**Mechanical engineering GATE 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; 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.

**Free Sample Chapter for Fluid Mechanics**

**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.

**Free Sample Chapter for Heat Transfer**

**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 que.

**Mechanical engineering IES Exam pattern & syllabus **

**STAGE-1: PRELIMINARY EXAM**

This paper estimated to be conducted in month of February. The question paper will consists of objective type questions only.

STAGE 1/ PRELIMINARY EXAM ( OBJECTIVE TYPE PAPER) |
||

Paper-1 | General Studies and Engineering Aptitude Paper | 2 Hrs 200 Marks |

Paper-2 | Engineering Discipline-specific Paper | 3 Hrs 300 Marks |

Sub Total Marks | 500 Marks |

**General Studies and Engineering Aptitude**

The questions from the following Topics will be set in Paper-I of Stage-I

Current issues of national and international importance relating to social, economic and industrial development

Engineering Aptitude covering Logical reasoning and Analytical ability

Engineering Mathematics and Numerical Analysis

General Principles of Design, Drawing, Importance of Safety

Standards and Quality practices in production, construction, maintenance and services

Basics of Energy and Environment: Conservation, environmental pollution and degradation, Climate Change, Environmental impact assessment

Basics of Project Management

Basics of Material Science and Engineering

Information and Communication Technologies (ICT) based tools and their applications in Engineering such as networking, e-governance and technology based education.

Ethics and values in engineering profession

**STAGE-2: MAINS EXAM**

Once candidate qualify preliminary Examination then, candidate will be eligible to appear for mains examination. The mains paper estimated to be conducted in the last week of June. The question paper will consists of subjective/conventional type questions only.

STAGE 2/ MAINS EXAM ( SUBJECTIVE PAPER) | ||

Paper-1 | Engineering Discipline-specific Paper-I | 2 Hrs 300 Marks |

Paper-2 | Engineering Discipline-specific Paper-II | 3 Hrs 300 Marks |

Sub Total Marks | 600 Marks |

**UPSC IES Syllabus 2017 for Mechanical Engineering**

**Mechanical Engineering Conventional Paper – I**

Fluid Mechanics: Basic Concepts and Properties of Fluids, Manometry, Fluid Statics, Buoyancy, Equations of Motion, Bernoulli’s equation and applications, Viscous flow of incompressible fluids, Laminar and Turbulent flows, Flow through pipes and head losses in pipes.

Thermodynamics and Heat transfer: Thermodynamic systems and processes; properties of pure substance; Zeroth, First and Second Laws of Thermodynamics; Entropy, Irreversibility and availability; analysis of thermodynamic cycles related to energy conversion: Rankine, Otto, Diesel and Dual Cycles; ideal and real gases; compressibility factor; Gas mixtures. Modes of heat transfer, Steady and unsteady heat conduction, Thermal resistance, Fins, Free and forced convection, Correlations for convective heat transfer, Radiative heat transfer– Radiation heat transfer coefficient; boiling and condensation, Heat exchanger performance analysis

IC Engines, Refrigeration and Air conditioning: SI and CI Engines, Engine Systems and Components, Performance characteristics and testing of IC Engines; Fuels; Emissions and Emission Control. Vapour compression refrigeration, Refrigerants and Working cycles, Compressors, Condensers, Evaporators and Expansion devices, Other types of refrigeration systems like Vapour Absorption, Vapour jet, thermoelectric and Vortex tube refrigeration. Psychometric properties and processes, Comfort chart, Comfort and industrial air conditioning, Load calculations and Heat pumps.

Turbo Machinery: Reciprocating and Rotary pumps, Pelton wheel, Kaplan and Francis Turbines, velocity diagrams, Impulse and Reaction principles, Steam and Gas Turbines, Theory of Jet Propulsion – Pulse jet and Ram Jet Engines, Reciprocating and Rotary Compressors – Theory and Applications

Power Plant Engineering: Rankine and Brayton cycles with regeneration and reheat, Fuels and their properties, Flue gas analysis, Boilers, steam turbines and other power plant components like condensers, air ejectors, electrostatic precipitators and cooling towers – their theory and design, types and applications;

Renewable Sources of Energy: Solar Radiation, Solar Thermal Energy collection – Flat Plate and focusing collectors their materials and performance. Solar Thermal Energy Storage, Applications – heating, cooling and Power Generation; Solar Photo voltaic Conversion; Harnessing of Wind Energy, Bio-mass and Tidal Energy –Methods and Applications, Working principles of Fuel Cells.

**Mechanical Engineering Conventional Paper – II**

Engineering Mechanics: Analysis of System of Forces, Friction, Centroid and Centre of Gravity, Dynamics; Stresses and Strains-Compound Stresses and Strains, Bending Moment and Shear Force Diagrams, Theory of Bending Stresses-Slope and deflection-Torsion, Thin and thick Cylinders, Spheres.

Engineering Materials: Basic Crystallography, Alloys and Phase diagrams, Heat Treatment, Ferrous and Non Ferrous Metals, Non metallic materials, Basics of Nano-materials, Mechanical Properties and Testing, Corrosion prevention and control

Mechanisms and Machines: Types of Kinematics Pair, Mobility, Inversions, Kinematic Analysis, Velocity and Acceleration Analysis of Planar Mechanisms, CAMs with uniform acceleration and retardation, cycloidal motion, oscillating followers; Vibrations –Free and forced vibration of un damped and damped SDOF systems, Transmissibility Ratio, Vibration Isolation, Critical Speed of Shafts. Gears – Geometry of tooth profiles, Law of gearing, Involute profile, Interference, Helical, Spiral and Worm Gears, Gear Trains- Simple, compound and Epicyclic; Dynamic Analysis – Slider – crank mechanisms, turning moment computations, balancing of Revolving & Reciprocating masses, Gyroscopes–Effect of Gyroscopic couple on automobiles, ships and aircrafts ,Governors.

Design of Machine Elements: Design for static and dynamic loading; failure theories; fatigue strength and the S-N diagram; principles of the design of machine elements such as riveted, welded and bolted joints. Shafts, Spur gears, rolling and sliding contact bearings, Brakes and clutches, flywheels.

Manufacturing, Industrial and Maintenance Engineering: Metal casting-Metal forming, Metal Joining, Machining and machine tool operations, Limits, fits and tolerances Metrology and inspection, computer Integrated manufacturing, FMS ,Production planning and Control, Inventory control and operations research –CPM-PERT. Failure concepts and characteristics-Reliability, Failure analysis, Machine Vibration, Data acquisition, Fault Detection, Vibration Monitoring, Field Balancing of Rotors, Noise Monitoring, Wear and Debris Analysis, Signature Analysis, NDT Techniques in Condition Monitoring.

Mechatronics andRobotics: Microprocessors and Microcontrollers: Architecture, programming, I/O, Computer interfacing, Programmable ogiccontroller. Sensors and actuators, Piezoelectric accelerometer, Hall effect sensor, Optical Encoder, Resolver, Inductosyn, Pneumatic and Hydraulic actuators, stepper motor, Control Systems- Mathematical modeling of Physical systems, control signals, controllability and observe ability. Robotics, Robot Classification, Robot Specification, notation; Direct and Inverse Kinematics; Homogeneous Coordinates and Arm Equation of four Axis SCARA Robot.

**STAGE-3: PERSONALITY TEST**

After qualify both Preliminary and Mains exams the candidate is eligible to appear in last phase of ESE examination i.e Personality test which is likely to be conducted in the month of November or December.

STAGE-3/ PERSONALITY TEST (SUBJECTIVE/CONVENTIONAL TYPE PAPER) | |

Personality Test | 200 Marks |

Grand Total Marks | 500 600 200 = 1300 Marks |

Those candidates qualify Stage-1 Stage-2 Stage-3 Exam to be included into final merit list of Engineering Service Examination provided by UPSC