# ABOUT IES Mechanical Engineering EXAM

## A combined competitive examination is conducted by the Union Public Services Commission (UPSC) for recruitment to the Indian Engineering Services.

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# Exam Information

Gate Mechanical Engineering Syllabus:

Engineering Mathematics:

• Linear Algebra
1. Matrix algebra
2. System of linear equations
3. Eigenvalues and eigenvectors
• Calculus:
1. Functions of single variable, limit, continuity and differentiability
2. Mean value theorems
3. Intermediate forms
4. Evaluation of definite and improper integrals
5. Double and Triple integrals
6. Partial derivatives
7. Total derivatives
8. Taylor series
9. Maxima and Minima
10. Fourier series: gradient, divergence and curl
11. Vector identities
12. Directional Derivatives
13. Line, surface and Volume Integral
14. Applications of Gauss, Stokes and Green’s Theorems.
• Differential Equations:
1. First order equations: linear and non-linear
2. Higher order linear differential equations with constant coefficients
3. Euler-Cauchy equation
4. Initial and boundary value problems
5. Laplace Transform
6. Solution of heat
7. Wave and Laplace’s equations
• Complex Variables
1. Analytic Functions
2. Cauchy-Riemann equations
3. Cauchy’s integral theorem and integral formula
4. Taylor and Laurent series
5. Probability and Statistics: Definitions of probability, Sampling theorem, Conditional Probability
6. Mean, Median, Mode and Standard deviation
7. Random Variables
8. Binomial , Poisson and normal Distributions
• Numerical Methods
1. Numerical Solutions of linear and non-linear algebraic equations
2. Integration by trapezoidal and Simpson’s rules
3. Single and multi-step methods of differential equations.

Applied Mechanics

• Engineering Mechanics
1. Free-body diagrams and equillibrium
2. Trusses and frames
3. Virtual works
4. Kinematics and dynamics of particles and rigid bodies in plane motion
5. Impulse and Momentum (linear and angular) and Energy Formulation
6. Collisions
• Mechanics of Materials
1. Stress and Strain
2. Elastic Constant
3. Poisson’s Ratio
4. Mohr’s circle of plane stress and plane strain
5. Thin cylinders
6. Shear forces and Bending moment diagram
7. Bending and Shear Stresses
8. Deflation of beams
9. Torsion of circular shafts
10. Euler’s theory of columns
11. Energy methods
12. Thermal Stresses
13. Strain Gauges and Rosettes
14. Testing of Materials with universal testing Machine
15. Testing of hardness and impact Strength
• Theory of Machines
1. Displacement
2. Velocity and acceleration analysis of plane mechanism
4. Cams
5. Gears and gear trains
6. Flywheels and Governors
7. Balancing of Reciprocating and rotating masses
8. Gyroscope
• Vibrations
1. Free and forced vibration of single degree of freedom system
2. Effect of damping
3. Vibration isolation
4. Resonance
5. Critical Speeds of shafts
7. Failure theories
8. Fatigue Strength and the S-N diagram
9. Principles of the design of machine element such as bolted, riveted and welded joints.
10. Shafts, gears, rolling and sliding contact bearing
11. Brakes and Clutches
12. Spring.

Fluid Mechanics and Thermal Science

• Fluid Mechanics
1. Fluid Properties
2. Fluid Statics
3. Manometry
4. Buoyancy
5. Forces on submerged bodies
6. Stability of floating bodies
7. Control-Volume analysis of mass
8. Momentum and energy
9. Fluid Acceleration
10. Differential equations of continuity and momentum
11. Bernoulli’s equation
12. Dimensional analysis
13. Viscous flow of incompressible fluids
14. Boundary layer
15. Elementary turbulent flow
16. Flow through pipes
18. Bends and fittings
• Heat –Transfer
1. Modes of heat transfer
2. One-Dimensional heat conduction
3. Resistance concept and Electrical Analogy
4. Heat transfer through fins
6. Lumped parameter system
7. Heisler’s charts
8. Thermal Boundary layers
9. Dimensionless parameters in free and forced Convective heat transfer
10. Heat transfer correlations for flow over flat plates and through pipes
11. Effect of turbulence
12. Heat exchange performance
13. LMTD and NTU methods
15. Stefan-Boltzmann law
16. Wien’s displacement law
17. Black and Gray surfaces
18. View Factors
• Thermodynamics
1. Thermodynamic system and processes
2. Properties of pure substances
3. The behavior of ideal and real gases
4. Zeroth and first laws of thermodynamics
5. Calculation of work and heat in various processes
6. Second law of thermodynamics
7. Thermodynamic property charts and tables
8. Availability and Irreversibility
9. Thermodynamic relations
• Applications
1. Power Engineering: Air and Gas compressors
2. Vapour and gas power cycles
3. Concepts of regeneration and reheat
4. I.C. engines: Air-standard otto, Diesel and dual cycles
5. Refrigeration and Air-conditioning: Vapour and gas refrigeration and heat pump cycle
6. Properties of Moist air
7. Psychometric chart
8. Basic psychometric processes
9. Turbo-Machinery: Impulse and Reaction principles, velocity diagrams Pelton Wheel
10. Francis and Kaplan turbines

Materials, Manufacturing and Industrial Engineering

• Engineering Materials
1. Structure and properties of engineering materials
2. Phase diagrams
3. Heat treatment
4. Stress-Strain diagram for engineering materials
5. Casting, forming and joining processes
6. Different types of casting
7. Design of patterns, moulds and cores
8. Solidification and cooling
9. Riser and gating design
10. Plastic deformation and yield criteria
11. Fundamentals of hot and cold working processes
12. Load estimation of bulk (forging, rolling, extrusion, drawing) and Sheet (shearing, deep drawing, bending) metal forming processes
13. Principles of powder metallurgy
14. Principles of Welding, Brazing, soldering and Adhesive bonding
• Machining and Machine Tool Opertaions:
1. Mechanics of machining
2. Basic machine tools
3. Single and multi-point cutting tools
4. Tool geometry and materials
5. Tool life and wear
6. Economics of machining
7. Principles of non-traditional machining processes
8. Principles of work holding
9. Design of jigs and fixtures
• Metrology and Inspection
1. Limits, fits and tolerances
2. Linear and angular measurements
3. Comparators
4. Gauge design
5. Interferometry
6. Form and finish measurement
7. Alignment and testing methods
8. Tolerance analysis in manufacturing and assembly
• Computer Integrated Manufacturing

Basic Concepts of CAD/CAM and their integration tools

• Production Planning and Control
1. Forecasting models
2. Aggregate Production planning
3. Scheduling
4. Material requirement planning
• Inventory Control
1. Deterministic Models
2. Safety stock inventory control systems
3. Operation Research: Linear programming, Simples method, Transportation, Network flow models, Simple queuing models, PERT and CPM.

 Sections Number of questions Type of questions Marks General Aptitude 10 5 questions of Multiple choice(MCQ) type and 5 questions of Numerical type (NAT) 15 Engineering Mathematics 25 7 questions of Multiple choice (MCQ) type and 4 questions of Numerical answer type(NAT). 15 Subject Question(Technical) 30 9 questions of Multiple choice (MCQ) type and 13 questions of Numerical answer type(NAT)

• Total time duration of the exam is 3 hours.
• Total number of questions is 65.
• The total marks is 100
• Multiple choice questions consists 1 or 2 mark per correct answer.
• Numerical Answer type questions consists 1 or 2 marks for each correct answer
• Numerical answer type question should be answered as a number, a decimal number or a number with negative sign.
• For 1 mark multiple choice questions (MCQ), the 1/3 mark will be deducted for wrong answers.
• For 2 mark multiple choice questions (MCQ), the 2/3 mark will be deducted for wrong answers.

For Numerical Answer type questions, there is no negative mark

Qualification Content:

Nationality of a candidate :

• He/She is should be a citizen of India  OR
• He/She is should be a subject of Nepal or A subject of Bhutan OR
• He/She is should be a Tibetan refugee who came over to Indian before the 1st January, 1962 with the intention of permanently settling in India.
• Age Limits:
• A candidate must have attained the age of 21 years and must not have attained the age of 30 years on the 1st January, of the exam year.
• The upper age-limit of 30 years will be relaxable up to 35 years if the candidate is a Government servants of the following categories, if they are employed in a Department/Office under the control of any of the authorities.

Minimum Educational Qualifications:

• Obtained a degree in Engineering from a from a recognized institute or university. (OR)
• Passed Section A and B of the Institution Examinations of the Institution of Engineers (India) (OR)
• Obtained a degree/diploma in Engineering from such foreign University/College/Institution and under such conditions as may be recognised by the Government for the purpose from time to time.(OR)
• Passed Graduate Membership Examination of the Institute of Electronics and Telecommunication Engineers (India) (OR)
• Passed Associate Membership Examination Parts II and III/Sections A and B of the Aeronautical Society of India (OR)
• Passed Graduate Membership Examination of the Institution of Electronics and Radio Engineers, London held after November 1959

Other Information:

• Three tier examples which includes Preliminary (stage-1), Mains (Stage-2) and Personality test which make screening process of candidates easier.
• In Preliminary examination, the questions are of objective types and  in Mains examination, the questions are of Conventional type.
• Candidates who qualify the Preliminary are permitted to appear for Mains.
• English is not there in any paper.
• Recently the weightage of Mains has been changed from 500 to 600 and weightage of  Preliminary has been changed from 600 to 500.
• Now the total marks for all the three rounds are 1300.