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