14 MA 301 Hall Ticket Number:

II/IV B.Tech (Regular) DEGREE EXAMINATION December, 2015

(First Semester)

Engineering Mathematics - III (Common for all branches)

Time: Three Hours Maximum : 60 Marks Answer Question No.1 compulsorily. (1X12 = 12 Marks) Answer ONE question from each unit. (4X12=48 Marks)

A1. Answer all questions (1X12=12 Marks)

a) Define complex form of the Fourier Integral of a function.

b) Find the Fourier Transform of

c) Define the Fourier Cosine and Sine Transforms. d) State D’Alembert’s solution of the wave equation. e) State various possible solutions of the heat equation. f) Define steady-state two-dimensional heat flow equation. g) Write Trapezoidal rule of integration. h) If is very small quantity what will happen to the Newton-Raphson method?

i) Discuss briefly the error of Simpson’s rule. j) What is the condition to say a partial differential equation is elliptic? k) Write the normal equations for y = a + b x by least squares method. l) Write the formula of Euler’s method.

UNIT I

2. a) Find the Fourier Integral representation of

b) Find the Fourier sine transform of .

(OR)

3. a) Find the Fourier Integral representation of

b) Using Convolution theorem find the Fourier transform of , 0xf x xe x .

UNIT II

4. a) Solve by the method of separation of variables.

b) A string is stretched and fastened to two points L apart. Motion is started by displacing

the string in the form sin xf x aL

from which it is released at time Show that

the displacement of any point at a distance from one end at time is given by

, sin cosx ctu x t aL L

(OR)

5. a) Derive the D’Alembert’s solution of the wave equation .

b) Solve the equation with boundary conditions ,

UNIT III

6. a) Find a real root of correct up to five decimal places by Newton-Raphson’s method. b) Evaluate by using Newton divided difference interpolation formula for the data:

5 7 11 13 17

150 392 1452 2366 5202 (OR)

7. a) Find the interpolating polynomial by using Newton’s backward interpolation formula for the data:

0 1 2 3

1 2 1 10

b) Evaluate by Simpson’s rule, by dividing the interval into 6 equal parts.

UNIT IV 8. a) Apply Gauss-Seidal iteration method to solve the equations b) Using Euler’s method, find an approximate value of corresponding to x=1, given

that taking h =0.1.

(OR) 9. Solve the Poisson’s equation over the square with sides with on the boundary and mesh length =1:

0 0 0 0

0

0

0

0 0 0

0

0

14CE302 Hall Ticket Number:

II/IV B.TECH (REGULAR) DEGREE EXAMINATION DECEMBER. 2015

(First Semester)

Building Materials and concrete Technology (CIVIL ENGINEERING)

Time: Three Hours Maximum : 60 Marks Answer Question No.1 compulsorily. (1X12 = 12 Marks) Answer ONE question from each unit. (4X12=48)

1. Answer all questions (1X12=12 Marks)

a) Name any four building stones. b) What is ‘Frog’ in a brick? What is its function? c) What are the sources of lime? d) What type of flooring would you recommend for laboratories and hostels. e) Define underpinning. f) Mention any two uses of timber. g) Define Fineness Modulus of aggregate. h) What is the purpose of Vicat’s apparatus. i) Write any two uses of water in concrete. j) What is meant by workability of concrete? k) Define Characteristic Compressive Strength of concrete. l) Define the term ‘Mix Design’.

UNIT – I

2. a) What are the requirements of a good building stone? (6M) b) Explain the constituents of good brick earth. (6M)

(OR)

3. a) What are the qualities of good timber? Explain briefly about preservation of timber. (6M) b) What are the sources of lime? Write about the constituents of lime stones. (6M)

UNIT – II

4. a) Describe briefly the classification of stone masonry? (6M) b) State briefly the essential requirements of good roofs and classify different types of roofs. (6M)

(OR) 5. a) Describe the method of damp proofing for foundation and floors. (6M) b) What are the different types of shores? Discuss any two of them with neat sketches. (6M)

UNIT – III

6. a) State the chemical composition of Portland Cement and explain the functions of each one of them. (6M) b) Enumerate the laboratory tests for Cement and describe any two of them. (6M)

. (OR)

7. a) What is the significance of Fineness Modulus of aggregate? Explain how it is determines in laboratory. (6M) b) Define ‘Admixture’. List various types of Admixtures and explain any two of them. (6M)

UNIT – IV

8. a) Explain workability of concrete. Discuss the factors affecting workability of concrete. (6M) b) Calculate the gel/space ratio and theoretical strength of a sample of concrete made with 525 gm. of cement with

W/C ratio as 0.58 (i) on full hydration (ii) on 85% hydration. (6M) (OR)

9. a) What is Fibre Reinforced Concrete? Explain the uses and factors affecting the properties of FRC. (6M) b) Write the step-by-step procedure of concrete mix design by I.S. Code method. (6M)

14CE303 Hall Ticket Number:

II/IV B.Tech (REGULAR) DEGREE EXAMINATION DECEMBER, 2015

(First Semester) Surveying - I

(CIVIL ENGINEERING)

Time: Three Hours Maximum : 60 Marks Answer Question No.1 compulsorily. (1X12 = 12 Marks) Answer ONE question from each unit. (4X12=48)

1. Answer all questions (1X12=12 Marks)

a) Differentiate between plan and map. b) What is the necessity of well conditioned triangle? c) Enumerate the fundamental lines of a theodolite. d) Classify direct leveling methods? e) Explain briefly Height of Instrument method and Rise and fall method. Which is the better method? f) What do you mean by transiting and swinging? g) What is meant by dip of the needle? h) What are agonic lines? i) Give the expression for slope correction in tape measurements? j) Enumerate any four characteristics of contours. k) The contour interval on a map is 12 m. If the upward gradient of 1 in 20 is required to be drawn between two points, what

will be the horizontal equivalent? l) Write the details of total length and length of each link for gunter’s chain and revenue chain?

UNIT – I

2. a) Describe briefly the classification of surveying based on (1) Purpose and (2) Instruments. (7M) b) Explain the following terms:. (5M) (i) Resection (ii) Scale of a map (iii) Shrinkage factor. (iv) Representative faction (v) Geodetic surveying

(OR) 3. a) Explain the compensating and cumulative errors in chain surveying? (6M) b) What is the field work involved in chain surveying? Explain briefly? (6M)

UNIT – II 4. a) Explain the different methods of chaining on sloping ground. What is hypotenusal allowance? (6M) b) To continue a survey line AB past an obstacle, a line BC 200 metres long was set out perpendicular to AB, and form C angles BCD and BCE were set out at 600 and 450 respectively. Determine the lengths which must be chained off along CD determine the obstructed length BE. (6M)

(OR) 5. a) Differentiate the following? (6M) i) Magnetic and True meridians ii) Bearing and Azimuth iii) Fore and back bearings iv) Dip and Diclination b) What is local attraction? Explain the methods to correct the bearings for local attraction? (6M)

UNIT – III 6. a) Can you use a theodolite as leveling Instrument? If so, how? (6M) b) How would you measure a horizontal angle by repetition? What are its advantages? (6M)

(OR) 7. a) How would you check the accuracy of an open traverse? (6M) b) The measured lengths and bearings of the sides of a closed traverse ABCDE run in the counter-clockwise direction are tabulated below. Calculate the lengths of CD and DE. (6M)

Line Length, m Bearing AB 298.7 00 0’ BC 205.7 N 250 12’ W CD ? S 750 6’ W DE ? S 560 24’ E EA 213.4 N 350 36’ E

UNIT – IV

8. a) What is bench mark? Describe different types of bench marks (4M) b) The following consecutive readings were taken with a level and 5 meter leveling staff on continuously sloping ground at a common interval of 20 metres ; 0.385 ; 1.030 ; 1.925 ; 2.825 ; 3.730 ; 4.685 ; 0.625 ; 2.005 ; 3.110 ; 4.485. The reduced level of the first point was 208.125 m. Rule out a page of a level field book and enters the above readings. Calculate the reduced level of the points by rise and fall method and also the gradient of the line joining the first and the last point. (8M)

(OR) 9. a) What is a contour line? What is the importance of contour maps in civil engineering works? (6M) b) Explain with neat sketches, the various methods of interpolating contours. (6M)

14EC 304 Hall Ticket Number:

II/IV B.Tech (Regular) DEGREE EXAMINATION December, 2015

(Semester-III)

Signals and Systems (Electronics and Communication Engineering)

Time: Three Hours Maximum : 60 Marks Answer Question No.1 compulsorily. (1X12 = 12 Marks)

Answer ONE question from each unit. (4X12=48)

A1. Define the following: (12X1=12 Marks)

a) Distinguish between continuous –time and discrete-time signals. b) Give the equations to find even and odd parts of the signal. c) Determine the energy and power of a unit step signal. d) What is half wave symmetry? What is its effect? e) What are the limitations of Fourier series? f) Define impulse response of a system? g) What is the Fourier transform of a sinc pulse? h) Sketch the ideal characteristics of Band pass filter. i) What is Nyquist rate? j) Define Energy Spectral Density? k) What is the relation between convolution and correlation? l) Show that R12(τ) = R12(-τ)

UNIT – I

2. a) Determine whether the signals (i) cos cos6 6n nx n

and (ii)

cos100 sin 50x t t t are periodic or not? Determine the fundamental period. (6M)

b) Define and sketch the following elementary signals. (i) Signum function, (ii) Triangular function, and (iii) Sinc function. (6M)

(OR)

3. a) The trapezoidal pulse signal x(t) is defined by (6M) 5 4 51 4 4

( )5 5 4

0 o th e rw ise

t tt

x tt t

sketch the signal x(t) and determine the total energy of x(t).

b) Prove the following. (6M) (i) The power of the energy signal is zero over infinite time. (ii) The energy of the power signal is infinite over infinite time. (6M)

14EC 304

UNIT – II

4. State and prove the following properties of Fourier series. (12M) (i) Frequency shift property (ii) Time differentiation property (iii) Multiplication property

(OR)

,

5. Obtain the trigonometric Fourier series for the waveform shown in figure. (12M)

UNIT – III

6.a) Find the Fourier transform of the signal 3 2 3tx t e u t u t (4M)

b) Using the convolution property find the Fourier Transform of the system output y(t) for

the following input ( ) 3 ( )tx t e u t and system impulse response 2( ) 2 ( )th t e u t (8M)

(OR)

7. a) Consider a causal LTI system with frequency response 14

Hj

. For a

particular input x(t), the system is observed to produce the output 2 4t ty t e u t e u t . Find the input x(t)? (8M) b) Find the Fourier transform of the Signum function. (4M)

UNIT – IV

8. a)State and prove the relation between convolution and correlation. (6M)

b) A filter with 11

Hj

is given an input 2tx t e u t . Find the energy spectral

density of the output. (OR)

9. a) State and prove the properties of cross correlation function. (6M)

b) Prove that for a signal, auto correlation and power spectral density form a Fourier transform pair (6M)

14CE305 Hall Ticket Number:

II/IV B.Tech (Regular) DEGREE EXAMINATION DECEMBER, 2015

(First Semester)

Fluid Mechanics (CIVIL ENGINEERING)

Time: Three Hours Maximum : 60 Marks Answer Question No.1 compulsorily. (1X12 = 12 Marks)

Answer ONE question from each unit. (4X12=48)

A1. Answer all questions (1X12=12 Marks)

(a) What is vacuum pressure? (b) What is the use of differential Manometer? (c) What is centre of buoyancy? (d) What is irrotational flow? (e) What is turbulent flow? (f) Define laminar sub layer. (g) What is the equation of discharge through orifice meter? (h) What is mouthpiece? (i) What is coefficient of contraction? (j) What are the minor losses in pipe flow? (k) What is the expression of loss of head due to sudden contraction of pipe? (l) What are the conditions if pipes are in parallel?

UNIT – I

2. (a) The dynamic viscosity of an oil, used for lubrication between a shaft and sleeve is 6 poises. The shaft diameter is 0.4m and rotates at 190 r.p.m. Calculate the power lost in the bearing for a sleeve length of 90 mm. The thickness of the oil film is 1.5 mm. (6 M)

(b) A rectangular plane surface 2m wide and 3m deep lies in water in such a way that its plane makes an

angle of 300 with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge is 1.5m below the free surface? (6 M)

(OR)

3. (a) What are the conditions of equilibrium of a Floating body? (6 M)

b) A cubical tank has sides of 1.5m. It contains water for the lower 0.6m depth. The upper remaining part is filled with oil of specific gravity 0.9. Calculate total pressure and centre of pressure for one vertical side of the tank? (6 M)

CE 305

UNIT – II 4. (a) The water is flowing in a pipe having diameters 20cm and 10cm at section 1 and 2 respectively. The

discharge through the pipe is 35 liters/sec. The section 1 is 6m from datum line and section 2 is 4m from datum. If the pressure at section 1 is 30 N/cm2. Find the pressure at section 2? (6 M)

(b) The velocity potential function is given by an expression3 3

2 2

3 3xy x yx y find the velocity

components in x and y direction and show that represents a possible case of flow? (6 M)

(OR)

5. (a) What is Euler’s equation of motion? How will you obtain Bernoulli’s expression from it? (6 M) (b) An orifice meter with orifice diameter 10 cm is inserted in a pipe of 20 cm diameter. The pressure

gauges fitted u/s and d/s of the orifice meter gives reading of 19.62 N/cm2 and 9.81 N/cm2 respectively. Take Cd = 0.6. Find the discharge of water through the pipe? (6 M)

UNIT – III

6. (a) Derive maximum discharge through a broad crested weir. (6 M) (b) Discuss (i) the concept of the boundary layer with reference to fluid motion over a flat plate, (ii) Phenomenon of Separation for flow over curved surface (iii) the prevention of separation. (6 M)

(OR)

7. (a) Difference between large and small orifice. Obtain an expression for Discharge through a large rectangular Orifice. (6 M) (b) Derive an expression for the discharge over a triangular notch. (6 M)

UNIT – IV

8. (a) What is an equivalent pipe? Derive a formula for equivalent size of compound pipe. (6 M) (b) Derive Darcy’s weisbach equation? (6 M)

(OR) 9. (a) Discharge through a horizontal pipe line 40 m long is connected to a water tank at one end and discharges

freely into atmosphere at the other end. For the first 25 m of its length from the tank, the pipe is 150 mm diameter and its diameter is suddenly enlarged to 300 mm. The height of water level in the tank is 8 m above the center of the pipe. Consider all losses of head which occur. Take coefficient of friction 0.01 for both sections of the pipe? (6 M)

(b) Derive Hazen poiseuille’s equation? (6 M)

14CE306 Hall Ticket Number:

II/IV B.TECH (REGULAR) DEGREE EXAMINATION DECEMBER. 2015

(First Semester)

Engineering Geology (CIVIL ENGINEERING)

Time: Three Hours Maximum : 60 Marks Answer Question No.1 compulsorily. (1X12 = 12 Marks) Answer ONE question from each unit. (4X12=48)

A1. Answer all questions (1X12=12 Marks)

a) How petrology useful in civil Engineering? b) Define erosion? c) What is spheroidal weathering? d) Define cleavage? e) What is the standard hardness of a Quartz.? f) Distinguish foliation and lineation. g) What is rock cycle? h) Define porosity?. i) What is thrust fault?. j) What is epicenter? k) What is exploration geophysics. l) What is over break?.

UNIT – I 2. a) Describe various branches of Geology and their significance in Civil Engineering. (6M) b) Describe various types of weathering . (6M)

OR) 3.a) Describe the classification and causes of Mass wasting (6M) b) Mention the remedial measures to control the land sliding activity (6M)

UNIT – II

4. a) Define a Mineral .Write the importance of physical properties in mineral identification. (6M) b) Mention the physical properties of the following: i) Feldspar. ii) Mica (6M)

(OR)

5. a) Describe the structures and textures of sedimentary rocks. (6M) b) Write the following: i) Granite. Ii) Marble (6M)

UNIT – III

6. a) Distinguish Fault and joint. Describe the different types of faults? (6M) b) Write the following: i) Classification of joints. ii) Types of unconformity (6M) (OR) 7. a) What are the causes and effects of earthquakes? (6M) b) Write the civil engineering considerations in seismic areas (6M)

UNIT – IV 8. a) Describe the Electrical resisitivity method and its application in civil engineering (6M) b) Discuss the advantages of exploration geophysical methods. (6M)

(OR) 9. a) Discuss the geological investigations carried out for the construction of dams (6M) b) Describe various types of Tunnels (6M)