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Syllabus
BCE&M
Basic Civil Engineering & Mechanics (Syllabus)
Unit I Building Materials & Construction
Stones, bricks, cement, lime, timber-types, properties, test & uses, laboratory tests concrete
and mortar Materials: Workability, Strength properties of Concrete, Nominal proportion of
Concrete preparation of concrete, compaction, curing.
Elements of Building Construction, Foundations conventional spread footings, RCC footings,
brick masonry walls, plastering and pointing, floors, roofs, Doors, windows, lintels, staircases
– types and their suitability
Unit II Surveying & Positioning:
Introduction to surveying Instruments – levels, thedolites, plane tables and related devices.
Electronic surveying instruments etc. Measurement of distances – conventional and EDM
methods, measurement of directions by different methods, measurement of elevations by
different methods. Reciprocal leveling.
Unit III Mapping & sensing:
Mapping details and contouring, Profile Cross sectioning and measurement of areas,
volumes, application of measurements in quantity computations, Survey stations, Introduction
of remote sensing and its applications.
Engineering Mechanics
Unit IV
Forces and Equilibrium: Graphical and Analytical Treatment of Concurrent and non-
concurrent Co- planner forces, free Diagram, Force Diagram and Bow’s notations, Application of Equilibrium Concepts: Analysis of plane Trusses: Method of joints, Method of Sections.
Frictional force in equilibrium problems
Unit – V
Centre of Gravity and moment of Inertia: Centroid and Centre of Gravity, Moment Inertia of
Area and Mass, Radius of Gyration, Introduction to product of Inertia and Principle Axes.
Support Reactions, Shear force and bending moment Diagram for Cantilever & simply
supported beam with concentrated, distributed load and Couple.
Reference Books:
1. S. Ramamrutam & R.Narayanan; Basic Civil Engineering, Dhanpat Rai Pub.
2. Prasad I.B., Applied Mechanics, Khanna Publication.
3. Punmia, B.C., Surveying, Standard book depot.
4. Shesha Prakash and Mogaveer; Elements of Civil Engg & Engg. Mechanics; PHI
5. S.P,Timoshenko, Mechanics of stricture, East West press Pvt.Ltd.
6. Surveying by Duggal – Tata McGraw Hill New Delhi.
7. Building Construction by S.C. Rangwala- Charotar publications House, Anand.
8. Building Construction by Grucharan Singh- Standard Book House, New Delhi
9. Global Positioning System Principles and application- Gopi, TMH
10. R.C. Hibbler – Engineering Mechanics: Statics & Dynamics.
11. A. Boresi & Schmidt- Engineering Mechines- statics dynamics, Thomson’ Books
12. R.K. Rajput, Engineering Mechanics S.Chand & Co.
BME
Basic of Mechanical Engineering (Syllabus)
Unit I :
Materials : Classification of engineering material, Composition of Cast iron and Carbon steels, Iron Carbon
diagram. Alloy steels their applications. Mechanical properties like strength, hardness, toughness , ductility,
brittleness , malleability etc. of materials , Tensile test- Stress-strain diagram of ductile and brittle materials
,Hooks law and modulus of elasticity, Hardness and Impact testing of materials, BHN etc.
Unit II:
Measurement: Concept of measurements, errors in measurement, Temperature, Pressure, Velocity, Flow
strain, Force and torque measurement, Vernier caliper, Micrometer, Dial gauge, Slip gauge, Sine-bar and
Combination set.
Production Engineering: Elementary theoretical aspects of production processes like casting, carpentry,
welding etc Introduction to Lathe and Drilling machines and their various operations.
Unit III :
Fluids : Fluid properties pressure, density and viscosity etc. Types of fluids , Newton’s law of viscosity ,
Pascal’s law , Bernoulli’s equation for incompressible fluids, Only working principle of Hydraulic machines,
pumps, turbines, Reciprocating pumps .
Unit IV:
Thermodynamics : Thermodynamic system, properties, state, process, Zeroth, First and second law of
thermodynamics, thermodynamic processes at constant pressure, volume, enthalpy & entropy.
Steam Engineering : Classification and working of boilers, mountings and accessories of boilers, Efficiency
and performance analysis, natural and artificial draught, steam properties, use of steam tables.
Unit V:
Reciprocating Machines :
Working principle of steam Engine, Carnot, Otto, Diesel and Dual cycles P-V & T-S diagrams and its
efficiency, working of Two stroke & Four stroke Petrol & Diesel engines. Working principle of compressor.
Reference Books:
1- Kothandaraman & Rudramoorthy, Fluid Mechanics & Machinery, New Age .
2- Nakra & Chaudhary , Instrumentation and Measurements, TMH.
3- Nag P.K, Engineering Thermodynamics , TMH .
4- Ganesan , Internal Combustion Engines, TMH .
5- Agrawal C M, Basic Mechanical Engineering ,Wiley Publication.
6- Achuthan M , , Engineering Thermodynamics ,PHI.
M2
Mathematics-2 (Syllabus)
Module 1:Ordinary Differential Equations I :(6 hours) : Differential Equations of First Order and First
Degree (Leibnitz linear, Bernoulli’s, Exact), Differential Equations of First Order and Higher Degree, Higher
order differential equations with constants coefficients, Homogeneous Linear Differential equations,
Simultaneous Differential Equations.
Module 2:Ordinary differential Equations II:(8 hours) :Second order linear differential equations with
variable coefficients, Method of variation of parameters, Power series solutions; Legendre polynomials,
Bessel functions of the first kind and their properties.
Module 3: Partial Differential Equations : (8 hours) : Formulation of Partial Differential equations,
Linear and Non-Linear Partial Differential Equations, Homogeneous Linear Partial Differential Equations
with Constants Coefficients.
Module 4: Functions of Complex Variable :(8 hours) : Functions of Complex Variables: Analytic
Functions, Harmonic Conjugate, Cauchy-Riemann Equations (without proof), Line Integral, Cauchy-Goursat
theorem (without proof), Cauchy Integral formula (without proof), Singular Points, Poles & Residues,
Residue Theorem, Application of Residues theorem for Evaluation of Real Integral (Unit Circle).
Module 5: Vector Calculus : (10 hours) : Differentiation of Vectors, Scalar and vector point function,
Gradient, Geometrical meaning of gradient, Directional Derivative, Divergence and Curl, Line Integral,
Surface Integral and Volume Integral, Gauss Divergence, Stokes and Green theorems.
Textbooks/References:
1. G.B. Thomas and R.L. Finney, Calculus and Analytic geometry, 9th Edition, Pearson,
Reprint, 2002.
2. Erwin kreyszig, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons, 2006.
3. W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 9th
Edn., Wiley India, 2009.
4. S. L. Ross, Differential Equations, 3rd Ed., Wiley India, 1984.
5. E. A. Coddington, An Introduction to Ordinary Differential Equations, Prentice Hall India, 1995.
6. E. L. Ince, Ordinary Differential Equations, Dover Publications, 1958.
7. J. W. Brown and R. V. Churchill, Complex Variables and Applications, 7th Ed., McGraw Hill,
2004.
8. N.P. Bali and Manish Goyal, A text book of Engineering Mathematics, Laxmi
Publications, Reprint, 2008.
9. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 36th Edition, 2010.