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. 2023 Jul 1;16(13):4769. doi: 10.3390/ma16134769
σs Reinforcement stress (MPa)
Es 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/(hxc);
εfrc Ultimate compressive strain of SFRAC (με)
σfrc Ultimate compressive stress of SFRAC (με)
εfrt0 Peak tensile strain (με)
εfrtu 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)
δR Recycled Aggregate Replacement Rate
λf 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)
αE Ratio of the elastic modulus of the longitudinal tensile steel bar to the SFRAC elastic modulus
γfrmexp Measured value of the resistance moment plastic influence coefficient of the SFRAC section
Mfrcrexp Measured cracking moment (kN·m)
Mfrcrc Calculation value of cracking moment (kN·m)
M frcr Cracking moment of the SFRAC beam (kN·m)
γfrm 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)
Ma Ultimate bending moment of SFRAC beam is calculated according to ACI 544.4 R-88
Mu 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)
fc Compressive strength of concrete (MPa)
σt Tensile stress in fibrous concrete (MPa)
Fbe Bond efficiency of the fiber
εf Tensile strain in steel fiber at theoretical moment strength of beam
Muc Theoretically calculated value of the ultimate bending moment (kN·m)
Muexp Measured value of the ultimate bearing capacity (kN·m)
As Section area of the longitudinal tensile bar (mm2)
Vf Percent by volume of steel fibers