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

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

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To determine the performance of a steel member, analysis can be made of a single<br />

member, or of the structure as a whole, or more complex member arrangement<br />

with the use of a finite element computer package. This section details the design<br />

method of evaluating single members according to Eurocode 3. This analysis<br />

method may be used for single, simply supported members exposed to elevated<br />

temperatures.<br />

General:<br />

As stated earlier for global analysis, the load bearing function of a steel member<br />

shall also be assumed to be adequate if:<br />

E<br />

fi, d<br />

≤ R<br />

fi,<br />

d , t<br />

The design resistance<br />

R<br />

fi d , t<br />

,<br />

at time t shall be determined for the temperature<br />

distribution in the cross section by modifying the design resistance for normal<br />

temperature design to take account of the mechanical properties of steel at elevated<br />

temperatures. The design force may be axial force, bending moment or shear force<br />

either separately or in combination.<br />

Tension members:<br />

For tension members with uniform temperature distribution across the cross<br />

section, the design resistance N f is given by:<br />

N<br />

f<br />

Af<br />

yk<br />

y,<br />

T<br />

= 7.4<br />

where A is the area of the cross section, f y is the yield strength at time t = 0, <strong>and</strong> k y,t<br />

is the reduction factor for yield strength at temperature, T.<br />

If there is a non-uniform temperature distribution, the design resistance N f may be<br />

determined from:<br />

N<br />

f<br />

<br />

i =1, n<br />

Ai<br />

k<br />

y,<br />

T , i<br />

= f<br />

7.5<br />

y<br />

Where A i is the elemental area of the cross section, k y,T,i is the reduction factor for<br />

yield strength at temperature T of the element.<br />

133

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