# What is the risk of this hydrologic design?

A bridge has an expected life of 25 years and is designed for a flood magnitude of return period 100 years. What is the risk of this hydrologic design

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## A bridge has an expected life of 25 years and is designed for a flood magnitude of return period 100 years. What is the risk of this hydrologic design?

### Detailed Solution for Civil Engineering Exam

Given data

Design life (n) = 25 years

Return Period (T) = 100 years

Risk = 1 - qn

= 1 - (1 - p)n = 1 - ( 1 - (1/T) )n

Risk = 1 - (1-(1/100))25

Risk = 1 - (99/100)25

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