# (Syllabus) GATE Examination (CE - CIVIL ENGINEERING)

**Syllabus
: ****GATE
Examination ****(National
Level Entrance Exam****)**

__CE
- CIVIL ENGINEERING__

**ENGINEERING MATHEMATICS **

**Linear Algebra:
**Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.

**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 and nonlinear), Higher order linear
differential equations with constant coefficients, Cauchy's and Euler's
equations, Initial and boundary value problems, Laplace transforms, Solutions of
one dimensional heat and wave equations and Laplace equation. Complex variables:
Analytic functions, Cauchy's integral theorem, Taylor and Laurent series.

**Probability and
Statistics:** Definitions of 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 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 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 beam- columns, column
bases. Connections- simple and eccentric, beamâ€“column connections, plate
girders and trusses. Plastic analysis of beams and frames.

**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 â€“ pile
types, dynamic and static formulae, load capacity of piles in sands and clays,
negative skin friction. 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.

**Hydrology: **Hydrologic
cycle, rainfall, evaporation, infiltration, stage discharge relationships, unit
hydrographs, flood estimation, reservoir capacity, 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 spillways.
Design of weirs on permeable foundation. Types of irrigation system, irrigation
methods. Water logging and drainage, sodic soils.

**ENVIRONMENTAL
ENGINEERING **

**Water requirements:**
Quality standards, basic unit processes and operations for water treatment.
Drinking water standards, water requirements, basic unit operations and unit
processes for surface water treatment, distribution of water. Sewage and
sewerage treatment, quantity and characteristics of wastewater. Primary,
secondary and tertiary treatment of wastewater, sludge disposal, effluent
discharge standards. Domestic wastewater treatment, quantity of characteristics
of domestic wastewater, primary and secondary treatment Unit operations and unit
processes of domestic wastewater, sludge disposal.

**Air Pollution: **Types
of pollutants, their sources and impacts, air pollution meteorology, air
pollution control, air quality standards and limits.

**Municipal Solid
Wastes: **Characteristics, generation, collection and transportation of solid
wastes, engineered systems for solid waste management (reuse/ recycle, energy
recovery, treatment and disposal).

**Noise
Pollution:** Impacts of noise, permissible limits of noise pollution,
measurement of noise and control of noise pollution.

**TRANSPORTATION
ENGINEERING **

**Highway Planning: **Geometric
design of highways, testing and

specifications of paving
materials, design of flexible and rigid pavements.

Traffic Engineering: Traffic characteristics, theory of traffic flow, intersection design, traffic signs and signal design, highway capacity.

**SURVEYING **

Importance of surveying, principles and classifications, mapping concepts, coordinate system, map projections, measurements of distance and directions, leveling, theodolite traversing, plane table surveying, errors and adjustments, curves.