GATE 2018

Gate Mechanical engineering syllabus and book information

Mechanical  Engineering 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  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.

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.