Gumbel's Reduced Variate Calculator

✖Gumbel's Constant is used in Gumbel's method.ⓘ Gumbel's Constant [a]			+10% -10%
✖Flood Discharge having Highest Frequency means it is the discharge value which have highest frequency.ⓘ Flood Discharge having Highest Frequency [Q_f]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%

✖Gumbel's Reduced Variate is a constant used in Gumbel's method.ⓘ Gumbel's Reduced Variate [y]

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Formula

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Gumbel's Reduced Variate

Formula

`"y" = "a"*("Q"_{"f"}-"Q")`

Example

`"37.98"="2"*("20m³/s"-"1.01m³/s")`

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Gumbel's Reduced Variate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Discharge)
y = a*(Q_f-Q)
This formula uses 4 Variables

Variables Used

Gumbel's Reduced Variate - Gumbel's Reduced Variate is a constant used in Gumbel's method.
Gumbel's Constant - Gumbel's Constant is used in Gumbel's method.
Flood Discharge having Highest Frequency - (Measured in Cubic Meter per Second) - Flood Discharge having Highest Frequency means it is the discharge value which have highest frequency.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.

STEP 1: Convert Input(s) to Base Unit

Gumbel's Constant: 2 --> No Conversion Required
Flood Discharge having Highest Frequency: 20 Cubic Meter per Second --> 20 Cubic Meter per Second No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = a*(Q_f-Q) --> 2*(20-1.01)

Evaluating ... ...

y = 37.98

STEP 3: Convert Result to Output's Unit

37.98 --> No Conversion Required

FINAL ANSWER

37.98 <-- Gumbel's Reduced Variate

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 10+ Gumbel's Method Calculators

Gumbel's Constant given Gumbel's Reduced Variate

Go Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Discharge)

Flood Discharge given Gumbel's Reduced Variate

Go Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Discharge

Gumbel's Reduced Variate

Go Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Discharge)

Average Flood Discharge given Flood Discharge Having Highest Frequency

Go Average Discharge = Flood Discharge having Highest Frequency+(0.45*Standard Deviation)

Standard Deviation given Flood Discharge Having Highest Frequency

Go Standard Deviation = (Average Discharge-Flood Discharge having Highest Frequency)/0.45

Flood Discharge Having Highest Frequency

Go Flood Discharge having Highest Frequency = Average Discharge-(0.45*Standard Deviation)

Gumbel's Constant given Standard Deviation

Go Gumbel's Constant = 1.28/Standard Deviation

Standard Deviation given Gumbel's Constant

Go Standard Deviation = 1.28/Gumbel's Constant

Probability of Occurrence given Recurrence Interval

Go Probability = 1-(1/Recurrence Interval)

Recurrence Interval given Probability

Go Recurrence Interval = 1/(1-Probability)

Gumbel's Reduced Variate Formula

Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Discharge)
y = a*(Q_f-Q)

What is Reduced Variate ?

Because both the standard normal variate, z, and the Gumbel reduced variate, u, are functions of F, both z and u were computed with a six significant digit precision.

How to Calculate Gumbel's Reduced Variate?

Gumbel's Reduced Variate calculator uses Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Discharge) to calculate the Gumbel's Reduced Variate, The Gumbel's Reduced Variate is defined as the value of the reduced Variate when we have prior information of other parameters used. Gumbel's Reduced Variate is denoted by y symbol.

How to calculate Gumbel's Reduced Variate using this online calculator? To use this online calculator for Gumbel's Reduced Variate, enter Gumbel's Constant (a), Flood Discharge having Highest Frequency (Q_f) & Discharge (Q) and hit the calculate button. Here is how the Gumbel's Reduced Variate calculation can be explained with given input values -> 37.98 = 2*(20-1.01).

FAQ

What is Gumbel's Reduced Variate?

The Gumbel's Reduced Variate is defined as the value of the reduced Variate when we have prior information of other parameters used and is represented as y = a*(Q_f-Q) or Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Discharge). Gumbel's Constant is used in Gumbel's method, Flood Discharge having Highest Frequency means it is the discharge value which have highest frequency & Discharge is the rate of flow of a liquid.

How to calculate Gumbel's Reduced Variate?

The Gumbel's Reduced Variate is defined as the value of the reduced Variate when we have prior information of other parameters used is calculated using Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Discharge). To calculate Gumbel's Reduced Variate, you need Gumbel's Constant (a), Flood Discharge having Highest Frequency (Q_f) & Discharge (Q). With our tool, you need to enter the respective value for Gumbel's Constant, Flood Discharge having Highest Frequency & Discharge 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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