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c Fb' r)Determine the section of C.I. SFor* cylindrical coiumn 6 m long with end.s
*o: A hollow circular shaft of 80 rnrn internal diameter and 15rffi, external
diameter is subjected to a torque of 70 kN-m. Find rna\i&-rr shear stress
Ceveloped. /tDraw shear force and bending moment diagram for the$m sh6wn in fig. no.l
}o fir::rly fixed. The ratio of ex5@i to :n:emal ciiarneter is i.3 and carries an axiaiIoari of 500 KN. Use fac.t$sotf safen as 6. Take c-:5C0 N'rnm2 a:rC R.ankire'sConstant, o = 111600. .r$
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^$f .B. ; -', Question No. I is compulsory.I r Answer any three questions frome the remaining five questions. ,J.1"; -{ssume suitable data wherever necesssary. --r{-4"i Figures to the right indicate full marks. oi
-:\-- -:";:c.;: Any FIVE. {*0z gzrv Stress- Strain ourve for ductile material & explain salient points orufi-
: T'1tat are the assumptions made in simple bending. Derive flexural forqBl-a.: .i. s:eel spherical sheil of radius 600 mm has a wall thickness f.{'mm.
De:ermine maximum stress caused due to internal pressure of O$X/mni2.Take, E= 210 GPa and Poisson's ratio as 0.3 ^ c
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(b) Draw SFD and BMD for the beam shown in fig, no 3.
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fig;. no 4. Find tf6$rune, in 10s\$."8o
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i0.br .i s.,., lcng su:.pty s'.:f,pcrteo u..r.€#;d,ed wirh ;r.; of 50 KN/m overerti:e ssar as s:o\+T in fig. no. $wFind shear force and bending momentEagr:ude :c be res:steC ar ap&atlon I.4 m, from end A Draw shear forced:si-:u:on ciiagram. .C
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.l. 4 m long steel bar of square cross section of 40 rnm side is heated through 10 dP'-5" C with its ends clamped before heating. Calculate the thrust exerted by \v'
(i) if the clamps do not yield ^f,(ii) if the clamps yield by 0.6 mm \\
Ta-<e, E = 200 GPa & cr= 11.5 x 10{ /0C -.f,Ashaft is used to transmit 40 KW at 200 r.p.m. Calculate the diarneter ofslg$- 10
if the angle of nruist is not to exceed l0 in a length of 25 times the diameg$fsraft and maximum permissible shear stress is not to exceed 100-{lim2.Take, G: 84 GPa. If the shaft is replaced by hollow shaft with tF{iatio ofiiiameters as 0.6, find inside and outside diarpeter of the shaft.6"
Draw SFD & BMD for the beam shown in fig. no. 6. {sro' 8
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ii Determine instantaneous stress u@Uifo*ation of a rod of length l.2m and
tbe diameter 8 mm, if a masspl9O tg falls through a height of 15 ern andf.tme olamfier 6 mm, rI a masspyu xg latls througn a hetght ot 15 em and
strikes the bottom of the rod*@'e rod is freely suspended and fixed at the top.Take, E = 210 GPa. iCWhat is the minimu^q5E'tual Iength of the column for which Euiar'sformula hold good,.q*rte cross section of uniform column is a squa:e cl srie150 mm, The coft$6 has one eni hingeci and rh: o*.er e:i:-rxec. la-<=o.=250 N/mm|frd E:200 GPa.
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6. (a) Determine deflection at the free end 'C' for the beam shown in fig'
Take, E: 200 GPa and I: 15 x 10'6 ma'
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^.. n-onn r1r\r ^^ -r.arrrn i- ffc nn R Find the stress intefuities at the tburof P:800 KN as shown in fig. no. 8. Find the stress inlq$ies at the four{
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?rlA steel rod 5m iong qp$E$ mm in diameter is subjected to an axial tensile
force of f OOO fN..g1i the changes in iength, diameter and volume of the
rod. Take, E = 2SFPa and poisson's ratio of 0.3
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: Allenpl any three questions out of remaintug five cluestions
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: Assume suitable data wherever necessary'
j.; Notations carrY usual meaning'
ilotal h'Iarks : 80 .$n\
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:xllain various welding defects with their catlses and remedies' fr\'Difrerentiate behveen soldering and brazir"rg . O"Ccmpare transfer molding and compression n-rclding'
.+dA cyiindrical riser is to be designed lor a sand casti'g *rould' The$e of stee I
casiing is 7.5 crnx IZ.5 em X 2crn. rir. pr.rlo]rr;#;il#S"dicated that tne
:ctat JoiiOification time for casting is 96 sec' '.L/
The cylinder riser have ( d/h) =I. Find the size of riser:RF'its soiicifica:ic:
Time is 120 sec. .+-Discuss friction welding with its applications ' tr1tDifferentiate between open and closed die fotgtS-
o'(Drscuss varlous rolling defects' (pDifferentiatebetweencoreandcorePrqp" .,.,-^:+- -,- --:with a neat sketch explain resistanceEfldingprocess gr\'r:rg r's zll^';:"-":
\J{,' -i) Write advantages and dis advanEpds of powder IrIe i&il-r-r'
.:r With a neat sl<etch explain srqx$ng process
, cl \4rat are the dlffereniNTQplihods? Expta:n an\':\i:):r':::': --r ':' -='=
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: .a) Explainthe scr.eu,il^1Qhr'iectronmor.rldi'grvith:ie::Si=iJ--: I'':-rs --::ia 'i-a-i'
iinritationsandaB(ilations' !. --,.'l) Discuss ditfere4r{r-ethods of rnakingporvde:: i:' p: '''-3: '-3::.-:='
icl a,*pluin difslh: gas weicling equipme nts
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5. B. : (i) Question No. 1 is compulsory(2i Solve any three questions from remaining five questions(3) Assume suitable data(4) Use of Mollier Chart and Steam Table is permitled
I ,{nsrver any Five of the follorn'ing :
al State the first law of thermodynamics for the Closed system undergaing a cycle.:) Explain Zeroth Law of Thermodynamics. ._\c) Show that entropy is proporty of system.
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C) Define Availability and Unavailabiliry. .Ue) Define COP for refrigerator and heat pump. Derivo.relation between thq6ffl Define (i) Dryness Fraction (ii)'sensible heat of r@r
(iii) Latent heat of vapourisation (iv) Supe:'heated S/@^V
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Q2) a) State the Kelvin Planck and Clausius statement and estabiish.(9 equivalence of both forSecsnd law of Thermodynamics. ,N [0gl
b) One kg of dqysaturatsd steam undergces ,, ;r.nt opio$nsion process from l0 bar toI bar.Determ.ine the final condition of steam and tlg$rAit< done when the expansion takes place.(i) In a cylinder fitted with a piston , (}(ii) In a turbine 6;1( UZj
Q3) a) :j:fijJ*
derive Steady flow enbrgy .c"1Usf"O apply it to a boiler, condenser, nizzte and,
b)LiquidOctaqe C,H,, at,r'U,O*dastuef.Airusedis I50%oftheoreticalairand,,
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Q4) a) Derive an expression for efficiency of Diesel cycle, [08] - I
b) A mass of air initially at 2A6'C is at a pressure of ?bar and has a volume of 0.03m3 The i, I
air is expanded at constant pressure to 0.09m3, a polytropic process with n = 1'5 is-then i\. carried out,'followed by a.constant temperature process which completes the cycle..All the ,>r-- processes are reversible. Sketch the cyole on pressure-voLume diagram and find the heat ..{Y ,
received and heat rejected in the cycle. .. STat<e R. * 0.28,1 KJlKgK, Cu : 0.tr t3 KIKgI(
Stq{l. !> t04lO5) a) Explain Maxwellrelations. .{r
b) Explain Clausius - Clapyeron Equation t"f t04l
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iiiil rntr,urpy of combusrion ii"; eaiotuil,: flame tffilamre [08]
b) A reversible engine receives heat from two thermal ,"r",roffi1ined at constant
temperarures of-ZSOf and 500K. The engine develops 10!$$f andrejects 3600KJ/min of heat
to a heat sink at 250K. Determine the heat supplied by gf&Yhermal reservoir and thermal -- _:
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