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DME 211

B.Tech. DEGREE EXAMINATION, DEC. - 2013

(Examination at the end of Second Year)

Mechanical Engineering

Paper – I : Engineering Mathematics - III

Time : 03 Hours Maximum Marks : 75

Answer Question No. 1 Compulsory (15 × 1 = 15)

Answer one Question from each UNIT (4 × 15 = 60)

1) a) Define Euler’s formula for fourier series.

b) Define Parsval’s formula.

c) Define complex form of Fourier series.

d) Define Fourier transform

e) Define inverse Fourier consine form.

f) Define shifting property of Fourier transform.

g) Define convolution theorem.

h) Define Normal distribution.

i) Define continuous random variable.

j) Define sampling distribution of mean.

k) Define point Estimation.

l) Define Null hypothesis.

m) Define critical region

n) Define standard error.

o) Define Beta distribution.

UNIT - I

2) a) Find the complex form of the Fourier series ( ) cosf x ax x= − π < < π

b) Obtain the fourier series expansion of sinx x as a cosine series in (0, π)

OR

3) a) Express ( )f x x= as a half range cosine series in 0 < x < 2

b) Obtain fourier series for the function

21 0( )

21 0

x xf x

x x

+ − π ≤ ≤ π= − ≤ ≤ π π

UNIT - II

4) a) Find the Fourier cosine transform of 2xe− .

b) Prove that 2 2 2 20 ( )( ) 2 ( )

dt

a t b t ab a b

∞ π=

+ + +∫ using parseval’s identity.

OR

5) a) Solve the integral equation 0

( ) cosf x x dx e

∞−∝α =∫

b) Find the fourier sine transform of e-|x|

hence show that 2

0

sin, 0.

1 2

mx mx edx m

x

∞ −π= >

+∫

UNIT - III

6) a) An inspector examines every twentieth piece coming off an assembly line. List some of

the conditions under which this method of sampling might not yield a random sample.

b) If the amount of cosmic radiation to which is a person is exposed while flying by jet a

cross the united states is a random variable having the normal distribution with

4.35 mrem and 0.59 mrem.µ = σ = . Find the probabilities that the amount of cosmic

radiation to which a person will be exposed on such a flight is (i) between 4.00 and

5.00 mrem (ii) at least 5.50 mrem.

OR

7) a) If independent random samples of size n1= n2 = 8 come from normal populations

having the same variance, what is the probability that either sample variance will be

atleast 7 times as large as other.

b) How many different samples of size n = 2 can be chosen from a finite population of

size (1) N = 6, N = 25

UNIT - IV

8) a) The mean weight loss of n = 16 grinding balls after a certain length of time in mill

slurry is 3.42 grams with a standard deviation of 0.68 grams. Construct a 99%

confidence interval for the true mean weight loss of such grinding balls.

b) Suppose that for a given population with 8.4σ = square inches we want to test the null

hypothesis 80.0µ = square inches against the alternative hypothesis 80.0µ < square

inches on the basis of a random sample of size n = 100.

(OR)

9) a) A sample of 10 measurements of the diameter of a sphere gave a means of 12 cms and a

standard deviation 0.15 cm. Find 95% confidence limit for the actual diameter.

b) A company claims that its light bulbs are superior to those of its main competitor. If a

study showed that a sample of n1 = 40 of its bulbs has a mean life of 647 hours of

continuous use with a standard deviation of 27 hours, while a sample of n2 = 40 bulbs

made by its main competitor had a mean life time of 638 hours of continuous use with

a standard deviation of 31 hours does this substantiate the claim at the 0.05 level of

significance.

(DME 212)




(Paper – II : MECHANICS OF MATERIALS


Answer Question No. 1 compulsory (5×3=15)

Answer one question from each unit. (4×15=60)

1) a) What is the principle of Super position? Explain its uses.

b) Explain the significance of Mohr’s circle and its uses.

c) What is shear centre?

d) What is indeterminate beam?

e) State any four theories of failure.

Unit - I

2) A steel bar of 4 m long is 32 mm in diameter for 1m of its length, 28 mm in diameter for 2m,

and 25mm in diameter for the remaining length. The bar is kept in tension, with stress in the

smallest section being 110 N/mm2. If E = 2.127105N/mm2 calculate the total elongation of the

bar and the energy stored in it.

OR

3) a) A steel tube 40 mm internal diameter, 2.5 mm thick and 6m long is covered throughout

with copper tube 3mm thick. The tubes are firmly united at their ends. This compound

tube is subjected to tension and the stress produced in steel is 85 MPa. Determine

i) elongation of the tube

ii) stress in the copper tube

iii) load carried by the combined tube. Take Esteel = 205 kN/mm2 and Ecopper =

110kN/mm2.

b) Write expressions for the relations between

i) ‘Modulus of Elasticity’ and ‘Shear Modulus’.

ii) ‘Modulus of Elasticity’ and ‘Bulk Modulus’, and hence derive the relation among

the three elastic constants.

Unit - II

4) a) Derive the torsion equation for a circular shaft of diameter ‘d’ subjected to torque ‘T’.

b) Find the torque that can be transmitted by a thin tube 6 cm mean diameter and wall

thickness 1 mm. The permissible shear stress is 6000 N/cm2.

OR

5) A rectangular block of material is subjected to a tensile stress of 100 Mpa on one plane and

tensile stress of 48 Mpa on a plane at right angles, together with shear stresses of 65 Mpa on

the same plane. Find:

i) The magnitude of principle stress.

ii) Magnitude of greatest shear stress.

iii) The direction of principle plane.

iv) The normal and tangential stresses on a plane at 20o with the plane carrying greater

stress.

Unit - III

6) a) Define the terms ‘Shear Force’ and ‘Bending Moment’.

b) Draw shear force and bending moment diagrams for the beam shown in Fig.

OR

7) A simply supported beam of length 8m carries a load that varies from zero at the left support

to 4kN/m run at midspan and decreases to 1kN/m run at the right support. Draw the shear

force end bending moment diagrams.

Unit - IV 8) Determine the position of the shear centre for unequal I-section shown in the figure.

OR

9) A T-shaped cross-section of a beam shown in figure is subjected to a vertical shear force of

100KN. Calculate the shear stress at the neutral axis and at the junction of the web and the

flange. Moment of inertia about the horizontal neutral axis is 0.0001134 m4.

(DME 213)



MECHANICAL ENGINEERING

Paper – III : Kinematics of Machines


Answer Question No. 1 is Compulsory (15)

Answer ONE question from each unit (4 × 15= 60)

1) Write brief note on:

a) Difference between structure and Mechanism?

b) Kennedy’s theorem.

c) Instantaneous centre.

d) Freudenstein equation.

e) Knife edge follower.

f) Under cut in gears.

g) Reverted gear train.

Unit - I

2) Sketch and explain in detail about Elliptical trammel, scotch yoke mechanism

and Oldham’s coupling with neat sketches.

OR

3) What is constrained motion and its theory? Describe Grue-Bler’s criterion for

plan Mechanism?

Unit - II

4) A crank and rocker mechanism ABCD has the following dimensions: AB =

0.75m, BC = 1.25m, CD = 1m, AD = 1.5 m and CF = 500 mm. AD is the fixed

link. F lies on BC produced. Crank AB has an angular velocity of 40 rad/s

counter clock-wise and a deceleration of 100rad/s2 at the instant angle DAB =

60º. Find

a) The instantaneous linear acceleration of C and F and

b) The instantaneous angular velocities and accelerations of links BC and CD.

OR

5) a) Explain in detail about Coriolis component of acceleration.

b) Explain Klein’s construction for reciprocating engine mechanism.

Unit - III

6) a) Explain the classification of synthesis problem.

b) Explain in detail about precision points for function generation.

OR

7) Draw the profile of a cam operating a knife-edge follower for the data: Follower

to move outward through a distance of 25 mm during 100 degrees of the cam

rotation; dwell for the next 50 degrees of rotation; return to its original position

during 120 degrees of cam rotation and to dwell for the remaining 90 degrees of

cam rotation. The cam is rotating clockwise at a uniform speed of 400 r.p.m.

The minimum radius of the cam is 40 mm and the line of stroke of the follower

is 12 mm offset from the axis of the cam. The displacement is to take place with

uniform acceleration and retardation on both the outward and return strokes.

Unit - IV

8) A pair of 20º full depth involute spur gears having 30 and 50 teeth respectively

of module 4mm are in mesh. The smaller gear rotates at 1000 r.p.m. Determine

a) Sliding velocities at engagement and at disengagement of pair of teeth

b) Contact ratio.

OR

9) An epicyclic train is composed of a fixed annular wheel A having 180 teeth.

Meshing with A is a wheel B which drives wheel D through an idle wheel C, D

being concentric with A. Wheels B and C are carried on an arm which revolves

clockwise at 90 r.p.m. about the axis of A and D. If the wheels B and D have 30

and 48 teeth respectively, find the number of teeth on C and the speed and the

sense of rotation of C.

(DME 214)

B.Tech. Degree Examination, DEC. - 2013



Paper – IV : FLUID MECHANICS

Time: 03 Hours Maximum Marks: 75

Answer Question No. 1 is compulsory. [15]

Answer ONE question from each unit [4 × 15 = 60]

1) Write brief note on:

a) Vapor pressure?

b) Pascal’s law?

c) Define velocity potential and stream function?

d) Bernoulli’s equation applications?

e) Water hammer?

f) Boundary layer thickness?

g) Mach cone?

UNIT - I

2) a) Lateral stability of a long shaft 15cm in diameter is obtained by means of

a 25cm stationary bearing having an internal diameter of 15.025cm. If the

space between bearing and shaft is filled with a lubricant having a

viscosity 2.5×10-2

kg s/m2 (0.245 N-s/m

2), what power will be required to

overcome the viscous resistance when the shaft is rotated at a constant

rate of 180 r.p.m?

b) Enunciate Newton’s law of viscosity and distinguish between Newtonian

and non-Newtonian Fluids?

OR

3) a) Distinguish between gauge pressure, absolute pressure and vacuum

pressure.

b) What forces influences the motion of (i) a ship (ii) a sub marine (iii) an

aero-plane flying at Suspension speed?

UNIT – II

4) a) Define strem function and explain its characteristics?

b) If for a two dimensional potential flow, the velocity potential is given by

φ = X(2Y-1) Determine the velocity at the point P(4,5). Determine also

the value of stream function ψ at and point P?

OR

5) a) Derive an expression for Bernoulli’s equations for flow along a stream

line?

b) Explain orifice meter in detail with diagram. Also derive an expression for

finding out the actual discharge from a given orifice meter?

UNIT – III

6) a) What do you understand by the terms: major energy loss and minor energy

losses in pipes?

b) Find the loss of head when a pipe of diameter 200mm is suddenly enlarged

to a diameter of 400mm. The rate of flow of water through the pipe is 250

liters/s.

OR

7) a) Sketch and explain the hydraulic gradient and total energy line for an

inclined pipe and horizontal pipe discharging freely in atmosphere?

b) A pipe 20cm diameter and 1800m long connects two reservoirs one being

30m below the other. The pipe line crosses a ridge whose summit is 7.5m

above the upper reservoir. What will be the minimum depth of the pipe

below the summit of the ridge in order that the pressure at the apex doesn’t

fall below 7.5m vacuum. The length of the pipe from the upper reservoir to

the apex is 300m. Taking f = 0.032 determine the rate of flow to the lower

reservoir in lit/min?

UNIT - IV

8) a) Define and derive the expression for displacement thickness?

b) For laminar boundary layer on a flat plate held parallel to a stream of

uniform Velocity, determine the location of the section where drag up to

that section is twice the Drag on remaining region?

OR

9) a) Calculate the diameter of a parachute to be used for dropping a body

weighing 1000N so that the maximum terminal velocity of dropping is

5m/s. The drag coefficient for parachute which may be treated as

hemispheroid is 1.3 and the value of the mass density of the air is 1.2

kg/m3?

b) How does the drag coefficient change with

(i) surface roughness (ii) turbulence level?

(DME 215)

B.Tech. DEGREE EXAMINATION, DEC. 2013



Paper – V : BASIC THERMODYNAMICS


Answer Question No.1 compulsory (15)

Answer One question from each unit (4x15=60)

1) a) Write about property and state of a substance.

b) Define work

c) State entropy of a system

d) Define enthalpy

e) State Carnot cycle

f) Define thermodynamic surfaces

g) Define critical point temperature. When it exists?

UNIT - I

2) a) What do you mean by macroscopic and microscopic view points?

Differentiate each other.

b) Write the differences between system and control volume.

OR

3) a) A gas undergoes a reversible non-flow process according to the relation P =

(-3V+15) where V is the volume in m3 and P is the pressure in bar.

Determine the work done when the volume changes from 3 to 6 m3.

b) State the zeroth law of thermodynamics. Explain how it forms the basis for

temperature measurement?

UNIT - II

4) a) State the limitations of first law of thermodynamics.

b) What is a thermal energy reservoir?

c) An engine operating on a Carnot cycle works with in temperature limits of

600K and 300K. If the engine receives 2000KJ of heat, evaluate the work

done and thermal efficiency of the engine.

OR

5) Define specific heats at constant volume and constant pressure and hence

deduce a relation between two.

UNIT - III

6) Give Kelvin Planck statement and clausius statements of the second law.

OR

7) a) Calculate available energy in 40kg of water at 75oC with respect to the

surroundings at 5oC the pressure of water being 1atm.

b) What is meant by availability? Explain clearly.

UNIT - IV

8) a) Discuss the use of air standard cycle analysis for the study of internal

combustion engines.

b) An engine of 250 mm bore and 375 mm stroke works on Otto cycle. The

clearance volume is 0.00263m3. The initial pressure is limited to 25 bar,

find the following: (i) The air standard efficiency of the cycle. (ii) The

mean effective pressure for the cycle.

OR

9) a) Explain T-S diagram for a pure substance?

b) Steam at 10 bar and 3000C passing through a convergent-divergent nozzle

expands reversibly and adiabatic ally till the pressure falls to 2 bar. If the

velocity of the steam entering into the nozzle is 50m/sec. Determine the

exit velocity of the steam.

(DME 216)

B. Tech. DEGREE EXAMINATION, DEC. - 2013



Paper – VI : MATERIAL SCEIENCE & METALLURGY


Answer Question No. 1 Compulsory (15)

Answer one question from each unit (4 × 15 = 60)

1) Write brief notes on :

a) What is FCC crystal system?

b) What are the use phase diagrams?

c) Explain why copper is a suitable material for automobile radiators.

d) What are the methods used in the production of metal powders?

e) Name the important mechanical tests, which give valuable information

about metals and alloys.

f) Draw a typical S N curve for Mild steel.

g) How martensite is formed?

Unit - I

2) Write short notes on any two of the following:

a) Explain BCC, FCC and simple cubic crystal systems and calculate the

atomic radius, no of atoms, atomic packing factor for them.

b) Draw the equilibrium diagram for two metals completely miscible in the

liquid state and partially miscible in the solid state. Show how the diagram

can be used to predict the equilibrium proportions of phases present for two

alloys. Sketch the microstructures you would obtain in the two alloys

chosen.

OR

3) a) What is meant by solid solution? Explain in detail about different types of

solid solutions.

b) Explain Eutectic and Pertectic system of equilibriums with neat diagrams.

Unit -II

4) a) Explain the manufacturing and applications of Grey cast iron and Nodular

cast iron.

b) Write short notes on :

(i) Cooling transformation diagram (ii) age hardening

(iii) Normalizing (iv) Tempering.

OR

5) a) What are the objectives of heat treatment of metals? Distinguish between

full annealing and process annealing.

b) State the effect of adding following alloying elements to steel: Nickel,

Chromium, Manganese, Vanadium.

UNIT - III

6) a) Contrast mechanical and hydraulic compacting presses with regard to

advantages, disadvantages and applications.

b) Explain the following : (i) Induction hardening. (ii) Flame hardening.

OR

7) a) Draw a typical creep curve and explain different stages of creep.

b) Explain the following : (i) Modes of fracture (ii) Cup and cone fracture (iii)

Fracture toughness.

Unit - IV

8) a) Enlist the properties of pure aluminum and mention the composition, properties

and application of any one aluminum alloy.

b) Describe briefly, the sequence of operations involved in making powder

metallurgical component?

OR

9) a) Explain in detail about sintering?

b) Explain metal and organic coatings? And give detail about cathodic protection

against corrosion.

(DME 217) B.Tech. Degree Examination, DEC. - 2013



Paper – VII : MACHINE DRAWING


Answer ONE question for each unit

All questions carry equal marks

UNIT – I

1) Draw Knuckle thread, Acme thread and Buttress thread?

OR

2) Draw Hook-bolt, T-bolt

UNIT – II

3) Draw Gib and Cotter joint to connect Square shafts of 35mm. side.

OR

4) Draw Split-muff coupling to join shafts of 30mm. dia.

UNIT – III

5) Assemble all the parts of Eccentric. Draw the assembled views.

Part No. Name Material Quantity

1 Eccentric strap C.I. 1

2 Eccentric strip C.I. 1

3 Sheave C.I. 1

4 Strap bolt M.S. 2

5 Packing strip Leather 2

6 Nut M.S. 2

7 Nut M.S. 2

OR

6) Prepare the part drawing by giving two views of the following single tool post.

(DME 221)


(Examinations at the end of Second Year)


Paper - I : Engineering Mathematics-III


Answer Question No. 1 compulsory. (15)

Answer ONE question from each unit. (4 x 15 = 60)

1) a) Define two dimensional heat equation.

b) What are the possible solutions of the wave equation.

c) Define Cauchy Riemann equations in both Cartesian and polar coordinates.

d) Define singularity and write the Residue theorem.

e) Define harmonic function and conjugate of a harmonic function.

f) Define Poisson’s integral formula.

g) Find the temperature between two parallel plates x = 0 and x = d having

temperatures 0oC and 100

oC respectively.

h) Find the Laurent’s expansion of with center O.

Unit-I

2) A tightly stretched string of length l with fixed ends is initially in equilibrium

position. It is set vibrating by giving each point a velocity Vo Find the

displacement Y(x,t).

OR

3) a) Water at temperature 100oC cools in 10 min to 80

oC in a room of

temperature 25oC. Find the temperature after 20 minutes.

b) A body is heated to 110oC and placed in air at 10

oC After 1 hour its

temperature is 60o. How much additional time is required for if to cool

30ºC.

Unit-II

4) a) Evaluate dzz

e

c

z

∫ + 222 )( π, where c is

b) Show that is harmonic. Find the conjugate

harmonic of v.

OR

5) a) Evaluate ∫

−c z

z3

2

6

sin

π, where c is .

b) Determine F(2) and F(4). If ∫ −+−

=c

z

zzF

αα

345)(

2

,Where c is the ellipse

.

Unit-III

6) a) Compute ∫ −c

dzz

z

)1(

cos2

π, where c is a rectangle with vertices

b) Compute

OR

7) Evaluate ∫∞

∞− ++dx

bxax

mx

)()(

cos2222

.

Unit-IV

8) a) Find the bilinear transformation which anaps the points z = 1, i, -1 onto the

prints w = i, 0, i hence find i) the image of ii) the invarient points

of this transformation.

b) Write about the transformation w = zn.

OR

9) a) Prove that cross ratio of four points is invariant under bilinear

transformation.

b) Plot the image of the region 2 and under w = z2.

(DME 222)




Paper – II : ADVANCED MECHANICS OF MATERIALS


Answer Question No. 1 compulsory (5 X 3 = 15)

Answer ONE Question from each unit. (4 X 15 = 60)

1) a) Write about Rankine’s formula.

b) State and explain crippling load and buckling load.

c) State the assumptions in Winkler- Back analysis.

d) Give the limitations of Euler's formula.

e) Write the equation of stress for a curved bar subjected to bending

moment?

UNIT - I

2) a) What is moment area method? Explain the two Mohr's theorems, as

applicable to the slope and deflection of a beam.

b) A cantilever of uniform cross-section of length l carries two point loads,

W at the free end and 2W at a distance a from the free end. Find the

maximum deflection due to this loading.

OR

3) Find the Euler’s crippling load for a hollow cylindrical steel column of 38 mm

external diameter and 2.5 mm thick. Take length of the column as 2.3 m and

hinged at its both ends. Take E = 205 kN/mm2. Also determine the crippling

load by Rankine's formula using fc = 335 N/mm2 and a = 1/7500.

UNIT - II

4) a) A cantilever of span 4m carries a udl of 2kN/m from free end to the

midpoint of the beam. Calculate the slope and deflection at the free end

by moment area method.

b) A simply supported steel beam having uniform cross-section is 14m

span and is simply supported at its ends. It carries a concentrated load of

120kN and 80kN at two points 3m and 9.5m from left end respectively.

If the moment of inertia of the section is 160x107 mm

4 and E=210GPa.

Calculate the deflection of the beam at loaded points.

OR

5) A continuous beam ABCD 20m long is fixed at A, simply supported at D and

carried on the supporters B&C at 5m and 12m from left end A. It carries two

concentrated loads of 80kN and 40kN at 3m and 8m respectively from A and

uniformly distributed load of 12 kN/m over the span CD. Analyze the beam by

theorem of three moments and draw the shear force and bending moment

diagrams.

UNIT - III

6) A steel tube of external diameter 200mm is to be shrunk onto another steel

tube of 60mm in internal diameter. After shrinking, the diameter at the

junction is 120mm. before shrinking on the difference in the diameter at the

junction is 0.08mm. Find the hoope’s stresses developed in the two tubes after

shrinking on and also the radial pressure at the junction E=200 GPa.

OR

7) A curved beam of rectangular cross section is subjected to pure bending with a

moment of 400 N-m. The beam has width of 20mm, depth of 40mm and is

curved in a plane parallel to the depth. The mean radius of curvature is 50mm.

determine the position of neutral axis and the ratio of maximum to the

minimum stress.

UNIT - IV

8) A Solid disc of diameter, 100cm is rotating at a speed of 5000rpm. Determine

the distribution of radial and hoop stresses in the disc. Poison's ratio is 0.28

and the density of the material is 900kg/m3.

OR

9) A hollow disc of external diameter 90cm is rotating at a speed of 4000rpm.

Determine the distribution of radial and hoop stresses in the disc. Poisson’s

ratio is 0.29 and the density of material is 950 kg/m3.

(DME 223)




Paper – III : ELECTRICAL TECHNOLOGY


Answer Question No.1 compulsory (15)

Answer ONE Question from each unit (4×15=60)

1) a) Define KVL

b) Define Average value

c) Distinguish between Node and Mesh

d) What is meant by armature reaction?

e) State principle of D.C. motor

f) What is the purpose of using core in transformer?

g) Why 1-Ø Induction Motors are not self starting?

h) What is the relationship between voltage and current in a pure inductor?

i) Advantages of moving coil instrument

j) Define transformer

k) Draw the S.C.C characteristics of D.C. generator

l) Which type of motor is mostly suitable in traction ?

m) What are the losses in transformer?

n) What is the purpose of starter?

o) Define slip.

UNIT-I

2) a) State and explain KCL and KVL.

b) For the given circuit find the power loss in RL.

OR

3) a) Explain the constructional features of D.C generator.

b) Derive the Armature torque equation of D.C motor.

UNIT-II

4) a) Draw and explain the load characteristics of shunt series and

compound motors.

b) Explain the working principle of 3- point starter.

OR

5) a) Explain the principle and operation of a 1 – Ø transformer.

b) The maximum flux density in the core of a 250/3000 volts, 50 Hz single

phase transformer is 1.2w6/m2 if the e.m.f per turn is 8 volts, determine.

i) Primary and secondary turns.

ii) Area of core.

UNIT-III

6) a) Discuss briefly the constructional parts of 3 – Ø induction motor.

b) Explain various starting methods used for a 3 – Ø induction motor.

OR

7) a) Explain that why 1 – Ø induction motor is not self starting.

b) A 230v, 50Hz, 6 – pole single phase induction motor has the following

constants r1=0.12Ω, r2=0.14Ω, x1=x2=0.25Ω, xm=15Ω. If the core loss is

250w and friction and windage losses are 500w,determine the efficiency

and torque at s=0.05.

UNIT-IV

8) a) Explain the working principle and operations of PMMC type

Instrument.

b) Draw and explain dynamometer type wattmeter.

OR

9) a) Briefly bring out different features of a typical traction system.

b) Give the principle employed in resistance heating and also list the

applications of such type.

(DME 224 )




Paper - IV : COMPUTER BASED NUMERICAL METHODS


Answer Question No.1 is compulsory (15)

Answer One question from each unit (4×15=60)

1) a) Explain Newton- Raphson method.

b) Explain Regular Falsi method.

c) Write simpson’s 3/8 Rule.

d) Explain Euler’s method.

e) Explain the importance of Numerical methods in the field of Engineering.

f) Prove that ∆ = 1-E

g) Define Inverse interpolation.

UNIT –I

2) a) Find the positive root of x4-x=10 correct to three decimal places, using

Newton-Raphson method.

b) Apply Gauss elimination method to solve the equation x+4y-z = -5, x+y-6z

= -12, 3x-y-z = 4.

OR

c) Find the root of the equation cosx= xex using the regula-falsi method correct

to four decimal places.

d) Find a root of the equation x3-4x-9 = 0, using the bisection method correct

to three decimal places.

UNIT -II

3) a) Use Lagrange’s interpolation formula to find the value of y when x=10, if

the following values of x and y are given

X: 5 6 9 11

Y: 12 13 14 16

b) Using Gauss’s backward difference formula, find y(z) from the following table.

X: 0 5 10 15 20 25

Y: 7 11 14 18 24 32

OR

c) Calculate the value of f(1.5) using Bessel’s interpolation formula, from the

following table.

X: 0 1 2 3

f(x): 3 6 12 15

d) Find the missing term in the following table using interpolation.

X: 1 2 4 5 6

Y: 14 15 5 - 9

UNIT -III

4) a) Evaluate by using simpson’s rule.

b) Solve the simultaneous difference equations ux+1 +vx -3 ux = x,

3ux+ vx+1- 5vx =4x subject to the conditions u1=2, v1=0.

OR

c) Evaluate using

i) Trapezoidal rule taking h=

ii) Simpson’s rule taking h=

UNIT -IV

5) a) Solve the differential equations.

= 1+xz, = -xy for x=0.3

Using 4th order Runge –kutta method. Initial values are x=0, y=0,z=1.

OR

b) Solve the following by Euler’s modified method = log(x+y), y(0)=2 at

x=1.2 and 1.4 with h=0.2.

(DME 225) B.Tech. DEGREE EXAMINATION, DEC. - 2013



Paper – V : Applied Thermodynamics


Answer Question No.1 Compulsory (15)

Answer ONE question from each unit (4 × 15 = 60)

1) a) Differentiate between reheat and regenerative.

b) What is the main function of a boiler?

c) Define critical pressure ratio.

d) Explain reheat factor.

e) Define compression ratio.

f) Define COP

g) What is the need of refrigeration?

UNIT - I

2) Consider a steam power plant operating on the simple ideal Rankine cycle.

Steam enters the turbine at 3Mpa and 350oC and is condensed in the condenser

at a pressure of 75Kpa. Determine the thermal efficiency of the cycle.

OR

3) Explain the working of Wilcox boiler with neat sketch.

UNIT - II

4) A steam turbine develops 185 KW with consumption of 16.5 Kg/KWh. Pressure

and temp. of the steam at inlet of nozzle are 12 Bar and 2200 C respectively.

The steam leaves the nozzle at 1.2 Bar. The diameter of nozzle at throat is 7

mm. Find the no. of nozzles

OR

5) In an impulse turbine the steam issues from the nozzle with speed of 600 m/s

and blade speed is 120 m/s. The velocity is compounded by passing the steam

through a ring of moving blades; through a ring of fixed blades and finally

through a ring of moving blades. The nozzle angle is 180 and the blade exit

angles and relative velocity coefficients are:

1st row moving : 20

o & 0.8

Fixed row : 25o & 0.85

2nd

row moving : 30o & 0.9

Find the diagram efficiency under these conditions and the power output

for steam flow rate of 5 kg/sec.

UNIT – III

6) The following observations were recorded during test on a steam condenser.

Recorded condenser vacuum = 710mm of Hg

Barometer reading = 765mm of Hg

Mean condenser temperature = 340 C

Temp. of hot well = 28.50 C

Condensate collected = 1800 Kg/hr

Weight of cooling water = 57,500 Kg/hr

Inlet temp. of cooling water = 8.50 C

Outlet temp. of cooling water = 260 C

Calculate:

a) Vacuum corrected to the Std. Barometer reading

b) Vacuum efficiency of the condenser

c) Under cooling of the condenser

d) Condenser efficiency

e) Quality of steam entering the condenser.

f) Mass of air per Kg of uncondensed steam

g) Mass of air per m3 of condenser volume.

OR

7) A trial on a 2-stroke single acting reciprocating air compressor gave the

following data. Free air delivered = 6m3/min at pressure and temperature 1 bar

and 27oC Delivery pressure 40 bar Speed 400r.p.m. Intermediate pressure 6 bar

Temperature at inlet to second stage 27oC Law of compression pv1.3 const.

Mechanical efficiency 80% Stroke of the compressor L.P = diameter of the

LP=Stroke of HP.

Calculate: i) Cylinder diameter ii) Power required. Neglect clearance

UNIT - IV

8 A refrigerator working on bell-Coleman cycle operates between pressure limits

of 1.05 bar and 8.5 bar. Air is drawn from the cold chamber at 100C,

compressed and it is cooled to 30ºC. Before entering the expansion cylinder.

The expansion and Compression follows the law pv1.3=constant. Determine the

theoretical C.O.P. of the system.

OR

9) Saturated air leaving the cooling section of an air-conditioning system at 14oC at

a rate of 50m3/min is mixed adiabatically with the outside air at 32

oC and 60

percent relative humidity at a rate of 20m3/min. Assuming that the mixing

process occurs at a pressure of 1 atm, determine the specific humidity, the

relative humidity, the dry-bulb temperature and the volume flow rate of the

mixture.

(DME 226) B.Tech. DEGREE EXAMINATION, DEC. - 2013



Paper - VI : CASTING, FORMING AND WELDING TECHNOLOGY


Answer Question No.1 is Compulsory (15)

Answer any ONE question from each unit (4x15=60)

1) Write a short note on the following:

a) List types of castings

b) Segmental Pattern.

c) What is mean by gating System?

d) Pattern Allowances

e) Pattern Layout

f) Arc welding

g) How electrodes are classified?

h) What size of bends can you form

i) FIRE PREVENTION

j) Weldability

k) Can you punch more than one sheet at a time?

l) Blanking

m) Sheet Metal Tools

n) Stakes

o) Folded Sheet Metal Joints

UNIT - I

2) a) What are the Factors effecting selection of pattern Material

b) With neat sketch explain Core and Core Box

OR

3) Explain the Safety Precautions while working in casting shop.

UNIT - II

4) With neat sketch Hot chamber die-casting.

OR

5) Comparison between Permanent Mold Casting and Die Casting.

UNIT – III

6) Give the causes of hot cracking in carbon weld steel?

OR

7) a) What are the difficulties encountered in welding in overhead position?

b) Which welding process is suitable for welding alloy steels? Why?

UNIT - IV

8 a) What are the steps involved General sheet Metal Operations.

b) Metal Flow in Deep Drawing Dies? With neat sketch.

OR

9) Explain briefly about sheet metal components?

ii-yr- me - anucde7) a) if independent random samples of size n 1= n 2 = 8 come from normal...

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