## ISRO Syllabus for Mechanical Engineering ISRO Syllabus for Mechanical Engineering

#### Engineering Mathematics

Linear Algebra- Vector space, matrix algebra operation, calculation of eigenvalues and eigenvectors, rank, a solution of linear equations – consistency or not

Calculus- Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals, Taylor series.

Differential Equations- First order equations (linear and nonlinear), higher order linear differential equations, Cauchy's and Euler's equations, methods of solution using a variety of parameters, complementary function and particular integral, partial differential equations, variable separable method, initial and boundary value problems.

Vector Analysis- Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss's, Green's and Stoke's theorems.

Complex Analysis- Analytic functions, Cauchy's integral theorem, Cauchy's integral formula, Taylor's and Laurent's series, residue theorem.

Numerical Methods- Solution of nonlinear equations, single and multi-step methods for differential equations, convergence criteria.

Probability and Statistics- Mean, median, mode variance, and standard deviation, combinatorial probability

Probability distribution functions – Binomial, and Poisson Equation, exponential and normal, Joint and conditional probability, Correlation and regression analysis.

#### Applied Mechanics and Design

Engineering Mechanics

Free-body diagrams and equilibrium- trusses and frames.

Kinematics and dynamics of particles and of rigid bodies in plane motion.
Impulse and momentum (linear and angular) and energy formulations.

Collisions.

Virtual work.

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 the universal testing machine.

Testing of hardness and impact strength.

Theory of Machines

Displacement.
Velocity and acceleration analysis of plane mechanisms.

Gears and gear trains.

Flywheels and governors, Gyroscope.

Balancing of reciprocating and rotating masses.

Vibrations-  Free and forced vibration of single degree of freedom systems, the 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.

#### 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, the 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, a behaviour of ideal and real gases.

Zeroth and first laws of thermodynamics, Calculation of work and heat in various processes.

The 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.

#### 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, the 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, the economics of machining.

Principles of non-traditional machining processes, principles of work holding, the 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.

S.N.