GATE Civil Engineering Syllabus


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Subject Code: CE

Course Structure

Sections/Units Topics
Section A Engineering Mathematics
Unit 1 Linear Algebra
Unit 2 Calculus
Unit 3 Ordinary Differential Equation (ODE)
Unit 4 Partial Differential Equation (PDE)
Unit 5 Probability and Statistics
Unit 6 Numerical Methods
Section B Structural Engineering
Unit 1 Engineering Mechanics
Unit 2 Solid Mechanics
Unit 3 Structural Analysis
Unit 4 Construction Materials and Management
Unit 5 Concrete Structures
Unit 6 Steel Structures
Section C Geotechnical Engineering
Unit 1 Soil Mechanics
Unit 2 Foundation Engineering
Section D Water Resources Engineering
Unit 1 Fluid Mechanics
Unit 2 Hydraulics
Unit 3 Hydrology
Unit 4 Irrigation
Section E Environmental Engineering
Unit 1 Water and Waste Water
Unit 2 Air Pollution
Unit 3 Municipal Solid Wastes
Unit 4 Noise Pollution
Section F Transportation Engineering
Unit 1 Transportation Infrastructure
Unit 2 Highway Pavements
Unit 3 Traffic Engineering
Section G Geomatics Engineering

Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

  • Matrix algebra
  • Systems of linear equations
  • Eigen values and Eigen vectors

Unit 2: Calculus

  • Functions of single variable
  • Limit, continuity and differentiability
  • Mean value theorems
  • Local maxima and minima
  • Taylor and Maclaurin series
  • Evaluation of definite and indefinite integrals
  • application of definite integral to obtain area and volume
  • Partial derivatives
  • Total derivative
  • Gradient
  • Divergence and Curl
  • Vector identities
  • Directional derivatives
  • Line
  • Surface and Volume integrals
  • Stokes
  • Gauss and Green’s theorems

Unit 3: Ordinary Differential Equation (ODE)

  • First order (linear and non-linear) equations
  • higher order linear equations with constant coefficients
  • Euler-Cauchy equations
  • Laplace transform and its application in solving linear ODEs
  • Initial and boundary value problems

Unit 4: Partial Differential Equation (PDE)

  • Fourier series

  • separation of variables

  • solutions of one dimensional diffusion equation

  • First and second order one-dimensional wave equation and two-dimensional Laplace equation.

Unit 5: Probability and Statistics

  • Definitions of probability and sampling theorems
  • Conditional probability
  • Discrete Random variables
  • Poisson and Binomial distributions
  • Continuous random variables
  • Normal and exponential distributions
  • Descriptive statistics - Mean, median, mode and standard deviation
  • Hypothesis testing

Unit 6: Numerical Methods

  • Accuracy and precision; error analysis
  • Numerical solutions of linear and non-linear algebraic equations
  • Least square approximation
  • Newton’s and Lagrange polynomials
  • numerical differentiation
  • Integration by trapezoidal and Simpson’s rule
  • Single and multi-step methods for first order differential equations

Section B: Structural Engineering

Unit 1: Engineering Mechanics

  • System of forces, free-body diagrams, equilibrium equations
  • Internal forces in structures
  • Friction and its applications
  • Kinematics of point mass and rigid body
  • Centre of mass
  • Euler’s equations of motion
  • Impulse-momentum
  • Energy methods
  • Principles of virtual work

Unit 2: Solid Mechanics

  • Bending moment and shear force in statically determinate beams
  • Simple stress and strain relationships
  • Theories of failures
  • Simple bending theory, flexural and shear stresses, shear centre
  • Uniform torsion, buckling of column, combined and direct bending stresses

Unit 3: Structural Analysis

  • Statically determinate and indeterminate structures by force/ energy methods

  • Method of superposition

  • Analysis of trusses, arches, beams, cables and frames

  • Displacement methods −

    • Slope deflection and moment distribution methods

  • Influence lines

  • Stiffness and flexibility methods of structural analysis

Unit 4: Construction Materials and Management

  • Construction Materials −

    • Structural steel – composition

    • Material properties and behavior

  • Concrete - constituents −

    • Mix design

    • Short-term and long-term properties

    • Bricks and mortar

    • Timber

    • Bitumen

  • Construction Management −

    • Types of construction projects

    • Tendering and construction contracts

    • Rate analysis and standard specifications

    • Cost estimation

    • Project planning and network analysis - PERT and CPM

Unit 5: Concrete Structures

  • Working stress, Limit state and Ultimate load design concepts
  • Design of beams, slabs, columns
  • Bond and development length
  • Prestressed concrete
  • Analysis of beam sections at transfer and service loads

Unit 6: Steel Structures

  • Working stress and Limit state design concepts

  • Design of tension and compression members, beams and beam- columns, column bases

  • Connections – simple and eccentric, beam-column connections, plate girders and trusses

  • Plastic analysis of beams and frames

Section C: Geotechnical Engineering

Unit 1: Soil Mechanics

  • Origin of soils, soil structure and fabric

  • Three-phase system and phase relationships, index properties

  • Unified and Indian standard soil classification system

  • Permeability - one dimensional flow, Darcy’s law

  • Seepage through soils - two-dimensional flow, flow nets, uplift pressure, piping

  • Principle of effective stress, capillarity, seepage force and quicksand condition

  • Compaction in laboratory and field conditions

  • One dimensional consolidation, time rate of consolidation

  • Mohr’s circle, stress paths, effective and total shear strength parameters, characteristics of clays and sand

Unit 2: Foundation Engineering

  • Sub-surface investigations −
    • Scope
    • Drilling bore holes
    • Sampling
    • Plate load test
    • Standard penetration
    • Cone penetration tests
  • Earth pressure theories - Rankine and Coulomb
  • Stability of slopes −
    • Finite and infinite slopes
    • Method of slices
    • Bishop’s method
  • Stress distribution in soils −
    • Boussinesq’s and Westergaard’s theories
    • Pressure bulbs
  • Shallow foundations −
    • Terzaghi’s and Meyerhoff’s bearing capacity theories
    • Effect of water table
  • Combined footing and raft foundation
  • Contact pressure
  • Settlement analysis in sands and clays
  • Deep foundations −
    • Types of piles
    • Dynamic and static formulae
    • Load capacity of piles in sands and clays
    • Pile load test
    • Negative skin friction

Section D: Water Resources Engineering

Unit 1: Fluid Mechanics

  • Properties of fluids, fluid statics
  • Continuity, momentum, energy and corresponding equations
  • Potential flow, applications of momentum and energy equations
  • Laminar and turbulent flow
  • Flow in pipes, pipe networks
  • Concept of boundary layer and its growth

Unit 2: Hydraulics

  • Forces on immersed bodies
  • Flow measurement in channels and pipes
  • Dimensional analysis and hydraulic similitude
  • Kinematics of flow, velocity triangles
  • Basics of hydraulic machines, specific speed of pumps and turbines
  • Channel Hydraulics −
    • Energy-depth relationships
    • Specific energy
    • Critical flow
    • Slope profile
    • Hydraulic jump
    • Uniform flow and gradually varied flow

Unit 3: Hydrology

  • Hydrologic cycle
  • Precipitation
  • Evaporation
  • Evapo-transpiration
  • Watershed
  • Infiltration
  • Unit hydrographs
  • Hydrograph analysis
  • Flood estimation and routing
  • Reservoir capacity
  • Reservoir and channel routing
  • Surface run-off models
  • Ground water hydrology - steady state well hydraulics and aquifers
  • Application of darcy’s law

Unit 4: Irrigation

  • Duty, delta, estimation of evapo-transpiration
  • Crop water requirements
  • Design of lined and unlined canals, head works, gravity dams and spillways
  • Design of weirs on permeable foundation
  • Types of irrigation systems, irrigation methods
  • Water logging and drainage
  • Canal regulatory works, cross-drainage structures, outlets and escapes

Section E: Environmental Engineering

Unit 1: Water and Waste Water

  • Quality standards, basic unit processes and operations for water treatment

  • Drinking water standards −

    • Water requirements

    • Basic unit operations and unit processes for surface water treatment

    • Distribution of water

  • Sewage and sewerage treatment, quantity and characteristics of wastewater

  • Primary, secondary and tertiary treatment of wastewater, effluent discharge standards

  • Domestic wastewater treatment −

    • Quantity of characteristics of domestic wastewater

    • Primary and secondary treatment

  • Unit operations and unit processes of domestic wastewater −

    • Sludge disposal

Unit 2: Air Pollution

Types of pollutants, their sources and impacts, air pollution meteorology, air pollution control, air quality standards and limits

Unit 3: Municipal Solid Wastes

  • Characteristics

  • Generation

  • Collection and transportation of solid wastes

  • Engineered systems for solid waste management (reuse/ recycle, energy recovery, treatment and disposal)

Unit 4: Noise Pollution

  • Impacts of noise
  • Permissible limits of noise pollution
  • Measurement of noise
  • Control of noise pollution

Section F: Transportation Engineering

Unit 1: Transportation Infrastructure

  • Highway alignment and engineering surveys
  • Geometric design of highways −
    • Cross-sectional elements
    • Sight distances
    • Horizontal and vertical alignments
  • Geometric design of railway track
  • Airport runway length, taxiway and exit taxiway design

Unit 2: Highway Pavements

  • Highway materials - desirable properties and quality control tests
  • Design of bituminous paving mixes
  • Design factors for flexible and rigid pavements
  • Design of flexible pavement using IRC: 37-2012
  • Design of rigid pavements using IRC: 58-2011
  • Distresses in concrete pavements

Unit 3: Traffic Engineering

  • Traffic studies on flow, speed, travel time - delay and O-D study, PCU, peak hour factor, parking study, accident study and analysis, statistical analysis of traffic data

  • Microscopic and macroscopic parameters of traffic flow, fundamental relationships

  • Control devices, signal design by Webster’s method

  • Types of intersections and channelization

  • Highway capacity and level of service of rural highways and urban roads

Section G: Geomatics Engineering

  • Principles of surveying

  • Errors and their adjustment

  • Maps - scale, coordinate system

  • Distance and angle measurement - Levelling and trigonometric levelling

  • Traversing and triangulation survey

  • Total station

  • Horizontal and vertical curves

  • Photogrammetry:

    • Scale, flying height

    • Remote sensing - basics, platform and sensors, visual image interpretation

    • Basics of Geographical information system (GIS) and Geographical Positioning system (GPS)

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