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

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15 m -1 < H p /A < 275 m -1 in NZS 3404 <strong>and</strong> AS 4100<br />

To obtain times for temperatures below 500 °C, linear interpolation can be used<br />

with starting temperature of 20 °C.<br />

These formulas were obtained from regression analyses of British temperature data<br />

for unprotected steel. Design temperatures for different fire resistance times for<br />

beams <strong>and</strong> columns are found in the British Steel Code, BS 5950: Part 8: 1990,<br />

which were used as the basis of the regression analysis. The upper temperature<br />

limit has been increased from its original value due to research performed in recent<br />

years, such as by Clifton <strong>and</strong> Forrest, (1996). The Australian code has not revised<br />

the upper temperature limit <strong>and</strong> this remains at 750 °C.<br />

Eurocode 3 does not contain simple empirical formulas such as these, but rather<br />

gives a heat transfer formula to calculate the temperatures in a spreadsheet form.<br />

The formula is in a slightly different form than that stated in Section 2.1.2, but the<br />

same heat transfer principles are applied:<br />

where<br />

H<br />

p<br />

∆ T<br />

A<br />

s t<br />

= h<br />

,<br />

net,<br />

c ρ<br />

h<br />

net , d<br />

s<br />

s<br />

d<br />

∆t<br />

3.10<br />

is the design value of the net heat flux per unit area (W/m 2 ). h <br />

net , d<br />

replaces the variables in the spreadsheet formula <strong>and</strong> can be calculated by<br />

net,<br />

d<br />

t<br />

( T − T )<br />

h = h to give an equation of equivalent to the spreadsheet formula<br />

given in Section 2.1.2.<br />

f<br />

s<br />

This method of estimating temperatures of unprotected steel gives the designer<br />

more freedom to evaluate the temperature time curve throughout the full ISO 834<br />

fire exposure without any limitations to consider. The evaluation method is not<br />

difficult <strong>and</strong> once set up in a spreadsheet form, the results can be found very easily.<br />

3.1.5 Temperature rise of protected steel:<br />

The temperature rise of protected steel as specified in the New Zeal<strong>and</strong> <strong>and</strong><br />

Australian codes is to be based on results of tests on members with the appropriate<br />

protection. To evaluate the performance of a protected member, temperature data<br />

44

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