Matrix algebra
Systems of linear equations
Eigen values and Eigen vectors
First order ( linear and non – linear ) equations
higher order linear equations with constant coefficients
Euler – Cauchy equations
Laplace transform and its application in solving linear ODEs
Initial and boundary value problems.
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
Partial derivatives
Total derivative
Gradient
Divergence and Curl, Vector identities
Directional derivatives
Line, Surface and Volume integrals
Stokes
Gauss and Green's theorems.
separation of variables
solutions of onedimensional diffusion equation
first and second order one – dimensional wave equation and two-dimensional Laplace equation.
Definitions of probability and sampling theorems
Conditional probability
Discrete Random variables
Poisson and Binomial distributions
Continuous random variables
normal and exponential distributions
Descriptive statistics – Mean, median, mode and standard deviation
Hypothesis testing.
Accuracy and precision
error analysis
Numerical solutions of linear and non – linear algebraic equations
Least square approximation
Newton's and Lagrange polynomials
numerical differentiation
Integration by trapezoidal and Simpson's rule
single and multi – step methods for first order differential equations.
System of forces
free – body diagrams
equilibrium equations
Internal forces in structures
Friction and its applications
Kinematics of point mass and rigid body
Centre of mass
Euler's equations of motion
Impulse – momentum
Energy methods
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
Displacement methods
Slope deflection and moment distribution methods
Influence lines
Stiffness and flexibility methods of structural analysis.
Construction Materials
Structural steel – composition
material properties and behavior
Concrete – constituents
mix design
short – term and long – term properties
Bricks and mortar
Timber
Bitumen
Construction Management
Types of construction projects
Tendering and construction contracts
Rate analysis and standard specifications
Cost estimation
Project planning and network analysis – PERT and CPM
Working stress
Limit state and Ultimate load design concepts
Design of beams
Slabs
Columns
Bond and development length
Prestressed concrete
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
beam-column connections
plate girders and trusses
Plastic analysis of beams and frames
Origin of soils
soil structure and fabric
Three – phase system and phase relationships
index properties
Unified and Indian standard soil classification system
Permeability – one dimensional flow
Darcy's law
Seepage through soils – two – dimensional flow
flow nets
uplift pressure,
piping
Principle of effective stress
Capillarity
seepage force and quicksand condition
Compaction in laboratory and field conditions
One dimensional consolidation
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
pressure bulbs
Shallow foundations – Terzaghi's and Meyerhoff's bearing capacity theories
effect of water table
Combined footing and raft foundation
Contact pressure
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
Properties of fluids
fluid statics
Continuity
Momentum
energy and corresponding equations;
Potential flow,
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
specific energy
critical flow,
slope profile
hydraulic jump
uniform flow and gradually varied flow
Hydrologic cycle
Precipitation
Evaporation
evapo – transpiration
watershed
infiltration
unit hydrographs
hydrograph analysis
flood estimation and routing
reservoir capacity
reservoir and channel routing
surface run-off models
ground water hydrology – steady state well hydraulics and aquifers
Application of Darcy's law
Duty
Delta
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
irrigation methods
Water logging and drainage
Canal regulatory works
cross-drainage structures
outlets and escapes
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
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
Types of pollutants, their sources and impacts
air pollution meteorology
air pollution control
air quality standards and limits
Characteristics
Generation
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
Highway alignment and engineering surveys
Geometric design of highways – cross – sectional elements
sight distances
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
ccident study and analysis
statistical analysis of traffic data
Microscopic and macroscopic parameters of traffic flow
fundamental relationships
Control devices
signal design by Webster's method
Types of intersections and channelization
Highway capacity and level of service of rural highways and urban roads
Principles of surveying
Errors and their adjustment
Maps – scale
coordinate system
Distance and angle measurement – Levelling and trigonometric leveling
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 ).
Free and forced vibrations of the single degree and multi degree freedom systems.
Concept and use of computer aided design.
Earthquake & resistant design of structure.
Power house classifications and layout, storage, pondage and control of supply.
Properties and uses of geo – synthesis.
Principles of ground modification
Survey layout for culverts, canal, bridges, road/railways alignment and Buildings.
Maintenance practices for railway systems, track Modernization.
Docks and Harbors,
Tunneling
Glass, plastic, FPR, Ceramics, Aluminum, Fly ash