G.A.T.E. Syllabus For Civil Engineering Students
Syllabus For 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
&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
& 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.