*ru**rr1* &$lr"sfrrg ff*S[.::t1! ,{ i:l . llist.inllr.iii;h b*ttt,*t.)Ir i.)tr)tli] ults:tt.ttcl iltiv and pi1:* fltlw. {0;{ fr,Ialks} i. iJ- 3.*it}r:.lf I in C. ;t: r:**ti,t11gulnr e,hu:nt:l *rn wiel* anri ,Iln"clecq has 900. and is. iinoti x;it"}-i iui:rr:;i$r: iir eii"r*hi:rr1:*;. i{}s tut*rht} "t c. chann€i. rr is.hservcd in rhc ionn,Hon hvdrauric jurnp in a l.5m wirte recorg"r", *r*,S,i11 .f ,tti[ tl$.- /;J: tl,:p*r ol flow bt{orc and after lhc-iump are ().1 5m aad I .2m rcspeorively. f ind thc dischsrge,Yex .riiical Jr2rtr arrrl loss oihead rr; (08 M!rk) ihc;rimp. ,-#l/ . d;f// JJlt ; in pig:e:1. {ii* }[*rksi / :t li.;rliiit:ir {itr: i-rii*i:tiiiit-:til;lt t.tj ^"iil.tir it;lirtttt.t:r" i: .i iilr r . iil$ $artrrs) ,!.Jiut is lt.nVir:if,;1:s ,nr*t,]ltd r:i d i n:t:nsi g lt il 1 n n i,ri yt i *? Ilxp I i*i r:.vi tlr ;itt *"c i:ll:R1)l e - {i.l$ ir,l l*r}i*} Lt. "b. ilix ;r I *i rt: :trr:r * J.I -v {hr:,t?t I 1 i.r tt, :i;i S ii il**r*t:l:r:i*sir::illlrttlq ii ) lir n*rri;* t ic: tiii:riIirity ii ii l.)-rr:irrni c sirr: ii artt tiltr i.tl&rks) I iri rrg ISur-:i< ilr,lghilili :l H {}r*ilr*t:i rt}:*r,r, tirat tl:r.* v*lil*ity ttrrtrrrlir it citcul*t" r:il{.ii:* is give:n i)1,,; ,,,,, ,l-:lii:i i ii ,O l,.,ll{}i"rt: I:l is l}rq ir*ntj ca,usi:ig. t[tr* liltw- I"] is tlre rJi;ili:*t;r of i Il i,., tlii: rirass) ij*rrsri., iittti 1l is t,l:r:: iti:ttlliltiilitltt titl{: i{.1 q i)"i ,,t urks] *5fli#S 5 $. iriri..:rit lftu axis r>l .1*t rlr*viit13 iir thcl tii:-et:ti*rt u{"i*t :s I(il?-T. tI{} llarks} !r A ri:iir:n rvlr*.i:i irit:; ir:i lx: i.Jr::ii;*,:*i:i irrr th* iiiJl<iwirr.g c3ilta: iltJ"rt.:i- 1u iri:; iii.:r"l:iti1l;i.:tl {i{tfli:l( 1. jii,:i ir*itti irvi*ii;ii.rir: " -ii)l);fi" spr:r::tt "" ii{1{} 1111fi. i{.iri"ir: r:f:l*i. r.ititilrr.:t{..1t- ilit: rv}tr:*} tiiiur:r*1t;:r""" ir ii} i.lrrer-lll I i::t ll*r*iti;y "" $ (&"i A.ssr-*t:* {),. ,,,, .qi :;p*e:ij 1-p1llq3 "" {j.ri.i:. 1}t} }trrr"hs1 r {..1
    • {}6CV45 il. turi:i*e has to b* ciesigned to give en overall orfi put of .t?5 KW under a head *f A:$,:rnmcis llilrn.lhe r*tational specd is 700 qpm. Determine the main dimensions of tirerunnerr runner vrlne fflgk:s, a$*uming, iryctraulic loss*rs as I0Yo, fl*w rnti* 0" I 5, ratio of ii:ner t* s*t*r ciia:neter:x (}.$, rati* of wjdtir. to dianrotsr ft{ $utlet* (}.}, *vera}i efllciency as 0,$2, Area hh*ked try thickrress of r:un"ner v&nss is 0,5%, (1fl Mar*s) h; A Kap,lan turhine wt:rking un{Xsr a head o{:2(}rn ctevelops l2t}00 KW. The *uter diarneter of *re qqqqer is 3.i* and innlr f,*IT!*o of the hub is t,?Sln. The guide blade an$le at the : ,extr$ry.re : : edgs of:,ths:rulrner is 35o, fhe hydraulic Bnd overall efficiencies are 88% end 84% i:r:. !::":. : :- -: :-. *utl*r alid in,l*t and aI** spc*d *f th* turbins. Ilraw the v*lo*ity triangles, (I{} M*rk*} ix lefins *pecific. spssrl r:f a hydr*ulic irirhinb. Derjve *n rxiuatirm firr specilir: spr:ed in tsn:rs *f t:perating speeri, p$werand licaci" (st ft{nrks) h. Wtr*t is a eh,aft rube? Wh*t are its tun*tions? Write the ditibrent tlipe$ of dralt tube ak:ng rrriih sk*tcir*s. ({}S Mmrks) {). $efi*e unitr spr:r:ci, *nit di*chi*rgr: nrNl urtit pilw*l. ilr:riv* the *xprc*sion fur thtvse t$rrns, (06lkl*rlr*)S rr, I)$liflr) i) Ma*o,metrjc efficien*y ii) Meeilu"ni*ul e*[:ciency iii) $v*r"trll *tfr*i*u*y. {*ti *I*rkr} h. lVhut is prirning uiieentn{ilgal pu$},p anrj h*w it is dCIne? {*s;t**rlr*} c. Th* <lianteter of an irnpeller of a c€flh"ifugnt putnp at irilet and outlet are 3t)0mne and 600mni resp*rtiveJy" I"he velocity of flow at outlet is ?nr/s and the vanss ttre $et hack *t an angle t:f 45o at the fiutlet. I)*termirre the :liniinurn startin.g $pssd of tire pump if the manornefi:ic *fli*i*r:rcy i s ?il9i. {{}{i M*rrk*} ***$*
    • ,:,..,,,,,,,,Y.,,,.,".,.T,.,,,,,.,,,1r i"i{ rriril lliii llilrr s$MA"I,4I .......1................1.....--.... -1......-..........r.......... ......., ..-............. $rqlq$x-t,h Sr*$xI*Il$;*r S*".F:. $*gs"** $,1x*nrxxixlmt**xa, Jxxur**"$uty ?{}{}$ ffiwxgg,gsssxffir $?S &$rx*hmxwms$wffi -* MW l.imc: I hrs Ms*. Ma**s: t*$ Fi g $.* ; ,$ rus l,uer r*my Jri $,.{l ./irrff {d *ss;$ti$ s*^s, .t*r/xlr:*$mg rss dcx*^tf flpy{} *pc*es$,J*srs.S*r** cmrJx 3:wri(. $)A${.$]*-"/ ,l ., (i. Sillvc -111. ,.. 7.y +.-lc{ , ,v((}) * t} " {..lsingIayliy,,o $eries rnetlrr:d *n fincl y(0.1), -v((};2). {txtil{trrks} r i.[v fuurth srricr lo s*lr,rc x -h Y, y{S) * 1 ril x *.. t}.2 rvith slr:p h lJs* Rr^ing*-Kutta m*liit;lci o:[ X =. icngtl: lt "" tJ.?,^ fi)? llt*trksi ) l.ise Xili{nes pn*ciictor *-*orrec. t.r:r rur*thocl t* fir:d y at x " 1.3.g, given $I^ ::: K -* 1f With, *o:l* .*i dx I x i"o i*ii r- | l*it 6 l it-i ili-{it,i luliltt j l-i-.Ll$1" ,pply q.:r.:t:r*ri:l.tll $utr). {l}? lYtr*rks) Jri Find i.l-ie arraly{i* fi-r*cti*l"r (23 * 11 "l- iv if v ,;)* (x .sin 3" + y ofir$ y}" (*6F+I*rks} ir rind ti:* irxlrg*: *l litr*:x 6rui:atr.lcl ts x ". rLXiri iirnd lin*s paraJ.l*1 t* y -* axis rffidrir {ht: i.r-an:;ii::lmLllio:l u :": y": i.}lllvl, iian:ili.:li"rlLrljo:l ur :::::: y"r |}lllvl, trt:iti skrll*h. skrllt*t. {*TMarks) (*? Marks) .fnlJ@ r I ({}? ; .d-/ -.- "" !.$ ",),.{:iIir rhr1r- f {.a} ,,,,,, ."1 *- i-lt*,|. ,1, , -i:L i : c. i. {fi$ib{xrksr@ {fi$ ib{xrks} Stiil.rt {.-lirt:t:l:,*s r*;irlti,* llir:e..rt*rrt. }le:ltt:* i,t tll.h:s"tvis* *va.luiite .. i (.I i...... . .....*......-..............-...---i+;1.1 [irr{. tr.r !r1l .,, -i, {(}7 lbt*rks} I (u-r-l). .$ i]. . I)rt:r,e thi1r -l ,...ix),.,,, .,1""*" nion . {(}{r Marl*} .r.i t xx u- i:x1:r*:is 1:ulyn*rtrial ,)x:i x? *ji:< I2 i n lul r:r.s u I I....* gonci i:* pri I "lt: *l u [ *Is. {il7 Mcrkrri Cuir:putt: L*,r, l:1, P:, []. .l:ta l;*in14 it.r:iir:itrt,ur: s fi:rrt*u l*. {07 M:tri*s} I,:itSK:-$$ I;it a 1:illirbolll ,,* ii i i]x ; cx:, qll:tt:th*, ij*ta : {fl* M*rkx} , 1. i ,, :l- r I}" I ,,- ;1" i "" i .j-. .r:"".-.i,*.,: ""-1. ".::: . -.i ..: " I I ir i r ]-i-] ,.1j il,{lr I j ll I ii,ii I {)::l!j i (}:{ii i"?-II i"$,i:1. i .""i i.)ht-ar* t!r* cu*{ l:it;nL *{ci:rrc}itliil:t ;*iniJ thi: lierrs <:{ r*gr*ssi*n if -5 {$? Mxr[ir3 I .....*..i". -....,i- *-j-i -;{i i i 1- l q-fTit1-l i-| ii I : h I I --1. , i : t l y i tr i i lio-l e i xz I tn { 1$l i,}l}Ii t... .... { - . . iil h$s {ill.:r tir:Iri r":itr.:1ts itnd *ltru*{:r$^ J"iv* tf" 1}r**s $*t$ ilrf, r:t ont: **l*ur and thc i;thcr i:lr tt:li: :ir:t twi: s*}s *rr: *$. riift*r*nt c+1<lt,tt"ti" itot tll.il, ljtr.r..r. n*lcu"rsi. if th* cu.pll &r* plnr:ed r*ndtrruly l:n riirriil*ls;. rvi:ili ix ti:.* prr:h::[:ilit3; ilrot no *ul] is rlrt i; sij.fi,tc*r t:f sanr* coir.lull {{}7 &{r*rkx) . I t:t"?
    • {}#:MAT:4 X with an *xa^rnple {0$ Mr*rk*i*. *el-l-l*,,i).&nnd*in v&ris,bi{i ii) Discrcte prgi:ability tiistribxtiunWlrat is tle prohability that out Ihe probahilitY il:trt a rnan *g*ri 60 wili live up tg ltl is 0.ir5,h. q iii) irit lsn$t ?" will live up to {he ag*: *l o1 l0 tl-Itl),n, nt:rv n8eci (:0, i) n:iacti1, 9. ii) at rhr* m**;1 {t}? *{xrks} 1/{} yl:*trs^ 64 ilir-ld th* ul*ilr]o. ln a ni:rmai rii*trihr:tinu" 3i.xr r:fthe itctrti: att: tltiicier 45 ;lnd $r)( *r* *ver iit:tJ sta:nrJilrxi dev i iititln - giv*tl ttrar A(0.5) " 6, tS anil A(l .4] - 0.4:l {0? il{arks}ir. ,[ir:r] t]:e plr:h*l:ilil.v ihat irr Ir3ft [o$i;e$ o{ a J:air coin bstw,o*n 45X, anel 55?ir n{ t}re otttc*mes *r* h{,.aclx" {flti h{*rt<x} ix xr*king, ensine p*r1s tvil.ir irxlc ilianrslrtt r:lii."i irrch*s A rirncl+m sarnPle oi"b. A ()l 0,04 inch*s" 0rr tlrc show**l u ,*,.*** rii, rt.,{"li incl"t*s- "vith, il stttnc}iird dr:viaii*n *cc.hanist. l* ;:;tris w*rk ix in,fbri*r itt 5t% [*v*l oi signi iieat:cr. h*s,i.r *f thi$,$*Irrlill*, un* lt h* c*ncittd*<i thar lhe {{}7 Mark*} i$lll:ri,,ing deta {est t}r* itypothesis that the accidents are uniformiy elistribut*d tv*rc. l;*r ]rr*, irl[ t}:r* *itri* t:f thu rt*eil firr 9t% *orl{it}*n** "},lftLj Y.4, {$7 Mxrks} i:linr"i i** -- t"L{ir,tgiir*1 tj i s tr: j L:i.r1,i t: rt * { x distrii:*ii*n * l 3r Mlargir:a.l {i*v (x,3i) if ,tifr* i*int Bc{t*{:x arrc* y is {i){r kE,arl<-*1 b. [:ine*ih* fisx*d proh*hililv?**.r-*rr:{"r*g*l;w sfi:*hnsti* xrentrix i-i:.:; ir."1:: ii.]:j i (ii? &{rlrk*} i ::^r {1, i{ i) 11I|i {I I i.,/ l i. .,,+ A r:,*lrrp*ny *,t**:litit* *ha::g*x i.ris *;rr {jrr*l}r yrlar, Ii: h* hat lt *xr oIr*aki,. A, hr: chariges oler {.rl nr*k* I{^ ll*r::t r:t*i;* t.} he *l:rnngr:s i:lor tft nrakc t"]" if ire i:*s i:*^r (-l thc:il l:t: giv*s *qwl} (:hitliy-(: lllr(ltL* lt:ii.li* A Crr nl*k* f:i *ifr:^ ilirc h;id rl *l*+i rn*kr: Ll in -rc{ir.3t}t}$ 3tr*lf:t:*:tr:* ti.) :{ili} ii) rr"rak* C in 2i)10" iind rii* nroh*hilitlth*l lr* wili irirvt: i;r rtli i:1"i, lnnkr: 4 rn {t}? !{xrkxl ,.F d. *. .$ +
    • I/ i---r-r- f -1 l- T- | - -t- i kIA:tr"$xxld** I".* --- I l- I I , ir$;Ni i i".* i -l- "-L--"-r"--t,-l_l -1. " - I $IXttxxxtmal$i*lx, Jqlxl**.5.wlY 1{}$$ $i*uxs.$:$x q:r!$es:* s HS.ffi . s3*gs:** ss &Swm mmms &$ w*$*mmw. $ws * ffis Milx" h4 *rks: I {i() irirti^:: -i itl"s. N*rt*; ,4$"wrsrrr r*sry $rf $/elJe*CX x3lxcssinrut s tt crire*tinn *osincs q:f ttr* lines *P & sQ anc{ $ he lh* xngl* tr r.r {,i. ,r }?r r"r il*il /,, ffi,. r,r, ar* t}i* ;;,]f,"i"l--, $? #r ] n n Aiso d.*rive the cr:*clitiun itr the [-i-"]J,-i:] (*7 Mxr}is} p*r3:eudi*irli*:it-y ol$F -$r {}Q "i,*T,-;"I;;; r,lr.r*r.ttr1h t}:* ptli.rrt {,}, *.}, i) nrrd is t}. i:intl th* *r1us*1iltt r:f.t}re .pian.*,n*i.i:ir:}: i}I,}xi$l*s + 5:rs$ -* t) ]ll i) ll*rr*i:l*t t* th** pkrn* ?-x "+ *6 nlid 3x + $y ^ sZ * & {{}? M*trkr} P*tp*ndl*ttlar trt ilre pliure, ?* y 2x -r- ii) tho angl** br:twe*r: th* plitnes r, lli*6 tt,le r:r;u*ti*i:x tr:: th* trvr: ;:Lr*rr:s rlhich his*t:ts {(}$ Mlrr:ksi *" } ru:ei 5:i t 3Y -4 " } 3x. *- -{y *- {7 ()bt,;rin dr* cq**ti*lr ul. a plrurc piissing ttx*ngh th1 line of inr*rsection l"f the plan*s n il. r** -t ts the plnr:* ?.... ,{., I ?"r a- tr6 * 0 an*l ta- ^t... 3y *:g""r 11 "* fi *uttl petpre*dieul*r /il*-TrY {t}? hfarkx} i- Y -?i:-(i"{)" tire *u:ipir-r *;tq:h.o{ rvtrieh int*r:s**ts tl:* ;,;ir:lsl th$ ertrutrli*ri t:tl!:r* tirit) $tsili$hr llrmtl thr*ugh ({}? h1*rks * stririgl:t line, l,li(x *- 3) "" ,i 3* r, anii it is inclitli:<J ;ri *n rmgle of {i{)" to tt clistiuree b*twcen the li l*ilrcl th* rnilgniii.rd* rlrr{ th* *qrlalti*n o{: il:e sliortest- *.-I {S(: lvXs}rks} :). ,,,, --.,1. -... 1 ;igr.1! :Y ) =,. !1.:.] ,,,. :{*- :l^. q ) -,1 * ..) I .;r - "...- -i -* -*--*F i Fi:r:rl i) sur:h tl:rsrf A -i IH is 1:eri:enrti*ul;rr tqt .,f. ,ii,,.,i i ]j *,-i]r. lt,**-i^+.tj-rl*. i::*3i -r- i-l . Al,;,.,, linqj thtl tir;t pr*rluct tf ; rcrith Li anti ..($ "" {"1} {ttY ktrtrks} rn the plane r:*rr1airli*g lf" ;ii gl -i.].i $ k , ii,* ?i -.i-r- ilii flncl ii r**it v*r:t*:r ,,.,, p*rpendituiar lr, U: 11 {{}? M*rks} L,*r^1: } & 1{ Ais*, str*w tlutr A i:i r:st p*ql*nrii+trlar AI} * *7i * }4j- 3k (:" Fil"l*1 thr: (:r.:rlstxnt rr sur:|r {hi:t" l}t* vtx)t{}rs Afi "= ai - 5j *2k , {{Xi ${*rks) Jij= I ii "i 4j + k itrtl t:r:Pl*uitr variglhl(. t]" r{ pirrti*l*: n:l(}re$ $:ltll}g * * t:** ., } ..* cts.}t, r,,., 2.$in}t rvh*re t is tlre lifi::q: ui}l:vix H Jrnti tll* magnitucles *lv*fu:tity elnd S*rcruni n:* ts rr*lu*it,y it*t} ;x* *ul *rniion ve**:rs i *r}d als6u {ti7 Mrrks} iecu*l*rati$fi at {:::: {"}, = xy= *" y:rJ at the p*itll (?, -i l) in the d.irectilttt rli $:ir:qt {hr: elir**q.ir.il*} elerii.,irtive ti i:{xyr.) it is maxiln.ufi t5* r,:s:ot{ir I +11,1 li -:..K.. Alsr:. tL.nrJ u5x riir**[ii:rr ;it1*ug whit]: {{}? &*tlrl*-*,} {{}6 SIxr}*s} Pr*rl*-{}rii{ Vrr} -- 7..rr ? }t rvh*rt: fi * xi "{}* -!rk lxlil r "l l{ l a. i:t>r w.h*i u*1ur e;i] tl**:i ttiis vct:ltr1 p "-t*,r, t-r*)i o i*y" -*)if "{Zoy* :l*?v2iK {{}? ht$rhc} Iri.l.t e.tlru ctivt:ry,t:trt:e Alx* trnii V;< li {{}7 e{i*r"ks) h. SiI:*w t-ltnt. *rxl gre $ * gi {r." {*.,iv,*1 i}.r*r ii * 1x t y -! l}i I .i - ix + ,,)1; ^ $[r*rw that F uuli ]:r ." {} {#$ Ft*rk"-*)
    • MArx)$$*4{}I.t) i"l 1;:ling th* rJ*llriiiirin rsiu.lrv Lhar i.it,,l.=,;;lj, ($$ &.{r,rrks) ,l:iinii L{* l c**a.t} , jclx,itr (0S h,l*rkri j:iinii lr----- - cos l:i i l.rj | ({}$ Mxrti*) rJ. l;i rr <i i.iuo:; iiri , hl "I-l ({}S tr,trxrks} ll ,$ I l,-t,",-, i.lxrt ]-.i(" i.,. i I),, ci:-r "; ;; i (:s: r,i.i:cri: n i:i ar: intcg*1.. ils " {#$ ,,}*r{*} ,- I,. l;inri l. .i r.j s" -.JUs i j] i ^,"rr.,? ss--"":."i ;tfsi ; "; ;ij I i J,, t.;t {{}:I h,Snrksi :i.,, ? I Irinil f l.l--- t? -..^ "-- - i i. i li" "4s;-.ijlii {{ii &{;rr.k.r3 tl. .l i( :. Ytirri .-, i lfl .ritJi .,iil;). rl i" ,^ lI siri.rv,,i.hltt L 1 l fii:;;ri:;l ,=, 1.],} is J { {$$ ,ht*rkx} il I*ivi: iill: i*it.i*i r,iriui: l)rrlhlir:ill l;..rin* i.;rpl;ri:t,: ih;ri ri{1"j) ,, 1. ,., {j. . lr;*n:;iiirr;rs tlJ:i . ilji r ll:l -- L.)--o ,., {} gi,,,*r.r .r.,i{ii -t,,,i.iji.., 1i" ir" 5r: i 0".o:: I.iri: sirt: ti i Li;itr:ql t;:i ;::t.lturi iI{} ili *r.k.v.} it-:tt.s x, ii (l, ]r i .o: ,,,, ,r;iil Ln ,{{-i} .,,, I . Yii)) -; {.i . ** ${arksi + iii )ii _+. d-r