GATE 2015 Mechanical engineering syllabus
GENERAL APTITUDE
This Paper Consists of Verbal Ability: English grammar, verbal analogies, instructions, critical
reasoning and verbal deductions, sentence completion, Word groups.
ENGINEERING MATHEMATICS
 Linear Algebra: -Matrix Algebra, Eigen values and eigen vectors, System of Linear Equations
 Calculus: - Theorems of integral calculus, Mean Value Theorem, Evaluation of definite and
improper integrals, Maxima and minima, Partial Derivatives, Multiple integrals, Fourier series,
directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems,
Vector Identities.
 Differential equations: -First order equation (linear and nonlinear), Cauchy’s and Euler’s
equations, Method of Variation of parameters,Initial and boundary value problems, Partial
Differential Equations and variable separable method, Higher order linear differential equations
with constant coefficients
 Complex variables -Analytic functions,Taylor’s and Laurent’ series, Residue theorem, solution
integrals, Cauchy’s integral theorem and integral formula.
 Probability and Statistics: -Sampling theorems, Mean, median, Conditional probability, mode
and standard deviation, Random variables, Discrete and continuous distributions, Correlation and
regression analysis,Poisson, Normal and Binomial distribution.
 Numerical Methods -Single and multistep methods for differential equations,Solutions of nonlinear algebraic equations
APPLIED MECHANICS AND DESIGN
 Engineering Mechanics: - Free body diagrams and equilibrium; virtual work;frames and trusses;
kinematics and dynamics of particles and of rigid bodies in plane motion, including impulse and
momentum (angular and linear) and energy formulations; impact.
 Strength of Materials: -Strain and stress, stress-strain relationship and elastic constants, Mohr’s
circle for plane stress and plane strain, shear force and bending moment diagrams; thin cylinders
;bending and shear stresses; torsion of circular shafts; deflection of beams; Euler’s theory of
columns; thermal stresses; strain energy methods.
 Theory of Machines - velocity and Displacement and acceleration analysis of plane mechanisms;
dynamic analysis of slider-crank mechanism; flywheels; gear trains.
 Vibrations: -Free and forced vibration of single degree of freedom systems; effect of damping;
vibration isolation; critical speeds of shafts, resonance.
 Design: Design for dynamic and static loading; failure theories; fatigue strength and the S-N
diagram;principles of the design of machine elements such as riveted ,bolted and welded joints,
shafts, rolling, spur gears, and sliding contact bearings, clutches and brakes.
FLUID MECHANICS AND THERMAL SCIENCES
 Fluid Mechanics: - Fluid properties; manometry, fluid statics, buoyancy; control-volume analysis
of mass, energy and momentum; fluid acceleration; differential equations of momentum and
continuity ; Bernoulli’s equation; viscous flow of incompressible fluids; elementary turbulent
flow; boundary layer; flow through pipes, head losses in bends, pipes etc.
 Heat and Mass Transfer: - Modes of heat transfer; one dimensional heat conduction, electrical
analogy, resistance concept ,unsteady heat conduction, fins; dimensionless parameters in free and
forced convective heat transfer, various correlations for heat transfer in flow over flat plates and
through pipes; thermal boundary layer; effect of turbulence, black and grey surfaces, radiative
heat transfer ;shape factors, network analysis; heat exchanger performance, NTU and LMTD
methods.
 Thermodynamics: -Zeroth, Second and First laws of thermodynamics; thermodynamic system
and processes; Carnot cycle.irreversibility and availability; behaviour of real and ideal gases,
properties of pure substances; analysis of thermodynamic cycles related to energy conversion;
calculation of work and heat in ideal processes
 Applications: Power Engineering: Steam Tables, Rankine, Brayton cycles with regeneration and
reheat. I.C. Engines: Diesel cycles. air-standard Otto. Refrigeration and air-conditioning: Vapour
refrigeration cycle, gas refrigeration, heat pumps, Reverse Brayton cycle; moist air:
psychrometric chart, basic psychrometric processes. Turbomachinery:Pelton-wheel, Kaplan and
Francis turbines ,velocity diagrams, impulse and reaction principles
MANUFACTURING AND INDUSTRIAL ENGINEERING
 Engineering Materials: -Properties and Structure of engineering materials, heat treatment,
stress-strain diagrams for engineering materials.
 Metal Casting: - Design of patterns, cores and moulds; cooling and solidification; riser and
gating design, design considerations.
 Forming: -Plastic deformation and yield criteria; fundamentals of cold and hot working
processes; load estimation for bulk ( rolling, forging, extrusion, drawing) and sheet (deep
drawing, shearing, bending) metal forming processes; principles of powder metallurgy.
 Joining: -Physics of welding, soldering and brazing; design considerations in welding; adhesive
bonding.
 Machining and Machine Tool Operations: - Mechanics of machining, single and multi-point
cutting tools, materials and tool geometry , tool life and wear; economics of machining; principles
of work holding, principles of non-traditional machining processes; principles of design of jigs
and fixtures
 Metrology and Inspection: fits,Limits and tolerances; angular and linear measurements;
comparators; gauge design; interferometry; form and finish measurement; testing and alignment
methods; tolerance analysis in manufacturing and assembly.
 Computer Integrated Manufacturing: -Basic concepts of CAM/CAD and their integration
tools.
 Production Control and Planning-: -Forecasting models, scheduling, aggregate production
planning, materials requirement planning.
 Inventory Control: -Probabilistic and Deterministic models; safety stock inventory control
systems.
 Operations Research: - Linear programming, Duplex and simplex method, transportation,
assignment, simple queuing models, CPM and PERT , network flow models.