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, beamâ€"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 â€" 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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