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        • Basic HVAC Processes
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        • Combustion of Hydrocarbon in Pure Oxygen
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      • Steady-state Mass Balance
        • Fourier's Law of Heat Conduction
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        • Lumped System Analysis
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        • Fourier's Law of Heat Conduction
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        • Effectiveness-NTU Relation
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        • Application of Derivatives
        • Partial Derivatives
        • Indefinite Integrals
        • Partial Fractions
        • Trigonometric Functions
        • Definite Integrals
      • Ordinary Diff Eqn
        • General Terminology
        • First Order DE
        • Second Order Homogeneous DE
        • Finding DE from Solution
        • Applying Boundary Conditions
        • Laplace Transform
      • Linear Algebra
        • Types of Matrices
        • Determinant of a Matrix
        • Matrix Operations
      • Vector Analysis
        • Unit Vector
        • Addition and Subtraction of Vectors
        • Dot Product
        • Cross Product
        • The Del Operator
        • Gradient
        • Divergence
        • Curl
    • Prob/Statistics
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        • Mean
        • Median
        • Mode
        • Standard Deviation
      • Probability Distributions
        • Probability- Concepts
        • Binomial Distribution
        • Normal Distribution
        • t-distribution
        • Chi-squared Distribution
      • Expected Value
        • PDF and CDF
        • Expected Value- Discrete
        • Expected Value- Continuous
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        • >Cost-Benefit Analysis
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        • Kirchhoff's Current Law
        • Kirchhoff's Voltage Law
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        • Thevenin Theorem
        • Norton Theorem
      • Node/Loop Analysis
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        • RMS value
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        • Frequency
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        • Phasors of Pure RLC Circuits
        • Phasors of Mixed Circuits
      • Impedance
        • AC Impedance
    • Linear Systems
      • Freq./Transient Response
        • Transient Response
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        • Resonance
      • Laplace Transforms
        • Laplace Transform
      • Transfer Functions
        • Open-Loop Transfer Functions
        • Closed-Loop Transfer Functions
    • Signal Processing
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        • Ideal OPAMP
        • Nonideal OPAMP
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        • Pressure Sensors
        • pH Sensor
      • Power Electronics
        • Rectifiers
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    • Power Systems
      • Power Theory
        • Power Factor
        • Single and Three Phase
        • Voltage Regulation
      • Transmission/Distribution
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        • Efficiency
        • Voltage Drop
        • Delta/Wye Connections
      • Transformers
        • Principle and Construction of Transformer
        • Single-phase and Three-phase
        • Reflected Impedance
        • Losses in Transformer
      • Motors and Generators
        • Synchronous Motors
        • Induction Motors
        • DC Motors
    • Electromagnetics
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        • Spatial Relationships
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      • Electrodynamics
        • Maxwell Equations
        • Wave Propagation
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        • High Frequency
    • Control Systems
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        • Block Diagram Reduction Techniques
      • Bode Plots
        • Bode Plots
      • Response and Stability
        • Terminology
        • First Order System
        • Second Order System
        • Routh Hurwitz Criterion
      • Controller Performance
        • Steady State Errors
        • Controller Performance
    • Communications
      • Basic Modulation-Demodulation Concepts
        • Basic Concepts of Modulation
        • AM
        • FM
        • PCM
      • Fourier Transforms and Fourier Series
        • Fourier Transforms
        • Fourier Series
      • Multiplexing
        • Time Division Multiplexing (TDM)
        • Frequency Division Multiplexing (FDM)
        • Code Division Multiplexing (CDM)
      • Digital Communications
        • Digital Communications
    • Comp. Networks
      • Routing and Switching
        • Routing and Switching
      • Network Topologies
        • Mesh
        • Ring
        • Star
      • Network Types
        • LAN
        • WAN
        • Internet
      • Network Models
        • OSI
        • TCP/IP
      • Network Intrusion Detection and Prevention
        • Firewalls
        • Endpoint Detection
        • Network Detection
      • Security
        • Port Scanning
        • Network Vulnerability Testing
        • Web Vulnerability Testing
        • Penetration Testing
        • Security Triad
    • Digital Systems
      • Number Systems
        • Binary, Octal and Hexadecimal Systems
        • Conversion from/to Decimal Number System
        • Fractions in Number Systems
        • BCD and Grey Code
      • Boolean Logic
        • Basic Boolean Operations
        • De Morgan's Theorems
      • Logic Gates and Circuits
        • NOT, OR and AND Gates
        • NOR and NAND Gates
        • EXOR and EXNOR Gates
      • Logic Minimization
        • SOP
        • POS
        • Karnaugh Maps
      • Flip-flops and Counters
        • S-R Flip Flop
        • J-K Flip Flop
        • D Flip-Flop
      • Programmable Logic Devices and Gate Arrays
        • Programmable Read Only Memory
        • Programmable Array Logic
        • Programmable Logic Array
      • State Machine Design
        • State Machine Design
      • Timing
        • Timing Diagrams
        • Asynchronous Inputs
        • Race Conditions and Other Hazards
    • Comp. Systems
      • Microprocessors
        • Basic Microprocessor Terminology
        • 8085 Microprocessor Architecture
        • Instruction Set in 8085
        • 8086 Microprocessor Architecture and Operation
      • Memory Technology and Systems
        • Memory Technology and Systems
      • Interfacing
        • Interfacing
    • Software Engg
      • Algorithms
        • Sorting
        • Searching
        • Complexity
        • Big-O
      • Data Structures
        • Lists
        • Trees
        • Vectors in Data Structures
        • Structures
        • Arrays
      • Software Implementation
        • Iteration
        • Conditionals
        • Recursion
        • Control Flow
        • Scripting
        • Testing
  • Ind/Systems
    • Mathematics
      • Analytic Geometry
        • Straight Line
        • Conics
        • Circle
        • Ellipse
        • Parabola
        • Hyperbola
        • Distance Formula
        • Areas/Volumes
      • Calculus
        • Limits
        • Derivatives
        • Application of Derivatives
        • Partial Derivatives
        • Indefinite Integrals
        • Partial Fractions
        • Trig Functions
        • Definite Integrals
        • Progressions
        • Series
      • Linear Algebra
        • Types of Matrices
        • Determinant of a Matrix
        • Matrix Operations
        • Unit Vector
        • Addition of Vectors
        • Dot Product
        • Cross Product
        • The Del Operator
        • Gradient
        • Divergence
        • Curl
    • Engg Sciences
      • Thermodynamics
        • Extensive/Intensive Prop
        • Ideal Gas Laws
        • Specific Heats
        • Enthalpy
        • Entropy
        • Zeroth Law
        • First Law
        • Second Law
        • Third Law
        • Thermodynamic Processes
        • Isochoric Process
        • Isobaric Process
        • Adiabatic Process
        • Polytropic Process
      • Fluid Mechanics
        • Common Fluid Properties
        • Newton's Law of Viscosity
        • Surface Tension/Capillarity
        • Pascal's Law
        • Pressure Measurement
        • Hydrostatic Forces
        • Archimedes Principle/Buoyancy
        • Reynold's Number
        • Pumps
      • Statics
        • Resolution of Forces
        • Resultant of Forces
        • Moment of a Force
        • Couple
        • Types of Loads
        • FBD
        • Types of Supports
        • Static Equilibrium
        • Lami's Theorem
        • Centroid of Basic Shapes
        • Centroid of a Composite Area
        • Area Moments of Inertia
        • Perpendicular Axis Theorem
        • Parallel Axis Theorem
        • Static Friction
      • Dynamics
        • Instant. Velocity/Acc
        • Tangential/Normal Acc
        • Constant Acc Motion
        • Relative Motion
        • Uniform Circular Motion
        • One-Dimensional Motion of a Particle
        • Kinetic Energy
        • Potential Energy
        • Work
        • Power and Efficiency
        • Conservation of Energy
      • Electricity/Elec Circuits
        • Coulomb's Law
        • Electric Current
        • Resistance
        • Electric Power
        • Kirchhoff's Current Law
        • Kirchhoff's Voltage Law
        • Resistances in Series
        • Resistances in Parallel
        • AC Impedance
    • Ethics
      • Codes of Ethics
        • NCEES Model Law
        • Tech Societies
        • Ethical/Legal Considerations
      • Agreements and Contracts
        • Differences
      • Prof/Ethical/Legal Responsibility
        • Public Health, Safety and Welfare
      • Public Protection and Reg Issues
        • Public Health, Safety and Welfare
    • Engg Economics
      • Time Value of Money
        • DCF Factors
        • NPV
        • Inflation
      • Economic Analyses
        • Payback Period
        • Cost-Benefit
        • Break-Even
        • Overhead
      • Cost Types
        • Cost Types
      • Depreciation/Taxes
        • Terminology
        • Calculations
        • After-Tax Cash Flow
        • Recapture
    • Prob/Statistics
      • Probability Distributions
        • Probability- Concepts
        • Permutations/Combinations
        • Binomial Distribution
        • Normal Distribution
        • t-distribution
        • Chi-squared Distribution
      • Central Tend/Dispersions
        • Mean
        • Median
        • Mode
        • Std Deviation
      • Expected Value
        • PDF and CDF
        • Exp Value- Discrete
        • Exp Value- Continuous
      • Linear Regression
        • Parameter Estimation
        • Residual Analysis
        • Coeff of Correlation
      • DOE
        • ANOVA
        • Factorial Designs
    • Modeling/Quant
      • Data, Logic Dev/Analytics
        • Databases
        • Flowchart
        • Algorithms
        • Data Science Tech
      • Lin Prog/Optim
        • Formulation
        • Solution
        • Interpretation
      • Stochastic Models/Simulation
        • Queuing
        • Markov Processes
        • Inverse Prob Func
    • Engg Management
      • Principles and Tools
        • Planning
        • Organizing
        • Motivational Theory
        • Org Structure
      • Project Management
        • WBS
        • Scheduling
        • PERT
        • CPM
        • Earned Value
        • Agile
      • Performance Measurement
        • KPIs
        • Productivity
        • Wage Scales
        • Balance Scorecard
        • Cust Satisfaction
      • Decision Making and Risk
        • Uncertainty
        • Utility
        • Decision Trees
        • Financial Risk
    • Manuf/Serv/Prod Sys
      • Manufacturing Processes
        • Classification
        • Casting
        • Hot Working
        • Cold working
        • Drawing
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        • Powder Metallurgy
        • CNC
        • Non-Traditional Machining
      • Manu/Service Systems
        • Throughput
        • Measurement
        • Automation
        • Line Balancing
        • Energy Management
      • Forecasting
        • Moving Average
        • Exp Smoothing
        • Tracking Signals
      • Planning and Scheduling
        • Inventory
        • Aggregate Planning
        • MRP
        • Theory of Constraints
        • Sequencing
      • Process Improvements
        • Lean Systems
        • Sustainability
        • Value Engg
    • Facilities/Supply Chain
      • Flow, Layout/Loc Analysis
        • From/to Charts
        • Layout Types
        • Distance Metrics
      • Capacity Analysis
        • Capacity Planning
        • Machines and People
        • Trade-offs
        • Material Handling
      • SCM and Design
        • Pooling
        • Transportation
        • Network Design
        • Single/Multi Distr
    • HumanFact/Erg/Safety
      • Human Factors
        • Displays
        • Controls
        • Usability
        • Cognitive Engg
      • Safety/Ind Hygiene
        • Workplace Hazards
        • Safety Programs
        • Regulations
        • Environ Hazards
      • Ergonomics
        • Biomechanics
        • Trauma Disorders
        • Anthropometry
        • Workplace Design
        • Macroergonomics
    • Work Design
      • Methods Analysis
        • Charting
        • Workstation Design
        • Motion Economy
      • Work Measurement
        • Time Study
        • Predet Time Sys
        • Work Sampling
        • Standards
      • Learning Curves
        • Learning Curves
    • Quality
      • Qual Man/Planning/Assurance/Sys
        • Six Sigma
        • QFD
        • TQM
        • House of Quality
        • Fishbone
        • Taguchi Loss Func
      • Quality Control
        • Control Charts
        • Process Capability
        • Sampling Plans
        • OC Curves
        • DOE
    • Sys/Analysis/Design
      • Requirements Analysis/Sys Design
        • Probability - Basic Concepts
      • Functional Analysis/Config Man
        • Mean
      • Risk Management
        • FMEA
        • Fault Trees
        • Uncertainty
      • Life-cycle Engg
        • Linear Curve Fitting
      • Reliability Engg
        • MTTF
        • MTBR
        • Availability
        • Reliability of an Assembly
  • Civil
    • Math/Statistics
      • Analytic Geometry
        • Straight Line
        • Conics
        • Circle
        • Ellipse
        • Parabola
        • Hyperbola
        • Distance Formula
      • Calculus
        • Limits
        • Derivatives
        • Application of Derivatives
        • Partial Derivatives
        • Indefinite Integrals
        • Partial Fractions
        • Trigonometric Functions
        • Definite Integrals
      • Vector Operations
        • Unit Vector
        • Vector Addition
        • Dot Product
        • Cross Product
        • The Del Operator
        • Matrix Operations
        • Gradient
        • Divergence
        • Curl
      • Probability Distributions
        • Probability- Concepts
        • Binomial Distribution
        • Normal Distribution
        • t-distribution
        • Chi-squared Distribution
      • Central Tend./Dispersions
        • Mean
        • Median
        • Mode
        • Standard Deviation
      • Regression/Curve Fitting
        • Linear Curve Fitting
        • Coefficient of Correlation
    • Ethics
      • Codes of Ethics
        • NCEES Model Law
        • Tech. Societies
        • Ethical/Legal Considerations
      • Public Health, Safety & Welfare
        • Public Health, Safety & Welfare
    • Engg Economics
      • Time Value of Money
        • DCF Factors
        • NPV
        • Inflation
      • Cost Types
        • Cost Types
      • Economic Analyses
        • Payback Period Analyses
        • Cost-Benefit Analysis
        • Break-Even Analysis
        • Overhead Analysis
    • Statics
      • Resultant Force
        • Resolution of Forces
        • Resultant of Forces
        • Moment of a Force
        • Couple
      • Concurrent Forces
        • Transmissibility
        • Types of Loads
        • FBD
      • Rigid Body Equil.
        • Types of Supports
        • Static Equilibrium
        • Lami's Theorem
        • Virtual Work
      • Frames/Trusses
        • Method of Joints
        • Method of Section
      • Centroids & M.I.
        • Centroid of Basic Shapes
        • Centroid of a Composite Area
        • Area Moments of inertia
        • Perpendicular Axes Theorem
        • Parallel Axis Theorem
      • Static Friction
        • Static Friction
    • Dynamics
      • Kinematics of Particles
        • Instant. Velocity & Acc
        • Tangential & Normal Acc/a>
        • Constant Acc Motion
        • Variable Acc Motion
        • Relative Motion
        • Uniform Circular Motion
        • Projectile Motion
      • Kinetic Friction
        • Laws of Kinetic Friction
        • Motion Along an Inclined Plane
      • 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
        • Rotation of a Rigid Body under Constant Acceleration
        • Rotation of a Rigid Body under Variable Acceleration
        • Instantaneous Center of Rotation
        • Kennedy's Rule
      • Newton's Second Law- Rigid Bodies
        • One-Dimensional Motion of a Rigid Body
        • Moment of Inertia of a Point Mass
        • Mass Moment of Inertia of a Rigid Body
        • Mass Radius of Gyration
        • Parallel Axis Theorem
      • Work-Energy of Rigid Bodies
        • Kinetic Energy of a Rigid Body
      • Impulse-Momentum of Rigid Bodies
        • Principle of Angular Impulse and Momentum
        • Conservation of Angular Momentum
    • MoM
      • SFD/BMD
        • Definitions
        • Rules & Observations
        • Procedure to Draw SFD/BMD
        • 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 Loads
        • Bending Equation
        • Neutral Axis
        • Modulus of Section
      • Torsional Loads
        • Torsional Shear Stress
      • Shear Stress
        • 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
      • Static Indeterminacy
        • Indeterminate Structures
    • Materials
      • Concrete and Asphalt
        • Concrete and Asphalt
      • Test Methods/Specs
        • Test Methods/Specs
      • Material Properties
        • Mechanical
        • Electrical
        • Thermal
    • Fluid Mechanics
      • Fluid Properties
        • Common Fluid Properties
        • Newton's Law of Viscosity
        • Surface Tension and Capillarity
      • Fluid Statics
        • Pascal's Law
        • Pressure Measurement
        • Hydrostatic Forces on Submerged Surfaces
        • Archimedes Principle and Buoyancy
      • Energy, Impulse/Momentum
        • Continuity Equation
        • Momentum Equation
      • Internal Flow
        • Reynold's Number
        • Losses in Pipes
        • Pipes Connected in Series
        • Pipes Connected in Parallel
        • Friction Factor
        • Noncircular Ducts
      • Power and Efficiency
        • Power and Efficiency
      • Performance Curves
        • Pump Performance Curves
    • Surveying
      • Angles, Distances, Trig
        • Trigonometry
      • Area Computations
        • Triangle Method
      • Earthwork and Volume
        • Earthwork
        • Volume
      • Coordinate Systems
        • State Plane
        • Latitude/Longitude
      • Leveling
        • Differential
        • Elevations
        • Percent Grades
    • Water & Env Engg
      • Hydrology
        • Infiltration
        • Rainfall
        • Runoff
        • Watersheds
      • Hydraulics
        • Manning Equation
        • Bernoulli Theorem
        • Open-channel Flow
      • Pumps
        • Common Fluid Properties
      • Water Distribution
        • Distribution Systems
      • Flood Control
        • Dams
        • Routing
        • Spillways
      • Stormwater
        • Detention
        • Stormwater Routing
        • Stormwater Quality
      • Collection Systems
        • Wastewater Collection Systems
        • Stormwater Collection Systems
      • Groundwater
        • Flow
        • Wells
        • Drawdown
      • Water Quality
        • Ground and Surface
        • Basic Water Chemistry
      • Testing and Standards
        • Water Standards and Testing
        • Wastewater Standards and Testing
        • Air Standards and Testing
        • Noise Standards and Testing
      • Water/Wastewater Treatment
        • Biological Processes
        • Softening
        • Drinking Water Treatment
    • Structural
      • Analysis of Structural Members
        • Common Fluid Properties
      • Deflection of Structural Members
        • Common Fluid Properties
      • Column Analysis
        • Column Analysis
      • Structural Determinacy and Stability Analysis
        • Common Fluid Properties
      • Elementary Statically Indeterminate Structures
        • Force Method of Analysis
        • Member Fixed-End Moments
      • Loads, Load Combinations, and Load Paths
        • Load Paths
        • Load Combinations
        • Tributary Areas
      • Design of Steel Components
        • Tension Members
        • Connections
      • Design of Reinforced Concrete Components
        • Codes and Design Philosophies
        • Beams
        • Columns
    • Geotechnical
      • Index Properties & Soil Classifications
        • Index Properties
        • Soil Classification
      • Phase Relations
        • Volume Relations
        • Weight Relations
      • Laboratory and Field Tests
        • Laboratory and Field Tests
      • Effective Stress
        • Effective Stress
      • Stability of Retaining Structures
        • Active/Passive/At-Rest Pressure
      • Shear Strength
        • Common Fluid Properties
      • Bearing Capacity
        • Shallow Foundation
        • Deep Foundation
      • Foundation Types
        • Spread Footings
        • Deep Foundations
        • Wall Footings
        • Mats
      • Consolidation & Diff Settlement
        • Common Fluid Properties
      • Slope Stability
        • Fills
        • Embankments
        • Cuts
        • Dams
      • Soil Stabilization
        • Soil Erosion
        • Chemical Additives
        • Geosynthetics
    • Transportation
      • Geometric Design
        • Streets
        • Highways
        • Intersections
      • Pavement System
        • Thickness
        • Subgrade
        • Drainage
        • Rehabilitation
      • Traffic Capacity & Flow
        • Flow Characteristics Studies
        • Capacity Studies
      • Traffic Control Devices
        • Signals
      • Transportation Planning
        • Travel Forecast
        • Safety
        • Trip Generation
    • Construction
      • Project Administration
        • Documents
        • Management
        • Procurement
        • Delivery Methods
      • Const. Op/Methods
        • Safety
        • Equipment
        • Productivity Analysis
        • Temp. Erosion Control
      • Project Controls
        • Earned Value
        • Scheduling
        • Resource Allocation
        • Activity Relationships
      • Const. Estimating
        • Requirements
        • Methods
      • Engg Drawings
        • Engg Drawing Interpretation
  • Mech
    • Mathematics
      • Analytic Geometry
        • Straight Line
        • Conics
        • Circle
        • Ellipse
        • Parabola
        • Hyperbola
        • Distance Formula
      • Calculus
        • Limits
        • Derivatives
        • Application of Derivatives
        • Partial Derivatives
        • Indefinite Integrals
        • Partial Fractions
        • Trig Functions
        • Definite Integrals
      • Diff Eqns
        • General Terminology
        • First Order DE
        • Second Order Homogeneous DE
        • Finding DE from Solution
        • Applying Boundary Conditions
        • Laplace Transform
      • Linear Algebra
        • Types of Matrices
        • Determinant
        • Matrix Operations
        • Unit Vector
        • Vector Addition
        • Dot Product
        • Cross Product
        • The Del Operator
        • Gradient
        • Divergence
        • Curl
      • Numerical Methods
        • Newtons Method of Root Extraction
        • Newtons Method of Minimization
        • Forward Rectangular Rule
        • Trapezoidal Rule
        • Simpsons Rule
        • Taylors/MacLaurins Series
      • Algorithm & Logic
        • Flowchart
        • Key Terms
        • Pseudocode
    • Probability/Statistics
      • Probability Distributions
        • Probability Concepts
        • Binomial Distribution
        • Normal Distribution
        • t-distribution
        • Chi-squared Distribution
      • Central Tend/Dispersions
        • Mean
        • Median
        • Mode
        • Standard Deviation
      • Expected Value
        • PDF and CDF
        • Exp Value- Discrete
        • Exp Value- Continuous
      • Regression & Curve Fitting
        • Linear Curve Fitting
        • Coefficient of Correlation
    • Ethics
      • Codes of Ethics
        • NCEES Model Law
        • Tech Societies
        • Ethical/Legal Considerations
      • Public Health, Safety, Welfare
        • Public Health, Safety, Welfare
      • Intellectual Property
        • Intellectual Property
        • Patents/Copyrights
        • Trademarks
        • Trade Secrets
      • Societal Considerations
        • LCA
        • Sustainability
    • Engg Economics
      • Time Value of Money
        • DCF Factors
        • NPV
        • Inflation
      • Cost Types
        • Cost Types
      • Economic Analyses
        • Payback Period
        • Cost-Benefit
        • Break-Even
        • Overhead
    • Electricity & Magnetism
      • Electrical Fundamentals
        • Coulomb's Law
        • Electric Field & Potential
        • Electric Current
        • Resistance
        • Electric Power
        • Magnetostatics
      • DC Circuit Analysis
        • Kirchhoff's Current Law
        • Kirchhoff's Voltage Law
        • Resistances in Series
        • Resistances in Parallel
      • AC Circuit Analysis
        • AC Impedance
        • Average Value
        • RMS value
      • Motors and Generators
        • AC Motor
        • DC Motor
    • Statics
      • Resultants of Force Systems
        • Resolution of Forces
        • Resultant of Forces
        • Moment of a Force
        • Couple
      • Concurrent Force Systems
        • Transmissibility
        • 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/Moment of Inertia
        • Centroid of Basic Shapes
        • Centroid of a Composite Area
        • Area Moments of inertia
        • Perpendicular Axis Theorem
        • Parallel Axis Theorem
      • Static Friction
        • Static Friction
    • Dynamics
      • Kinematics of Particles
        • Instant. Velocity & Acc
        • Tangential & Normal Acc
        • Constant Acc Motion
        • Variable Acc Motion
        • 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
        • Law of 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
        • Rotation of a Rigid Body- Constant Acc
        • Rotation of a Rigid Body- Variable Acc
        • Instant. Center of Rotation
        • Kennedy's Rule
      • Kinematics of Mechanisms
        • Terminology of Mechanisms
      • Newton's Second Law- Rigid Bodies
        • One-Dimensional Motion of a Rigid Body
        • MI of a Point Mass
        • Mass MI of a Rigid Body
        • Mass Radius of Gyration
        • Parallel Axis Theorem
      • Work-Energy of Rigid Bodies
        • Kinetic Energy of a Rigid Body
      • Impulse-Mom of Rigid Bodies
        • Angular Impulse and Mom
        • Conservation of Angular Mom
      • Free and Forced Vibrations
        • Free Vibrations
        • Torsional Vibrations
        • Forced Vibrations
    • Mechanics of Materials
      • 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
      • Stress/Strain- Axial Loads
        • Stress
        • Strain
        • Poisson's Ratio
        • Elastic Constants
        • Factor of Safety
      • Bending Loads
        • Bending Equation
        • Neutral Axis
        • Modulus of Section
      • Torsional Loads
        • Torsional Shear Stress
      • Shear Stress
        • 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
      • Static Indeterminacy
        • Static Indeterminacy
    • Material Prop/Process
      • 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
        • Casting
        • Hot Working
        • Cold working
        • Drawing
        • Blanking and Punching
        • Forging
        • Rolling
        • Bending
        • Powder Metallurgy
        • CNC
        • Non-Traditional Machining
      • Phase Diag/Heat Treating
        • Phase Diagrams
        • Critical Point
        • Triple Point
        • Iron-Iron Carbide Diagram
        • Important Points
        • Allotropes of iron
        • Lever Rule
        • Terminology
        • Steel Heat Treatment Terms
        • Steps in Heat Treatment
      • Corrosion
        • Terminology
        • Mechanism
        • EMF Series
        • Galvanic Series
        • Corrosion Control
      • Failure Mechanisms
        • Creep
        • Stages of Creep
        • Fatigue
        • Stages of Fatigue
        • Crack Propagation- Ductile
        • Crack Propagation- Brittle
    • Fluid Mechanics
      • 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/Mom
        • 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
        • Centrifugal Pumps in Series
        • Centrifugal Pumps in Parallel
        • Efficiency of a Centrifugal Pump
        • NPSH
        • Pump Work Calculations
        • Specific Speed of a Pump
        • Turbines
        • Radial Flow Turbines
        • Axial Flow Turbines
        • Compounding in Steam Turbines
        • Reciprocating Compressors
        • Centrifugal Compressor
        • Volumetric Efficiency
        • Clearance Volume
        • Intercooling
    • Thermodynamics
      • Prop of Ideal Gases/Pure Sub
        • Extensive/Intensive Prop
        • Ideal Gas Laws
        • Specific Heats
        • Enthalpy
        • Entropy
        • Gibbs Free Energy
        • Helmholtz Free Energy
        • Prop of Pure Sub
        • Prop of Steam
      • Energy Transfers
        • Introduction to Energy Transfer
      • 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
        • Efficiency in Cyclic Processes
      • Performance of Components
        • COP
      • Power Cycles
        • Power Cycles
        • Carnot Cycle
        • Rankine Cycle
        • Otto Cycle
      • Refrig/Heat Pump Cycles
        • Stages
      • Nonreacting Mix of Gases
        • Mass/Mole Fractions
        • Dalton's Law
      • Psychrometrics
        • Elements of Psychro Chart
        • Reading a Psychro Chart
      • HVAC Processes
        • HVAC Processes
      • Combustion & Products
        • Combustion of Hydrocarbon in Pure Oxygen
        • Combustion in Air
        • Combustion in Excess Air
        • Stoichiometric Air Fuel (A/F) Ratio
        • Incomplete Combustion
        • Enthalpy of Formation
    • Heat Transfer
      • Conduction
        • Fourier's Law
        • Conduction- Plane Wall
        • Conduction- Cylindrical Wall
        • Conduction- Sphere
        • Thermal Resistance
        • Composite Plane Wall
      • Convection
        • Newton's Law of Cooling
        • Types of Convection
        • Critical Radius of Insulation
        • Heat Generation in Solids
        • Dimensionless Numbers
      • Radiation
        • Perfectly Black Body
        • Stefan-Boltzmann Law
        • Kirchhoff's Law of Radiation
        • Shape Factors
        • Net Energy Exchange
      • Transient Processes
        • Lumped System Analysis
        • Fins
      • Heat Exchangers
        • LMTD
        • Heat Exchanger Effectiveness
        • NTU
        • Effectiveness-NTU Relation
    • Instru/Controls
      • Sensors and Transducers
        • LVDT
        • RTD
        • Thermocouple
        • Strain Gage
        • Wheatstone Bridge
        • Piezoelectric
        • Pressure Sensors
        • pH Sensor
      • Control Systems
        • General Layout
        • Reduction Techniques
      • Dynamic Sys Response
        • Terminology
        • First Order System
        • Second Order System
        • Steady State Errors
      • Measurement Uncertainty
        • Kline-McClintock Eqn
    • Design and Analysis
      • Stress Analysis
        • Stress Types
        • Strain-Design
        • Factor of Safety
      • Failure Theories/Analysis
        • Brittle Material
        • Ductile Materials
        • Variable Loading
      • Deformation and 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
        • Types of Joining Methods
        • Flanged Joints
        • Riveted Joints
        • Failure of Riveted Joints
        • Comparison between Welding and Riveting
        • Cotter Joint for Circular rods (Socket and spigot)
      • Manufacturability
        • Terminology
        • Types of Fits
        • Feature Control Frame
        • Basis of Fits
        • Limit Gauges
      • Quality and Reliability
        • Reliability of an Assembly
      • Components
        • Hydraulic System
        • Pneumatic System
        • Valves
        • Electromechanical Components
      • Engg Drawing- GD & T
        • Interpretation
        • GD & T
  • Other
    • Mathematics
      • Analytic Geometry/Trig
        • Straight Line
        • Conics
        • Circle
        • Ellipse
        • Parabola
        • Hyperbola
        • Distance Formula
        • Trigonometry
      • Diff Eqn
        • Terminology
        • First Order DE
        • Second Order Homogeneous DE
        • Finding DE from Solution
        • Boundary Conditions
        • Laplace Transform
      • Numerical Methods
        • Newtons Method of Root Extraction
        • Newtons Method of Minimization
        • Forward Rectangular Rule
        • Trapezoidal Rule
        • Simpsons Rule
        • Taylors and MacLaurins Series
      • Linear Algebra
        • Types of Matrices
        • Determinant of a Matrix
        • Matrix Operations
        • Unit Vector
        • Addition of Vectors
        • Dot Product
        • Cross Product
        • The Del Operator
        • Gradient
        • Divergence
        • Curl
      • Single-variable Calculus
        • Limits
        • Derivatives
        • Application of Derivatives
        • Partial Derivatives
        • Indefinite Integrals
        • Partial Fractions
        • Trigonometric Functions
        • Definite Integrals
    • Prob/Statistics
      • Estimation
        • Confidence Intervals
      • Expected Value/Error
        • PDF and CDF
        • Expected Value- Discrete
        • Expected Value- Continuous
      • Sample Distributions/Sizes
        • Probability - Basic Concepts
        • Binomial Distribution
        • Normal Distribution
        • t-distribution
        • Chi-squared Distribution
      • Goodness of Fit
        • Linear Curve Fitting
        • Coefficient of Correlation
    • Chemistry
      • Oxidation/Reduction
        • Oxidation/Reduction Reactions
      • Corrosion
        • Terminology
        • Mechanism
        • EMF Series
        • Galvanic Series
        • Corrosion Control
      • Acids and Bases
        • pH
        • Buffers
      • Chemical Reactions
        • Stoichiometry
        • Equilibrium
        • Bioconversion
    • Instru/Controls
      • Sensors
        • LVDT
        • RTD
        • Thermocouple
        • Strain Gage
        • Wheatstone Bridge
        • Piezoelectric Trans
        • Pressure Sensors
        • pH Sensor
      • Data Acquisition
        • Logging
        • Aliasing
        • Nyquist Theorem
        • Filtering
        • Amplification
        • Signal Interface
        • Signal Processing
        • A/D Converters
        • D/A Converters
      • Logic Diagrams
        • NOT, OR, AND
        • NOR, NAND
        • EXOR, EXNOR
        • Time Delays
        • Adv Logic Devices
    • Ethics
      • Codes of Ethics
        • NCEES Model Law
        • Tech Societies
        • Ethical and Legal Considerations
      • Public Health, Safety/Welfare
        • Public Health, Safety/Welfare
      • Societal Considerations
        • LCA
        • Sustainability
    • Safety, Health/Env
      • Industrial Hygiene
        • Carcinogens
        • Toxicology
        • Exposure Limits
        • Radiation Exposure
        • Biohazards
        • Half-life
      • Safety Equipment
        • Pressure-Relief Valves
        • Emergency Shutoffs
        • Fire Prevention and Control
        • PPE
      • Gas Detection/Monitoring
        • Gas Detection/Monitoring
      • Electrical Safety
        • Electromechanical Components
        • Effect of Electrical Current on Human Body
      • Confined Space/Ventilation
        • Confined Space Entry
        • Ventilation Rates
      • Hazard Communications
        • SDS
        • Proper Labeling
        • Concentrations
        • Fire Ratings
        • Safety Equipment
    • Engg Economics
      • Time Value of Money
        • DCF Factors
        • NPV
        • Inflation
      • Cost Types
        • Cost Types
      • Economic Analyses
        • Payback Period
        • Cost-Benefit
        • Break-Even
        • Overhead
      • Uncertainty
        • Exp Value and Risk
      • Project Selection
        • Comparison of Projects
        • Lease/Buy/Make
        • Depreciation
        • Decision Trees
    • Statics
      • Resultant of Forces
        • Resolution of Forces
        • Resultant of Forces
        • Moment of a Force
        • Couple
      • Concurrent Force Systems
        • Transmissibility
        • 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 MI
        • Centroid of Basic Shapes
        • Centroid of a Composite Area
        • Area Moments of inertia
        • Perpendicular Axis Theorem
        • Parallel Axis Theorem
      • Static Friction
        • Static Friction
      • Weight/Mass
        • Conversion between Units
    • Dynamics
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