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

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For all three sizes of beam, the spreadsheet method of calculating the temperature<br />

of an unprotected beam over time correlates well to the results given from the<br />

SAFIR programme. The temperatures from the spreadsheet method are lower than<br />

the average temperatures over the beam as exported from the SAFIR programme<br />

for approximately the first 10 minutes. After this time the spreadsheet results are<br />

slightly higher than the SAFIR results until they merge to be within 2 °C of each<br />

other. At temperatures of over 800 °C, this is an error of within 0.25 %.<br />

Differences between the spreadsheet <strong>and</strong> SAFIR programme can be accounted for<br />

by considering the different methods of evaluation of temperature. The<br />

spreadsheet uses constant values for thermal conductivity, density <strong>and</strong> specific heat<br />

for steel <strong>and</strong> protection when used. The SAFIR programme uses more accurate<br />

graphs of these properties varying with temperature. The spreadsheet method does<br />

not consider variances in temperature over the cross section but assumes a constant<br />

temperature instead.<br />

4.2.3 Comparison with NZS 3404 <strong>and</strong> ECCS formulas for four sided<br />

exposure:<br />

The New Zeal<strong>and</strong> <strong>and</strong> Australian codes contain formulas to give an estimate of the<br />

temperature of four <strong>and</strong> three sided fire exposed steel beams. These formulas are<br />

based on results from experimental st<strong>and</strong>ard fire tests performed by the British<br />

Steel Institute. The ECCS recommendations are also formulated empirically <strong>and</strong><br />

have been compared with experimental data in ECCS, (1985).<br />

The formulas existing in the codes are:<br />

t = −4 .7 + 0.0263T<br />

A<br />

l<br />

+ 1. 67Tl<br />

4.1<br />

H<br />

from NZS 3404 <strong>and</strong> AS 4100<br />

p<br />

This formula is valid in the temperature range of 500 °C to 850 °C by the New<br />

Zeal<strong>and</strong> code, but the Australian code has an upper temperature limit of the steel as<br />

750 °C. Below 500 °C, both codes allow linear interpolation between the time<br />

that the steel becomes 500 °C <strong>and</strong> a temperature of the steel of 20 °C at the start of<br />

59

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