Civil Engineering Reference
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f
E
E
×
0.003
cu
sec,
sec,
u
c
=
(7. 55)
u
f
E
EE
cc
cc
c
(7. 56)
E
= ε
and
r
=
sec
c
sec
Any point on the generated eccentric curve can be calculated using the follow-
ing equation:
fxr
cc
(7. 57)
f
= −+
c
r
r
1
x
where
= ε
ε
c
cc
x
(7. 58)
E
EE
c
r
=
(7. 59)
c
sec
f cc
cc
E
= ε
(7.6 0)
sec
7.3.2.3 Eccentric-Based Model Selection
Eccentric-based model selection depends on the ratio of ( f lf / f c ) for a concentrically
loaded column. If this ratio ( f lf / f c ) > 0.08, the Lam and Teng eccentric model is used
in the analysis. If the ratio ( f lf / f c ) < 0.08, the Mander eccentric model is used in the
analysis, as seen in Figure 7.10. Accordingly, KDOT Column Expert allows the case
of a descending curve to be analyzed.
FRP wrapped column: diameter,
thickness,
Concrete properties, Steel properties
FRP properties
Calculate f i
Calculate f if / f c
Yes
No
Eccentric Based model (Lam
and Teng Equations) is used
Eccentric Based model
(Mander Equations) is used
f if / f c > 0.08
FIGURE 7.10
Eccentric model implementation strategy. (Courtesy of Abd El Fattah [2012].)
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