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SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY
INDEX PAGE
SEMESTER IV
Sr. No Subject Name Subject Code
1 Engineering Economics & Management 2140003 2 Advanced Surveying 2140601 3 Structural Analysis-I 2140603 4 Numerical & Statistical Methods 2140606 5 Building & Town Planning 2140607 6 Concrete Technology 2140608
(Note: Assignment of “Engineering Economics & Management” will be provided by respective subject faculty.)
CIVIL ENGINEERING DEPARTMENT
ACADEMIC YEAR 2017-2018
SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY
SUBJECT: ADVANCED SURVEYING (2140601)
SEMESTER IV
ASSIGNMENTS
CIVIL ENGINEERING DEPARTMENT
ACADEMIC YEAR 2017-2018
Branch: Civil Semester: IV
Subject Name: Advanced Surveying Subject Code:2140601
Assignment No. 1 – Tachometric Survey
1. What is tachometry survey? Why tachometry survey is necessary to conduct? Give
its principle?
2. Differentiate between fixed hair method & movable hair method.
3. Explain the principle of stadia method & determine stadia contents.
4. Explain errors & precision in tachometry survey.
5. Compute the horizontal distance PA & R.L of point A for staff held vertically for
below observations taken by tacheometer. BM=100 m, K=100 & C=0
Inst. Station Staff Point Vertical Angle Staff Readings
P BM -60
1.360, 1.915, 2.470
A +50
1.065, 1.885, 2.705
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Activity/Task 1: Field project on Tachometry to be performed in groups.
A/Prof. Yamee Thakkar
Subject Co-ordinator
Lect. Anuj Bhatt
Subject Partner
Silver Oak College of Engineering & Technology Page 1
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester:IV
Subject Name: Advanced Surveying Subject Code:2140601
Assignment No. 2 – Geodetic Surveying
1. What do you understand by geodetic surveying? Why geodetic surveying is carried out?
2. Explain principle triangulation.
3. Give classification of triangulation system.
4. What is base line? Which points will you consider during the selection of base line?
5. Enlist various points which are required for selection of station.
6. Explain orders of triangulation along with various triangulation figures.
7. What are station marks & signals? Give classification of signals.
8. In a triangulation survey, the altitudes of two proposed stations A & B 85 km apart, are
respectively 132 and 212m. The intervening obstruction is situated at C, 60km from and has an
elevation of 142m. Ascertain if A and B are intervisible, and if necessary find by how much B
should be raised so that the line of sight must nowhere be less than 3m above the surface of the
ground. The earth’s mean radius may be taken as 3000km and coefficient of refraction as 0.07.
9. Explain extension of base with neat sketch. Prepare a flow chart explaining the same.
10. Define reduction to centre. Explain the procedure.
Activity/Task 2: Triangulation system model making.
********************************************************************************
A/Prof. Yamee Thakkar
Subject Co-ordinator
Lect. Anuj Bhatt
Subject Partner
Silver Oak College of Engineering & Technology Page 2
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Advanced Surveying Subject Code:2140601
Assignment No. 3 – Theory Of Errors
1. The following are the three angles observed at a station closing the horizon, along with
their probable errors of measurements. Determine their corrected values.
A= 85° 13' 10" ±2" , B= 130° 49' 30" ±3" ,C= 143° 57' 10" ±4".
2. Define: (i) True Error (ii) Most Probable error (iii) Residual error.
3. The observed values of an angle are given below :
Angle Weight
85° 40' 20" 2
85° 40' 18" 2
85° 40' 19" 3
Find a. probable error of single observation values of unit weight
b. probable error of weighted arithmetic mean
c. Probable error of single observation of weight 3.
4. Define weight of an observed quantity. Discuss various laws of weights.
5. Define accidental error, true value, direct observation, conditioned quantity, most probable value,
true error, normal equation.
6. Following readings of levels were carried out 2.335, 2.345, 2.350, 2.300,2.315, 2.305, 2.325
and 2.315. Calculate ,(i) Probable error for single observation (ii) Probable error for mean
7. Find the most probable value of the angle A from the following observation Equations.
(1)A = 30° 28’ 40” weight 2
(2)3A = 91° 25’ 55” weight 3
Silver Oak College of Engineering & Technology Page 3
Silver Oak College of Engineering & Technology
Civil Engineering Department
8. Explain the theory of least squares.
********************************************************************
A/Prof. Yamee Thakkar
Subject Co-ordinator
Lect. Anuj Bhatt Subject Partner
Silver Oak College of Engineering & Technology Page 4
Branch: Civil Semester: IV
Subject Name: Advanced Surveying Subject Code:2140601
Assignment No. 4: Field Astronomy
1. Explain following terms with the neat sketch: Vertical circle, observer meridian, altitude of
star, declination of star, hour angle, azimuth, nautical mile, ecliptic.
2. Define: (i)Azimuth (ii)Nadir (iii)Zenith (iv)Latitude (v) Longitude
3. Explain the following astronomical terms:
(i) The celestial sphere (ii) The hour angle (iii) The horizon and (iv) Declination also write uses
of field astronomy.
4. What is Azimuth? Explain various methods for determination of Azimuth of a survey line.
5. What is latitude of a place? Prove that the altitude of the pole is always equal to the latitude of the
observer’s position.
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A/Prof. Yamee Thakkar
Subject Co-ordinator
Lect. Anuj Bhatt
Subject Partner
Silver Oak College of Engineering & Technology Page 5
Silver Oak College of Engineering & Technology
Civil Engineering Department
Silver Oak College of Engineering & Technology
Civil Engineering Department Branch: Civil Semester: IV
Subject Name: Advanced Surveying Subject Code:2140601
Assignment No. 5: Aerial Photogrammetry
1. Explain the displacement and errors in aerial Photogrammetry. The scale of an aerial photography
is 1 cm = 100m. The photograph size is 20 cm x 20 cm. Determine the number of photographs
required to cover an area 10 km x 10 km, if the longitudinal lap is 60% and the side lap is 30% .
2. Explain scale of vertical photograph.
3. What is function of aerial camera? Describe schematically its essential parts.
4. What is meant by scale of vertical photograph? Determine scale of photograph for terrain lying at
elevation of 50 m and 200m if vertical photograph was taken at altitude of 1200 meters. Take focal
length of camera as 15 cm.
5. What is relief displacement? Derive an expression for the relief displacement in a
vertical photograph.
6. Write short note on (i) Stereoscope (ii) Parallax Bar
7. Define: (i)Tilt (ii)Isocentre (iii)Overlap (iv)Side lap (v) Crab (vi)Drift (vii)Principal point
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A/Prof. Yamee Thakkar
Subject Co-ordinator
Lect. Anuj Bhatt Subject Partner
Activity/Task 5: search for article on history and latest trends in
aerial photogrammetry from library.
Silver Oak College of Engineering & Technology Page 6
Branch: Civil Semester: IV
Subject Name: Advanced Surveying Subject Code:2140601
Assignment No. 6: Modern Surveying Instruments
1) Explain electromagnetic spectrum.
2) Enumerate different types of EDM instruments and describe briefly the salient features of
Total station.
3) What are the properties of electromagnetic waves? Draw complete electromagnetic spectrum
showing all wavelengths.
4) Describe how a total station has brought revolution in surveying.
5) Describe briefly the salient features of total station.
6) Classify the Electromagnetic distance measurement instruments depending upon the type
of carrier wave employed. Write a short note on Geodimeter.
Activity/Task 6: Collection of brochure of latest surveying instruments
And attaching the same in the assignment file.
***********************************************************************
A/Prof. Yamee Thakkar
Subject Co-ordinator
Lect. Anuj Bhatt
Subject Partner
Silver Oak College of Engineering & Technology Page 7
Silver Oak College of Engineering & Technology
Civil Engineering Department
SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY
SUBJECT: STRUCTURAL ANALYSIS-I (2140603)
SEMESTER IV
ASSIGNMENTS
CIVIL ENGINEERING DEPARTMENT
ACADEMIC YEAR 2017-2018
Silver Oak College of Engineering & Technology Page 1
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
1. Differentiate between statically determinate structures and statically indeterminate structure.
2. Describe Principle of Superposition and Maxwell’s Reciprocal Theorem.
3. Analyze the plane frame as shown in fig.no.-01. Draw shear force diagram, bending moment
diagram, and axial force diagram.
Fig. No-01
4. Draw the S.F and B.M diagram for the frame loaded as shown in the fig.no.-02
Assignment No. 1 – Fundamentals of Statically Determinate Structure
Silver Oak College of Engineering & Technology Page 2
Note [UDL=40kN/m for Roll No. 01, UDL=40+02=42kN/m for Roll No.02 and value of UDL
changes as per your Roll No. i.e. UDL= (40+R.N.) kN/m]
5. Find static and kinematic indeterminacy for the structures shown in fig.no.-03. Also comment
about stability.
Fig no-03
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Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 3
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
1. Find slope & deflection for the structure shown in fig.no.-04 below by Moment area method
Fig. No-04
2. Determine deflection at B, C and D for the cantilever beam loaded as shown in fig.no.-05 using
Macaulay’s method. Take E=2 x 105 N/mm2 & I = 2 x 108 mm4.
3. Find the slope and deflection at the free end B of a cantilever beam AB as shown in fig.no.-06 by moment area method. Take I= 2 x 108 mm4, E= 2 x 105 N/mm2
Note [AT FREE END CONCENTRATED/POINT LOAD (CL) =10kN for Roll No. 01,
CL=10+02=12kN for Roll No.02 and value of CL changes as per your Roll No. i.e. CL= (10+R.N.)
Assignment No. 2 (A) – Displacement of Determinate beams and plane truss
Silver Oak College of Engineering & Technology Page 4
4. Find the slope and deflection at the center C of a simply supported beam AB as shown in fig.no.-07 by moment area method. Take I= 2 x 108 mm4, E= 2 x 105 N/mm2.
Note [CONCENTRATED/POINT LOAD (CL) =05kN for Roll No. 01, CL=05+02=07kN for
Roll No.02 and value of CL changes as per your Roll No. i.e. CL= (05+R.N.) kN]
5. A simply supported beam of 3m span carries two point loads of 120 kN and 80 kN at a distance of
0.6m and 2 m from the left support. If for the beam I = 16 x 108 mm4 and E = 2.1 x 105
N/mm2, calculate the deflection under loads using Macaulay’s method. Refer fig.no.-08
Note [CONCENTRATED/POINT LOAD (CL) =80kN for Roll No. 01, CL=80+02=82kN for
Roll No.02 and value of CL changes as per your Roll No. i.e. CL= (80+R.N.) kN]
************************************************************************
Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 5
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
1. Find slope and deflection at point C for the beam shown in fig.no.-09 using Conjugate beam
method. Take EI = 20000 KN-m2.
2. For a beam as shown in fig.no.-10 calculate the slope at support C and deflection under point
load. Take E= 2 x 105 N/mm2, I= 5 x 108 mm4.
3. Calculate slope and deflection at point C for the beam as shown in fig.no.-11 using conjugate
beam method. Take EI = 32000 kN.m2.
Note [AT MID SPAN CONCENTRATED/POINT LOAD (CL) =30kN for Roll No. 01,
CL=30+02=32kN for Roll No.02 and value of CL changes as per your Roll No. i.e. CL=
(30+R.N.) kN]
Assignment No. 2 (B) – Displacement of Determinate beams and plane truss
Silver Oak College of Engineering & Technology Page 6
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Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 7
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
Assignment No. 3 – Direct and Bending Stress
Silver Oak College of Engineering & Technology Page 8
Silver Oak College of Engineering & Technology Page 9
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Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 10
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
Assignment No. 4 – Columns and Struts
Silver Oak College of Engineering & Technology Page 11
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Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 12
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
Assignment No. 5 – Arches, Cables and Suspension Bridges
Silver Oak College of Engineering & Technology Page 13
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Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 14
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
Assignment No. 6 – Thin Cylinder
Silver Oak College of Engineering & Technology Page 15
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Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 16
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
Assignment No. 7 – Fixed Beams and Consistent Deformation Method
Silver Oak College of Engineering & Technology Page 17
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Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 18
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: STRUCTURAL ANALYSIS-I Subject Code: 2140603
Assignment No. 8 – Strain Energy
Silver Oak College of Engineering & Technology Page 19
**************************************************************
Hasumati B. Patel Ajit Dixit
Subject Co-ordinator Subject Partner
Silver Oak College of Engineering & Technology Page 20
ACTIVITY BASED ASSIGNMENT
1. CRASH THE COLUMN
This activity involves making of a column using canvas and checking the strength by
applies axial load on it.
This will enhance the understanding of the students regarding the deflection and
slenderness ratio of any column.
The activity will be done in a group of 5 students in laboratory hours.
The practical application of this activity is that the students will come to know about
the long and short column, its failure envelope (crushing or buckling), use of
slenderness ratio and the use of end connections.
2. BEAM SAMARTHYA
This activity involves making of beams (cantilever, simply supported and fixed) using
candy sticks and comparing the slope and the deflection in the beams.
This will enhance the understanding of determinacy and indeterminacy of the beams
and also the idea of using indeterminate beam over determinate beam.
The activity will be done in a group of 5 students in laboratory hours.
The practical application of this activity involves understanding of various beams, its
slope and deflection and the practical applications of all such beams.
Silver Oak College of Engineering & Technology Page 1
Criteria: Before Mid-I Complete 2 Module Test and Before Mid-II Complete 3 out of 5 Module Tests
Silver Oak College of Engineering & Technology
Civil Engineering Department Branch: Civil Semester: IV
Subject Name: Structural Analysis-I Subject Code: 2140603
Week 1. A-1(Q.5), A-6(1,2,3)
Week 2. A-1(Q.3),A-6(4,5), A-7(Q.3)
Week 3. A- 1(Q.1,2,3 ), A-7( 5)
Week 4. A- 2(Q.2,5), A-4(1,2,3)
Week 5. A- 2(Q. 1,2,3), A-4( 4,5 )
Week 6. A- 3(Q. 3,4,5 ), A-8( 3,4 )
Week 7. A- 3(Q. 3,4,5 ), A-8( 3,4 )
Week 8. A- 5(Q. 1,2,3 )
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A/Prof. Hasumati B Patel A/Prof. Ajit Dixit Subject Co-ordinator Subject Partner
MODULE TEST QUESTION DISTRIBUTION
TUTORIALS
NUMERICAL AND STATISTICAL METHODS
(2140606)
Semester-IV
Branch-Civil
2018
Name: _______________________________ Enrolment No.:__________________________
COURSE CONTENT
Sr. No. Topics To Be Covered Weightage
1 Roots of Algebraic and Transcendental Equation 10
1.1 Bisection, false position
1.2 Secant methods
1.3 Newton –Rephson methods
1.4 Rate of Convergence
2 Numerical Integration 8
2.1 Newton-Cotes formula, Trapezoidal and Simpson’s formulae
2.2 Error formulae
2.3 Gaussian quadrature formulae
3 Finite Differences and interpolation- 15
3.1 Finite Differences
3.2 Forward, Backward differences
3.3 Central operators
3.4 Interpolation by polynomials
3.5 Newton’s forward, Backward interpolation
3.6 Gauss and Stirling’s central difference formulae
3.7 Newton’s divided formulae
3.8 Lagrange’s formulae for unequal intervals
4 Solution of a system of Linear Equations 7
4.1 Gauss elimination, Partial pivoting
4.2 Gauss-Jacobi
4.3 Gauss Seidel Method
5 Descriptive Statistics 8
5.1 Mean, median
5.2 Mode
5.3 Standard deviation, Skewness
6 Correlation and Regression 10
6.1 Bivariate distribution
6.2 Correlation coefficients, Regression lines
6.3 Formulas for Regression coefficients,
6.4 Rank correlation
7 Numerical solution of Ordinary Differential Equations 15
7.1 Basic concept
7.2 Taylor series method,
7.3 Continue Taylor series
7.4 Euler method
7.5 Runge – Kutta method
7.6 Milne’s predictor-corrector method
8 Probability 7
8.1 Definition of probability, Exhaustive events, Pair wise independent
events
8.2 Multiplicative law of probability, Conditional probability
8.3 Baye’s theorem
9 Probability Distributions 12
9.1 Random variable. Mathematical Expectation
9.2 Standard deviation
9.3 Binomial
9.4 Poisson and normal distributions
9.5 Mean median, mode
10 Curve Fitting 8
10.1 Fitting of linear Quadratic, Exponential and logarithmic
10.2 Least squares method
Text Book:
Dr. R.C. Shah, Numerical and statistical methods for civil engineering, BOOKS INDIA
PUBLICATIONS
Reference Books:
1. S.C. Gupta and V.K. kapoor,Fundamental of mathematical Statistics (11th Edition) sultan
Chand and Sons.
2. Jphnson Richard A Miller and-ProbabilityFreund’sandStatistics (8th Edition) PHI.
3. Geraldo C.F. and Wheatley P.O.Applied Numerical Analysis (2nd Edition ), Addison-
wesley.1981
4. E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999).
5. S. D. Conte and Carl de Boor, Elementary Numerical Analysis- An Algorithmic Approach (3rd
Edition), McGraw-Hill, 1980
6. C. E. Froberg, Introduction to Numerical Analysis (2nd Edition), Addison-Wesley, 1981
Mid-Semester Exam- 1 Starts from 27 / 01 / 2018
Mid Semester Exam-1 Syllabus Unit: 1 to 4
Mid-Semester Exam-2 Starts from 7/ 04 / 2017
Mid-Semester Exam-2 Syllabus Unit 5 to 9
TUTORIAL 1- ROOTS OF ALGEBRAIC AND TRANSCENDENTAL
EQUATIONS
Sr.
No. Questions Answer Year
1. Find a real root of the following equation using mentioned method.
1. BISECTION METHOD
a. 𝑥 − 𝑐𝑜𝑠𝑥 = 0 correct up to 3 decimal places . 0.738 2014
b. 𝑥3 − 5𝑥 + 3 = 0 correct up to 4 decimal places. 0.6566 2015
c. 𝑥3 − 7𝑥 + 3 = 0 correct up to 4 decimal places. -2.838
2. FALSE POSITION METHOD
a. Explain False position method for finding the root of the equation 𝑓(𝑥) = 0.Use this method to find the root of an equation 𝑥 = 𝑒−𝑥 correct up to three decimal places.
0.567 2015
b. Find a positive root of 𝑥3 − 4𝑥 + 1 = 0correct up to 3
decimal places. 0.254 2015
3. NEWTON RAPHSON’S METHOD
a. 𝑥4 − 𝑥 − 9 = 0 correct to three decimal places. 1.813 2016
b. Find Iterative formula for
i. 𝑞𝑡ℎroot
ii. Reciprocal of a positive number N using N-R method and
iii. Compute:
1. √113
2.2240 2015
2. √28 5.291 2015
3. √583
3.8709 2015
4. √123
2.2894 2016
4. SECANT METHOD
a. 𝑓(𝑥) = 𝑥 − 2𝑠𝑖𝑛𝑥 = 0 using 𝑥0 = 2, 𝑥1 = 1.9 1.8955 2014
b. 𝑥𝑒𝑥 − 1 = 0 between 0and 1 0.5671 2016
c. 2𝑥3 − 3𝑥2 + 5𝑥 − 6 = 0(0.5 ≤ 𝑥 ≤ 1.5)(correct up to e
points)
ASSIGENMENT 1- ROOTS OF ALGEBRAIC AND TRANSCENDENTAL
EQUATIONS
Sr.
No. Questions Answer Year
1. Explain Bisection method for solving 𝑓(𝑥) = 0. Find the real root of equation
𝑥2 − 4𝑥 − 10 = 0 using this method correct to three decimal places.
2 Find the real root of the equation 𝑥𝑙𝑜𝑔10𝑥 = 1.2by Regula-Falsi method
correct to four decimal places.
2.740 2015
3 Find an approximate value of the root of the equation𝑥3 + 𝑥 − 1 = 0 using
this method of False position.
0.682 2013
4 Use secant method to find root of the equation 𝑐𝑜𝑠𝑥 − 𝑥𝑒𝑥 = 0 up to four
decimal places.
Or
Use secant method to find root of the equation 𝑐𝑜𝑠𝑥 = 𝑥𝑒𝑥 up to four
decimal places.
0.517 2016
5 Discuss the rate of convergence of Newton Raphson’s method.
6 Find the √10 correct to three decimal places by using Newton-Raphson
iterative method.
3.1623 2015
7 Find the √7 correct to three decimal places by using Newton-Raphson
iterative method.
2.6457 Dec
2013
8 Find an Iterative formula to find √𝑁and hence find
1. √5
2. √27
3. √65
4. √3
2013
2013
2014
2014
2.2361
5.1962
8.0623
1.7321
SHORT QUESTIONS
Sr.
No.
Questions Answer Year
1. Can you apply False position method to obtain the root of
the equation𝑓(𝑥) = 𝑥𝑒𝑥 − 2 = 0 in the interval(0,0.5)?
Justify your answer.
No, intermediate value
theorem is not satisfied.
2016
2. Write at least two differences between Secant method and
False position method.
2015
3. Which method is also known as method of tangent? Write
down the iterative formula for it.
NR method
𝑥𝑛+1 = 𝑥𝑛 −𝑓(𝑥𝑛)
𝑓′(𝑥𝑛);
𝑛 = 0,1, …
2015
4. Find the approximate root of the equation 𝑓(𝑥) = 𝑥3 +𝑥 = 0 after the first iteration of NR method with initial
guess 𝑥0 = 1.
0.5 2016
5. What is convergent rate of Bisection method and NR
method?
Bisection method has linear
convergent and NR has
Quadratic convergent
2016
6. Define accuracy and precision. 2016
7. If 𝑎 = 0.8461538461 is approximately by 0.84615, then
find percentage relative error.
0.00045453% 2016
8. The error cause by truncating an infinite series to a finite
number of terms is called __________ and the error
associated with chopping and rounding is
called_________.
Truncation error
&
Rounding off error
2016
TUTORIAL 2- NUMERICAL INTEGRATION
Sr.
No. Questions Answer Year
1. Estimate the following definite integrals using the trapezoidal rule with
eight, ten, six respectively
a. ∫ 𝑐𝑜𝑠𝑡𝑑𝑡4
0
b. ∫ 𝑒−𝑥2𝑑𝑥
1
0
c. ∫ (𝑡2 + 1)3
2𝑑𝑡6
−2
a. -
0.7408
5 b. 0.7462
11
c. 378.17
3
2012
2010
2011
2. Evaluate using Simpson’s 1
3 rule.
a. ∫ (𝑥2 + 1)3
2𝑑𝑥1
0 using four strips
b. ∫𝑠𝑖𝑛2𝑡
𝑡𝑑𝑡
1.6
1 using six strips
c. ∫ 𝑥𝑒−𝑥2𝑑𝑥
0.4
−2𝑛 = 2𝑚 = 4
a. 1.5673 b. 0.2459
6 c. -
0.4189
2
2012
3. Evaluate ∫𝑑𝑥
1+𝑥
3
0 with 𝑛 = 6 by using Simpson’s
3
8 rule and hence
calculate 𝑙𝑜𝑔2. Estimate the bound of error involved in the process.
𝑙𝑜𝑔2 = 0.6944
UB: 1.4451
LB: 1.3325
2011
2014
4. Given the data below, find the isothermal work done on the gas as it is
compressed from 𝑉1 = 22to 𝑉2 = 2𝐿. Use 𝑤 = − ∫ 𝑃𝑑𝑉.𝑉2
𝑉1 Use
Trapezoidal rule.
X 2 7 12 17 22
Y 12.20 3.49 2.04 1.44 1.11
68.17 2012
5. a. Evaluate∫ 𝑙𝑜𝑔𝑒𝑥𝑑𝑥5.2
4 by trapezoidal rule using h=0.2
b.State Simpson’s 3
8 rule and evaluate∫
𝑑𝑥
1+𝑥2 𝑑𝑥1
0using ℎ =
1
6.
a 1.82780 b 0.78536
2011
6. Evaluate the integral ∫ (1 + 𝑥2)
3
26
−2𝑑𝑥 by the Gaussian formula for 𝑛 =
3. 358.693 2012
7. Consider following tabular values. Determine the area bounded by the
given curve and 𝑋 −axix between 𝑥 = 25 to 𝑥 = 25.6 by Trapezoidal
rule and Weddle’s rule.
X 25.0 25.1 25.2 25.3 25.4 25.5 25.6
Y 3.205 3.217 3.232 3.245 3.256 3.268 3.280
1.946
2012
8. A river is 80 meters wide. The depth ′𝑑′ in meter at a distance 𝑥 meter
from one bank is given by the following table calculate th area of cross
section of the river using Simpson’s 1
3 rule
X 0 10 20 30 40 50 60 70 80
d 0 4 7 9 12 15 14 8 3
710 sq.mt 2010
9. Evaluate ∫ 𝑒−𝑥2𝑑𝑥
1
0 by the Gauss integration formula with 𝑛 = 3.
0.746815 2010
10. The speed,𝑣 meter per second, of a car, 𝑡 second after it starts, is shown
in the following table.
1.22256 2010
Using
Simpson’s 1
3
rule, find the
distance travelled by the care in 2 minutes.
𝑇 0 12 24 36 48 60 72 84 96 108 120
𝑣 0 3.6 10.08 18.90 21.60 18.54 10.26 4.50 4.50 5.40 9.0
ASSIGENMENT 2- NUMERICAL INTEGRATION
Sr.
No. Questions Answer Year
1. Consider the following values. Find ∫ 10𝑦 𝑑𝑥 by Simpson’s 1
3 rule
and Weddle’s rule
X 10 11 12 13 14 15 16
Y 1.02 .094 0.89 0.79 0.71 0.62 0.55
4.713 2012
2. Write the trapezoidal rule for numerical integration. Using Simpson’s 1
3 rule evaluate ∫ 𝑓(𝑥)
2.5
1𝑑𝑥 from the following data. Take ℎ = 0.3
X 1 1.3 1.6 1.9 2.2 2.5
Y 1 1.69 2.56 3.61 4.84 6.25
4.7466 2012
3. Evaluate ∫𝑑𝑡
1+𝑡
1
0by the Gaussian formula with one point, two point
and three points.
i. 0.6667
j. 0.6923
k. 0.6931
2011
4. Evaluate ∫ (𝑠𝑖𝑛𝑥 − 𝑙𝑜𝑔𝑥 + 𝑒𝑥)𝑑𝑥1.4
0.2with ℎ = 0.2 by Simpson’s
1
3
and 3
8rule.
2016
5. Write the Simpson 1
3 rule for numerical integration. Using Simpson’s
1
3 rule evaluate ∫ 𝑓(𝑥)
6
0𝑑𝑥 from the following data. Take ℎ = 1
X 0 1 2 3 4 5 6
Y 1 0.5 0.3333 0.25 0.2 0.1666 0.1428
1.95853
Dec
2013
6. Evaluate ∫𝑑𝑥
1+𝑥
6
0 by using
a. Trapezoidal rule
b. Simpson’s 1
3 rule taking ℎ = 1.
1.9588
June
2014
2011
7. Derive Trapezoidal rule and evaluate ∫ 𝑒𝑥21.3
0.5𝑑𝑥 by using
Simpson’s 1
3rule.
2015
8. Evaluate ∫𝑒𝑥
1+𝑥
6
0𝑑𝑥 by using Simpson’s
3
8rule with ℎ = 1.
2016
9. Calculate
a. ∫ 2𝑒𝑥𝑑𝑥1
0 with 𝑛 = 10 using the trapezoidal rule.
b. ∫ 𝑒𝑥𝑑𝑥1
0 with 𝑛 = 10 using the trapezoidal rule
3.4394
1.7197
2014
2011
10. Evaluate ∫ 𝑒−𝑥2𝑑𝑥
0.6
0 by using Simpson’s
1
3rule,with 𝑛 = 6. 0.5351 2015
SHORT QUESTIONS
Sr.
No.
Questions Answer Year
1. Write appropriate Simpson’s integration formula to solve the integration
∫ 𝑓(𝑥)1.8
0𝑑𝑥 dividing into 9 equal parts.
Simpson’s 3
8
2016
2. What is approximate value of the ∫ 𝑓(𝑥)2
0𝑑𝑥 using trapezoidal rule with
ℎ = 1 where 𝑓(1) = 2, 𝑓(2) = 4. 3 2016
TUTORIAL 3- FINITE DIFFERENCES AND INTERPOLATION
Sr.
No. Questions Answer Year
1. Using Newton’s forward formula, find the value of 𝑓(1.6) if
𝑥 1 1.4 1.8 2.2
𝑓(𝑥) 3.49 4.82 5.96 6.5
5.4393 June
2011
2. Determine the polynomial by Newton’s forward difference formula
from the following table.
𝑥 0 1 2 3 4 5
𝑦 -10 -8 -8 -4 10 40
𝑥3 − 4𝑥2 + 5𝑥− 10
June
2012
3. Use Newton’s difference method to find the approximate value of
𝑓(1.3) from the following data
𝑥 1 2 3 4
𝑓(𝑥) 1.1 4.2 9.3 16.4
1.82 June
2013
4. Use Newton’s forward difference method to find the approximate
value of 𝑓(2.3) from the following data
𝑥 2 4 6 8
𝑓(𝑥) 4.2 8.2 12.2 16.2
4.8 Dec
2013
5. Using Newton’s forward interpolation formula, find the value of
𝑓(218), if
𝑥 100 150 200 250 300 350 400
𝑓(𝑥) 10.63 13.03 15.04 16.81 18.42 19.90 21.27
15.6993 June
2014
6. Write 𝑓(𝑥) = 𝑥4 − 2𝑥3 + 𝑥2 − 2𝑥 + 1 is factorial notation and find
∆4𝑓(𝑥) 24
June
2012
7. Determine the interpolating polynomial of degree 3 by using
Lagrange’s interpolation for the following data. Also find 𝑓(2)
𝑥 -1 0 1 3
𝑓(𝑥) 2 1 0 -1
-0.75 2013
2015
8. Using Lagrange’s formula find the form of the function 𝑓(𝑥) given
that
𝑥 0 2 3 6
𝑓(𝑥) 659 705 729 804
2016
9. Employ Stirling’s formula to calculate 𝑦(35)from the following table.
𝑥 20 30 40 50
𝑓(𝑥) 512 439 346 243
394.6875 June
2011
10. Compute 𝑐𝑜𝑠ℎ(0.56) from the following table and estimate the error.
𝑥 0.5 0.6 0.7 0.8
𝑐𝑜𝑠ℎ𝑥 1.127626 1.185465 1.255169 1.337435
𝑥 =0.56y=1.1609442
June
2010
ASSIGENMENT 3- FINITE DIFFERENCES AND INTERPOLATION
Sr.
No. Questions Answer Year
1. Determine the interpolating polynomial of degree three using
Lagrange’s interpolation for the table below
𝑥 -1 0 1 3
𝑓(𝑥) 2 1 0 -1
1
24(𝑥3 − 25𝑥
+ 24)
June
2010
2. Compute 𝑓(9.2) from the following values using Newton’s divided
difference formula.
𝑥 8 9 9.5 11.0
𝑓(𝑥) 2.079442 2.197225 2.251292 2.397895
2.219208
June
2010
3. Evaluate 𝑓(9), using Lagrange’s interpolation and Newton’s divided
difference from the following data
𝑥 5 7 11 13 17
𝑓(𝑥) 150 392 1492 2366 5202
810
June
2014
4. Using Lagrange’s formula to fit a polynomial to the data and hence
find 𝑦(𝑥 = 0.2)
𝑥 -1 0 2 3
𝑦(𝑥) 8 3 1 12
𝑥 = 2𝑦 = 1
Dec
2011
5. Explain Quadratic Lagrange interpolation. Compute 𝑓(9.2) by using
Lagrange interpolation method from the following data
𝑥 9 9.5 11
𝑓(𝑥) 2.1972 2.2513 2.3979
2.2192
June
2013
6. Write the usual notation, show that
(1)∆= 1 − 𝑒ℎ𝐷 (2)(1 + ∆)(1 − 𝛻) = 1
Hint:
𝐸 = 1 + ∆
𝛻 = 1 − 𝐸
7. Let 𝑓(40) = 836, 𝑓(50) = 682, 𝑓(60) = 436, 𝑓(70) = 272. Use
Stirling’s formula to find 𝑓(55). 565.0625
Hint: 50, ℎ = 10, 𝑝 = 0.5
June
2012
8. By using Lagrange’s formula, find 𝑦 when 𝑥 = 10
𝑥 5 6 9 11
𝑦 12 13 14 16
14.6667 2015
9. Compute values of 𝑓(0.12) and𝑓(0.40) using suitable interpolation
formula for the following data :
𝑥 0.10 0.15 0.20 0.25 0.30
𝑓(𝑥) 0.1003 0.1511 0.2027 0.2553 0.3093
2015
SHORT QUESTIONS Sr.
No.
Questions Answer Year
1. State at least two
differences between
Newton’s divided
difference and
Newton’s forward
interpolation
formula.
Newton’s Divided
Difference
Newton’s Forward Interpolation
It is used for both equal and
unequal spaced arguments.
It is used only for equally
spaced arguments.
It is applicable for the middle
of the tabulated values of 𝑥𝑖.
It is applicable for the beginning
of the tabulated values of 𝑥𝑖
when 𝑥𝑖’s are increasing order.
2016
TUTORIAL 4- SOLUTION OF A SYSTEM OF LINEAR EQUATIONS
Sr.
No. Questions Answer Year
1. Solve the following system of equations using partial pivoting by Gauss
elimination Method. 8𝑥2 + 2𝑥3 = −7,3𝑥1 + 5𝑥2 + 2𝑥3 = 8,6𝑥1 + 2𝑥2 +8𝑥3 = 26
4, −1,1
2
June
2011
2014
2010
2. Solve the following linear system of equations by Gauss-Seidel
1. 1. 10𝑥1 + 𝑥2 + 𝑥3 = 12,2𝑥1 + 10𝑥2 + 𝑥3 = 13, 2. 2𝑥1 + 2𝑥2 + 10𝑥3 = 14 3.
4. 2. 2𝑥 − 𝑦 = 3, 𝑥 + 2𝑦 + 𝑧 = 3, −𝑥 + 𝑧 = 3
𝑥1 = 𝑥2 = 𝑥3
= 1
𝑥 = 1, 𝑦 = −1,
𝑧 = 4
Nov,
Dec
2010
June
2013
3. Solve:𝑥 + 𝑦 + 𝑧 = 9,2𝑥 − 3𝑦 + 4𝑧 = 13,3𝑥 + 4𝑦 + 5𝑧 = 40 by Gauss
elimination method.
𝑥 = 1, 𝑦 = 3, 𝑧= 5
June 2011
4. Solve the following system of equation using Gauss Elimination method
with partial Pivoting.
𝑥1 + 2𝑥2 + 3𝑥3 = 10,6𝑥1 + 5𝑥2 + 2𝑥3 = 30, 𝑥1 + 3𝑥2 + 𝑥3 = 10.
May 2016
5. Solve:3𝑥 + 𝑦 − 𝑧 = 3,2𝑥 − 8𝑦 + 𝑧 = −5, 𝑥 − 2𝑦 + 9𝑧 = 8 by Gauss
elimination method. Dec
2016
6. Solve following system of equation using Gauss-Seidel method correct up
to two decimal places
a) 20𝑥 + 2𝑦 + 𝑧 = 30, 𝑥 − 40𝑦 + 3𝑧 = −75, 2𝑥 − 𝑦 + 10𝑧 = 30
b) 8𝑥 + 𝑦 + 𝑧 = 5, 𝑥 + 8𝑦 + 𝑧 = 5, 𝑥 + 𝑦 + 8𝑧 = 5
𝑥 = 1.13, 𝑦 = 2.12, 𝑧 = 2.98 𝑥 = 0.5, 𝑦 = 0.5, 𝑧 = 0.5
June 2011 Dec
2013
7. Solve the following linear system of equations by Gauss-Seidel method :
10𝑥 − 𝑦 − 𝑧 = 13, 𝑥 + 10𝑦 + 𝑧 = 36, 𝑥 + 𝑦 − 10𝑧 = −35
May 2016
ASSIGENMENT 4- SOLUTION OF A SYSTEM OF LINEAR EQUATIONS
Sr.
No. Questions Answer Year
1. Solve , by Gauss-Seidel iteration method ,the equations
20𝑥 + 𝑦– 2𝑧 = 17 3𝑥 + 20𝑦– 𝑧 = −18 2𝑥– 3𝑦 + 20𝑧 = 25
2. Solve the following system of equations by Gauss-Seidel
Method correct up to three decimal places
2𝑥 + 𝑦 + 54𝑧 = 110,27𝑥 + 6𝑦 − 𝑧 = 85,6𝑥 + 15𝑦 + 2𝑧= 72
𝑥 = 2.4255, 𝑦= 3.5730, 𝑧 = 1.9260
Nov, Dec
2011
3. Solve the following system of equation using Gauss
Elimination method with partial Pivoting.
𝑥 + 𝑦 + 𝑧 = 7,3𝑥 + 3𝑦 + 4𝑧 = 24,2𝑥 + 𝑦 + 3𝑧 = 16
𝑥 = 3, 𝑦 = 1, 𝑧 = 3 Dec 2011
4. Solve the following system of equations by Gauss-Seidel
Method correct up to three decimal places
6𝑥 + 𝑦 + 𝑧 = 105,4𝑥 + 8𝑦 + 3𝑧 = 155,5𝑥 + 4𝑦 − 10𝑧 =16
𝑥 = 15, 𝑦 = 10, 𝑧 = 5 June 2015
5. Solve the following system of equations by Gauss-Seidel
Method correct up to three decimal places
2𝑥 + 𝑦 + 6𝑧 = 9,8𝑥 + 3𝑦 + 2𝑧 = 13, 𝑥 + 5𝑦 + 𝑧 = 7
𝑥 = 1, 𝑦 = 1, 𝑧 = 1 Dec. 2015
6. Solve the following system of equation using Gauss
Elimination method with partial Pivoting.
2𝑥1 + 2𝑥2 + 𝑥3 = 6,4𝑥1 + 2𝑥2 + 3𝑥3 = 4, 𝑥1 + 𝑥2 + 𝑥3 =0.
X1=5,x2=1,x3=-6 Dec. 2015
SHORT QUESTIONS
Sr.
No.
Questions Answer Year
1. In the Gauss Elimination method for solving the system of linear
equations name the matrix which is obtained after triangularization.
Upper Triangular
matrix
2016
2. Check whether the following system is diagonally dominant or not
justify your answer.
10𝑥 − 4𝑦 + 𝑧 = 7, 𝑥 + 5𝑦 − 2𝑧 = 5,8𝑥 − 4𝑦 − 3𝑧 = 6
Not diagonally
dominate
2016
3. Employ partial pivoting to the following system of the equations
4𝑥 + 2𝑦 − 𝑧 = −2,5𝑥 + 𝑦 + 2𝑧 = 4,6𝑥 + 𝑦 + 𝑧 = 6
6𝑥 + 𝑦 + 𝑧= 64𝑥 + 2𝑦 − 𝑧= −2
5𝑥 + 𝑦 + 2𝑧 = 4
2016
TUTORIAL 5- DISCRIPTIVE STATISTICS
Sr.
No. Questions Answer Year
1. Find the mean of -1.5, 0, 1, 0.8. 0.075
2. Calculate the arithmetic mean by short-cut method for the following
data
𝑥 0 1 2 3 4 5 6 7 8 9 10
𝑓 2 8 43 133 207 260 213 120 54 9 1
5.0114
3. Calculate the average marks of the students by standard deviation
method from the following data
Marks 0-10 10-20 20-30 30-40 40-50 50-60
No. of Students 40 41 55 30 21 16
24.95
4. For the following data, find mean
Class 10-19 20-29 30-39 40-49 50-59
Frequency 1 1 15 10 20
44.5
5. Find standard deviation for the following data
𝑋 5 10 15 20 25
𝐹 7 4 6 3 5
10.1
6. Find the standard deviation for 48, 65, 57, 31, 60, 37, 48, 59, 78. 13.26
7. Calculate the Mean, Median and mode for the following data:
Class
interval
50-53 53-56 56-59 59-62 62-65
Frequency 3 8 14 30 36
Class
interval
65-68 68-71 71-74 74-77
Frequency 28 16 10 5
63.82,63.29, 65.75
Dec.
2015
ASSIGENMENT 5- DISCRIPTIVE STATISTICS
Sr.
No. Questions Answer Year
1. Find the arithmetic mean from following frequency distribution
𝑥 5 6 7 8 9 10 11 12 13 14
𝑓 25 45 90 165 112 96 81 26 18 12
8.83
2. Daily earning (in Rs) of employees working on a daily basis in a firm are
Earning in
Rs
100 120 140 160 180 200 220
No. of
Employees
3 6 10 15 24 42 75
Calculate the mean of daily earnings.
194.51
3. The mean marks scored by 100 students were found to be 40. Later on it
was discovered that a score of 53 was misread as 83. Find the correct mean. 39.7
SHORT QUESTIONS
Sr.
No.
Questions Answer Year
1. Define mode and also give the relation between mean, median and
mode.
Mode=3median-
2mean 2016
2. Find the arithmetic mean of the following frequency distribution
𝑥 1 2 3 4
𝑓 4 5 2 1
2
2016
3. What is the mode of the following frequency distribution
𝑥 1 2 3 4
𝑓 4 7 10 8
3
2016
4. Find the median of the following distribution
Mid-
values
1500 2500 3500 4500 5500 6500 7500
Frequency 27 32 65 78 58 32 8
4333.33
5. Find the mode of the following frequency distribution
𝑥 10 11 12 13 14 15 16 17 18 19
𝑓 8 15 20 100 98 95 90 75 50 30
14.82
6. Find the standard deviation for the following data
Class
interval
0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 6 14 10 8 1 3 8
19.62
7. Two automatic filling machines A and B are used to fill a mixture of
cement concrete in a beam. A random sample of beams of each machine
showed the following information
Machine_A 32 28 47 63 71 39 10 60 96 14
Machine_B 19 31 48 53 67 90 10 62 40 80
Find standard deviation of each machine and also comment on the
performance of the two machines.
𝜎𝐴
= 25.495𝜎𝐵
= 24.429
2015
8. Calculate Karl Person’s coefficient of skewness from the following data
Wages(Rs) 10-
15
15-
20
20-
25
25-
30
30-
35
35-
40
40-
45
45-
50
No. of
Workers
8 16 30 45 62 32 15 6
-0.223
TUTORIAL 6- CORRELATION AND REGRESSION
Sr.
No. Questions Answer Year
1.
Find the correlation coefficient from the following data
𝑋 1 2 3 4 5 6 7
𝑌 6 8 11 9 12 10 14
0.845
2. Calculate the coefficient of correlation and obtain the lines of
regression for the following :
𝑋 1 2 3 4 5 6 7 8 9
𝑌 9 8 10 12 11 13 14 16 15
2015
3. Obtain the line of regression of monthly sales (Y) on advertisement
Expenditure (x) and estimate the monthly sales when the company
will spendRs.50,000 on advertisement, if the data on Y and X are as
follows :
𝑌(𝑙𝑎𝑐) 74 76 60 68 79 70 71 94
𝑋(𝑡ℎ𝑜𝑢𝑠𝑎𝑛𝑑) 43 44 36 38 47 40 41 54
2016
4. The following data give the experience of machine operators and
their performance rating as given by the number of good parts
turned out per 100 pieces.
Operator 1 2 3 4 5 6
Performance
rating (x)
23 43 53 63 73 83
Experience(y) 5 6 7 8 9 10
Calculate the regression line of performance rating on experience
and also estimate the probable performance if an operator has 11
years of experience.
96.3315 2015
ASSIGENMENT 6- CORRELATION AND REGRESSION
Sr.
No. Questions Answer Year
1. Calculate the coefficient of correlation from the following date:
𝑋 12 9 8 10 11 13 7
𝑌 14 8 6 9 11 12 3
0.949
2. Calculate the coefficient between the following data:
𝑥 5 9 13 17 21
𝑦 12 20 25 33 35
0.986
3. Define Regression.
4. Define Line Regression.
5. Define Rank Correlation.
SHORT QUESTIONS
Sr.
No.
Questions Answer Year
1. If the value of the coefficient of correlation is negative then
what does it signify about the relation of two variables?
Two variables are
inversely proportional to
each other. 2016
2. Which is the point of intersection of the regression line of 𝑦 on
𝑥 and regression line of 𝑥 on 𝑦. At (�́�, �́�) 2016
TUTORIAL 7- NUMERICAL SOLUTION OF ORDINARY
DIFFERENTIAL EQUATIONS
Sr.
No. Questions Answer Year
1. Solve 𝑑𝑦
𝑑𝑥= 3 + 2𝑥𝑦 where 𝑦(0) = 1 for 𝑥 = 0.1 by Picard’s
method. 1.31665
2.
Use Taylor’s series method to solve
𝑑𝑦
𝑑𝑥= 𝑥2𝑦 − 1, 𝑦(0) = 1. Also
find 𝑦(0.03). 0.970009
3. Using Taylor series method, find correct to four decimal places, the
value of 𝑦(0.1), given 𝑑𝑦
𝑑𝑥= 𝑥2 + 𝑦2and 𝑦(0) = 1.
1.1114
4. Use the Euler method to find 𝑦(1.4) given that
𝑑𝑦
𝑑𝑥= 𝑥𝑦
1
2, 𝑦(0) =
1.(Take ℎ = 0.1) 𝑦4 = 1.4986
5. Describe Euler’s method for first order ordinary differential equation.
6. Using improved Euler’s method, solve 𝑑𝑦
𝑑𝑥= 2𝑥𝑦 = 0 with the initial
condition 𝑦(0) = 1 and compute 𝑦(0.2) taking ℎ = 0.2. Compare
the answer with exact solution.
0.5034
7. Explain the Euler’s method to find Numerical solution 𝑑𝑦
𝑑𝑥=
𝑓(𝑥, 𝑦), 𝑦(𝑥0) = 𝑦0.
8. Using improved Euler’s method, solve 𝑑𝑦
𝑑𝑥= 1 − 𝑦 with the initial
condition 𝑦(0) = 0 and tabulate the solutions at 𝑥 = 0.1,0.2. Compare the answer with exact solution.
𝑦(0.1)= 0.09516𝑦(0.2)= 0.18126
ASSIGENMENT 7- NUMERICAL SOLUTION OF ORDINARY
DIFFERENTIAL EQUATIONS
Sr.
No. Questions Answer Year
1. Use Runge-Kutta second order method to find the approximate
value of 𝑦(0.2) given that 𝑑𝑦
𝑑𝑥= 𝑥 − 𝑦2, 𝑦(0) = 1 and ℎ = 0.1. 0.8523
Nov,
Dec
2010
2. Apply Runge-Kutta fourth order method, to find an approximate
value of 𝑦 when 𝑥 = 0.2 in steps of 0.1if 𝑑𝑦
𝑑𝑥= 𝑥 + 𝑦2, given that
𝑦 = 1, 𝑥 = 0.2.
June
2014
3. Given that 𝑦 = 1.3 when 𝑥 = 1and 𝑑𝑦
𝑑𝑥= 3𝑥 + 𝑦. Use second order
Runge-Kutta method (i.e. Heun method) to approximate when 𝑥 =1.2 Use step size 0.1.
2.3134 Dec
2012
4. Apply Runge-Kutta method of fourth order to calculate 𝑦(0.2)
given 𝑑𝑦
𝑑𝑥= 𝑥 + 𝑦, 𝑦(0) = 1taking ℎ = 0.1. 1.242
June
2010
June
2011
5. Solve the differential equation 𝑑𝑦
𝑑𝑥= 𝑥 + 𝑦, with fourth order
Runge-Kutta method, where
i. 𝑦(0) = 1, 𝑥 = 0to𝑥 = 0.2with ℎ = 0.1.
ii. Y(0)=0 and ℎ = 2.
0.489
June
2010
June
2011
June
2013
6. Use the Euler method to find 𝑦(0.2) given that 𝑑𝑦
𝑑𝑥= 𝑦 −
2𝑥
𝑦, 𝑦(0) = 1.(Take ℎ = 0.1)
1.1918 June
2011
SHORT QUESTIONS
Sr.
No.
Questions Answer Year
1. Determine 𝑓(𝑥, 𝑦) for solving the following differential
equation by Euler’s method3𝑑𝑦
𝑑𝑥+ 5𝑦2 = 𝑠𝑖𝑛𝑥; 𝑦(0) = 5.
𝑓(𝑥, 𝑦) =1
3(𝑠𝑖𝑛𝑥
− 5𝑦2)
2016
TUTORIAL 8- PROBABILITY
Sr.
No. Questions Answer Year
1. Eight boys and three girls are to sit in a row for a photograph. Find
the probability that no two girls are together.
28
55
2. A person is known to hit a target in 2 out of 4 shots, whereas
another person B is known to heat the same target in 1 out of 3
shots. Find the probability of the target being hit at all when they
both try.
2
3
May-
2015
3. An urn contains 10 red, 5 white and 5 blue balls. Two balls are
drawn at random. Find the probability that they are not of same
color.
25
38
4. In a certain assembly Plant, three machines 𝐵1, 𝐵2 ∧ 𝐵3 produce
30%, 45% ∧ 25% of the products, respectively. It is known from
the past experience that 2%, 3% ∧ 2% of the product made by each
machine, respectively, are defective. Supposed that a finished
product is randomly selected. What is the probability that it is
defective?
0.0245 May-
2016
5. A bag A contains 2 white and 3 red balls, and a bag B contains 4
white and 5 red balls. One ball is drawn at random from one of the
bags and it is found to be red. Find the probability that the red ball
is drawn from the bag B.
25
52
ASSIGENMENT 8- PROBABILITY
Sr.
No. Questions Answer Year
1. An unbiased coin tossed 3 times, what is the probability of obtaining
two heads ?
3
8
May-
2016
2. A card drawn at random from a pack of 52 cards. Find the probability
of getting a king or a heart or a red card.
7
3
3. Two students X and Y work independently on a problem. The
probability that X will solve it is 3/4 and the probability that the Y will
solve it is 2/3. What is the probability the problem will be solved?
11
12
Winter-
2015
4. A company has two plants to manufacture hydraulic machines. Plant I
manufactures 70% of the hydraulic machines, and plant II
manufactures 30%. At plant I, 80% of hydraulic machines are rated
standard quality, And plant II, 90% of hydraulic machines are rated
standard quality. A machine is picked up at random and is found to be
standard quality. What is the chance that it has come from Plant I ?
0.6747 May-
2015
5. State Baye’s theorem. In a bolt factory, machines A,B,C manufactures
25%,35% and 40% of the total output and of the total manufacturing ,
5%,4% and 2% are defective bolts. A bolt is drawn at random from the
product and is found to be defective. What are the probabilities that it
was manufactured by machines A,B and C ?
By A, 0.3623
By B,
0.4058
By C,
0.2319
Winter-
2015
TUTORIAL 9- PROBABILITY DISTRIBUTIONS
Sr.
No. Questions Answer Year
1. A machine produces an average of 500 items during the first week
of the month and average of 400 items during the last week of the
month, the probability for these being 0.68 and 0.32 respectively.
Determine the expected value of the production.
468 May-
2015
2. In a large number of parts manufactured by a machine, the mean
number of defective in a sample of 20 is 2. Out of 1000 such
samples, how many would be expected to contain exactly two
defective parts?
≈ 285 May-
2015
3. The compressive strength of samples of cement can be modelled by
a binomial distribution with a mean 6000 𝑘𝑔 𝑐𝑚2⁄ and a standard
deviation of 100 𝑘𝑔 𝑐𝑚2⁄ .
(a) What is the probability that the sample’s strength is less
than 6250 𝑘𝑔 𝑐𝑚2⁄ ?
(b) What is the probability, if sample strength is between
5800and 5900 𝑘𝑔 𝑐𝑚2⁄ ?
(c) What strength is exceeded by 95% of the samples ?
0.99379
0.13591
6165
May-
2016
4. What are the properties of Binomial Distribution? The average
percentage of failure in a certain examination is 40. What is the
probability that out of 6 candidate, at least 4 passed in examination?
0.1792 Winter-
2015
5. A book contains 100 misprints distributed randomly throughout its
100 pages. What is the probability that a page observed at random
contains at least two misprints? Assume Poisson distribution.
Winter-
2015
6. A multiple choice test consists of 8 questions with 3 answers to each
question (of which only one answer is correct). A student answers
each questions by rolling a balanced dice and checking the first
answer if he gets 1 or 2, the second answer if he gets 3 or 4 and the
third answer if he gets 5 or 6. To get distinction, the student must
secure at least 75% correct answers. If there is no negative marking,
what is the probability that the student secure a distinction?
0.0197 May-
2015
ASSIGENMENT 9- PROBABILITY DISTRIBUTIONS
Sr.
No. Questions Answer Year
1. The probability distribution of a random variable X is given
below
X -2 -1 0 1 2
P(x) 1/12 1/3 k 1/4 1/6
Find (1)𝐸(𝑥) (2) 𝐸(2𝑥 + 3) (3) 𝐸(𝑥2 + 2)
(1) 1
12
(2) 19
6
(3) 43
12
2. Six coins are tossed 6400 times. Using the Poisson distribution,
what is the approximate probability of getting six heads 10
times? 1.025 × 10−30
3. Find the value of k such that f(x) is a probability density
function. Find also, 𝑃(𝑋 ≤ 1.5).
1
2,1
2
4. The mean and variance of a binomial distribution are 4 and 4/3
respectively. Find 𝑃(𝑋 ≥ 1). 0.9986
5. A manufacturer knows from his experience that the resistances
of resistors he produces is normal with 𝜇 = 100𝑜ℎ𝑚𝑠and 𝑆𝐷 =𝜎 = 2𝑜ℎ𝑚𝑠. What percentage of resistors will have resistances
between 98𝑜ℎ𝑚𝑠and 102𝑜ℎ𝑚𝑠.
0.6826
TUTORIAL 10- CURVE FITTING
Sr.
No. Questions Answer Year
1. Define a curve fitting -
May-
2016
2. Fit a second degree polynomial using least square method to the
following data:
𝑥 0 1 2 3 4
𝑦 1 1.8 1.3 2.5 6.3
𝑦= 1.42− 1.07𝑥+ 0.55𝑥2
May-
2015
3. Fit the exponential curve 𝑦 = 𝑒𝑏𝑥 to the following data:
𝑥 0 2 4 6 8
𝑦 150 63 28 12 5.6
𝑦 = 146.28
𝑒−0.4117𝑥
May-
2015
4. Fit a second degree parabola 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐 in the least square
sense for the following data:
𝑥 1 2 3 4 5
𝑦 10 12 13 16 19
Winter-
2015
5. A simply supported beam carries a concentrated load P(lb) at its
mid-point. Corresponding to different values of P, the maximum
deflection Y(in) is measured. The data is given below:
P 100 120 140 160 180 200
Y 0.45 0.55 0.60 0.70 0.80 0.85
Find a law of the form Y=a+bP using the least square method.
𝑌= 0.0476+ 0.0041𝑃
May-
2015
ASSIGENMENT 10- CURVE FITTING
Sr.
No. Questions Answer Year
1. Fit a straight line to the following data. Also estimate the value of y
at x=2.5
𝑥 0 1 2 3 4
𝑦 1 1.8 3.3 4.5 6.3
4.045
2. Fit a curve of the form 𝑦 = 𝑎𝑏𝑥 to the following data by the
method of least square.
𝑥 1 2 3 4 5 6 7
𝑦 87 97 113 129 202 195 193
𝑦 = 73.744 (1.1688)𝑥
3. Fit a straight line to the following data:
𝑥 1 2 3 4 5
𝑦 1 2 3 4 5
𝑦 = 1.6 + 1.2𝑥
4. Fit a curve of the form 𝑦 = 𝑎𝑥𝑏 to the following data:
𝑥 1 2 3 4
𝑦 2.5 8 19 50
𝑦 = 2.227𝑥2.09
SHORT QUESTIONS
Sr. No. Questions Answer Year
1. Define curve fitting. 2016
********************************************
SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY
SUBJECT: BUILDING & TOWN PLANNING (2140607)
SEMESTER IV
ASSIGNMENTS
CIVIL ENGINEERING DEPARTMENT
ACADEMIC YEAR 2017-2018
Silver Oak College of Engineering & Technology Page1
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: 4
Subject Name: Building and Town Planning Subject Code: 2140607
1. Explain the principle of planning in detail with figures.
2. Explain the principle of architecture in detail with figures.
3.. Explain the objective and scope of building bye laws.
4. Classify the type of buildings in detail based on use of building.
5. Explain the various components of building with help of neat sketch.
6. Explain the various type of buildings in general.
7. Short notes on :
1. Set – back.
2. Light Plane.
3. FSI (Floor Space Index).
4. Site Plan.
5. Layout Plan.
6. National Building Code (NBC)
8. Define the following terms.
1. Plinth Area.
2. Carpet Area
3. Floor Area
4. Built Up Area
5. Building Line
6. Basement / Cellar.
A/Prof. Viranchi Shah A/Prof. Ninaad Athalye
A/Prof. Mrunalini Rana
Subject Co-ordinator Subject Partner
Assignment No. 1: Introduction to buildings and building bye laws.
Silver Oak College of Engineering & Technology Page2
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: 4
Subject Name: Building and Town Planning Subject Code: 2140607
1. Explain behavior of structures during earthquake and possible mode and pattern of
failure.
2. Explain briefly the guideline for design of non-engineered earthquake resistant brick
masonry structures.
3.. Explain the below terms in planning of earthquake resistant buildings.
1. Dimensions of building.
2. Symmetry
3. Simplicity.
4. Connectivity.
5. Separations
6. Regularity.
4. Define the following terms.
1. Picture Plane.
2. Eye level.
3. Centre of vision.
4. Ground Line.
5. Cone of vision.
6. Station point.
7. Vanishing point and line.
8. Ground Plane.
5. Differentiate one point, two point and three point perspectives with neat sketch.
A/Prof. Viranchi Shah A/Prof. Ninaad Athalye
A/Prof. Mrunalini Rana
Subject Co-ordinator Subject Partner
Assignment No. 2: Planning of Earthquake resistant building.
Elements of perspective views.
Silver Oak College of Engineering & Technology Page3
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: 4
Subject Name: Building and Town Planning Subject Code: 2140607
1. Explain town planning.
2. Explain the different names used for town planning at different periods in India in detail.
3. Write Short Notes on :
1. Origin of towns and growth of towns.
2. Ribbon Development.
3. Satellite town.
4. What do you mean by “civic surveys”? What is necessity of civic surveys for town
planning purpose?
5. Describe various types of surveys to be conducted for town planning scheme.
6. Differentiate between functional land territorial surveys.
7. Explain aims and objectives of town planning.
8. Explain fundamental principles of town planning.
9. Define “land use”. Explain its types and principles.
A/Prof. Viranchi Shah A/Prof. Ninaad Athalye
A/Prof. Mrunalini Rana
Subject Co-ordinator Subject Partner
Assignment No. 3: Town Planning History and Civic Surveys.
Land use planning.
Silver Oak College of Engineering & Technology Page4
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: 4
Subject Name: Building and Town Planning Subject Code: 2140607
1. Explain the main elements of town planning.
2. Explain the principle of architecture in detail with figures.
3.. Discuss urban road system in city planning.
4. Define slums and give causes and effects of slums.
5. Give remedial measures for avoiding slum formation.
6. Write a short note on slum clearance.
7. Short notes on ( definition, importance, objects, principles and aspects) :
1. Zoning.
2. Neighborhood planning.
3. Master plan / development plan.
4. Characteristics of CBD.
8 Discuss four basic pillars of smart city with chart.
9 Explain the concept of smart city.
A/Prof. Viranchi Shah A/Prof. Ninaad Athalye
A/Prof. Mrunalini Rana
Subject Co-ordinator Subject Partner
Assignment No. 4: Zones, Neighbourhood planning, slums, smart city.
Silver Oak College of Engineering & Technology Page5
Activity/Task 1:
a) Prerequisite – Collect brochure of any residential building.
b) Drawing Sheet 1: Residential Building Planning.
c) Two Storeyed Load Bearing Building. – Plans, Elevations, Sections ,
layout plans , key plan , site plan , area table, schedule of opening and
scale ( 1:100)
d) Drawing Sheet – A1 size.
Activity/Task 2:
Visit to Earthquake Laboratory in our Campus-‘A’ Building Ground Floor
Sheet 2: Public Building. : Ground floor plan, elevation, section plan, key plan,
layout, site plan, area table, schedule of opening.
d) A1, B1, C1 – post office/bank.
e) A2, B2, C2 – hospital / shopping centre.
f) A3, B3, C3 – School / guest house.
Activity/Task 3:
Visit to Earthquake Laboratory.
Sheet 3: Furniture Plan, sanitation layout, electrical layout.
a) A1, B1, C1 – case study of historical town planning in India.
b) A2, B2, C2 – case study of any slum area in Gujarat or India.
c) A3, B3, C3 – case study of any smart city in world.
Activity/Task 4:
Drawing Sheet 4: Perspective Drawing.
Two point perspective of a building
Neighbourhood centre planning design.
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: 4
Subject Name: Building and Town Planning Subject Code: 2140607
A/Prof. Viranchi Shah A/Prof. Ninaad Athalye
A/Prof. Mrunalini Rana
Subject Co-ordinator Subject Partner
ACTIVITIES/ DRAWING SHEETS
Silver Oak College of Engineering & Technology Page6
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: 4
Subject Name: Building and Town Planning Subject Code: 2140607
1. Small sketch book, one graph book, tracing paper, compass box.
Reference Books.
1. Planning and Building Design by Y.S. Sane.
2. Town Planning by G.K. Hiraskar.
3. National Building Code (2005) , New Delhi.
4. General Development Control Regulations published by AUDA.
5. Town Planning by S.C. Rangwala.
6. Architecture,Form , Space and order by Francis D.K. Ching.
A/Prof. Viranchi Shah A/Prof. Ninaad Athalye
A/Prof. Mrunalini Rana
Subject Co-ordinator Subject Partner
Common Instructions and Reference Books.
SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY
SUBJECT: CONCRETE TECHNOLOGY (2140608)
SEMESTER IV
ASSIGNMENTS
CIVIL ENGINEERING DEPARTMENT
ACADEMIC YEAR 2017-2018
Silver Oak College of Engineering & Technology Page 1
Activity/Task 1: Visit to J. K. Laxmi Plant and prepare the
small plan in sketchbook.
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Concrete Technology Subject Code:2140608
1) Draw a Diagram or flowchart or in a tabular form of historical Background of cement and
concrete using any source. Write down the reference books, links if used. (Dec’11, June’12)
2) Compared to other materials, what are the advantages of using concrete for structures?
3) Explain dry process and wet process for manufacturing of cement. Recently Which process we
are using? Justify. (Mar’10, Dec’10, May’12, Jan,13, Dec’14, Nov’17)
4) Distinguish between Entrapped air and Entrained air. (Dec’14)
*************************************************************************
Lect. Reecha Panchal Lect. Harsh Rathod
Subject Co-ordinator Subject Partner
Assignment No. 1 –Introduction of Concrete
Silver Oak College of Engineering & Technology Page 2
Activity/Task 2: Make a chart of classification of aggregate
with photographs in sketch-book.
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Concrete Technology Subject Code:2140608
1) Give the Bogue’s compound for cement and explain their role in hydration process. (Dec’09,
Dec’11, May’11, May’12, Jan’13, Nov’16, June’16) OR Describe briefly the chemical
composition, major compounds formed and hydration of cement. (June’17) OR State the major
Compounds of OPC and importance of them. (Nov’17)
2) Define: Heat of Hydration and give the difference between setting and hardening of cement.
(Dec’11,May’14,Nov’17, Nov’16)
3) State any four different types of cement and explain any two in brief. (Nov’17) or Enlist different
types of cement. Explain in brief any two in detail. (Dec’09, May’11,June’17)
4) Define Initial and Final setting time of cement. Describe the test for determining initial and final
setting time of cement. Give IS requirements for setting time for OPC.(Mar’10, Dec’11,
May’14,Nov’17, Nov’16)
5) Which apparatus can be used for soundness test? Explain it in brief. (Dec’10, Dec’11, Jan’13)
6) Explain importance of grading of aggregates. (Nov’17. Nov’16) AND Write short note on
Bulking of sand. (Nov’17, Nov’16) OR Explain bulking of aggregate. (March’10, May’12,
June’16)
7) Enlist the tests for the determination of strength of aggregate. Explain any one in detail. (Dec’11,
May’12, Dec’14)
8) Define: (i) Fineness Modulus and write down its range for different size aggregates. (ii) Flakiness
Index and (iii) Elongation Index (iv) Gap grading. (Mar’10, Dec’11,Dec’14)
9) Explain the qualities of water required for production of concrete. (Dec’11, Jan’13, June’17) OR
Describe the importance of the quality of water used for concrete. (June’16)
10) Define admixture and state purpose of adding admixtures in concrete. (Nov’17) Write a short note
any one admixture in detail. (Dec’11, Jan’13, May’14, Dec’14)
********************************************************************************
Lect. Reecha Panchal Lect. Harsh Rathod
Subject Co-ordinator Subject Partner
Assignment No. 2 – Concrete Making Materials.
Silver Oak College of Engineering & Technology Page 3
Activity/Task 3: Visit any construction site. Take selfie or your photograph with slump while the workability (Slump test) is carried
out on site.
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Concrete Technology Subject Code:2140608
1) What is workability? List the factors affecting the workability of concrete and explain any three
out of them. ( March’10, Dec’10, May’11, Dec’10, Nov’16, June’17, Nov’17)
2) Explain Segregation and bleeding of concrete in detail. (June’17, Nov’17, June’16) OR Explain
the segregation and bleeding effect on concrete. (June’17, June’16) OR Define segregation and
bleeding of concrete. Explain the factors affecting it. (Dec’09, Dec’10, May’11, Jan’13,
May’14, Dec’14, Nov’16)
3) Recently which type of batching is used in RMC plant? Explain in brief. (May’12, June’15)
4) List out the methods of compaction and explain any one method in detail.
5) Write the requirements of curing. State the different methods of curing with one in detail.
(Dec’11, May’12)
********************************************************************
Lect. Reecha Panchal Lect. Harsh Rathod
Subject Co-ordinator Subject Partner
Assignment No. 3 – Fresh Concrete
Silver Oak College of Engineering & Technology Page 4
Activity/Task 4: Read test of Compression test from IS: 456
and take important points for cylinder and cube moulds.
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Concrete Technology Subject Code:2140608
1) Give the difference between hardened concrete and fresh concrete. (June’17)
2) State factors affecting Compressive strength of concrete and explain any four in detail. (Nov’17,
June’17, Nov’16) or Explain Water–Cement ratio. (June’17) or Explain the effect of water
cement ratio on the strength of concrete? Explain Mechanism. (Dec’09, May’11, June’16)
3) Define Shrinkage. Explain Plastic shrinkage. (Nov’17) or what is shrinkage? Give the
classification of shrinkage. (June’16)
4) Define Creep. Explain factors affecting creep of concrete. (May’12, Jan’13,Nov’17)
************************************************************************
Lect. Reecha Panchal Lect. Harsh Rathod
Subject Co-ordinator Subject Partner
Assignment No. 4: Hardened Concrete
Silver Oak College of Engineering & Technology Page 5
Activity/Task 5: collect exposure conditions in different
weather conditions of different cities of India.
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Concrete Technology Subject Code:2140608
1) Define Durability. Explain its significance. (Nov’17, Nov’16) OR What is durability of concrete?
Enlist factors affecting durability of concrete. Explain any one in detail. (June’16) Explain
breakeven analysis, giving example. Discuss various aspect of durability of concrete. What
measures are taken by IS code to ensure durable structure? (Dec’09, Dec’10, May’11,
Dec’11,June’17)
2) What are the factors that affect permeability of concrete? (Nov’16 , June’17) OR Explain the
factors affecting Permeability. (Nov’16) OR What is permeability of concrete? Enlist factors
affecting permeability of concrete. Explain any one in detail. (Dec’09, May’14, Dec’14, June’16)
3) Explain Sulphate Attack and chloride attack on concrete. (March’10, March’11, Nov’16,
Nov’17) or Explain mechanism of Sulphate Attack on concrete. (May’11, Dec’14, June’16)
4) Explain alkali-aggregate reaction. What are the factors promoting it and how it can be controlled?
(May’11, Dec’10, Dec’11, Dec’14, May’15)
************************************************************************
Lect. Reecha Panchal Lect. Harsh Rathod
Subject Co-ordinator Subject Partner
Assignment No. 5: Durability and Permeability of Concrete
Silver Oak College of Engineering & Technology Page 6
Activity/Task 6: (a) Visit any RMC Plant in January Month and collect
the data which are required for mix design (b) Design concrete mix with
cement and fly ash as a cementatious material
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Concrete Technology Subject Code:2140608
1) Explain principle of mix design. Explain parameters and factors influencing mix design.
(Nov’17, June’16) OR Which factors are affecting the choice of mix design. (June’17) OR List
factors affecting the choice of mix design. (March’10, Dec’11, May’11, May’12,Nov’16)
2) Define nominal mix concrete and design mix concrete. Describe step by step procedure of IS
method of mix design. (Dec’11, Nov’17, Nov’16) OR Write the steps of mix design using IS
10262. (June’17) OR Explain Indian Standard Mix design method as per IS: 10262:2009 with its
salient features. (Jan’13, June’16)
3) Give advantages of Quality control. (Nov’17) or Explain quality control of concrete and factors
affecting it. (June’17, Nov’16)
4) Define: (i) Mean (ii) Variance (iii) Range (Nov’17, June’17, and Nov’16). Mention acceptance
criteria for mix design and variation of test results. (May’11)
***********************************************************************
Lect. Reecha Panchal Lect. Harsh Rathod
Subject Co-ordinator Subject Partner
Assignment No. 6: Concrete Mix Design
Silver Oak College of Engineering & Technology Page 7
Activity/Task 7: Prepare a presentation of special concrete and
special concreting methods for a topic which are given to the
students
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Concrete Technology Subject Code:2140608
1) Which are the basic requirements or property of the Self Compacting concrete? Enlist various
tests for measurement of each property. (June’16)
2) Write short note on cold weather concreting. (Nov’16) OR Explain the effect of cold weather on
concrete. (May’11, June’16)
3) Explain the effect of hot weather on concrete. (March’10, May’11, Dec’14, May’14)
4) Enlist various methods of concreting under water and explain ‘Tremie method’. (Dec’09, Jan’13,
Dec’14, June’17, Nov’16)
5) Write short note on ready mix concrete and Polymer concrete. (Mar’10, Dec’11, Jan’13,
June’17)
6) How fly ash concrete gain strength in later age? Explain Mechanism. (June’16) AND also Enlist
factors affecting properties of fibre reinforced concrete. (Dec’11, May’12,Nov’16, Nov’17,
June’16)
************************************************************************
Lect. Reecha Panchal Lect. Harsh Rathod
Subject Co-ordinator Subject Partner
Assignment No. 7: Special Concrete and Concreting Method
Silver Oak College of Engineering & Technology Page 8
Activity/Task 8: Take a photograph of a crack in any structure.
Find out the crack type, causes, effects and solution.
Silver Oak College of Engineering & Technology
Civil Engineering Department
Branch: Civil Semester: IV
Subject Name: Concrete Technology Subject Code: 2140608.
1) Explain ultrasonic pulse velocity test for hardened concrete. (June’17) OR Explain ultrasonic
pulse velocity test. (Nov’16) OR Give the factors affecting the measurement of Ultrasonic pulse
velocity test. (May’10, Dec’14,June’16)
2) Differentiate between destructive and non- destructive tests. Give the Limitation of Rebound
hammer test. (Dec’10, Dec’11, May’12, May’14)
************************************************************************
Lect. Reecha Panchal Lect. Harsh Rathod
Subject Co-ordinator Subject Partner
Assignment No. 8: Miscellaneous Topics
top related