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

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the test. This formula has a limit for the size of the steel beams, based on its<br />

Section Factor, with the H p /A value between 15 <strong>and</strong> 275 m -1 .<br />

ECCS, (1985) recommend using:<br />

0.6<br />

<br />

t = 0.54( T − 50)<br />

A<br />

l<br />

4.2<br />

H<br />

p <br />

ECCS limits this formula to the steel temperature range of 400 °C <strong>and</strong> 600 °C.<br />

The time when these temperatures may occur are limited by the time period of<br />

between 10 <strong>and</strong> 80 minutes, <strong>and</strong> the formula is valid for members with a section<br />

factor, H p /A, value of between 10 <strong>and</strong> 300 m -1 .The lightest beam used in this<br />

report, 180 UB 16.1 has a section factor, which is out of the recommended size<br />

range for these equations.<br />

Figure 4.5 a-c show the accuracy of the formulas provided in NZS 3404 <strong>and</strong> AS<br />

4100; <strong>and</strong> recommended by the ECCS for four sided exposure to unprotected steel<br />

beams. The range for both has been extended beyond that which is recommended<br />

by the committees formulating the formulas, but as can be seen the lines generally<br />

fit within the same accuracy of the recommended range for a much larger<br />

temperature spread <strong>and</strong> longer time period than those suggested. The time<br />

temperature curve to which these equations are being compared to is calculated<br />

using the spreadsheet method, which is considered to be an accurate account of the<br />

true behaviour of a steel member in a st<strong>and</strong>ard ISO 834 fire test.<br />

From Figure 4.5 a-c, the formula range for the ECCS formula, Equation 4.2, can be<br />

extended to at least 700 °C as an upper limit. This could even be extended to 800<br />

°C as this temperature is within the same accuracy from the spreadsheet curve as<br />

temperatures that are in the recommended range. Below 400 °C, linear<br />

interpolation method could be recommended as this will gives conservative or<br />

shorter values for the times that a temperature is reached. The temperature range<br />

suggested by for the New Zeal<strong>and</strong> code equations appears valid, with an upper<br />

temperature limit of 850 °C, <strong>and</strong> linear interpolation for temperatures below 500<br />

°C.<br />

60

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