USN 10ME71

2016Engineering Economy

Max. Marks:100Note: 1. Answer FIVE full questions, selecting

at least TWO questions from each part.2. Use of di,screte interestfoctor table is permitted.

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4 a. Fxplain: (i) MARR, (ii) IRR, (iii) Depreciation.b. Explain briefly the causes of depreciation.c. A CNC machine costs {30,00,000 is estimated to

value is estimated to be 2,50,000. Find:

PART _ ADifferentiate between: i) intution and analysis, ii) Tactics and strategy. ,

Briefly explain the law of demand and supply

compounded quarterly ( interpo late if -nece

ssary).

Explain the future worth method of comparison.

(06 Marks)

(05 Marks)

(06 Marks)

(06 Marks)(05 Marks)

serve for 8 years after which its salvage

(08 Marks)(06 Marks)

A loan of {10000 borrowed today under an agreement that t14000 is to be paid sometimein future. When should the payment be made, if the loan earns interest at a rate of \Yo

Two types of trucks ilable fo The details are as follows:of trucks are avarlable tor transooftatron use. 'l he detarParticulars Truck A Truck B

First cost ({)Maintenance cost (t) (Annual)Estimated Salvage value ({)Estimated life

[0,00,00020,000

2,0o,ooo5 years

i5,00,00015,000

5,00,00010 years

Both the truck deliver same amount of work. Assume interest rate of 7%. Which truck is tobe preferred on PW case. (10 Marks)

c. A NGO received funds of {10,00,000 from the government for the construction and up keepof the administration building for 10 years. Annual maintenance and salary of the staffestimated to be {20000 for the flrst year and likely to increase l0o/o every year upto 10 years.

In addition t25000 needed for painting every 5 years. The NGO has to make ownaffangement to earn revenue for perpetual maintenance after 10 years. What amount remainswith NGO for the construction of building if fi% interest considered? (05 Marks)

Write notes on: i) Ownership life, ii),Accounting life, iii) Economic life. (05 Marks)The flrst cost of an asset is {5,00,000. The annual maintenance in the first year is t2000 andincreases by {1000 every year upto 1Oth year. The annual income is expected to be {50000in the first year with increase of t25000 every year upto 10th year. The operating cost is

{6000 per year. The salvage value is t30000 at the end of 10tr'year. Find the equivalentannual cost of the machine at l2oh interest rate. (08 Marks)

,c. An asset was purchased five years ago for t52000. It was expected to have an economic lifeof 8 years at which salvage value would be t4000. If the function of the asset would nolonger needed for what price must it be sold now to recover the invested capital when

i) Book value of machine after 4'h and 6th year by declining balance method.il) Depreciation fund during 6th and 7'h year by SOYD method.iii) Depreciation charge by straight line method of depreciation. (08 Marks)

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(05 Marks)(07 Marks)

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(06 Marks)(06 Marks)

Seventh Sernester B.E. Degree Examination, June/Juty 2015Hydraulics and Pneumatics

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Determine the volurnetric efficiency of a gear pump of, external diameter and internaldiaraeter of gears 75 mm and 50 mm respectively and width of gear teeth 50 n:m, if the

Note: Answer FIVE fwll Ewestioms, selectingat least T'WO qwestions fro*w ewch part"

PART _ ASketch and explain structure of a hydraulic control system.Expiain the construction and working of a external gear pun1p.

actual discharge is 30 LFM at 1800 rpm ILPM: Liters per min].

Sketch and explain the working of a swash plate type piston motor.Sketch and explain double acting cylinder.

Sketch and explain pressure dependent controtr circuit.

Explain the principle of cascade controtr system.

4 a. Sketch and explain the operation of a hydraulic circuit for the controtr of a springretum-single acting cylinder. (06 Marks)

b. What is regenerative circuit? Sketch schematically regenerative circuit tc increase theextension speed of a double acting cylinder. {06 Marks)

c. What are hydraulic accumulators? Sketch and explain dead weight or gravity accurnulator.(08 Marks)

PART _ B5 a. What are the desirable propefiies of hydraulic oil? Explain them. (08 Mar[<s]

b. What are the main functions and secondary functions of a reservoir? Classify them.

3 a. Briefly classify valves based on the type of function perforrned.b. Sketch and explain the constructional features of poppet vaive.c. Sketch and explain pressure Compensated flow control vaXve.

c. Sketch and explain fuli flow filter.

6 a. What are the characteristics of cornpressed air? Explain ttrrem.6. Sketch and explain structure of pneumatic control iystem.c. Sketch and expiain rodless cylinder.

A hydraulic motor has a volumetric displacement of 123 cm3. lf it receives 0.0009 m3/sec ofoil at 50 bars.Find (i) Speed of the motor (ii) Theoritical torque (iii) Theoretical power of the motor.

(08 Marks)

(04 iVlarks)

(0S Marks)(8E Marks)

(06 Marks)(06 Marks)

(06 Marks)(08 Marks)(06 Marks)

7 a. What are flow control valves? Draw graphical symbols for F.C.V. (s4 Martcs)b. Sketch and explain consttuction and principle of operation of a quick exhaust valve.

(08 Marks)(08 Marks)

(06 Marks)List advantages of solenoid controlled pilot operated directional control valve. (s4 Marks)List different types of compressor. Explain with a neat sketch production of compressed air.

(10 Marks)>f*rk**

USN

5a.b.c.

10ME,754

2016

Max. Marks:100

Seventh Semester B.E" DegreeNon-Gonventional

Time: 3 hrs.

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PAR,T _ Aa. What are the conventional and non-conventionai energy sources? Explain briefly. (08 Marks)

b. With sketches, explain the production of oil from ail shale and Tar sands. (12 Marks)

Explain the working principle of pyrheliometer with sketctrr.

Define the following terms:

(10 Marks)

(10 Marksi(r) Latitude(iv) Hour angle

(ii) Zenith angle(v) Local apparent time.

(iii) Solar altitude angle

a. Explain beam, diffuse, reflected and total radiation flux on a tilted surface. {07l\{arks}b. Calculate the monthly average hourly radiation falling on a flat-plate collector fa"cing south

(Y: 0) with a slope of 15o, given the following data:Location : Chennai ( 13" 00' N)Month: October

t* : Z+Oa kJim2-h

Time : 1 100 - l20ti h (LAI')Ia : 1073 kJ/tn2-h

Assume ground reflectivity to be 0.2 representative day in October (October 15th) los tttarks)c. Name the different types of solar thermal power cycles and exptrain any one type with a neat

sketch. (88 Marks)

a. With neat sketch, explain liquid flat-plate collector. (10 Marksib. Plot the variation of r. , tu and r with the angle of incidence lirr the follovring covsr system:

Material: GlassThickness of each cover : 4 mrnExtinction coefficient of glass : 15 mr

Number of covers : 2Refractive index of glass relative to air : 1.52

Angle of incidence : 15"

PART:BWith a sketch, explain principle of working of a solar cell.With a neat sketch, explain the vertical axis wind machine.

(tr0 Marks)

{SE &,[arks)

{S4 Marks}A wind turbine generator is designed to produce 3.5 x 106 kWh/year with a plant coeffrcieniof 0.45. The conversion efficiency is 0.73. The mechanicatr, generator etficiencies are 0.9and 0.96 respectively. The wind velocity is 45 kmph and air density of 1.185 kg/m3 and a

temp. of 25'C. Calculate the required rotor diameter and power cr:efficient. (08 Manks)

6 a. Explain the harnessing energy in Tidal power plant with a sketch. (sE Marks)b. With a neat sketch, explain the working principle of OTEC (closed) fhnt. {08 Marks)c. State the environmental problem associated with geothermal energy conversion. (S4 Marks)

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What is anaerr:bic digestion?With a neat sketch, expiain the Indian bio-gas plant.Write brief note on Energy Plantation.What are the applications of Bio-gas?

10ME754

(02 Marks)(10 Marks)(05 Marks)(03 Marks)

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What are the clifferent methods of producing hydrogen? Explain any one of them. {10 Marks)Write brief notes on :

D Transportationoflhydrogenir) Storage of hydrogen

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Seventh Semester B.E. Degree Examination, June/Juty 2016Experirnental $tress Analysis

Time: 3 hrs. Max. l\{arks:l0ONote: Answer FIYE fwlt qaestions, selecting

st least TWO qaestions lronn each part"

EaB.T -,41 a. Define gauge factor and derive the equation to deterrnlne the gauge factor for an eleetrical

resistance strain gauge. {ls Marks}b. Derive the governing equation of potentinmeter used for strain measurement. (trS Marks)

2 a. A two element rectangular rosette is used to cletermine the two principal stresses at a point ifE1 : 860prm/m and E, : -390pn/m taking E : 2A7 GPa ancl Foisson's ratio as 0.3.Find or and oz. (85 Marks)

b. A delta strain rosette bonded on to the surface of a structural niernber yields the foliowingstrain when the structure is loaded E6 : +500pnVm, 8126 : -250 prnim and Ez+o: +250 prm/rn.

Given K : -0.07 and Vo : 0.285. Deterrnine the magnitude arrd directions of principalstrains and stresses as the point when the strain rosette is bonded. Take E : 80GPa andPoisson's ratio as 0.3 for the structural member.

3 a. Derive the stress optic law, as applied to two dimensional photoelasticity.b. Explain the calibration technique used for photoelastic circular disc under

compression.

4 a. List the irnportant properties of an ideal photoelastic material.b. Determine the individual values of or and 62 using sheor difference rnethod"

PART _ts-

5 a. Explain with neat sketctr, the concept of,stress- freezing method.b. With the help of neat diagrarn, explain the scattered light polariscope.

6 a. Discuss briefly, Birefiingence coating stresses and explain the isochrornatic and isoclinicfringe patterns in a tsirefringence coating. (trS Marks)

b, Explain the effect of Poisson's ratio rnismatch. (05 Marks)

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(trS Marks)diametrical

(10 Marks)

{10 Marks)(tr8 Marks)

(1CI Marks)

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List and explain types of Brittie coatings.Discuss briefly the advantages and applications of Brittle coating.

Explain Moir6's method f,or out of plane dispiacement measurement.

(10 Manks)(n0 N4arl*s)

(10 Marks)Discuss briefly the advantages and applications of Moird metliod of strain Analysrs.

(tr0 Marks)

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1OME72USN

Seventh Semester B.E. Degree Examination, June/Juty 2016

Mechanical Vibration.":]

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Note: Answer FIVE full qaestioms, selectingat least TWO questions from each pavt"

PART _ ADefine the following terms :

(i) Periodic motion (ii) Degree of flreedom (iii) R.esonance (iv) Fhase difference.

Add the following motion analytically and check the solutions graphically. (04 Marks)

ilil::ilil".r'.l,hi; -ff:iJil;#i rb*owing Fig er(c) by harrnonic series (08 Marks)

Deter..rqine the natural frequency of spring mass systerar taking the mass of the spring intoaccount. {10 Marks)

Set up differential equation for a spring mass damper system and obtain the completesolution for the under damped condition. (08 Marks)Derive the equation of motion for the system shown in Fig. Q3(b). If m: 1.5kg,K:4900N1m, a:6crn, b: l4cm, determine the value of ooC" for which the system iscritically damped. (86 Marks)

Fig. Q3(b)Rod is stiff and ofnegligible mass

(08 Marks)

2 a. Find out the natural frequency of the system shown in Fig. Q2 (a) by using (i) Newton'smethod (ii) Energy method. (trO Marks)

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b.

3a.'b.

Fig. Q1(c)

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. 10iM872

In a spring mass system, the mass of 10kg rnakes 40 oscillations ln 20 seconds withoutdamper. Wilh damper, the amplitude decreases to 0.20 of the original value after 5oscillations. Find out (i) stiffness of the spring (ii) Logarithmic decrement (iii) Dampingfactor (iv) Actual damping coefficient. 106 Marks)

Define the term "Transmissibility", and derive the expression for transmissibility ratio due

li h1:il#'"iir??li?J; is acted upon by an external force 2450N at a frequener;#l#ill?To reduce the effects of vibration, isolator of rubber having a static deflection of 2mm underthe machine load and an estirnated darnping factor of 0.2 are used. Determine:

i) Force transmitted to the foundationir) Amplitude of vibration of the machineiii) Phase lag of the transmitted force with respect to the external force.

PART _ BDiscuss the principtre of operation oEli6Giiter and an accelerometer. Draw the relevanrfrequency response curve (10 Marks)

4a.

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A shaft 1.5rn long is supported in flexible bearing at the ends carries a wheel of 50kg massat a distance 0.375rn from the left hand side bearing. The shaft is holtrow of externaldiameter 75n',rm and intemal diameter 40mm. the density of the shaft material is 7.7 Mg/m3and its modulus of elasticity is 200GN/m2. Find the whirling speed of shaft, taking into

(12 Marks)

(10 Marks)

absorber with(10 Marks)

Also draw the mode shapes(tr0 Marks)

account the mass of the shafc.

what is dynamic vibration absorber? Expiain briefly the dynamic vibrationdiagrarn and equations.Find the natural ftequencies of the system shown in Fig. e6(b).and locate the node.

Fis. Q6(b)

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Seventh Semester B.E. DegreeOperations

Time: 3 hrs"

Research

10M874

Max. Marks:100

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Note: Answer any FIVE full questions, selectingatleast TWO questions.from eack part.

PART _ Aplane has 3 compartments for storing cargo: front, centre and rear. Thesents have the followine limits on both wei ht and

Furthermore, theproportion of that

weight of the cargo in the respective compartrnents must be the sarnecompartment's weight capacity to maintain the lbalance of the plane. The

(12 Marks)

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following four ca are avarlable tor sh on the next tlisht:Carso Weisht (Tonnes) Volume (Cubic meters) Profit (fiTonne)

Cr IB 480 310Cz 15 65CI 380Cr /.J 580 35f)L.4 t2 390 285

Any proportion of these cargoes can be accepted. The objective is to determine how much ofeach cargo Cr , Cz , C3 and C+ shouid be accepted and how to distribute each amcng thecompartments so that the total profit for the flight is maximized.Formulate the above problern as a linear program.Solve the following problem using graphical method.Maximize Z:2xr * 3xzSubject to 2x1 + xz < 6

. X1 -xz> 3

X1,X2)Q

$olve the following linear programming problem using simplex method.Maximize Z: 6000xr + 4000x2

Subject to 4x1 + 3xz < 350

2x1* xz < 160

2xt*3xz<300X1,x2)0

Solve by dual simplex method the following problem.Minimize Z = 2x1* 2xzt 4xtSubiect to 2x1 * 3x2 * 5xr > 2

3x1 +1r+74<3\*4xzf6x3<5

Xl,X2,X:)0

(10 Nlarksi

(10 Marks)

TIIE ve [rg ilIlllts ()II w€ ce.

Compartment Weieht capacity (in Tonnes) Space capacitv (in cubic meters)Front t0 6800Centre to 8700Rear 8 5300

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(08 Marks)

1oME,74

3 a. ,4. product is produced by four factories A, B, C & D. The unit production counts in them areA - 50 units; E - 70 units; C - 30 units and D - 50 units. These factories supply theproduct to four stores, demands of which arc25,35, i05 and 20 units respectively. Unittransport cost in Rupees from each factory to each store is given below.

1234ADDI

DDetermine the extent of deliveries &om each factory to each of the stores so that the totalproduction and transportation cost is minimune. (12 Marks)Four new machines Mi, Mz, M: & Ma are to be installed in a machine shop. There are fivevacant places A, B, C, D & E. Because of limited place, machine M2 cannot be placed at Cand M3 cannot be placed at A. C; , the assignment cost of mactiine i to place j in <ioilars isshown'elow

A B c I) EMrMzM,r

M+Find the optimun'l assignment scheduie.

Solve the foilowing using Gomory's cutting plane algorithm.V{axirnize Z:20000xr + 30000x2Sub.jectto 2x1*x2<6 i xr+2x2<8; x1 -x2<l ;

)11 , K2 ) 0 and are integers"

(08 Marks)

xt</(20 Marks)

PART _ B5 a. A project schedule has the follo characteric wmg cnaracterffitlcs:

Activitrr Time (Weeks) Activity Time (Weeks)I' A, 5-6 4taI --1 I <-7 8\AL -.-* 1 5-8 1

2.A1

1AI -U 21FJ-J 5 8-i0 5

4-9 5 9- 10 7i) Construct the network and compute E & L f,or each event"iil Find the critical path and project duration.

b.

6a.b"

What are the characteristics of a project? Also define the FERT and crashing cost.

Define five operating characteristics of a queueing system.

(12 Marks)(08 Marks)

(10 Marks)A self-service store enrploys one cashier at its counter. Nine custorners arrive on an averageevery 5 minutes while the cashier can serve i0 customers"in 5 minutes. Assurning Poissondistribution for an-ival rate and exponential distribution ttrr service time, findD Average no. of custorners in the systern.ii) Average no. of customers in the queue.iii) Average tirne a custoffier spends in the system.iv) Average time a customer waits before being served.

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(10 Marks)

':."\--4'1 a. Reduce the following garne by dominance and find the gam#te.a[ue-t-' '

Player B1234

10M874

(10 Marks)

(10 Marks)

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b. Solve the following game by the graphical method.Player B

1234Player 1

A2

8 a. Six jobs A, B, C,Assuming that no

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D, E & F have ar"rived at one time to be processed on a single machine.w.jobs arrive thereafter, determine

Job A tsi C D E FProcessing Time (in minutes) 7 6 8 4 J 5

i) Optimal sequence as per SPT ruleii) Cornpletion time of the jobsiii) Mean flow timeiv) Avg. in process inventory.

b. There are seven jobs, each ofwhi.h has to go through theProcessing times in hours are gi

Determine a sequence of these jobs that willidle time for bbth the machines.

(08 Marks)

rnachines A & B in the order AB.

minimize the total elapsed time. Also find the(12 N{arks)

tJ 2 4 0aJ 4 2 4

4 2 4 0

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are glven as

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Machine A J 12 15 6 t0 ll 9

Machine B 8 10 t0 6 t2 I .,

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