GATE syllabus for Civil Engineering

ENGINEERING MATHEMATICS

Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.

Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value
theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative,
Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives,
Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.

Differential equations: First order equations (linear and nonlinear), Higher order linear
differential equations with constant coefficients, Cauchy’s and Euler’s equations, Initial and
boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave
equations and Laplace equation.

Complex variables: Analytic functions, Cauchy’s integral theorem, Taylor and Laurent series.

Probability and Statistics: Definitions of probability and sampling theorems, Conditional
probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal
and Binomial distributions.

Numerical Methods: Numerical solutions of linear and non-linear algebraic equations
Integration by trapezoidal and Simpson’s rule, single and multi-step methods for differential
equations.

STRUCTURAL ENGINEERING

Mechanics: Bending moment and shear force in statically determinate beams. Simple stress and
strain relationship: Stress and strain in two dimensions, principal stresses, stress transformation,
Mohr’s circle. Simple bending theory, flexural and shear stresses, unsymmetrical bending, shear
centre. Thin walled pressure vessels, uniform torsion, buckling of column, combined and direct
bending stresses.

Structural Analysis: Analysis of statically determinate trusses, arches, beams, cables and
frames, displacements in statically determinate structures and analysis of statically indeterminate
structures by force/ energy methods, analysis by displacement methods (slope deflection and
moment distribution methods), influence lines for determinate and indeterminate structures.
Basic concepts of matrix methods of structural analysis.

Concrete Structures: Concrete Technology- properties of concrete, basics of mix design.
Concrete design- basic working stress and limit state design concepts, analysis of ultimate load
capacity and design of members subjected to flexure, shear, compression and torsion by limit
state methods. Basic elements of prestressed concrete, analysis of beam sections at transfer and
service loads.

Steel Structures: Analysis and design of tension and compression members, beams and beamcolumns,column bases. Connections- simple and eccentric, beam–column connections, plate
girders and trusses. Plastic analysis of beams and frames.

GEOTECHNICAL ENGINEERING

Soil Mechanics: Origin of soils, soil classification, three-phase system, fundamental definitions,
relationship and interrelationships, permeability &seepage, effective stress principle,
consolidation, compaction, shear strength.

Foundation Engineering: Sub-surface investigations- scope, drilling bore holes, sampling,
penetration tests, plate load test. Earth pressure theories, effect of water table, layered soils.
Stability of slopes-infinite slopes, finite slopes. Foundation types-foundation design
requirements. Shallow foundations-bearing capacity, effect of shape, water table and other
factors, stress distribution, settlement analysis in sands & clays. Deep foundations–pile types,
dynamic & static formulae, load capacity of piles in sands & clays, negative skin friction.

WATER RESOURCES ENGINEERING

Fluid Mechanics and Hydraulics: Properties of fluids, principle of conservation of mass,
momentum, energy and corresponding equations, potential flow, applications of momentum and
Bernoulli’s equation, laminar and turbulent flow, flow in pipes, pipe networks. Concept of
boundary layer and its growth. Uniform flow, critical flow and gradually varied flow in channels,
specific energy concept, hydraulic jump. Forces on immersed bodies, flow measurements in
channels, tanks and pipes. Dimensional analysis and hydraulic modeling. Kinematics of flow,
velocity triangles and specific speed of pumps and turbines.

Hydrology: Hydrologic cycle, rainfall, evaporation, infiltration, stage discharge relationships,
unit hydrographs, flood estimation, reservoir capacity, reservoir and channel routing. Well
hydraulics.

Irrigation: Duty, delta, estimation of evapo-transpiration. Crop water requirements. Design of:
lined and unlined canals, waterways, head works, gravity dams and spillways. Design of weirs
on permeable foundation. Types of irrigation system, irrigation methods. Water logging and
drainage, sodic soils.

ENVIRONMENTAL ENGINEERING

Water requirements: 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, sludge
disposal, 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.

TRANSPORTATION ENGINEERING

Highway Planning: Geometric design of highways, testing and specifications of paving
materials, design of flexible and rigid pavements.

Traffic Engineering: Traffic characteristics, theory of traffic flow, intersection design, traffic
signs and signal design, highway capacity.

SURVEYING

Importance of surveying, principles and classifications, mapping concepts, coordinate system,
map projections, measurements of distance and directions, leveling, theodolite traversing, plane
table surveying, errors and adjustments, curves.


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