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Unformatted text preview: distances will have negligible effect at the site. o / R r r d , ) d r ( r = ) r ( f 2 1-2 2-2 A Sketch the function. A Site B r o r o d l /2 l /2 Fault 2 / A 2 / A Figure 4.2 1 m Problem 3 A dam is to be designed to safely retain the water in a reservoir. Let H be the maximum water level in the reservoir in a generic year, and F be the associated horizontal force acting on a 1 meter length of the dam. 10 m F H 6 m Figure 4.1 F is related to H as: 2 2 H 5 cH F = = where H is in meters, and F is in kN Suppose that H has uniform distribution between 6 and 10 meters, so that: = otherwise 0, 10 h 6 , 4 1 ) h ( f H (a) Find the CDF of F. (b) Assuming that water levels in different years are independent, plot the distribution of the maximum force in 20 years. (c) What practical conclusions on the design value of the horizontal force can you extract from the result in part (b)?...
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This note was uploaded on 12/04/2011 for the course ESD 1.151 taught by Professor Danieleveneziano during the Spring '05 term at MIT.
- Spring '05