Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Calculator

✖wind speed with r year return period is the wind speed in r year of return period.ⓘ Wind Speed with r Year Return Period [U_r]			+10% -10%
✖Mean Value of Maximum Monthly Wind Speeds.ⓘ Mean Value of Maximum Monthly Wind Speeds [U_m]			+10% -10%
✖Return Period of wind is an average time or an estimated average time between events such as winds.ⓘ Return Period of Wind [T_r]			+10% -10%

✖Standard Deviation of Maximum Monthly Wind Speeds.ⓘ Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period [σ_m]

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Formula

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Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period

Formula

`"σ"_{"m"} = ("U"_{"r"}-"U"_{"m"})/(0.78*(ln(12*"T"_{"r"})-0.577))`

Example

`"3.326324"=("32.6m/s"-"17.50m/s")/(0.78*(ln(12*"50")-0.577))`

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Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577))
σ_m = (U_r-U_m)/(0.78*(ln(12*T_r)-0.577))
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Standard Deviation of Maximum Monthly Wind Speeds - Standard Deviation of Maximum Monthly Wind Speeds.
Wind Speed with r Year Return Period - (Measured in Meter per Second) - wind speed with r year return period is the wind speed in r year of return period.
Mean Value of Maximum Monthly Wind Speeds - (Measured in Meter per Second) - Mean Value of Maximum Monthly Wind Speeds.
Return Period of Wind - Return Period of wind is an average time or an estimated average time between events such as winds.

STEP 1: Convert Input(s) to Base Unit

Wind Speed with r Year Return Period: 32.6 Meter per Second --> 32.6 Meter per Second No Conversion Required
Mean Value of Maximum Monthly Wind Speeds: 17.5 Meter per Second --> 17.5 Meter per Second No Conversion Required
Return Period of Wind: 50 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_m = (U_r-U_m)/(0.78*(ln(12*T_r)-0.577)) --> (32.6-17.5)/(0.78*(ln(12*50)-0.577))

Evaluating ... ...

σ_m = 3.32632445851365

STEP 3: Convert Result to Output's Unit

3.32632445851365 --> No Conversion Required

FINAL ANSWER

3.32632445851365 ≈ 3.326324 <-- Standard Deviation of Maximum Monthly Wind Speeds

(Calculation completed in 00.004 seconds)

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< 9 Return Period and Encounter Probability Calculators

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period

Go Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577))

Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period

Go Mean Value of Maximum Monthly Wind Speeds = Wind Speed with r Year Return Period-(0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577))

Wind Speed with r-year Return Period

Go Wind Speed with r Year Return Period = Mean Value of Maximum Monthly Wind Speeds+0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577)

Significant Wave Height for Free Long Waves

Go Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25

Velocity at Surface given Volume Flow Rate Per Unit of Ocean Width

Go Velocity at the Surface = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Depth of Frictional Influence

Encounter Probability

Go Encounter Probability = 1-(1-(Time Interval associated with each data point/Return Period of Wind))^(Desired Time Period)

Cumulative Probability of Design Significant Wave Height given Return Period

Go Cumulative Probability = -((Time Interval associated with each data point/Return Period of Wind)-1)

Time Interval Associated with Each Data Point given Return Period

Go Time Interval associated with each data point = Return Period of Wind*(1-Cumulative Probability)

Return Period given Cumulative Probability

Go Return Period of Wind = Time Interval associated with each data point/(1-Cumulative Probability)

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period Formula

What is Return Period?

Extreme conditions in coastal engineering are often described in terms of return values and return periods. A Return Period, also known as a recurrence interval or repeat interval, is an average time or an estimated average time between events such as earthquakes, floods, landslides, or river discharge flows to occur.

What is Standard deviation?

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

How to Calculate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period?

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period calculator uses Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577)) to calculate the Standard Deviation of Maximum Monthly Wind Speeds, The Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period formula is defined as a parameter influencing extreme wind speeds by a simple approach using monthly extreme wind speeds may be helpful in conjunction with limited data sets. Standard Deviation of Maximum Monthly Wind Speeds is denoted by σ_m symbol.

How to calculate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period using this online calculator? To use this online calculator for Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period, enter Wind Speed with r Year Return Period (U_r), Mean Value of Maximum Monthly Wind Speeds (U_m) & Return Period of Wind (T_r) and hit the calculate button. Here is how the Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period calculation can be explained with given input values -> 3.326324 = (32.6-17.5)/(0.78*(ln(12*50)-0.577)).

FAQ

What is Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period?

The Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period formula is defined as a parameter influencing extreme wind speeds by a simple approach using monthly extreme wind speeds may be helpful in conjunction with limited data sets and is represented as σ_m = (U_r-U_m)/(0.78*(ln(12*T_r)-0.577)) or Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577)). wind speed with r year return period is the wind speed in r year of return period, Mean Value of Maximum Monthly Wind Speeds & Return Period of wind is an average time or an estimated average time between events such as winds.

How to calculate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period?

The Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period formula is defined as a parameter influencing extreme wind speeds by a simple approach using monthly extreme wind speeds may be helpful in conjunction with limited data sets is calculated using Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577)). To calculate Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period, you need Wind Speed with r Year Return Period (U_r), Mean Value of Maximum Monthly Wind Speeds (U_m) & Return Period of Wind (T_r). With our tool, you need to enter the respective value for Wind Speed with r Year Return Period, Mean Value of Maximum Monthly Wind Speeds & Return Period of Wind 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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