GATE Civil Engineering (CE) syllabus:
Section
1: Engineering Mathematics
Linear
Algebra: Matrix algebra; Systems of linear equations; Eigen values and
Eigen vectors.
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.
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.
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.
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.
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
2: Structural Engineering
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.
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.
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.
Construction
Materials and Management: Construction Materials: Structural steel - composition,
material properties and behaviour; 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.
Concrete
Structures: Working stress, Limit state and Ultimate load design concepts;
Design of beams, slabs, columns; Bond and development length; Pre-stressed
concrete; Analysis of beam sections at transfer and service loads.
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
3: Geotechnical Engineering
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.
Foundation
Engineering: Sub-surface investigations - scope, drilling bore holes,
sampling, plate load test, standard penetration and cone penetration tests;
Earth pressure theories - Rankine and Coulomb; Stability of slopes - finite and
infinite slopes, method of slices and 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
4: Water Resources Engineering
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.
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
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.
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
5: Environmental Engineering
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.
Air
Pollution: Types of pollutants, their sources and impacts, air pollution
meteorology, air pollution control, air quality standards and limits.
Municipal
Solid Wastes: Characteristics, generation, collection and transportation of
solid wastes, engineered systems for solid waste management (reuse/ recycle
energy recovery, treatment and disposal).
Noise
Pollution: Impacts of noise, permissible limits of noise pollution,
measurement of noise and control of noise pollution.
Section
6: Transportation Engineering
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.
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.
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
7: 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).