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. 2021 Jul 12;14(14):3889. doi: 10.3390/ma14143889
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.
fc The cylinder compressive strength of the concrete.
fcu The cubic compressive strength of the concrete.
fly The yield stress of longitudinal steel reinforcing bars.
ft The concrete tensile strength, taken as (0.45fcu).
fty 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.