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Airport Planning and Design

Air Trip Distribution Models

- Constant of Proportionality for greater Air Trip Distances
- Constant of Proportionality when Air Passengers between Cities i and j is Given
- Constant of Proportionality when Travel by Air Passengers between Cities is Given
- Cost of Travel between i and j when Travel by Air Passengers between Cities is Given
- Distance between i and j when Travel by Air Passengers between Cities i and j is Given
- Population of the Destination City when Travel by Air Passengers between Cities i and j is Given
- Population of the Origin City when Travel by Air Passengers between Cities i and j is Given
- Total Air Trips generated in City i for greater Air Trip Distances
- Total Air Trips generated in City i when Travel by Air Passengers between Cities is Given
- Total Air Trips generated in City j for greater Air Trip Distances
- Total Air Trips generated in City j when Travel by Air Passengers between Cities is Given
- 4 More formulas!

Modified form of Gravity Model used in Canada for Travel by Air Passengers between Cities

- Constant of Proportionality when Travel by Air Passengers between Cities i and j is Given
- Distance between Cities i and j when Travel by Air Passengers between the Cities is Given
- Indicator of Attraction to City j when Travel by Air Passengers between the Cities is Given
- Indicator of Road Condition around City i when Travel by Air Passengers between the Cities is Given
- Percent of Manufacturing and Retail Employment of Total Employment at i
- Percent of Manufacturing and Retail Employment of Total Employment at J
- Population at City i when Travel by Air Passengers between Cities i and j is Given
- Population at city j when Travel by Air Passengers between Cities i and j is Given
- Seats Available between i and j when Travel by Air Passengers between the Cities is Given
- Service Reliability Indicator when Travel by Air Passengers between the Cities is Given
- Travel by Air Passengers between the Origin and Destination Cities
- 1 More formulas!

Aircraft Runway Length Estimation

- Aerodrome Reference Temperature when Corrected Take off Length is Given
- Aircraft Gross Wing Area when Drag Force to the Vehicle Body is Given
- Aircraft Gross Wing Area when Lifting Force provided by the Wing-body of the Vehicle is Given
- Desired Take off Weight
- Drag Coefficient Wing Area when Drag Force to the Vehicle Body is Given
- Drag Force to the Vehicle Body
- Friction Force due to Rolling Resistance
- Fuel Weight to be Carried when Desired Take off Weight is Given
- Lift Coefficient when Lifting Force provided by the Wing-body of the Vehicle is Given
- Lifting Force provided by the Wing-body of the Vehicle
- Lifting Force when Friction Force due to Rolling Resistance is Given
- 11 More formulas!

Runway Takeoff Length

- Runway Elevation when Runway Take off Length Corrected for Elevation is Given
- Runway Slope when Runway Take off Length Corrected for Elevation, Temperature and Slope is Given
- Runway Take off Length Corrected for Elevation
- Runway Take off Length Corrected for Elevation and Temperature
- Runway Take off Length Corrected for Elevation, Temperature and Slope

Engine-Out Takeoff Case under Estimation of Runway Length

Aborted Takeoff

- Distance to Accelerate and Stop when Full Strength Pavement Distance is Given
- Field Length (Total Amount of Runway needed)
- Full Strength Pavement Distance for Aborted Takeoff
- Full Strength Pavement Distance for known Field Length
- Stopway Distance when Field Length is Given
- Stopway Distance when Full Strength Pavement Distance is Given

Continued Takeoff

- Clearway Distance for a Continued Takeoff
- Clearway Distance when Field Length under Continued Takeoff is Given
- Clearway Distance when Takeoff Run is Given
- Distance of the 35 ft. Obstacle when Takeoff Run is Given
- Distance to Clear 35 ft. Obstacle when Clearway Distance for a Continued Takeoff is Given
- Field Length (Total Amount of Runway Needed) under Continued Takeoff
- Full Strength Pavement Distance when Field Length is Given
- Liftoff Distance when Clearway Distance for a Continued Takeoff is Given
- Takeoff Run for Continued Takeoff

Generation-Distribution Models

- Air Trips between i and j
- Air Trips in Year y for the Stated Purpose under Leisure Category
- Country Pair Relation Index when Air Traffic between Stations i and j is Given
- Distance between Cities i and j when Volume of Air Passenger Traffic between the Cities is Given
- Factor to adjust for Quantum Effects when Air Trips between i and j is Given
- Income for Leisure when Air Trips for the Stated Purpose under Leisure Category is Given
- Mode-Specific Econometric Model for Air Traffic between Stations i and j
- Population at i when Air Trips between i and j is Given
- Population at Origin when Air Trips in Year y for the Stated Purpose under Leisure Category
- Population of City i when Volume of Air Passenger Traffic between City i and City j
- Population of City j when Volume of Air Passenger Traffic between City i and City j
- 5 More formulas!

Integrated Demand Forecast Framework

- Air Transport Movement Per Aircraft
- Airline Industry Wages
- Average Trip Length when Passenger Enplanements is Given
- Jet Fuel Price when Yield is Given
- Passenger Enplanements
- Real Gross National Product
- Real Yield when Revenue Passenger Miles is Given
- Regression Model Formulation for Yield
- Revenue Passenger Miles
- Revenue Passenger Miles when Passenger Enplanements is Given

Multi-Airport Region Forecast Framework

- Airline Service (Weekly Departing Flights) from Airport 1
- Airline Service (Weekly Departing Flights) from Airport 1 from the Utility Function
- Airline Service (Weekly Departing Flights) from Airport 2,3
- Airline Service (Weekly Departing Flights) from Airport 2,3 from the Utility Function
- Model Formulation for International Passenger Forecasts
- Model Formulation for International Passenger Forecasts developed by IATA
- Percent of Passengers from the Utility Function
- Percent of Passengers in Analysis Zone using Airports 1, 2 and 3
- Percent of Passengers in Analysis Zone using Airports 2 and 3
- Percent of Passengers in Analysis Zone using Airports 2 and 3 from the Utility Function
- Travel Times from Analysis Zone to Airports 1 from the Utility Function
- 4 More formulas!

Normal Takeoff Cases under Estimation of Runway Length

- Clearway Distance
- Clearway Distance when Field Length is Given
- Clearway Distance when Takeoff Run of the aircraft is Given
- Field Length
- Full Strength Pavement Distance
- Lift off Distance when Clearway Distance is Given
- Takeoff Distance when Clearway Distance is Given
- Takeoff Distance when Takeoff Run is Given
- Takeoff Run

Stalling and Lift-off Speeds

- Aircraft Gross Wing Area when Vehicle Speed Under Steady Flight Conditions is Given
- Aircraft Gross Wing Area when Vehicle Stalling Speed is Given
- Lift Coefficient when Vehicle Speed Under Steady Flight Conditions is Given
- Maximum Attainable Lift Coefficient is Given when Vehicle Stalling Speed is Given
- Vehicle Speed Under Steady Flight Conditions
- Vehicle Stalling Speed when Maximum Attainable Lift Coefficient is Given

Taxiway and Exit Taxiway Design

Taxiway Design

Braking Distance

- Assumed Brake application speed when Distance for Deceleration in a normal Braking mode is Given
- Deceleration rate when Distance for Deceleration in a normal Braking mode (S3) is Given
- Deceleration rate when Distance for Deceleration in a normal Braking mode is Given
- Distance for the Transition from Main gear Touchdown to create Stabilized Braking Configuration
- Distance required for Deceleration in a normal Braking mode to a Nominal Takeoff Speed
- Distance required for Deceleration in a normal Braking mode to a Nominal Takeoff Speed (S3)
- Distance required for Transition from Maingear Touchdown to create Stabilized Braking Configuration
- Nominal Turn-Off Speed when Distance for Deceleration in a normal Braking mode is Given
- Nominal Turn-off Speed when Distance required for Deceleration in a normal Braking mode is Given
- Threshold Speed when Distance required for Transition from Maingear Touchdown is given
- Threshold Speed when when Distance for Deceleration in a normal Braking mode is Given
- 2 More formulas!

Design of Fillets

- Aircraft Datum Length when Length of each Wedge-shaped End of Fillet is Given
- Distance along the Straight Taxiway Center line when Length of each End of Fillet is Given
- Length of Each Wedge-Shaped End of the Fillet
- Maximum Deviation permissible without Filleting
- Maximum Value of the Deviation of the Main Undercarriage when Radius of the Fillet is Given
- Minimum Safety Margin when Maximum Deviation permissible without Filleting is Given
- Minimum Safety Margin when Radius of the Fillet is Given
- Radius of Taxiway Centerline when Radius of the Fillet is Given
- Radius of the Fillet
- Taxiway Width when Maximum Deviation permissible without Filleting is Given
- Track of Main Undercarriage when Maximum Deviation permissible without Filleting is Given
- 2 More formulas!

Taxiway Width

- Clearance between Outer Main Gear Wheel and Taxiway Edge when Taxiway Width is Given
- Clearance between Outer Main Gear Wheel and Taxiway Edge when Wing Tip Clearance is Given
- Clearance when Separation Distance between Taxiway and Object is Given
- Lateral Deviation when Separation Distance between Aircraft Stand Taxi lane-to-object is Given
- Maximum Outer Main Gear Wheel Span when Taxiway Width is Given
- Separation Distance between a Runway and a Parallel Taxiway
- Separation Distance between Aircraft Stand Taxi lane-to-object
- Separation Distance between Taxiway and Object
- Separation Distance when Wing Tip Clearance is Given
- Strip Width when Separation Distance between a Runway and a Parallel Taxiway is Given
- Taxiway Width
- 8 More formulas!

Turning Radius

- Deceleration when Sight Distance is Given
- Deflection Angle of the Entrance Curve
- Deflection angle of the Entrance Curve when Deflection of the Angle at Central Curve is Given
- Deflection of the Angle at Central Curve
- Deflection of the Angle at Central Curve when Length of Central Curve is Given
- Distance between Midway Points of Main Gears and the Edge of Taxiway Pavements
- Horonjeff Equation for Turning Radius of Taxiway
- Length of Central Curve
- Length of Entrance Curve when Deflection Angle of the Entrance Curve is Given
- Radius of Central Curve when Length of Central Curve is Given
- Radius of Entrance Curve when Deflection Angle of the Entrance Curve is Given
- 8 More formulas!

Typical Regression-based Econometric Model to Predict Total Air Passengers

- Boston Regional Income Per Capita
- Boston-based Domestic Air Passengers Per Capita
- Boston-based International Air Passengers Per Capita
- Per-capita Income of Catchment Area
- Population of Catchment Area
- Predicted Passenger Enplanements in a Regional Airport in Virginia
- Real Average Yield Per Domestic Passenger-Mile
- Real Average Yield Per International Passenger-Mile
- U.S. Average Airfare Per Mile

Visual Aids

- Allard's Law for Illumination
- Area of the Light when modified Illuminance of Allard's Law is Given
- Effective Intensity
- Effective Intensity for an abrupt Flash of Constant Illuminance
- Flash producing relatively Constant Illuminance
- Illuminance when Effective Intensity is Given
- Instantaneous Intensity when Effective Intensity for abrupt Flash Illuminance is Given
- Instantaneous Intensity when Effective Intensity is Given
- Intensity of Light when modified Illuminance of Allard's Law is Given
- Intensity when Illumination is Given
- Luminance of the background of the Light when modified Illuminance of Allard's Law is Given
- 6 More formulas!

Highway and Road

American Iron and Steel Institute (AISI) Design

- Compressive thrust on the conduit wall
- Compressive thrust when axial load is given
- design pressure(Pv) acting on the steel
- design pressure(Pv) if the height of cover is less than one pipe diameter
- Design pressure(Pv) when compressive thrust is given
- design pressure(Pv) when the height of cover is equal to, or greater than, one pipe diameter
- Design stress when saftey factor 2 is applied.
- Flexibilty factor limits
- Metal thickness when flexibility factor is given
- Required wall area of width when allowable stress is given
- The ultimate wall stress when the ratio D/r does not exceed 294
- 4 More formulas!

Circular Curves

- Central angle for portion of curve(approximate for chord definition)
- Central angle for portion of curve(exact for arc definition)
- Central angle of curve when length of curve is given
- Central angle of curve when length of long chord is given
- Central Angle of Curve when Tangent Distance is given
- Chord Offset for Chord of Length(approximate)
- Degree of curve when central angle for portion of curve
- Degree of curve when length of curve is given
- Degree of curve when radius of curve is given(exact for arc definition, approx for chord definition)
- Degree of curve when radius of curve is given(exact for chord definition)
- Exeternal distance(Exact)
- 9 More formulas!

Radius of Curve

- Radius of curve when chord offset for chord of length is given
- Radius of curve when external distance is given
- Radius of curve when length of long chord is given
- Radius of curve when midordinate is given
- Radius of Curve when Tangent Distance is given
- Radius of curve when tangent offset for chord of length is given
- Radius of curve(approximate for chord definition)
- Radius of curve(exact for chord definition)

Design of Highway Culverts

- Bulking stress
- Bulking stress For diameters greater than 126.5r/K
- Dead load pressure when thrust is given
- Flexibility factor
- Live load pressure when thrust is given
- Modulus of Elasticity when Bulking Stress for Diameters Greater than 126.5r/K is given
- Modulus of elasticity when flexibility factor is given
- Moment of inertia when flexibility factor is given
- Pipe diameter when Bulking stress For diameters greater than 126.5r/K is given
- Pipe diameter when flexibility factor is given
- Pipe diamter when bulking stress is given
- 7 More formulas!

Parabolic Curves

- Distance from PVC to Lowest Point on a Sag Curve
- Elevation of lowest point on a sag curve
- Elevation of Point x Distant from PVC(point of vertical curvature)
- Elevation of PVC when elevation of lowest point on a sag curve is given
- Elevation of PVC(point of vertical curvature)
- Elevation of PVI(point of vertical intersection) when elevation of PVC is given
- Grade at Beginning of Curve when Elevation of Point x Distant from PVC is given
- Length of curve when rate of change of grade is given in parabolic curves
- Rate of change of grade in parabolic curves
- Rate of change of grade when distance from PVC to lowest point on a sag curve is given

Structural Numbers for Flexible Pavements

- Actual Thickness of the Base Course when Structural Number is Given
- Actual Thickness of the Subbase Course when Structural Number is Given
- Actual Thickness of the Surface Course when Structural Number is Given
- Drainage Coefficient for the Base Course when Structural Number is Given
- Drainage Coefficient for the Subbase when Structural Number is Given
- Layer Coefficient for the Base Course when Structural Number is Given
- Layer Coefficient for the Subbase Course When Structural Number is Given
- Layer Coefficient for the Surface Course when Structural Number is Given
- Structural Number for the Base Course
- Structural Number for the Subbase Course
- Structural Number for the Surface Course
- 2 More formulas!

Highway Geometric Design

Gradients

- Camber when Gradient is given
- Distance from center of camber when Height for a Parabolic Shape Camber is Given
- Grade Compensation formula 1
- Grade Compensation formula 2
- Gradient when Camber is given
- Gradient when Height for a Parabolic Shape Camber is Given
- Height for a Parabolic Shape Camber
- Height for a Straight Line Camber
- Radius of Road when Grade Compensation formula 1 is Given
- Radius of Road when Grade Compensation formula 2 is Given
- Width of Road when Height for a Parabolic Shape Camber is Given
- 2 More formulas!

Horizontal Curves

- Allowable Speed of Vehicle on curve without super-elevation
- Centrifugal Factor on road without super elevation for equilibrium
- Centrifugal Force on a vehicle moving on road without superelevation
- Centrifugal Force when Centrifugal Ratio on road without super elevation is Given
- Centrifugal Ratio on road without super elevation
- Coefficient of Friction when General Equation of Super-elevation on Road is Given
- Distance between wheels when Centrifugal Factor on road for equilibrium is Given
- Equilibrium Super-elevation on Road
- Friction when Allowable Speed of Vehicle on curve without super-elevation is Given
- General Equation of Super-elevation on Road
- Height of vehicle centroid when Centrifugal Factor on road for equilibrium is Given
- 23 More formulas!

Sight Distances

- Acceleration of vehicle when Total Time of Travel in Overtaking Sight distance is Given
- Intermediate Sight Distance
- Minimum Overtaking Distance
- Overtaking Sight Distance when Minimum Overtaking Distance is Given
- Overtaking sight distance when velocity of vehicle is in kmph
- Overtaking sight distance when velocity of vehicle is in m/s
- Perception Time when Total Reaction Time in Stopping Sight Distance is Given
- Retardation of the Vehicle
- Spacing between vehicles when Total Time of Travel in Overtaking Sight distance is Given
- Total Time of Travel in Overtaking Sight distance
- Velocity of overtaking vehicle when forward moving vehicle velocity is given in Kmph
- 7 More formulas!

Reaction Time

- Break Reaction Time when Total Reaction Time in Stopping Sight Distance is Given
- Reaction Time in lag distance when Velocity is Given in Kmph
- Reaction Time when Lag Distance or Reaction Distance is Given
- Total Reaction Time in Stopping Sight Distance
- Total reaction time when stopping sight distance is given

SSD

- Stopping Sight Distance
- Stopping sight distance on a level ground with breaking efficiency n
- Stopping sight distance on an inclined surface with breaking efficiency n
- Stopping sight distance on an upward inclined surface
- Stopping Sight Distance when Intermediate Sight Distance is Given
- Stopping sight distance when velocity in m/s is given

Railway Engineering

Track and Track Stresses

- Diameter of Wheel when Lap of Flange is Given
- Extra Track Width in Curves
- Lap of Flange when Diameter of Wheel is Given
- Lap of Flange when Extra Width of Track is Given
- Radius of Curve when Extra Width is Given
- Wheel Base when Extra Width is Given

Lateral Forces

- Characteristic Length when Seat Load on Rail is Given
- Maximum Contact Shear Stress
- Maximum Load on Rail Seat
- Radius of Wheel when Shear Stress is Given
- Section Modulus of Rail when Seat Load is Given
- Sleeper Spacing when Seat Load on Rail is Given
- Slip of Wheel
- Static Wheel Load when Shear Stress is Given
- Wheel Load when Seat Load is Given

Vertical Loads

- Bending Moment on Rail
- Characteristic Length of Rail
- Crank Pin Diameter when Hammer Blow is Given
- Dynamic Overload at Joints
- Flexural Stiffness when Characteristic Length is Given
- Force in Connecting Rod
- Hammer Blow
- Isolated Vertical Load when Moment is Given
- Length of Connecting Rod when Vertical Component is Given
- Mass of Reciprocating Parts when Force is Given
- Mass per Wheel when Dynamic Load is Given
- 10 More formulas!

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