## Welcome Mechanical Engineers

Mechanical

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Analytic Geometry:
Straight Line
Conics
Circle
Parabola
Hyperbola
Distance Formula

Calculus:
Limits
Derivatives
Applications of Derivatives
Partial Derivatives
Indefinite Integration
Definite Integration

Ordinary Differential Equations:
First Order DE
Higher Order Homogeneous
Nonhomogeneous DE
Laplace Transform

Linear Algebra:
Matrices
Determinants
Vectors
Dot and Cross Products
Divergence
Curl

Numerical Methods:
Newton's Methods
Approximation
Error Propagation
Precision Limits
Taylor's Series

Algorithm and Logic Development:
Algorithms
Flowcharts
Pseudocode

Probability Distributions:
Probability Concepts
Binomial Distribution
Normal Distribution
Student's t- Distribution
Chi-squared Distribution

Measures of Central Tendencies and Dispersions:
Mean
Median
Mode
Standard Deviation and Variance

Expected Value:
PDF and CDF
Expected Value- Continuous
Expected Value- Discrete

Regression:
Linear Regression
Correlation Coefficient

Codes of Ethics:
NCEES Model Law
Professional and Technical Societies
Ethical and legal Considerations

Public Health, Safety, and Welfare:
Issues arising from safety of public due to engineering decision-making

Intellectual Property:
Patents

Societal Considerations:
Economic, sustainability, environmental
Life-Cycle Analysis

Time Value of Money:
DCF Factors
NPV
Inflation

Cost Types and Breakdowns:
Cost Types

Economic Analyses:
Cost-benefit Analysis
Breakeven Analysis
Minimum Cost

Electrical Fundamentals:
Charge, Current, Voltage, Resistance
Power, Energy
Magnetic Flux

DC Circuit Analysis:
Kirchhoff's Laws
Ohm's law
Series and Parallel Resistances

AC Circuit Analysis:
AC Impedance
Average Value
RMS Value

Motors and Generators:
AC Motors
DC Motors

Resultants of Force Systems:
Resolution of Forces
Resultant of Forces
Moment of a Force
Couple

Concurrent Force Systems:
FBD

Equilibrium of Rigid Bodies:
Types of Supports
Static Equilibrium
Lami's Theorem
Virtual Work

Frames and Trusses:
Method of Joints
Method of Section

Centroids and Moments of Inertia:
Centroid of Basic Shapes
Centroid of a Composite Area
Area Moments of inertia
Perpendicular Axis Theorem
Parallel Axis Theorem

Static Friction:

Kinematics of Particles:
Instant. Velocity & Acc
Tangential & Normal Acc
Constant Acc
Variable Acc
Relative Motion
Uniform Circular Motion
Projectile Motion

Kinetic Friction:
Laws of Kinetic Friction
Inclined Plane Motion

Newton's Second Law for Particles:
One-Dimensional Motion of a Particle

Work-Energy of Particles:
Kinetic Energy
Potential Energy
Work
Power and Efficiency
Conservation of Energy

Impulse-Momentum of Particles:
Linear and Angular Momentum
Impulse-Momentum Equation
Impact

Kinematics of Rigid Bodies:
General Rotation of a Rigid Body
Rigid Body Rotation- Constant Acc
Rigid Body Rotation- Variable Acc
Instantaneous Center of Rotation
Kennedy's Rule

Kinematics of Mechanisms:
Terminology of Mechanisms

Newton's 2$^{\mathrm{nd}}$ Law- Rigid Bodies:
One-D Motion of a Rigid Body
Moment of Inertia of a Point Mass
Mass MI of a Rigid Body
Parallel Axis Theorem- Dynamics

Work-Energy of Rigid Bodies:
Kinetic Energy of a Rigid Body

Impulse-Momentum of Rigid Bodies:
Angular Impulse and Mom
Conservation of Angular Mom

Free and Forced Vibrations:
Free Vibrations
Torsional Vibrations
Forced Vibrations

SFD/BMD:
Definitions
Rules & Observations
SFD/BMD Procedure
Beam- UDL

Mohr's Circle:
Principal Planes & Stresses
Mohr's Circle

Stress
Strain
Poisson's Ratio
Elastic Constants
Factor of Safety

Bending:
Bending Equation
Neutral Axis
Modulus of Section

Torsion:
Torsional Shear Stress

Shear:
Shear Stresses in Beams

Thermal Stress:
Thermal Expansion of Metals

Direct & Shear Stress
Axial & Bending Stresses

Deformations:
Elastic/Plastic Deformation
Deflection of Beams
Beam Deflection Formulae

Column Buckling:
Column Analysis
Equivalent Length

Statically Indeterminate Systems:
Static Indeterminacy

Properties:
Mechanical
Electrical
Thermal

Stress-strain Diagrams:
Stress-Strain Diagram
True Vs. Engg Stress-Strain Curve

Ferrous Metals:
Typical Ferrous Metals

Nonferrous Metals:
Non Ferrous Metals

Engineered Materials:
Elastomers/Fibres
Plastics
Ceramics
Glass

Manufacturing Processes:
Classification
Hot Processes
Cold Processes
Powder Metallurgy
CNC

Phase Diag/Transform/Heat Treating:
Phase Diagrams
Critical Point
Triple Point
Iron-Iron Carbide Diagram
Important Points
Allotropes of iron
Lever Rule
Heat Treatment

Materials Selection:

Corrosion:
Terminology
Mechanism
EMF Series
Galvanic Series
Corrosion Control

Failure Mechanisms:
Creep
Fatigue
Crack Propagation

Fluid Properties:
Common Fluid Properties
Newton's Law of Viscosity
Surface Tension/Capillarity

Fluid Statics:
Pascal's Law
Pressure Measurement
Hydrostatic Forces
Archimedes Principle/Buoyancy

Energy/Impulse/Momentum:
Continuity Equation
Momentum Equation

Internal Flow:
Reynold's Number
Losses in Pipes
Pipes in Series
Pipes in Parallel
Friction Factor
Noncircular Ducts

External Flow:
Characteristics

Compressible Flow:
Mach Number
Isentropic Flow Relationships

Power and Efficiency:
Power and Efficiency Definitions

Performance Curves:
Pump Performance Curves

Scaling Laws:
Pumps
NPSH and Cavitation
Turbines
Compressors

Prop of Ideal Gases/Pure Sub:
Thermodynamic Prop
Ideal Gas Laws
Prop of Pure Sub
Prop of Steam

Energy Transfers:
Introduction to Energy Transfer
Open and Closed Systems

Laws of Thermodynamics:
Introduction
Zeroth Law
First Law
Second Law
Third Law

Processes:
Thermodynamic Processes
Isochoric Process
Isobaric Process
Polytropic Process
Cyclic Process

Performance of Components:
Coefficient of Performance

Power Cycles:
Carnot Cycle
Rankine Cycle
Otto Cycle

Refrigeration/Heat Pump Cycles:
Stages

Nonreacting Mixtures of Gases:
Mass and Mole Fractions
Dalton's Law

Psychrometrics:
Elements of Psychro Chart
HVAC Processes

Combustion:
Combustion of Hydrocarbon in O2
Combustion in Air
Stoichiometric Air Fuel Ratio
Incomplete Combustion
Enthalpy of Formation

Conduction:
Fourier's Law
Thermal Resistance

Convection:
Newton's Law of Cooling
Types of Convection
Dimensionless Numbers

Perfectly Black Body
Stefan-Boltzmann Law
Shape Factors

Transient Processes:
Lumped System Analysis
Fins

Heat Exchangers:
LMTD
Heat Exchanger Effectiveness
NTU
Effectiveness-NTU Relation

Sensors/Transducers:
LVDT
RTD
Thermocouple
Strain Gage
Wheatstone Bridge
Piezoelectric
Pressure Sensors
pH Sensor

Control Systems:
General Layout
Reduction Techniques

Dynamic System Response:
Terminology
First Order System
Second Order System

Measurement Uncertainty:
Kline-McClintock Eqn

Stress Analysis:
Stress Types
Strain-Design
Factor of Safety

Failure Theories/Analysis:
Brittle Material
Ductile Material

Deformation/Stiffness:
Stiffness
Elastic Moduli
Elastic/Plastic Deformation

Springs:
Types of Springs
Terminology
Types
Stresses

Pressure Vessels/Piping:
Thin Cylinders
Thick Cylinders

Bearings:
Types of Bearings

Power Screws:
Terminology
Calculations

Power Transmission:
Shaft and Axles
Gearing
Gear Trains

Joining Methods:
Flanged Joints
Riveted Joints

Manufacturability:
Terminology
Types of Fits
Feature Control Frame
Basis of Fits
Limit Gauges

Quality/Reliability:
Reliability of an Assembly

Components:
Hydraulic System
Pneumatic System
Valves
Electromech Comp

Engg Drawing/GD&T:
Interpretation
GD & T

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