GATE Syllabus for Civil Engineering (CE)

Syllabus for Civil Engineering (CE)

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.