app9_wind_reliab - Application Example 9 (Independent...

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Application Example 9 (Independent Random Variables) RELIABILITY OF A BUILDING UNDER EXTREME WIND LOADS - CHOOSING THE DESIGN WIND SPEED Consider the problem of designing a tall building for a certain level of reliability against wind loads. The building has a planned life of N years. Let V i be the maximum wind speed in year i at the site of the building (for simplicity we ignore wind direction). Although the values of wind speed at closely spaced times are probabilistically dependent random variables, yearly maximum values may be considered independent. Moreover, the distribution of V i is the same for all years i. Therefore, the variables V 1 , . .., V N may be considered independent and identically distributed (iid), with some common cumulative distribution F V (v). Empirical data indicate that, at most locations, the distribution F V (v) is either Extreme Type I or Extreme Type II. The latter has the form ( 1 ) F V (v) = e (v/u) k where u and k are positive parameters. In Boston, plausible values of u and k are u = 49.4 mph and k = 6.5. Therefore, for Boston F V = e (v/49.4) 6.5 ( 2 ) where V is in mph. Consider now the problem of choosing the design wind speed v* for a building in
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This note was uploaded on 02/27/2008 for the course PTE 461 taught by Professor Donhill during the Fall '07 term at USC.

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app9_wind_reliab - Application Example 9 (Independent...

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