GATE 2013 - 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.
- GENERAL APTITUDE(GA):
- Verbal Ability:
- English grammar,
- sentence completion,
- verbal analogies,
- word groups, instructions,
- critical reasoning and verbal deduction.
- Linear Algebra:
-
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.
- Mechanics:
-
Geotechnical Engineering
- Soil Mechanics:
- Origin of soils,
- soil classification,
- three-phase system, f
- undamental definitions,
- relationship and interrelationships,
- permeability & seepage,
- effective stress principle, c
- onsolidation,
- 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, l
- ayered 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.
- Soil Mechanics:
-
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.
- Fluid Mechanics and Hydraulics:
-
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.
- Water requirements:
-
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.
- Highway Planning:
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