GATE 2015 SYLLABUS FOR Civil Engineering (CE)
GATE 2015 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.
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, three-phase
system, fundamental definitions,
relationship and interrelationships, permeability
&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
analysisinsands& 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 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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