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Download GATE Exam Syllabus For Civil Engineering**Engineering Mathematics**

**Linear Algebra**:

Matrix algebra | Systems of linear equations |

Eigenvalues and eigenvectors |

**Calculus**:

Functions of single variable |
Limit, continuity and differentiability |

Mean value theorems, local maxima and minima, Taylor and McLaurin 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, Stokes, Gauss, and Green’s theorems |

**Ordinary Differential Equation (ODE)**:

First order (linear and non-linear) equations; higher order linear equations with constant coefficients |
Euler-Cauchy equations |

Laplace transform and its application in solving linear ODEs |
Initial and boundary value problems |

**Partial Differential Equation (PDE)**:

First order (linear and non-linear) equations; higher order linear equations with constant coefficients |
Euler-Cauchy equations |

Laplace transform and its application in solving linear ODEs |
Initial and boundary value problems |

**Probability and Statistics**:

First order (linear and non-linear) equations; higher order linear equations with constant coefficients |
Euler-Cauchy equations |

Laplace transform and its application in solving linear ODEs |
Initial and boundary value problems |

**Numerical Methods**:

First order (linear and non-linear) equations; higher order linear equations with constant coefficients |
Euler-Cauchy equations |

Laplace transform and its application in solving linear ODEs |
Initial and boundary value problems |

**Structural Engineering**

**Engineering Mechanics:**

- System of forces, free-body diagrams, equilibrium equations;
- Internal forces in structures;
- Friction and its applications;
- Kinematics of point mass and rigid body;
- Centre of mass;
- Euler’s equations of motion; Impulse-momentum;
- Energy methods;
- Principles of virtual work.

**Solid 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, 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;
- 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.

**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.

**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.

**Geotechnical Engineering**

**Soil Mechanics:**

- Origin of soils, soil structure, and fabric;
- Three-phase system and phase relationships, index properties;
- Unified and Indian standard soil classification system;
- Permeability – one-dimensional flow, Darcy’s law;
- Seepage through soils – two-dimensional flow, flow nets, uplift pressure, piping;
- Principle of effective stress, capillarity, seepage force, and quicksand condition;
- Compaction in laboratory and field conditions;
- One-dimensional consolidation, time rate of consolidation;
- Mohr’s circle, stress paths, effective and total shear strength parameters, characteristics of clays and sand.

**Foundation Engineering:**

- Sub-surface investigations – scope, 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, method of slices and 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.

**Water Resources Engineering**

**Fluid Mechanics:**

- Properties of fluids, fluid statics;
- Continuity, momentum, energy and corresponding equations;
- Potential flow, applications of momentum and energy equations;
- Laminar and turbulent flow;
- Flow in pipes, pipe networks;
- The concept of the boundary layer and its growth.

**Hydraulics:**

- Forces on immersed bodies; Flow measurement in channels and pipes;
- Dimensional analysis and hydraulic similitude;
- Kinematics of flow, velocity triangles;
- Basics of hydraulic machines, specific speed of pumps and turbines;
- Channel Hydraulics – Energy-depth relationships, specific energy, critical flow, slope profile, hydraulic jump, uniform flow and gradually varied flow.

**Hydrology: **

- Hydrologic cycle, precipitation, evaporation, evapotranspirational, watershed, infiltration, unit hydrographs, hydrograph analysis, flood estimation and routing, reservoir capacity, reservoir and channel routing, surface run-off models, groundwater hydrology – steady state well hydraulics and aquifers;
- Application of Darcy’s law.

**Irrigation: **

- Duty, delta, estimation of evapo-transpiration;
- Crop water requirements;
- Design of lined and unlined 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.

**Environmental Engineering**

**Water and Waste Water: **

- 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, effluent discharge standards.
- Domestic wastewater treatment, a 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**

**Transportation Infrastructure**:

- Highway alignment and engineering surveys;
- Geometric design of highways – cross-sectional elements, sight distances, horizontal and vertical alignments;
- Geometric design of railway track;
- Airport runway length, taxiway, and exit taxiway design.

**Highway Pavements**:

- Highway materials – desirable properties and quality 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.

**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 channelization;
- Highway capacity and level of service of rural highways and urban roads.

**Geometrics 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 – 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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