Mechanical Engineering

The Graduate Aptitude Test in Engineering (GATE) Mechanical Engineering syllabus covers a broad range of topics related to mechanical engineering and its applications. Below is a comprehensive list of topics typically included in the GATE Mechanical Engineering syllabus:

1. Engineering Mathematics:

   • Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.
   • Calculus: Functions of single and multiple variables, limits, continuity, and differentiability, mean value theorem, partial derivatives, total derivative, maxima and minima, gradient, divergence and curl, vector identities, directional derivatives.
   • Differential Equations: First-order ordinary differential equations (ODEs), higher-order ODEs, linear ODEs, exact solutions, series solutions, boundary value problems, partial differential equations (PDEs) – heat equation, wave equation, Laplace equation.
   • Numerical Methods: Numerical solutions of algebraic equations, interpolation and extrapolation, numerical integration, numerical differentiation, initial value problems, boundary value problems.

2. Applied Mechanics and Design:

   • Engineering Mechanics: Free body diagrams, equations of equilibrium, trusses, frames, and beams, friction, centroids, moments of inertia.
   • Strength of Materials: Stress and strain, elastic constants, Mohr’s circle for plane stress and plane strain, thermal stresses, strain energy, theories of failure.
   • Theory of Machines: Kinematics and dynamics of machines, gear trains, flywheels, balancing of machines, governors, and gyroscope.
   • Vibrations: Free and forced vibration of single degree of freedom systems, resonance, damping, critical speeds of shafts.

3. Fluid Mechanics and Thermal Sciences:

   • Fluid Mechanics: Fluid properties, fluid statics, fluid kinematics, Bernoulli’s equation, viscous flow, boundary layer, drag, lift, pipe and open channel flow, dimensional analysis, hydraulic machinery.
   • Heat Transfer: Conduction, convection, radiation, heat exchangers, heat transfer by fins, boiling, and condensation.
   • Thermodynamics: Zeroth, first, and second laws of thermodynamics, entropy, properties of pure substances, steam tables, thermodynamic cycles, refrigeration and air conditioning.

4. Materials, Manufacturing, and Industrial Engineering:

   • Engineering Materials: Structure and properties of engineering materials, phase diagrams, heat treatment, ferrous and non-ferrous alloys, ceramics, polymers, composites.
   • Manufacturing Processes: Casting, welding, machining, metal forming, metal cutting, metrology, inspection.
   • Industrial Engineering: Production planning and control, inventory control, operations research, linear programming, transportation and assignment models, queuing theory, project management.

5. General Aptitude:

   • Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning, verbal deduction.
   • Numerical Ability: Numerical computation, numerical estimation, numerical reasoning, data interpretation.