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A History of Research and a Review of Recent Developments

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Table 4.1<br />

Loading/time relationships 75<br />

the faces. Drag coefficients for bodies in the subsonic flow range have been<br />

given by Hoerner [4.3] who lists the values shown in Table 4.1 for C d for some<br />

simple shapes (see also Baker et al. [4.4]).<br />

Values <strong>of</strong> C d for many other shapes, including framed structures such as<br />

masts <strong>and</strong> towers are given in books on the effect <strong>of</strong> wind on structures.<br />

Glasstone <strong>and</strong> Dolan [4.5] gave procedures for deriving air blast loading<br />

as a function <strong>of</strong> time for partially open box structures, framed structures <strong>and</strong><br />

cylindrical <strong>and</strong> arched structures, in addition to the simple box structure<br />

considered above. They define a partially open rectangular box structure as<br />

one in which the front <strong>and</strong> back walls have about 30% by area <strong>of</strong> openings or<br />

windows, <strong>and</strong> have no interior partitions that might influence blast wave<br />

behaviour. The average loading on the front face is influenced by the fact that<br />

the value <strong>of</strong> t c is now 3s 1 /ū, where s 1 is the average distance from the centre <strong>of</strong><br />

a front face wall section to an edge <strong>of</strong> wall at an opening. The internal pressure<br />

begins to rise at zero time because the blast wave enters the openings, eventually<br />

reaching the blast wave overpressure. The dynamic pressures are assumed to<br />

be negligible (i.e q=0) on the interior. The average loading on the sides <strong>and</strong><br />

top are similar to those for a closed box, but the inside pressures take a time <strong>of</strong><br />

2L/ū to reach the blast wave value. For much <strong>of</strong> the decay period the internal<br />

pressure is greater than the external pressure.<br />

The outside pressures on the back face are similar to those for a closed<br />

structure, except that s is replaced by s 1 in the analysis. The inside pressure<br />

reaches a similar value to that <strong>of</strong> the blast pressure, instantaneously, at a time<br />

L/ū, <strong>and</strong> then decays. The dynamic pressure is reckoned to be negligible.<br />

When a blast wave meets a cylindrical structure there is a very complex<br />

interaction with the curved surface, but the loading increases from zero to a<br />

maximum when the blast front has traversed one radius; this occurs at a time<br />

D/2ū (where D is the cylinder diameter). It is sometimes assumed that the

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