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

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M<strong>and</strong>olite by Firepro Safety Ltd<br />

Specific heat, c i = 1100 J/kg K<br />

Thermal conductivity, k i = 0.1 W/m K<br />

Density, ρ i = 362 kg/m 3<br />

Thickness, d i = 0.02 m<br />

5.3.1 Lightly Protected Beams with Four Sided Exposure:<br />

There is a simplified version of the spreadsheet method for steel members with<br />

light insulation. This is covered in Section 2.1.3, <strong>and</strong> involves neglecting the<br />

insulate heat capacity term in the original formula.<br />

In this section, the results from an analysis with SAFIR are compared with the<br />

results from calculations by the spreadsheet method, both the full equation <strong>and</strong> the<br />

simplified version. The time temperature curves of these are then compared with<br />

the ECCS, (1985) equations for protected steel beams with light insulation.<br />

For simplification of distinguishing between the results from the two spreadsheet<br />

analyses, the following notation is used:<br />

Spreadsheet 1 – The temperature rise of the member has been calculated with the<br />

full equation, accounting for the effects of the heat capacity of the insulation.<br />

Spreadsheet 2 – The temperature rise of the member has been calculated with the<br />

simplified equation, neglecting the effects of the heat capacity of the insulation.<br />

The insulation is termed light due to its compliance with equation 2.4:<br />

ρ c A > 2ρ<br />

c A<br />

s<br />

s<br />

s<br />

i<br />

i<br />

i<br />

Substituting the appropriate values for each case, <strong>and</strong> using A i as the perimeter of<br />

the steel multiplied by the thickness of the insulation (20 mm)<br />

530 UB 82.0 beam<br />

H p /A = 178 m -1 , A s = 10500 mm 2 , H p = 1869 mm<br />

7850*600*10500 >2*300*1100*(1869*20)<br />

4.95 x 10 10 > 2.47 x 10 10<br />

92

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