GATE Syllabus for Civil Engineering
Probability and Statistics: Mode and standard deviation, poisson, normal and binomial distributions, random variables, definition of probability and sampling theorems, mean, median, conditional probability.
Differential Equations: Cauchyís and Eulerís equations, Laplace transforms, initial and boundary value problems, wave equations and Laplace equation and solutions of one dimensional heat, higher order linear differential equations with constant coefficients, first order equations (linear and non-linear).
Calculus: Maxima and minima, vector identities, Gradient, Curl and Divergence, directorial derivatives, surface, line and volume integrals, Gauss and Greenís theorems, Stokes, function of single variable, continuity, limit and differentiability, partial derivatives, mean value theorems, evaluation of definite and improper integrals.
Numerical Methods: Integration by trapezoidal and Simpsonís rule, single and multi-step methods for differential equations, numerical solutions of linear and non-linear algebraic equations.
Linear Algebra: Systems of linear equations, matrix algebra, eigen values and eigenvectors, determinants.
Complex variables: Cauchyís integral theorem, analytic functions, Taylor and Laurent series.
Structural Analysis: Influence lines for determinate and indeterminate structures, analysis by displacement methods (slope deflection and moment distribution methods), analysis of statically determinate trusses, beams, arches, displacements in statically determinate structures and analysis of statically indeterminate structures by force/energy methods, cables and frames.
Steel Structures: Connection-simple and eccentric, plastic analysis of frames and beams, beams column connections, trusses and plate girders, analysis and design of compression members and tension, column bases, beams and beam-columns.
Mechanics: Mohrís circle, flexural and shear stresses, simple bending theory, unsystematically bending, thin walled pressure vessels, shear centre, combined and direct bending stresses, buckling of column, bending moment and shear force in statically determinate beams, stress transformation.
Concrete Structures: Analysis of ultimate load capacity and design of members subjected to flexure, compression and torsion by limit stage methods, shear, basic elements of pressed concrete, concrete technology-properties of concrete, analysis of beam sections at transfer and service loads, concrete design Ėbasic working stress and limit stage design.
Foundation engineering: Shallow foundation-bearing capacity, effect of water table, shape and other factors, settlement analysis in clays and sands, stress distribution, deep foundations-pile types, dynamic and static formulae, native skin friction, load capacity of piles in sands and clays, foundation types-foundation design requirements, sub-surface investigations-scope, sampling, drilling bore holes, plate load test, penetration tests, earth pressure theories, layered soil, effect of water table, finite slopes, stability of slope-infinite slopes.
Soil Mechanics: Relationship and interrelationships, effective stress principle, permeability and seepage, shear strength origin of soils, compaction, soil classification, consolidation, fundamental definitions, three-phase system.
Water Resources Engineering
Hydrology: Flood estimation, reservoir and channel routing, reservoir capacity, well hydraulics, hydrologic cycle, evaporation, rainfall unit hydrographs, stage discharge relationship, infiltration.
Irrigation: Waterways, gravity dams and spillways, head works, design of weirs on permeable foundation, duty, types of irrigation system, delta, irrigation methods, sodic soils, water logging and drainage, estimation of evapo-transpiration, design of lined and unlined canals, crop water requirements.
Fluid Mechanics and Hydraulics: Concept of boundary layer and its growth, critical flow and gradually varied flow in channels, uniform flow, specific energy concept, forces on immersed bodies, hydraulic jump, flow measurements in channels, pipes and tanks, velocity triangles and specific speed of pumps and turbines. Dimensional analysis and hydraulic modeling, properties of fluids, momentum , principle of conservation of mass, energy and corresponding equations, kinematics of flow, potential flow, pipe networks, laminar and turbulent flow, applications of momentum and Bernoulliís equation, flow in pipe.
Air pollution: Air pollution control, air pollution meteorology, types of pollutions, air quality standards and limits, resources of air pollution and impacts.
Noise pollution: Permissible limits of noise pollution, measurement of noise and control of noise, impacts of noise.
Water requirements: Primary, secondary and tertiary treatment of wastewater, effluent discharge standards, sludge disposal, domestic wastewater treatment, sludge disposal, primary and secondary treatment unit operations and unit processes of domestic wastewater, quality standards, drinking water standards, basic unit processes and operations for water treatment, water requirements, characteristics and quantity of wastewater, distribution of water, sewage and sewerage treatment, basic unit operations and unit processes for surface water treatment
Municipal Solid Wastes: Collection and transportation of solid wastes, characteristics, engineered systems for solid waste management (energy recovery, recycle/reuse, disposal and treatment.) generation.
Traffic Engineering: Traffic signs and signal design, traffic characteristics, highway capacity, theory of traffic flow, intersection design.
Highway Planning: Testing and specifications of paving materials, geometric design of highways, design of rigid and flexible pavements.
Map projections, principles and classifications, measurements of distance and directions, importance of surveying, leveling, plane table surveying, curves, errors and adjustments, coordinate system, theodolite traversing.