28.4.3.3 - Numerical Analysis
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Practice Questions
Test your understanding with targeted questions
What is a reliability index?
💡 Hint: Think about safety ratings and how they gauge structural performance.
Name one method for evaluating reliability indices.
💡 Hint: It involves running random scenarios to see potential outcomes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary purpose of the reliability index?
💡 Hint: Consider what the term 'reliability' implies in terms of safety.
True or False: Monte Carlo simulations require an analytic expression for the performance function.
💡 Hint: Think about the flexibility of simulation methods.
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Challenge Problems
Push your limits with advanced challenges
A bridge has a mean capacity of 200 tons and a standard deviation of 30 tons. If the mean demand is 190 tons with a standard deviation of 20 tons, determine the reliability index using Taylor's series.
💡 Hint: Remember to calculate the variances using the provided standard deviations.
In a Monte Carlo simulation of a support beam with random variables related to its materials and loads, how would you assess the failure probability after 1,000 trials showing 50 failures?
💡 Hint: Think of how the ratio of failures to total scenarios represents the risk.
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