beta_equation

This function calculates the reliability index value for a given probability of failure (pf).

beta_value = beta_equation(pf)

Input variables

Name	Description	Type
pf	Probability of failure	Float or String

Output variables

Name	Description	Type
beta_value	Beta value	Float

Example 1

Use beta_equation function to calculate the reliability index for a probability of failure of 2.32629e-04.

from parepy_toolbox import beta_equation

pf = 2.32629e-04
beta = beta_equation(pf)
print(f"Reliability index {beta:.2f}")

Output details.

Reliability index 3.50

Incipient instability can be observed around \(\beta = 7.5\), which increases significantly for \(\beta > 8\).