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.

UNIT - II : 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 beamcolumns, column
bases. Connections- simple and eccentric, beam–column
connections, plate girders and trusses. Plastic analysis of
beams and frames.

UNIT - III : GEOTECHNICAL ENGINEERING

Soil Mechanics : Origin of soils, soil classification, three -
phase system, fundamental definitions, relationship and
interrelationships, permeability and 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 and clays. Deep foundations – pile types, dynamic
and static formulae, load capacity of piles in sands and clays,
negative skin friction.

UNIT - IV : 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.