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Mechanical
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
Gradient
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:
Copyright
Trade Secrets
Patents
Trademarks
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
Overhead Life Cycle
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:
Types of Loads
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
Mass Radius of Gyration
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- Central Point Load
Beam- Point Load Anywhere
Beam- UDL
Mohr's Circle:
Principal Planes & Stresses
Mohr's Circle
Axial Loads:
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
Combined Loading:
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:
Advantages
Non Ferrous Metals
Engineered Materials:
Elastomers/Fibres
Plastics
Ceramics
Glass
Manufacturing Processes:
Classification
Hot Processes
Cold Processes
Powder Metallurgy
CNC
Non-Traditional Machining
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
Steady Flow Energy Equation
Laws of Thermodynamics:
Introduction
Zeroth Law
First Law
Second Law
Third Law
Processes:
Thermodynamic Processes
Isochoric Process
Isobaric Process
Adiabatic 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
Reading a 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
Critical Radius of Insulation
Dimensionless Numbers
Radiation:
Perfectly Black Body
Stefan-Boltzmann Law
Kirchhoff's Law of Radiation
Shape Factors
Net Radiation Exchange
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
Steady State Errors
Measurement Uncertainty:
Kline-McClintock Eqn
Stress Analysis:
Stress Types
Strain-Design
Factor of Safety
Failure Theories/Analysis:
Brittle Material
Ductile Material
Variable Loading
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
Basic Load Rating
Equivalent Radial Load
Power Screws:
Terminology
Calculations
Power Transmission:
Shaft and Axles
Gearing
Gear Trains
Loading on Gears
Joining Methods:
Flanged Joints
Riveted Joints
Threaded 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
Stay tuned for upcoming lecture series.