GATE CE 2015 Set 2 — Question 44
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Structural Engineering → RC Fundamentals & Beams → Limit State Method
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Question
According to the concept of Limit State Design as per IS 456: 2000, the probability of failure of a structure is ___________.
Correct answer
0.09 to 0.1
Solution
In Limit State Design, the probability of failure is related to the reliability index (). For a normal distribution, the probability of failure . For typical structural designs according to IS 456, the target reliability index is such that the probability of failure is approximately to for serviceability and around for ultimate limit states. However, a common theoretical value cited in competitive exams for the combined probability of load exceeding design load and strength being less than design strength is around 0.097 (approx 0.1).
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