# GATE Syllabus for Civil Engineering (CE)

## GATE Syllabus for Civil Engineering-(CE) | Structural Engineering | Geotechnical Engineering | Water Resources Engineering

**The GATE Syllabus for Civil Engineering (CE) consists of:**

1 |
Engineering Mathematics |

2 |
Structural Engineering |

3 |
Geotechnical Engineering |

4 |
Water Resources Engineering |

5 |
Environmental Engineering |

6 |
Transportation Engineering |

7 |
Geomatics Engineering |

### GATE Syllabus for Civil Engineering (CE)

#### 1-ENGINEERING MATHEMATICS SYLLABUS:

**The Engineering Mathematics Syllabus consists of:**

a |
Linear Algebra |

b |
Calculus |

c |
Ordinary Differential Equation |

d |
Partial Differential Equation |

e |
Complex variables |

f |
Probability and statistics |

g |
Numerical methods |

#### (a)-LINEAR ALGEBRA:

1 | Matrix algebra |

2 | Systems of linear equations |

3 | Eigen values and Eigen Vectors |

#### (b)-CALCULUS:

1 | Functions of single variable |

2 | Limit, continuity, and differentiability |

3 | Mean value theorems |

4 | Local maxima and minima |

5 | Taylor and Maclaurin series |

6 | Evaluation of definite and indefinite integrals |

7 | Application of definite integral to obtain area and volume |

8 | Partial derivatives |

9 | Total derivative |

10 | Gradient, Divergence, and Curl |

11 | Vector identities |

12 | Directional derivatives |

13 | Line, Surface and Volume integrals |

14 | Stokes |

15 | Gauss and Green’s theorems |

#### (c)-ORDINARY DIFFERENTIAL EQUATION:

1 | First order (linear and non-linear) equations |

2 | Higher order linear equations with constant coefficients |

3 | Euler-Cauchy equations |

4 | Laplace transform and its application in solving linear ODEs |

5 | Initial and boundary value problems |

#### (d)-PARTIAL DIFFERENTIAL EQUATION:

1 | Fourier series |

2 | Separation of variables |

3 | Solutions of one-dimensional diffusion equation |

4 | First and second order one-dimensional wave equation and two-dimensional Laplace equation |

#### (e)-COMPLEX VARIABLES:

1 | Analytic functions |

2 | Cauchy’s integral theorem |

3 | Taylor and Laurent series |

4 | Probability and Statistics |

5 | Definitions of probability and sampling theorems |

6 | Conditional probability |

7 | Mean, median |

8 | Mode and standard deviation |

9 | Random variables |

10 | Poisson, Normal |

11 | Binomial distributions |

#### (f)-PROBABILITY AND STATISTICS:

1 | Definitions of probability and sampling theorems |

2 | Discrete Random variables |

3 | Conditional probability |

4 | Poisson and Binomial distributions |

5 | Continuous random variables |

6 | Normal and exponential distributions |

7 | Descriptive statistics |

8 | Mean, median |

9 | Mode and standard deviation |

10 | Hypothesis testing |

#### (g)-NUMERICAL METHODS:

1 | Accuracy and precision |

2 | Error analysis |

3 | Numerical solutions of linear and non-linear algebraic equations |

4 | Least square approximation |

5 | Newton’s and Lagrange polynomials |

6 | Numerical differentiation |

7 | Integration by trapezoidal and Simpson’s rule |

8 | Single and multi-step methods for first order differential equations |

#### 2-STRUCTURAL ENGINEERING SYLLABUS:

**The Structural engineering syllabus consists of:**

a |
Engineering mechanics |

b |
Solid mechanics |

c |
Structural analysis |

d |
Construction materials and management |

e |
Concrete structures |

f |
Steel structures |

#### (a)-ENGINEERING MECHANICS:

1 | System of forces |

2 | Free-body diagrams |

3 | Equilibrium equations |

4 | Internal forces in structures |

5 | Friction and its applications |

6 | Energy methods |

7 | Impulse-momentum |

8 | Euler’s equations of motion |

9 | Centre of mass |

10 | Kinematics of point mass and rigid body |

11 | Principles of virtual work |

#### (b)-SOLID MECHANICS:

1 | Bending moment and shear force in statically determinate beams |

2 | Simple stress and strain relationships |

3 | Theories of failures |

4 | Simple bending theory |

5 | Flexural and shear stresses, shear centre |

6 | Uniform torsion, buckling of column |

7 | Combined and direct bending stresses |

#### (c)-STRUCTURAL ANALYSIS:

1 | Statically determinate and indeterminate structures by force/ energy methods |

2 | Method of superposition |

3 | Analysis of trusses |

4 | Arches, beams, cables and frames |

5 | Displacement methods |

6 | Slope deflection and moment distribution methods |

7 | Influence lines |

8 | Stiffness and flexibility methods of structural analysis |

#### (d)-CONSTRUCTION MATERIALS AND MANAGEMENT:

1 | Construction Materials |

2 | Structural steel – composition |

3 | Material properties and behavior; Concrete |

4 | Constituents, mix design |

5 | Short-term and long-term properties |

6 | Bricks and mortar |

7 | Timber |

8 | Bitumen |

9 | Construction Management |

10 | Types of construction projects |

11 | Tendering and construction contracts |

12 | Rate analysis and standard specifications |

13 | Cost estimation |

14 | Project planning and network analysis |

15 | PERT and CPM |

#### (e)-CONCRETE STRUCTURES:

1 | Working stress |

2 | Limit state and Ultimate load design concepts |

3 | Design of beams, slabs, columns |

4 | Bond and development length |

5 | Prestressed concrete |

6 | Analysis of beam sections at transfer and service loads |

#### (f)-STEEL STRUCTURES:

1 | Working stress and Limit state design concepts |

2 | Design of tension and compression members |

3 | Beams and beam- columns, column bases |

4 | Connections – simple and eccentric |

5 | Beam-column connections |

6 | Plate girders and trusses |

7 | Plastic analysis of beams and frames |

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#### 3-GEOTECHNICAL ENGINEERING SYLLABUS:

**The Geotechnical engineering syllabus consists of:**

a |
Soil mechanics |

b |
Foundation engineering |

#### (a)-SOIL MECHANICS:

1 | Origin of soils |

2 | Soil structure and fabric |

3 | Three-phase system and phase relationships |

4 | Index properties |

5 | Unified and Indian standard soil classification system |

6 | Permeability – one-dimensional flow, Darcy’s law |

7 | Seepage through soils – two-dimensional flow |

8 | Flow nets, uplift pressure, piping |

9 | Principle of effective stress, capillarity |

10 | Seepage force and quicksand condition |

11 | Compaction in laboratory and field conditions |

12 | One-dimensional consolidation, time rate of consolidation |

13 | Mohr’s circle, stress paths |

14 | Effective and total shear strength parameters |

15 | Characteristics of clays and sand |

#### (b)-FOUNDATION ENGINEERING:

1 | Sub-surface investigations |

2 | Scope, drilling bore holes |

3 | Sampling, plate load test |

4 | Standard penetration and cone penetration tests |

5 | Earth pressure theories – Rankine and Coulomb |

6 | Stability of slopes finite and infinite slopes |

7 | Method of slices and Bishop’s method |

8 | Stress distribution in soils |

9 | Boussinesq’s and Westergaard’s theories |

10 | Pressure bulbs |

11 | Shallow foundations |

12 | Terzaghi’s and Meyerhoff’s bearing capacity theories |

13 | Effect of water table |

14 | Combined footing and raft foundation |

15 | Contact pressure; Settlement analysis in sands and clays |

16 | Deep foundations |

17 | Types of piles |

18 | Dynamic and static formulae |

19 | Load capacity of piles in sands and clays |

20 | Pile load test, negative skin friction |

#### 4-WATER RESOURCES ENGINEERING SYLLABUS:

**The Water resources engineering syllabus consists of:**

a |
Fluid mechanics |

b |
Hydraulics |

c |
Hydrology |

d |
Irrigation |

#### (a)-FLUID MECHANICS:

1 | Properties of fluids |

2 | Fluid statics |

3 | Continuity, momentum, energy and corresponding equations |

4 | Potential flow, applications of momentum and energy equations |

5 | Laminar and turbulent flow |

6 | Flow in pipes, pipe networks |

7 | Concept of boundary layer and its growth |

#### (b)-HYDRAULICS:

1 | Forces on immersed bodies |

2 | Flow measurement in channels and pipes |

3 | Dimensional analysis and hydraulic similitude |

4 | Kinematics of flow, velocity triangles |

5 | Basics of hydraulic machines, specific speed of pumps and turbines |

6 | Channel Hydraulics |

7 | Energy-depth relationships |

8 | Specific energy, critical flow |

9 | Slope profile, hydraulic jump |

10 | Uniform flow and gradually varied flow |

#### (c)-HYDROLOGY:

1 | Hydrologic cycle, precipitation, evaporation |

2 | Evapo-transpiration, watershed, infiltration |

3 | Flood estimation and routing |

4 | Unit hydrographs, hydrograph analysis |

5 | Reservoir capacity, reservoir and channel routing |

6 | Surface run-off models, groundwater hydrology |

7 | Steady state well hydraulics and aquifers |

8 | Application of Darcy’s laws |

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#### (d)-IRRIGATION:

1 | Duty, delta, estimation of evapotranspiration |

2 | Crop water requirements |

3 | Design of lined and unlined canals |

4 | Head works, gravity dams and spillways |

5 | Design of weirs on permeable foundation |

6 | Types of irrigation systems, irrigation methods |

7 | Water logging and drainage |

8 | Canal regulatory works |

9 | Cross-drainage structures |

10 | Outlets and escapes |

### GATE Syllabus for Civil Engineering (CE)

#### 5-ENVIRONMENTAL ENGINEERING SYLLABUS:

**The Environmental engineering syllabus consists of:**

a |
Water and waste water |

b |
Air pollution |

c |
Municipal solid wastes |

d |
Noise pollution |

#### (a)-WATER AND WASTE WATER:

1 | Quality standards |

2 | Basic unit processes and operations for water treatment |

3 | Drinking water standards |

4 | Water requirements, basic unit operations |

5 | Unit processes for surface water treatment |

6 | Distribution of water |

7 | Sewage and sewerage treatment |

8 | Quantity and characteristics of wastewater |

9 | Primary, secondary and tertiary treatment of wastewater |

10 | Effluent discharge standards |

11 | Domestic wastewater treatment |

12 | Quantity of characteristics of domestic wastewater |

13 | Primary and secondary treatment |

14 | Unit operations and unit processes of domestic wastewater |

15 | Sludge disposal |

#### (b)-AIR POLLUTION:

1 | Types of pollutants their sources and impacts |

2 | Air pollution meteorology |

3 | Air pollution control |

4 | Air quality standards and limits |

#### (c)-MUNICIPAL SOLID WASTES:

1 | Characteristics, generation |

2 | Collection and transportation of solid wastes |

3 | Engineered systems for solid waste management |

#### (d)-NOISE POLLUTION:

1 | Impacts of noise |

2 | Permissible limits of noise pollution |

3 | Measurement of noise |

4 | Control of noise pollution |

#### 6-TRANSPORTATION ENGINEERING SYLLABUS:

**The Environmental engineering syllabus consists of:**

a |
Transportation infrastructure |

b |
Highway pavements |

c |
Traffic engineering |

#### (a)-TRANSPORTATION INFRASTRUCTURE:

1 | Highway alignment and engineering surveys |

2 | Geometric design of highways – cross-sectional elements |

3 | Sight distances, horizontal and vertical alignments |

4 | Geometric design of railway track |

5 | Airport runway length |

6 | Taxiway and exit taxiway design |

#### (b)-HIGHWAY PAVEMENTS:

1 | Highway materials |

2 | Desirable properties and quality control tests |

3 | Design of bituminous paving mixes |

4 | Design factors for flexible and rigid pavements |

5 | Design of flexible pavement using IRC: 37-2012 |

6 | Design of rigid pavements using IRC: 58-2011 |

7 | Distresses in concrete pavements |

#### (c)-TRAFFIC ENGINEERING:

1 | Traffic studies on flow, speed, travel time |

2 | Delay and O-D study |

3 | PCU, peak hour factor, parking study |

4 | Accident study and analysis |

5 | Statistical analysis of traffic data |

6 | Microscopic and macroscopic parameters of traffic flow |

7 | Fundamental relationships |

8 | Control devices, signal design by Webster’s method |

9 | Types of intersections and channelization |

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

#### 7-GEOMATICS ENGINEERING SYLLABUS:

1 | Principles of surveying |

2 | Errors and their adjustment |

3 | Maps – scale, coordinate system |

4 | Distance and angle measurement |

5 | Levelling and trigonometric levelling |

6 | Traversing and triangulation survey |

7 | Total station; Horizontal and vertical curves |

8 | Photogrammetry – scale, flying height |

9 | Remote sensing – basics, platform, and sensors |

10 | Visual image interpretation |

11 | Basics of Geographical information system (GIS) |

12 | Geographical Positioning system (GPS) |

##### GATE Syllabus for Civil Engineering (CE) 2017-2018