Civil Engineering Reference
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300
20°C
250
200°C
300°C
400°C
500°C
200
150
600°C
100
700°C
50
800°C
0.5
1.0
1.5
2.0
0
Strain (%)
FIGURE 7.7 Stress-strain relationship at different temperatures.
Figure 7.8 shows that steel softens progressively from100
°
C to 200
°
C and above.
Only 23% of ambient-temperature strength remains at 700
°
C. At 800
°
C, strength
reduced to 11% and at 900
C.
Degradation of steel strength and stiffness is presented in Figure 7.8 .
Strength and stiffness reductions are very similar for S235, S275 and S355
structural steels and hot-rolled reinforcing bars.
°
C to 6%. In general, steel melts at about 1500
°
7.7.1 Degree of Utilization
Based on European code EC3 for steel, the degree of utilization can be deter-
mined from the following equation:
E f : d
R f : d : 0
μ 0 =
(7.23)
where E fi.d is the design loading of a member in fire and R fi.d.0 is as a proportion
of its resistance at ambient temperature but including the material safety factor
for the fire limit state.
A degree of utilization can be used if there is no chance of overall or lateral-
torsional buckling,
η f calculated as proportion of design loading at ambient
temperature
γ M : f
γ M1
μ 0 = η f
(7.24)
where
η f is the reduction factor for the design load level for the fire situation.
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