# (Syllabus) GATE 2011 : Examination Syllabus : (Civil Engineering)

**GATE 2011 : Examination Syllabus**

## :: CE- 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
and 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
and clays. Deep foundations – pile types, dynamic and static formulae, load
capacity of piles in sands and 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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