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 Greens theorems.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential
equations with constant coefficients, Cauchys and Eulers equations, Initial and boundary value problems,
Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchys 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 Simpsons 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, Mohrs 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, beamcolumn 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 foundation 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 Bernoullis 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.
SURVAYING:
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.
