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**B. E. CIVIL ENGINEERING **

Outcome Based Education (OBE) and Choice Based Credit System (CBCS) **2018 scheme**

**SEMESTER – III**

**TRANSFORM CALCULUS, FOURIER SERIES AND NUMERICAL TECHNIQUES**

**(Common to all Programmes)**

**Course Code 18MAT31**

Module-1

Laplace Transforms: Definition and Laplace transform of elementary functions. Laplace transforms of Periodic functions and unit-step function – problems. Inverse Laplace Transforms: Inverse Laplace transform – problems, Convolution theorem to find the inverse Laplace transform (without proof) and problems, solution of linear differential equations using Laplace transform.

Module-2

Fourier Series: Periodic functions, Dirichlet’s condition. Fourier series of periodic functions period 2 and arbitrary period. Half range Fourier series. Practical harmonic analysis, examples from engineering field.

Module-3

Fourier Transforms: Infinite Fourier transforms, Fourier sine and cosine transforms. Inverse Fourier

transforms. Simple problems. Difference Equations and Z-Transforms: Difference equations, basic definition, z-transform-definition,Standard z-transforms, Damping and shifting rules, initial value and final value theorems (without proof) and problems, Inverse z-transform. Simple problems.

Module-4

Numerical Solutions of Ordinary Differential Equations (ODE’s): Numerical solution of ODE’s of first order and first degree- Taylor’s series method, Modified Euler’s method. Range – Kutta method of fourth order, Milne’s and Adam-Bashforth predictor and corrector method (No derivations of formulae), Problems.

Module-5

Numerical Solution of Second Order ODE’s: Runge -Kutta method and Milne’s predictor and corrector

method.(No derivations of formulae). Calculus of Variations: Variation of function and functional, variational problems, Euler’s equation, Geodesics, hanging chain, problems.

## STRENGTH OF MATERIALS

## Course Code 18CV32

Module-1

Simple Stresses and Strain: Introduction, Definition and concept and of stress and strain. Hooke’s law, Stress-Strain diagrams for ferrous and non-ferrous materials, factor of safety, Elongation of tapering bars of circular and rectangular cross sections, Elongation due to self-weight. Saint Venant’s principle, Compound bars, Temperature stresses, Compound section subjected to temperature stresses, state of simple shear, Elastic constants and their relationship.

Module-2

Compound Stresses: Introduction, state of stress at a point, General two dimensional stress system, Principal stresses and principal planes. Mohr’s circle of stresses. Theory of failures: Max. Shear stress theory and Max. principal stress theory.

Thin and Thick Cylinders: Introduction, Thin cylinders subjected to internal pressure; Hoop stresses, Longitudinal stress and change in volume. Thick cylinders subjected to both internal and external pressure; Lame’s equation, radial and hoop stress distribution.

Module-3

Shear Force and Bending Moment in Beams: Introduction to types of beams, supports and loadings. Definition of bending moment and shear force, Sign conventions, relationship between load intensity, bending moment and shear force. Shear force and bending moment diagrams for statically determinate beams subjected to points load, uniformly distributed loads, uniformly varying loads, couple and their combinations.

Module-4

Bending and Shear Stresses in Beams: Introduction, pure bending theory, Assumptions, derivation of

bending equation, modulus of rupture, section modulus, flexural rigidity. Expression for transverse shear

stress in beams, Bending and shear stress distribution diagrams for circular, rectangular, ‘I’, and ‘T’ sections.

Shear centre (only concept).

Torsion in Circular Shaft: Introduction, pure torsion, Assumptions, derivation of torsion equation for circular shafts, torsional rigidity and polar modulus Power transmitted by a shaft.

Module-5

Deflection of Beams: Definition of slope, Deflection and curvature, Sign conventions, Derivation of moment curvature equation. Double integration method and Macaulay’s method: Slope and deflection for standard loading cases and for determinate prismatic beams subjected to point loads, UDL, UVL and couple.

Columns and Struts: Introduction, short and long columns. Euler’s theory; Assumptions, Derivation for Euler’s Buckling load for different end conditions, Limitations of Euler’s theory. Rankine-Gordon’s formula for columns.

## FLUIDS MECHANICS

## Course Code 18CV33

Module-1

Fluids & Their Properties: Concept of fluid, Systems of units. Properties of fluid; Mass density, Specific

weight, Specific gravity, Specific volume, Viscosity, Newton’s law of viscosity (theory & problems), Cohesion, Adhesion, Surface tension, Pressure inside a water droplet, soap bubble and liquid jet. Numerical problems,& Capillarity. Capillary rise in a vertical tube and between two plane surfaces (theory & problems).Vapor pressure of liquid, compressibility and bulk modulus, Fluid as a continuum, Fluid Pressure and Its Measurements: Definition of pressure, Pressure at a point, Pascal’s law, Variation of pressure with depth. Types of pressure. Measurement of pressure using simple, differential & inclined manometers (theory & problems). Introduction to Mechanical and electronic pressure measuring devices.

Module-2

Hydrostatic forces on Surfaces: Definition, Total pressure, centre of pressure, total pressure on horizontal,

vertical and inclined plane surface, total pressure on curved surfaces, water pressure on gravity dams, Lock

gates. Numerical Problems.Fundamentals of fluid flow (Kinematics): Introduction. Methods of describing fluid motion. Velocity and Total acceleration of a fluid particle. Types of fluid flow, Description of flow pattern. Basic principles of fluid flow, three- dimensional continuity equation in Cartesian coordinate system. Derivation for Rotational and irrational motion. Potential function, stream function, orthogonality of streamlines and equipotential lines.Numerical problems on Stream function and velocity potential. Introduction to flow net.

Module-3

Fluid Dynamics: Introduction. Forces acting on fluid in motion. Euler’s equation of motion along a streamline and Bernoulli’s equation. Assumptions and limitations of Bernoulli’s equation. Modified Bernoulli’s equation. Problems on applications of Bernoulli’s equation (with and without losses). Momentum equation problems on pipe bends.

Applications: Introduction. Venturi meter, Orifice meter, Pitot tube. Numerical Problems.

Module-4

Orifice and Mouth piece: Introduction, classification, flow through orifice, hydraulic coefficients and Numerical problems. Mouthpiece, classification, Borda’s Mouthpiece (No problems). Notches and Weirs: Introduction. Classification, discharge over rectangular, triangular, trapezoidal notches, Cippoletti notch, broad crested weirs. Numerical problems. Ventilation of weirs, submerged weirs.

Module-5

Flow through Pipes: Introduction. Major and minor losses in pipe flow. Darcy- Weis bach equation for head

loss due to friction in a pipe. Pipes in series, pipes in parallel, equivalent pipe-problems. Minor losses in pipe flow, equation for head loss due to sudden expansion. Numerical problems. Hydraulic gradient line, energy gradient line.Numerical problems, .Pipe Networks, Hardy Cross method (No problems on pipe networks), Surge Analysis in Pipes: Water hammer in pipes, equations for pressure rise due to gradual valve closure and sudden closure for rigid and elastic pipes. Problems.

## BUILDING MATERIALS AND CONSTRUCTION

## Course Code 18CV34

Module-1

Building Materials: Stone as building material; Requirement of good building stones, Dressing of stones, Deterioration and Preservation of stone work. Bricks; Classification, Manufacturing of clay bricks, Requirement of good bricks. Field and laboratory tests on bricks; compressive strength, water absorption, efflorescence, dimension and warpage. Cement Concrete blocks, Autoclaved Aerated Concrete Blocks, Sizes, requirement of good blocks.

Timber as construction material. Fine aggregate: Natural and manufactured: Sieve analysis, zoning, specify gravity, bulking, moisture content, deleterious materials.

Coarse aggregate: Natural and manufactured: Importance of size, shape and texture. Grading of aggregates, Sieve analysis, specific gravity, Flakiness and elongation index, crushing, impact and abrasion tests.

Module-2

Foundation: Preliminary investigation of soil, safe bearing capacity of soil, Function and

requirements of good foundation , types of foundation , introduction to spread, combined , strap, mat and pile foundation

Masonry: Definition and terms used in masonry. Brick masonry, characteristics and requirements of good brick masonry, Bonds in brick work, Header, Stretcher, English, Flemish bond, Stone masonry, Requirements of good stone masonry, Classification, characteristics of different stone masonry, Joints in stone masonry. Types of walls; load bearing, partition walls, cavity walls.

Module-3

Lintels and Arches: Definition, function and classification of lintels, Balconies, chejja and canopy. Arches; Elements and Stability of an Arch.

Floors and roofs: Floors; Requirement of good floor, Components of ground floor, Selection of flooring material Procedure for laying of Concrete (VDF), Mosaic, Kota, Slate, Marble, Granite, Tile flooring, Cladding of tiles.

Roof: Requirement of good roof, Types of roof, Elements of a pitched roof, Trussed roof, King post Truss, Queen Post Truss, Steel Truss, Different roofing materials, R.C.C. Roof.

Module-4

Doors, Windows and Ventilators: Location of doors and windows, technical terms, Materials for doors and windows: PVC, CPVC and Aluminum. Types of Doors and Windows: Paneled, Flush, Collapsible, Rolling shutter, Paneled and glazed Window, Bay Window, French window. Steel windows, Ventilators. Sizes as per IS recommendations.

Stairs: Definitions, technical terms and types of stairs: Wood, RCC, Metal. Requirements of good stairs. Geometrical design of RCC doglegged and open-well stairs. Formwork: Introduction to form work, scaffolding, shoring, under pinning.

Module-5

Plastering and Pointing: Mortar and its types. Purpose, materials and methods of plastering and pointing: Sand faced plastering, Stucco plastering, lathe plastering, defects in plastering . Water proofing with various thicknesses.

Damp proofing- causes, effects and methods. Paints- Purpose, types, technical terms, ingredients and defects, Preparation and applications of paints to new and old plastered surfaces, wooden and steel surfaces.

## BASIC SURVEYING

## Course Code 18CV35

Module-1

Introduction: Definition of surveying, Objectives and importance of surveying. Classification of surveys. Principles of surveying. Units of measurements, Surveying measurements and errors, types of errors, precision and accuracy. Classification of maps, map scale, conventional symbols, topographic maps, map layout, Survey of India Map numbering systems. Measurement of Horizontal Distances: Measuring tape and types. Measurement using tapes, Taping on level ground and sloping ground. Errors and corrections in tape measurements, ranging of lines,

direct and indirect methods of ranging, Electronic distance measurement, basic principle. Booking of tape survey work, Field book, entries, Conventional symbols, Obstacles in tape survey, Numerical problems.

Module-2

Measurement of Directions and Angles: Compass survey: Basic definitions; meridians, bearings, magnetic and True bearings. Prismatic and surveyor’s compasses, temporary adjustments, declination. Quadrantal bearings, whole circle bearings, local attraction and related problems Traversing: Traverse Survey and Computations: Latitudes and departures, rectangular coordinates, Traverse adjustments, Bowditch rule and transit rule, Numerical Problems.

Module-3

Leveling: Basic terms and definitions, Methods of leveling, Dumpy level, auto level, digital and laser levels. Curvature and refraction corrections. Booking and reduction of levels. Differential leveling, profile leveling, fly leveling, check leveling, reciprocal leveling.

Module-4

Plane Table Surveying: Plane table and accessories, Advantages and limitations of plane table survey,Orientation and methods of orientation, Methods of plotting – Radiation, Intersection, Traversing, Resection method, Two point and three point problems, Solution to two point problem by graphical method, Solution to three point problem Bessel’s graphical method, Errors in plane table survey.

Module-5

Areas and Volumes: Measurement of area by dividing the area into geometrical figures, area from offsets, mid ordinate rule, trapezoidal and Simpson’s one third rule, area from co-ordinates, introduction to planimeter, digital planimeter. Measurement of volumes- trapezoidal and prismoidal formula.

Contouring: Contours, Methods of contouring, Interpolation of contours, contour gradient,

characteristics of contours and uses.

## ENGINEERING GEOLOGY

## Course Code 18CV36

Module-1

Introduction: Application of Geology in Civil Engineering Practices, Understanding the earth, internal structure

and composition.

Mineralogy: Mineral properties, composition and their use in the manufacture of construction materials – Quartz

Group (Glass); Feldspar Group (Ceramic wares and Flooring tiles); Kaolin (Paper, paint and textile); Asbestos

(AC sheets); Carbonate Group ( Cement) ; Gypsum (POP, gypsum sheets, cement); Mica Group (Electrical

industries); Ore minerals – Iron ores (Steel); Chro mite (Alloy); Bauxite (aluminum); Chalcopyrite (copper).

Module-2

Petrology & Geomorphology: Formation, Classification and Engineering Properties of: Igneous rocks-Types of

Granite, Dolerite, Basalt, Pumice, Granite Porphyry. Sedimentary Rocks- Sandstone, Limestone, Shale, Late

rite, Conglomerate. Metamorphic Rocks- Gneiss, Slate, Muscovite & Biotite schist, Marble, Quartzite. Rock

weathering: types and their effects on Civil Engineering Projects. Landforms, Drainage pattern and types. Soil

formation and soil profile. The apprehension of Index properties of rocks: Porosity, Density, Permeability, and

Durability. Selection of rocks as materials for construction, as a foundation, Decorative, Flooring, and Roofing,

Concrete Aggregate, Road Metal, Railway Ballast with examples.

Module-3

Structural Geology & Rock Mechanics: Structural aspects of rocks like Outcrop, Dip and strike, Folds, Faults,

Joints, Unconformities and their influence on Engineering Projects/structures like dam, tunnels, slope treatment;

ground improvement, recognition of the structures in field and their types/classification. Rock Quality

Determination (RQD) & Rock Structure Rating (RSR). Geological site characterization: Dam foundations and

rock Foundation treatment for dams and Reservoirs heavy structures by grouting and rock reinforcement.

Tunnels: Basic terminology and application, site investigations, Coastlines and their engineering considerations.

Module-4

Hydrogeology: Hydrological cycle, Vertical distribution of groundwater, artesian groundwater in soil and rock.

Water Bearing Formations, Aquifer and its types – Aquitard, Aquifuge, and Aquiclude. Porosity, Specific yield

and retention, Permeability, Transmissibility and Storage Coefficient. Determination of Quality – SAR, RSC and

TH of Groundwater. Groundwater Exploration- Electrical Resistivity and Seismic methods, Artificial Recharge of

Groundwater, Rain water harvesting and methods, Seawater intrusion in coastal areas and remedies. Groundwater

Pollution. Floods and its control, Cyclone and its effects.

Module-5

Seismology and Geodesy: Earthquake – Causes and Effects, Seismic waves, engineering problems related to

Earthquakes, Earthquake intensity, Richter scale, Seismograph, Seismic zones- World and India. Tsunami- causes

and effects, Volcanic Eruptions. Landslides (Mass movements) causes, types and remedial measures –stability

assessment for soil and rock slopes. Study of Topographic maps and Contour maps; Remote Sensing – Concept,

Application and its Limitations; Geographic Information System (GIS) and Global Positioning System (GPS) –

Concept and their use resource mapping. Aerial Photography, LANDSAT Imagery – Definition and its use.

Impact of Mining, Quarrying and Reservoirs on Environment. Natural Disasters and their mitigation

## COMPUTER AIDED BUILDING PLANNING AND DRAWING

## Course Code 18CVL37

Module:1

Drawing Basics: Selection of scales for various drawings, thickness of lines, dimensioning, abbreviations and

conventional representations as per IS: 962.Simple engineering drawings with CAD drawing tools : Lines, Circle, Arc, Poly line, Multiline, Polygon, Rectangle, Spline, Ellipse, Modify tools: Erase, Copy, Mirror, Offset, Array, Move, Rotate, Scale, Stretch, Lengthen, Trim, Extend, Break, Chamfer and Fillet, Using Text: Single line text, Multiline text, Spelling, Edit text, Special Features: View tools, Layers concept, Dimension tools, Hatching, Customizing toolbars, Working with multiple drawings.

Module:2

Drawings Related to Different Building Elements:Following drawings are to be prepared for the data given using CAD Software

a) Cross section of Foundation, masonry wall, RCC columns with isolated & combined footings.

b) Different types of bonds in brick masonry.

c) Different types of staircases – Dog legged, Open well.

d) Lintel and chajja.

e) RCC slabs and beams.

f) Cross section of a pavement.

g) Septic Tank and sedimentation Tank.

h) Layout plan of Rainwater recharging and harvesting system.

i) Cross sectional details of a road for a Residential area with provision for all services.¸

j) Steel truss (connections Bolted).

Note: Students should sketch to dimension the above in a sketch book before doing the computer drawing.

Module -3:

Building Drawings: Principles of planning, Planning regulations and building bye-laws, factors affecting site

selection, Functional planning of residential and public buildings, design aspects for different public buildings.

Recommendations of NBC.

Drawing of Plan, elevation and sectional elevation including electrical, plumbing and sanitary services using CAD

software for:

1. Single and double story residential building.

2. Hostel building.

3. Hospital building.

4. School building.

## BUILDING MATERIALS TESTING LABORATORY

Course Code 18CVL38

Experiments:

1. Tension test on mild steel and HYSD bars.

2. Compression test on mild steel, cast iron and wood.

3. Torsion test on mild steel circular sections.

4. Bending Test on Wood Under two point loading.

5. Shear Test on Mild steel- single and double shear.

6. Impact test on Mild Steel (Charpy & Izod).

7. Hardness tests on ferrous and non-ferrous metals- Brinell’s, Rockwell and Vicker’s.

8. Tests on Bricks, Tiles and Concrete Blocks.

9. Tests on Fine aggregates-Moisture content, Specific gravity, Bulk density, Sieve analysis and Bulking.

10. Tests on Coarse aggregates-Absorption, Moisture content, specific gravity, Bulk density and Sieve

analysis.

11. Demonstration of Strain gauges and Strain indicators.

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