Civil Engineering is one of the oldest branch of Engineering.
Following is the syllabus for Gate Exam 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 nonlinear algebraic equations Integration by trapezoidal and Simpson’s
rule, single and multistep 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 beam columns, 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, threephase system, fundamental definitions, relationship and
interrelationships, permeability & seepage, effective stress principle, consolidation, compaction, shear strength.
Foundation Engineering: Subsurface investigations scope, drilling bore holes, sampling, penetration tests, plate load test.
Earth pressure theories, effect of water table, layered soils. Stability of slopesinfinite slopes, finite slopes. Foundation
typesfoundation design requirements. Shallow foundationsbearing 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 evapotranspiration. 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.
For more information refer: http://gate.iitk.ac.in/
