Wind Speed with r-year Return Period Calculator

✖Mean Value of Maximum Monthly Wind Speeds refers to the average of the highest wind speeds recorded each month over a specified period.ⓘ Mean Value of Maximum Monthly Wind Speeds [U_m]			+10% -10%
✖Standard Deviation of Maximum Monthly Wind Speeds refers to the statistical measure that quantifies the amount of variation in the maximum wind speeds recorded each month over a specified period.ⓘ Standard Deviation of Maximum Monthly Wind Speeds [σ_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%

✖wind speed with r year Return Period refers to the need for wind speed return levels corresponding to return periods.ⓘ Wind Speed with r-year Return Period [U_r]

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Wind Speed with r-year Return Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
U_r = U_m+0.78*σ_m*(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

Wind Speed with r Year Return Period - (Measured in Meter per Second) - wind speed with r year Return Period refers to the need for wind speed return levels corresponding to return periods.
Mean Value of Maximum Monthly Wind Speeds - (Measured in Meter per Second) - Mean Value of Maximum Monthly Wind Speeds refers to the average of the highest wind speeds recorded each month over a specified period.
Standard Deviation of Maximum Monthly Wind Speeds - Standard Deviation of Maximum Monthly Wind Speeds refers to the statistical measure that quantifies the amount of variation in the maximum wind speeds recorded each month over a specified period.
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

Mean Value of Maximum Monthly Wind Speeds: 17.5 Meter per Second --> 17.5 Meter per Second No Conversion Required
Standard Deviation of Maximum Monthly Wind Speeds: 3.32 --> No Conversion Required
Return Period of Wind: 50 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_r = U_m+0.78*σ_m*(ln(12*T_r)-0.577) --> 17.5+0.78*3.32*(ln(12*50)-0.577)

Evaluating ... ...

U_r = 32.5712898351477

STEP 3: Convert Result to Output's Unit

32.5712898351477 Meter per Second --> No Conversion Required

FINAL ANSWER

32.5712898351477 ≈ 32.57129 Meter per Second <-- Wind Speed with r Year Return Period

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Return Period and Encounter Probability Calculators

Encounter Probability

LaTeX 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

LaTeX 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

LaTeX Go Time Interval associated with each Data Point = Return Period of Wind*(1-Cumulative Probability)

Return Period given Cumulative Probability

LaTeX Go Return Period of Wind = Time Interval associated with each Data Point/(1-Cumulative Probability)

Wind Speed with r-year Return Period Formula

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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 Cumulative Probability?

A Cumulative Probability refers to the probability that the value of a random variable falls within a specified range. Frequently, cumulative probabilities refer to the probability that a random variable is less than or equal to a specified value.

How to Calculate Wind Speed with r-year Return Period?

Wind Speed with r-year Return Period calculator uses 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) to calculate the Wind Speed with r Year Return Period, The Wind Speed with r-year Return Period formula is defined based on the assumption that extreme wind speeds by a simple approach using monthly extreme wind speeds may be helpful in conjunction with limited data sets. Wind Speed with r Year Return Period is denoted by U_r symbol.

How to calculate Wind Speed with r-year Return Period using this online calculator? To use this online calculator for Wind Speed with r-year Return Period, enter Mean Value of Maximum Monthly Wind Speeds (U_m), Standard Deviation of Maximum Monthly Wind Speeds (σ_m) & Return Period of Wind (T_r) and hit the calculate button. Here is how the Wind Speed with r-year Return Period calculation can be explained with given input values -> 32.57129 = 17.5+0.78*3.32*(ln(12*50)-0.577).

FAQ

What is Wind Speed with r-year Return Period?

The Wind Speed with r-year Return Period formula is defined based on the assumption that 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 U_r = U_m+0.78*σ_m*(ln(12*T_r)-0.577) or 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). Mean Value of Maximum Monthly Wind Speeds refers to the average of the highest wind speeds recorded each month over a specified period, Standard Deviation of Maximum Monthly Wind Speeds refers to the statistical measure that quantifies the amount of variation in the maximum wind speeds recorded each month over a specified period & Return Period of Wind is an average time or an estimated average time between events such as winds.

How to calculate Wind Speed with r-year Return Period?

The Wind Speed with r-year Return Period formula is defined based on the assumption that extreme wind speeds by a simple approach using monthly extreme wind speeds may be helpful in conjunction with limited data sets is calculated using 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). To calculate Wind Speed with r-year Return Period, you need Mean Value of Maximum Monthly Wind Speeds (U_m), Standard Deviation of Maximum Monthly Wind Speeds (σ_m) & Return Period of Wind (T_r). With our tool, you need to enter the respective value for Mean Value of Maximum Monthly Wind Speeds, Standard Deviation 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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