Section 1: Engineering Mathematics
Systems of linear equations;
Eigen values and Eigen vectors.
Functions of single variable;
Limit, continuity and differentiability;
Mean value theorems,
local maxima and minima,
Taylor and Maclaurin series;
Evaluation of definite and indefinite integrals,
application of definite integral to obtain area and volume;
Divergence and Curl,
Line, Surface and Volume integrals,
Stokes, Gauss and Green’s theorems.
Ordinary Differential Equation (ODE):
First order (linear and non-linear) equations;
higher order linear equations with constant coefficients;
Laplace transform and its application in solving linear ODEs;
initial and boundary value problems.
Partial Differential Equation (PDE):
separation of variables;
solutions of one-dimensional diffusion equation;
first and second order one-dimensional wave equation and two-dimensional Laplace equation.
Probability and Statistics:
Definitions of probability and sampling theorems;
Discrete Random variables:
Poisson and Binomial distributions;
Continuous random variables:
normal and exponential distributions;
Descriptive statistics - Mean, median, mode and standard deviation;
Accuracy and precision,
Numerical solutions of linear and non-linear algebraic equations;
Least square approximation,
Newton’s and Lagrange’s polynomials,
Integration by trapezoidal and Simpson’s rule,
single and multi-step methods for first order differential equations.
Section 2: Structural Engineering
System of forces,
Internal forces in structures;
Friction and its applications;
Kinematics of point mass and rigid body;
Centre of mass;
Euler’s equations of motion;
Principles of virtual work.
Bending moment and shear force in statically determinate beams;
Simple stress and strain relationships;
Theories of failures;
Simple bending theory,
flexural and shear stresses,
shear centre; Uniform torsion,
buckling of column,
combined and direct bending stresses.
Statically determinate and indeterminate structures by force/ energy methods;
Method of superposition;
Analysis of trusses, arches, beams, cables and frames;
Slope deflection and moment distribution methods;
Stiffness and flexibility methods of structural analysis.
Construction Materials and Management:
Structural steel - composition, material properties and behaviour ;
Concrete - constituents, mix design, short-term and long-term properties;
Bricks and mortar; Timber; Bitumen.
Types of construction projects;
Tendering and construction contracts;
Rate analysis and standard specifications;
Project planning and network analysis - PERT and CPM.
Limit state and Ultimate load design concepts;
Design of beams, slabs, columns;
Bond and development length;
Analysis of beam sections at transfer and service loads.
Working stress and Limit state design concepts;
Design of tension and compression members,
beams and beam- columns, column bases;
Connections - simple and eccentric,
plate girders and trusses;
Plastic analysis of beams and frames.
Section 3: Geotechnical Engineering
Origin of soils,
soil structure and fabric;
Three-phase system and phase relationships,
Unified and Indian standard soil classification system;
Permeability - one dimensional flow,
Seepage through soils - two-dimensional flow,
uplift pressure, piping;
Principle of effective stress,
seepage force and quicksand condition;
Compaction in laboratory and field conditions;
time rate of consolidation;
Mohr’s circle, stress paths,
effective and total shear strength parameters,
characteristics of clays and sand.
Sub-surface investigations - scope,
drilling bore holes, sampling, plate load test,
standard penetration and cone penetration tests;
Earth pressure theories - Rankine and Coulomb;
Stability of slopes - finite and infinite slopes,
method of slices and Bishop’s method;
Stress distribution in soils - Boussinesq’s and Westergaard’s theories,
Shallow foundations - Terzaghi’s and Meyerhoff’s bearing capacity theories,
effect of water table;
Combined footing and raft foundation;
Settlement analysis in sands and clays;
Deep foundations - types of piles,
dynamic and static formulae,
load capacity of piles in sands and clays,
pile load test,
negative skin friction.
Section 4: Water Resources Engineering
Properties of fluids,
Continuity, momentum, energy and corresponding equations;
applications of momentum and energy equations;
Laminar and turbulent flow;
Flow in pipes, pipe networks;
Concept of boundary layer and its growth.
Forces on immersed bodies;
Flow measurement in channels and pipes;
Dimensional analysis and hydraulic similitude;
Kinematics of flow, velocity triangles;
Basics of hydraulic machines,
specific speed of pumps and turbines;
Channel Hydraulics - Energy-depth relationships,
uniform flow and gradually varied flow.
flood estimation and routing,
reservoir and channel routing,
surface run-off models,
ground water hydrology - steady state well hydraulics and aquifers;
Application of Darcy’s law.
estimation of evapo-transpiration;
Crop water requirements;
Design of lined and unlined canals,
head works, gravity dams and spillways;
Design of weirs on permeable foundation;
Types of irrigation systems,
Water logging and drainage;
Canal regulatory works,
outlets and escapes.
Section 5: Environmental Engineering
Water and Waste Water:
basic unit processes and operations for water treatment.
Drinking water standards,
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,
effluent discharge standards.
Domestic wastewater treatment,
quantity of characteristics of domestic wastewater,
primary and secondary treatment.
Unit operations and unit processes of domestic wastewater,
Types of pollutants,
their sources and impacts,
air pollution meteorology,
air pollution control,
air quality standards and limits.
Municipal Solid Wastes:
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.
Section 6: Transportation Engineering
Highway alignment and engineering surveys;
Geometric design of highways - cross-sectional elements,
horizontal and vertical alignments;
Geometric design of railway track;
Airport runway length,
taxiway and exit taxiway design.
Highway materials - desirable properties and quality control tests;
Design of bituminous paving mixes;
Design factors for flexible and rigid pavements;
Design of flexible pavement using IRC: 37-2012;
Design of rigid pavements using IRC: 58-2011;
Distresses in concrete pavements.
Traffic studies on flow, speed,
travel time - delay and O-D study,
PCU, peak hour factor,
parking study, accident study and analysis,
statistical analysis of traffic data;
Microscopic and macroscopic parameters of traffic flow,
signal design by Webster’s method;
Types of intersections and channelization;
Highway capacity and level of service of rural highways and urban roads.
Section 7: Geomatics Engineering
Principles of surveying;
Errors and their adjustment;
Maps - scale, coordinate system;
Distance and angle measurement - Levelling and trigonometric levelling;
Traversing and triangulation survey;
Total station; Horizontal and vertical curves.
Photogrammetry - scale, flying height;
Remote sensing - basics, platform and sensors, visual image interpretation;
Basics of Geographical information system (GIS) and Geographical Positioning system (GPS).