Syllabus for Civil Engineering (CE)
Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
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.
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.
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
Numerical solutions of linear and non-linear algebraic equations Integration by
trapezoidal and Simpson's rule, single and multi-step methods for differential
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
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
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.
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.
of soils, soil classification, three-phase system, fundamental definitions,
relationship and interrelationships, permeability & seepage, effective stress
principle, consolidation, compaction, shear strength.
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.
Hydrologic cycle, rainfall, evaporation, infiltration, stage discharge
relationships, unit hydrographs, flood estimation, reservoir capacity, reservoir
and channel routing. Well hydraulics.
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.
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.
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).
Impacts of noise, permissible limits of noise pollution, measurement of noise
and control of noise pollution.
Geometric design of highways, testing and specifications of paving materials,
design of flexible and rigid pavements.
Traffic characteristics, theory of traffic flow, intersection
design, traffic signs and signal design, highway capacity.
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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