GATE (ME)

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GATE Exam Pattern

The GATE helps evaluate graduates to ensure that they have the required skill set and consistency to pursue higher studies in the field of engineering.
Paper Structure

• 65 Multiple Choice Questions for 100 marks
• Duration: 3 hours
• 1/3rd negative marking
• 10 General Aptitude questions for 15 marks
• Compulsory Engineering Mathematics questions for 15 marks

Paper Code	Patterns of Question papers	Negative Marks for wrong Answer
Electronics and Communications Engineering (EC), Instrumentation Engineering (IN), Electrical Engineering (EE), Computer Science and IT (CS), Mechanical Engineering (ME) Civil Engineering (CE)	Q.1 to Q.25: Will carry one mark each (sub-total 25 marks).	1/3 mark will be deducted for each wrong answer.
	Q.26 to Q.55: Will carry two marks each (sub-total 60 marks)	2/3 mark will be deducted for each wrong answer.
	Q.48 Multiple Choice Questions (MCQ) carrying 1 or 2 marks each in all papers and sections. These questions are objective in nature, and each will have a choice of four answers, out of which the candidate has to mark the correct answer(s).
	Numerical Answer Questions of 1 or 2 marks each in all papers and sections. For these questions the answer is a real number, to be entered by the candidate using the virtual keypad. No choices will be shown for this type of questions.
	Q.56 to Q.60: From General Aptitude (GA) will carry one mark each (sub-total 5 marks).	1/3 mark will be deducted for each wrong answer.
	Q.61 to Q.65 : From GA will carry two marks each (sub-total 10 marks)	2/3 mark will be deducted for each wrong answer.
	Each of these papers will have some questions on Engineering Mathematics carrying 15 marks.

GATE SYLLABUS

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

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; 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.

Section 3: Fluid Mechanics and Thermal Sciences

Fluid Mechanics: Fluid properties; fluid statics, manometry, buoyancy, 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.

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, Stefan-Boltzmann law, Wien's displacement law, black and grey surfaces, view factors, radiation network analysis.

Thermodynamics: Thermodynamic systems and processes; properties of pure substances, behaviour 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.

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, design of jigs and fixtures.

Metrology and Inspection: Limits, fits and tolerances; linear and angular measurements; comparators; gauge design; interferometry; form and finish measurement; alignment and testing methods; tolerance analysis in manufacturing and assembly.

Computer Integrated Manufacturing: Basic concepts of CAD/CAM and their integration tools.

Production Planning and Control: Forecasting models, aggregate production planning, scheduling, materials requirement planning.

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
Syllabus for General Aptitude (GA) 
(COMMON TO ALL PAPERS)
Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, 
instructions, critical reasoning and verbal deduction. 
Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data 
interpretation. 
Sample Questions
Verbal Ability
Q.1. Choose the appropriate answer to complete the following sentence: 
To those of us who had always thought him timid, his --------- came as a surprise. 
(A) intrepidity (B) inevitability (C) inability (D) inertness 
Ans. (A)
Q.2. Choose the appropriate answer to complete the following sentence: 
Medicine is to illness as law is to _________ 
(A) discipline (B) anarchy (C) treason (D) etiquette 
Ans. (B)
Q.3. Read the following paragraph : 
“The ordinary form of mercury thermometer is used for temperature ranging from –40o
F to 
500o
F. For measuring temperature below –40o
F, thermometers filled with alcohol are used. 
These are, however, not satisfactory for use in high temperatures. When a mercury thermometer 
is used for temperature above 500o
F, the space above the mercury is filled with some inert gas, 
usually nitrogen or carbon dioxide, placed in the thermometer under pressure. As the mercury 
rises, the gas pressures is increased, so that it is possible to use these thermometers for 
temperatures as high as 1000o
F.” 
With what, besides mercury, would a thermometer be filled if it was designed to be used 
for measuring temperature of about 500o
F? 
(A) Pyrometer (B) Inert gas (C) Iron and brass (D) Gas 
Ans. (B)
Q.4. The cost of manufacturing tractors in Korea is twenty percent less than the cost of 
manufacturing tractors in Germany. Even after transportation fees and import taxes are added, it 
is still cheaper to import tractors from Korea to Germany than to produce tractors in Germany. 
Which of the following assertions is best supported by the above information? 
(A) Labour costs in Korea are twenty percent below those in Germany. 
(B) Importing tractors into Germany will eliminate twenty percent of the manufacturing jobs in 
Germany. 
(C) The costs of transporting a tractor from Korea to Germany is more than twenty percent 
ofthe cost of manufacturing the tractor in Korea. 
(D) The import taxes on a tractor imported from Korea to Germanyis less than twenty 
 percentof the cost of manufacturing the tractor in Germany. 
Ans. (D)
Numerical Ability
 Q.5. In a survey, 3/16 of the people surveyed told that they preferred to use publictransport 
while commuting daily to office. 5/8 of the people surveyed told that theypreferred to use their 
own vehicles. The remaining 75 respondents said thatthey had no clear preference. How many 
people preferred to use publictransport? 
(A) 75 (B) 100 (C) 125 (D) 133 

Ans. (A)

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