Civil Environmental Engineering 3rd Sem

Engineering Mathematics III [21MAT31]

Question Papers

Notes

  • Fourier Series: Periodic functions, Dirichlet’s condition. Fourier series of periodic functions period 2 and arbitrary period. Half range Fourier series. Application of Practical harmonic analysis.

    Module 1

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

    Module 2

  • 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 and applications to solve difference equations.

    Module 3

  • Partial Differential Equations (PDE's): Formation of PDE's by elimination of arbitrary constants and functions. Solution of non-homogeneous PDE by direct integration. Homogeneous PDEs involving derivative with respect to one independent variable only. Solution of Lagrange's linear PDE. Derivation of one-dimensional heat equation and wave equation. Solution of one-dimensional heat equation and wave equation by the method of separation of variables.

    Module 4

  • Statistical Methods: Correlation and regression-Karl Pearson’s coefficient of correlation and rank correlation-problems. Regression analysis- lines of regression –problems.

    Curve Fitting: Curve fitting by the method of least squares- fitting the curves of the form- 𝑦 = 𝑎𝑥 + 𝑏 , 𝑦 = 𝑎𝑥𝑏 𝑎𝑛𝑑 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐.

    Module 5
Surveying & Geomatics (21CV32)
  • Module 1

    Introduction to Surveying
    Fundamentals of Maps: Maps - types; scales-types; measuring distance; finding direction and use of symbols. Map projection - Latitude, Longitude and time, Topographical survey – Toposheets and Principles of topo sheet numbering, Analysis of landforms using maps.

    History of Surveying: Definition of Surveying, Uses of Surveying, Basic principles of surveying, Classification of Surveys. Introduction to Chain surveying, Compass surveying, Plane table surveying and Theodolite surveying.

    Levelling: Principles of levelling- booking and reducing levels; Types of levelling- differential, reciprocal levelling, profile levelling and cross sectioning. Numerical problems.

    Contouring: Contours and their characteristics, Uses of contours. Introduction to areas and volumes

  • Module 2

    Curve Surveying: Elements of simple and compound curves – Method of setting out of simple and compound curves, Elements of Reverse and Transition curve.

  • Module 3

    Modern Field Survey Systems (8 Hours): Principle of Electronic Distance Measurement, Modulation, Types of EDM instruments, Total Station – Parts of a Total Station – Accessories –Advantages and Applications,

    Global Positioning Systems- Segments, GPS measurements, errors and biases, Surveying with GPS, Co ordinate transformation, accuracy considerations. Introduction to DGPS, Drone surveying and LiDAR

  • Module 4

    Photogrammetry Surveying: Introduction, Basic concepts, perspective geometry of aerial photograph, relief and tilt displacements, terrestrial photogrammetry, flight planning; Stereoscopy; photographic mapping- mapping using paper prints, mapping using stereo plotting instruments, mosaics, map substitutes.

  • Module 5

    Remote Sensing and GIS: Introduction –Electromagnetic Spectrum, interaction of electromagnetic radiation with the atmosphere and earth surface, remote sensing data acquisition: platforms and sensors; visual image interpretation.
    Introduction to GIS, Digital Elevation Model (DEM),

Earth Resources Engineering (21CV33)
  • Module 1

    Introduction, scope of earth science in Engineering Geohazards and disasters, Mitigation and management Earths internal dynamics ,Plate tectonics, Earth quakes types, causes iso-seismal line, seismic zonation map, seismic proof structures, volcanic eruption, landslides, tsunamis, cyclones – Causes & management.

  • Module 2

    Earth Resources Minerals -Industrial, rock forming and ore minerals. Physical properties, composition and uses Rocks as a construction materials- physical properties, texture, composition, applications for aggregate, decorative (facing/polishing), railway ballast, rocks for masonry work, monumental/architecture, rocks as aquifers, water bearing properties igneous, sedimentary.

  • Module 3

    Surface investigation for Civil Engineering projects Weathering, type, causes, soil in-situ, drifted soil, soil profile, soil mineralogy , structure, types of soil, Black cotton soil v/s Lateritic soil; effects of weathering on monumental rocks, River morphology and basin investigation for engineering Projects like earthen dam, gravity dam, arch dam, features of river erosion, deposition and their influences on river valley projects, morphometric analysis of river basin, selection of site for artificial recharge,, interlinking of river basins, coastal process and landforms, sedimentation /siltation, erosion.

  • Module 4

    Subsurface investigation for deep foundation Borehole data(and problems), Dip and strike, and outcrop problems(numerical problem geometrical/ simple trigonometry based), Electrical Resistivity meter, depth of water table, (numerical problems) seismic studies, faults, folds, unconformity, joints types, recognition and their significance in Civil engineering projects like tunnel project, dam project, , Ground improvements like rock bolting, rock jointing, grouting.

  • Module 5

    Introduction to Mining and Its Impact Mining – definition and economic importance; Mine – definition, different types and classification; Mine life cycle; Mineral deposit – different types and their classification; Mineral resources of India; Modes of entry to a mine – shaft, incline, decline, adit and box-cut. Overview of surface mining: Types of surface mines, unit operations, basic bench geometry, applicability & limitations and advantages & disadvantages. Granite mining and Mining Impacts

Building Materials & Construction (21CV34)
  • Module 1

    Introduction to Building materials
    Aggregates, Bricks, concrete blocks, Cement, Mortar, Concrete, Timber, steel, Glass, MDF, Ply wood.

    Painting: Characteristics of an ideal paint, classification & types of paints, painting on different surfaces, defects in painting, varnishing, distempering, white washing &colour washing.

    Green and Smart Materials: Passive Products & Materials include glazing, insulation, paints & coatings, adhesives & sealants, fly-ash blocks, cement, concrete, composite wood, filler slabs, certified new wood, housekeeping chemicals, false ceiling materials, flooring materials, furniture, gypsum-based products, high reflective materials & coatings, glass etc.

  • Module 2

    Foundations
    Introduction, Depth of footings, Strip footing, Isolated footing, Eccentrically loaded footings, Grillage foundations, Combined footings, Strap footing, Raft foundation, Foundations for black cotton soils, stepped footings, Adjacent footings.

  • Module 3

    Masonry, Doors & Windows
    Stone masonry: Definition of terms, Classification of stone masonry, dressing of stones, joints in stone masonry.
    Brick Masonry: Terminologies, types of bonds: stretcher bond, header bond, English bond, Flemish bond, brick laying, defects in brick masonry, Thickness of a brick wall, buttresses, thresholds, window sills, corbels, copings, jambs. Concrete masonry, Hollow clay block masonry.
    Doors& windows: Terminologies, Location of doors & windows, size of doors, door frames, types of doors & windows.

  • Module 4

    Formwork & scaffolding, Plastering & pointing Formwork: requirements, IS standards on form work, Loads on form work, shuttering for: columns-beam & slab floor-stairs walls. Shoring, under pinning, scaffolding. Plastering & pointing: plastering, terminologies, tools for plastering, number of coats of plaster, methods of plastering, types of plaster finishes, defects in plastering, pointing.

  • Module 5

    Green Building: Concept of Green building, Principles of green buildings, Eco-friendly materials, Certification systems – Green Rating for Integrated Habitat Assessment (GRIHA) and Leadership in Energy and Environmental Design (LEED).

Strength of Materials (21CV35)
  • Module 1

    Simple Stresses and Strains: Introduction, Properties of Materials, Stress, Strain, Hook’s law, Poisson’s Ratio, Stress – Strain Diagram for structural steel, Principles of superposition, Total elongation of tapering bars of circular and rectangular cross sections. Composite section, Volumetric strain, expression for volumetric strain, Elastic constants, relationship among elastic constants, Thermal stress and strains

    Compound stresses: Introduction, Stress components on inclined planes, General two-dimensional stress system, Principal planes and stresses, maximum shear stresses and their planes (shear planes). Compound stress using Mohr’s circle method.

  • Module 2

    Bending moment and shear force diagrams in beams: Definition of shear force and bending moment, Sign convention, Relationship between loading, shear force and bending moment, Shear force and bending moment equations, development of Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) with salient values for cantilever, simply supported and overhanging beams for point loads, UDL (Uniformly Distributed Load), UVL (Uniformly Varying Load) and Couple.

  • Module 3

    Bending stress in beams: Introduction – Bending stress in beam, Pure bending, Assumptions in simple bending theory, derivation of Simple bending equation (Bernoulli’s equation), modulus of rupture, section modulus, Flexural rigidity, Problems
    Shear stress in beams: Derivation of Shear stress intensity equations, Derivation of Expressions of the shear stress intensity for rectangular, triangular and circular cross sections of the beams. Problems on calculation of the shear stress intensities at various critical levels of T, I and Hollow rectangular cross sections of the beam.

  • Module 4

    Torsion: Twisting moment in shafts, simple torque theory, derivation of torsion equation, tensional rigidity, polar modulus, shear stress variation across solid circular and hollow circular sections, Problems

    Thin cylinders: Introduction: Longitudinal, circumferential (hoop) stress in thin cylinders. Expressions for longitudinal and circumferential stresses. Efficiency of longitudinal and circumferential joints. Problems on estimation of change in length, diameter and volume when the thin cylinder subjected to internal fluid pressure.

    Thick cylinders: Concept of Thick cylinders Lame’s equations applicable to thick cylinders with usual notations, calculation of longitudinal, circumferential and radial stresses – simple numerical examples. Sketching the variation of radial stress (pressure) and circumferential stress across the wall of thick cylinder.

  • Module 5

    Elastic stability of columns: Introduction – Short and long columns, Euler’s theory on columns, Effective length, slenderness ratio, radii of gyration, buckling load, Assumptions, derivations of Euler’s Buckling load for different boundary conditions, Limitations of Euler’s theory, Rankine’s formula and related problems.

    Deflection of determinate Beams: Introduction, Elastic curve –Derivation of differential equation of flexure, Sign convention, Slope and deflection using Macaulay’s method for statically determinate beams subjected to various vertical loads, moment, couple and their combinations. Numerical problems.

Computer Aided Building Drawings (21CVL36)
  • 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 of 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 staircases – Dog legged, Open well,
    c) Lintel and chajja.
    d) RCC Slabs and beams.

  • 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.
    Submission drawing (sanction drawing) of two storied residential building with access to terrace including all details and statements as per the local bye-laws Industry Applications : 3D Modelling and Rendering, 2D Animation, Construction site Simulation

    Environmental Engineering Drawings
    e) Septic Tank and sedimentation Tank.
    f) Layout plan of Rainwater recharging and harvesting system.
    g) Layout of Typical Water Supply System.
    f) Drawing of Hydraulic Profile for Water Treatment Unit.

Environmental Studies [21CIV37]
  • Module 1

    Introduction: Environment - Components of Environment Ecosystem: Types & Structure of Ecosystem, Balanced ecosystem Human Activities – Food, Shelter, And Economic & Social Security.

    Impacts: Impacts of Agriculture & Housing Impacts of Industry, Mining & Transportation Environmental Impact Assessment, Sustainable Development.

  • Module 2

    Natural Resources, Water resources – Availability & Quality aspects, Water borne diseases & water induced diseases, Fluoride problem in drinking water Mineral resources, Forest Wealth Material Cycles – Carbon Cycle, Nitrogen Cycle & Sulphur Cycle.

    Energy – Different types of energy, Conventional sources &Non Conventional sources of energy Solar energy, Hydro electric energy, Wind Energy, Nuclear energy, Biomass & Biogas Fossil Fuels, Hydrogen as an alternative energy.

  • Module 3

    Environmental Pollution – Water Pollution, Noise pollution, Land Pollution, Public Health Aspects.

    Global Environmental Issues: Population Growth, Urbanization, Land Management, Water & Waste Water Management

  • Module 4

    Air Pollution & Automobile Pollution: Definition, Effects – Global Warming, Acid rain & Ozone layer depletion, controlling measures.

    Solid Waste Management, E –Source, Segregation, Transportation, and Waste Treatment and Management

    &Biomedical Waste Management - Sources, Characteristics & Disposal methods.

  • Module 5

    Applications of GIS & Remote Sensing and Smart Technologies in Environmental Engineering Practices.

    Environmental Legislations: Acts, Rules& Regulations, Role of government, Legal aspects, Role of Nongovernmental Organizations (NGOs), Environmental Education & Women Education.

Universal Human Value & Professional Ethics [21UHV38]
  • Module 1

    Introduction to Value Education: Right Understanding, Relationship and Physical Facility (Holistic Development and the Role of Education) Understanding Value Education, Self exploration as the Process for Value Education, Continuous Happiness and Prosperity – the Basic Human Aspirations, Happiness and Prosperity – Current Scenario, Method to Fulfil the Basic Human Aspirations

  • Module 2

    Harmony in the Human Being: Understanding Human being as the Co-existence of the Self and the Body, Distinguishing between the Needs of the Self and the Body, The Body as an Instrument of the Self, Understanding Harmony in the Self, Harmony of the Self with the Body, Programme to ensure self regulation and Health

  • Module 3

    Harmony in the Family and Society: Harmony in the Family – the Basic Unit of Human Interaction, 'Trust' – the Foundational Value in Relationship, 'Respect' – as the Right Evaluation, Other Feelings, Justice in Human-to-Human Relationship, Understanding Harmony in the Society, Vision for the Universal Human Order

  • Module 4

    Harmony in the Nature/Existence: Understanding Harmony in the Nature, Interconnectedness, self-regulation and Mutual Fulfilment among the Four Orders of Nature, Realizing Existence as Co-existence at All Levels, The Holistic Perception of Harmony in Existence

  • Module 5

    Implications of the Holistic Understanding – a Look at Professional Ethics: Natural Acceptance of Human Values, Definitiveness of (Ethical) Human Conduct, A Basis for Humanistic Education, Humanistic Constitution and Universal Human Order, Competence in Professional Ethics Holistic Technologies, Production Systems and Management Models Typical Case Studies, Strategies for Transition towards Value based Life and Profession