**GATE Civil Engineering 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.

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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;
Prestressed 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.

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