aE s Efn-

.31)8, .-

w Lscd nE(rr{{>€

f\)o1/ I Oe(.-- t-.>l (I q l,*lo-,ct (,

QP Code :601302

[Total Marks: 80]

frrtt o

'T r=

r" '. ::i

{S }t.,:ti'r*1

Q*stion No.l is comPulsory'

Attempt any three questlons ftom remaining five qu*sootls

Assume suitabte data if required

U* of srcasr table is Pereified.

\.8. I.a,/-.

3

A.t.

olY'

(08)

{l 2)

Soh,e any five

a.

b.

c,Ig.

Exptaiathe princip{eof working of an inipuiseturbrne. .I,How are hydraulic turbine class*.red? dr.u-

Define specific speed anti rtate iu stgntficance -.1--How is i. gur t*Lioe plant n:c$eied as air standard Ehlron cycle? trVrite

rhe assumftions cleariy r'.s

What is dre role of ftxible phi! in Boler? -'-.

Explain worki*g ofturbolet Engrne? ..'

t20)

{t0)

ri

Explarn the constructlon and working *f Babci-';k wilc+x boiler

The nozzles of a trubine are supplied u,rih v.tli:a.1e<i-steant at i0 bar, 523K' The steam

leares the n+zzie at a pre$sure of 1.$ bar fi,a ii€am csnsurnption for turbine rs 16

kg,kWh, w,tren it develops 225 kW. tf dre'tliroat dramqer rs 0.8 cm, determine the

number of nozzle rquired and exit dia-meter of nozzles, assuming that l0'o/o of the total.,, (

heat drop is lost in overcoming..{he'frictron in the divergent pan only. Neglect the

velocity of approach

e -1 a) The followrng observations wbfe made on a boiier plant dunng one hour test:

Steam Pres:rure = 20 bar

Steam !,,laiperature = 260oC

Stearrr.g,inerated = 37500 Kgreniueiiture of water entermg the econorntzer = I5"C

Ta*perature of water leaving the economizer:90nCFuel tsed= 4400 KgCalorific value of fuel: 33000 I(J I KgCalculaie:

i The equivaleirt evaporation per kg of fuelii Thermal effrciency of Planr.iii. The prercenAge heat onergrv of the fuel emergy utilized by the

etsnornlsetr-

bJ., A pelton wteei is retxiving water from a penstock wrth a gross head of 510 m. Onethird (10)''

of gro=s head rs lost in friction in the penstock. The rate of fiow through the_nozzle fitted

at the end of the penstock rs 2.2 m3,,'s. The angle of deflection of the jet is 165".

Derermine: i) T* power gven by water to the runner, ii) I.{ydraulic efftcierlcy of the

Pelton wheel. Take G - 1.0 and speed ratio = 0'45

al

Irr

QP Code :601302

Q4 a)

b)

Q.s a)

b)

{\ F,

2

parson reaetion turbine runrirng at 400 rpm.with 5ff/o reaction developa ?5 kW per kg of {10)

rhe stea& The exit angle of rhi blade is 200 and the steam velocity i$ 1"4 tim* the blade

velocity. Determine blade velocity and U8& inlet angle'

Denve an expression for maxtmum hydnulic efficienry of a peltnn whml' (13)'

A hydro-trubine is requirod to give 25 h{W at 50 m head 90 r.pm. runnar 1fmd" T'hs€:il0)

taborapry facilities availablq p.*it tmting of 20 kW model at 5 rn head. lVh*t sbQl*S

sg themodel runner spe6d and model to proto*?e scale ratio?

in r gas turbire phnt ths intake pr€ssure and temperature are I bar gn& 1S0C (10)

i*rpoiinuty, The air is ccmpressed to t* pt**e of 4.1 bu by a tomprg$r, whose

isenfopic efficiency is 800/0. 'the temperaArt-{ thu gas, uftose properUemday assumed

to rmemble rvith tlr-ose of air, is raised t0 6450C in tlre combustion cha@br where there

is a pressure drop of 01 bar. F-xpansron ro auaospheric pressurg$** occurs- If the

thennal efficienry of the plant is CI be lfzi, w{ut must be the ilelrropic effrciemcy of

turbine? The mass of the ftel rnay be neglecteC

$olve any four (20)

a. Distinguish h€fiffeen water tuir borler and Fire nrbe boiler.

b. tffhat is cavrtation? How can it be avoid#ih reagron turhine?

c. \Urite meriu and dernerin of Gas urrb;ne

d. Explain tre urorking of relmt gu. turbine plant with the help of s T's

dia.S*m.

e^ Draw tire velocrty riangle fir iff'l reaction Arrbine aad write the

expression for maximum s'ork doae and blade efficienry.

f

pc,v- Dl c *zrlf n0cFeniq) V rbr.rho")

QP Code : 60120I

(REVTSED COURSE)( 3 Hours) I Toral Marks : B0

N.B.: (1) QuestionNo.l is compulsory.

{2) Answer any three questions from remaining questions.(3) Assume suitable data ifrequired.(4) Figures to the right indicate full marks.

1, Soive any Foura) A single DOF system consists of a mass of 20 kg and a spring of siiffrress. '

4000 Nlm. The amplitude of successive cycles are found to be 50,.f5,40, 35 ..... mm. Determine the nafure and magnirude of damping fdrie

n .:: f n-qJ ccBa6) crnech 1n.fh)

b) For the system shown in Fig. 1, the characteristic of the dasfu1& is suchthat when constant force of 49 N is applied to the piston l$Velocity isfound to be eonstant ar 0.12 mlsec. (a) Determine the q&ie of c(b) wbuld you expect the cornplete system to be pen"o_dic or aperio<lic?

^l}_.r. t'

i^'/

!1\.,/Fit [ ,s':"-S*r)'-

A ,V

ollt4uV

tl,'i..,

.t'

:-l.{

c)

d)

e)

I

A vertical spring mass syster" .h_as\ a mass of 0.5 kg and an Initial

deflection of 0.2 cm. Irind the sging stiffness and natuial frequency ofthe system . ,r'?'Frove that an undamped ruq*S"ring Instrument will show a rnle responsef,or frequency ratio t q{0" I : t,' jl .

Explain what dc you.eddn by the term'critical speed'ofrotating shaft?D erive n ece s s ary.a(*il ulae for undamped system.

\''a) Three rail bop,es are connected by two springs of stiffness 40 xi 0s Nlrn

e.ach as shqrf irin Fig. 2. The masstf each bogey is 20 x 103 kg Determinethe fregHe.ncies of vibration. Neglect friction betwecn the wheels andrhe ra{E}'

t0

\:) f-.pB* _.,*&*.,lt K. "Lt

Flc t-

IT{.rR}r ovER

3

QP Code : 601201

-2-The sphere'of diameter D floats half submersed in water' If sphere is

depressedslightlyandreleased'Determinetheperiodofvibration.Whatis iinre period if D : 1m'

DerivetheequivalentsystemparametersofthefollowingFig'3,takingx as the genitahzed coordinate

A 400 kg rurnblerwith a 0'45 kg-m rotating:'bi1i$--p,"rates at speeds

(nA rnrr If the trrmbler is:ataced on an elastic

i$b)

10-

-t.a)a

l*.

i-\

10

b);r,ffi;;#;;;'600 rprn. Ir the tumlter iq{plbced on an elastic

foundation of stiffness t x t 06 N/m and damq4ld'ratio 0' 1' What is the

maximum steady state amplitude of the tumbk?over its operating range?

For what speeds will steady state amplitudg of the tumbier be less than

1.9 mm? :Vi/., '

A vehicle has a mass of 1200 kp1.Q{re suspension system has a spring

consrant of 400 kN;; una du"2pfrrg ratro o.s. trtne vehicle speed is 100

kmihr, determine the disp$-&ment amplirude of-vehicle' The road

surface varies ,irroroiO*lln$lit, an ampliiude of 0.05 m and wavelength

of 6m. ,'i;'

An aircraft raolo werefti?g 1 18N is to be isolated from engine vibrations

ranging in rrequEs-nol 1600 to 7200 rym. what static deflection

*,rlr rt',. isolatoFiiive for 85% isolation?\,r.

.-,al'A l2 cyligdlr aero engine drives an air screw through gearing' The air

screw r.u$s/at 0.6 timrJth. speed of the engine. The shaft from the engine

to theg-i*ion is 1000 mm and of ?0 mm dLmeter. The screw shaft is 650

mrnY{rng ancl90 mm in diameter. The mas^s moment of inertia of engine

ffi;il;* ur* o.!-[e-*, and 15 kg-m2 respecri-vetv..Neglecting the

,*iiu"f ,"u. u.d shaftl determine the frequency oftorsional vibrations'

Also suggest suitable location of the g"uir to avoid-adverse effect of

torsionai vibrations. Assume modulus ofrigidity 80 GN/mr'

t TURN ovER

10

a)L

b)

a)5.

10

74

-€1*"x{* L,er*t *r1c"r! stt\i

'. 1

hI

a)6,

QP Code : 601201

-3-

Explain the balancing of v'engine'

The reciprocating masses of first three cylinders of 1t four cylinder

engine ire 4.1,6.2 and 7,4 tonnes respectively. The centre lines of

three cylinders are 5.2 m,3.2 m and 1.2m from the fourth cylinder' [fthe cranks for all cylinder are equai, determine the reciprocating mass

of 4,h cylinder and angular position of crank such that the system. is . -'

cornpletely balanced foi tt e prirnary force and couple' lfthe crank radiUS

g0 cm. connecting rod 3.8 m, and speed of engine 75 rpm, findAftd

maximrun unbalanced seeondary force and crank angle atwhich it qcEtrs'

Find out natural frequency of system sho,'.wn in Fig'4, m, 1{0%g'n, : 15 kg and k: 320 N/m by Lagrangd's equation'

..l.)Y

:/ l

:nt)IL

b)

l\

,..,\.

^.,''1 "-'

r;,',nY_

. \,,(\\

a ,^.n\

i'r !

'n- -v

,1j\')

vl

!.-

\i,

i. . -''

1€ sEr^'r f, (gCS fi.lEct-t S Ecantfr ruAt-t 2o't6 '

<uA: - MeCfifrTRorutcJ

\b

T frT€ ) - 20{tz{ zoi6QP Ccde :601400

CfiGS

($ heurs) Total Marksr 8{l ;Y

' ^""'bNB: -'$' -

5. Questiau Ho I b co$p.tdEory. Atteqpt auy TffREl[ qusti*ns 3Jm;siluining . ru'

i, iiq,ressiins;..tv;'6i**i-' >bS. A}*; b each ae\y question shoutd be started ou a fiesh p&g?. *9: frn'o ia braclers onihe right &asd sidc Micato fsll ma*s. ^O"jo, ei.,r** zuitabledataifneeassary. ^e,^"

e i ) a WitLs btock diagram cxplaia,a Mpchatronics Deeign process. i 4x5= 2 0

b. Fxphiirlatrtiarnatchingwhiaskstsh. o'

*(7 '

c- fxptain proccdure for selection ofactuator. z1,'

;;6ain.,rr-rdr"; ai cx*ril*** u*u* uiur*tlon co*rr*ltxing tiT-Tt1T.. ,c '

.. pn}r priperfy labeled sketch of * i0rqu6 dwelopment E roress in ttreo p%{fidts and cphin'

e2) a) Explai' bear dissip*tion ir DC- nroror snd Psrive an equation for therma{$ndeling in DC uotar. (10)

bi Explain Piesodcctric drivec with neat skdch. state its rypti*ations. \* {101

a

a+Q3) a) Trvo doubie acting pneumatic $PAers A B arc sslec*cd fu{o indusubt applicatioa lne sequence

of mo'ement for cylinder is as *,f,$*S$;,o*t,.6af:

Draw the electropneumaiic chcuit *iog s/2 double soiqimfO ar firral direstional mntrol vahes. {l0io) Gil;frhdi;;;procedure for inairfachg moto$irve withmicrooornputer*vstm (lS)

..e'Q4i a) Explain Stepper motor performaacc charactc{&i'cs with ueat sketch. {10)' '

ui e*rr"in wit-h a block diagram Muhichanne#ht* Acquisitroft systems (DAQs). State its bcnefits- (10)

e5) a) 1v.'rite pLC ladder logic diagra* *rgqo*-operationa! sequence given below figurc. {10)

^6/11-€Y

S.rt" tlYdtxtic lirt gcrr

\b,^d^_v).*V

qr"

^\r'V

NVs\'

,,\/\ l

a\

\b's"N$

[Turn Over

QP Code :601400

2

An explanatiouof ths operatio*al srquenes is as folbws:

,srep I..The cequeBce begins hy pnemrng ths **rt bution I:lll in ruE 0. Asouput o.'lf q

become* caergized, the ruug becom* l"t"h*i ,rd tn *pooeiog ,Jotu"r* in nrngF l, 3, 5, 6 and 9 close' Tho h

sysrembecom do.energizcg Uy Fnessmg rilG Urttoo ftUO iI nrng 0' -' r' @*

^.O$-Step 2:Tlnclosurc of the start button also canses rung l-to latch' By energfqg oypy ^ d

l''

O:2/l iu ffinB l, troth conveyor belts b*gifi r11esiag. t&e T tT ry gal;ftoh t{ inprt conqrcr entoghi

slot in pos6iou l, it activates a limit switih Gi;# nrng 2 rn r.-ii ttc output ofryaq 2 oncrghe* itr$Etes

a False rondition at Bxamine- offcontact o.en,r*gl rirtatches, anrl the conwprbtts $to?. RE6|Y mw

inthe True condition. - ; v

^ r--:,'- +=, -.?:eF o*,{ +aiat rnrrrfl"s i?tt{} ,i}t"}-d*.,r, 3:Blhr;:r nrnft -E hi*,*.*W*5 ?':-**, ir.:; ,3EryLrl +a,.Jses a o.'ait'e tt ;,F*n r*-d pa:*t p<lrux i;tto {t?-r- - -.-.1*^+.*-",i*lrrl **o *r fr*sitir--r $. .**i ih* pa:et tiiis tbe

:T: :--.;l..i::ff,:'*[:lt-I3ffi"ff#Xg:;;i'#';;ffi;-,t'#G;;;io*il ;. weiEsi;*f &i; paturr, i* an :na:r g"j*t+'*:ij::f:3.:: 13;Tli,IJl-fl'llatffI?1op*uiln.*i #siiai orru* *, ia*r+ss i:i,*.*. '*-:= *s:t"l -,e!u* is q@**d ryiry tite H*#

"'+.-**-,r. t:.r iz ,L+;...+i:rl-.; '-t'itr.: natnt gdt}+urce E i$ th* pfo€Esffih*r;'*rti** {i;: r*Eg +' Si,=',.-e s. r.iii'e '=QI--t i*slr;t'-i-'n u 'he ;:;l:ri:L :;i:ir* paurt ry$Bcr:rce B is th* pfo€Esffi

' .ql-+frnsi:a'$i *f t28.

^step d:when tire paint can fills to 128 ounces, thc values 8t source e "4 T\s: B of the

EQU instruction are tbe saoe, which.*tglo. tle neg # "o* on q$\itre corrcspoding Examin+Off

@310) on mng 3 becom Falsc and shiEs;frs€ ,"t a Also, tk B3l[b]mct on ruog 6 elrsrgizet the rurg'

causing a robotic arm to phce a tio oa ttle ;, \lten se6or l:va ir1qifu 5 detects the placemert ofttre lid, it

.u**r",L rutrg to latctr, startiry a nptor tk roi8.' the tabla ^ *-

Srep i..As the tabb lnd incre,mcrtal emder *19 tire ugco^gil C5:0 in nurg 8 incrcmeats' After ?2 pulss'

tbe accumulator equals the preset vahre. The DNour^oui q*9". counterthen iets, carsing the corryonding

Examine-off contact in rung 6 to kcome iaise. The I€X is that th€ rung unhtchc and the rotary slotor

stops. ;'l '.\ i,

b)Draw a block diagram representing C", .ngn($dnagement systerl (10)

A=Qd) WriteshortNoteon(A}iYF0lJR) l&t

(20)

3. Acnmulato, .gQ4. Selection of a PLC systcn

=.S-3 FirE fighting robot.

i co*uiriuJ ^Si tttt*"n*i.s systems \#*

ard brsislcs Epdbatic

-\'.\),.V

\b

a

Q*,;ry$AA\a\\r'V

a7\\*H/\\

A\a\

. \ lr.b'

tt\*\l-s

,rtTg se a gi {Gas' Auro s=reruD

Su6: -. OR

Revised eourse (CBGS)

Duration : 03 Hours

lnstructicns: 1. Question number ONE is compulsory

I

?t*t€ "-c14.

DR_if "_ zrt/tzlzorQ. P" Code : 562200

{.t,tI

2. Ansvrer any THREE from the remaining FIVE

3. Use graph paperwhere ever necessary

e.1.{a), Horv ,,vill you understand from simplex table that solution is lnfeasible, Unbounded and

lnfinlie nln',ber of solution, (0s)

: S: ,::-:': l,',i1lggame. Find thestrategiesof eachplayerandvalueof game' (05) t\

Marks :80

Ar-k\U

:. S: .e:-e;c';orvingfusignmentproblemof fourjobsandthreemen'Timetopq@mlofs^J' t^t

by different men are given. (0s)

Men Job

J1 J2 J3 J4 .q'l'4 1 7 5 8 4 r\t',l2 5 5 7 4 AV.M3 8 7 I 4\.-

lC) Solve by graphical method (os)

lr{aximise,

tire coryany purchase. =$"

(10)

(10)ft) Solve the following problem to minimise total cost.

A'\ B c Caoacitvx ,5' .' I 7 l0Y 4 6 80

Z i^7 J ) 5 15

Deriaid 75 20 50

^q^,\.\

a\Y,,\_l

\ (i"

\0

-a

s.t.,

is p.aced. Inventory carrying cost isp{ifiated at 20 %. Supplier offers a 10 % discount in price per

bar of Rs. 100 if order is placed rnQYttran or equal to 150 bars at a time. ln what order size shouldr\) /r A\

..r*o'

a"+'N-$

-i\"avs

Player B

I lt ilt IV

I 3 0 c -1 7

li -1 ( -2 11 1

ITirrnover

--'-1

4"3" (a) What is degeneraey and unbalanced transportation problem ?

(b) What is Traffic intensity and customers in queuing theory ?

(c) What is decision tree in decision making ?

(d)The following data is pertaining to a project with normal time and crash time"

(03)

(03)

(02)

( 12)

Normal Crash

Jobs Time (Days) Cost (Rs) Time (Days) Cost (Rs)

1-2 8 100 6 200

1-3 4 150 2 350

2-4 2 50 1 90

2 -5 10 100 5 400

3-4 5 100 1 200

4-5 3 80 t 100

lf the indirect cost is Rs. 100 per day, find the least cost schedule (Optimum Duration) 1],\What is the minimum duration

' .c-k'\\\YQ.a. (a) Customers arrive at random. Probability of inter arrival time ana serviffime

n.x,\.\'

f-r Yn..

(il

(ii)

Estimate the average waiting time and queue lengtp bf"customer by using seven

simulations aO";;";;; ;r.ber:5887, 473s,2328,5ss7,34q?9s87, 6ss2 (10)

(b) Customers arrlve at random with avel]6e 4 customers per hour. Service time on -

an average is 10 minutes. Find &t (10)

(i)Utilization factor S7(ii) Average length of systeq\S

I(iii)Average length of non qyltV eueue(ivlAverage waiting timr.Pfl customer in the queue.

Q.5. (a) For the upcomin&Yson, farmer can plant corn (A1), wheat (A2) or soyabin (a3)

or use the land for q$ne (Aa). The payoff associated with the different actions are

influenced by thqamount of rain : Heavy rainfall (S1), Moderate rainfall (S2),'Light

rainfall

t!

orbV th\3mount of rain : Heavy rainfall (S1

raug$E"the payoff matrix (in thousand Rs.) is

s1 s2 s3 s4

Afl -20 60 30 -5dY 40 50 35 0A3 -50 100 45 -10

A4 72 15 15 10

estimated as

/\A1^\rV

1t./1-vt.l

i't/\\ii:

''a./

'i. 1'

it

^Q;Yna, which crop will be produced using Maximax, Maximin, Laplace and Hunaricz criteria

' k fo, decision under uncertainty. (10)

are given as under

ITurnover

3

(b)Solve by Big- M method

Minimize,

Z=4X1+ X2

Subject to,

3Xl+ X2=3:4X1+3X2 Z 6;X1+2X2< 4: X1,X2Z 0

a.6. (a) Solve the following game by method of metrices

(b) Differentiate between PERT & CPM

(c) What is economic interpretation of dual

q^'.il

^.)i-\l/(10) J.V

a'\

ovC"

np.A

(os)-.i,t05l:''-Y/\{

/\\.l\

.r iz

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&{s.ory

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^tFt \

,*'w\-\,\\ \

^ 6v'

""Ns\.

Ho\\+'al-/\_( l,'C\Yni.V

Va1V

rl-vllt

\i

CY".\V, \/4\a\\

_L-1r1t JxV\\F-1

,ftn\.' i,{\j

.. \'

7 1 7

I -1 L

5 7 6

(10)

.fE (fem-fi) / urecr., I Autr l cn6t I Seorl h*lf ul6l qP [*lrswb - rEA

Q.F. Code : 6CIL504

(Ttme - B hns) Mrdmum Martrs:'80

N. B. (

L, Questionno.liscomPulsory. A?,. Ansrer any tlrree out oftlre rematning ffve quesfions' .tr3. Assumptionmadeshouldbeclearlysated" \'4, Asume any suitable data vvherever required butiusH&the same. \"5. tllusuae dte answers wtth *ketches wherever required. ,gr"6, tusurer to &s quesdons Jhoutd bo gro*ped tnd wrltten tggs&cn -4y

^1nt'81 Wr{te&eshortnotes onr .$rt zlta. PrindpalofMinimumPotendalEnetgl _gi-b. Explainthesignlficance ofJacobianmatrix. nsc. IlpesofBoundaryConditions {tV

ez ::"ffi:ffi;}}*.*r*suationus*sca**ooi**-*c" 10

H+coslfx='$ 0<rt<1.Ofrn aSa'

BorndaryCooditions are: /(O)=0, l6f1=6 .OO'

nnd / (0.2S), / tO. Sl anO /gO.rSJ. Compare yoqyfirr"r wtth exactsoludon

n*dh, Figrre shows the beam of uniforrn rectanqq{#cross section 10 rm x 1? cnn, sub'}ected

ro polntloadaadaniformlydistribute*(aatr Voungs modulr:s is 2 MPa and Poisson's

ratio is 0.3. Determlne t}re denectioq$Xd *lopur.

,/\\s^Q5OI{N -, t

:r.*

25rcv*

\\btr

A}J$'

..*vN/

^sA\

^e'oN\r

TI]RN OYER

q3 s.

Q4 a. Ttre sircular rod depicted in Figure has au

an$ ie perfectly in*ulated on itraluminur*, for which &, =30$ WWmrC. The extrcmg rieht e{dS0"C, u&ile the left end is

Q.P. Code : 601504

&nsider th* steady la*ninar fiow of a viscous lluid thraugh a long circtlar 15cylindrical tubs" The governing equation is

ldf dw\ Po-P.-;ayt'al =*:r'-=ro

{t#}i.."*0, *{Rgarg

1

..3P\

\b{rvhcre w is the axlnl {i,e,r' r} mrnpanont of votority, p i* *he visco*ity, mrt fi ir llp .-6

sradi*nt of nrcseirta fqrhir} inclndec {h* rntrhinrr{ cftrr*t *f cfatia nr*crnr* anr{ - \',)Spadicr* of pr*mura {whiclr inelude} ltre porubiard cfrcct af *tatic prc*ure and A}*---.1*rl*r^l G---*\ ?TrL^ t r--- l--- ^* - ',!rl- r\ \grcvitatknal fore). Ths horind*ry cc*ditions we

flA\Usingthe symrnetry a*d two linear eiements, determine the velociff field {t'$kompare---!!L -L- ----.-! -..t---I-- -!!L^ -^J^^-

\(,

r,r,,)=ff[, G)'j ^a$d3A.-

.uu\.\

sN\

Derive rhape funstiort for lD liaes cl*rrrart in natu&I co-ordinafes

\'€o

diameter of 60 mm, lenglh of I m,The left half of the cylinder is

the right half is copper having ** = 3896 cylindcr is mainhined at a teprperatrnre ofto a hrat input r*te 4000 W/m'. Using four

equal-length elemeats, detenqcylinder. .)'

the steady*state temper*ture distributioa in the

^C.iY

TURN OVER

p*:s ln*f**.t* m S.2$ m*f*s,?S m{

10

\\b

rl

n9*"or\

,A..t\

*7$ \

,1\

^._t,

^<)d)\Y

Q.P. Code : 601504

Analyzethetrusscomp}eteIyfordispIacernert,str€E$and$trainasshcwninfIgure.10<,q.\)'

FkN uP',Take; \bArea of each mernber=3S$ rnmz jj$=200 GPa O(al$KN ,+'"

s*q?'

^s/1\fl"

sb

{o,,o} ,lsoo [( r0o0/g$y

q$Find nod*l dlsplacernextand elementsfies!' for the bar as.$omr in figureusitrS SEM. 1O

Talm E.200 cPa. .B'\

dr€,m*)

a+b. A CSf *f**uor,$iodal coordinates (10.,10], [70F5) and (75,25] Sor nodes 1i and 3 10

- rsspecl*vefy.{f,e element ls 2 mm thick and is of material urith pmper*es E*?S GPA.

fofss*on'g$Uo $ 0.3. After appping the laad to th*.ulerrrent the nodfil diformadon

., *u"1ffiIa to be ur = 0.01 ErrI, vr ** *0.04 ffisl, ua x 0.03 mtrL vro 0.0? mn!'& ='0.0t

1SVtu, = -0.0{ mnr. Determinc the s*atns €r ,t , *,q, and coruespondtng elenrrut

-{$*"'^Nn\

^et TURN ovER

o$tr\r

r"trDL

?,u,+sfs?'\

>b

a.P" Code: 601504

4

qS &. ConsiderauniformcrosssectionbaroflengthLmadeupofa materialwhoseYongis tB

modulus and densig are given hy E and p. Estirnate the natural frequencies of axial

vibratiEn of the bar usingboth consistent and lumped rnass matrices.

6?,/

1

ar\J\x\

\b

N\,/

AsCoordinates of the nodes of finite elernent are given by P {4,$} ""0 Hg;. Find &e

10

expression of x in terms of dwhen: S'tJ ?hird node R is aken at (6,0) Y

\\QN.I

.bs\'\bnp'

? ] Third nade R is taken at {5, S}

Csmmenton the resulL

"1s!'$

"1^e'

soct\q\

--f\'

\b

//

d^Y

.$'s)€\i

b.

1,E CMtcafArrr] ge,'1-L cbqJ vav'D*t Jotb

!,*: M D- !

(3 Hours)

Instructions:

i) Question No.l is compulsory.

ii) Solve any three questions from the remaining five questions

iii) Assume suitable data wherever necessary.

iv) Figure to the right indicates full marks.

v) Use of design data book is permitted.

mm. ni

Pt lttl;5

Q. P. Code : 60tr103

|',larks:80

(^\-!^\

1-\/

Solve any four questions from following. ,:r"\.,a) What are the iluee differeni modes of failures of mechanical :cnrpcnent? .. \ (05)

t'.b) What is self iocking and overhauling in screrv.lack? ,i (05)

c) What are the assumptions made in design of 1.reiC joi::t? d- (05)

d) What are the different types of coupling? S\ (05;

e) What are the different types of springs? What are the rr ,llffererlmateriais? (05)

+\C'a) A knuckle joint subjected to an axialpullof 80 K\ S{ec\ su;tabie materiai (16)

and design and riraw thejoint. ^Uo) \\'hat is cotter'? Why taper is provided on the cg1tbr'

n.

(04)

".]'Q.3 a) A C-clamp is subjected to a ciamping$rce of ; K'r. \Iarrn:um distance (16)o,'

between jaws is 30 mm. Distance,nEtween screw a\is a:lc tiame axis is 100,l\

b)

a)Q.4

,L^Vi) Seiect appropriate materig&frd stl'esses lbr screir, rrut and frame.

ii) Design screw and n*f, '

iii) Check screw for 4tx.{ing faiiure.(1 '

iv) Dctermine dir@dions of cross section of franre.

-\-'Y.Discuss o&{arious tlpes of threads used for pcwer screw (0,t)

VDesiertg flexibie coupling of pin bush qpe consti-rciion for connecting a (10)

red.r$Diion gear shafi to a stone crusher shaft. The unit is driven by 30 KW, 720

.^b, ,r,oto, through 5:l reduction. Choose suitabie nateriai anci their designrtl

'' stresses for the parts ofcoupling.*.-\

.j

Y_\'

l'.,

\'x,\\j

ITURN O\IERI

@

b)

Q. P. Code : 601103

A steei piate sub-iecteo to a force of 50 N and fixeci to a channei by means of (10)

three ldenticai boits, as shown. Tne bcits are rnade of piarn carbotl steel

45C8 anci the factor of safety is 3. Finri the size of the bolts.

.a-vv/* ^$-Hffi

,tl! diamer:r.'ni Jre lll nrrl -'^' \J,r/

Desrgn rhe hollow shaft tiom the si::n5- r:i r:grCil,\ corrsrderatron Eltfr\he

112)'" s.following data -..)'

ii Power to be tlansmjrg' = 'r-r

{\\ a" :ii'- r'p rr' Y

ii) Ratio of inner tc cllter" Cia:ie:e: - .r. j ^+!.\ '

iii) Overhang: 250 ntrn \.iv) Bending load = 20 KN ,\c'

. ^':v,l Pennissible angie of trvist = C.5'' ...-Selecl suitable materiai. \-

What is slress concentration? $,";'al *': :ite_l

concenilation? Discuss the varicus t€tnoi) :.1

i,'arici,s lauses ol stress (08)

i:iu;t ihe eiteci cf stress

concentratron

A helicai cotnpression.$rrhlg ls irll-13::.c il a !!]3o var)'lllg rrcm 2

maxirrurn of 9 KN, qp1{ co1.ieslondjng ieriection of 9U r-nm. Considering

(t2icotnpression snrh'tc i) i:: l varYl ng Ircrir

{)'avefage r.ar.i...$Yd spring sle€i i:a', ttlg Ltltirnate tensi)e strength

o,, = 2000ido'\Wt*,r'.*here c ;-. :!a:.l:e:e:-itl srrr"ing',uire in nrm and

G = ,30000 $iimm2.Determine^si) $rH.e'diarneter and coii diametei. iil Tr-liai nunlbels of coii''.'\'-

. iii!'Free length, pitch and heiix angie. rr; Check tor sclid stress.

' 2 of the ieaf sorins wrth r (04)t ) ,Ixplain neeprng of the ieaf spring wrth neai sketcn.

-Cc; ,\iliscuss t5c materials and practicai applicatrons lbl the various tlpes of (04);:.

.-\-; sprlngs"

.V

a)Q.s

b)

a)o.6

r)-''

,/

a*. !'. tv' i'

r.-.:.'.\:ri

_'r 'i.il!a'

,'jt'"'

\-:

)

7b I l1/ 16

-IE -SEr'.'.U CB &S f\o tt - 2old A UTO

\\ i

Sdlr ^ A S

Q.P. Code : 561801

I Total ]larks : 80=-L

( 3 Hours )

\,B.: - , Quesrron No.1 is comPulsorY'-;\tteilrptanvThreequestionsfromrematningFivequestions': ; Driu neat and labelled diagram wherever necessarY'

:-.. sr',.,f'l rlurle ofl : (Attempt any five questions out of six')

r i\\-D vehicie laYout of vehicle.: Cerinrugal clutch'

,

- r.-\ -l-: L \ i.

: R.ack & Pinion steering gear' -r': Brrke valve, -':": f .tntpanso:r of radial ryre and cross pl-v t1're' ';i

:,': , :.:'='-.>S.]'. i;nctiorral requirements andbasic prrnerple of working

.'..-....lac.xot.Constantmeshgearbox.lExpiainworkingof'.--,- '.:-. : ..'': -':

:"f atN t)i uullJL(rri

:" -- - ': . -:':S - I;lI lt]\'-'"': .. ),- :. ".'-:; .r \Ic-phsrson strut suspe'ggion'

.s{l'

--':'.: .'' pe oi gear shifting mg$halllsin'

--: 'a - --].l'laiI -!rrrr' r

: =.,-!,, radrus. : ffigPinInclination' 4'Comburedang\e

, i-,.: :-:, ;-':as .': ''i'nee1s and.ryre construction'

: ir t,:,;.i, iii.SSi]' allc ri'or'"ling of differential"

; ".t,-:'-.:.i,1:- ac-i t-ril pc\1-er steering'

rr-,a :,-, i-,-,'ihi:rcs dnve. Also explain the need of siip joint in it' 8

- \- l:-.-i :_r rLrlru'J

;..;';t ii:J..=, l.pes of brake' :1,1i lir Siiuril L-ole o11 lnultrplate clutch"

q

t,. l3i Erplain.b;.drauiic brake s.vstem in detail. Wlrat are its drawbacks?

r,: i \\ltat ari irmitarions of surgle plate clutch? Explain working and application

of muitiPlate clntch'

iC I Compare trausmission' transaxle and transfer case'

'::''4

4

4

4

4

4

4

II

8

I4

I8

l-E - se. -U ^ cB &S ' \''\Pv * Q*ol6 rI CCHn'. 1:',/^l

S cr",b - HEEQ. P. Code : 601002

(03 Hours)

II.B. : i. Question No. 1 is compulsory'2. Solve anlz three out of remaining questions.

3. Assume suitable data if required and menion it clearly'4. Figures to the;:ight indicate full marks.

[Total Marks B0]

i. (a) Define rvavelength standard and state the significance of using it.

[b) Explain the structure of Quality circle.

fc) \^,rirat do you mean by OC cuwes? Explain.

iC) \rlhat are the elrors in the threads. ,. t-l

Z. ia) What is comparator? Explain any one type of mechanicai comparafor. 10

ft) Briefl1, explain Taylor's principle of Gauge design. Whay so.-neiirnes it is desrable to

diifer from Taylor's principle?

..,'-.

{a) Define Interferornetry. Explain Laser Interferometqt-#ith neat sketch.

,i{b) Following data was otrtained during a surface fi$ish determina:ion tesi:

\.r,l

0.85 rnrn'-N-'

-\.'

:'.\/

J

f,_: -

.a- 1

i0

ic-).

Sarnpling length

!'ertical ma gni fication

Horizontle rnagnification

i0

10

10

4.

4800,

:i3ZO

Areas above the datum Line 1i2,ii.4,60,100 mm-

.f'Areas befu:w datum line '- 88,99,110,75, mm2

.. at'Find the CLA value6ffihe surface.

(a) What is Q!.f&I? Explain the t-vpes of CMM with neat sketches.,,I-,

(b) Expi*S-the use of R. chart and c chart in Quality circie.

ITurnover

: i : '. ,a ;1 in ig i10 i

ti\c. I 2 3 io---.:- ,b*-'J--i**-+-*-i--\, ; -e _-.3 --: *-

1+ -- ;3 o :,t it 'i2

:' .!ii r^!:-,^a j. ! , i i i I

--.-j

2

5. (a) The table given below shows the number of defectives found in inspection of l-0 los

of 1,00 itemseach'

i. Determine the control limits for P chart and state whether the process is in control? :';i'

ii. If the point that goes outside ttre control limits is anaiysed ind estimated' what will be the r'+fue

of new control iimits and revised fraction defectives? -..Q'' 1"0

+-

b) Explain Parkinson Gear Tester with neat diagram' t+t 10

.')'l

tr.

.!'

-\...j

206. Write short notes on:-

(a) Limit Gauges

(b) Roughness SYmbols

(c) Cause and Effect diagram

(d) Categories o{ costs

t,\.1'

1\

L

,',,'