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Duration given Maximum Intensity Formula

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Duration of Excess Rainfall in Hours is time during which continuous rain is observed at a given point or within a given area. Check FAQs

D = {((K \cdot \frac{{T r}^{x}}{i max}) - a^{n})}^{\frac{1}{n}}

D - Duration of Excess Rainfall in Hours?K - Constant K?T_r - Return Period?x - Coefficient x?i_max - Maximum Intensity?a - Coefficient a?n - Constant n?

Duration given Maximum Intensity Example

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Here is how the Duration given Maximum Intensity equation looks like with Values.

Here is how the Duration given Maximum Intensity equation looks like with Units.

Here is how the Duration given Maximum Intensity equation looks like.

3.0121 = {((4 \cdot \frac{150^{1.5}}{266.794}) - {0.6}^{3})}^{\frac{1}{3}}

3.0121h = {((4 \cdot \frac{150^{1.5}}{266.794cm/h}) - {0.6}^{3})}^{\frac{1}{3}}

3.0121 = {((4 \cdot \frac{150^{1.5}}{266.794}) - {0.6}^{3})}^{\frac{1}{3}}

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Duration given Maximum Intensity Solution

Follow our step by step solution on how to calculate Duration given Maximum Intensity?

FIRST Step Consider the formula

D = {((K \cdot \frac{{T r}^{x}}{i max}) - a^{n})}^{\frac{1}{n}}

Next Step Substitute values of Variables

∴

D = {((4 \cdot \frac{150^{1.5}}{266.794cm/h}) - {0.6}^{3})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

D = {((4 \cdot \frac{150^{1.5}}{266.794}) - {0.6}^{3})}^{\frac{1}{3}}

Next Step Evaluate

∴

D = 10843.5055163984s

Next Step Convert to Output's Unit

∴

D = 3.01208486566622h

LAST Step Rounding Answer

∴

D = 3.0121h

Duration given Maximum Intensity Formula Elements

Variables

Duration of Excess Rainfall in Hours

Duration of Excess Rainfall in Hours is time during which continuous rain is observed at a given point or within a given area.

Symbol: D

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Duration of Excess Rainfall in Hours

Constant K

Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant K

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.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Return Period

Coefficient x

Coefficient x for the area represented by the catchment station under consideration.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient x

Maximum Intensity

Maximum Intensity is the ratio of the total amount of rain (rainfall depth) falling during a given period to the duration of the period.

Symbol: i_max

Measurement: SpeedUnit: cm/h

Note: Value should be greater than 0.

Formulas to find Maximum Intensity

Coefficient a

Coefficient a for area represented by the station or coefficient for International Passenger Forecast.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient a

Constant n

Constant n is for the catchment to be determined by the effective rainfall of the catchment.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant n

Other formulas in Maximum Intensity Duration Frequency Relationship category

Go Maximum Intensity in General Form

i max = \frac{K \cdot {T r}^{x}}{{(D + a)}^{n}}

Go Return Period given Maximum Intensity

T r = {(\frac{i max \cdot {(D + a)}^{n}}{K})}^{\frac{1}{x}}

How to Evaluate Duration given Maximum Intensity?

Duration given Maximum Intensity evaluator uses Duration of Excess Rainfall in Hours = ((Constant K*(Return Period^Coefficient x)/Maximum Intensity)-Coefficient a^Constant n)^(1/Constant n) to evaluate 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 evaluate Duration given Maximum Intensity using this online evaluator? To use this online evaluator 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.

FAQs on Duration given Maximum Intensity

What is the formula to find Duration given Maximum Intensity?

The formula of Duration given Maximum Intensity is expressed as Duration of Excess Rainfall in Hours = ((Constant K*(Return Period^Coefficient x)/Maximum Intensity)-Coefficient a^Constant n)^(1/Constant n). Here is an example- 0.002823 = ((4*(150^1.5)/0.000741094444444444)-0.6^3)^(1/3).

How to calculate Duration given Maximum Intensity?

With Constant K (K), Return Period (T_r), Coefficient x (x), Maximum Intensity (i_max), Coefficient a (a) & Constant n (n) we can find Duration given Maximum Intensity using the formula - Duration of Excess Rainfall in Hours = ((Constant K*(Return Period^Coefficient x)/Maximum Intensity)-Coefficient a^Constant n)^(1/Constant n).

Can the Duration given Maximum Intensity be negative?

No, the Duration given Maximum Intensity, measured in Time cannot be negative.

Which unit is used to measure Duration given Maximum Intensity?

Duration given Maximum Intensity is usually measured using the Hour[h] for Time. Second[h], Millisecond[h], Microsecond[h] are the few other units in which Duration given Maximum Intensity can be measured.

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Duration given Maximum Intensity Formula

Duration given Maximum Intensity Example

Duration given Maximum Intensity Solution

Duration given Maximum Intensity Formula Elements

Other formulas in Maximum Intensity Duration Frequency Relationship category

How to Evaluate Duration given Maximum Intensity?

FAQs on Duration given Maximum Intensity

Variable Name