Engineering Mathematics:
Linear Algebra
Matrix
algebra, Systems of Linear equations, Eigen value, eigenvectors
Calculus
Function
of single variable, Limit, Continuity and differentiability, Mean value
theorem, Evaluation of definite and improper integer, Partial derivatives,
Total Derivative, Maxima and minima, Gradient, Divergence and Curl, Vector
identities, Directional derivatives, Line , Surface and Volume integrals,
stokes, Gauss and Green theorem.
Differential equations
First order equation, Higher order linear
differential equations with constant coefficients, Cauchy’s and Euler’s
equation, Initial and boundary value problems, Laplace transforms, solution of
one dimension heat and wave equation and Laplace equation
Complex
variables
Analytic functions, Cauchy’s integral
theorem, Taylor and Laurent series
Probability
and statistics
Definitions
of probability and sapling theorems, Conditional probability, Mean , Median,
Mode and standard deviation, Random Variable, Poisson, Normal and Binomial
distribution
Numerical
Methods
Numerical
solution of linear and non-linear algebra equations integration by trapezoidal
and Simon’s rule, single and multi-step methods for differential equations
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 center, 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 methods,
influence lines for determinates and inseminate structures, Basic concept of
matrix method of structural analysis
Concrete Structures
Concrete Technology-properties of
concrete, basic of mix design, Concrete design basic working stress and limit
state design concept, Analysis of ultimate load capacity and design of member
subjected to flexure, Analysis of beam section at transfer and service loads
Steel
Structures
Analysis
and design of tension and compression members, Beams and beam- columns, Column
bases, Connections –simple and eccentric, Beam-column connection, Plate girders
and trusses, Plastic analysis of beams and frames
Geotechnical Engineering
Soil Mechanics
Origin of soils, Soil
Classification, Three-phase system, Fundamental definition, Relationship and
interrelationship, 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 factor, Stress distribution, Settlement analysis in sands and
clays, Deep foundation-pile type, Dynamic –static formulae, Load capacity of
piles in sand and clays,
