GATE SYLLABUS 2017
CIVIL
ENGINEERING - CE
SECTION 1: ENGINEERING
MATHEMATICS
Linear Algebra: Matrix algebra; Systems of linear
equations; Eigen values and Eigen vectors
Calculus: Functions of single variable; Limit,
continuity and differentiability; Mean value theorems, local maxima and minima,
Taylor and Maclaurin series; Evaluation of definite and indefinite integrals,
application of definite integral to obtain area and volume; Partial
derivatives; Total derivative; Gradient, Divergence and Curl, Vector
identities, Directional derivatives, Line, Surface and Volume integrals,
Stokes, Gauss and Green’s theorems.
Ordinary Differential equations (ODE): First order (linear and non-linear)
equations; higher order linear equations with constant coefficients;
Euler-Cauchy equations; Laplace transform and its application in solving linear
ODEs; initial and boundary value problems
Partial Differential Equation (PDE): Fourier series; separation of
variables; solutions of one-dimensional diffusion equation; first and second
order one-dimensional wave equation and two-dimensional Laplace equation
Probability and Statistics: Definitions of probability and
sampling theorems; Conditional probability; Discrete Random variables: Poisson
and Binomial distributions; Continuous random variables: normal and exponential
distributions; Descriptive statistics - Mean, median, mode and standard
deviation; Hypothesis testing.
Numerical Methods: Accuracy and precision; error
analysis. Numerical solutions of linear and non-linear algebraic equations;
Least square approximation, Newton’s and Lagrange polynomials, numerical
differentiation, Integration by trapezoidal and Simpson’s rule, single and
multi-step methods for first order differential equations.
GENERAL APTITUDE (GA):
Verbal Ability: English grammar, sentence completion,
verbal analogies, word groups, instructions, critical reasoning and verbal
deduction.
SECTION 2: STRUCTURAL
ENGINEERING
Engineering Mechanics: System of forces, free-body diagrams,
equilibrium equations; Internal forces in structures; Friction and its
applications; Kinematics of point mass and rigid body; Centre of mass; Euler’s
equations of motion; Impulse-momentum; Energy methods; Principles of virtual
work
Solid Mechanics: Bending moment and shear force in
statically determinate beams; Simple stress and strain relationships; Theories
of failures; Simple bending theory, flexural and shear stresses, shear centre;
Uniform torsion, buckling of column, combined and direct bending stresses.
Structural Analysis: Statically determinate and
indeterminate structures by force/ energy methods; Method of superposition;
Analysis of trusses, arches, beams,cables and frames; Displacement methods:
Slope deflection and moment distribution methods; Influence lines; Stiffness
and flexibility methods of structural analysis
Construction Materials and Management:
Construction
Materials: Structural steel - composition, material properties and behaviour;
Concrete - constituents, mixdesign, short-term and long-term properties; Bricks
and mortar; Timber; Bitumen. Construction Management: Types of construction
projects; Tendering and construction contracts; Rate analysis and standard
specifications; Cost estimation; Project planning and network analysis -PERT
and CPM.
Concrete Structures: Working stress, Limit state and
Ultimate load design concepts; Design of beams, slabs, columns; Bond and
development length; Prestressed concrete; Analysis of beam sections at transfer
and service loads
Steel Structures: Working stress and Limit state design
concepts; 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.
SECTION 3: GEOTECHNICAL
ENGINEERING
Soil Mechanics: Origin of soils, soil structure and
fabric; Three-phase system and phase relationships, index properties; Unified
and Indian standard soil classification system; Permeability -one dimensional
flow, Darcy’s law; Seepage through soils -two-dimensional flow, flow nets,
uplift pressure, piping; Principle of effective stress, capillarity, seepage
force and quicksand condition; Compaction in laboratory and field conditions;
One-dimensional consolidation, time rate of consolidation; Mohr’s circle,
stress paths, effective and total shear strength parameters, characteristics of
clays and sand.
Foundation Engineering: Sub-surface investigations -scope,
drilling bore holes, sampling, plate load test, standard penetration and cone
penetration tests; Earth pressure theories-Rankine and Coulomb; Stability of
slopes -finite and infinite slopes, method of slices and Bishop’s method;
Stress distribution in soils -Boussinesq’s and Westergaard’s theories, pressure
bulbs; Shallow foundations -Terzaghi’s and Meyerhoff’s bearing capacity
theories, effect of water table; Combined footing and raft foundation; Contact
pressure; Settlement analysis in sands and clays; Deep foundations -types of
piles, dynamic and static formulae, load capacity of piles in sands and clays,
pile load test, negative skin friction.
SECTION 4: WATER
RESOURCES ENGINEERING
Fluid Mechanics and Hydraulics: Properties of fluids, fluid statics;
Continuity, momentum, energy and corresponding equations; Potential flow, applications
of momentum and energy equations; Laminar and turbulent flow; Flow in pipes,
pipe networks; Concept of boundary layer and its growth.
Hydraulics: Forces on immersed bodies; Flow
measurement in channels and pipes; Dimensional analysis and hydraulic
similitude; Kinematics of flow, velocity triangles; Basics of hydraulic
machines, specific speed of pumps and turbines; Channel Hydraulics
-Energy-depth relationships, specific energy, critical flow, slope profile,
hydraulic jump, uniform flow and gradually varied flow
Hydrology: Hydrologic cycle, precipitation,
evaporation, evapo-transpiration, watershed, infiltration, unit hydrographs,
hydrograph analysis, flood estimation and routing, reservoir capacity,
reservoir and channel routing, surface run-off models, ground water hydrology
-steady state well hydraulics and aquifers; Application of Darcy’s law.
Irrigation: Duty, delta, estimation of
evapo-transpiration; Crop water requirements; Design of lined and unlined
canals, head works, gravity dams and spillways; Design of weirs on permeable
foundation; Types of irrigation systems, irrigation methods; Water logging and
drainage; Canal regulatory works, cross-drainage structures, outlets and
escapes
SECTION 5: ENVIRONMENTAL
ENGINEERING
Water and Waste Water: 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, 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.
SECTION 6:
TRANSPORTATION ENGINEERING
Transportation Infrastructure: Highway alignment and engineering
surveys; Geometric design of highways -cross-sectional elements, sight
distances, horizontal and vertical alignments; Geometric design of railway
track; Airport runway length, taxiway and exit taxiway design.
Highway Payments: Highway materials -desirable
properties and quality control tests; Design of bituminous paving mixes; Design
factors for flexible and rigid pavements; Design of flexible pavement using
IRC: 37-2012; Design of rigid pavements using IRC: 58-2011; Distresses in
concrete pavements
Traffic Engineering: Traffic studies on flow, speed, travel
time -delay and O-D study, PCU, peak hour factor, parking study, accident study
and analysis, statistical analysis of traffic data; Microscopic and macroscopic
parameters of traffic flow, fundamental relationships; Control devices, signal
design by Webster’s method; Types of intersections and channelization; Highway
capacity and level of service of rural highways and urban roads
SECTION 7: GEOMATICS ENGINEERING
Principles
of surveying; Errors and their adjustment; Maps -scale, coordinate system;
Distance and angle measurement -Levelling and trigonometric levelling;
Traversing and triangulation survey; Total station; Horizontal and vertical
curves. Photogrammetry -scale, flying height; Remote sensing -basics, platform
and sensors, visual image interpretation; Basics of Geographical information
system (GIS) and Geographical Positioning system (GPS).
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