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
(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]
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