|
β
|
The bond coefficient of steel fiber. |
|
θ
|
The angle of inclination of the concrete strut, taken as 45°. |
|
ρf
|
The volume ratio of fibers. |
|
ρl
|
Longitudinal steel reinforcement ratio. |
|
ρt
|
Transversal steel reinforcement ratio. |
|
Acp
|
Total concrete cross-sectional area. |
|
Al
|
Total cross-sectional area of longitudinal steel reinforcement. |
|
A
0
|
The area enclosed inside centerline of shear flow path. |
|
As
|
Cross-sectional area of steel stirrup. |
|
At
|
The cross-section area of one branch of the steel stirrups. |
|
c
1
|
Constant with value equal to 0.5, 0.55 and 0.86 for beams with rectangular, flanged and circular cross-section, respectively. |
|
c
2
|
Constant with value equal to 0.04, 0.08 and 0.92 for beams with rectangular, flanged and circular cross-section, respectively. |
|
D
|
The diameter of cross-section. |
|
df
|
Diameter of fiber. |
|
F
|
The fiber factor, which is taken as β (lf/df) ρf. |
|
|
The cylinder compressive strength of the concrete. |
|
|
The cubic compressive strength of the concrete. |
|
|
The yield stress of longitudinal steel reinforcing bars. |
|
|
The concrete tensile strength, taken as . |
|
|
The yield stress of transversal steel reinforcement (stirrups). |
|
k
2
|
The longitudinal reinforcement factor. |
|
lf
|
Length of fiber. |
|
m
|
The ratio between the longitudinal and transversal reinforcement, which is taken as ρl fly/ρt fty. |
|
Pcp
|
The perimeter of concrete section. |
|
Ph
|
The perimeter of outermost closed stirrup. |
|
s
|
The spacing between steel stirrups along the longitudinal direction of the beam. |
|
T
|
Torsion capacity of the cross-section. |
|
x
|
the smaller dimension of the cross-section. |
|
x
0
|
The smaller center to center dimension of the thin wall tube analogy, which is taken approximately as (5/6) x. |
|
x
1
|
The smaller dimension of the steel stirrup, which is taken approximately as 0.9 x.
|
|
y
|
The larger dimension of the cross-section. |
|
y
0
|
The larger center to center dimension of the thin wall tube analogy, which is taken approximately as (5/6) y. |
|
y
1
|
The larger dimension of the steel stirrup, which is taken approximately as 0.9 y. |