28.5. Reliability Analysis

Try these first

1. 1.

   Define the reliability index.

   Hint

   Think about how we quantify safety.

2. 2.

   What does the performance function F = C/D represent?

   Hint

   Consider what happens when demand exceeds capacity.

3. 3.

   What does the reliability index (β) represent?

   • A measure of material strength
   • A measure of structural safety
   • A measure of construction cost

   Hint

   Consider what we specifically measure in terms of structure performance.

4. 4.

   True or False: A performance function indicates how much demand exceeds capacity.

   • True
   • False

   Hint

   Think about what the function represents in analysis.

5. 5.

   A new skyscraper has a calculated capacity of 5000 kN under live loads and a demand model of 4400 kN. Calculate the performance function F and interpret the safety margin.

   Hint

   Utilize the formula and evaluate the margin.

6. 6.

   Calculate the reliability index using a Monte Carlo simulation outcome where mean = 1.5 and standard deviation = 0.3.

   Hint

   Think about the statistical relationship between mean and standard deviation.