A structure with a design life of 50 year is planned for a site where high-intensity earthquakes may occur with a return period of 100 year. The structure is designed to have a 0.99 probability of not suffering damage within its design life. Damage effects between earthquakes are statistically independent. a. If the occurrence of high-intensity earthquakes at the site is modeled by a Bernoulli sequence, what is the probability of damage to the structure under a single earthquake?

A structure with a design life of 50 year is planned for a site where high-intensity earthquakes may occur with a return period of 100 year. The structure is designed to have a 0.99 probability of not suffering damage within its design life. Damage effects between earthquakes are statistically independent. a. If the occurrence of high-intensity earthquakes at the site is modeled by a Bernoulli sequence, what is the probability of damage to the structure under a single earthquake?

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Description: A structure with a design life of 50 year is planned for a site where high-intensityearthquakes may occur with a return period of 100 year. The structure is designed to have a 0.99probability of not suffering damage within its design life. Damage ef

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A structure with a design life of 50 year is planned for a site where high-intensity
earthquakes may occur with a return period of 100 year. The structure is designed to have a 0.99
probability of not suffering damage within its design life. Damage effects between earthquakes are
statistically independent.
a. If the occurrence of high-intensity earthquakes at the site is modeled by a Bernoulli
sequence, what is the probability of damage to the structure under a single earthquake?
b. Using the damage probability to a single earthquake from (a), what would be the probability
of damage to the structure in the next 20 year, assuming that the occurrences of earthquakes
constitute a Poisson process?

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