Gate Mechanical Engineering Syllabus & Practices Test
GATE Mechanical Engineering Mock Test 1
Time limit: 0
0 of 6 questions completed
Free Online Study GATE Mechanical Engineering mock test based on Syllabus.
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
0 of 6 questions answered correctly
Time has elapsed
You have reached 0 of 0 points, (0)
Section 1: Engineering Mathematics
Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and
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
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,
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 3: 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
in compressible 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, effect of turbulence; heat
exchanger performance, LMTD and NTU methods; radiative heat transfer, StefanBoltzmann
law, Wien’s displacement law, black and grey surfaces, view factors,
radiation network analysis.
Thermodynamics: Thermodynamic systems and processes; properties of pure
substances, behaviour of ideal and real gases; zeroth and first laws of
thermodynamics, calculation of work and heat in various processes; second law of
thermodynamics; thermodynamic property charts and tables, availability and
irreversibility; thermodynamic relations.
Applications: 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.
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
Computer Integrated Manufacturing: Basic concepts of CAD/CAM and their
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.