Environmental Engineering Reference
In-Depth Information
The S-N curves for repeated compressive loads are as follows:
When 0
<
S
cd
;
min
<
0
:
8, then
log N
1
¼ð
12
þ
16
S
cd
;
min
þ
8
S
cd
;
min
Þð
1
S
cd
;
max
Þ
(4.7)
log
N
2
¼ 0
:
2 log
N
1
ðlog
N
1
1Þ
(4.8)
S
(4.9)
The critical numbers of fatigue cycles log N are defined according to Equations 4.10 to
4.13:
log
N
3
¼ log
N
2
ð0
:
3 3
S
cd;min
=
8Þ=D
If logN
1
6
then
logN
¼
logN
1
;
(4.10)
If log
N
1
>
6 and
D
S
0
:
3 3
S
cd;min
=
8
;
then
(4.11)
log
N
¼ log
N
2
If log
N
1
>
6 and
D
<
0
:
3 3
S
cd;min
=
8
;
then
S
(4.12)
log
N
¼ log
N
3
with
S
cd;min
and
S
cd;max
according to Eqs
:ð4
:
2Þ and ð4
:
3Þ:
(4.13)
D
S
¼
S
cd;max
S
cd;min
Equation 4.14 applies for the S-N curve for plain concrete subjected to a repeated
tensile load:
logN
¼
12
ð
1
S
td
;
max
Þ
(4.14)
where
S
td;max
¼ g
sd
s
ct;max
=
f
ctd;fat
(4.15)
and
f
ctd;fat
¼
f
ctk; 0:05
=
g
c
Figure 4.31 shows the S-N curve for a repeated tensile load.
Fig. 4.31 S-Ncurve for concrete subjected to a repeated tensile load according toModel Code 90 [66]