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

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f<br />

f<br />

y<br />

y<br />

( T )<br />

(20)<br />

= 1.0<br />

0 < T < 215 °C 3.3a<br />

905 − T<br />

= 215 < T < 905 °C 3.3b<br />

690<br />

The ECCS recommended variation of yield stress with temperature follows the<br />

formulas given below in equation 3.4 a-b:<br />

f<br />

f<br />

y<br />

f<br />

f<br />

y<br />

( T)<br />

T<br />

= 1.0 +<br />

0 < T < 600 °C 3.4a<br />

(20)<br />

y<br />

( T )<br />

= 108<br />

(20)<br />

y<br />

767 ln( T )<br />

1750<br />

( 1−<br />

T )<br />

1000<br />

T − 440<br />

600 < T < 1000 °C 3.4b<br />

The Eurocode again uses values in a table to show the variation of the yield stress<br />

with temperature. The difference between that given by NZS 3404 <strong>and</strong> the<br />

Eurocode are small <strong>and</strong> beyond the scope of this project to determine which, if<br />

either, is most accurate. Figure 3.2 shows the variation of the proportion of yield<br />

stress with temperature.<br />

1.2<br />

Yield Stress ratio<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

ECCS<br />

Eurocode 3<br />

NZS 3404<br />

0<br />

0 200 400 600 800 1000 1200<br />

Temperature ( o C)<br />

NZS 3404 Eurocode ECCS<br />

Figure 3.2: Variation of the yield stress of steel with temperature as given by various sources<br />

The New Zeal<strong>and</strong> Steel Code equations tend towards zero at a lower temperature<br />

than the other equations in Figure 3.2, for the proportion of strength remaining in<br />

steel at elevated temperatures. The ECCS equations propose a more severe loss of<br />

strength of steel than those recommended by CTICM, but also introduce a factor to<br />

38

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