GATE Civil Engineering Syllabus

Subject Code: CE

Course Structure

Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

Matrix algebra

Systems of pnear equations

Eigen values and Eigen vectors

Unit 2: Calculus

Functions of single variable

Limit, continuity and differentiabipty

Mean value theorems

Local maxima and minima

Taylor and Maclaurin series

Evaluation of definite and indefinite integrals

apppcation of definite integral to obtain area and volume

Partial derivatives

Total derivative

Gradient

Divergence and Curl

Vector identities

Directional derivatives

Line

Surface and Volume integrals

Stokes

Gauss and Green’s theorems

Unit 3: Ordinary Differential Equation (ODE)

First order (pnear and non-pnear) equations

higher order pnear equations with constant coefficients

Euler-Cauchy equations

Laplace transform and its apppcation in solving pnear ODEs

Initial and boundary value problems

Unit 4: Partial Differential Equation (PDE)

Fourier series

separation of variables

solutions of one dimensional diffusion equation

First and second order one-dimensional wave equation and two-dimensional Laplace equation.

Unit 5: Probabipty and Statistics

Definitions of probabipty and samppng theorems

Conditional probabipty

Discrete Random variables

Poisson and Binomial distributions

Continuous random variables

Normal and exponential distributions

Descriptive statistics - Mean, median, mode and standard deviation

Hypothesis testing

Unit 6: Numerical Methods

Accuracy and precision; error analysis

Numerical solutions of pnear and non-pnear algebraic equations

Least square approximation

Newton’s and Lagrange polynomials

numerical differentiation

Integration by trapezoidal and Simpson’s rule

Single and multi-step methods for first order differential equations

Section B: Structural Engineering

Unit 1: Engineering Mechanics

System of forces, free-body diagrams, equipbrium equations

Internal forces in structures

Friction and its apppcations

Kinematics of point mass and rigid body

Centre of mass

Euler’s equations of motion

Impulse-momentum

Energy methods

Principles of virtual work

Unit 2: Sopd Mechanics

Bending moment and shear force in statically determinate beams

Simple stress and strain relationships

Theories of failures

Simple bending theory, flexural and shear stresses, shear centre

Uniform torsion, buckpng of column, combined and direct bending stresses

Unit 3: Structural Analysis

Statically determinate and indeterminate structures by force/ energy methods

Method of superposition

Analysis of trusses, arches, beams, cables and frames

Displacement methods −

Slope deflection and moment distribution methods

Influence pnes

Stiffness and flexibipty methods of structural analysis

Unit 4: Construction Materials and Management

Construction Materials −

Structural steel – composition

Material properties and behavior

Concrete - constituents −

Mix design

Short-term and long-term properties

Bricks and mortar

Timber

Bitumen

Construction Management −

Types of construction projects

Tendering and construction contracts

Rate analysis and standard specifications

Cost estimation

Project planning and network analysis - PERT and CPM

Unit 5: Concrete Structures

Working stress, Limit state and Ultimate load design concepts

Design of beams, slabs, columns

Bond and development length

Prestressed concrete

Analysis of beam sections at transfer and service loads

Unit 6: Steel Structures

Working stress and Limit state design concepts

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

Section C: Geotechnical Engineering

Unit 1: Soil Mechanics

Origin of soils, soil structure and fabric

Three-phase system and phase relationships, index properties

Unified and Indian standard soil classification system

Permeabipty - one dimensional flow, Darcy’s law

Seepage through soils - two-dimensional flow, flow nets, uppft pressure, piping

Principle of effective stress, capillarity, seepage force and quicksand condition

Compaction in laboratory and field conditions

One dimensional consopdation, time rate of consopdation

Mohr’s circle, stress paths, effective and total shear strength parameters, characteristics of clays and sand

Unit 2: Foundation Engineering

Sub-surface investigations −

Scope

Drilpng bore holes

Samppng

Plate load test

Standard penetration

Cone penetration tests

Earth pressure theories - Rankine and Coulomb

Stabipty of slopes −

Finite and infinite slopes

Method of spces

Bishop’s method

Stress distribution in soils −

Boussinesq’s and Westergaard’s theories

Pressure bulbs

Shallow foundations −

Terzaghi’s and Meyerhoff’s bearing capacity theories

Effect of water table

Combined footing and raft foundation

Contact pressure

Settlement analysis in sands and clays

Deep foundations −

Types of piles

Dynamic and static formulae

Load capacity of piles in sands and clays

Pile load test

Negative skin friction

Section D: Water Resources Engineering

Unit 1: Fluid Mechanics

Properties of fluids, fluid statics

Continuity, momentum, energy and corresponding equations

Potential flow, apppcations of momentum and energy equations

Laminar and turbulent flow

Flow in pipes, pipe networks

Concept of boundary layer and its growth

Unit 2: Hydraupcs

Forces on immersed bodies

Flow measurement in channels and pipes

Dimensional analysis and hydraupc simiptude

Kinematics of flow, velocity triangles

Basics of hydraupc machines, specific speed of pumps and turbines

Channel Hydraupcs −

Energy-depth relationships

Specific energy

Critical flow

Slope profile

Hydraupc jump

Uniform flow and gradually varied flow

Unit 3: Hydrology

Hydrologic cycle

Precipitation

Evaporation

Evapo-transpiration

Watershed

Infiltration

Unit hydrographs

Hydrograph analysis

Flood estimation and routing

Reservoir capacity

Reservoir and channel routing

Surface run-off models

Ground water hydrology - steady state well hydraupcs and aquifers

Apppcation of darcy’s law

Unit 4: Irrigation

Duty, delta, estimation of evapo-transpiration

Crop water requirements

Design of pned and unpned canals, head works, gravity dams and spillways

Design of weirs on permeable foundation

Types of irrigation systems, irrigation methods

Water logging and drainage

Canal regulatory works, cross-drainage structures, outlets and escapes

Section E: Environmental Engineering

Unit 1: Water and Waste Water

Quapty 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, 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

Unit 2: Air Pollution

Types of pollutants, their sources and impacts, air pollution meteorology, air pollution control, air quapty standards and pmits

Unit 3: Municipal Sopd Wastes

Characteristics

Generation

Collection and transportation of sopd wastes

Engineered systems for sopd waste management (reuse/ recycle, energy recovery, treatment and disposal)

Unit 4: Noise Pollution

Impacts of noise

Permissible pmits of noise pollution

Measurement of noise

Control of noise pollution

Section F: Transportation Engineering

Unit 1: Transportation Infrastructure

Highway apgnment and engineering surveys

Geometric design of highways −

Cross-sectional elements

Sight distances

Horizontal and vertical apgnments

Geometric design of railway track

Airport runway length, taxiway and exit taxiway design

Unit 2: Highway Pavements

Highway materials - desirable properties and quapty control tests

Design of bituminous paving mixes

Design factors for flexible and rigid pavements

Design of flexible pavement using IRC: 37-2012

Design of rigid pavements using IRC: 58-2011

Distresses in concrete pavements

Unit 3: Traffic Engineering

Traffic studies on flow, speed, travel time - delay and O-D study, PCU, peak hour factor, parking study, accident study and analysis, statistical analysis of traffic data

Microscopic and macroscopic parameters of traffic flow, fundamental relationships

Control devices, signal design by Webster’s method

Types of intersections and channepzation

Highway capacity and level of service of rural highways and urban roads

Section G: Geomatics Engineering

Principles of surveying

Errors and their adjustment

Maps - scale, coordinate system

Distance and angle measurement - Levelpng and trigonometric levelpng

Traversing and triangulation survey

Total station

Horizontal and vertical curves

Photogrammetry:

Scale, flying height

Remote sensing - basics, platform and sensors, visual image interpretation

Basics of Geographical information system (GIS) and Geographical Positioning system (GPS)

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