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Reliability using Return Period Formula

GoReliability given Risk Formula

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Reliability is the probability that a project does not fail its purpose during its design life. Check FAQs

R e = {(1 - (\frac{1}{T r}))}^{n}

R_e - Reliability?T_r - Return Period?n - Successive Years?

Reliability using Return Period Example

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Here is how the Reliability using Return Period equation looks like with Values.

Here is how the Reliability using Return Period equation looks like with Units.

Here is how the Reliability using Return Period equation looks like.

0.9353 = {(1 - (\frac{1}{150}))}^{10}

0.9353 = {(1 - (\frac{1}{150}))}^{10}

0.9353 = {(1 - (\frac{1}{150}))}^{10}

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Reliability using Return Period Solution

Follow our step by step solution on how to calculate Reliability using Return Period?

FIRST Step Consider the formula

R e = {(1 - (\frac{1}{T r}))}^{n}

Next Step Substitute values of Variables

∴

R e = {(1 - (\frac{1}{150}))}^{10}

Next Step Prepare to Evaluate

∴

R e = {(1 - (\frac{1}{150}))}^{10}

Next Step Evaluate

∴

R e = 0.93529818929244

LAST Step Rounding Answer

∴

R e = 0.9353

Reliability using Return Period Formula Elements

Variables

Reliability

Reliability is the probability that a project does not fail its purpose during its design life.

Symbol: R_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reliability

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

Successive Years

Successive Years following in order.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Successive Years

Other Formulas to find Reliability

Go Reliability given Risk

R e = 1 - R

Other formulas in Risk, Reliability and Safety Factor category

Go Equation for Risk

R = 1 - {(1 - p)}^{n}

Go Equation for Risk given Return Period

R = 1 - {(1 - (\frac{1}{T r}))}^{n}

Go Probability given Return Period

p = \frac{1}{T r}

Go Return Period given Probability

T r = \frac{1}{p}

How to Evaluate Reliability using Return Period?

Reliability using Return Period evaluator uses Reliability = (1-(1/Return Period))^Successive Years to evaluate the Reliability, The Reliability using Return Period is defined as the probability that a project does not fail its purpose during its design life. Reliability is denoted by R_e symbol.

How to evaluate Reliability using Return Period using this online evaluator? To use this online evaluator for Reliability using Return Period, enter Return Period (T_r) & Successive Years (n) and hit the calculate button.

FAQs on Reliability using Return Period

What is the formula to find Reliability using Return Period?

The formula of Reliability using Return Period is expressed as Reliability = (1-(1/Return Period))^Successive Years. Here is an example- 0.935298 = (1-(1/150))^10.

How to calculate Reliability using Return Period?

With Return Period (T_r) & Successive Years (n) we can find Reliability using Return Period using the formula - Reliability = (1-(1/Return Period))^Successive Years.

What are the other ways to Calculate Reliability?

Here are the different ways to Calculate Reliability-

Reliability=1-Risk

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Reliability using Return Period Formula

​GoReliability given Risk Formula

Reliability using Return Period Example

Reliability using Return Period Solution

Reliability using Return Period Formula Elements

Other Formulas to find Reliability

Other formulas in Risk, Reliability and Safety Factor category

How to Evaluate Reliability using Return Period?

FAQs on Reliability using Return Period

Variable Name

GoReliability given Risk Formula