Pf

where O is the cumulative distribution function of the standardised normal distribution. The relation between Pf and ft is indicated in Table 4.

Table 4. Relation between ß and Pf.

Pf

10

10-2

10-3

10

10-5

10-6

10

ß

1,28

2,32

3,09

3,72

4,27

4,75

5,20

Table C2 of EN 1990 recommends for the ultimate limit state of buildings over a fifty year design working life a target value of reliability index J3t = 3,8. If one year period is considered in reliability verification, then $ = 4,7. Both the equivalent reliability measures, the failure probability Pf and the reliability index are used in this study.

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