Reliability using Return Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reliability = (1-(1/Return Period))^Successive Years
Re = (1-(1/Tr))^n
This formula uses 3 Variables
Variables Used
Reliability - Reliability is the probability that a project does not fail its purpose during its design life.
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.
Successive Years - Successive Years following in order.
STEP 1: Convert Input(s) to Base Unit
Return Period: 150 --> No Conversion Required
Successive Years: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Re = (1-(1/Tr))^n --> (1-(1/150))^10
Evaluating ... ...
Re = 0.93529818929244
STEP 3: Convert Result to Output's Unit
0.93529818929244 --> No Conversion Required
FINAL ANSWER
0.93529818929244 0.935298 <-- Reliability
(Calculation completed in 00.020 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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NSS College of Engineering (NSSCE), Palakkad
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Risk, Reliability and Safety Factor Calculators

Equation for Risk given Return Period
​ LaTeX ​ Go Risk = 1-(1-(1/Return Period))^Successive Years
Equation for Risk
​ LaTeX ​ Go Risk = 1-(1-Probability)^Successive Years
Probability given Return Period
​ LaTeX ​ Go Probability = 1/Return Period
Return Period given Probability
​ LaTeX ​ Go Return Period = 1/Probability

Reliability using Return Period Formula

​LaTeX ​Go
Reliability = (1-(1/Return Period))^Successive Years
Re = (1-(1/Tr))^n

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The Log-Pearson Type III distribution is a statistical technique for fitting frequency distribution data to predict the design flood for a river at some site. Once the statistical information is calculated for the river site, a frequency distribution can be constructed.

How to Calculate Reliability using Return Period?

Reliability using Return Period calculator uses Reliability = (1-(1/Return Period))^Successive Years to calculate 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 Re symbol.

How to calculate Reliability using Return Period using this online calculator? To use this online calculator for Reliability using Return Period, enter Return Period (Tr) & Successive Years (n) and hit the calculate button. Here is how the Reliability using Return Period calculation can be explained with given input values -> 0.935298 = (1-(1/150))^10.

FAQ

What is Reliability using Return Period?
The Reliability using Return Period is defined as the probability that a project does not fail its purpose during its design life and is represented as Re = (1-(1/Tr))^n or Reliability = (1-(1/Return Period))^Successive Years. 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 & Successive Years following in order.
How to calculate Reliability using Return Period?
The Reliability using Return Period is defined as the probability that a project does not fail its purpose during its design life is calculated using Reliability = (1-(1/Return Period))^Successive Years. To calculate Reliability using Return Period, you need Return Period (Tr) & Successive Years (n). With our tool, you need to enter the respective value for Return Period & Successive Years 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 Reliability?
In this formula, Reliability uses Return Period & Successive Years. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Reliability = 1-Risk
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