Simple Expansion Factor Calculator

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Design of Transition Curves and Setback Distances

✖Total number of household is the number of household in the original population list. It is denoted by "a".ⓘ Total Number of Household [a]			+10% -10%
✖Total number of addresses is the quantity of addresses of the households selected as the original sample.It is denoted by "b".ⓘ Total Number of Addresses [b]			+10% -10%
✖Number of samples is the total leftovers samples where no responses were obtained. It is denoted by "d".ⓘ Number of Samples [d]			+10% -10%

✖Simple Expansion Factor is defined as the ratio of the total number of household addressed in the population to that of the surveyed.ⓘ Simple Expansion Factor [F_i]

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Formula

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Simple Expansion Factor

Formula

`"F"_{"i"} = "a"/("b"-"d")`

Example

`"1.875"="15"/("19"-"11")`

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Simple Expansion Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Simple Expansion Factor = Total Number of Household/(Total Number of Addresses-Number of Samples)
F_i = a/(b-d)
This formula uses 4 Variables

Variables Used

Simple Expansion Factor - Simple Expansion Factor is defined as the ratio of the total number of household addressed in the population to that of the surveyed.
Total Number of Household - Total number of household is the number of household in the original population list. It is denoted by "a".
Total Number of Addresses - Total number of addresses is the quantity of addresses of the households selected as the original sample.It is denoted by "b".
Number of Samples - Number of samples is the total leftovers samples where no responses were obtained. It is denoted by "d".

STEP 1: Convert Input(s) to Base Unit

Total Number of Household: 15 --> No Conversion Required
Total Number of Addresses: 19 --> No Conversion Required
Number of Samples: 11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_i = a/(b-d) --> 15/(19-11)

Evaluating ... ...

F_i = 1.875

STEP 3: Convert Result to Output's Unit

1.875 --> No Conversion Required

FINAL ANSWER

1.875 <-- Simple Expansion Factor

(Calculation completed in 00.004 seconds)

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Created by Avayjit Das

University of Engineering and Management,Kolkata (UEMK), Kolkata

Avayjit Das has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 15 Transportation System Calculators

Average Vehicle Ownership for Current Year

Go Average Vehicle Ownership for Current Year = (Population of Zone for Design Year*Average House-Hold Income for Design Year*Average Vehicle Ownership for Design Year)/(Growth Factor*Average House-Hold Income for Current Year*Population of Zone for Current Year)

Average House Hold Income for Current Year

Go Average House-Hold Income for Current Year = (Population of Zone for Design Year*Average House-Hold Income for Design Year*Average Vehicle Ownership for Design Year)/(Growth Factor*Population of Zone for Current Year*Average Vehicle Ownership for Current Year)

Average House Hold Income for Design Year

Go Average House-Hold Income for Design Year = (Growth Factor*Population of Zone for Current Year*Average House-Hold Income for Current Year*Average Vehicle Ownership for Current Year)/(Population of Zone for Design Year*Average Vehicle Ownership for Design Year)

Average Vehicle Ownership for Design Year

Go Average Vehicle Ownership for Design Year = (Growth Factor*Population of Zone for Current Year*Average House-Hold Income for Current Year*Average Vehicle Ownership for Current Year)/(Population of Zone for Design Year*Average House-Hold Income for Design Year)

Population of Zone for Current Year

Go Population of Zone for Current Year = (Population of Zone for Design Year*Average House-Hold Income for Design Year*Average Vehicle Ownership for Design Year)/(Growth Factor*Average House-Hold Income for Current Year*Average Vehicle Ownership for Current Year)

Population of Zone for Design Year

Go Population of Zone for Design Year = (Growth Factor*Population of Zone for Current Year*Average House-Hold Income for Current Year*Average Vehicle Ownership for Current Year)/(Average House-Hold Income for Design Year*Average Vehicle Ownership for Design Year)

Simple Expansion Factor

Go Simple Expansion Factor = Total Number of Household/(Total Number of Addresses-Number of Samples)

Previous Total Number of Trips using Doubly Constrained growth Factor Model

Go Previous Total Number of Trips = Total Number of Trips/(Growth Factor A*Growth Factor B)

Doubly Constrained Growth Factor Model

Go Total Number of Trips = Previous Total Number of Trips*Growth Factor A*Growth Factor B

Number of Future Trips in Zone

Go Number of Future Trips in the Zone = Number of Current Trips in that Zone*Growth Factor

Number of Current Trips

Go Number of Current Trips in that Zone = Number of Future Trips in the Zone/Growth Factor

Growth Factor

Go Growth Factor = Number of Future Trips in the Zone/Number of Current Trips in that Zone

Uniform Growth Factor

Go Uniform Growth Factor = Expanded Total Number of Trips/Previous Total Number of Trips

Previous Total Number of Trips

Go Previous Total Number of Trips = Total Number of Trips/Uniform Growth Factor

Expanded Total Number of Trip

Go Total Number of Trips = Previous Total Number of Trips*Uniform Growth Factor

Simple Expansion Factor Formula

Simple Expansion Factor = Total Number of Household/(Total Number of Addresses-Number of Samples)
F_i = a/(b-d)

What is an Expansion Factor?

Expansion Factor is used to provide an accurate estimate of AADT from available short-term traffic counts.

How to Calculate Simple Expansion Factor?

Simple Expansion Factor calculator uses Simple Expansion Factor = Total Number of Household/(Total Number of Addresses-Number of Samples) to calculate the Simple Expansion Factor, The Simple Expansion Factor formula is defined as the ratio of the total number of household addressed in the population to that of the surveyed. Simple Expansion Factor is denoted by F_i symbol.

How to calculate Simple Expansion Factor using this online calculator? To use this online calculator for Simple Expansion Factor, enter Total Number of Household (a), Total Number of Addresses (b) & Number of Samples (d) and hit the calculate button. Here is how the Simple Expansion Factor calculation can be explained with given input values -> 1.5 = 15/(19-11).

FAQ

What is Simple Expansion Factor?

The Simple Expansion Factor formula is defined as the ratio of the total number of household addressed in the population to that of the surveyed and is represented as F_i = a/(b-d) or Simple Expansion Factor = Total Number of Household/(Total Number of Addresses-Number of Samples). Total number of household is the number of household in the original population list. It is denoted by "a", Total number of addresses is the quantity of addresses of the households selected as the original sample.It is denoted by "b" & Number of samples is the total leftovers samples where no responses were obtained. It is denoted by "d".

How to calculate Simple Expansion Factor?

The Simple Expansion Factor formula is defined as the ratio of the total number of household addressed in the population to that of the surveyed is calculated using Simple Expansion Factor = Total Number of Household/(Total Number of Addresses-Number of Samples). To calculate Simple Expansion Factor, you need Total Number of Household (a), Total Number of Addresses (b) & Number of Samples (d). With our tool, you need to enter the respective value for Total Number of Household, Total Number of Addresses & Number of Samples and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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