Environmental Engineering Reference
In-Depth Information
Table 4.8 Partial safety factors
g
M for ultimate resistances of concrete structural components
according to [11] Table 5.4.1
Material
Ultimate limit state
Serviceability
limit state
Failure or stability
Fatigue
1.50 a) (1.20) b)
Concrete (
g C )
1.50
1.00
1.40 a) (1.20) b)
Fibre-reinforced concrete (
g C )
1.40
1.00
1.15 a)
Reinforcing and prestressing
steel (
1.15
1.00
g S )
a) When designing for accidental situations, for example earthquakes,
g CA ¼ 1.30 may be
used for concrete and fibre-reinforced concrete,
g SA ¼ 1.00 for reinforcing and pre-
stressing steel.
b) The value in brackets
g Cm ¼ 1.20 may be used in deformation calculations if the
geometric and physical non-linearities are taken into account.
The value
g Cm ¼ 1.20 may be used for concrete in calculations based on second-order
theory, see [11] 5.4.1.4.2 (1). This corresponds to f cR ¼a f ck /
g Cm ¼a f ck /1.20 ¼ 0.85
a f ck according to [33] 8.5.1 (4).
5. Performing the deformation calculation according to second-order theory generally
requires the help of a computer program.
6. Checking the capacities of the cross-section:
If the deformation calculation was carried out according to [33] 8.6.1 (6) using the
theoretical mean values for the material strengths according to [33] 8.6.1 (4), then the
ultimate load-carrying capacities at the critical cross-sections must be verified using
the uniform partial safety factor
g R or
g RA for the design value of the ultimate resistance
(see above):
E d R ð f cR ;
f yR ;
f p0 : 1R Þ=g R
or E dA R ð f cR ;
f yR ;
f p0 : 1R Þ=g RA
Performing the deformation analysis according to [33] 8.6.1 (7) as an alternative
approach means using the following design values for the material strengths and
associated partial safety factors
g M when calculating the ultimate load-carrying
capacities at the critical cross-sections:
Concretes up to C 50/60:
f cd ¼a f ck /
g CA
Concrete grade C 55/67 and higher:
f cd ¼ a f ck =ðg C g
g C or f cdA ¼a f ck /
0 C Þ or f cdA ¼ a f ck =ðg CA g
0 C Þ
Reinforcing steel:
f yd ¼ f yk /
g S or f ydA ¼ f yk /
g SA
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