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

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average temperature of the beam, because heat is conducted from the beam <strong>and</strong><br />

absorbed by the concrete. This causes a large variation between the maximum <strong>and</strong><br />

minimum temperatures of the beam as can be seen in Section 4.3.1 <strong>and</strong> in Figure<br />

4.7 <strong>and</strong> Figure 4.8.<br />

4.3.3 Comparison with NZS 3404 <strong>and</strong> ECCS formulas for three sided<br />

exposure:<br />

The New Zeal<strong>and</strong> Steel Code has a different equation for three sided exposure,<br />

from that for four sided exposure as stated in Section 4.2.3. This is in the form<br />

below:<br />

A<br />

t = −5 .2 + 0.0221T<br />

l<br />

+ 3. 40Tl<br />

4.3<br />

H<br />

p<br />

The temperature range <strong>and</strong> limitations on the cross section of the member are the<br />

same as described in Section 4.2.3 for equation 4.1, as stated below:<br />

Equation 4.3 is valid in the temperature range of 500 °C to 850 °C by the New<br />

Zeal<strong>and</strong> code, <strong>and</strong> up to 750 °C for the Australian code. Below 500 °C, linear<br />

interpolation is used between the time that the steel becomes 500 °C <strong>and</strong> a<br />

temperature of the steel of 20 °C at the start of the test. The beams size limitations<br />

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

The ECCS recommendations use the same formula as with four sided exposure,<br />

equation 4.2, but with an altered H p /A value to allow for three sided exposure to<br />

the fire. This formula is:<br />

<br />

t = 0.54( T − 50)<br />

A<br />

l<br />

<br />

H<br />

p <br />

0.6<br />

with temperature limitations of 400 °C to 600 °C, time of between 10 <strong>and</strong> 80<br />

minutes, <strong>and</strong> is valid for beam sizes with a section factor, H p /A, value of between<br />

10 <strong>and</strong> 300 m -1 .<br />

In Figure 4.12 a-c the curves that the two straight-line equations are compared with<br />

are both from SAFIR, namely SAFIR 1 <strong>and</strong> SAFIR 2 as used earlier in Section 4.3.<br />

71

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