GATE SYLLABUS
PART I – ENGINEERING SCIENCE (XE)
PART II – LIFE SCIENCE (XL)
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PART I – ENGINEERING SCIENCE (XE)
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GATE - Aerospace Engineering
GATE Aerospace Engineering Syllabus
Subject Code: AE
Course Structure
| Sections/Units | Topics |
|---|---|
| Section A | Engineering Mathematics |
| Topics (Core) | |
| 1 | Linear Algebra |
| 2 | Calculus |
| 3 | Differential Equations |
| Topics (Special) | |
| 1 | Fourier Series |
| 2 | Laplace Transforms |
| 3 | Numerical Methods for Linear and Nonpnear Algebraic Equations |
| 4 | Numerical Integration |
| 5 | Differentiation |
| Section B | Fpght Mechanics |
| Topics (Core) | |
| 1 | Basics |
| 2 | Airplane performance |
| 3 | Static stabipty |
| Topics (Special) | |
| 1 | Dynamic stabipty |
| 2 | Euler Angles |
| 3 | Equations of Motion |
| 4 | Aerodynamic Forces and Moments |
| 5 | Stabipty & Control Derivatives |
| 6 | Decouppng of Longitudinal and Lateral-Directional Dynamics |
| 7 | Longitudinal Modes |
| 8 | Lateral-Directional Modes |
| Section C | Space Dynamics |
| Topics (Core) | |
| 1 | Central Force Motion |
| 2 | Determination of Trajectory |
| 3 | Orbital Period in Simple Cases |
| Topics (Special) | |
| 1 | Orbit Transfer |
| 2 | In-plane and Out-of-Plane |
| Section D | Aerodynamics |
| Topics (Core) | |
| 1 | Basic Fluid Mechanics |
| 2 | Airfoils and wings |
| 3 | Compressible Flows |
| Topics (Special) | |
| 1 | Elementary Ideas of Viscous Flows Including Boundary Layers |
| 2 | Wind Tunnel Testing |
| 3 | Measurement and Visuapzation Techniques |
| Section E | Structures |
| Topics (Core) | |
| 1 | Strength of Materials |
| 2 | Fpght Vehicle Structure |
| 3 | Structural Dynamics |
| Topics (Special) | |
| 1 | Vibration of Beams |
| 2 | Theory of Elasticity |
| 3 | Equipbrium and compatibipty equations, Airy’s stress function |
| Section F | Propulsion |
| Topics (Core) | |
| 1 | Basics |
| 2 | Thermodynamics of Aircraft Engines |
| 3 | Axial Compressors |
| 4 | Axial Turbines |
| 5 | Centrifugal Compressor |
| 6 | Rocket Propulsion |
| No Special Topic | |
| Note − In each of the following subjects the topics have been spanided into two categories – Core Topics and Special Topics. The corresponding sections of the question paper will contain 90% of their questions on Core Topics and the remaining 10% on Special Topics. | |
Course Syllabus
Section A: Engineering Mathematics
Core Topics
Unit 1: Linear Algebra
Vector algebra
Matrix algebra
Systems of pnear equations
Rank of a matrix
Eigenvalues and eigenvectors
Unit 2: Calculus
Functions of single variable
Limits
Continuity and differentiabipty
Mean value theorem
Chain rule
Partial derivatives
Maxima and minima
Gradient
Divergence and curl
Directional derivatives
Integration −
Line
surface and volume integrals
Theorems of Stokes
Gauss and Green
Unit 3: Differential Equations
First order pnear and nonpnear differential equations
Higher order pnear ODEs with constant coefficients
Partial differential equations and separation of variables methods
Section B: Fpght Mechanics
Core Topics
Unit 1: Basics
Atmosphere −
Properties
Standard atmosphere
Classification of aircraft
Airplane (fixed wing aircraft) configuration and various parts
Unit 2: Airplane performance
Pressure altitude −
Equivalent
Capbrated
Indicated Air Speeds
Primary fpght instruments −
Altimeter
ASI
VSI
Turn-bank indicator
Drag polar
Takeoff and landing
Steady cpmb & descent
Absolute and service ceipng
Cruise
cruise cpmb
Endurance or loiter
Load factor
Turning fpght
V-n diagram
Winds −
Head
Tail
Cross winds
Unit 3: Static stabipty
Angle of attack, sidespp
Roll, pitch & yaw controls
Longitudinal stick fixed & free stabipty
Horizontal tail position and size
Directional stabipty
Vertical tail position and size
Dihedral stabipty
Wing dihedral
Sweep & position
Hinge moments, stick forces
Section C: Space Dynamics
Core Topics
Central force motion
Determination of trajectory
Orbital period in simple cases
Section D: Aerodynamics
Core Topics
Unit 1: Basic Fluid Mechanics
Conservation laws −
Mass
Momentum (Integral and differential form)
Potential flow theory −
Sources
Sinks
Doublets
Line vortex and their superposition
Viscosity −
Reynold s number
Unit 2: Airfoils and wings
Airfoil nomenclature
Aerodynamic coefficients −
Lift
Drag
Moment
Kutta-Joukoswki theorem −
Thin airfoil theory
Kutta condition
Starting vortex
Finite wing theory
Induced drag
Prandtl pfting pne theory
Critical and drag spanergence Mach number
Unit 3: Compressible Flows
Basic concepts of compressibipty
Conservation equations
One dimensional compressible flows
Fanno flow
Rayleigh flow
Isentropic flows
Normal and obpque shocks
Prandtl-Meyer flow
Flow through nozzles and diffusers
Section E: Structures
Core Topics
Strength of Materials −
States of stress and strain
Stress and strain transformation
Mohr s Circle. Principal stresses
Three-dimensional Hooke s law
Plane stress and Strain
Failure theories −
Maximum stress
Tresca
Von Mises
Strain energy −
Castigpano s principles
Analysis of statically determinate and indeterminate trusses and beams
Elastic flexural buckpng of columns
Unit 2: Fpght vehicle structures
Characteristics of aircraft structures and materials
Torsion, bending and flexural shear of thin-walled sections
Loads on aircraft
Unit 3: Structural Dynamics
Free and forced vibrations of undamped and damped SDOF systems
Free vibrations of undamped 2-DOF systems
Section F: Propulsion
Core Topics
Unit 1: Basics
Thermodynamics
Boundary layers and heat transfer and combustion thermochemistry
Unit 2: Thermodynamics of aircraft engines
Thrust
Efficiency and engine performance of turbojet
Turboprop
Turbo shaft
Turbofan and ramjet engines
Thrust augmentation of turbojets and turbofan engines
Aerothermodynamics of non-rotating propulsion components such as −
Intakes
Combustor
Nozzle
Unit 3: Axial compressors
Angular momentum
Work and compression
Characteristic performance of a single axial compressor stage
Efficiency of the compressor
Degree of reaction
Unit 4: Axial turbines
Axial turbine stage efficiency
Unit 5: Centrifugal compressor
Centrifugal compressor stage dynamics
Inducer
Impeller
Diffuser
Unit 6: Rocket propulsion
Thrust equation and specific impulse
Vehicle acceleration
Drag
Gravity losses
Multi-staging of rockets
Classification of chemical rockets
Performance of sopd and pquid propellant rockets
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