GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper

Question : 22 of 65

Marks: +1, -0

A culvert is designed for a flood frequency of 100 years and a useful life of 20 years. The risk involved in the design of the culvert (in percentage, up to two decimal places) is_______---

Your Answer:

Validate

Solution:

RISK

=

The probability of a flood to occur at least once in n-successive years.
∴ Risk

=1-q^{n}

=1-(1-P)^{n}

=1-(1- {1}/{T})^{n}=1-(1- {1}/{100})^{20}

=1-(0.99)^{20}

=0.18209=18.209 \%

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