GATE 2021
GATE 2021 Organising Institute: IIT Bombay
|
CE |
Civil
Engineering |
Section 1:
Engineering Mathematics
Linear Algebra: Matrix algebra;
Systems of linear equations; Eigen values and Eigen vectors.
Calculus: Functions of single variable; Limit, continuity and
differentiability; Mean value theorems, local maxima and minima; Taylor series;
Evaluation of definite and indefinite integrals, application 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.
Ordinary Differential Equation
(ODE): First order (linear
and non-linear) equations; higher order linear
equations with constant coefficients; Euler-Cauchy equations; initial and
boundary value problems.
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.
Probability and Statistics: Sampling theorems; Conditional probability; Descriptive statistics
– Mean, median, mode and standard deviation; Random Variables – Discrete and
Continuous, Poisson and Normal Distribution; Linear regression.
Numerical Methods:
Error analysis. Numerical solutions of linear and non-linear algebraic
equations; 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 2: Structural Engineering
Engineering Mechanics: System of forces, free-body diagrams, equilibrium equations;
Internal forces in structures; Frictions and its applications; Centre
of mass; Free Vibrations of undamped
SDOF system.
Solid Mechanics:
Bending moment and shear force in statically determinate beams; Simple stress
and strain relationships; Simple bending theory, flexural and shear stresses,
shear centre; Uniform torsion, Transformation of stress; buckling of column,
combined and direct bending stresses.
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 lines; Stiffness and flexibility methods of structural analysis.
Construction Materials and Management: Construction Materials: Structural Steel – Composition, material
properties and behaviour; Concrete - Constituents, mix design, short- term and
long-term properties. Construction Management: Types of construction projects;
Project planning and network analysis - PERT and CPM; Cost estimation.
Concrete Structures: Working
stress and Limit state design concepts; Design of beams, slabs, columns; Bond
and development length; Prestressed concrete beams.
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; Concept of plastic analysis
- beams and frames.
Section 3: Geotechnical Engineering
Soil
Mechanics: Three-phase system and phase relationships,
index properties; Unified and Indian standard soil classification system;
Permeability - one dimensional flow, Seepage through soils – two - dimensional
flow, flow nets, uplift pressure, piping, capillarity, seepage force; Principle
of effective stress and quicksand condition; Compaction of soils; One-
dimensional consolidation, time rate of consolidation; Shear Strength, Mohr’s
circle, effective and total shear strength parameters, Stress-Strain
characteristics of clays and sand; Stress paths.
Foundation Engineering: Sub-surface investigations - Drilling bore holes, sampling, plate
load test, standard penetration and cone penetration tests; Earth pressure
theories - Rankine and Coulomb; Stability of slopes – Finite and infinite
slopes, Bishop’s method; Stress distribution in soils – Boussinesq’s theory;
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 – dynamic and static formulae, Axial load capacity of piles in sands and clays, pile load test,
pile under lateral
loading, pile group efficiency, negative skin friction.
Section 4:
Water Resources Engineering
Fluid Mechanics: Properties of fluids, fluid
statics; Continuity, momentum
and energy equations and their applications;
Potential flow, Laminar and turbulent flow; Flow in pipes, pipe networks;
Concept of boundary layer and its growth; Concept of lift and drag.
Hydraulics: Forces on immersed
bodies; Flow measurement in channels and pipes; Dimensional analysis
and hydraulic similitude; Channel Hydraulics - Energy-depth relationships, specific energy, critical
flow, hydraulic jump, uniform flow, gradually varied flow and water surface profiles.
Hydrology: Hydrologic cycle,
precipitation, evaporation, evapo-transpiration, watershed, infiltration, unit
hydrographs, hydrograph analysis, reservoir capacity, flood estimation and
routing, surface run-off models, ground water hydrology - steady state well
hydraulics and aquifers; Application of Darcy’s Law.
Irrigation: Types of irrigation
systems and methods; Crop water requirements - Duty, delta,
evapo-transpiration; Gravity Dams and Spillways; Lined and unlined
canals, Design of weirs on permeable foundation; cross drainage structures.
Section 5: Environmental Engineering
Water and Waste Water Quality and Treatment: Basics of water quality standards – Physical, chemical and biological parameters; Water quality index; Unit processes and operations; Water requirement; Water distribution
system; Drinking water treatment.
Sewerage
system design, quantity of domestic wastewater, primary and secondary
treatment. Effluent discharge standards; Sludge disposal; Reuse of treated
sewage for different
applications.
Air Pollution: Types of pollutants, their sources and impacts, air pollution control, air quality
standards, Air quality Index 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).
Section 6: Transportation Engineering
Transportation Infrastructure: Geometric design of highways - cross-sectional elements, sight
distances, horizontal and vertical alignments.
Geometric design of railway Track – Speed and Cant.
Concept of airport runway length, calculations and corrections; taxiway and exit taxiway design.
Highway Pavements: Highway materials - desirable properties and tests; Desirable properties
of bituminous paving mixes; Design factors for flexible and rigid pavements; Design of flexible
and rigid pavement using IRC codes
Traffic Engineering: Traffic studies on flow and speed, peak hour factor, accident study,
statistical analysis of traffic data; Microscopic and macroscopic parameters of traffic flow,
fundamental relationships; Traffic signs; Signal design by Webster’s method; Types of
intersections; Highway capacity.
Section 7: Geomatics Engineering
Principles of surveying; Errors and their adjustment; Maps - scale, coordinate system; Distance
and angle measurement - Levelling and trigonometric levelling; Traversing and triangulation
survey; Total station; Horizontal and vertical curves.
Photogrammetry and Remote Sensing - Scale, flying height; Basics of remote sensing and GIS.
Appendix C: Syllabus Content
GA General Aptitude
Verbal Aptitude
Basic English grammar: tenses, articles, adjectives, prepositions, conjunctions, verb-noun
agreement, and other parts of speech Basic vocabulary: words, idioms, and phrases in context
Reading and comprehension Narrative sequencing
Quantitative Aptitude
Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing data),
2- and 3-dimensional plots, maps, and tables Numerical computation and estimation: ratios,
percentages, powers, exponents and logarithms, permutations and combinations, and series
Mensuration and geometry Elementary statistics and probability
Analytical Aptitude
Logic: deduction and induction
Analogy
Numerical relations and reasoning
Spatial Aptitude
Transformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping
Paper folding, cutting, and patterns in 2 and 3 dimensions
Copyright © GATE 2021, Indian Institute of Technology Bombay
Copyright © GATE 2021, Indian Institute of Technology Bombay
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