Duration given Maximum Intensity Calculator

✖Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.ⓘ Constant K [K]			+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 [T_r]			+10% -10%
✖Coefficient x for the Area represented by the catchment station under consideration.ⓘ Coefficient x [x]			+10% -10%
✖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%
✖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%

✖Duration of Excess Rainfall in Hours is time during which continuous rain is observed at a given point or within a given area or Excess Rainfall of the Unit Hydrograph used in deriving the S-curve.ⓘ Duration given Maximum Intensity [D]

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Formula

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Duration given Maximum Intensity

Formula

`"D" = (("K"*("T"_{"r"}^"x")/"i"_{"max"})-"a"^"n")^(1/"n")`

Example

`"3.012085h"=(("4"*(("150")^"1.5")/"266.794cm/h")-("0.6")^"3")^(1/"3")`

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Duration given Maximum Intensity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 or Excess Rainfall of the Unit Hydrograph used in deriving the S-curve.
Constant K - Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.
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.
Coefficient x - Coefficient x for the Area represented by the catchment station under consideration.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Constant K: 4 --> No Conversion Required
Return Period: 150 --> No Conversion Required
Coefficient x: 1.5 --> No Conversion Required
Maximum Intensity: 266.794 Centimeter per Hour --> 266.794 Centimeter per Hour No Conversion Required
Coefficient a: 0.6 --> No Conversion Required
Constant n: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = ((K*(T_r^x)/i_max)-a^n)^(1/n) --> ((4*(150^1.5)/266.794)-0.6^3)^(1/3)

Evaluating ... ...

D = 3.01208486566622

STEP 3: Convert Result to Output's Unit

10843.5055163984 Second -->3.01208486566622 Hour (Check conversion here)

FINAL ANSWER

3.01208486566622 ≈ 3.012085 Hour <-- Duration of Excess Rainfall in Hours

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 3 Maximum Intensity-Duration-Frequency Relationship Calculators

Duration given Maximum Intensity

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

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

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

Duration given Maximum Intensity Formula

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

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 Duration given Maximum Intensity?

Duration given Maximum Intensity calculator uses Duration of Excess Rainfall in Hours = ((Constant K*(Return Period^Coefficient x)/Maximum Intensity)-Coefficient a^Constant n)^(1/Constant n) to calculate the Duration of Excess Rainfall in Hours, The Duration given Maximum Intensity formula is defined as the rainfall depth or intensity for a given frequency, and therefore affects the, resulting runoff peak and volume. Duration of Excess Rainfall in Hours is denoted by D symbol.

How to calculate Duration given Maximum Intensity using this online calculator? To use this online calculator for Duration given Maximum Intensity, enter Constant K (K), Return Period (T_r), Coefficient x (x), Maximum Intensity (i_max), Coefficient a (a) & Constant n (n) and hit the calculate button. Here is how the Duration given Maximum Intensity calculation can be explained with given input values -> 0.002823 = ((4*(150^1.5)/0.000741094444444444)-0.6^3)^(1/3).

FAQ

What is Duration given Maximum Intensity?

The Duration given Maximum Intensity formula is defined as the rainfall depth or intensity for a given frequency, and therefore affects the, resulting runoff peak and volume and is represented as D = ((K*(T_r^x)/i_max)-a^n)^(1/n) or Duration of Excess Rainfall in Hours = ((Constant K*(Return Period^Coefficient x)/Maximum Intensity)-Coefficient a^Constant n)^(1/Constant n). Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment, 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, Coefficient x for the Area represented by the catchment station under consideration, Maximum Intensity is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period, 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.

How to calculate Duration given Maximum Intensity?

The Duration given Maximum Intensity formula is defined as the rainfall depth or intensity for a given frequency, and therefore affects the, resulting runoff peak and volume is calculated using Duration of Excess Rainfall in Hours = ((Constant K*(Return Period^Coefficient x)/Maximum Intensity)-Coefficient a^Constant n)^(1/Constant n). To calculate Duration given Maximum Intensity, you need Constant K (K), Return Period (T_r), Coefficient x (x), Maximum Intensity (i_max), Coefficient a (a) & Constant n (n). With our tool, you need to enter the respective value for Constant K, Return Period, Coefficient x, Maximum Intensity, Coefficient a & Constant n 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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