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

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4 CALCULATION <strong>OF</strong> <strong>STEEL</strong> TEMPERATURES FOR<br />

UNPROTECTED <strong>STEEL</strong> – ISO <strong>FIRE</strong>:<br />

4.1 INTRODUCTION:<br />

The temperature rise of unprotected steel can be modelled using a variety of<br />

computer programmes <strong>and</strong> calculation methods. In the New Zeal<strong>and</strong> code,<br />

formulas provide an estimate of the time until a limiting temperature is reached,<br />

which is sufficient for situations where a designer is confirming the structural<br />

stability of a steel member. These formulas however are valid for a limited time<br />

period, temperature range <strong>and</strong> for a limited range of steel member sizes. They also<br />

only provide an estimate of the time at which a member will reach a particular<br />

temperature, based on test results from experiments performed with unprotected<br />

beams exposed to the st<strong>and</strong>ard fire.<br />

The spreadsheet method is a simple calculation method which estimates the<br />

temperature in a one dimensional heat flow or ‘lumped mass’ approach. It was<br />

developed using basic heat transfer principles <strong>and</strong> the amount of temperature rise<br />

of the steel is based on the energy being transmitted to the member. The major<br />

variable to influence the rate of temperature rise of unprotected steel beams when<br />

using the spreadsheet method is the H p /A value, which is a ratio of exposed<br />

perimeter to cross sectional area, <strong>and</strong> the inverse of the average or effective<br />

thickness. This is discussed further in Section 1.6.3.<br />

In this section, the computer programmes SAFIR, Firecalc, <strong>and</strong> <strong>FIRE</strong>S-T2 are<br />

compared, to examine the repetitivity of these finite element software programmes,<br />

<strong>and</strong> to determine whether the most user friendly, SAFIR, could be used in place of<br />

the others with the same accuracy of results. The results from SAFIR are also<br />

compared with the results from the spreadsheet method to examine the accuracy of<br />

the spreadsheet method. It is also investigated whether the spreadsheet method can<br />

be used with the same confidence as with the finite element computer programmes<br />

for simple fire related steel member problems such as the average temperature of<br />

the steel after a given time.<br />

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