Paper / Subject Code: 40401 / APPLIEDMATHEMATICS - IV Q.P ...

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Q.P. Code: 37729

Page 1 of 3

(3 hours) [Total marks: 80]

N.B. (1) Question No. 1 is compulsory.

(2) Answer any Three from remaining

(3)Figures to the right indicate full marks

(4) Use of statistical tables is allowed.

1.a) Show that the matrix A = [1 2 32 3 43 4 5

]is non derogatory 5

b) Determine all basic solutions to the following problem-

Maximize z = x1 +3x2 +3x3

Subject to

x1 +2x2 +3x3 = 4

2x1 +3x2 + 5x3 = 7

𝑥1, 𝑥2, 𝑥3, ≥ 0 5

c) Prove that �̅�= (2𝑥𝑦 + 𝑧)𝑖 + (𝑥2 + 2𝑦𝑧3)𝑗 + (3𝑦2𝑧2 + 𝑥)𝑘 is an irrotational vector and find the

corresponding scalar such that F . 5

d)Can it be concluded that the average lifespan of an Indian is more than 70 years if a random

sample of l00 Indians has an average lifespan of 71.8 years with standard deviation of 8.9 years? 5

2.a)Show that the matrix A = [8 −8 −24 −3 −23 −4 1

] is diagonalizable. Also find the transforming matrix

and the diagonal matrix. 6

b Using Green’s Theorem ,evaluate dyxyydxyxC

)64()83( 22 where C is the boundary of

the region defined by y = 2x and y = x . 6

c)Solve the following problem by simplex method

Maximize Z = 3x1+2x2

Subject to 3x1+2x2≤18,

x1 ≤ 4,

x2 ≤ 6, 𝑥1, 𝑥2 ≥ 0 8

3. a) Use Stoke’s theorem evaluate rdF . �̅�= 2y (1-x)i + (x-x2-y2)j + (x2 + y2 +z2)k where and s is

the surface of the plane x+y+z = 2 which is in the first octant . 6

Paper / Subject Code: 40401 / APPLIEDMATHEMATICS - IV

846186EBBB7276A9D73B4155D65A814F

1T00624 - S.E (Civil Engineering)(SEM-IV)(Choice Base) / 40401 - APPLIED MATHEMATICS - IV

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Q.P. Code: 37729

Page 2 of 3

b) The standard deviations calculated from two random samples of sizes 9 and 13 are 1.99 and 1.9.

Can the samples be regard as drawn from the normal populations with the same standard deviation?

(Given F0.025 =3.51 with d.o.f. 8 and 12 and F0.025 =4.20with d.o.f. 12 and 8 or F0.05 =4.50 with d.o.f.

8and12) 6

c) Use Penalty Method (Big M method) to solve the following L.P.P.

Minimize z = 6x1 + 4x2

Subject to the constraints

2x1 + 3x2 ≤ 30 3x1 + 2x2 ≤ 24

x1 + x2 ≥ 3,

𝑥1, 𝑥2 ≥ 0

8

4.a)Verify Cayley-Hamilton theorem for the matrix A = [2 1 10 1 01 1 2

] . Hence find 1A

6

b) Marks obtained by students in an examination follow normal distributions. If 30% of students

got below 35 marks and 10% got above 60 marks. Find mean and standard deviation. 6

c) Use the dual simplex method to solve the following L.P.P.

Minimize Z = x1 + x2

Subject to 2x1 + x2 ≥ 2 , −x1 − x2 ≥ 1, x1, x2 ≥ 0. 8

5.a) Find eA and 4A , if A =

2

3

2

1

2

1

2

3

6

b)A random discrete variable x has the probability density function given

x -2 -1 0 1 2 3

P(x) 0.1 k 0.2 2k 0.3 k

find k, the mean and the variance 6

c) In an experiment on immunizations of cattle from Tuberculosis the following results were

obtained. Use 2χ -test to determine the efficiency of vaccine in preventing tuberculosis. 8

Affected Not affected Total

Inoculated 290 110 400

Not Inoculated 310 90 400

Total 600 200 800

6.a) Use Gauss divergence theorem to evaluate ∬ �̅�. �̅� 𝑑𝑠 where �̅� = 𝑥2𝑖̅ + 𝑧𝑗 ̅ + 𝑦𝑧�̅� and

s is the surface of the cube bounded by x = 0, x = 1, y = 0, y = 1, z = 0, z = 1 6


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Q.P. Code: 37729

Page 3 of 3

b) The means of two random samples of size 9 and 7 are 196.42 and 198.82 respectively. The sum

of the squares of the deviation from the mean are 26.94 and 18.73 respectively. Can the sample be

considered to have drawn from the same normal population? 6

c) Reduce the quadratic form, x12 + 2x2

2 + 3x32 + 2x1x2 + 2x2x3 - 2x3x1 to the canonical form.. Also

find its rank, index and signature, using congruent transformations. 8

**************


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Q. P. Code: 36431

Page 1 of 3

[3hours] Total Marks 80

N.B. (1) Question No 1 is compulsory

(2) Attempt any 3 of the remaining

(3) Use of statistical table is allowed

1. a) A variable X follows a Poisson distribution with variance 3. Find (5)

P(x=2) and P(x≥ 2)

b) Evaluate 9 6 1 0 .

s

x i y j zk d s where s is surface of the sphere with radius 2,

using Gauss divergence theorem. (5)

c) Ten individuals are chosen at random from a population and their heights are

found to be 63, 63, 64, 65, 66, 69, 69, 70, 70, 71 inches.

Discuss the suggestion that the mean height of the universe is 65 inches. (5)

d) Using Cayley- Hamilton Theorem find IAAA 432245 where

21

13A (5)

2. a) A continuous random variable X has the probability density function (6)

f(x) = kx2e-x, x 0. Find k,mean and variance

b) Ten school boys were given a test in statistics and their scores were

recorded. They were given a months special coaching and a second test

was given to them in the same subject at the end of the coaching period.

Test if the marks given below give evidence to the fact that the students are

benefitted by the coaching.

Marks in Test I : 70, 68, 56, 75, 80, 90, 68, 75, 56, 58

Marks in Test II : 68, 70, 52, 73, 75, 78, 80, 92, 54, 55 (6)

c) Two lines of regression are given by x+6y = 6 ,and 3x+2y =10

calculate (i) mean values of x and y, (ii) the coefficient of correlation and (8)

(iii) estimate y when x = 12

3 .a) It is known that the probability of an item produced by a certain machine will be

defective is 0.05. If the produced items are sent to the market in packets of 20,

find the number of packets containing (i) at least2, (ii) exactly2 and (iii) at most

2 defective items in a consignment of 1000 packets using Poisson distribution (6)

Paper / Subject Code: 39601 / Applied Mathematics-IV

846186EBBB7276A9D73B4155D65C126F

1T00614 - S.E.(CIVIL)(SEM IV)(CBSGS)38801 - APPLIED MATHEMATICS - IV

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Q. P. Code: 36431

Page 2 of 3

b) Use Stoke’s theorem to evaluate rdF

C

. where xykzxjyziF and c is the

boundary of the circle 1222 zyx ,z =0 (6)

c) Find the eigen values and eigen vectors of the matrix A =

143

234

288

(8)

4. a) Out of 800 people 25% were literate and 300 had travelled beyond the

limits of the district. 40 % of the literates were among those who had not

travelled. Prepare a 2x2 table and test at 5% level of significance whether

there is any relation between travelling and literacy (6)

b) Compute rank correlation coefficient from the following

X : 10, 12, 18, 18, 15, 40

Y : 12, 18, 25, 25, 50, 25 (6)

c) The marks of 1000 students of a university are found to be normally

distributed with mean 70 and standard deviation 5. Estimate the number of

students whose marks will be (i) between 60 and 75 (ii) more than 75

(iii) less than 68 (8)

5.a) A machine is set to produce metal plates of thickness 1.5 cms with standard

deviation of 0.2 cms. A sample of 100 plates produced by the machine gave

an average thickness of 1.52 cms. Is the machine fulfilling the purpose? (6)

b) Using the method of Lagrange’s multipliers solve the following N.L.P.P

Optimise 2

2

2

156 xxz

Subject to ,7521 xx

0,21xx (6)

c) If the vector field F is irrotational find the constants a,b,c where F is given by

kzcyxjzybxiazyxF )24()3()2( . Find the scalar potential of F .Then

find the workdone in moving a particle in this field from (1,2,-4) to (3,3,2)

along the straight line joining these points (8)

6.a) Using Green’s theorem evaluate dyxdxyxy

c

22

)( where c is the closed curve


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Q. P. Code: 36431

Page 3 of 3

of the region bounded by 2, xyxy (6)

b) Show that A =

312

132

226

is derogatory and find its minimal polynomial (6)

c) Using the Kuhn-Tucker conditions solve the following problem (8)

Maximise 21

2

3

2

2

2

164 xxxxxz

Subject to 221 xx , 1232

21 xx

0,,321xxx

***********


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Q. P. Code: 40831

Time: 4 Hours Max.Marks:80

Note: . 1. Q. No. 1 is compulsory.

2. Attempt any 3 of the remaining questions.

3. Assume any suitable data, if required and clearly mention the same.

Q.No.1 It is proposed to construct a Residential Bungalow as (G+1) R.C.C framed structure

on a plot of 40 m.X45 m. with Floor-Floor height of 3.3 m. Following are the requirements:

(i) Living Room = 22 Sq.m.

(ii) Drawing Room = 20 Sq.m.

(iii) Master’s Bed Room (with A.T) = 20 Sq.m.

(iv) Kitchen = 12 Sq.m.

(v) Dining = 16 Sq.m.

(vi) Bed Room = 16 Sq.m.

(vii) Guest Room = 14 Sq.m.

(viii) Pooja Room = 12 Sq.m.

Provide Toilets, passages etc. as per the Bye-laws. Draw the following with asuitable scale:

(a) GROUND FLOOR PLAN 15

(b) LINE PLAN OF FIRST FLOOR 05

Q.No.2. Draw 2-Point perspective for the building, you have proposed in Q.No.1 20

Q.No.3 (a) Draw SITE PLAN for the building, you have proposed in Q.No.1 05

(b) Draw Sectional Elevation for the building, you have proposed in Q.No.1 15

Q.No.4. Plan, Design and draw a HOTEL(Lodging &Boarding) building in a City with the

following facilities as (G+1) R.C.C framed structure .(Floor-Floor height = 3.6 m.).

(i) Single-Bed Rooms = 6 no.(each 15 Sq.m. with A.T)

(ii) Double-Bed Rooms = 6 no.(each 20 Sq.m. with A.T)

(iii) Entrance & Reception = 40 Sq.m.

(iv) KITCHEN = 60 Sq.m.

(v) DINING = 100 Sq.m.

(vi) LAUNDRY = 30 Sq.m.

(vii) HEALTH CLUB = 60 Sq.m.

Provide Toilets, passages etc. as per the Bye-laws. Draw the following with asuitable scale:

(a) GROUND FLOOR PLAN 15

(b) LINE PLAN OF FIRST FLOOR 05

Q.No.5 (a) Draw Front Elevation for the building, you have proposed in Q.No.1 10

(b) Draw Foundation Plan & details of one Footing for the building,

you have proposed in Q.No.1 10

Q.No.6 Write Short notes on the following: 20

(a) Principles of TOWN PLANNING

(b) GREEN BUILDING

(c) Principles of Planning for Residential structures

(d) SUN-PATH DIAGRAM/WIND-ROSE DIAGRAM

*********

Paper / Subject Code: 40404 / Building Design & Drawing

9D52F0F6A8FDAEC3592C926912643911

1T00624 - S.E.(CIVIL)(Sem IV)(Choice Based) / 40404 - BUILDING DESIGN & DRAWING

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Q.P. Code : 18498

(4 Hours) (Max. Marks:80)

1. Q.No. 1 is compulsory

2. Attempt any three questions from remaining five questions.

3. Assume any data suitably if not given and state it clearly.

1. It is proposed to construct a RESIDENTIAL APARTMENT (STILT+3) in Thane City . The building

is, R.C.C. framed structure, The plot size is 28 m x 30 m.

There are two flats on each floor, Type 1: 1 BHK (Approx. Area 55 sq. mt.) and

Type 2 : 2BHK (Approx. 70 sq.mt.)

Provide passages, staircase , parking area etc. as per byelaws.

(a) Draw Typical floor plan. (15)

(b) Draw Stilt Level plan (05)

2. (a) Explain Principles of planning with neat sketches. (10)

(b) Draw the foundation plan for the building given in Q.No.1 (10)

3. (a) Draw the detailed sectional elevation passing through staircase and other important

units of building given in Q.No.1. (15)

(b) Explain Working drawing and submission drawing (05)

4. (a) Differentiate among Load Bearing, Framed and Composite structure with neat

sketches and examples. (06)

(b) Draw the plan and section of pitched roof on hall measuring 8m x 8m. (08)

(c) Explain Sun Path diagram with its application in building planning (06)

5. (a) Draw the front elevation of the building given in Q.No.1. (10)

(b) Draw the site plan showing proposed built-up area, internal road, parking area,

open space etc of the building given in Q.No.1. (10)

6. (a) Draw the plan and section of open well staircase for an educational building (G+1)

having floor to floor height 3.6 mts. Also show design calculations. (10)

(b) What are various objects of building bye-laws. Explain Carpet area. (05)

(c) Draw roof terrace plan of the building given in Q.No.1 (05)

--------------------------------

Paper / Subject Code: 38804 / BUILDING DESIGN & DRAWING-I

9D52F0F6A8FDAEC3592C926912648C3A

1T00614 - S.E.(CIVIL)(Sem IV)(CBSGS) / 38804 - BUILDING DESIGN & DRAWING-I

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Q. P. Code :25896

Page 1 of 4

(3 Hours) (Max. Marks-80)

N.B.

1) Question no.1 is compulsory. Attempt any three out of remaining five questions.

2) Figures to the write indicate full marks.

3) Assume suitable data if needed but justify the same.

Q.1 Answer any four from following-

(a) State and explain-

i. Betti’s theorem

ii. Castigliano’s theorem.

5

(b) Write Prof.Perry’s formula, explaining the terms involved. Also state the

importance of this formula over Secant formula.

5

(c) A 3-hinged symmetrical parabolic arch is subjected to UDL over the entire span,

Using the concept of ILD for bending moment (BM); prove that the BM at every

section of the arch is zero.

5

(d) Explain with neat sketches the terms-(i) Unsymmetrical bending (ii) Shear centre.

Also state their significance in structural analysis.

5

(e) Write the BM equation needed as per Macaulay’s method for the beam loaded as

shown-

5

(f) State & explain Moment Area Theorem-II. Also draw the conjugate beams for

following real beams shown below-

5

Paper / Subject Code: 38803 / STRUCTURAL ANALYSIS - I

0281C74C6A947396FE1A36B322FBB82D

1T00614 - S.E.(CIVIL)(Sem IV)(CBSGS) / 38803 - STRUCTURAL ANALYSIS - I

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Q. P. Code :25896

Page 2 of 4

Q.2 (a) For a rigid jointed plane frame shown in figure, find support reactions and draw

FBD for all four members. Also draw AFD, SFD and BMD for the frame, indicating

important points. Note that there is internal hinge at ‘B’.

10

(b) An unsymmetrical 3-hinged parabolic arch is loaded as shown in figure.

Find-

i. The position of third hinge at ‘C’ above the left support.

ii. Support reactions. .

iii. The position & magnitude of max +ve and max -ve BM in the arch.

Also draw BMD for the arch.

10

Q.3 (a) A pin jointed truss is loaded and supported as shown in figure. Determine the

horizontal deflection of joint ‘C’ using Unit Load Method.

Take axial rigidity AE = 30,000 KN for all members.

10


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Q. P. Code :25896

Page 3 of 4

Q.3 (b) Using Moment Area Method OR Conjugate beam method, determine the location

and magnitude of maximum deflection in a non-prismatic simply supported beam

loaded as shown.

10

Q.4 a) A 3-hinged stiffening girder of a suspension bridge of span 120 m is subjected to

two point loads of 180 KN and 240 KN at distances 30 m and 80 m respectively from

left support. The supporting cable has a central dip of 12 m. Draw SFD & BMD for

the girder, indicating important points. Also find maximum & minimum cable tension.

12

(b) A simply supported girder of span 24 m is traversed by a series of five wheel loads

10 KN,20 KN, 20 KN, 25 KN and 18 KN spaced at distances 3 m, 2 m, 2 m and 3 m

respectively. If the load system is moving from left to right with 18 KN as leading

load, find the location & magnitude of absolute maximum BM in the girder.

8

Q.5 (a) ) A hollow circular column of length 6 m, external diameter 200 mm and internal

diameter 150 mm is fixed at both ends. If the column carries a load of 200 KN applied

at distance 40 mm from column axis, determine extreme fibre stresses. Also sketch

the stress distribution diagram. Take E for column material as 96 GPa.

10

(b) The cross section of a 5 m long simply supported beam is a T-section having

flange & web dimensions 120 mm x 20 mm and 20 mm x 180 mm respectively. The

beam carries a central point load of 36 KN inclined at angle300 (anti clockwise) with

vertical axis of cross section. Find maximum compressive and maximum tensile at the

critical section. Also draw the stress distribution diagram.

10

Q.6 (a) Draw ILD for axial force in top member DE of a warren truss shown in figure.

4

(b) A rod AB of uniform cross section is fixed at ‘A’ and is bent in vertical plane to

give the shape of quadrant of a circle of radius ‘R’. At free end B a horizontal load ‘P’

(rightwards) is applied. Determine-

i. Strain energy stored in the rod due to bending moment

ii. Horizontal deflection at B. Assume EI=Constant.

6


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Q. P. Code :25896

Page 4 of 4

(c) Determine horizontal deflection at joint ‘B’ in a rigid jointed plane frame loaded as

shown in figure. Take EI = 40,000 KNm2. Use Virtual work method.

10

*************************


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59997 Page 1 of 4

(3 Hours) (Max. Marks-80)

N.B.

1) Question no.1 is compulsory. Attempt any three out of remaining five questions.

2) Figures to the write indicate full marks.

3) Assume suitable data if needed but justify the same.

Q.1 Answer any four from following-

(a) Define the term Strain Energy and calculate its value for the cantilever beam

loaded as shown.

5

(b) Figures below show the Conjugate Beams. Draw the neat sketches for their

respective Real Beams.

5

(c) Draw the qualitative ILDs for VA , MA , VB and shear force just to the right of

hinge ‘C’ in the beam shown below-

5

(d) Define the terms- (i) Product of inertia (ii) Unsymmetrical bending and (iii)

Shear- centre.

5

(e) A suspension cable ACB of span 60 m with central deep 6 m is suspended

from two supporting points A and B which are at the same level. It carries UDL

of 15 KN/m over the entire span. Find the value of minimum cable tension. Also

find the percentage increase in cable tension at left quarter point ‘D’ and at the

supporting points.

5

(f) State and explain Castigliano’s theorem to find slope & deflection in a given

loaded structure. Also state the limitations of this theorem if any.

OR

State the salient features of Macaulay’s method.

5

Paper / Subject Code: 40403 / STRUCTURAL ANALYSIS I

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1T00624 - S.E.(CIVIL)(Sem IV)(Choice Based) / 40403 - STRUCTURAL ANALYSIS I

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59997 Page 2 of 4

Q.2 (a) For a rigid jointed plane frame shown in figure, find support reactions and

draw FBD for AB and BC. Also draw AFD, SFD and BMD for the frame,

indicating important points. Note that there is internal hinge at ‘B’.

10

b) A parabolic arch ACDB of span 30 m and central rise 4 m is hinged at its

ends and the third hinge is provided in the arch rib at right quarter point ‘D’.

It carries UDL of 12 KN/m in left half portion AC along with a point load

of 18 KN at hinge D. Find –

(i) Support reactions

(ii) NT and RSF at left quarter span point.

(iii)Maximum BM and its location in part AC.

Also draw BMD for the arch.

10

Q.3 (a) Using Moment Area Method OR Conjugate beam method, determine the slope

at supports A and B & deflection at point D and C .of an overhanging beam loaded

as shown.

12

b) A hollow circular column of length 6 m, external diameter 220 mm and internal

diameter 180 mm is fixed at both ends. If the column carries a load of 180 KN

applied at distance 50 mm from column axis, determine extreme fibre stresses.

Also sketch the stress distribution diagram. Take E for column material as 100

GPa.

8

Q.4 (a) A simply supported girder of span 40 m is traversed by a series of four wheel

loads 120 KN, 150 KN, 200 KN and 100 KN spaced at distances 2 m, 1 m and 1

m respectively. If the load system is moving from left to right with 100 KN as

leading load, find location & magnitude of maximum BM occurs anywhere in the

girder.

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59997 Page 3 of 4

Q4. b) Using Castigliano’s theorem or virtual work method, determine vertical

deflection of joint ‘B’ of a pin jointed truss loaded as shown in figure. Take AE=

Constant for all the members.

10

Q.5 (a) A 3-hinged stiffening girder of a suspension bridge of span 100 m is subjected

to a live load of length 22 m and intensity 30 KN/m moving from left to right.

Draw SFD and BMD for the girder, when the head of live load just touches the

central hinge on the girder.

12

(b) The cross section of a 4.5 m long simply supported beam is a T-section having

flange & web dimensions 200 mm x 20 mm and 16 mm x 180 mm respectively.

The beam carries a UDL of 10 KN/m over the entire span and it is acting along a

plane, inclined at angle 300 (clockwise) with vertical axis of cross section. Locate

the neutral axis of bending. Also find maximum stress produced at the critical

section.

8

Q.6 (a) Draw ILD for axial force in in truss members ED & DB as shown in figure.

The live load moves along the bottom chord.

4


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59997 Page 4 of 4

(b) Locate the shear centre for thin walled section as shown in figure. Assume the

uniform wall thicknesses as 10 mm. Cross sectional dimensions are in mm.

6

Q.6 A rigid jointed plane frame loaded as shown in figure. Using unit load method

determine-

(i) Rotation at hinge support ‘A’.

(ii) Horizontal movement of roller support at ‘D’.

Express your answer in terms of EI.

10


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59593

[Time: 3 Hours] [ Marks:80]

Please check whether you have got the right question paper.

N.B: 1. Q.1 is compulsory.

2. Attempt any three questions out of the remaining questions.

3. Assume suitable data if required.

4. Figures to the right indicate full marks.

Q.1 State the applications of the followings: 20

a) Total station

b) Electronic Theodolite

c) Remote sensing

d) GIS

Q.2 a) Explain with neat sketches 10

i) Composite curve

ii) Compound curve

iii) Reverse curve

iv) Vertical curve

b) Two tangents intersect at chainage 2032m having their deflection angle as 46030. Calculate all

the data necessary for setting out a simple circular curve of 250m radius by the offsets from

the chord produced method. Take P.I. = 20m.

10

Q.3 a) Two straights intersect at chainage 4540m with a deflection angle of 400. It is proposed to

connect a circular curve of 330m radius with transition curve 60m long at each end. Compute

the date necessary for setting out the combined curve having PI = 20m for circular curve and

10m for transition curve?

10

b) A gradient of -1.20% meets a gradient of +1.60% at a chainage of 1410m and elevation of

245.15m. A vertical curve of length 140m is to be set out with pegs at 10m interval. Calculate

the elevations of the pegs by chord gradient method.

10

Q.4 a) Write an exhaustive note checking the vertically of high rise structures. 10

b) Describe the Road Project in detail. 10

Q.5 a) State and explain the methods of determining azimuth. 10

b) Explain the procedure of aerial survey. 10

Q.6 Write notes on: 20

i) Soundings

ii) Site square

iii) Pentagraph

iv) Form 7 and Form 12 abstract

_____________________

Paper / Subject Code: 40402 / Surveying - II

4E7D7EB518DFF8AC17897B522221B8C2

1T00624 - S.E.(CIVIL)(Sem IV)(Choice Based) / 40402 - SURVEYING II

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Q.P.Code: 21775

(3 hours) [Total Marks-80]

Question No.1 is compulsory. Attempt any three out of remaining questions.

Assume any suitable data if required, state the same clearly.

Figures to the right indicate full marks.

Attempt sub questions in order.

1. Attempt any four from following:

a. Explain field procedure of determination of tacheometer constants. (05)

b. Write detailed note on Beaman’s Stadia arc. (05)

c. What is vertical curve? Sketch various types of vertical curves stating their application. (05)

d. Calculate the ordinate at 10m intervals for a circular curve if the length of long chord is

80m and radius of curve is 200m

(05)

e Write detailed note on application of GIS and remote sensing in the field of civil

engineering.

(05)

2 a. List various methods of setting out of horizontal curves. Explain setting out of curve by

two theodolite method.

(06)

b Explain procedure for calculating data and setting out of vertical curve by chord gradient

method.

(08)

c. A 20m chain is used to set out a simple circular curve. Two tangents intersect at

chainage 1192m, the deflection angle being 50o. Calculate the necessary data for setting

out of a curve of radius 280m using linear method of offsets from chords produced.

Take peg interval as 20m.

(06)

3 a. A tachemoeter fitted with annallactic lens is set up at an intermediate point on a traverse

course PQ & following observations are made on a vertically held staff:

Staff Station Staff

intercept

Vertical Angle Axial hair

Readings

Remarks

P 2.350 +8o 36’ 0” 2.105 R L of P

is 321.50m Q 2.055 +6O 6’ 0” 1.895

Find length PQ and RL of Q.

(10)

b. Explain how to calculate the R L of top of tower whose base is inaccessible, with one

plane method.

(05)

c. Derive an expression for calculating horizontal and vertical distance for line of sight

inclined and staff held vertical.

(05)

Paper / Subject Code: 38802 / SURVEYING-II

4E7D7EB518DFF8AC17897B52222712FA

1T00614 S.E.(CIVIL)(SEM IV)(CBSGS) / 38802 SURVEYING-II

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Q.P.Code: 21775

4 a. Calculate the data required for setting out composite curve. It is proposed to insert a

right hand 50m radius circular curve with a cubic parabola of 20m length at each end.

The chainage of intersection point is 80m, the deflection angle being 50o. The peg

interval for circular curve & transition curve is 5m. Tabulate the required data if LC of

instrument used is 20”.

(10)

b. Define reverse curve, its necessity and disadvantages of providing reverse curve. (05)

c. Write detailed note on errors in stadia surveying

(05)

5 a. A 8m wide road is to deflect through an angle of 60o with the centre line radius 300m,

the chainage of point of intersection being 3600m. A transition curve is to be used at

each end of the circular curve of such a length the rate of gain of radial acceleration is

0.5m/s3, when the speed is 50kmph. Find: (1) Length of transition curve. (2) chainages

of all the junction points.

(12)

b. Explain how surface survey is connected to underground survey and transfer of levels

while setting out a tunnel.

(08)

6 a. A 0.6% rising gradient meets - 0.7% down gradient. The chainage of and RL of

intersection points are 550m and 375m respectively. Calculate the RLs of the points on

the vertical curve using tangent correction method. The rate of change of grade is 0.1%

per peg. The peg interval is 20m. Tabulate the results.

(08)

b. Explain in detail how to carry out a route survey for a road connecting two states? (08)

c. Write short note on EDM, its principle and working. (04)

____________________

Paper / Subject Code: 38802 / SURVEYING-II

4E7D7EB518DFF8AC17897B52222712FA

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