Civil Engineering Reference
In-Depth Information
TABLE 7.11
Reduction Factors for Stress-Strain Relationship of Carbon Steel
at Elevated Temperatures
Reduction Factors at Temperature
θ
Relative to the Value of
f
y
or E
a
at 20
C
Reduction Factor
(Relative to f
y
) for
Effective Yield
Strength
k
y,θ
= f
y,θ
/f
y
°
Reduction Factor
(Relative to E
a
) for
the Slope of the
Linear Elastic
Range k
E,
θ
= E
a,
θ
/E
a
Reduction Factor
(Relative to f
y
) for
Proportional Limit
k
p,θ
= f
p,θ
/f
y
Steel
Temperature,
θ
20
°
C
1.0
1.0
1.0
100
°
C
1.0
1.0
1.0
200
°
C
1.0
0.807
0.900
300
°
C
1.0
0.613
0.80
400
°
C
1.0
0.42
0.700
500
°
C
0.780
0.360
0.600
600
°
C
0.470
0.180
0.310
700
°
C
0.230
0.075
0.130
800
°
C
0.110
0.050
0.090
900
°
C
0.06
0.0375
0.0675
1000
°
C
0.040
0.025
0.045
1100
°
C
0.02
0.0125
0.0225
1200
°
C
0.00
0.0
0.0
Note that there is no need to consider lateral torsional buckling unless
λ
LT
:θ
com
>
0
:
4, and the correction factor of 1.2 simply allows for uncertainties.
In the load resistance domain, buckling capacity at maximum temperature
θ
a.max
is
●
1
γ
M
:
fi
Ak
y
:θ:
max
f
y
χ
fi
1
N
b
:
fi
:
t
:
Rd
=
:
2
In the load resistance domain, buckling capacity at maximum temperature
θ
a.max
is reduced yield strength = k
y.q.max
f
y
at
θ
a.max
Reduction factor
χ
fi
for flexural buckling based on:
●
Buckling curve (c)
●
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