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Maximum Intensity in General Form Formula

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

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

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

Maximum Intensity in General Form Example

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Here is how the Maximum Intensity in General Form equation looks like with Values.

Here is how the Maximum Intensity in General Form equation looks like with Units.

Here is how the Maximum Intensity in General Form equation looks like.

266.794 = \frac{4 \cdot 150^{1.5}}{{(2.42 + 0.6)}^{3}}

266.794cm/h = \frac{4 \cdot 150^{1.5}}{{(2.42h + 0.6)}^{3}}

266.794 = \frac{4 \cdot 150^{1.5}}{{(2.42 + 0.6)}^{3}}

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Maximum Intensity in General Form Solution

Follow our step by step solution on how to calculate Maximum Intensity in General Form?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

i max = \frac{4 \cdot 150^{1.5}}{{(2.42h + 0.6)}^{3}}

Next Step Prepare to Evaluate

∴

i max = \frac{4 \cdot 150^{1.5}}{{(2.42 + 0.6)}^{3}}

Next Step Evaluate

∴

i max = 0.000741094431898434m/s

Next Step Convert to Output's Unit

∴

i max = 266.793995483436cm/h

LAST Step Rounding Answer

∴

i max = 266.794cm/h

Maximum Intensity in General Form Formula Elements

Variables

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

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

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

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 Return Period given Maximum Intensity

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

Go Duration given Maximum Intensity

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

How to Evaluate Maximum Intensity in General Form?

Maximum Intensity in General Form evaluator uses Maximum Intensity = (Constant K*Return Period^(Coefficient x))/(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n) to evaluate the Maximum Intensity, The Maximum Intensity in General Form formula is defined as an extreme precipitation instance, within a critical duration for a river basin, state or region. Maximum Intensity is denoted by i_max symbol.

How to evaluate Maximum Intensity in General Form using this online evaluator? To use this online evaluator for Maximum Intensity in General Form, enter Constant K (K), Return Period (T_r), Coefficient x (x), Duration of Excess Rainfall in Hours (D), Coefficient a (a) & Constant n (n) and hit the calculate button.

FAQs on Maximum Intensity in General Form

What is the formula to find Maximum Intensity in General Form?

The formula of Maximum Intensity in General Form is expressed as Maximum Intensity = (Constant K*Return Period^(Coefficient x))/(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n). Here is an example- 9.6E+7 = (4*150^(1.5))/(8712+0.6)^(3).

How to calculate Maximum Intensity in General Form?

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

Can the Maximum Intensity in General Form be negative?

No, the Maximum Intensity in General Form, measured in Speed cannot be negative.

Which unit is used to measure Maximum Intensity in General Form?

Maximum Intensity in General Form is usually measured using the Centimeter per Hour[cm/h] for Speed. Meter per Second[cm/h], Meter per Minute[cm/h], Meter per Hour[cm/h] are the few other units in which Maximum Intensity in General Form can be measured.

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Maximum Intensity in General Form Formula

Maximum Intensity in General Form Example

Maximum Intensity in General Form Solution

Maximum Intensity in General Form Formula Elements

Other formulas in Maximum Intensity Duration Frequency Relationship category

How to Evaluate Maximum Intensity in General Form?

FAQs on Maximum Intensity in General Form

Variable Name