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

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5.4.1 Steel Beams with Box Protection:<br />

With box protection, the insulation is not in contact with the steel section at all<br />

points on the perimeter. This means that radiation <strong>and</strong> convection from the inner<br />

or unexposed side of the insulation board are components of the heat transfer to the<br />

steel beam, as well as conduction from the areas of the board in direct contact with<br />

the beam.<br />

The board insulation qualifies as heavy insulation due to equation 2.4<br />

ρ c A > 2ρ<br />

c A<br />

s<br />

s<br />

s<br />

i<br />

i<br />

i<br />

The values for this case give the following calculation for a 530 UB82.0 beam:<br />

The height <strong>and</strong> width of the beam are 528 <strong>and</strong> 209 mm respectively.<br />

7850*600*10500 > 2*600*1700*(20*(2*{528+209}))<br />

4.95 x 10 10 > 6.01 x 10 10<br />

Since the equation is not satisfied it follows that the insulation is heavy <strong>and</strong> the<br />

simplification of the spreadsheet formula may not be made. The results from<br />

simulations in SAFIR <strong>and</strong> from the spreadsheet method are shown in Figure 5.8 a-<br />

c.<br />

The results from the spreadsheet method are consistently higher than the results<br />

given from the SAFIR programme, however they follow the same general rate of<br />

increase. The larger difference between the two curves than that observed with the<br />

spray on heavy protection is due to the assumptions made in the spreadsheet<br />

regarding one dimensional heat transfer by conduction. With box protection there<br />

are other transfer modes present <strong>and</strong> allowed for by SAFIR but not accounted for<br />

with the spreadsheet method.<br />

SAFIR takes account of the cold surface convective coefficient, which is assumed<br />

to be 9 W/m 2 K. This is the convection coefficient from the cool surface of the<br />

insulation. Radiation from the cold surface of the insulation is also accounted for<br />

by SAFIR, but not the spreadsheet method. A relative emissivity of 0.5 is used in<br />

the SAFIR programmes <strong>and</strong> it is assumed that this value is used for the radiation<br />

from the internal surface of the insulation to the steel.<br />

100

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