Analysis of previous 5 year Gate Paper 2015 to 2019

Updated: Dec 29, 2020



Unit-1 Engineering mathematics


## Linear Algebra_________________________________25 marks

Matrices __________________________________________ 5 marks

Properties of Determinants ________________________ 1 marks

Eigen Value and Eigen Vector ______________________10 marks

Rank of Matrix _____________________________________3 marks

Inverse of Matrix ___________________________________2 marks

System of Equation ________________________________4 marks


## Calculus_______________________________________36 marks

Basic Integral and Definite Integration_____________4 marks

Limits and Standard Theorem_____________________4 marks

Continuity and Differentiability____________________0 marks

Maxima and Minima______________________________5 marks

Directional Derivative and Gradient_______________ 2 marks

Area and Volume of Curves________________________8 marks

Vectors and Line Integrals_________________________4 marks

Partial Derivatives_________________________________9 marks


## Differential Equation___________________________20 marks

1st Order DE_______________________________________4 marks

Orderand Degree__________________________________0 marks

Equation of nth degree and order__________________16 marks

Orthogonal trajectory______________________________0 marks


## Complex Function_____________________________3 marks

Complex Function and limits______________________0 marks

Analytic Function_________________________________0 marks

Residues__________________________________________3 marks


## Probability and Statistics

Probability________________________________________10 marks

Distribution Functions____________________________ 11 marks


## Numerical Methods___________________________15 marks

Numerical Solution of linear equations____________0 marks

Numerical Solution by Iterative Methods__________8 marks

Numerical Integration Methods___________________3 marks

Numerical Solution of Differential Equation_______4 marks


## Laplace Transforms____________________________2 marks


## Fourier Series and Transform__________________2 marks

FourierSeries_____________________________________1 marks

Taylors Series Expansion__________________________1 marks


Unit II- Strength of material


## Stress and Strain______________________________13 marks

Properties of Metal_______________________________0 marks

Elastic Constant__________________________________0 marks

Stress and Strain__________________________________4 marks

Stresses in Member_______________________________1 marks

Deflection of Bar__________________________________2 marks

Strain Energy_____________________________________6 marks


## Shear Force and Bending Moment____________ 8 marks

SF and BM________________________________________3 marks

SF and BM diagram_______________________________5 marks


## Principal Stress and Principal Strain____________7 marks

Stress, Strain and Shear___________________________5 marks

Mohr circle method_______________________________2 marks

Theories of failure_________________________________0 marks


## Bending and Shear Stress_____________________9 marks

Bending stress distribution_______________________7 marks

Shear stress Distribution__________________________2 marks

Combined stress__________________________________0 marks

Extra______________________________________________0 marks


## Deflection of Beam____________________________14 marks

Deflection of Beams_______________________________14 marks


## Torsion of Shafts and Pressure Vessels__________4 marks

Torsion of Shafts___________________________________3 marks

Pressure Vessels___________________________________1 marks


## Columns and Shear Centre_____________________4 marks

Theory of Columns_________________________________4 marks

Shear Centre_______________________________________0 marks


Unit-III Strucure Analysis


## Determinacy and Indeterminacy______________ 7 marks

Static Indeterminacy_____________________________5 marks

Kinematic Indeterminacy________________________2 marks


## Influence Line Diagram and Rolling Loads____4 marks

ILD______________________________________________2 marks

Rolling Load over Beam_________________________ 2 marks

MullerBreslau Principal__________________________0 marks


## Arches______________________________________1 marks

3 Hinged Arch__________________________________0 marks

2 Hinged arch__________________________________ 1 marks


## Trusses_____________________________________12 marks

Methods of Joint_______________________________8 marks

Method of sections____________________________2 marks

Unit Load Method_____________________________0 marks

Deflection in Truss Members___________________2 marks


## Methods of Structural Analysis______________14 marks

Basic Method of Analysis_______________________3 marks

Displacement Method__________________________9 marks

Force Method__________________________________2 marks


## Matrix Method of Structural Analysis________1 marks

Flexibility Matrix_______________________________0 marks

Stiffness Matrix________________________________1 marks


Unit-IV Structure and Prestressed Concrete


## Theory of RCC Structure

Concrete Mix Design___________________________13 marks

Reinforced Concrete____________________________0 marks

Stress and Strain Curve_________________________7 marks


## Working Stress and Limit Stress Method

Limit Stress Method____________________________1 marks

Limit depth of neutral axis______________________5 marks


## Shear and Torsion

Shear____________________________________________6 marks

Torsion__________________________________________0 marks


## Bond and Anchorage________________________ 3 marks


## Column, Footing, Stairs & Water Tank, Beams and Slab

IS Standards of Column__________________________2 marks

Design of Column_______________________________3 marks

Footing_________________________________________0 marks

Water Tank and Stairs___________________________1 marks

Beams and Slab________________________________4 marks


## Prestressed Concrete________________________10 marks

Prestress Concrete______________________________2 marks

Curve Profile of cable____________________________2 marks

Analysis of Prestress and Bending Stress_________2 marks

Deflection and Slope in Prestress________________2 marks

Losses in Prestress_______________________________2 marks


Unit-V RCC Structures and Prestressed Concrete


## Methods of Connections___________________18 marks

Theory of Steel Structures_____________________0 marks

Riveted Joint__________________________________0 marks

Bolted Joint___________________________________4 marks

Eccentric Riveted Connection_________________6 marks

Design Of Welded Connection________________8 marks

Eccentric Welded Connection________________ 0 marks


## Tension Members___________________________1 marks

Design Of Tension Members____________________1 marks


## Compression Members_____________________1 marks

IS-Code________________________________________0 marks

Lacing and Battens____________________________1 marks


## Design of Flexure Members_________________7 marks

Theory of Beam________________________________1 marks

Beams_________________________________________6 marks

Stiffeners______________________________________ 0 marks


## Industrial Roofs and Girders_________________0 marks

Plate Girders___________________________________0 marks

Gantry Girders__________________________________0 marks

Design of Purlins________________________________0 marks


## Plastic Analysis_____________________________14 marks

Shape Factors_________________________________0 marks

Plastic Hinge__________________________________0 marks

Principal of Virtual Work_______________________4 marks

Plastic Moment of Section_____________________2 marks

Collapse Load_________________________________ 8 marks

Plastic analysis of Frames______________________0 marks


Unit-VI Geotechnical Engineering


## Properties of Soil___________________________17 marks

Soil Water Relationship________________________12 marks

Consistency Limits_____________________________5 marks


## Classification of Soil and Clay Minerals_______2 marks

Methods of Classification of soil_________________0 marks

Index Properties of Soil_________________________1 marks

Clay Minerology________________________________1 marks


## Effective Stress and Permeability_____________17 marks

Effective stress on soil___________________________2 marks

Capillarity_______________________________________0 marks

Seepage Effect on Effective stress_______________2 marks

Darcy's Law_____________________________________7 marks

Permeability and its Measurement______________6 marks


## Consolidation and Compressibility____________17 marks

Compressibility Coefficients_____________________6 marks

Settlement of Soil Solids_________________________6 marks

Coefficient of consolidation______________________1 marks

Time rate of Consolidation_______________________3 marks

Pore pressure Parameters________________________1 marks


## Seepage Through Soil________________________10 marks

Seepage Analysis________________________________5 marks

Properties of Flow Net___________________________2 marks

Quick Sand Condition____________________________3 marks


## Compaction of Soil____________________________2 marks

Theory of Compaction____________________________2 marks

Proctor Tests_____________________________________0 marks


## Vertical Stress_________________________________4 marks


## Shear Strength of soil__________________________16 marks

Mohr Coulomb failure Theory_____________________3 marks

Measurements of shear strength__________________1 marks

Pore Pressure Parameter__________________________8 marks

Stress path Method_______________________________4 marks


## Earth Pressure and Retaining Wall______________14 marks

Types of Lateral Earth Pressure_____________________2 marks

Earth Pressure Theory______________________________3 marks

Active and Passive Earth Pressure in Cohesive soil___7 marks

Braced Excavation and Retaining Structures________2 marks


## Stability of Slopes________________________________6 marks

Stability of Infinite Slopes___________________________3 marks

Stability of Finite Slopes_____________________________3 marks

Stability Number____________________________________0 marks


## Shallow Foundation_______________________________17 marks

Bearing Capacity based on Analytic Method__________13 marks

Types of Foundation and Shear Failure________________2 marks

Bearing Capacity based on Field Test__________________1 marks

Settlement of Foundation_____________________________1 marks


## Deep Foundation_________________________________14 marks

Single pile load Capacity______________________________12 marks

Group Pile load Capacity______________________________0 marks

Negative Skin Friction and Underreamed Pile_________2 marks


## Soil Stabilization and Soil Exploration______________3 marks

Methods of excavation________________________________0 marks

Collection of soil sample______________________________3 marks

Stabilization of soil____________________________________0 marks


Unit-VII Fluid Mechanics and Hydraulic Machinery


## Fluid Properties and Manometry________________9 marks

Fluid Properties of fluid_____________________________3 marks

Fluid Pressure and Measurement___________________6 marks


## Hydrostatic Forces______________________________4 marks


## Buoyancy and Floatation________________________0 marks


## Fluid Kinematics_________________________________6 marks

Types of fluid and Flow lines_________________________4 marks

Motion of Fluid Elements____________________________2 marks


## Fluid Dynamics__________________________________3 marks

Fluid Dynamics__________________________________2 marks

Flow Measurements_________________________________1 marks


## Laminar Flow____________________________________3 marks


## Flow Through Pipes

Pipe Flows__________________________________________2 marks

Losses in Pipes______________________________________6 marks

Pipe Connection____________________________________4 marks

Pipe Network_______________________________________1 marks


## Boundary Layer Flow____________________________0 marks


## Drag and Lift____________________________________0 marks


## Turbulent Flow__________________________________2 marks


## Dimensional Analysis____________________________7 marks

Dimensional Analysis____________________________2 marks

Model Analysis______________________________________5 marks


## Impact of Jets and Turbines______________________2 marks

Impact of Jets_______________________________________2 marks

Hydraulic Turbines___________________________________0 marks


## Hydraulic Pump___________________________________1 marks


## Open Channel Flow_______________________________25 marks

Theory of OCF________________________________________3 marks

Economical Channel Section__________________________2 marks

Energy Depth Relationship____________________________3 marks

Channel Transition____________________________________4 marks

Gradually Varied Flow_________________________________9 marks

Rapid Varied Flow_____________________________________4 marks

Surges________________________________________________0 marks


Unit-VIII Enviromental Engineering


## Water Demand and Population Forecasting_______0 marks


## Quality Parameters of Water___________________________12 marks

Physical Parameters______________________________________0 marks

Chemical Parameters_____________________________________12 marks

Biological Parameters_____________________________________0 marks


## Treatment of Water___________________________________20 marks

Screening And Aeration___________________________________2 marks

Sedimentation and Coagulation___________________________8 marks

Flocculation and Mixing___________________________________2 marks

Filteration_________________________________________________6 marks

Disinfection_______________________________________________2 marks


## Well Hydraulics and Water Distribution_________________5 marks

Well Hydraulics____________________________________________5 marks

Pipe Appurtenances_______________________________________0 marks


## Sewers and Sewerage System___________________________3 marks

Design of Sewers___________________________________________2 marks

Sewer Appurtenances______________________________________0 marks

Ventilation in Sewers_______________________________________1 marks


## Waste Water Characteristics_____________________________13 marks

Physical and chemical Characteristics_______________________1 marks

Biochemical oxygen Demand_______________________________12 marks


## Disposal of Sewage Effluent______________________________1 marks

BIS standards for Sewage Disposals__________________________0 marks

Disposal of Sewage and Oxygen Deficient____________________1 marks


## Treatment of Waste Water _______________________________16 marks

Treatment Methods_________________________________________2 marks

Design of Aeration Tank_____________________________________4 marks

Aerobic and anaerobic_______________________________________0 marks

Trickling Filter Process_______________________________________2 marks

Activated sludge Process_____________________________________6 marks

Oxidation pond and Septic Tank______________________________2 marks

Sludge Digestion Process_____________________________________0 marks


## Solid Waste Management________________________________7 marks


## Air and Noise Pollution____________________________________23 marks

Air Pollutants_________________________________________________6 marks

Dispersion of Air Pollutants___________________________________3 marks

Control of Air Pollution________________________________________5 marks

Conversion of Units___________________________________________2 marks

Noise Pollution_______________________________________________7 marks


Unit-IX Irrigation Engineering


## Water Requirement of Crops____________________________8 marks

Methods of Irrigation________________________________________0 marks

Soil Moisture- Plant Relationship_____________________________0 marks

Water Requirement of Crops_________________________________8 marks


## Design of Lined and Unlined Canals______________________1 marks

Kennedy's Theory____________________________________________0 marks

Lacey's Theory_______________________________________________1 marks


## Gravity Dams____________________________________________1 marks


## Seepage Theory, Spillways and Miscellaneous____________1 marks

Canal Regulation Work______________________________________1 marks

Seepage Theory_____________________________________________0 marks

Cross Drainage Works_______________________________________0 marks


Unit-X Engineering Hydrology


## General Aspect of Hydrology______________________________0 marks


## Precipitation and Its Measurements_______________________7 marks


## Abstraction from Precipitation_____________________________2 marks

Analytical Methods___________________________________________2 marks

Evapotranspiration___________________________________________0 marks

Cross Drainage Work_________________________________________0 marks


## Infiltration and Run-OFF_________________________________ 6 marks

Infiltration___________________________________________________3 marks

Infiltration Indices____________________________________________3 marks


## Hydrograph______________________________________________11 marks

Unit Hydrograph_____________________________________________8 marks

Triangular Hydrograph_______________________________________1 marks

S Curve______________________________________________________2 marks


## Flood and Flood Routing__________________________________4 marks

Peak Flood Hydrograph______________________________________0 marks

Probability Flood Occurrence_________________________________2 marks

Flood Routing________________________________________________1 marks

Muskingum Method__________________________________________1 marks


Unit-XI Transportation Engineering