Equation for Variate 'b' using Frequency Factor Calculator

✖Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).ⓘ Frequency Factor [K_z]

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✖Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution.ⓘ Equation for Variate 'b' using Frequency Factor [b]

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Formula

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Equation for Variate 'b' using Frequency Factor

Formula

`"b" = sqrt(1+(1.3*"K"_{"z"})+(1.1*"K"_{"z"}^(2)))`

Example

`"8"=sqrt(1+(1.3*"7")+(1.1*("7")^(2)))`

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Download Gumbel's Method for Prediction of Flood's Peak Formulas PDF PDF Image

Equation for Variate 'b' using Frequency Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2)))
b = sqrt(1+(1.3*K_z)+(1.1*K_z^(2)))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Variable 'b' in Probable Error - Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution.
Frequency Factor - Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).

STEP 1: Convert Input(s) to Base Unit

Frequency Factor: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = sqrt(1+(1.3*K_z)+(1.1*K_z^(2))) --> sqrt(1+(1.3*7)+(1.1*7^(2)))

Evaluating ... ...

b = 8

STEP 3: Convert Result to Output's Unit

8 --> No Conversion Required

FINAL ANSWER

8 <-- Variable 'b' in Probable Error

(Calculation completed in 00.004 seconds)

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< 8 Confidence Limits Calculators

Probable Error

Go Probable Error = Variable 'b' in Probable Error*(Standard Deviation of the Sample of Size N/sqrt(Sample Size))

Variate 'b' given Probable Error

Go Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N

Equation for Confidence Interval of Variate Bounded by x2

Go Value of 'x2' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval-Function of Confidence Probability*Probable Error

Confidence Interval of Variate Bounded by X2

Go Value of 'x2' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval+Function of Confidence Probability*Probable Error

Equation for Confidence Interval of Variate

Go Value of 'x1' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval-Function of Confidence Probability*Probable Error

Confidence Interval of Variate

Go Value of 'x1' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval+Function of Confidence Probability*Probable Error

Sample Size when Probable Error is Considered

Go Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2

Equation for Variate 'b' using Frequency Factor

Go Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2)))

Equation for Variate 'b' using Frequency Factor Formula

Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2)))
b = sqrt(1+(1.3*K_z)+(1.1*K_z^(2)))

What is Flood Frequency Analysis?

Flood frequency analysis is a technique used by hydrologists to predict flow values corresponding to specific return periods or probabilities along a river. The application of statistical frequency curves to floods was first introduced by Gumbel.

What is Peak Discharge?

In Hydrology, the term Peak Discharge stands for the highest concentration of runoff from the basin area. The concentrated flow of the basin greatly exaggerates and overtops the natural or artificial bank, and this might be called a flood.

How to Calculate Equation for Variate 'b' using Frequency Factor?

Equation for Variate 'b' using Frequency Factor calculator uses Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2))) to calculate the Variable 'b' in Probable Error, The Equation for Variate 'b' using Frequency Factor formula is defined as the dimensionless variable defined by the frequency factor to establish probable error in Gumbel's probable distribution function for extreme conditions. Variable 'b' in Probable Error is denoted by b symbol.

How to calculate Equation for Variate 'b' using Frequency Factor using this online calculator? To use this online calculator for Equation for Variate 'b' using Frequency Factor, enter Frequency Factor (K_z) and hit the calculate button. Here is how the Equation for Variate 'b' using Frequency Factor calculation can be explained with given input values -> 8 = sqrt(1+(1.3*7)+(1.1*7^(2))).

FAQ

What is Equation for Variate 'b' using Frequency Factor?

The Equation for Variate 'b' using Frequency Factor formula is defined as the dimensionless variable defined by the frequency factor to establish probable error in Gumbel's probable distribution function for extreme conditions and is represented as b = sqrt(1+(1.3*K_z)+(1.1*K_z^(2))) or Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2))). Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).

How to calculate Equation for Variate 'b' using Frequency Factor?

The Equation for Variate 'b' using Frequency Factor formula is defined as the dimensionless variable defined by the frequency factor to establish probable error in Gumbel's probable distribution function for extreme conditions is calculated using Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2))). To calculate Equation for Variate 'b' using Frequency Factor, you need Frequency Factor (K_z). With our tool, you need to enter the respective value for Frequency Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Variable 'b' in Probable Error?

In this formula, Variable 'b' in Probable Error uses Frequency Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N

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