|
ai
|
the height of main crack at the ith cycle |
|
As
|
cross-sectional area of tensile steel bar |
|
A′s
|
cross-sectional area of compressive steel bar |
|
Af
|
cross-sectional area of CFRP |
|
b
|
the width of the RC beam |
|
c
|
the depth of the concrete cover(measured from bottom surface of section) |
|
c′
|
the depth of the concrete cover(measured from top surface of section) |
|
D
|
accumulation of fatigue damage |
|
Eci
|
effective elastic modulus of concrete at the ith cycle |
|
Ec
|
initial elastic modulus of concrete |
|
Es
|
elastic modulus of the tensile steel bar |
|
E′s
|
elastic modulus of the compressive steel bar |
|
Ef
|
elastic modulus of the CFRP |
|
fc
|
uniaxial compressive strength of concrete |
|
fy
|
yield strength of the tensile steel bar |
|
ft
|
uniaxial tensile strength of the concrete |
|
h
|
the height of the RC beam |
|
hci
|
the height of the tension zone for the concrete at the ith cycle at the main cracked section |
|
k1, k2, k3, k4
|
parameters determined by the tensile steel bar |
|
M
|
bending moment at the main cracked section |
|
ni
|
the cycle number for the specified stress amplitude of tensile steel bars |
|
N
|
cycle number to fatigue failure |
|
Nf
|
fatigue lives |
|
Ni
|
the final cycle number to failure for the specified stress amplitude of tensile steel bars |
|
Nci
|
the number of loading cycles to failure for concrete |
|
Pmax
|
peak load |
|
Pmin
|
minimum load |
|
R
|
the stress ratio |
|
Ssi
|
stress range applied at steel |
|
Sci
|
maximum stress level at the ith cycle for concrete |
|
yci
|
height of the compression zone for the concrete at the ith cycle at the main cracked section |
|
|
maximum tensile stress of steel |
|
|
maximum compressive stress of concrete |
|
|
maximum strain of the compressive concrete at the ith cycle |
|
|
uniaxial tensile strain of the concrete |
|
|
longitudinal strain of the tensile steel bar at the ith cycle |
|
|
longitudinal strain of the compressive steel bar at the ith cycle |
|
|
initial strain of prestressed CFRP |
|
|
longitudinal strain of CFL at the ith cycle |