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GATE Civil Engineering Syllabus
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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