**1. Engineering Mechanics **: Units
and Dimensions, SI Units, Vectors, Concept of Force, Concept of particle and
rigid body. Concurrent, nonconcurrent and parallel forces in a plane, moment of
force and Varignon's theorem, free body diagram, conditions of equilibrium,
Principle of virtual work, equivalent force system.

First and Second Moments of area, Mass moment of Inertia.

Static Friction Inclined plane and bearings.

Kinematics and Kinetics : Kinematics in cartesian and polar co-ordinates, motion under uniform and nonuniform acceleration, motion under gravity. Kinetics of particle : Momentum and Energy principles, D `Alembert's Principle, Collision of elastic bodies, rotation of rigid bodies, simple harmonic motion.

2. **Strength of Materials **:
Simple Stress and Strain, Elastic constants, axially loaded compression members,
Shear force and bending moment, theory of simple bending, Shear Stress
distribution across cross sections, Beams of uniform strength, Leaf spring,
Strain Energy in direct stress, bending and shear.

**Deflection of beams **: Macaulay's
method, Mohr's moment area method, Conjugate beam method, unit load method.
Torsion of Shafts, Transmission of power, closecoiled helical springs, Elastic
stability of columns : Euler's, Rankine's and Secant formulae. Principal
Stresses and Strains in two dimensions, Mohr's Circle. Theories of Elastic
Failure, Thin and Thick cylinders : Stresses due to internal and external
pressures-Lame's equation.

3. **Structural Analysis** :
Analysis of pin jointed plane trusses, deflection in trusses. Three hinged and
two hinged arches, rib shortening, temperature effects, influence lines in
arches. Analysis of propped cantilevers, fixed beams, continuous beams and rigid
frames. Slope deflection, moment distribution,, Kani's method and Matrix method
: Force and Displacement methods. Rolling loads and influece lines for
determinate beams and pin jointed trusses.

**Geotechnical Engineering: **Types
of soil, field identification and classification, phase relationships,
consistency limits, particle size distribution, classification of soil,
structure and clay mineralogy.

Capillary water and structural water, effective stress and pore water pressure, Darcy's Law, factors affecting permeability, determination of permeability, permeability of stratified soil deposits.

Seepage pressure, quick sand condition, compressibility and consolidation, Terzaghi's theory of one dimensional consolidation, consolidation test. Compaction of soil, optimum moisture content, Proctor Density.

Subsurface exploration, methods of boring, sampling, types of sampler, field tests.

Shear strength of soils, Mohr-Coulomb failure theory, shear tests Earth pressure at rest, active and passive pressures, Rankine's theory, Coulomb's wedge theory, earth pressure on retaining wall.

Bearing capacity, Terzaghi and other important theories, net and gross bearing pressure, Immediate and consolidation settlement.

Load carrying capacity of pile groups.

Stability of slope-Conventional method of slices, stability numbers.

**Transporation Engineering :
**Highway alignment, choice of layout and capacity of highways, location
survey, geometric design of highways-various elements, curves, grade separation
and segregation of traffic, intersection design, highway materials and testing
subgrade and pavement components, types of pavements, road drainage, elements of
airport engineering.

Railway engineering-elements of permanent track-rails, sleepers, ballast and rail fastenings, tractive resistance, elements of geometric design-gradients and grade compensation on curves, cant transition curves and vertical curves, stresses in railway tracks, points and crossings, signalling and interlocking, maintenance of railway track. Culverts and small bridges.

**Fluid Mechanics:** fluid
properties, fluid statics, forces on plane and curved surfaces, stability of
floating and submerged bodies.

**Kinematics: **Velocity,
streamlines, continuity equation, accelerations irrotational and rotational
flow, velocity potential and stream functions, flownet, separation.

**Dynamics: **Euler's equation along
streamline, control volume equation, continuity, momentum, energy and moment of
momentum equation from control volume equation, applications to pipe flow,
moving vanes, moment of momentum, Dimensional analysis.

Boundary layer on a flat plate, drag and lift on bodies. Laminar and Turbulent Flows. Laminar and turbulent flow through pipes, friction factor variation, pipe networks, water hammer, and surge tanks.

**Open Channel Flow: **Energy and
momentum correction factors, uniform and non-uniform flows, specific energy and
specific force, critical depth, Friction factors and roughness coefficients,
flow in transitions, free overfall, weirs, hydraulic jump, surges, gradually
varied flow equations, surface profiles, moving hydraulic jump.

Environmental Engineering

**Water Supply:** Estimation of
surface and subsurface water resources, predicting demand for water, impurities
of water and their significance, physical, chemical and bacteriological
analysis, water borne diseases, standards for potable water.

**Intake of water: **pumping and
gravity schemes, water treatment: principles of coagulation, flocculation and
sedimentation; slow-, rapid-, pressure-, filters; chlorination, softening,
removal of taste, odour and salinity.

Water storage and distribution: storage and balancing reservoir types, location and capacity. Distribution systems: layout, hydraulics of pipe lines, pipe fittings, valves including check and pressure reducing valves, meters, analysis of distribution systems, leak detection, maintenance of distribution systems, pumping stations and their operations.

**Sewerage systems: **Domestic and
industrial wastes, storm sewage-separate and combined systems, flow through
sewers, design of sewers, sewer appurtenances, manholes, inlets, juctions,
siphon. Plumbing in Public buildings.

**Sewage characterisation: **BOD,
COD, solids, dissloved oxygen, nitrogen and TOC. Standards of disposal in normal
water course and on land.

**Sewage treatment: **Working
principles, units, chambers, sedimentation tank, trickling filters, oxidation
ponds, activated sludge process, septic tank, disposal of sludge, recycling of
waste water.

**Construction Management : **
Elements and principles of Activity on Arrow (AOA) and Activity on Node
(AON) networks and work breakdown structure. Interfaces. Ladder networks.
Activity time. Time computations and floats. ATC and PTC trade-off. Work study
and sampling. Scheduling principles-material schedules. ABC and EOQ analysis of
inventory. Budgeting with barcharts. Working capital. PERT, probability of
completion.

Elements of Engineering Economics, methods of appraisal, present worth, annual cost, benefit-cost, incremental analysis. Economy of scale and size. Choosing between alternatives including levels of investments. Project profitability.