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SYLLABUS FOR GATE: MECHANICAL |
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, including impulse and momentum
(linear and angular) and energy formulations; impact.
Strength of Materials:
Stress and strain, stress-strain
relationship and elastic constants, 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; strain energy methods;
thermal stresses.
Theory of Machines:
Displacement, velocity and
acceleration analysis of plane mechanisms; dynamic analysis of slider-crank
mechanism; gear trains; flywheels.
Vibrations:
Free and forced vibration of single
degree of freedom systems; effect of damping; vibration isolation;
resonance, critical speeds of shafts.
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, spur gears, rolling and sliding contact bearings,
brakes and clutches.
FLUID MECHANICS AND THERMAL SCIENCES
Fluid Mechanics:
Fluid properties; fluid statics, manometry,
buoyancy; control-volume analysis of mass, momentum and energy;
fluid acceleration; differential equations of continuity and momentum;
Bernoulli?s equation; viscous flow of incompressible fluids; boundary
layer; elementary turbulent flow; flow through pipes, head losses
in pipes, bends etc.
Heat-Transfer:
Modes of heat transfer; one dimensional
heat conduction, resistance concept, electrical analogy, 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; radiative heat transfer, black and grey surfaces,
shape factors, network analysis; heat exchanger performance, LMTD
and NTU methods.
Thermodynamics:
Zeroth, First and Second laws of thermodynamics;
thermodynamic system and processes; Carnot cycle. irreversibility
and availability; behaviour of ideal and real gases, properties
of pure substances, calculation of work and heat in ideal processes;
analysis of thermodynamic cycles related to energy conversion.
Applications: Power Engineering:
Steam Tables, Rankine,
Brayton cycles with regeneration and reheat. I.C. Engines: air-standard
Otto, Diesel cycles. Refrigeration and air-conditioning: Vapour
refrigeration cycle, heat pumps, gas refrigeration, Reverse Brayton
cycle; moist air: psychrometric chart, basic psychrometric processes.
Turbomachinery: Pelton-wheel, Francis and Kaplan turbines ? impulse
and reaction principles, velocity diagrams. |
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