## GATE Examination Syllabus -(CE)Civil Engineering

**Engineering Mathematics**

**Linear Algebra: **Determinants, algebra of matrices, systems of linear equations, eigen values and eigen vectors.

**Calculus:** Functions of single variable: limit, continuity and differentiability, mean value theorems, theorems “‘of integral calculus; evaluation of definite and improper integrals. Functions of two variables: limit, continuity, partial derivatives, total derivative and directional derivative, maxima and minima, multiple integrals and their applications, sequences and series, test for convergence, Fourier series.

**Ordinary Differential Equations:** First order equations (linear and nonlinear), higher order linear differential equations with constant coefficients, method of variation of parameters, Cauchy’s or Euler’s equations, initial and boundary value problems, Laplace transform.

**Statistics:** Basic concepts of Probability and Statistics.

**Structural Engineering**

**Mechanics:** Bending moments and. shear forces in statically determinate beams; simple stress and strain: relationship; stress and strain in two dimensions, principal stresses, stress transformation, Mohr’s circle; v-srrrTple1)ending theory; flexural shear stress; thin-walled pressure vessels; uniform torsion.

**Structural Analysis:** Analysis of statically determinate trusses, arches and frames; displacements in statically determinate structures and analysis of statically indeterminate structures by force/energy methods; .-o”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:** Basic working stress and limit states design concepts; analysis of ultimate load capacity and design of members subject to flexure, shear, compression and torsion (beams, columns and isolated footings); 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 beam-columns, column bases; connections – simple and eccentric, beam-column connections, plate girders and trusses; plastic analysis of beams and frames.

**Ge0techn1cal Engineering**

**Soil Mechanics: **Origin of soils; soil classification; three-phase system, fundamental definitions, relationship and inter-relationships; permeability and seepage; effective stress principle: consolidation, compaction; shear strength.

**Foundation Engineering:** Sub-surface investigation – scope, drilling bore holes, sampling, penetrometer 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.

**Water Resources Engineering**

**Fluid Mechanics and Hydraulics:** Hydrostatics, applications of Bernoulli equation, laminar and turbulent 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 measurement in channels; tanks and pipes; dimensional analysis and hydraulic modeling. Applications of momentum equation, potential flow, kinematics of flow; velocity triangles and specific speed of pumps and turbines.

**Hydrology:** Hydrologic cycle; rainfall; evaporation infiltration, unit hydrographs, flood estimation, reservoir design, reservoir and channel routing, well hydraulics.

**Irrigation: **Duty, delta, estimation of evapo-transpiration; crop water requirements; design of lined and unlined canals; waterways; head works, gravity dams and Ogee spillways. Designs of weirs on permeable ” foundation, irrigation methods.

**Environmental Engineering**

**Water requirements;** quality and standards, basic unit processes and operations for water treatment, distribution of water. Sewage and sewerage treatment: quantity and characteristic of waste water sewerage; primary and secondary treatment of waste water; sludge disposal; effluent discharge standards.

**Transportation Engineering
**

Highway planning; geometric design of highways; testing and specifications of paving materials; design of flexible and rigid pavements.

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