|
Reinforcement stress (MPa) |
|
Elastic modulus of steel bar (MPa) |
x
c
|
Height of the compression zone (mm) |
x
e
|
Height of the elastic part of the tension zone (mm) |
x
p
|
Height of the elastic part of the plastic part (mm) |
μ
|
Ratio of the height of the plastic zone to the height of the tension zone, μ = xp/(h − xc); |
|
Ultimate compressive strain of SFRAC (με) |
|
Ultimate compressive stress of SFRAC (με) |
|
Peak tensile strain (με) |
|
Ultimate tensile strain of SFRAC (με) |
D
|
Resultant force of the compression zone (N) |
T
e
|
Resultant force of the elastic zone in the tension zone. (N) |
T
p
|
Resultant force of the plastic region zone in the tensile region (N) |
T
s
|
Resultant force of the longitudinal tensile bar (N) |
|
Recycled Aggregate Replacement Rate |
|
Steel Fiber Volume Fraction |
f
frt
|
Tensile strength of SFRAC (N) |
f
y
|
Designed strength of the steel bar (MPa) |
f
t
|
Tensile strength of ordinary concrete with the same SFRAC strength grade (MPa) |
W
fr0
|
Resistance moment of the converted section after the longitudinal tensile reinforcement is converted into the SFRAC area. |
b
|
Width of the beam section (mm) |
h
|
Height of the beam section (mm) |
h
0
|
Effective height of the beam section (mm) |
|
Ratio of the elastic modulus of the longitudinal tensile steel bar to the SFRAC elastic modulus |
|
Measured value of the resistance moment plastic influence coefficient of the SFRAC section |
|
Measured cracking moment (kN·m) |
|
Calculation value of cracking moment (kN·m) |
M
frcr
|
Cracking moment of the SFRAC beam (kN·m) |
|
Resistance moment plastic influence coefficient of the SFRAC section |
W
fr0
|
Resistance moment of the converted section after the longitudinal tensile reinforcement is converted into the SFRAC area (mm3) |
W
frc
|
Elastoplastic resistance moment of the section of the SFRAC beam to the tension zone edge of the section considering the plastic deformation (mm3) |
|
Ultimate bending moment of SFRAC beam is calculated according to ACI 544.4 R-88 |
|
Ultimate bending moment of SFRAC beam is calculated according to ACI 318-2014 |
d
|
Distance from extreme compression fiber to centroid oftension reinforcement (mm) |
a
|
Depth of rectangular stress block b =width of beam (mm) |
c
|
Distance from extreme compression fiber to neutral axis found byequating the internal tension (mm) |
e
|
Distance from extreme compression fiber to top of tensile stress block of fibrous concrete (mm) |
|
Compressive strength of concrete (MPa) |
|
Tensile stress in fibrous concrete (MPa) |
|
Bond efficiency of the fiber |
|
Tensile strain in steel fiber at theoretical moment strength of beam |
|
Theoretically calculated value of the ultimate bending moment (kN·m) |
|
Measured value of the ultimate bearing capacity (kN·m) |
As
|
Section area of the longitudinal tensile bar (mm2) |
|
Percent by volume of steel fibers |