**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.

**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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