TN TRB Lecturer – Civil Engineering​

Linear Algebra – Matrix algebra, linear equations, Eigen values and Eigen vectors.

Calculus – Functions of single variable, limit, continuity and differentiability – mean value theorems, evaluation of definite and improper integrals – partial derivatives, total derivative – maxima and minima – gradient, divergence and curl – vector identities – directional derivatives – line, surface and volume integrals – stokes, gauss and green’s theorems.

Differential equations – First order equations (linear, nonlinear) – higher order linear differential equations with constant coefficients – Cauchy’s and Euler’s equations – initial and boundary value problems – Laplace transformations and equations – solutions to one dimensional heat and wave equations.

Complex variables – Analytic functions – Cauchy’s integral theorem – Taylor and Laurent series – Fourier series – general, odd and even functions.

Probability and Statistics – Probability and sampling theorems – conditional probability – mean – median, mode and standard deviation – random variables – Poisson, Normal and Binomial distributions.

Numerical Methods – Numerical solutions of linear and non-linear algebraic equations – integration by trapezoidal and Simpson’s rule, single and multistep methods for differential equations.

Simple stress and strain relationships in one, two and three dimensions – principal stresses, stress transformation – Mohr’s circle – properties of surfaces – friction – principle of conservation of energy – impulse and momentum – relative motions – bending moment and shear force in statically determinate beams – simple bending theory – flexural and shear stresses – unsymmetrical bending – shear center – pressure vessels (thin and thick walled) – uniform torsion – springs – buckling of columns – combined and direct bending stresses – theories of failure – shear stress, strain energy and distortion energy theories – residual stresses.

Analysis of statically determinate and indeterminate trusses – arches – cables and frames – deflections of statically determinate structures (beams, frames and trusses) – analysis of statically indeterminate structures (slope deflection, moment distribution methods) – matrix methods of structural analysis – influence lines for determinate and indeterminate structures.

Concrete technology – properties of concrete – mix design – working stress and limit state design concepts – design of all structural components (slab, beam, column, foundation and stair case) – retaining walls – water tanks – basic elements of prestressed concrete – methods – analysis of beams at transfer and service loads – seismic load analysis – theory of vibration – seismology – response of structures – design methodology – all related IS codes.

Connections – analysis and design of tension, compression members, beams and beam columns – trusses – column bases – plate girders – plastic analysis – wind load analysis – all related IS codes.

Soil classification – engineering properties – three phase system – relationship and interrelationship – permeability – seepage – effective stress principle – consolidation – compaction – shear strength – CBR – Safe bearing capacity determination.

Sub surface investigation – sampling – standard penetration test – plate load test – earth pressure – effect of water table – layered soil – stability of slopes – foundation types and design requirements – stress distribution and settlement analysis – shallow and deep foundations.

Properties of fluid – principle of conservation of mass – momentum – energy and corresponding equations – potential flow – Bernoulli’s equation it and application – laminar and turbulent flow – flow in pipes – network – concept of boundary layer – uniform and non uniform flow – specific energy concept – hydraulic jump – forces on immersed bodies – flow measurements in open channels and pipes, dimensional analysis and hydraulic modeling – impact,  kinematics of flow – velocity triangles – pumps and turbines.

Hydrologic cycle – rainfall – evaporation – infiltration – stage discharge relationships – unit hydrographs – flood estimation – reservoir capacity – reservoir and channel routing well hydraulics.

Duty – delta – estimation of evapo-transpiration – crop water requirements – design of lined and unlined canals – waterways – head works – gravity dams and spill ways – design of permeable foundation – types of irrigation system – irrigation methods – water logging and drainage.

Quality standards – basic unit processes and operations – water treatment – drinking water standards – water requirements – surface water treatment – distribution – sewage and its treatment – quantity and characteristics of waste water – primary, secondary and tertiary treatment – effluent discharge standards – domestic waste water treatment – quantity and characteristics – treatment unit operations and unit processes – sludge disposal – types of pollutants – their sources and impacts – standards and limits. 

IRC standards – geometric design of highways – materials – construction and maintenance – testing and specifications of materials – design of flexible and rigid pavements – traffic characteristics – theory of traffic flow – intersection design – traffic signs and signal design – highway capacity – importance of surveying – principles and classification – mapping – coordinate system – map projections – measurements of distance and directions – leveling – theodolite traversing – errors and adjustments – curves.