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The maximum ground acceleration at a distance of R kilometers from an earthquake of Richter magnitude M can be estimated by using the formula
The maximum ground acceleration at a distance of R kilometers from an earthquake of Richter magnitude M can be estimated by using the formula a (cm/sec) = 1230 0.8M (R +25)-2 Let M be a uniform random variable with mean of 6 and a coefficient of variation of 10%. Consider R to be a uniform variable with mean of 25 km and a coefficient of variation of 10%. Generate 10 random numbers for maximum ground acceleration using the following 10 uniform random numbers between 0 and 1. 0.52478, 0.80249, 0.94132, 0.56005, 0.58815, 0.69379, 0.75228, 0.14327, 0.90625, 0.06070 Let M be a uniform random variable with mean of 6 and a coefficient of variation of 10%. Consider R to be a uniform variable with mean of 25 km and a coefficient of variation of 10%. A structure at the site where this maximum ground motion has been estimated. It has ben determined by an engineer that: 1. No damage will occur if the maximum ground acceleration is less than a 2. Moderate damage will occur if the maximum ground acceleration is between a, and a2 3. Major structural damage will occur if the maximum ground acceleration is between a2 and 23. 4. Collapse of the structure will occur if the maximum ground acceleration is greater than a Assume a = 75 cm /sec a2 = 100 cm /sec a3 = 125 cm /sec
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