**–Production and Industrial Engineering (PI)–**

**— Production and Industrial Engineering (PI) —**

Candidate qualifying for GATE Exam 2022/2023 in Production and Industrial Engineering stream, can secure an admission in IITs/IISc and explore career opportunity in PSU Jobs. Aspirants of Gate Production and Industrial i.e. those who are appearing for GATE 2022 Production and Industrial Engineering Exam, are required to understand syllabus thoroughly before starting preparation.

## Engineering Mathematics

#### Linear Algebra

- Matrix algebra, Systems of linear equations, Eigen values and Eigen vectors.

#### Calculus

- Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluationof definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives; Line, Surface and Volume integrals; Stokes, Gauss and Green’s theorems.

#### Differential Equations

- First order equations (linear and nonlinear), Higher order linear differential equations withconstant coefficients, Cauchy’s and Euler’s equations, Initial and boundary value problems, Laplace transforms.

#### Complex Variables

- Analytic functions, Cauchy’s integral theorem, Taylor series.

#### Probability and Statistics

- Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode andstandard deviation, Linear regression, Random variables, Poisson, normal, binomial and exponential distributions.

#### Numerical Methods

- Numerical solutions of linear and nonlinear algebraic equations, Integration by trapezoidaland Simpson’s rules, Single and multi-step methods for differential equations.

## General Engineering

#### Engineering Materials

- Structure, physical and mechanical properties, and applications of common engineering materials (metals and alloys, semiconductors, ceramics, polymers, and composites – metal, polymer and ceramic based); Iron-carbon equilibriumphase diagram; Heat treatment of metals and alloys and its influence on mechanical properties; Stress-strain behavior of metals and alloys.

#### Applied Mechanics

- Engineering mechanics – equivalent force systems, free body concepts, equations of equilibrium; Trusses; Strength of materials – stress, strain and their relationship; Failure theories; Mohr’s circle (stress); Deflection of beams, bending and shearstresses; Euler’s theory of columns; Thick and thin cylinders;Torsion.

#### Theory of Machines and Design

- Analysis of planar mechanisms, cams and followers; Governors and fly wheels; Design of bolted, riveted and welded joints; Interference/shrink fit joints; Friction and lubrication; Design of shafts, keys, couplings, spur gears, belt drives,brakes and clutches; Pressure vessels.

#### Thermal and Fluids Engineering

- Fluid mechanics – fluid statics, Bernoulli’s equation, flow through pipes, laminar and turbulent flows, equations of continuity and momentum, capillary action; Dimensional analysis; Thermodynamics – zeroth, first and second laws ofthermodynamics, thermodynamic systems and processes, calculation of work and heat for systems and control volumes; Air standard cycles; Heat transfer – basic applications of conduction, convection and radiation.

## Manufacturing Processes – I

#### Casting

- Types of casting processes and applications; Sand casting: patterns – types, materials andallowances; molds and cores–materials, making, and testing; design of gating system and riser; casting techniques of cast iron, steels, and nonferrous metals and alloys; analysis of solidification and microstructure development; Other casting techniques: Pressure die casting, Centrifugal casting, Investment casting, Shell mold casting; Casting defects and their inspection by non-destructive testing.

#### Metal Forming

- Stress-strain relations in elastic and plastic deformation; von Mises and Tresca yield criteria,Concept of flow stress; Hot, warm and cold working; Bulk forming processes – forging, rolling, extrusion and wire drawing; Sheet metal working processes – blanking, punching, bending, stretch forming, spinning and deep drawing; Ideal work and slab analysis; Defects in metal working and their causes.

#### Joining of Materials

- Classification of joining processes; Principles of fusion welding processes using different heatsources (flame, arc, resistance, laser, electron beam), Heat transfer and associated losses; Arc welding processes – SMAW, GMAW, GTAW, plasma arc, submerged arc welding processes; Principles of solid state welding processes – friction welding, friction stir welding, ultrasonic welding; Welding defects – causes and inspection; Principles of adhesive joining, brazing and soldering processes.

#### Powder Processing

- Production of metal/ceramic powders, compaction and sintering of metals and ceramic powders, Cold and hot isostatic pressing.

#### Polymers and Composites

- Polymer processing – injection, compression and blow molding, extrusion, calendaring and thermoforming; Molding of composites.

## Manufacturing Processes – II

#### Machining

- Orthogonal and oblique machining, Single point cutting tool and tool signature, Chip formation, cutting forces, Merchant’s analysis, Specific cutting energy and power; Machining parameters and material removal rate; tool materials, Tool wear and tool life; Thermal aspects of machining, cutting fluids, machinability; Economics of machining; Machining processes – turning, taper turning, thread cutting, drilling, boring, milling, gear cutting, thread production; Finishing processes – grinding, honing, lapping and super-finishing.

#### Machine Tools

- Lathe, milling, drilling and shaping machines – construction and kinematics; Jigs and fixtures –principles, applications, and design.

#### Advanced Manufacturing

- Principles and applications of USM, AJM, WJM, AWJM, EDM and Wire EDM, LBM, EBM, PAM, CHM, ECM; Effect of process parameters on material removal rate,surface roughness and power consumption; Additive manufacturing techniques.

#### Computer Integrated Manufacturing

- Basic concepts of CAD and CAM, Geometric modeling, CNC; Automation in Manufacturing; Industrial Robots – configurations, drives and controls; Cellular manufacturing and FMS – Group Technology, CAPP.

## Quality and Reliability

#### Metrology and Inspection

- Accuracy and precision; Types of errors; Limits, fits and tolerances; Gauge design, Interchangeability, Selective assembly; Linear, angular, and formmeasurements (straightness, flatness, roundness, runout and cylindricity) by mechanical and optical methods; Inspection of screw threads and gears; Surface roughness measurement by contact and non-contact methods.

#### Quality Management

- Quality – concept and costs; Statistical quality control – process capability analysis, control charts for variables and attributes and acceptancesampling; Six sigma; Total quality management; Quality assurance and certification – ISO 9000, ISO14000.

#### Reliability and Maintenance

- Reliability, availability and maintainability; Distribution of failure and repair times; Determination of MTBF and MTTR, Reliabilitymodels; Determination of system reliability; Preventive and predictive maintenance and replacement, Total productive maintenance.

## Industrial Engineering

#### Product Design and Development

- Principles of product design, tolerance design; Quality and cost considerations; Product life cycle; Standardization, simplification, diversification;Value engineering and analysis; Concurrent engineering; Design for “X”.

#### Work System Design

- Taylor’s scientific management, Gilbreths’s contributions; Productivity – concepts and measurements; Method study, Micro-motion study,Principles of motion economy; Work measurement – time study, Work sampling, Standard data, PMTS; Ergonomics; Job evaluation and merit rating.

#### Facility Design

- Facility location factors and evaluation of alternate locations; Types of plant layout and their evaluation; Computer aided layout designtechniques; Assembly line balancing; Materials handling systems.

## Operations research and Operations management

#### Project management

- Scheduling techniques – Gantt chart, CPM, PERT and GERT.

#### Engineering Economy and Costing

- Elementary cost accounting and methods of depreciation; Break-even analysis; Techniques for evaluation of capital investments; Financial statements; Activitybased costing.

#### Production control

- Forecasting techniques – causal and time series models, moving average, exponential smoothing, trend and seasonality; Aggregate production planning;Master production scheduling; MRP, MRP-II and ERP; Routing, scheduling and priority dispatching; Push and pull production systems, concepts of Lean and JIT manufacturing systems; Logistics, distribution, and supply chain management; Inventory – functions, costs, classifications, deterministic inventory models, quantity discount; Perpetual and periodic inventory control systems.

#### Operation Research

- Linear programming – problem formulation, simplex method, duality and sensitivity analysis; Transportation and assignment models; Integer programming;Constrained and unconstrained nonlinear optimization; Markovian queuing models; Simulation – manufacturing applications.

## Change in syllabus 2022

Removed topic | Added topic | Removed topic | Added topic |
---|---|---|---|

Section 1: Engineering Mathematics
Liner Algebra: NA Calculus: NA Differential Equation:NA Complex Variables:NA Probability and Statistics:NA Numerical Methods:NA |
Section 1: Engineering Mathematics
Liner Algebra:NA Calculus: NA Differential Equation:NA Complex Variables:NA Probability and Statistics:NA Numerical Methods:NA |
Section 2: General Engineering
Engineering Materials:NA Applied Mechanics:NA Theory of Machines and Design:NA Thermal and Fluids Engineering:contact angle and wetting |
Section 2: General Engineering
Engineering Materials:NA Applied Mechanics: Thick and thin cylinders; Torsion. Theory of Machines and Design: Friction and lubrication, couplings Thermal and Fluids Engineering: laminar and turbulent flows |

Section 3: Manufacturing Process I
Casting:design of gating and riser; origin of defects. Metal Forming:NA Joining of Materials:NA Powder Processing:NA Polymers and Composites:NA |
Section 3: Manufacturing Process I
Casting: design of gating system and riser, Other casting techniques: Pressure die casting, Centrifugal casting, Investment casting, Shell mold casting; Casting defects and their inspection by non-destructive testing Metal Forming: von Mises and Tresca yield criteria, Sheet metal working Process- Punching, Stretch Forming, Spinning Joining of Materials:Classification of joining processes; Welding defects – causes and inspection Powder Processing: Cold and hot isostatic pressing Polymers and Composites:NA |
Section 4: Manufacturing Process II
Machining:NA Machine Tools:NA Advanced manufacturing:NA Computer Integrated Manufacturing:NA |
Section 4: Manufacturing Process II
Machining:NA Machine Tools:NA Advanced manufacturing:process parameters on surface roughness andpower consumption; Additive manufacturing techniques. Computer Integrated Manufacturing:NA |

Section 5: Quality and Reliability
Metrology and Inspection:tolerance analysis in manufacturing and assembly. Quality Management:NA Reliability and Maintenance:NA |
Section 5: Quality and Reliability
Metrology and Inspection: Accuracy and precision Quality Management: Quality assurance and certification – ISO 9000, ISO14000, Reliability and Maintenance: Total productive maintenance |
Section 6: Industrial Engineering
Product Design and Development:comparison of production alternatives. Work System Design:incentive schemes, and wage administration. Facility Design:NA |
Section 6: Industrial Engineering
Product Design and Development: Design for “X Work System Design:NA Facility Design:NA |

Section 7: Operation Research and Operation Management
Operation Research:dynamic programming Engineering Economy and Costing:time-cost trade-off, resource levelling. Production Control:NA Project Management:NA |
Section 7: Operation Research and Operation Management
Operation Research:Integer programming Engineering Economy and Costing:Activity based costing Production Control:NA Project Management: Gantt chart and GERT. |