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# GATE Mechanical Engineering (ME) Syllabus 2023

** Organisation **: Graduate Aptitude Test In Engineering GATE

**: Mechanical Engineering (ME) Exam**

__Exam Name__**: GATE Mechanical Engineering (ME) Syllabus 2023**

__Announcement__**: https://gate.iitk.ac.in**

__Website__## GATE Mechanical Engineering (ME) Syllabus

In each of the following subjects the topics have been divided 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.

Related / Similar Syllabus: VITEEE Biology Syllabus 2023

## Mechanical Engineering (ME) Syllabus

** 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 S- N 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.

## Download GATE Mechanical Engineering (ME) Syllabus

** Download Full GATE Mechanical Engineering (ME) Syllabus Here **:

http://www.syllabus.gen.in/uploads/pdf2022/3086.pdf