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Building Design and Construction Handbook - Merritt - Ventech!

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WALL, FLOOR, AND CEILING SYSTEMS 11.149<br />

but there is a significant noise level above which even loud (shouting) speech is<br />

scarcely intelligible. Such a level, if long continued, can prove damaging to the<br />

hearing mechanism. At still higher levels, pain can be experienced, <strong>and</strong> immediate<br />

physical damage (often irreversible) may occur.<br />

Complete silence (if such a thing could occur) would be most unpleasant. Humans<br />

would quickly become disoriented <strong>and</strong> distressed. Somewhere between silence<br />

<strong>and</strong> the uncomfortably loud, however, is a wide range that humans find acceptable.<br />

11.78 MEASUREMENT OF SOUND<br />

Generally, absolute numbers obtained from measurements have little significance<br />

in acoustics. Instead, measurements are almost always compared with some base<br />

or reference, <strong>and</strong> they are usually quoted as levels above or below that reference<br />

level. The levels are usually ratios of observed values to the reference level, such<br />

as 2:1, 1:2, 1:10, because rarely are simple, linear relationships found between<br />

stimuli <strong>and</strong> effects in humans.<br />

Zero level of sound pressure is not a true physical zero; that is, the absence of<br />

any sound pressure at all. Rather, zero level is something of an average threshold<br />

of human hearing, of sound at about 1000 Hz. The physical pressure associated<br />

with this threshold level is very small, 0.00002 Pa (N/m 2 ).<br />

Changes in human response tend to occur according to a ratio of the intensity<br />

of the stimuli producing the response. In acoustics, the ratio of 10:1 is called a bel,<br />

<strong>and</strong> one-tenth of a bel, a decibel (dB). Thus, power <strong>and</strong> intensity levels, in dB, are<br />

computed from<br />

quantity measured<br />

Level � 10 log (11.10)<br />

10 reference quantity<br />

Intensity level (IL), dB, for example, represents the ratio of the intensity being<br />

measured to some reference level, <strong>and</strong> is given by<br />

where I � intensity measured, W/cm 2<br />

I o � reference intensity � 10 �16 W/cm 2<br />

I<br />

IL � 10 log (11.11)<br />

10 Io<br />

Since intensity varies as the square of the pressure, intensity level also is given<br />

by<br />

where p � pressure measured, Pa<br />

p o � reference pressure � 0.00002 Pa<br />

2 p p<br />

IL � 10 log10 � 20 log 10<br />

(11.12)<br />

2 p p<br />

o o<br />

Sound pressure level (SPL), dB, to correspond with intensity level, is defined<br />

by

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