General Aptitude
1. Verbal Ability: English grammar, sentence completion, verbal analogies, word
groups, instructions, critical reasoning and verbal deduction.
2. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
1. Verbal Ability: English grammar, sentence completion, verbal analogies, word
groups, instructions, critical reasoning and verbal deduction.
2. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
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 typesfoundation 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.
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