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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 destination city when travel by air passengers between cities is given
- Population of origin city when travel by air passengers between cities 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 for drag force to the vehicle body
- Aircraft gross wing area for lifting force provided by the wing body of vehicle
- Desired Take off Weight
- Drag Coefficient Wing Area for Drag Force to the Vehicle Body
- 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 for lifting force provided by wing body of vehicle
- Lifting force provided by the wing body of 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 or 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 35 ft obstacle for known takeoff run
- Distance to clear 35 ft obstacle for clearway distance for continued takeoff
- Field length or the 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 given Air Traffic between Stations i and j
- 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 given Air Trips for the Stated Purpose under Leisure Category
- 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 utility function
- Airline service weekly departing flights from airport 2,3
- Airline service weekly departing flights from airport 2,3 from 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 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 normal Braking mode is established
- Deceleration rate when distance for deceleration in 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 normal braking mode to nominal takeoff speed
- 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 fillet
- Maximum Deviation permissible without Filleting
- Maximum value of deviation of main undercarriage when radius of fillet is given
- Minimum Safety Margin when Maximum Deviation permissible without Filleting is Given
- Minimum safety margin when radius of fillet is given
- Radius of fillet
- Radius of taxiway centerline when radius of fillet is given
- 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 entrance curve
- Deflection angle of entrance curve when deflection of angle at central curve is given
- Deflection of angle at central curve
- Deflection of 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 entrance curve is given
- Radius of Central Curve given Length of Central Curve
- Radius of curve when velocity in turn
- 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
- US Average Airfare Per Mile

Visual Aids

- Allard's Law for Illumination
- Area of 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 for Effective Intensity of abrupt Flash Illuminance
- Instantaneous Intensity when Effective Intensity is Given
- Intensity of Light for modified Illuminance of Allard's Law
- Intensity when Illumination is established
- Luminance of background of light for modified illuminance of Allard's law
- 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 acting on the steel
- Design pressure if the height of cover is less than one pipe diameter
- Design pressure when compressive thrust is given
- Design pressure when the height of cover is equal to, or greater than, one pipe diameter
- Design stress with factor of safety two
- Flexibilty factor limits
- Metal thickness given flexibility factor
- Required wall area of width when allowable stress is given
- The ultimate wall stress
- 4 More formulas!

Circular Curves

- Approximate Chord offset for chord of length
- Central angle for portion of curve approximate for chord definition
- Central angle for portion of curve exact for arc definition
- Central angle of curve for given length of curve
- Central angle of curve for given length of long chord
- Central Angle of Curve for given Tangent Distance
- Degree of curve for given length of curve
- Degree of curve for given radius of curve
- Degree of curve when central angle for portion of curve
- Degree of curve when radius of curve is established
- Exact length of curve
- 9 More formulas!

Radius of Curve

- Radius of curve
- Radius of curve exact for chord
- Radius of curve in terms of external distance
- Radius of curve in terms of length of long chord
- Radius of curve in terms of midordinate
- Radius of Curve in terms of Tangent Distance
- Radius of curve when chord offset for chord of length is given
- Radius of curve when tangent offset for chord of length is given

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 for given flexibility factor
- Modulus of Elasticity when Bulking Stress for Diameters Greater than 126.5r/K is given
- Moment of inertia given flexibility factor
- Pipe diameter for known flexibility factor
- Pipe diameter when Bulking stress For diameters greater than 126.5r/K 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 of vertical curvature
- Elevation of point of vertical intersection
- Elevation of Point x distant from point of vertical curvature
- Elevation of PVC when elevation of lowest point on a sag curve 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 base course when structural number is given
- Actual thickness of subbase course when structural number is given
- Actual thickness of 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
- Distance between wheels when Impact 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
- 11 More formulas!

Radius of Curve

- Radius of Curve when Allowable Speed of Vehicle on curve without super-elevation is Given
- Radius of Curve when Centrifugal Force on vehicle on road without super elevation is Given
- Radius of Curve when Equilibrium Super-elevation on Road is given
- Radius of Curve when General Equation of Super-elevation on Road is Given
- Radius of Curve when Impact Factor on road without super elevation is Given
- Radius of Curve when Super-elevation when lateral friction is neglected is Given
- Radius of Curve when Super-elevation when lateral friction is not considered is Given

Velocity of Vehicle

- Velocity of Vehicle when Centrifugal Force on vehicle on road without super elevation is Given
- Velocity of Vehicle when Equilibrium Super-elevation on Road is given
- Velocity of Vehicle when General Equation of Super elevation on Road is Given
- Velocity of vehicle when Impact Factor on road without super elevation is Given
- Velocity of Vehicle when Super-elevation when lateral friction is neglected is Given
- Velocity of Vehicle when Super-elevation when lateral friction is not considered is Given

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 for velocity of vehicle is in meter per second
- Overtaking Sight Distance when Minimum Overtaking Distance is Given
- Overtaking sight distance when velocity of vehicle is in kmph
- 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 for forward moving vehicle velocity in meter per second
- 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 for velocity in meter per second
- 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

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 for known seat load on rail
- Maximum Contact Shear Stress
- Maximum Load on Rail Seat
- Radius of Wheel when Shear Stress is Given
- Section Modulus of Rail for known Seat Load
- Sleeper Spacing for known seat load on rail
- Slip of Wheel
- Static Wheel Load when Shear Stress is Given
- Wheel Load when seat load is established

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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