28.4.3.2 - Monte Carlo Simulation
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Practice Questions
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What is Monte Carlo Simulation?
💡 Hint: Think about randomness and evaluation.
What is a performance function?
💡 Hint: Consider how a structure withstands forces.
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Interactive Quizzes
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What is the main purpose of Monte Carlo Simulation?
💡 Hint: Think about its applications in engineering.
True or False: The reliability index is derived from the performance function's mean and standard deviation.
💡 Hint: Consider the definitions of both terms.
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Challenge Problems
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You have a structural beam with a mean strength of 100 kN and a standard deviation of 10 kN. Apply Monte Carlo Simulation with 5000 iterations to estimate the probability of failure under various loading conditions with a mean load of 90 kN and a standard deviation of 15 kN.
💡 Hint: Use the normal distribution to generate load and strength values.
Evaluate the impact of increasing the standard deviation of the load on the reliability index of the structure. Perform a Monte Carlo Simulation with varying standard deviations and discuss the outcomes.
💡 Hint: Consider how uncertainty influences the structural integrity.
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