GATE SYLLABUS 2020

IMPORTANT TOPICS FOR GATE 2020: CIVIL ENGINEERING

1. Engineering     mathematics

1. Calculus

• Curl, Divergence, Line Integral • Limits, Taylor Series

• Derivative, Total Derivative,

Maxima and Minima

• Definite & Indefinite integral

• Area between two curves

2. Matrices

• Inverse of a matrix

• Rank of a matrix

• Eigen values and Eigen vector • System of equation

• Basic properties

3. Differential Equation

•         Linear form
• ·        Linear differential equation of
•      higher order calculation of

                     complementary function and

               particular integral.

•        Classification of 2^nd order partial

               Differential equation

4. Probability and statistics

•          Definition of probability
•          Continuous probability

                distribution

•        Uniform distribution

5. Numerical Methods

•        Newton Raphson Method
•         Simpson’s 1/3^rd Rule
•        Trapezoidal Rule
•        Euler’s method of solving

        ordinary differential equation

2. Engineering 

    Mechanics

1. Free body diagrams, equilibrium

equations (Newton's 2 law),

        Friction and its applications,

    Kinematics of point mass and

          rigid body

3. Strength of        Materials

1. Deflection of Beam

• Standard results (for simply supported beams and cantilever)

• Unit load method

• Deflection of beam due to temperature change

2. Bending and Shear Stress

• Flexure formula, moment of resistance calculation

• Distribution of shear stress in and rectangular, triangular,

circular, I-section

• Shear centre and its location

3. Properties of Materials

•         Stress Strain Curve
•         Elongation of bar under axial

               Load

•         Dilation and bulk modulus

4. Principal Stress and 

Strains

• Transformation of plane stress

 • Principal stress and maximum

shear stress

5. SFD & BMD

• Shear force and bending

  moment diagram for different

  loading in various beams, points

    of contraflexure

      • Relation between SF, BM and

           loading intensity

4. Fluid Mechanics

1. Flow through Pipes

• Major and minor loss

• Pipe connection

• Flow through syphon

2. Fluid Properties and 

Manometry

     • Hydrostatic paradox

• U-tube manometer

• Gauge pressure and absolute pressure calculations

3. Fluid Kinematics

• Continuity equation

• Acceleration of fluid particle

• Check for rotationality

• Angular velocity

 4. Fluid Dynamics and Flow

        Measurement

•         Bernoulli’s equation
•         Venturimeter
•        Forces acting on pipe bends

5. Dimensional Analysis

•         Froude Model Law

5. Open Channel Flow

1. Energy Depth Relations

• Critical flow, specific energy, flow transition

2. Gradually Varied Flow

• Classification of flow profiles

• Direct step method

3. Rapidly Varied Flow

•         Hydraulic jump in a horizontal

        Frictionless rectangular channel

6. Hydraulic Machines

1. Impact of Jets

     • Forces exerted by jet on plate

2. Turbines

      • Head and efficiencies of turbine

  3. Pumps

               ·        Specific speed

7. Soil Mechanics and 

     Foundation 

     Engineering

1. Effective Stress, 

     Permeability

    and Seepage Analysis

• Determination of coefficient of

   permeability (constant heed

permeability test)

• Permeability of stratified soil

 (vertical flow)

• Influence of seepage on effective

•  stress

• Flow net

2. Shear Strength of Soil

• Coulomb's Hypothesis

• Relation between major and

minor principal stress at failure in

 a soil mass on the basis of Mohr-

 Coulomb criterion.

3. Shallow Foundation and Bearing Capacity

• Terzeghi Bearing Capacity theory

    for circular, square, rectangular

footings

4. Consolidation of Soil

           ·        Void ratio vs effective stress

        Relationship

           ·        Determination of primary

          Consolidation settlement

           ·        Time factor

5. Deep Foundation

           ·        Static pile load formula in sand

          And clay

           ·        Negative skin frication

           ·        Engineering news record

          Formulae

8. Geometics 

   Engineering

1. Levelling and Contouring

• RC Calculation

• Rise and fell method

• Height of cullimation emthod

• Inverted staff

• Effect of curvature of earth and refraction

• Distance of visible horizon

2. Compass and Traverse

• Local attraction

• Lattitude and departure checks in closed traverse

3. Photogrammetry

·        Vertical photogrammetry

·        Relief displacement

·        Parallax

·        GPS, GIS and remote sensing

·        Satellites

·        Active and passive remote sensing

9. RCC and 

   Prestressed 

   Concrete

1. L.S.M. (Basic)

• Target mean strength

(characteristics strenght)

• Tensile strength of concrete

• Modulus of elasticity (Ec, Ecl )

• Mix design

• Determination of depth of neutral axis, limiting depth,

moment of resistance,

reinforcement

• Flanged beam : Effective width; NOR calculation

2. Footing, Columns, Beam 

    and Slab

• Codel provisions (column) : effective length, emin, longitudinal, Tranverse

eccentricity and Spiral

reinforcement, Axially loaded

Column footing

3. Prestressed Concrete

·        Analysis of prestressed

Concrete member

·        Load balancing concept

·        Losses in prestressed concrete

4. Shear, Bond, Torsion and

    Development Length

•         Normal shear stress calculation
•         Design of section for shear force

·                       Vertical strirrups

       • Equivalent shear and moment

       • Bond : development length

10. Structural Analysis

1. Methods of Structural 

    Analysis

• Moment Distribution Method

   and slope deflection method for

      moment calculations

• Carry over factor

2. Trusses

• Forces in members of truss

• Deflection of truss joints

3. ILD & Rolling Loads

• ILD for SF and BM

• ILD using Muller Bresleu Principle

• Maximum shear force and

    bending moment values due to

        moving loads

4. Determinency and

     Indeterminancy

• Static indeterminacy for frames

        and trusses

• Kinematic indeterminacy for

frames

       • Stability of structure

11. Design of Steel 

      Structures

1. Structural Fasteners

• Eccentric connection (bolt

    subjected to direct loading and

         twisting moment)

• Design strength of fillet weld

        (length of weld/overlap or

permissible stress calculation)

• Eccentric connection using

welding (fillet weld subjected

               to direct load and bending

moment)

2. Plastic Analysis

• Shape factor of different c/s

• Calculation of collapse load

3. Beams

• Classification of cross-section

    • Web buckling and crippling

                  Strength

12. Highway  

      Engineering

1. Traffic Engineering

• Speed density relationship

(Greenshiled model)

• Delay and queue analysis at signalized intersection

• Probability for vehicle arrival (Poisson's distribution)

• Peak hour factor

• Webster approach

• Speed and delay study

2. Highway Geometric Design

• SSD, OSD

• Superelevation, design and

attainment

• Extra Widening

• Length of transition curve

• Grade compensation

• Summit curve

3. Pavement Design

•         Flexible pavement traffic

         Forecast in MSA CBR method,

         VDF, LDF

•         Burmister Theory
•         Rigid pavement, radius of

        Relative stiffness, stress

        Calculation, critical combination

• Spacing of expansion and

     contraction joint, tie bars

4. Highway Material

• Marshall mix design

•         Desirable properties of

         Aggregates

13.  Engineering 

        Hydrology

1. Infiltration, Runoff and

     Hydrograph

• Measurement of infiltration

(using Horton's equation)

• Hydrograph, Direct runoff

hydrogram, unit hydrograph,

flood hydrograph and base

flow calculations

• Peak flow calculations

• Infiltration indices & W-index

• Conversion of UH and using

        s-curve method

2.  Precipitation

        ·        Theissen polygron method

         isohyetal method

3.  Floods, Flood Control and

     Routing

      ·        Risk and reliability analysis

       • Muskingum method of flood

              Routing

14. Environmental 

      Engineering

   1. Water Treatment

• Sedimentation Tank (efficiency

and dimension calculation)

• Filtration (Rapid Sand Filter), Backwashing

• Mixing (coagulation)

• Chicks Watson Law and Chicks Law

2. Air and Noise Pollution

• Conversion of ppm into mg/m • Plume behaviour

• Average sound pressure levels and Leq concept

3. Municipal Solid Waste

     Management

• Numericals based on

determination of energy content

4. Treatment of Wastewater

          ·        Activated sludge process

         (completely mix process)

           ·        Sludge thickening

5. Quality Characteristics of

      Wastewarer

             ·        BOD Calculation

15. Construction 

      Materials

      1. Cement

          • Testing of cement

          • Composition, Bouge's

          compounds

          • Types of cement

      2. Concrete

          • Workability and its

           measurement

      3. Brick

          • Manufacturing of brick

 16. Construction 

        Management

          1. PERT

           • Critical path and its duration

           • Probability of completion of

            project

       2. CPM

            • Calculation of float

       3. Crashing

             • Time Cost Models

17. Irrigation 

      Engineering

     1. Water Requirement of Crops

        • Depth of water held in root zone

        • Frequency of irrigation

        • Duty and delta,

        • Irrigation efficiencies

      2. Theories of Seepage

        • Bligh Creep theory

        • Khosla Theory (exit gradient

       and thickness calculation)

      3. Analysis of gravity dam

        • Uplift pressure calculation

        • Calculation of principle

         stresses at toe

        • Elementary profile of gravity

               dam

       • Check for safety against

             sliding and overturning

               Railway and Airport Engineering

18. Railway and 

     Airport 

  Engineering

       1. Railway 

             • Geometric design of track

             • Superelevation calculation

             • Negative superelevation

       2. Airport : Runway 

             design

            • Basic runway length

            • Corrections in runway length

                     due to temperature elevation

                     and gradient.

19.Verbal and 

    Numerical Ability

•         Reasoning English