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Paper-I
Part-A : Engineering Mechanics, Strength of Materials and Structural Analysis.
Engineering Mechanics :
Units and Dimensions, SI Units, Vectors, Concept of Force, Concept of
particle and rigid body. Concurrent, Non Concurrent 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 Moment 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, Flywheel.
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 & shear.
Deflection of beams : Mecaulay�s method, Mohr�s Moment area method, Conjugate
beam method, unit load method. Torsion of Shafts, Transmission of power,
close coiled 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 cylinder :
Stresses due to internal and external pressure�Lame�s equations.
Structural Analysis :
Castiglianio�s theorems I and II, unit load method, method of consistent
deformation applied to beams and pin jointed trusses. Slope-deflection,
moment distribution, Kani�s method of analysis and column Analogy method
applied to indeterminate beams and rigid frames.
Rolling loads and Influences lines : Influences lines for Shear Force
and Bending moment at a section of a beam. Criteria for maximum shear
force and bending Moment in beams traversed by a system of moving loads.
Influences lines for simply supported plane pin jointed trusses.
Arches : Three hinged, two hinged and fixed arches, rib shortening and
temperature effects, influence lines in arches.
Matrix methods of analysis : Force method and displacement method of analysis
of indeterminate beams and rigid frames.
Plastic Analysis of beams and frames : Theory of plastic bending, plastic
analysis, statical method, Mechanism method.
Unsymmetrical bending : Moment of inertia, product of inertia, position
of Neutral Axis and Principle axes, calculation of bending stresses.
Part�B :
Design of Structures : Steel, Concrete and Masonry Structures.
Structural Steel Design :
Structural Steel : Factors of safety and load factors. Rivetted, bolted
and welded joints and connections. Design of tension and compression members,
beams of built up section, rivetted and welded plate girders, gantry girders,
stancheons with battens and lacings, slab and gussetted column bases.
Design of highway and railway bridges : Through and deck type plate girder,
Warren girder, Pratt truss.
Design of Concrete and Masonry Structures :
Concept of mix design. Reinforced Concrete : Working Stress and Limit
State method of design�Recommendations of I.S. codes design of one way
and two way slabs, stair-case slabs, simple and continuous beams of rectangular,
T and L sections. Compression members under direct load with or without
eccentricity, Isolated and combined footings.
Cantilever and Counterfort type retaining walls.
Water tanks : Design requirements for Rectangular and circular tanks resting
on ground.
Prestressed concrete : Methods and systems of prestressing, anchorages,
Analysis and design of sections for flexure based on working stress, loss
of prestress.
Design of brick masonry as per I.S. Codes
Design of masonry retaining walls.
Part-C : Fluid Mechanics, Open Channel Flow and Hydraulic Machines
Fluid Mechanics : Fluid properties and their role in fluid motion, fluid
statics including forces acting on plane and curve surfaces.
Kinematics and Dynamics of Fluid flow : Velocity and accelerations, stream
lines, equation of continuity, irrotational and rotational flow, velocity
potential and stream functions, flownet, methods of drawing flownet, sources
and sinks, flow separation, free and forced vortices.
Control volume equation, continuity, momentum, energy and moment of momentum
equations from control volume equation, Navier-Stokes equation, Euler�s
equation of motion, application to fluid flow problems, pipe flow, plane,
curved, stationary and moving vanes, sluice gates, weirs, orifice meters
and Venturi meters.
Dimensional Analysis and Similitude : Buckingham�s Pi-theorem, dimensionless
parameters, similitude theory, model laws, undistorted and distorted models.
Laminar Flow : Laminar flow between parallel, stationary and moving plates,
flow through tube.
Boundary layer : Laminar and turbulent boundary layer on a flat plate,
laminar sublayer, smooth and rough boundaries, drag and lift.
Turbulent flow through pipes : Characteristics of turbulent flow, velocity
distribution and variation of pipe friction factor, hydraulic grade line
and total energy line, siphons, expansion and contractions in pipes, pipe
networks, water hammer in pipes and surge tanks.
Open channel flow : Uniform and non-uniform flows, momentum and energy
correction factors, specific energy and specific force, critical depth,
resistance equations and variation of roughness coefficient, rapidly varied
flow, flow in contractions, flow at sudden drop, hydraulic jump and its
applications surges and waves, gradually varied flow, classification of
surface profiles, control section, step method of integration of varied
flow equation, moving surges and hydraulic bore.
Hydraulic Machines and Hydropower :
Centrifugal pumps�Types, characteristics, Net Positive Suction Height
(NPSH), specific speed. Pumps in parallel.
Reciprocating pumps, Airvessels, Hydraulic ram, efficiency parameters,
Rotary and positive displacement pumps, diaphragm and jet pumps.
Hydraulic turbines, types classification, Choice of turbines, performance
parameters, controls, characteristics, specific speed.
Principles of hydropower development. Type, layouts and Component works.
Surge tanks, types and choice. Flow duration curves and dependable flow.
Storage an pondage. Pumped storage plants. Special features of mini, micro-hydel
plants.
Part-D : Geo Technical Engineering
Types of soil, phase relationships, consistency limits particles size
distribution, classifications 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, field control of compaction. Total stress and effective
stress parameters, pore pressure coefficients.
Shear strength of soils, Mohr Coulomb failure theory, Shear tests.
Earth pressure at rest, acive and passive pressures, Rankine�s theory,
Coulomb�s wedge theory, earth pressure on retaining wall, sheetpile walls,
Braced excavation.
Bearing capacity, Terzaghi and other important theories, net and gross
bearing pressure.
Immediate and consolidation settlement.
Stability of slope, Total Stress and Effective Stress methods, Conventional
methods of slices, stability number.
Subsurface exploration, methods of boring, sampling, penetration tests,
pressure meter tests.
Essential features of foundation, types of foundation, design criteria,
choice of type of foundation, stress distribution in soils, Boussinessq�s
theory, Newmarks�s chart, pressure bulb, contact pressure, applicability
of different bearing capacity theories, evaluation of bearing capacity
from field tests, allowable bearing capacity, Settlement analysis, allowable
settlement.
Proportioning of footing, isolated and combined footings, rafts, buoyancy
rafts, Pile foundation, types of piles, pile capacity, static and dynamic
analysis, design of pile groups, pile load test, settlement of piles,
lateral capacity. Foundation for Bridges. Ground improvement techniques�preloading,
sand drains, stone column, grouting, soil stabilisation.
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