Return Period given Maximum Intensity Calculator

✖Maximum Intensity is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.ⓘ Maximum Intensity [i_max]			+10% -10%
✖Duration of Excess Rainfall in Hours is time during which continuous rain is observed at a given point or within a given area.ⓘ Duration of Excess Rainfall in Hours [D]			+10% -10%
✖Coefficient a for area represented by the station or coefficient for International Passenger Forecast.ⓘ Coefficient a [a]			+10% -10%
✖Constant n is for the catchment to be determined by the effective rainfall of the catchment.ⓘ Constant n [n]			+10% -10%
✖Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.ⓘ Constant K [K]			+10% -10%
✖Coefficient x for the area represented by the catchment station under consideration.ⓘ Coefficient x [x]			+10% -10%

✖Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.ⓘ Return Period given Maximum Intensity [T_r]

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Return Period given Maximum Intensity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Return Period = ((Maximum Intensity*(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n))/Constant K)^(1/Coefficient x)
T_r = ((i_max*(D+a)^(n))/K)^(1/x)
This formula uses 7 Variables

Variables Used

Return Period - Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.
Maximum Intensity - (Measured in Centimeter per Hour) - Maximum Intensity is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.
Duration of Excess Rainfall in Hours - (Measured in Hour) - Duration of Excess Rainfall in Hours is time during which continuous rain is observed at a given point or within a given area.
Coefficient a - Coefficient a for area represented by the station or coefficient for International Passenger Forecast.
Constant n - Constant n is for the catchment to be determined by the effective rainfall of the catchment.
Constant K - Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.
Coefficient x - Coefficient x for the area represented by the catchment station under consideration.

STEP 1: Convert Input(s) to Base Unit

Maximum Intensity: 266.794 Centimeter per Hour --> 266.794 Centimeter per Hour No Conversion Required
Duration of Excess Rainfall in Hours: 2.42 Hour --> 2.42 Hour No Conversion Required
Coefficient a: 0.6 --> No Conversion Required
Constant n: 3 --> No Conversion Required
Constant K: 4 --> No Conversion Required
Coefficient x: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_r = ((i_max*(D+a)^(n))/K)^(1/x) --> ((266.794*(2.42+0.6)^(3))/4)^(1/1.5)

Evaluating ... ...

T_r = 150.000001692903

STEP 3: Convert Result to Output's Unit

150.000001692903 --> No Conversion Required

FINAL ANSWER

150.000001692903 ≈ 150 <-- Return Period

(Calculation completed in 00.020 seconds)

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< Maximum Intensity Duration Frequency Relationship Calculators

Duration given Maximum Intensity

LaTeX Go Duration of Excess Rainfall in Hours = ((Constant K*(Return Period^Coefficient x)/Maximum Intensity)-Coefficient a^Constant n)^(1/Constant n)

Return Period given Maximum Intensity

LaTeX Go Return Period = ((Maximum Intensity*(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n))/Constant K)^(1/Coefficient x)

Maximum Intensity in General Form

LaTeX Go Maximum Intensity = (Constant K*Return Period^(Coefficient x))/(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n)

Return Period given Maximum Intensity Formula

LaTeX Go

Return Period = ((Maximum Intensity*(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n))/Constant K)^(1/Coefficient x)
T_r = ((i_max*(D+a)^(n))/K)^(1/x)

What is Precipitation?

Precipitation is a form of water from the atmosphere. It is a term in meteorology, and includes rain, snow, sleet, ice pellets dew, frost, and hail. These form by condensation from atmospheric water vapor, and fall under gravity. Fog and mist are not precipitation but suspensions..

How to Calculate Return Period given Maximum Intensity?

Return Period given Maximum Intensity calculator uses Return Period = ((Maximum Intensity*(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n))/Constant K)^(1/Coefficient x) to calculate the Return Period, The Return Period given Maximum Intensity formula is defined as an estimate of how long it will be between rainfall events of a given magnitude. Return Period is denoted by T_r symbol.

How to calculate Return Period given Maximum Intensity using this online calculator? To use this online calculator for Return Period given Maximum Intensity, enter Maximum Intensity (i_max), Duration of Excess Rainfall in Hours (D), Coefficient a (a), Constant n (n), Constant K (K) & Coefficient x (x) and hit the calculate button. Here is how the Return Period given Maximum Intensity calculation can be explained with given input values -> 13.24461 = ((0.000741094444444444*(8712+0.6)^(3))/4)^(1/1.5).

FAQ

What is Return Period given Maximum Intensity?

The Return Period given Maximum Intensity formula is defined as an estimate of how long it will be between rainfall events of a given magnitude and is represented as T_r = ((i_max*(D+a)^(n))/K)^(1/x) or Return Period = ((Maximum Intensity*(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n))/Constant K)^(1/Coefficient x). Maximum Intensity is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period, Duration of Excess Rainfall in Hours is time during which continuous rain is observed at a given point or within a given area, Coefficient a for area represented by the station or coefficient for International Passenger Forecast, Constant n is for the catchment to be determined by the effective rainfall of the catchment, Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment & Coefficient x for the area represented by the catchment station under consideration.

How to calculate Return Period given Maximum Intensity?

The Return Period given Maximum Intensity formula is defined as an estimate of how long it will be between rainfall events of a given magnitude is calculated using Return Period = ((Maximum Intensity*(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n))/Constant K)^(1/Coefficient x). To calculate Return Period given Maximum Intensity, you need Maximum Intensity (i_max), Duration of Excess Rainfall in Hours (D), Coefficient a (a), Constant n (n), Constant K (K) & Coefficient x (x). With our tool, you need to enter the respective value for Maximum Intensity, Duration of Excess Rainfall in Hours, Coefficient a, Constant n, Constant K & Coefficient x 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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