# GATE 2018 syllabus For Mechanical Engineering Verbal, Technical

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__GATE 2018 syllabus For Mechanical Engineering Verbal, Technical __

GATE 2018 Syllabus for Mechanical Engineering (ME) is available with GATE Topper for your reference. You may download the PDF version of the same and use it for your preparations. Go ahead and prepare well for the exam. We wish you all the very best. GATE Syllabus for Mechanical Engineering is divided into four major sections namely Engineering Mathematics, Applied Mechanics and Design, Fluid Mechanics and Thermal Sciences and Materials, Manufacturing and Industrial Engineering.

*Exam Pattern :*Exam Pattern |

__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 –40oF to 500oF. For measuring temperature below –40oF, 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 500oF, 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 1000oF.”

With what, besides mercury, would a thermometer be filled if it was designed to be used for measuring temperature of about 500oF?

(A) Pyrometer (B) Inert gas (C) Iron and brass (D) Gas

Ans. (B)

**Numerical Ability**

Q.5. In a survey, 3/16 of the people surveyed told that they preferred to use public transport while commuting daily to office. 5/8 of the people surveyed told that they preferred to use their own vehicles. The remaining 75 respondents said that they had no clear preference. How many people preferred to use public transport?

(A) 75 (B) 100 (C) 125 (D) 133

Ans. (A)

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__Technical Syllabus :__

**Section 1: Engineering Mathematics**

**Linear Algebra:**Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.

**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.**

__Calculus:__**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.

**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.**

__Applications:__**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

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