Civil Engineering Reference
In-Depth Information
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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