–Civil Engineering (CE)–

Candidate qualifying for GATE Exam 2022/2023 in Civil Engineering stream, can secure an admission in IITs/IISc and explore career opportunity in PSU Jobs. Aspirants of Gate Civil i.e. those who are appearing for GATE 2023 Civil Engineering Exam, are required to understand syllabus thoroughly before starting preparation.

Engineering Mathematics

Linear Algebra

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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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Concrete Structures

Working stress and Limit state design concepts; Design of beams, slabs,columns; Bond and

development length; Pre-stressed concrete beams.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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 application.

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Air Pollution

Types of pollutants, their sources and impacts, air pollution control, air quality standards, Air quality

Index and limits.

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Municipal Solid Wastes

Characteristics, generation, collection and transportation of solid wastes, engineered

systems for solid waste management (reuse/ recycle, energy recovery, treatment and disposal).

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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.

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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

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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.

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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.

Change in syllabus 2022

Removed topic	Added topic	Removed topic	Added topic
Linear Algebra: NA	Linear Algebra: NA	Calculus: Maclaurin series; Stokes, Gauss and Green’s theorems.	Calculus:NA
Ordinary Differential Equation (ODE): Laplace transform and its application in solving Partial Differential Equation (PDE): NA	Ordinary Differential Equation (ODE):NAPartial Differential Equation (PDE): NA	Probability and Statistics: Binomial distributions; exponential distributions;	Probability and Statistics: Discrete and Poisson and Normal Distribution; Linear regression.
Numerical Methods: NA	Numerical Methods: Error analysis. NA	Engineering Mechanics: Kinematics of point mass and rigid body; Euler’s equations of motion; Impulse-momentum; Energy methods; Principles of virtual work.	Engineering Mechanics:Free Vibrations of undamped SDOF system.
Solid Mechanics: Theories of failures;	Solid Mechanics: NA	Structural Analysis: NA	Structural Analysis: NA
Construction Materials and Management: Bricks and mortar; Timber; Bitumen. Tendering and construction contracts; Rate analysis and standard specifications;	Construction Materials and Management: NA	Concrete Structures: Ultimate load design concepts; Analysis of beam sections at transfer and service loads.	Concrete Structures: NA
Steel Structures: NA	Steel Structures: NA	Soil Mechanics: Origin of soils, soil structure and fabric, Darcy’s law; Principle of capillarity, seepage force,	Soil Mechanics: NA
Foundation Engineering: method of slices, westergard’s theories	Foundation Engineering:, pile under lateral loading, pile group efficiency,	Fluid Mechanics: NA	Fluid Mechanics: Concept of lift and drag.
Hydraulics: Kinematics of flow, velocity triangles; Basics of hydraulic machines, specific speed of pumps and turbines;	Hydraulics: NA	Hydrology NA	Hydrology: NA
Irrigation: head works Water logging and drainage; Canal regulatory works, outlets and escapes.	Irrigation: NA	Environmental Engineering Water and Waste Water: NA Air Pollution: Air pollution mertrology Municipal Solid Wastes: NA Noise Pollution: Impacts of noise, permissible limits of noise pollution, measurement of noise and control of noise pollution.	Environmental Engineering Water and Waste Water Quality and Treatment: Reuse of treated sewage for different application Air Pollution: Air quality Index and limits. Municipal Solid Wastes: NA
Transportation Engineering Transportation Infrastructure: Highway alignment and engineering surveys; Highway Pavements: Design of bituminous paving mixesDistresses in concrete pavements. Traffic Engineering: travel time – delay and O-D study, PCU, parking study, Control devices, Types of channelization; level of service of rural highways and urban roads.	Transportation Engineering Transportation Infrastructure: NA Highway Pavements: NA Traffic Engineering: NA	Section 7: Geomatics Engineering Remote sensing – platform and sensors, visual image interpretation; Basic of Geographical Positioning system (GPS).	Geomatics Engineering: NA

	Stage – I	Stage – II	Stage – III	Stage – IV	Stage – V
Notes + Gate Ques + Topic Test + Subject Test	GA = 27 hrs Maths = 44 hrs EM = 46 hrs FM = 69 hrs SOM = 68 hrs	Thermo = 79 hrs Manufacturing = 77 hrs TOM = 64 hrs	MD = 40 hrs HT = 52 hrs IE = 59 hrs	3 FLT	3 FLT
Extra Workout		One Mock with Analysis = 7 hrs	2 Mocks with Analysis = 15 hrs	3 Mocks	3 Mocks
Extra Workout		Revise all 8 Subjects = 130 hrs	Revise all Subjects = 120 hrs	Revision 2	Revision 3
Total Hours	254	357	286	125	140

Chapter 1	Numerical Ability	Numerical computation, numerical estimation, numerical reasoning, data interpretation	4 days
Chapter 2	Verbal Ability	English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deductions	2 days

GA Master Plan		Hours	Remarks
	Notes + Gate Questions	22
	Topic test from Aspiration.ai	3	with Analysis
	Subject test from aspiration.ai	2	with Analysis
	revision overall	2
	Total	29hrs

Chapter 1	Linear Algebra	Matrix Algebra, Type of matrices, Determinant, Cramer’s rule, Systems of linear equations, Rank of the equation, consistency of the equation, Eigen values and Eigen vectors.	2 day
Chapter 2	Probability & distribution	Sampling theorems, Conditional probability, Baye’s theorem, Random variables, Expectation & Variance, Discrete and continuous distributions, uniform, normal, exponential, Poisson, Binomial. Correlation and regression analysis, covariance, correlation coefficient, Mean, median, mode and standard deviation,	1 day
Chapter 3	Numerical methods	Solutions of non-linear algebraic equations, Newton Raphson method, Regulafalsi method or (method of false position), secant method, Gauss Elimination Method, Gauss Jordon method, Jacobi iteration method , Gauss Siedel iteration method, Numerical Integration: Trapezoidal rule, Simpson’s 1/3 & 3/8 rule, single and multi-step methods for differential equations, Euler’s method, RungeKutta Method	1 day
Chapter 4	Calculus	Limits & continuity, Basic differentiation & integration, Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.	3 days
Chapter 5	Differential Equations	First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.	2 days
Chapter 6	Complex Variables	Analytic functions, Cauchy’s integral theorem and integral formula, Taylor’s and Laurent series, Residue theorem	1 day
Chapter 7	Laplace Transforms+ Fourier series	Definition & property of Laplace transform + Fourier Series	0.5 day

Maths Master Plan		Hours	Remarks
	Notes + Gate Questions	35
	Topic test from Aspiration.ai	5	with Analysis
	Subject test from aspiration.ai	4	with Analysis
	revision overall	6
	Total	50 hrs

Chapter 1	Force and moment systems	Force and moment systems	1 day
Chapter 2	Equilibrium of force systems	Equilibrium of force systems	2 days
Chapter 3	Structural analysis	Structural analysis	2 days
Chapter 4	Kinematics and dynamics of particles and rigid bodies in plane motion	Kinematics and dynamics of particles and rigid bodies in plane motion	2 days
Chapter 5	Friction	Friction	1 day
Chapter 6	Work and energy principle	Work and energy principle	1 day
Chapter 7	Impulse and momentum	Impulse and momentum	1 day

Chapter 1	Basics of fluid mechanics	Definition of fluids, basic equations	2 days
Chapter 2	Properties of fluids	Density, specific gravity, viscosity, surface tension, capillarity, bulk modulus, vapour pressure	1 day
Chapter 3	Pressure and fluid statics	Pressure, barometer, atmospheric pressure, principle, pressure measurement, buoyancy and floatation	2 days
Chapter 4	Kinematics	Introduction, description, types of fluid flow, continuity equation, motion of fluid element, flow patterns, stream function	3 days
Chapter 5	Bernoulli’s equations and its applications	Euler’s equation, bernoulli’s equation and its applications	2 days
Chapter 6	Dynamics of fluid flow	Introduction, impulse momentum principle, forces exerted by fluids	2 days
Chapter 7	Flow through conduits/pipes	Internal, laminar, turbulent flow, loss of energy, flow through pipes and nozzles	2 days
Chapter 8	External flow	Boundary layers, drag force, boundary conditions	2 days
Chapter 9	Hydraulic turbines	Classification, various types of turbines, model testing	2 days

Chapter 1	Simple stress and strain	Types of stresses and strains, types of materials, thermal stress	2 days
Chapter 2	Strain energy and impact load	Strain energy	2 days
Chapter 3	Shear force and bending moment diagram	Shear force, beam, FBD, method of analysis, equation of equilibrium	2 days
Chapter 4	Bending stress and shear stress	Pure bending moment, direct shear stress	2 days
Chapter 5	Pure torsion	Pure torsion, composite shafts, springs	2 days
Chapter 6	Combined stress and strain	Different stress and strains, combined stress and strain	3 days
Chapter 7	Column and pressure level	Types of column, slenderness ratio, pressure level	2 days
Chapter 8	Slope and deflection	General expressions, methods	2 days

Chapter 1	Basic concepts of thermodynamics	Basic concepts of thermodynamics, thermodynamic system and processes; Zeroth law of thermodynamics, basic terminologies of thermodynamics	2 days
Chapter 2	First law of thermodynamics	First law of thermodynamics for a cycle and process, application of first law of thermodynamics, study flow energy equation	2 days
Chapter 3	Second law of thermodynamics	Second law of thermodynamics statement, heat engine, refrigerator and heat pump, Clausius inequality law, entropy	3 days
Chapter 4	Available energy and thermodynamic relations	Available and unavailable energy, energy, enthalpy and maxwell’s equations	2 days
Chapter 5	Properties of pure substance and gas mixture	Properties of pure substances, dryness, fraction of steam, triple point water	2 days
Chapter 6	Refrigeration	Vapour refrigeration cycle, heat pumps, gas refrigeration, Reverse Carnot & Reverse Brayton cycle	2 days
Chapter 7	Psychrometry	Psychrometric terms, psychrometric properties relations, psychrometric chart, different processes on psychrometric chart.	2 days
Chapter 8	Power plant engineering	Sterling and Ericson cycle, gas and steam power plant, compressor, steam turbine	3 days
Chapter 9	Internal combustion engine	Classification, applications, basic components, terms used	2 days