Note : Eight questions are to be asked. The candidates are required to attempt any five.
The student can use only Non-programmable & Non-storage type calculator.
PURPOSE
The subject of Engineering Graphics and Drafting is aimed at developing in the engineering graduates competencies of reading, sketching and preparing drawings.
INSTRUCIONAL OBJECTICVES Students should be able to do:
1. Demonstrate skills in free hand sketching.
2. Understand standards relating to line work, dimensioning, lettering, symbols and conventions as per Indian Standards.
3. Demonstrate skills in line work, dimensioning, lettering, symbols and conventions.
4. Demonstrate skills in making orthographic projections, intersection of solids and development of surfaces.
CONTENTS
1. Drawing Techniques (6 hrs. Practice) : Various types of lines, principles of dimensioning, size and location of dimensions, symbols, conventions scales (plane and diagonal) and lettering as per IS Code SP-46 of practice for general engineering drawings.
− Practice of drawing various types of lines and dimensioning exercises.
− Drawing exercises pertaining to symbols, conventions.
− Exercise on lettering techniques: Free hand printing and numerals in 3,5,8 and 12 mm sizes vertical and inclined at 75°; instrumental lettering in single stroke.
2. Projection of Points, Lines and Planes (9 hrs. Practice) : First angle and third angle projections, concept of horizontal and vertical planes, Projection of points and lines, True length, Horizontal and vertical traces, Projection of Planes, Traces of Planes, Auxiliary planes.
− Practice exercises on projection of points, lines and planes.
3. Projection and Sectioning of Solids (15 hrs. Practice) : Projection of solids such as Prisms, Pyramids, Cylinders, Cones, Spheres, Auxiliary View.
Principles of sectioning, types of sectioning, section lines, cutting plane lines.
− Practice on sectioning of solids.
4. Isometric Projection (6 hrs. Practice) : Exercises on isometric views.
5. Orthographic Projections (9 hrs. Practice) : Orthographic views, Missing views.
− Exercises on identification of missing views.
− Practice on orthographic projections.
6. Practice of free hand sketching of different types of objects. (3 hrs.)
7. Intersection and Development of Surfaces (12 hrs. Practice) : Intersection of cylinders, cones and Prisms, Axis of solids being vertical or horizontal. Development of surfaces of truncated cylinders, cones and prisms.
− Exercises on intersection of solids - cylinder and cylinder, cylinder and cone, prism and prism, prism and cone, sphere with cylinder.
− Exercises involving development of surfaces (Y-Piece, Hopper, Tray and truncated pieces).
8. Fasteners (6 hrs. Practice) : Introduction to temporary and permanent fasteners, rivetted and welded joints, types of screw threads, conventional symbols for internal and external threads.
− Exercises involving drawing of bolts, nuts, studs and locking devices.
9. Symbols and Conventions (3 hrs. Practice) : Symbols and conventions pertaining to relevant engineering disciplines.
10. Practice in using AatoCAD or similar graphic package for preparing simple drawings.
(21 hrs. Practice).
INSTRUCTIONAL APPROACH
Drawing involves conceptual understanding which can be facilitated, if students are given lot of practice on each of the topics. Lecture work is limited to explaining basic concepts and principles. Teachers are expected to plan the exercises to be given to students ans check conceptual understanding on the part of students. Some exercises involving missing views, lines, reading and interpreting finished drawings will help in developing the desired graphic skills in students.
STUDENT EVALUATION
Continuous assessment of student’s performance will carry a weightage of 66 percent.
Practice exercises for the various topics covered in the subject will be assessed for a total of 50 marks. Corrective feedback need to be provided to student in order to develop the desired competencies.
End semester examination will be a written test carrying a weightage of 25 percent.
Questions need to set in a manner as to cover all the graphic skills included in the curriculum.
RECOMMENDED BOOKS
1. Engineering Drawing by PS Gill, SK Kataria and sons, Ludhiana.
2. Engineering Drawing by NK Bhatt.
3. Engineering and Teaching Drawing bt Earl D. Black.
4. Text Book of Engineering Drawing by RK Dhawan, S. Chand and Company Ltd.
CC-203 MATHEMATICS-II
L T P
3 1 -
Time : 3 Hours Max. Marks : External : 60
Internal : 40 Note : Eight questions are to be asked. The candidates are required to attempt any five.
The student can use only Non-programmable & Non-storage type calculator.
PURPOSE
To enable students to develop understanding of mathematical concepts and principles and enable them to apply these to solve real life problems encountered in the profession.
INSTRUCTIONAL OBJECTIVES The students will be able to :
1. Interpret scientific facts and phenomena to arrive at quantitative relationship between various physical variables;
2. Solve technical problems by using mathematical tools logically;
3. Analyse, interpret and draw conclusions from the given data;
4. Make calculations involving design, consideration of safety factors, interpreting phenomena and arrive at conclusions.
CONTENTS
1. Matrices : Linear dependence, rank of a matrix, Linear transformations and inverse of a matrix. Reduction to normal form. Consistency and solution of homogenous and non-homogenous system of algebraic equations. Orthogonal, Unitary and Hermition matrices. Similar matrices. Reduction to diagonal form. Caley-Hamiliton theorem.
Bilinear and quadratic forms. Eigen - values and eigen - vectors.
2. Vector Calculus : Review of vector algebra. Differentiation of vectors. Space curves, velocity and acceleration. Scalar and vector fields, vector differential operators ‘Del’, gradient, divergence, curl and their physical interpretations. Formulae involving ‘del’
applied to product of point functions. Line, surface and volume integrals. Flux, solenoidal and irrational, vectors. Theorem of Green’s, Stoke’s and Gauss’s.
applications to electromagnetism and fluid mechanics.
3. Ordinary Differential Equations : Solution of First order differential equation by variables separation, homogenous differential equation, exact differential equation, linear differential equation and their applications. Second order linear differential equation with constant coefficients; Applications to Beams, electric circuits and vibration. Simultaneous differential equation and applications.
4. Statistical Methods : Binomial, Poisson and Normal distributions(without proof) and applications. Sampling Methods, Hypothesis Testing using Normal Binomial t x2 and F distribution (using)
INSTRUCTIONAL APPROACH
For each topic, its need to learn is to be established by taking practical examples which are to be solved by using this topic. This will motivate students to learn.
Explain all concepts with the help of examples. Solve many examples.
Students themselves should solve many examples in tutorial class under the guidance of the teacher for which graded problems are to be provided to the students.
Practical problems drawn from various engineering disciplines are to be explained/solved by the teacher and similar examples are to be solved by the students.
STUDENT EVALUATION
Continuous assessment of student’s performance will carry a weightage of 50 percent and the end semester examination, a weightage of 50 percent.
Continuous assessment of student’s performance aimed at facilitating their learning the subject will be based on the following components of assessment:
i) Home Assignment (Minimum six assignments) 30
ii) Class Tests (Minimum two) 20
End semester examination will be a three hours written test covering the total contents.
Number of questions and the weightage assigned to each topic will be as per the table of specifications framed by the University. Guidelines for setting the paper will be issued be the University. Some of the important guidelines will be (a) the paper will have one objective type question covering the entire course. (b) there will be no external choice. (c) Choice, if need to be given should be internal.
RECOMMENDED BOOKS
1. Probability and Statistics for Engineers and Scientists by Walpole and Myres; The Macmillan Company, London.
2. Advanced Engineering Mathematics by CR Wylie and LC Barrett; Wiley Eastern Ltd.
3. Applied Mathematics for Engineers and Physicists by Louis A Pipes; McGraw Hill Book Company.
4. Mathematics of Physics and Modern Engineering by Sokolnikoff; McGraw Hill Book Company.
5. Engineering Mathematics by Kreyszig; Wiley Eastern Ltd.
6. Higher Engineering Mathematics by BS Grewal; Khanna Publisher, New Delhi.
7. Vector Calculus by Shanti Narayan; S. Chand and Co., Delhi.
8. Matrices by Shanti Narayan; S. Chand and Co., Delhi.
9. Probability and Statistics with Reliability by KS Trivedi, Prentice Hall.
10. Engineering Mathematics Vol. II by SS. Sastry, P.H.I