Tuesday, September 24, 2013
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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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