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MODEL PAPER 1

ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES (AUTONOMOUS)

II/IV B. Tech I- Semester Regular Examinations Oct – 2016

(Regulations: R15)

Time: 3 hours

Building Technology

(Civil)

Max Marks: 60

Answer ONE Question from each Unit

All Questions Carry Equal Marks

All parts of the question must be answered in one place only

Unit – I

1. (a) Mention the various responsibilities and duties of an Engineer (6)

(b) Write a short note on (6)

(i) Reinforced Brickwork

(ii) Hollow Block Construction

(OR)

2. (a) Distinguish between English Bond and Flemish Bond. (6)

(b) Discuss the general principles in Brick masonry construction. (6)

Unit – II

3. (a) List different types of windows. Explain any two. (6)

(b) Bring out importance of aluminium and PVC Doors, windows and

ventilators in building construction. (6)

(OR)

4. (a) List different types of staircases. Explain any two. (6)

(b) List the requirements of a good staircase. (6)

Unit – III

5. (a) Mention the various types of floorings along with their suitability in brief. (6)

(b) Write a short note on Granolithic flooring and Marble flooring. (6)

(OR)

6. (a) What is damp proof course? Explain its necessity in a building. (6)

(b) Explain in detail about basic roofing elements. (6)

Hall Ticket No: Question Paper Code :

MODEL PAPER 2

Unit - IV

7. (a) Differentiate between Shallow and Deep foundations and give example

for each. (6)

(b) Why formwork is necessary? What are the advantages of slip form? (6)

(OR)

8. (a) What are the requirements of a good foundation? (6)

(b) Write a short note on RCC Raft foundation and Pile Foundation. (6)

Unit - V

9. (a) Mention the general requirements for safety in construction. (6)

(b) What are the safety requirements for erection of concrete framed

structures? (6)

(OR)

10. (a) What is a Green Building? Explain the basic principles of green building. (6)

(b) Write a short note on GRIHA rating system of green buildings. (6)

******

MODEL PAPER 1



(Regulations: R15)

Time: 3 hours

ENGINEERING GEOLOGY

(Civil)

Max Marks: 60




UNIT- I

1. a) Explain how disintegration and decomposition of rocks reduce the competence of rocks.

b) Explain spheroidal weathering and frost wedging in rocks. (4+8)

(OR)

2. Explain the role of engineering geologist in planning, design and construction of civil

engineering works (12)

UNIT-II

3. What are metamorphic rocks? Why and how do they form? What are the characteristics of

metamorphic rocks? (12) (OR)

4. Describe the structure, texture, mineral content of any four of the following rocks.

Add a note on their suitability for constructional purpose.

a) Granite b) Basalt c) Sand stone d) Marble (12)

UNIT-III

5. Define a mineral. Briefly discuss the importance of different physical properties of minerals,

Quote at least two mineral examples for each physical property in this context. (12)

(OR)

6. a) Draw a neat sketch of a “Fold” and label the parts.

b) How folds are classified?

c) Importance of folding of rocks from civil engineering point of view. (4+2+6)


MODEL PAPER 2

UNIT-IV

7. How do you carry out geophysical investigation in ground water prospecting? Add a note on

interpretation. (12)

(OR)

8. Give an account of various geological considerations in the selection of a dam site. (12)

UNIT-V

9. a) Give an account of various indirect causes for the occurrence of landslides.

b) Explain briefly possible methods of mitigating impact of landslides (6+6)

(OR)

10. Give an account of causes and effects of earthquakes. Add a note on precautions to be taken

in building construction in seismic areas. (12)

******

MODEL PAPER-I 1



II/IV B. Tech I- Semester Regular Examinations Oct - 2016

(Regulations: R15)

MATHEMATICS- III

(MECH, ECE, EEE, CIVIL, CHEMICAL)

Time :3hours Max Marks:60




UNIT – I

1. a) Find the constants a and b so that the surface xabyzax )2(2 will be orthogonal to

the surface 44 32 zyx at the point )2,1,1(

(6)

b) Prove that FdivFgradFCurlCurl 2

(6)

(OR)

2.a) If nzyxf

222 , find fgraddiv and determine n if 0fgraddiv (6)

b) Prove that ,

2 11 12( ) ( ) ( )f r f r f r

r .

UNIT-II

(6)

(OR)

UNIT-III

3. a) If is a scalar point function , use stoke’s theorem to prove that ( ) 0Curl grad , (6)

b) Evaluate c

dyyxdxxyx )3()2( 22, where, C is the square formed by the lines

11 yandx

(6)

4. a) Verify Divergence theorem for kyzjyzixF 2taken over the cube

azzayyaxx ,0;,0;,0

(6)

b) Find the area of a circle by Green’s theorem.

(6)

5. a) Form the Partial differential equation (by eliminating the arbitrary constant a, b ) of

2222czbyax

(6)

b) Solve 2 2 2

2 23 2 cos 2

z z zx y

x x y y

(6)

MODEL PAPER-I 2

(OR)

UNIT-IV

(OR)

8. a ) Find the solution of 1-dimensional hear equation 2

2 2

1,

u u

tx c

where

2c is diffusivity

of material of the bar. (6)

UNIT-IV

(OR)

10. a) Find the Fourier Sine and Cosine transform of axexf and hence deduce the

inversion formulae

(6)

b) Using finite Fourier transform, solve 2

22

u u

t x

given that

(0, ) 0, ( ,0) ( 0)xu t u x e x and ( , )u x t is bounded where x>0, t>0.

(6)

******

6. a) Solve yxzqxzypzyx 222

. (6)

b) Solve 1 2 3 4 3 6D D D D z x y .

(6)

7. a) Solve , using variable separable method , 3 2 0, ( ,0) 4 xu uu x e

x y

. (6)

b) A tightly stretched string with fixed end points x=0 and x= l is initially in a position

given by 3

0 sinx

y yl

If it is released from rest from this position, find the

displacement ( , )y x t .

(6)

b) A homogeneous rod of conducting material of length 100cm has its ends kept at zero

temperature and the temperature initially is,

U(x,0) = , 0 50

100 , 50 100

x x

x x

..

(6)

9. a)

Find the Fourier transform of

axif

axifxaxf

0

22

, Hence Show that

4

cossin

0 3

dxx

xxx

(6)

b) Verify the convolution theorem for 2xexgxf . (6)

MODEL PAPER-II 1



II/IV B. Tech I- Semester Regular Examinations Oct - 2016

(Regulations: R15)

MATHEMATICS- III

(MECH, ECE, EEE, CIVIL, CHEMICAL) Time :3hours Max Marks:60




UNIT - I

1 . a) If the directional derivative of xczzbyyax 222 at the point (1,1,1) has

maximum magnitude 15 in the direction parallel to the line zyx

2

3

2

1find

the values of a,b and c. ( 6 )

b) Prove that GFFGFGGFGF ).().().().()( . ( 6 )

(OR)

2. a) Find the angle between the surfaces 39 22222 yxzandzyx at the

point ( 2,-1, 2 ). ( 6 )

b) If 222 zyxu and kzjyixV , show that uVudiv 5)( . ( 6 )

UNIT-II

3. a) Find the total work done in moving a particle in a force field given by

kxjzixyF 1053 along the curve .21,2,1 322 ttotfromtztytx

( 6 )

b) Evaluate c

RdF. where

3 3F y i x z j z y k is the circle

5.1,422 zyx. (6)

(OR)

3. a) Verify Green’s theorem for

C

dyxdxyxy 22

where C is bounded by

2xyandxy .

( 6 )

b) Use divergence theorem to evaluate S

dsF ,. where

,333 kzjyixF and S is the

surface of the sphere .2222 azyx ( 6 )

MODEL PAPER-II 2

UNIT-III

5. a) Form the partial differential equation from 0, 222 zyxzyxF . ( 6 )

b) Solve

22 ' '6 cos (2 )D DD D x y . ( 6 )

(OR)

6. a) Solve 0)()()( 222222 yxzqxzypzyx . ( 6 )

b) Solve yxezDDDD 2'' )2()1( . ( 6 )

UNIT-IV

7. a) Solve the equation ,023

y

u

x

u.4)0,( xexu ( 6 )

b) Solve the equation 2

2

x

u

t

u

with boundary conditions

,0),1(0),0(,sin3)0,( tuandtuxnxu where .0,10 tx . ( 6 )

(OR)

8. a) Solve the completely equation ,2

22

2

2

x

yc

t

y

representing the vibrations of a

string of length ,l fixed at both ends, given that

)()0,(;0),(;0),0( xfxytlyty and .0,0)0,(

lxt

xy

( 6 )

b) Find the solutions of Laplace’s equation in polar coordinates. ( 6 )

UNIT-V

9. a) Find the Fourier cosine transform of axe

. Hence evaluate

0

22.

cosdx

ax

x ( 6 )

b) Using the Fourier integral representation, show that

.102

cossin

0

xwhendx

( 6 )

(OR)

10. a) Using Parseval’s identities, prove that

0

2222 )(2)()( baabtbta

dt ( 6 )

b) Using finite Fourier transform, solve 2

2

x

u

t

u

given 0),4(,0),0( tutu and

.0,402)0,( txwherexxu ( 6 )

******

MODEL PAPER 1




(Regulations: R15)

ENGINEERING MECHANICS

(Civil)

Time: 3 hours Max. Marks: 60




UNIT-I

1. a) State and explain law of parallelogram of forces (4)

b) A system of four forces acting on a body is as shown in figure-1. Determine the

resultant. (8)

Figure-1

(OR)

2. a) State and explain Varignon’s theorem. (4)

b) Various forces to be considered for the stability analysis of a dam are shown in

figure-2. The dam is safe if the resultant force passes through middle third of the base.

Verify whether the dam is safe. (8)

Figure-2

MODEL PAPER 2

UNIT-II

3. a) State and explain Lami’s theorem. (4)

b) The Warren truss loaded as shown in figure-3 is supported by hinge at G and roller at

C. Use the method of sections to compute the force in bars BC, DF and CE. (8)

Figure-3

(OR)

4. a) Define Free Body Diagram with the help of examples. (4)

b) Fine the reactions at supports A and B of the loaded beam shown in figure-4 (8)

Figure-4

UNIT-III

5. a) State Coulomb’s laws of friction. (4)

b) Determine the least value of P to cause motion to impend towards right in figure-5.

Take µ = 0.2 under the block and pulley is frictionless. (8)

Figure-5

(OR)

6. a) State and explain Theorem of Pappus. (4)

b) Determine the centroid of the unequal I-section shown in figure-6. All dimensions are

in mm. (8)

MODEL PAPER 3

Figure-6

UNIT-IV

7. a) State and explain parallel axis theorem. (4)

b) Determine the moment of inertia for the plane area as shown in figure-7 about its

centroidal x-axis. All dimensions are in mm. (8)

Figure-7

(OR)

8. a) A stone dropped into a well is heard to strike the water after 4 seconds. Find the depth

of the well, if the velocity of sound is 350m/s. (4)

b) The acceleration ‘a’ of a particle expressed in cm/sec2

is given by a = 90 – 5x2, where

x is the distance travelled by the particle in cm. Determine the velocity of the particle for

x =5 cm. Also fine the maximum velocity attained by particle. (8)

UNIT-V

9. a) State and explain D’Alembert’s principle. (4)

b) An elevator cage of a mine shaft weighing 8 kN, when empty, is lifted or lowered by

means of a wire rope. Once a man weighing 600N, entered it and lowered with uniform

acceleration such that when a distance of 187.5 m was covered, the velocity of the cage

was 25 m/sec.Determine the tension in the rope and the force exerted by the man on the

floor of the cage. (8)

(OR)

10. a) Explain the terms :

i) Work

ii) Energy and

iii) Power (4)

MODEL PAPER 4

b) A 2500 N block starting from rest as shown in figure-8 slides down a 500 incline.

After moving 2m it strikes a spring whose modulus is 20N/mm. If the coefficient of

friction between the block and the incline is 0.15, determine the maximum velocity of

theblock. (8)

Figure-8

******

MODEL PAPER 1



(Regulations: R15)

STRENGTH OF MATERIALS (Civil)

Time: 3 hours Max. Marks: 60




UNIT-I

1. (a) Define the following (4marks)

(i) Poisson’s ratio (ii) Factor of safety (iii) Lateral strain (iv) Modulus of rigidity

(b) A steel rod of cross-sectional area 800mm2 and two brass rods each of cross-sectional area

500mm2 together support a load of 25kN as shown in Figure.1 (8marks)

Figure.1

Calculate the stresses in the rods. Take modulus of elasticity for steel and brass as 200Gpa and

100GPa respectively.

(OR)

2. (a) Explain the stress-strain diagram of mild steel. (8marks)

(b) Calculate the force P2 necessary for equilibrium if P1=10kN, P3=40kN and P4=16kN. Taking

modulus of elasticity as 2.05 x 105

N/mm2, determine the total elongation of the member. Refer

Figure.2 (4marks)

Figure.2


MODEL PAPER 2

UNIT-II

3. Draw the shear force diagram and bending moment diagram for the beam shown in Figure.3

indicating principal values. (12marks)

Figure.3

(OR)

4. A simply supported beam AB 6metres long is loaded as shown in Figure.4 (12marks)

Figure.4

The point load of 5kN shown in the above figure.4 acts at a distance of 1.5metres from support B.

Construct the shear force diagram and bending moment diagram for the beam and find the position

and value of maximum bending moment.

UNIT-III

5. (a)What are the assumptions in the theory of simple bending (4marks)

(b)A beam 500mm deep of a symmetrical section has moment of inertia I= 1 x 108 mm

4 and is simply

supported over a span of 10metres. Calculate (a) the u.d.l. it may carry if the maximum bending stress

is not to exceed 150 N/mm2 and (b) the maximum bending stress if the beam carries a central point

load of 25kN. (8marks)

(OR)

6. A cast iron bracket shown in Figure.5 subjected to bending has a cross-section of I shape with unequal

flanges. If the section is subjected to shear force of 1600kN, draw the shear stress distribution over the

depth of the section indicating the principal values. (12marks)

Figure.5

MODEL PAPER 3

UNIT–IV

7. (a) Define principal plane and principal stress. (4marks)

(b) Derive the expression for normal and tangential stress on an inclined section of a member

subjected to direct stresses in two mutually perpendicular directions. (8marks)

(OR)

8. (a) What are the different theories of failures? (4marks)

(b) A point is subjected to a tensile stress of 250MPa. in the horizontal direction and another tensile

stress of 100MPa. in the vertical direction. The point is also subjected to a simple shear stress of

25MPa. , such that when it is associated with the major tensile stress , it tends to rotate the

element in the clockwise direction. What is the magnitude of the normal and shear stresses on a

section inclined at an angle of 200 with the major tensile stress. (8marks)

UNIT-V

9. (a) How does a torsion spring differ from a bending spring? (2marks)

(b) Define hoop stress and longitudinal stress. (2marks)

(c) A thin cylinder of internal diameter 1.25metre contains a fluid at an internal pressure of 2N/mm2

Determine the maximum thickness of the cylinder if (i) the longitudinal stress is not to exceed

30 N/mm2 (ii) the hoop stress is not to exceed 45 N/mm

2.

(8marks)

(OR)

10. (a) Derive the relation 𝜏

𝑅 =

𝐶𝜃

𝑙 (6marks)

(b) A solid shaft of 200mm diameter has the same cross-sectional area as a hollow shaft of the same

material with inside diameter of 150mm. Find the ratio of (i) power transmitted by both the shafts at

the same angular velocity (ii) angle of twist in equal lengths of these shafts when stressed to the

same intensity. (6marks)

******

MODEL PAPER 1



(Regulations: R15)

SURVEYING-I (Civil)

Time: 3hours Max. Marks: 60 Answer ONE Question from each Unit



UNIT-I

1. (a) What are the primary divisions of survey? Explain. (2)

(b) What is a shrunk scale and shrinkage ratio? (2)

(c) A steel tape of 20m long standardized at 60°F with a pull of 10kgs was used for

measuring a base line. Find the correction for tape length if the temperature at the Time

of measurement was 90°F and the pull exerted is 15kgs.weight of 1cubic centimetre steel

is 7.86 gram. Weight of tape is 0.8kg.E=2.109x106 𝑘𝑔 𝑐𝑚 2

.coefficient of expansion of

tape for1°F=6.2x106.Calculate correction for temperature, pull and sag. (8)

(OR)

2. (a) What are the principles of surveying? (2)

(b) What is the difference between a plan and a map? (2)

(c) A 25m chain was found to be 12cms too long after a chaining a distance of 1200m.It was

found to be 20cms too long at the end of days work after chaining a total distance of

2500m.find the true distance if the chain was correct before the Commencement of work.

(8)

UNIT-II

3. (a) Distinguish between true meridian and magnetic meridian (2)

(b) Convert the following WCB to QB:22o30’ & 170°12’

Convert the following QB to WCB:N12°24’E & S31°36’E (2)

(c) Determine the values of included angles in the closed compass traverse ABCD in the

clockwise direction given the following fore bearings of their respective lines. (8)

Apply the check

(OR)

4. (a) What is local attraction? Explain (2)

(b) Explain magnetic dip (2)

(c) The following bearings were observed in running a complete traverse


Line F.B

AB 40°

BC 70°

CD 210°

DE 280°

MODEL PAPER 2

At what stations do you suspect the local attraction? Determine the corrected magnetic

bearing of declination was 5°10’E.What are the true bearings. (8)

UNIT-III

5. (a) What are the checks in a closed traverse? (2)

(b) What are the latitude and departure? Give pictorial representation (2)

(c) For balancing a traverse, give Bowditch graphical method and also axis method.

Draw diagrams clearly. (8)

(OR)

6. The following staff readings were observed successively with a level, the instrument having

been moved after third, sixth and eighth reading readings 2.228, 1.606, 0.988, 2.090, 2.864,

1.262, 0.602, 1.982, 1.044, 2.644m. Enter the above readings in a page of a level book and

calculate R.L of points, if the first was taken with a staff held on a B.M of 432.384m. (12)

UNIT-IV

7. It was required to ascertain the elevations of two points P and Q and a line of level was run

from P to Q.The levelling was then continued to a BM of 83.500.The readings obtained are

shown below. Obtain the R.L of P and Q.

Station B.S I.S F.S H.I R.L Remarks

1 1.622 P

2 1.874 0.354 T.P1

3 2.032 1.780 T.P2

4 2.362 Q

5 0.984 1.122 T.P3

6 1.906 2.824 T.P4

7 2.036 83.50 B.M

Make an arithmetical check. (12) (OR)

8. (a) What is reciprocal levelling? Explain with diagrams (4)

(b) How do you calculate the effects of curvature and refraction? (4)

(c) What is profile levelling? Explain longitudinal sectioning and cross sectioning (4)

UNIT - V

9. (a) What are the contour and contour interval? (2)

(b) What are the characteristics of contours? (6)

(c) What are the uses of contour? (4) (OR)

LINE FB BB

AB 75°5’ 254°20’

BC 115°20’ 296°35’

CD 165°35’ 345°35’

DE 224°50’ 44°5’

EF 304°50’ 125°5’

MODEL PAPER 3

10. Write short notes on ANY FOUR of the following (12)

(a) Plane table and its accessories.

(b) Ceylon ghat tracer.

(c) Pantagraph.

(d) Planimeter.

(e) Errors in chain survey

(f) Loose needle method and fast needle method.

******

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