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FIRE DESIGN OF STEEL MEMBERS - Civil and Natural Resources ...

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t<br />

d<br />

0.00013et<br />

=<br />

A <br />

<br />

v<br />

H<br />

v<br />

<br />

A<br />

t<br />

<br />

where e t is the fuel load in the compartment (MJ/m 2 total surface area)<br />

2.14<br />

After the period of heating, t d , has been completed the fire cools down linearly.<br />

Buchanan (1999), modified the original Eurocode method of decay because there<br />

appeared to be confusion between fictitious time <strong>and</strong> real time, <strong>and</strong> the Eurocode<br />

method gave excessive cooling rates with larger openings. Wickstrom suggested that<br />

the decay rates apply to real time, with cooling magnitudes of 625 °C for fires of<br />

duration of less than half an hour, decreasing to 250 °C for fires of greater than two<br />

hours duration, (Buchanan 1999)<br />

For the purpose of this project the decay rate used will be as suggested by Buchanan:<br />

dT F <br />

kρc<br />

v<br />

= 625<br />

<br />

<br />

p<br />

dt 0.04 <br />

1160<br />

<br />

<br />

<br />

<br />

<br />

This is also the form of the decay rate equation that is used in the pre-processor<br />

developed by John Mason used in later sections of this report.<br />

2.15<br />

As seen in equations 2.7 a-b, the growth rate of the Eurocode parametric fire is<br />

independent of the fuel load in the compartment, which intuitively appears incorrect<br />

that the fuel load does not affect the temperature of the fire. Since the Eurocode<br />

Parametric fires are ventilation controlled, however, the fuel load does not affect the<br />

temperature rise, as the temperature is more dependent on the ventilation available to<br />

the fire. In the early stages of the fire, however, when the fire is more likely to be fuel<br />

controlled, the amount of fuel would affect the fire temperatures. Since for<br />

establishing the fire resistance of structural members the fire has a significant duration,<br />

this assumption of ventilation controlled fires is not inappropriate.<br />

Since the Eurocode fire is a function of three variables, namely ventilation factor, fuel<br />

load <strong>and</strong> wall lining properties, there are a large number of possible fires to be formed<br />

when different values are used for each variable. To reduce the number of fires<br />

studied here, a st<strong>and</strong>ard case has been chosen, from which one variable is changed at a<br />

33

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