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Engineering Mathematics

Linear Algebra
Calculus
Differential Equations
Complex Variables
Probability and Statistics
Numerical Methods

Engineering Mechanics

Free Body Diagrams and Equilibrium
Friction
Trusses and Frames
Virtual Work
Kinematics of Particles
Dynamics of Particles
Kinematics of Rigid Bodies
Dynamics of Rigid Bodies
Impulse and Momentum
Energy Formulations

Mechanics of Materials

Stress and Strain
Elastic Constants
Mohrs Circle
Shear Force and Bending Moment Diagrams
Bending Stresses
Shear Stresses
Torsion of Circular Shafts
Thin Cylinders
Deflection of Beams
Thermal Stresses
Column Buckling
Theories of Failure

Theory of Machines

Displacement Velocity and Acceleration Analysis
Planar Mechanisms
Dynamic Analysis of Linkages
Cams
Gears and Gear Trains
Flywheels
Governors
Balancing of Rotating Masses
Balancing of Reciprocating Masses
Gyroscopes

Vibrations

Free Vibration of Single Degree of Freedom Systems
Damped Free Vibration
Forced Vibration
Vibration Isolation and Transmissibility
Whirling of Shafts

Machine Design

Design for Static Loading
Design for Fluctuating Loading
Bolted Riveted and Welded Joints
Bearings
Gears Design
Shafts Keys and Couplings
Brakes and Clutches

Fluid Mechanics

Fluid Properties
Fluid Statics
Manometry and Buoyancy
Fluid Kinematics
Bernoullis Equation
Fluid Dynamics
Viscous Flow
Flow Through Pipes
Dimensional Analysis
Boundary Layer Theory
Turbulent Flow

Heat Transfer

Conduction
Fins
Transient Conduction
Convection
Heat Exchangers
Radiation

Thermodynamics

Thermodynamic Systems and Processes
Zeroth Law of Thermodynamics
First Law of Thermodynamics
Second Law of Thermodynamics
Entropy
Availability and Irreversibility
Properties of Pure Substances
Thermodynamic Relations

Applied Thermodynamics

Power Engineering Rankine Cycle
IC Engines
Refrigeration and Air Conditioning
Turbomachinery

Engineering Materials

Structure and Properties of Materials
Phase Diagrams
Heat Treatment
Stress Strain Diagrams

Manufacturing Engineering

Casting
Forming
Joining
Machining and Machine Tool Operations
Metrology and Inspection
Computer Integrated Manufacturing

Industrial Engineering

Production Planning and Control
Inventory Control
Linear Programming
Transportation and Assignment Models
PERT and CPM
Queuing Theory

Torsion of Circular Shafts

Concept

Governing Equations

Standard Diagrams

Solved Examples

GATE PYQs

Common Mistakes

Quick Revision