SOE Archive

Question Papers

• 2023
• CIE

Notes

• Calculus of complex functions: Review of function of a complex variables, limits, continuity, and differentiability. Analytic functions: Cauchy-Riemann equations in Cartesian and polar forms and consequences.
  
  Construction of analytic functions: Milne-Thomson method Problems.

  Module 1

• Conformal transformations: Introduction. Discussion of transformations: w = z² , w = z + 1/z , (z ≠ 0). Bilinear transformations- Problems.
  
  Complex integration: Line integral of a complex function Cauchy’s theorem and Cauchy’s integral formula and problems.

  Module 2

• 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. Runge -Kutta method of fourth order, Milne’s predictor and corrector method (No derivations of formulae)-Problems. Numerical Solution of Second Order ODE’s - Runge-Kutta method and Milne’s predictor and corrector method. (No derivations of formulae).

  Module 3

• Probability Distributions: Review of basic probability theory. Random variables (discrete and continuous), probability mass/density functions. Binomial, Poisson, exponential and normal distributions- problems (No derivation for mean and standard deviation)-Illustrative examples.

  Module 4

• Joint probability distribution: Joint Probability distribution for two discrete random variables, expectation and covariance.
  
  Sampling Theory: Introduction to sampling distributions, standard error, Type-I and Type-II errors. Test of hypothesis for means, student’s t-distribution, Chi-square distribution as a test of goodness of fit.

  Module 5

• Module 1
  

  Fluids and their properties, Fluid pressure measurements, Pascal’s law, Measurement of pressure using manometer, Total pressure and centre of pressure on vertical and inclined plane surfaces.

• Module 2
  

  Kinematics- Types of fluid flow, continuity equation in Cartesian coordinates, flow nets, Dynamics- Euler’s equation of motion, Bernoulli’s equation, Application-Venturimeter, Orificemeter, Pitot tube

• Module 3
  

  Classification of orifice and mouth piece, Hydraulic coefficients, Discharge over Rectangular, Triangular and Cipoletti notch.
  
  Flow through pipes-Major and minor losses, pipes in series and parallel, concepts of water hammer and surge tanks

• Module 4
  

  Open Channel Hydraulics- Classification of Flow through channels, Most economical channel sections: Rectangular, Triangular and Circular. Uniform flow, Specific energy.
  
  Non-Uniform flow- Hydraulic jump, Analysis of GVF equation.

• Module 5
  

  Impact of jet on curved vanes, momentum equation, Impact of jet on stationary and moving curved vanes.
  Turbines- Pelton wheel and components, Velocity triangle Reaction turbine-Francis turbine, Working proportions. Centrifugal Pumps-Work done and efficiency, Multi stage pumps

• Module 1
  

  Introduction: Water: Need for protected water supply, Demand of Water: Types of water demands -domestic demand, industrial, institutional and commercial demand, public use and fire demand estimation, factors affecting per capita demand, Variations in demand of water, Peak factor.
  Design period and factors governing design period. Methods of population forecasting and numerical problems.
  Physico-chemical characteristics of water (Analysis to be conducted in laboratory session). Sampling.

• Module 2
  

  Water Treatment: Objectives, Unit flow diagrams – significance of each unit, Aeration process- Limitations and types.
  
  Sedimentation - Theory, settling tanks, types and design, Coagulation and flocculation, types of coagulants, (Optimization of coagulant to be carried out in the laboratory), Clari-flocculator.
  
  Filtration: mechanism, theory of filtration, types of filters: slow sand, rapid sand and pressure filters. Operation and cleaning. Design of slow and rapid sand filter without under drainage system

• Module 3
  

  Disinfection: Methods of disinfection with merits and demerits. Breakpoint of chlorination (Analysis to be conducted in laboratory session).
  
  Water softening: Introduction, types of hardness and methods of their removal, Lime-soda process, Lime-soda softening plant, Water softening accelerator, zeolite process, Demineralization or Deionization process.
  
  Miscellaneous Treatment methods: Activated carbon Treatment, Defluoridation, Desalination.

• Module 4
  

  Pumps & Pumping: Necessity of pumping, types of pumps and their choice, displacement pumps, centrifugal pumps, jet pump, air lift pumps, well pumps, power requirement of pumps, economical diameter of pumping mains.
  
  Conveyance of water: Introduction, types of pipes (based on material), stresses in pipes, corrosion in pipes, Pipe appurtenances.

• Module 5
  

  Distribution of water: Introduction, methods of distribution, Pressure in distribution mains, systems of water supply, storage and distribution reservoirs, types of storage and storage and distribution reservoirs.
  
  Water supply for buildings: materials for service pipes, service connection, size of service pipes, water meters, valves.

• Module 1
  

  Deflection of Beams:
  Moment area method– Derivation, Mohr’s theorems, Sign convention; Application of moment area method to determinate prismatic beams, beams of varying cross section; Use of moment diagram by parts;
  
  Conjugate beam method– Real beam and conjugate beam, conjugate beam theorems; Application of conjugate beam method to determinate beams of varying cross sections.

• Module 2
  

  Energy Principles and Energy Theorems:
  Principle of virtual displacements; Principle of virtual forces, Strain energy and complementary energy; Strain energy due to axial force, bending shear and torsion; Deflection of determinate beams and trusses using total strain energy; Deflection at the point of application of single point load;
  
  Castigliano’s theorems, application of Castigliano’s theorems to calculate deflection of trusses, frames; Special application – Dummy unit load method.

• Module 3
  

  Arches and Cables:
  Three-hinged circular and parabolic arches with supports at the same and different levels; Determination of normal thrust, radial shear and bending moment; Analysis of cables under point loads and UDL; Length of cables with supports at the same and different levels; Stiffening trusses for suspension cables.

• Module 4
  

  Slope Deflection Method:
  Introduction, sign convention, development of slope deflection equation; Analysis of continuous beams including settlement of supports; Analysis of orthogonal rigid plane frames including sway frames with kinematic indeterminacy up to 3

• Module 5
  

  Matrix Methods of Structural Analysis: Definition of stiffness and flexibility methods, comparison to classical methods.
  
  Stiffness Method: Stiffness matrix, Analysis of continuous beams and plane trusses using system approach; Analysis of simple orthogonal plane frames using system approach with kinematic indeterminacy up to 3.

• Module 1
  

  Principles of Transportation Engineering: Importance of transportation, Different modes of transportation. Characteristics of road transport, Importance of Roads in India, Current Road development Programmes in India. Highway Development and Planning: Highway Development in India, Highway Planning, Planning Surveys and Interpretation, Highway Planning in India. Highway Alignment and Project preparation: Highway Alignment, Engineering Surveys for Highway Alignment, Drawings and Reports, Highway Projects, Preparation of Detailed Project Report

• Module 2
  

  Highway Geometric Design of horizontal alignment elements: Cross sectional elements, Sight distance, Design of Horizontal alignment, Design of vertical alignment. Pavement Design: Pavement types, component parts of flexible and rigid pavements and their functions, ESWL and its determination (Graphical method only)-Examples.

• Module 3
  

  Pavement Materials: Sub grade soil-grade soil -desirable properties-HRB soil classification, determination of CBR and modulus of sub grade reaction with Problems. Aggregates- Desirable properties. Bituminous Binders & Mixes- Types, desirable properties. Pavement Quality concrete- Materials, Requirements.
  Pavement Construction: General features, Embankment and Subgrade, Construction of Flexible pavements, Construction of CC pavements

• Module 4
  

  Highway Drainage: Significance and requirements, Surface drainage system and Design-Examples, sub surface drainage system, design of filter materials, Types of cross drainage structures, their choice and location. Highway Economics: Highway user benefits, VOC using charts only-Examples, Economic analysis - annual Cost method-Benefit Cost Ratio method-NPV-IRR methods- Examples, Highway financing BOT-BOOT concepts

• Module 5
  

  Elements of Traffic Engineering – Traffic characteristics, Traffic Engineering Studies and Analysis, Traffic Regulation and Control. Elements of Railways and Airport Engineering - Railways: Introduction, classification of routes; railway gauge, coning of wheels and canting of rails, train resistance and hauling power; track components: rails, sleepers, fastenings, ballast and formation. Airports: Introduction, Layout of an airport with component parts and functions of each, Aircraft Characteristics – Airport Classifications, - Site selection- regional Planning. Orientation of runway by using wind rose diagram with examples

• Module 1
  

  Geographic Information System- Introduction, Functions and advantages, sources of data for GIS. Database – Types, advantages and disadvantages. Data Analysis.-overlay operations, network analysis, spatial analysis. Outputs and map generation. GPS- components and working principles.

• Module 2
  

  Applications of GIS, Remote Sensing and GPS: Water Resources engineering and management (prioritization of river basins, water perspective zones and its mapping), Highway and transportation (highway alignment, Optimization of routes, accident analysis), Environmental Engineering 2 (Geostatistical analysis of water quality, rainfall).

• Module 3
  

  Applications of GIS, Remote Sensing and GPS: Urban Planning & Management, urban sprawl, Change detection studies, forests and urban area, floods, drainage system agriculture, Disaster Management.

• Module 4
  

  QGIS
  Introduction: Definition of GIS and its use. Introduction to a free and open source desktop geographic information system software. Types of data (vector and raster formats), web services, useful commands and utilities for geo-processing, extending its capabilities to digital satellite image processing and analysis.
  
  About QGIS: Characteristics of QGIS Start using QGIS. QGIS TOOLS QGIS Configuration, General tools, Working with projections QGIS Browser. WORKING WITH RASTER DATA Introduction, Display raster data, Raster calculator, Working with images, Practical exercises: Working with raster data and operations with images.

• Module 5
  

  Create maps and related products: Creation tools, Graphic elements, Atlases generation, and Graphic output creations. Practical exercises: Map creation with QGIS. Teaching-Learning Process Chalk and talk, PowerPoint Presentation & PBL
  
  Relational database management systems and spatial data. Database design, Database connections, Table joins Spatial joins, generate new statistics and new data using table and spatial data information. Practical exercises: Creation of thematic maps like population data of taluk, Watershed map with drainage and water bodies, Highway with other 2 road intersection details

• Module 1
  

  Introduction to Indian Constitution: Definition of Constitution, Necessity of the Constitution, Societies before and after the Constitution adoption. Introduction to the Indian constitution, Making of the Constitution, Role of the Constituent Assembly. Preamble of Indian Constitution & Key concepts of the Preamble. Salient features of India Constitution.

• Module 2
  

  Fundamental Rights (FR’s), Directive Principles of State Policy (DPSP’s) and Fundamental Duties (FD’s): Fundamental Rights and its Restriction and limitations in different Complex Situations. DPSP’s and its present relevance in Indian society. Fundamental Duties and its Scope and significance in Nation building.

• Module 3
  

  Union Executive: Parliamentary System, Union Executive – President, Prime Minister, Union Cabinet, Parliament - LS and RS, Parliamentary Committees, Important Parliamentary Terminologies. Supreme Court of India, Judicial Reviews and Judicial Activism.

• Module 4
  

  State Executive & Elections, Amendments and Emergency Provisions: State Executive, Election Commission, Elections & Electoral Process. Amendment to Constitution (Why and How) and Important Constitutional Amendments till today. Emergency Provisions.

• Module 5
  

  Professional Ethics: Definition of Ethics & Values. Professional & Engineering Ethics. Positive and Negative aspects of Engineering Ethics.
  
  Cyber Laws: Salient features of the IT Act, 2000, various authorities under IT Act and their powers. ; Penalties & Offences, amendments.
  
  Computer & Cyber Security: (a) Types of Attacks, (b) Network Security (c) Overview of Security threats, (d) Hacking Techniques, (e) Password cracking (f) Insecure Network connections, (g) Malicious code (h) Concept of Fire wall Security