**Syllabus for Civil Engineering**

** 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.

**GENERAL APTITUDE(GA)****Verbal Ability: **English grammar, sentence

completion, verbal analogies, word groups,

instructions, critical reasoning and verbal

deduction.

**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

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.