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PEER 2007 Seismic Design Competition Rules.pdf

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Structure Repair Cost /<br />

Initial Structural Cost<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

0 0.02 0.04 0.06 0.08<br />

Peak Drift Ratio<br />

max |(Δ Roof<br />

- Δ Floor<br />

)/H|<br />

Figure 5-1: Loss function relating structural replacement cost to peak drift ratio.<br />

5.3.b Loss Caused by Equipment Damage (EDP2)<br />

The structure will house equipment with a total value of<br />

$20,000,000 that is sensitive to structural acceleration. Damage to<br />

this equipment will be related to the peak of the absolute value of<br />

roof acceleration using a loss function that is a cumulative normal<br />

probability density function with mean peak roof acceleration of<br />

1.5 g, and standard deviation of 0.5 g. The loss function is plotted<br />

in Figure 5-2.<br />

Equipment Cost ( x$10 6 )<br />

20<br />

16<br />

12<br />

8<br />

4<br />

0<br />

0 1 2 3<br />

max |Roof Acceleration| (g)<br />

Figure 5-2: Loss function relating equipment cost to peak roof acceleration.<br />

Undergraduate <strong>Seismic</strong> <strong>Design</strong> <strong>Competition</strong> 24

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