The document is a question paper for the Strength of Materials subject. It contains 10 questions divided into 5 modules. The questions are on topics like stresses and strains in materials, bending moments, shear forces, torsion, columns and thin-walled pressure vessels. Some questions ask students to derive expressions, draw shear force and bending moment diagrams, calculate stresses and pressures in different scenarios, and design columns. The document provides instructions to answer any 5 full questions with 1 from each module. Missing data can be suitably assumed.

1. USN
Time: 3 hrs.
5MAT31
Max. Marks: 80
(08 Marks)
Hence derluce
(08 Marks)
Third Semester B.E. Degree Exarminatior, JuniifrJffi20
Engineering Mathematics - lll
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Note: Answer any FM fult questions, choosing
ONE full question from each module.
Module-1
a. Obtain the Fourier series for the function :
- f-n, -7r<x<of(x) - { /
[x, 0<x<n
2
Hence deduce that L- I *1 *1 + - - - -.8(3252
b. obtain the half-range cosine series for the function (x) : (x - 1)', 0 < x < 1.
.n2rrlthat
-:?*7*?+--
OR
a. Find the Fourier series of the periodic function defined by (x)
b. Show that the half range sine series for the function (")
8123 I (2n+r
71o".-*''[ I )"*
c' Express y as a Fourier series upto 1't harmonic given :
ModuIe-2
Find the Fourier transform of
f(x)_1,-l*1, l*l<l / L o, l*l>1
and hence deduce trrot f
thr2 t
dt - + .
t( 2 '
Find the Fourier Sine and Cosine transforms of (x): e**, cr > 0.
sol,e byusing z-transforms yn+r *1r, :(+)' (n)0),y0 =0.
: 2x - *,0 < x < 3.(oo Marks)
(05 Marks)
(05 Marks)
(06 Marks)
(05 Marks)
(05 Marks)
x 0 1 2 3 4 5
v 4 8 t5 7 6 2
c.
1 of3

2. -
---ryEl
4a.
b.
c.
OR
Find the Fourier transform of (x) : .-l*1.
Find the Z - transform of sin(3n + 5).
Find the inverse Z - transform of :
(z-I)(z-2)
Module-3
a. Find the correlation coefficient and the equation of the line of regression
values of x and y.
I5MAT31
(06 Marks)
(05 Marks)
(05 Marks)
for the following
(06 Marks)
b. Find the eqtration of the best fitting straight line for the data :
Use Newton - Raphson method to find a real root of the equation
iterations).
(05 Marks)
x log10 x - 1.2 (carry out 3
(05 lVIarks)
OR
a. Obtain the lines of regression and hence find the coefficient of correlation fbr the data :
b. Fit a second degree parabola to the following data :
c. Use the Regula-Falsi method to
decimal places.
find a real root of the equation x3 - 2x- 5 :0, correct to 3
(05 Marks)
(06 Marks)
(05 Marks)
7a.
b.
ModuIe-4
Given Sin45o : 0.7071, Sin50" : 0.7660, Sin55o -using an appropriate interpolation formula.
construct the interpolation polynomial for the data
difference formula :
0.8192, Sin60o : 0.8660 find Sin57"
(06 Marks)
given below using Newton's divided
(05 Marks)
(05 Marks)
x 2 4 5 6 8 10
v 10 96 196 350 868 17 46
use Simpson's {rd rule with 7 ordinates to evaluate I o.
tlogl s x
x 1 2 J 4 5
v 2 5
a
J 8 7
x 0 I 2
.!
J 4 5
v 9 8 24 28 26 20
x I 2
1
J 4 5 6 7
v 9 8 10 t2 11 13 T4
x I 2
a
J 4 5
v 10 L2 13 16 T9
c.
2 of 3

3. $
8a.
b.
15MAT31
OR
Given (40): 184, (50) :204, (60) :226, (70) :250, (80) :2't6, (90) :304, find (38)
using Newton's forward interpolation ftrrmula. (06 Marks)
Use Lagrange's interpolation formula to fit a polynomial for the data:
c.
Hence estimate y atx:2.
I
Evaluate
I-dxby Weddle's rule taking seven ordinates and hence
0r+x
-----7
If F - 2xyr + yz2 j + xzkand S is the rectangtilar parallelopiped bounded
Z:0rx:2ry:1 ,z:3 evaluaa.
II? ilOt .
S
Find the geodesics on a surflace given that the arc length on
(05 Marks)
find log.2.
(05 Marks)
in a plane.
(06 Marks)
rectangle
(05 Marks)
(05 Marks)
where c is the
(06 Marks)
by*:0,y:0,
(05 Marks)
the surface is
(05 Marks)
10 a.
Module-5
a. Find the area between the parabolas y' :4x and x' :4y using Green's theorem
Veri$ Stoke's theorem for the vector ? - (*2 * y2)i-2*i taken round the
bounded by *: 0, X : d,y:0, y: b.
Find the extremal of the functional , ffr' * *2 (y,)21dx .
x1
verify Green's theorem in a plane for f.t:*'-gy2)dx+ (4y-6xy)dy
boundary of the region enclosed by y: Jx and y : x2
b.
c.
b.
c.
R
f.
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3 of3

4. ffituUSN 1sCV/CT32
Third Semester B.E. Degree Examinatior, June/July 2018
Strength of Materials
Time: 3 hrs. Max. Marks: 80
Note: 1. Answer any FM full questions, choosing
ONE full question from each module.
2. IV[issing data, tf any, may be suitably assumed.
Module-1
I a. For a bar ofuniform section derive an expression for elongation due to self weight. (06 Marks)
b. Evaluate the deformation of the bar, given, E1 = Br: E: = 200GPa, refer Fig.Ql(b).
(10 Marks)
Fig.Q1(b)
OR
Derive an expression between Young's modulus, Modulus of rigidity and Foisson's ratio.
(10 Marks)
is subjected to a tensile force of 45kN
strain and elongation of bar due to applied
(06 Marks)
Module-2
At a certain point in a stressed body, the principal stresses are ox : 80 MPa and
oy: -40MPa. Determine <r and t on the planes urhose normal's are at +30o and +120" with
x - axis. (16 Marks)
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2a.
b.
4a.
b.
5a.
b.
A circular rod of dia 200mm and 500mm long
modulus of elasticity:200 kN/mni, Find stress,
load.
Derive an expression
VESSEIS.
Define : i) bending
diagram.
Draw SFD and BMD for the cantilever beam shown in Fig.Qs(b).
A rectangular block of material is subjected to a tensile stress of 100N lmm2 on one plane
and a tensile stress of 50N/mrn2 on a plane at right angles together with shear stress of
60 N/mm' on same planes, find : i) diiection of it. p.ircipal ltur. ii) magnitude of the
principal plane iii) magnitude of greatest shear stress. (08 Marks)
OR
of tangential stress and longitudinal stress of thin walled pressure
(08 Marks)
Module-3
moment ii) shear force iii) shear force diagram iv) bending moment
(08 Marks)
(08 Marks)
^
1
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Fig.Q5(b) fl {rD F rrD D Pnc' c- IrD A
L {'n l, , -3nr _+ 3.lr_.+,
I ^f ')

5. ----------i
I'CYICT32
OR
6 a. Derive the relation between load intensity, bending moment and shear force. (06 Marks)
b. A beam ABC, 8m long has supplied at A and B, it is long between A and B. The beam
carries an udl of l0kN/m between A and B. At free end point c, a point load of 15 kN acts.
Draw BMD and locate point of contra-flexure, if any. (10 Marks)
b. A cast iron beam section shown in Fig.Q7(b) is freely supported on a span of 5m. IF the
tensile stress is not to exceed20 N/mm'. Find the safe UDL which the beam can carry. Find
also the maximum compressive stress. (10 Marks)
Ssr"on
a. Explain
bending.
a. Derive an
b. A hollow
to carryz a
diameter
1
Cf,:-
1 600
ModuIe-4
pure bending with an suitable example and mention the assumptions of pure
(06 Marks)
# *,rm rn
?&*""r r,,
,QO pr51-
1*
l d O rr",r.:
Fig.Q7(b)
OR
Euler's crippling load when both ends of the column are pinned. (08 Marks)
(08 Marks)
ModuIe-5
a. Derive torsional equation for circular shaft. (0g Marks)
b. A steel shaft transmits l05kN at 160 rpm" If the shaft is 100mm in diameter. Find the torque
on the shaft and the maximum sharing stress induced. (0g Marks)
cylindrical cost iron column is 4m long both ends being. fixed. Design the column
axial load of250 kN. Use Rankine's formula and factor of safety:5. The internal
may be taken as 0.80 time the external diameter. Take Ec : 550 N/mm2 and
(06 Marks)
of the shaft if
in a length of
(10 Marks)
r0
OR
a. Define pure torsion, polar modulus and torsional rigidity.
b. A solid shaft is subjected to a torque of 15 kN-m. Find the necessary diameter
the allowable shearing stress is 60N/mm2 and the allowable twist is I degree
20 diameters of the shaft. Take C:8 x 104 N/mm2.
*{<**(t
2 of 2

6. USN 1scv33
(06 Marks)
(04 Marks)
specific gravity of two litres of a
(06 Marks)
(ii) differential
(06 Marks)
(04 Marks)
(06 Marks)
is irrotational
(06 Marks)
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Third Semester 2018
Time: 3 hrs.
Max. Marks: 80
Note: 1' Answer any FIVEfull questions, choosing onefult questionfrom each module
2. Assume missing data tf any suitably.
1 a. Distinguish between
i) Ideal fluid and real fluid
Module-l
ii) Newtonion and non Newtonion fluid
iii) Cohesion and adhesion
b. State and prove pascal,s law.
c. calculate the specific weight, density, specific volume and
liquid which weighs t 5 N.
OR
2 a' with the help of neat sketches, explain (i) simple U-tube manometer and
U-tube manometer.
3 a. Distinguish between:
i) Steady and unsteady flow
b' What is capillatity? Derive an expression for capillary rise and a liquid in a glass tube.
(04 Marks)c' A U tube differential manometer connects two pipes A and B. pipe A coltains carbon tetra
chloride nu.Yr* specific gravity 1.594 under u pi..rure of ttt.72kN/",i;il;i;.;"contains
oil of specific gravity 0.8 under a pressrr. of 117.72 kNA2. ,r";lpe A lies 2.5 mabove
pipe B' Find the difference in pressure measured by mercury as fluid filling U-tube. Assume
mercury in the right limb is 50 cm below centre of pipe B. (06 Marks)
Module-2
ii) Rotational and irrotational flow (04 Marks)
b' Derive the expressions for total pressure and centre of pressure for a plane surface
submerged vertically in a liquid. (06 Marks)
c' A circular opening 3m diameter, in a vertical side of a tank is closed by a disc of 3m
diameter which can rotate about a horizontal diameter. Calculate: (i) The force on the disc,
and (ii) The torque required to maintain the disc in equilibrium in vertical position when the
head of water above the horizontal diameter is 6m. (06 Marks)
a' Define the terms velocity potentiur rur.tflland stream function.
b' Derive an expression for continuity equation for a three dimensional flow.
c. A stream function in a two dimensional flow is V :2xy. Show that the flow
and determine the corresponding velocity potential $.
I of 2

7. l,
15CV33
Module-3
a. What is pitot tube? How will you determine velocity using pitot tube? (04 Marks)
b. State and prove Bernoulli's theorem for steady flow of an incompressible fluid. (06Marks)
c. The water is flowing through a tapper pipe of length 100 m having diameters 600 mm at the
upper end and 300 mm at the lower end at the rate of 50 litres/s. The pipe has a slope of I in
30. Find the pressure at the lower end if the pressure at the higher end is 196.2 kpa.
(06 Marks) I
i
6a.
b.
c.
OR
Define the terms: i) forced vertex flow and ii) free vertex flow.
What is venturimeter? Derive an expression for discharge through a venturimeter.
A pipe of 300 mm diameter conveying 300 litres/s of water has a right angled
horizontal plane. Find the resultant force exerted on the bend if the pressure at
outlet of bend are 245 .25 kPa and 235 .44 kPa.
Module-S
a. Explain briefly:
i) Hydraulic gradient line and
ii) Energy gradient line
b. Derive an expression for head loss duo to friction in pipes.
c. A rigid pipe conveying water is 3200 m long. The velocity of flow is 1.2 m/s.
rise of pressure behind a valve at the lower end if it is closed (i) in
(ii) in 3 seconds. Take bulk modulus and water equal to 2000 N/mm2.
OR
l0 a. Explain briefly the phenomenon of water hammer.
b. Derive an expression for head loss due to sudden enlargement in a pipe flow.
c. At a sudden etrlargement of a water main from 240 mm to 480 mm diameter,
gradient rises by 10 mm. Estimate the rate of flow.
*X<:f{<X(
2 of 2
(04 Marks)
(06 Marks)
bend in a
inlet and
(06 Marks)
(04 Marks)
(06 Marks)
Calculate the
20 seconds
(06 Marks)
(04 Marks)
(06 Marks)
the hydraulic
(06 Marks)
7a.
b.
c.
ModuIe-4
Explain different hydraulic coefficient and establish the relation between them. (04 Marks)
Derive an expression for discharge over a triangular notch. (06 Marks)
The head of water over an orifice of diameter 100 mm is 5m. The water coming out fromthe
oritice is collected in a circular tank of diameter 2 m. The rise of water level in circular tank
is 450 mm in 30 seconds. Also the coordinates at a certain point on the jet, measured from
vena-conttacta are 1000 mm horizontal and 52 mm vertical. Find the hydraulic coefficients
Cv, Ca and Cc. (06 Marks)
OR
a. Explain the terms:
i) Velocity of approach
ii) Effect of end contractions in notches (04 Marks)
b. What is Cipolletti notch? Derive an expression for discharge over a Cipolletti notch.
(06 Marks)
c. Water flows over a rectangular weir l.2m wide at a depth of 15 cm and afterwards passes
through a triangular right angled weir. Taking coefficient of discharge for rectangular Weir
0-62 and for triangular Weir 0.59 find the depth over the triangular Weir. 1oo rrrart<s;

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Time: 3 hrs. Max. Marks: 80
Note: Answer any FM full questions, choosing
ONE full question from each module.
Module-1
a. Define surveying. (02 Marks)
b. What are the primary divisions of surveying? Explain briefly. (05 Marks)
c. The area of the plarr of an old survey plotted to a scale of l0 meters to 1cm measures now as
100.2 sq.cm as found by a planimeter. The plan is found to have shrunk, so that a line
originally lOcm long now measures 9.7cm only. There was a note on the plan that the 20m
chain used was Scm too short. Find the true area of plan. (09 Marks)
OR
a. By means of neat sketches show any six conventional symbols used in surveying. (06 Marks)
b. Define precision and accuracy. (02 Marks)
c. In passing an obstacle in the form of a pond, stations A and D on the main line rrrere taken
on the opposite sides of pond, on the left of AD, a line AB, 200m long was laid down and a
second line AC, 250m long was ranged on right of AD points B, D and C being in the same
straight line, BD and DC were then chained and found to be 125m ancl 150m. Find the
Third Semester B.E. Degree Exarminatida, June/July 2018
Basic Surveying
r:i-
l5cv34USN
4a.
b.
c.
length AD.
Module-2
a. Differentiate between prismatic and surveyors compass (any 3).
b. convert the whole circle bearings to quadrantal bearings :
i) 2230' ii) 170"12' iii) 211"54' iv) 327"24' .
c. Determine the value of included angles in a closed oompare surrey ABCD
clockwise direction given the following data. Apply the check.
(08 Marks)
(06 Marks)
(02 Marks)
conducted in
Line FB
AB 400
BC 70"
CD 210"
DA 2900
(08 Marks)
Define : i) Face left ii) '.[ransiting iii) S*r0rt g as applied to theodolite surveying. (03 Marks)
With a neat sketch, explain the method of measurement of horizontal angle by repletion
method. State the errors eliminated by this method. (05 Marks)
The following angles were observed in the clockwise direction in an open traverse.
Lenc :124"15', Lgco: r56"30', Lcop: r02"00', Lnrp:95o15,, Lppc :2r5o45,
The magnetic bearing of the line AB :240%A'what would be the bearing of line FG?
(08 Marks)
1 nf ?

9. a.
b.
c.
ModuIe-3
Explain closed and open traversed with neat sketches.
State Bowditch's and Transil rule.
Calculate latitudes, departures and clclsing effor for the following
15CV34
(06 Marks)
(04 Marks)
traverse conducted at a
(06 Marks)
(04 Marks)
(02 Marks)
PQ and the following
7a.
b.
place.
Line Leneth (m) Web
AB 89.3 r 450 1o',
BC 2r9.7 6 72"05'.
CD 151.18 16l" 52',
DE 1s9. l0 228"43',
EA 232.26 300"42',
OR
a. Define tacheometry under what circumstances it is used?
b. State any four characteristics of a tacheometer.
c. A tacheometer is setup at an intermediate point on a traverse course
observations are made on a vertically held staff.
Staff stn Vertical angle Staff intercept Axial hair readins
P +9o36' 2.3s0 2.t05
a +6"6', 2.055 1.895
The instrument is fitted with an anallatic lens and the constant is 100.000. Compute the
length of PQ and reduced level of Q, if that of P being 321.50 meters. (10 Marks)
ModuIe-4
Define the terms : i) Back sight ii) Fore sight iii) Intermediate sight iv) change point.
(04 Marks)
Compare height of instrument method and rise and fall method of reduction of levels.
(04 Marks)
The following consecutive readings were taken with a level and 5m leveling staff on
continuously sloping ground at a common interval of 20 meters :
0.835, I .030, 1.925, 2.825, 3.730, 4.685, 0.625, 2.005, 3. I 10 and 4.485m.
The reduced level of first point was 208 .I25m. Rule outer page of level field book and enter
the readings. Calculate the reduced levels of points by rise and fall method and apply check.
Calculate also the gradient of line joining the first and last point. (08 Marks)
OR
a. Explain reciprocal leveling. (04 Marks)
b. An observer standing on the deck of ship just sees a light house. The top of light house is
42m above the sea ler.el and the height of observers Eye is 6m above the sea level. Find the
distance of observes from the light house. (05 Marks)
c. In order to ascertain the elevation of the top (Q) of the signal on a hill, observations were
made from two instrument stations P and R at a horizontal distance 100m apart, the stations
P, R, and Q are in a line. The angles of elevation of Q at P and R were 28"42' and 18o6'
respectively. The staff reading on a bench mark of elevation 287.28m from P : 2.870, from
R : 3 .750. Determine the Elevation of foot of signal if height of signal: 3M. (07 Marks)
c.
2 of 3

10. l5cv34
Module-5
9 a. The following perpendicular offsets were taken from a chain line to an irregular boundary.
Chainage (m) 0 30 60 90 r20 150 180 210
Offset length (m) 0 2.6s 3.80 3.7 5 4.65 3.60 s.00 s.80
Calculate the area between the chain lines and irregular boundary, first and last offsets by
i) Trapezoidal rule ii) Simpson's rule. (08 Marks)
b. Calculate the area enclosed by a traverse ABCD for the following data : Assume
co-ordinater as (100, 200).
Line Latitude (m) Departure(m)
AB +32.05 +40.24
BC _J +92.00
CD -97 .85 +6.402
DE -1s.8 -107.00
EA +94.6 -3t.602
(08 Marks)
OR
10 a. With neat sketches explain any six characteristics of contours. (06 Marks)
b. Calculate the area of zero circle with the following data :
IR FR Position anchor point Remarks
6.s20 2.724 Outside the fig
Zero of counting dise crossed index once
clockwise
t.222 7.720 Inside the fig
Zero of counting dise crossed and index twice
anticlockwise
Assume that tracing arm of planimeter was so set that tone revolution of measuring wheel
measures 100cm2 on paper. (06 Marks)
c. Write short notes on :
i) Interpolation of contours
ii) Contour gradient. (04 Marks)
,< {< {< {< ,<
3 of3

11. )'
USN
15CV/CT35
it is fonned,
(06 Marks)
(05 Plarks;
types .|oints
(05 lllarks
(08 Marks)
(08 Marks)
(16 Ntarks)
in selection of
(16 Marks)
sensing rvith a neat sketch.
(16 Marks)
Time: 3 hrs.
Third Semester B.E. Degree Examination, June/July 2018
Engineerimg GeologY
Note: Answer any I-IVE full questions' choosing
ONhl full question from each module'
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a.
' Module-l
1 a. Describe the importance and applications of geology in civil engineering practtttt',0,
Marks)
b. Describe the internal structure and composition of the earth with a neat diagram' (05 Marks)
c. Define what.is a.mineral? Describe how minerals are classifieds. Describe the physical
propefti;s-'ii,iioi unJ rru.rure with mineral examples' (06 Marks)
z a. Definel what is rock? classify the different types of rocks and describe hor'v
(iive examples. Explain the rock cycle'
n
. .ii;iat"i, rotaz Describe with a neat diagram the different parts of a fold'
c.. :what are joints? Describe the classiflcation of joints. Explain the different
. I r. - -^L^---, ^-l .aaf omnrnhin rnckc
presentinigneous,sedimentaryandmetamorphicrocks.
': Module-2
3a.Whatisfault?Drawanetdiagramofthefault
classification of fault with neat sketch'
b.Describethegeologicalconsiderationsofjoints
tunnels.
OR
4 Describe in detail with neat sketches concordant anddisco.rdat:t'igneous intrusions' (16 Marks)
5 a. What is weathering? Describe in OetT-m-physical,weathering and
b.Giveadetailedaccountofgeologicworkofrir.ers.
GR
and describe the diffbrertr parts' Write the
and folds in the constt'uctio,., ortlffil?
(08 Marks)
chemical weathering.
(08 Marks)
(08 Marks)
a.Whatisearthquake?Writethecausesanc!effects.
b. what are seismic waves? Describe in derail the different seismic waves.
Elodule-4
Whatisanaquifer?Explainti.,.]airffip.'ofaquifersanditsproperties.
OR
what is ground water: invesrigation? Describe the different methods involved
well sites. Descrihe,rhe electiical resistivity method of selecting a well site'
What is renrc-te sensing? Explain the basic concepts of remote
Explain tlrc- a,rJvantages and disadvantages of remote sensing'
l0 Descrlibe in detail the impact of mining, quarrying and reservoirs on environment' (16 Marks)
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Third Semester B.E. Degree F,xamination, June/July 2018
Building Materials and Gonstruction
Time: 3 hrs. Max. Marks: 80
Note: Answer any FIVE.full questions, choosing one full question from each module.
I
Module-1
a. what are the requirements of gooo uffiin-ne? Explain the dressing of stones. (08 Marks)
b. List the various tests corieiucted on coarse aggregate. Explain any one of them in brief,
(08 Marks)
OR
Explain the dirTbrent types of preservations commonly adopted in the preservation of stones.
(08 Marks)
What :are the requirements of good bricks and explain the field and laboratory tests on
39.
'b.
(08 Marlrs)
(08 ,Iarks)
With the help of neat sketches explain the various types of Joints used in stone maslt]Y
(08 Marks)
4 a. What is safe bearing capacity (SBC) of a soil? Briefly explain various rnethods adopted to
improve SBC. (08 Marks)
b. Explain the following :
(i) Header, (ii) Flemish bond, (iii) Load bearing, (iv) Partiticin walls.
Module-3
5 a. Define lintels and mention its function and classificatiern. (08 Marks)
b. Sketch a King post truss made of timber. which has to support tile roofing. Narne the
components. (08 Marks)
6 a. Give the classification of arches unO .*i,B[ stability of an arch. (08 Marks)
b. Discuss the various flooring rnaterials used and explain any two of them in detail. (08 Marks)
Module-4
7 a. Briefly explain the factoi.s to be considered while locating the position of doors and
windows (08 Marks)
b. With the help of a neat sketch briefly explain the dog legged staircase and its components.
: (08 Marks)
bricks.
Module-2
Explain the essential requirements of u good forndation.
I' OR
8 a. With the heip of a neat sketch explain the following :
(i) Woodeir paneled door (ii) Collapsible door.
(08 Marks)
(08 Marks)
b. Wr.ite a rtote on different types of stairs and explain the requirements of a good stair.
I of2

13. l5cv36
Module.'5_
9 a. Briefly explain the purpose of plastering, an*5 Oxplain the various methods of plasters.
(08 Marks)
b. E,xplain in brief causes and effects of Ciampners in a building. (08 Marks)
OR
l0 a. What are the objects of plasterihg and painting. (08 Marks)
b. Describe the different types of paints available in market and their specific usage. (08 Marks)
*8***
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