FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Return Period given Maximum Intensity Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Return Period given Maximum Intensity Example

With values

With units

Only example

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

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

Here is how the Return Period given Maximum Intensity equation looks like.

150 = {(\frac{266.794 \cdot {(2.42 + 0.6)}^{3}}{4})}^{\frac{1}{1.5}}

150 = {(\frac{266.794cm/h \cdot {(2.42h + 0.6)}^{3}}{4})}^{\frac{1}{1.5}}

150 = {(\frac{266.794 \cdot {(2.42 + 0.6)}^{3}}{4})}^{\frac{1}{1.5}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Engineering Hydrology » fx Return Period given Maximum Intensity

Return Period given Maximum Intensity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T r = {(\frac{266.794cm/h \cdot {(2.42h + 0.6)}^{3}}{4})}^{\frac{1}{1.5}}

Next Step Prepare to Evaluate

∴

T r = {(\frac{266.794 \cdot {(2.42 + 0.6)}^{3}}{4})}^{\frac{1}{1.5}}

Next Step Evaluate

∴

T r = 150.000001692903

LAST Step Rounding Answer

∴

T r = 150

Return Period given Maximum Intensity Formula Elements

Variables

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

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

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

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

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

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 Duration given Maximum Intensity

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

How to Evaluate Return Period given Maximum Intensity?

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

FAQs on Return Period given Maximum Intensity

What is the formula to find Return Period given Maximum Intensity?

The formula of Return Period given Maximum Intensity is expressed as Return Period = ((Maximum Intensity*(Duration of Excess Rainfall in Hours+Coefficient a)^(Constant n))/Constant K)^(1/Coefficient x). Here is an example- 13.24461 = ((0.000741094444444444*(8712+0.6)^(3))/4)^(1/1.5).

How to calculate Return Period given Maximum Intensity?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Return Period given Maximum Intensity Formula

Return Period given Maximum Intensity Example

Return Period given Maximum Intensity Solution

Return Period given Maximum Intensity Formula Elements

Other formulas in Maximum Intensity Duration Frequency Relationship category

How to Evaluate Return Period given Maximum Intensity?

FAQs on Return Period given Maximum Intensity

Variable Name