GATE Civil Engineering Syllabus

Subject Code: CE

Course Structure

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)

To download pdf Click here.