The **Graduate Aptitude Test in Engineering (GATE) **is a national level entrance examination in India, which is generally recognized by many prestigious public sector undertakings as well as private sector enterprises. It is conducted jointly by seven Indian Institutes of Technology, namely Delhi, Kanpur, Kharagpur, Madras, Mumbai, Roorkee and Guwahati and IISc Bangalore. The test is an aptitude exam primarily aimed towards professionals in the graduate level.

This article is written for the candidates who are preparing for **GATE 2023** Mechanical Engineering and looking for a good study plan to prepare for **GATE Exam**. This article contains the syllabus of Mechanical Engineering for GATE exam 2023.

## GATE Syllabus for Mechanical Engineering

The GATE syllabus for Mechanical Engineering is divided into four sections:

- Section 1: Engineering Mathematics
- Section 2: Applied Mechanics and Design
- Section 3: Fluid Mechanics and Thermal Sciences
- Section 4: Materials, Manufacturing, and Industrial Engineering

#### Section-1: 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,

indeterminate forms; evaluation of definite and improper integrals; double and triple integrals; partial

derivatives, total derivative, Taylor series (in one and two variables), maxima and minima, Fourier

series; gradient, divergence and curl, vector identities, directional derivatives, line, surface and

volume integrals, applications of Gauss, Stokes and Green’s theorems.**Differential equations:** First order equations (linear and nonlinear); higher order linear differential

equations with constant coefficients; Euler-Cauchy equation; initial and boundary value problems;

Laplace transforms; solutions of heat, wave and Laplace’s equations.**Complex variables:** Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theorem and

integral formula; Taylor and Laurent series.**Probability and Statistics:** Definitions of probability, sampling theorems, conditional probability;

mean, median, mode and standard deviation; random variables, binomial, Poisson and normal

distributions.**Numerical Methods:** Numerical solutions of linear and non-linear algebraic equations; integration by

trapezoidal and Simpson’s rules; single and multi-step methods for differential equations.

#### Section-2: Applied Mechanics and Design

**Engineering Mechanics:** Free-body diagrams and equilibrium; friction and its applications including

rolling friction, belt-pulley, brakes, clutches, screw jack, wedge, vehicles, etc.; trusses and frames;

virtual work; kinematics and dynamics of rigid bodies in plane motion; impulse and momentum (linear

and angular) and energy formulations; Lagrange’s equation.**Mechanics of Materials:** Stress and strain, elastic constants, Poisson’s ratio; Mohr’s circle for plane

stress and plane strain; thin cylinders; shear force and bending moment diagrams; bending and

shear stresses; concept of shear centre; deflection of beams; torsion of circular shafts; Euler’s theory

of columns; energy methods; thermal stresses; strain gauges and rosettes; testing of materials with

universal testing machine; testing of hardness and impact strength.**Theory of Machines:** Displacement, velocity and acceleration analysis of plane mechanisms;

dynamic analysis of linkages; cams; gears and gear trains; flywheels and governors; balancing of

reciprocating and rotating masses; gyroscope.**Vibrations:** Free and forced vibration of single degree of freedom systems, effect of damping;

vibration isolation; resonance; critical speeds of shafts.

**Machine Design:** Design for static and dynamic loading; failure theories; fatigue strength and the SN diagram; principles of the design of machine elements such as bolted, riveted and welded joints;

shafts, gears, rolling and sliding contact bearings, brakes and clutches, springs.

#### Section-3: Fluid Mechanics and Thermal Science

**Fluid Mechanics:** Fluid properties; fluid statics, forces on submerged bodies, stability of floating

bodies; control-volume analysis of mass, momentum and energy; fluid acceleration; differential

equations of continuity and momentum; Bernoulli’s equation; dimensional analysis; viscous flow of

incompressible fluids, boundary layer, elementary turbulent flow, flow through pipes, head losses in

pipes, bends and fittings; basics of compressible fluid flow.**Heat-Transfer:** Modes of heat transfer; one dimensional heat conduction, resistance concept and

electrical analogy, heat transfer through fins; unsteady heat conduction, lumped parameter system,

Heisler’s charts; thermal boundary layer, dimensionless parameters in free and forced convective

heat transfer, heat transfer correlations for flow over flat plates and through pipes, effect of

turbulence; heat exchanger performance, LMTD and NTU methods; radiative heat transfer, StefanBoltzmann law, Wien’s displacement law, black and grey surfaces, view factors, radiation network

analysis**Thermodynamics:** Thermodynamic systems and processes; properties of pure substances, behavior

of ideal and real gases; zeroth and first laws of thermodynamics, calculation of work and heat in

various processes; second law of thermodynamics; thermodynamic property charts and tables,

availability and irreversibility; thermodynamic relations.**Applications:** Power Engineering: Air and gas compressors; vapour and gas power cycles, concepts

of regeneration and reheat. I.C. Engines: Air-standard Otto, Diesel and dual cycles. Refrigeration

and air-conditioning: Vapour and gas refrigeration and heat pump cycles; properties of moist air,

psychrometric chart, basic psychrometric processes. Turbomachinery: Impulse and reaction

principles, velocity diagrams, Pelton-wheel, Francis and Kaplan turbines; steam and gas turbines.

#### Section-4: Materials, Manufacturing and Industrial Engineering

**Engineering Materials:** Structure and properties of engineering materials, phase diagrams, heat

treatment, stress-strain diagrams for engineering materials.**Casting, Forming and Joining Processes:** Different types of castings, design of patterns, moulds and

cores; solidification and cooling; riser and gating design. Plastic deformation and yield criteria;

fundamentals of hot and cold working processes; load estimation for bulk (forging, rolling, extrusion,

drawing) and sheet (shearing, deep drawing, bending) metal forming processes; principles of powder

metallurgy. Principles of welding, brazing, soldering and adhesive bonding.**Machining and Machine Tool Operations:** Mechanics of machining; basic machine tools; single and

multi-point cutting tools, tool geometry and materials, tool life and wear; economics of machining;

principles of non-traditional machining processes; principles of work holding, jigs and fixtures;

abrasive machining processes; NC/CNC machines and CNC programming.

**Metrology and Inspection:** Limits, fits and tolerances; linear and angular measurements;

comparators; interferometry; form and finish measurement; alignment and testing methods;

tolerance analysis in manufacturing and assembly; concepts of coordinate-measuring machine

(CMM).**Computer Integrated Manufacturing:** Basic concepts of CAD/CAM and their integration tools; additive

manufacturing.** Production Planning and Control:** Forecasting models, aggregate production planning, scheduling,

materials requirement planning; lean manufacturing.** Inventory Control:** Deterministic models; safety stock inventory control systems.** Operations Research:** Linear programming, simplex method, transportation, assignment, network

flow models, simple queuing models, PERT and CPM.

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