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Wind Hazard Risk Assessment and Management for Structures

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Chapter 2. Structural Components <strong>and</strong> <strong>Wind</strong> Directionality 18<br />

determined by a professional team in the Florida Commission on Hurricane Loss Projection<br />

Methodology. For example, the statistical measures (lower limit, mode <strong>and</strong> upper limit) of<br />

Vt, ∆P <strong>and</strong> Rmax <strong>for</strong> a category 5 hurricane are (4.5, 6.75, 9) (85, 95, 105) <strong>and</strong> (8, 20, 40),<br />

respectively.<br />

Table 2.1: Probability distribution of tropical cyclone parameters.<br />

Parameter Symbol Unit Category 1 Category 3 Category 5<br />

Translational velocity Vt m/s<br />

Central pressure difference ∆P mB<br />

Radius of maximum wind Rmax km<br />

2.2.3 Tropical Cyclone Track<br />

a = 4.5<br />

b = 6.75<br />

c = 9<br />

a = 15<br />

b = 22.5<br />

c = 30<br />

a = 20<br />

b = 35<br />

c = 64<br />

a = 4.5<br />

b = 6.75<br />

c = 9<br />

a = 45<br />

b = 57.5<br />

c = 60<br />

a = 13<br />

b = 32<br />

c = 64<br />

a = 4.5<br />

b = 6.75<br />

c = 9<br />

a = 85<br />

b = 95<br />

c = 105<br />

a = 8<br />

b = 20<br />

c = 40<br />

Two simplifying assumptions are made in modeling the tropical cyclone track. First, <strong>for</strong><br />

the purpose of estimating the wind damage to an individual structure, it is unnecessary<br />

to track the tropical cyclone from genesis to dissipation. We are only interested in the<br />

time period when the wind speed is above a certain threshold (below which damage is<br />

highly unlikely). It is assumed that the tropical cyclone track remains straight during this<br />

relatively short time period. Second, we are interested in the wind angle relative to the<br />

structure’s orientation, not the absolute wind angle with respect to the cardinal directions;<br />

there<strong>for</strong>e the absolute translational direction of the tropical cyclone does not matter.<br />

Based on these assumptions, the location of the tropical cyclone track can be fully<br />

defined by the closest distance between the track <strong>and</strong> the structure, denoted herein by s. A<br />

plus or minus sign is assigned to the quantity s to indicate whether the structure is on the

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