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

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LIST <strong>OF</strong> FIGURES:<br />

FIGURE 1.1: VARIATION <strong>OF</strong> THE SPECIFIC HEAT <strong>OF</strong> <strong>STEEL</strong> WITH TEMPERATURE. .....................13<br />

FIGURE 1.2:VARIATION <strong>OF</strong> THERMAL CONDUCTIVITY <strong>OF</strong> <strong>STEEL</strong> WITH TEMPERATURE.............14<br />

FIGURE 1.3: VARIATION <strong>OF</strong> THERMAL EXPANSION <strong>OF</strong> <strong>STEEL</strong> WITH TEMPERATURE..................15<br />

FIGURE 1.4: VARIATIONS <strong>OF</strong> HP/A FOR DIFFERENT METHODS <strong>OF</strong> PROTECTION .......................16<br />

FIGURE 2.1: SPREADSHEET CALCULATION FOR HEAT TRANSFER IN UNPROTECTED <strong>STEEL</strong><br />

<strong>MEMBERS</strong> ..........................................................................................................................20<br />

FIGURE 2.2: COMPARISON BETWEEN THE ECCS FORMULA, EQUATION 2.6, AND THE<br />

SPREADSHEET METHOD FOR HEAVY INSULATION.............................................................24<br />

FIGURE 2.3: COMPARISON BETWEEN THE EC3 FORMULA, EQUATION 2.8, AND THE<br />

SPREADSHEET METHOD.....................................................................................................25<br />

FIGURE 2.4: TIME TEMPERATURE CURVE <strong>OF</strong> THE ISO 834 STANDARD <strong>FIRE</strong> CURVE................30<br />

FIGURE 2.5: EUROCODE <strong>FIRE</strong>S WITH VARYING VENTILATION FACTORS AND FUEL LOADS.......32<br />

FIGURE 3.1: VARIATION <strong>OF</strong> THE MODULUS <strong>OF</strong> ELASTICITY WITH TEMPERATURE ...................37<br />

FIGURE 3.2: VARIATION <strong>OF</strong> THE YIELD STRESS <strong>OF</strong> <strong>STEEL</strong> WITH TEMPERATURE........................38<br />

FIGURE 3.3: VARIATION <strong>OF</strong> YIELD STRESS AND MODULUS <strong>OF</strong> ELASTICITY WITH<br />

TEMPERATURE ..................................................................................................................39<br />

FIGURE 3.4: STRESS STRAIN CURVES WITH VARYING TEMPERATURE.......................................41<br />

FIGURE 3.5: VARIATION <strong>OF</strong> ULTIMATE AND YIELD STRENGTH <strong>OF</strong> HOT ROLLED <strong>STEEL</strong>.............41<br />

FIGURE 4.1: SCHEMATIC GRAPH SHOWING THE COMPARISONS MADE BETWEEN APPROXIMATE<br />

FORMULAS AND TIME TEMPERATURE CURVES .................................................................53<br />

FIGURE 4.2: TIME TEMPERATURE CURVE FROM A SAFIR SIMULATION SHOWING THE<br />

VARIATION <strong>OF</strong> TEMPERATURE FOR FOUR SIDED EXPOSURE..............................................54<br />

FIGURE 4.3: TEMPERATURE CONTOUR LINES SHOWING THE TEMPERATURE PR<strong>OF</strong>ILE OVER THE<br />

CROSS SECTION <strong>OF</strong> THE <strong>STEEL</strong> SECTION............................................................................57<br />

FIGURES 4.4 A-C: COMPARISON BETWEEN THE RESULTS FROM SAFIR AND THE SPREADSHEET<br />

METHOD FOR UNPROTECTED <strong>STEEL</strong> BEAMS WITH FOUR SIDED EXPOSURE ......................58<br />

FIGURE 4.5 A-C: COMPARISON <strong>OF</strong> THE LINEAR EQUATIONS PROVIDED BY NZS 3404 AND ECCS<br />

WITH THE TEMPERATURES OBTAINED FROM THE SPREADSHEET METHOD WITH FOUR<br />

SIDED EXPOSURE TO AN ISO 834 <strong>FIRE</strong>..............................................................................61<br />

FIGURE 4.6: LAYOUT <strong>OF</strong> THREE SIDED EXPOSURE WITH A CONCRETE SLAB.............................64<br />

FIGURE 4.7: MAXIMUM, AVERAGE AND MINIMUM TEMPERATURES FOUND FROM THE SAFIR 1<br />

SIMULATION......................................................................................................................65<br />

FIGURE 4.8: MAXIMUM, AVERAGE AND MINIMUM TEMPERATURES FOUND FROM THE SAFIR 2<br />

SIMULATION......................................................................................................................65<br />

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