#### GATE 2015 Mechanical Engineering Exam Pattern,Syllabus

New Delhi, Sep 30 (): GATE aspirants waiting to know the exam pattern and syllabus of GATE 2015 Mechanical Engineering (ME) may refer the details given below.

GATE 2015 Mechanical Engineering (ME) Exam Pattern

GATE 2015 will consist of two different types of questions such as multiple choice questions and numerical answer questions.

Each paper will have 65 questions carrying 100 marks in total, out of which 10 questions will be asked from General Aptitude (GA) for 15 marks.

While Engineering Mathematics will carry around 15% of the total marks, General Aptitude section will carry 15% and rest of the 70% will go to the subject paper.

GATE 2015 Mechanical Engineering (ME) Exam Syllabus

Engineering Mathematics

 Linear Algebra Systems of linear equations, Matrix algebra, Eigen values and Eigen vectors

 Calculus Mean value theorems, Evaluation of definite and improper integrals

 Differential equations Higher order linear differential equations with constant coefficients, First order equations (linear and non-linear), Cauchy’s and Euler’s equations, Initial and boundary value problems, Solutions of one dimensional heat and wave equations and Laplace equation, Laplace transforms.

 Complex variables . Cauchy’s integral theorem, : Analytic functions, Taylor and Laurent series.

 Probability and Statistics Conditional probability, Random variables, Position,Normal and Binomial distributions, Definitions of probability and sampling theorems, Mean, median, mode and standard deviation.

 Numerical Methods Single and multi-step methods for differential equations, Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson’s rule.

Applied Mechanics and Design

Engineering Mechanics

 Trusses and frames; trusses and frames; virtual work; kinematics and dynamics of particles and of rigid bodies in plane motion, including impulse and momentum (linear and angular) and energy formulations; impact.

 Strength of Materials Mohr’s circle for plane stress and plane strain, : Stress and strain, stress-strain relationship and elastic constants, thin cylinders; shear force and bending moment diagrams; deflection of beams; torsion of circular shafts; Euler’s theory of columns; strain energy methods; thermal stresses, bending and shear stresses.

 Theory of Machines Velocity and acceleration analysis of plane mechanisms, Displacement, effect of damping, gear trains; flywheels, dynamic analysis of slider-crank mechanism.

 Vibrations Effect of damping, vibration isolation, Free and forced vibration of single degree of freedom systems, resonance, critical speeds of shafts.

 Design fatigue strength and the S-N diagram, Design for static and dynamic loading; failure theories; principles of the design of machine elements such as bolted, riveted and welded joints, rolling and sliding contact bearings, brakes and clutches, spur gears.

For more details candidates may visit the official website at http://gate.iitk.ac.in/GATE2015/#