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. 2021 Sep 16;14(18):5341. doi: 10.3390/ma14185341
FRP fiber-reinforced polymer
AFRP aramid fiber-reinforced polymer
BFRP basalt fiber-reinforced polymer
CFRP carbon fiber-reinforced polymer
GFRP glass fiber-reinforced polymer
Asc cross-sectional area of the compression reinforcement
Afrp cross-sectional area of the FRP tension reinforcement
Ast cross-sectional area of the steel tension reinforcement
ccr neutral axis depth of the section at fully cracked state
cy neutral axis depth of the section at the initiation of yielding of steel tension reinforcement
Cc internal force in the rectangular concrete compression block
Cs internal force in the compression steel
d effective depth
d depth of the compression reinforcement from the compression face
E modulus of elasticity
Ec modulus of elasticity of concrete
Ef modulus of elasticity of FRP
Es modulus of elasticity of steel
Esec secant modulus of elasticity of concrete
Esh slope of the strain-hardening portion of the stress-strain curve of steel
fc specified compressive strength of concrete
fc maximum compressive strength of concrete in the Todeschini et al. [34] stress-strain model
fcc) stress in concrete corresponding to the extreme compression fiber strain
fck concrete characteristic compressive strength
fctm mean direct tensile strength of concrete
fctm,fl mean flexural tensile strength of concrete
ffrpst) stress in tension FRP corresponding to the extreme compression fiber strain
ffu rupture stress of FRP
fr modulus of rupture of concrete
fsst) stress in tension steel corresponding to the extreme compression fiber strain
fscsc) stress in compression steel corresponding to the extreme compression fiber strain
h total beam height in mm
I second moment of area (moment of inertia)
Icr cracked moment of inertia (tension steel not yielded)
Icr 2 second cracked moment of inertia (tension steel yielded)
Ie effective moment of inertia
Ig gross moment of inertia
Im modified moment of inertia
Iucr uncracked transformed moment of inertia
Iy yielding moment of inertia (right before yielding of tension steel)
Iy 2 second yielding moment of inertia (immediately after yielding of tension steel)
k 2 c) coefficient in the Todeschini et al. [34] stress-strain model for the depth of the centroid of concrete compression blocks from compression faces
L length of the beam span
Lss shear span length
m power term in the effective moment of inertia expression
Ma applied moment
Mcr first-cracking moment
Mcc moment contribution of concrete block
Mfcr full-cracking moment
Msc moment contribution of compression reinforcement
Mt moment contribution of tension reinforcement
n modular ratio of reinforcement to concrete
nf modular ratio of FRP to concrete
P applied load
Pcr cracking load
Pcr 1 analytical cracking load estimate for the experimental modulus of rupture and uncracked transformed moment of inertia
Pcr 2 analytical cracking load estimate for the experimental modulus of rupture and gross moment of inertia
Pcr 1A analytical cracking load estimate for the ACI318m-11 [32] modulus of rupture and uncracked transformed moment of inertia
Pcr 2A analytical cracking load estimate for the ACI318m-11 [32] modulus of rupture and gross transformed moment of inertia
Pcr 1E analytical cracking load estimate for the Eurocode 2 [31] modulus of rupture and uncracked transformed moment of inertia
Pcr 2E analytical cracking load estimate for the Eurocode 2 [31] modulus of rupture and gross transformed moment of inertia
Pcrt experimental cracking load
Pfcr full-cracking load
Pult ultimate load
Py yielding load
Tf internal force in the tension FRP
Ts internal force in the tension steel
α reduction factor in the effective moment of inertia expression
αb reduction factor in the effective moment of inertia depending on the reinforcement ratio
β reduction factor in the effective moment of inertia expression
βd reduction factor in the effective moment of inertia reflecting the modulus of elasticity and bonding properties of FRP on beam deflections
β 1 c) coefficient in the Todeschini et al. [34] stress-strain model for the width of the equivalent concrete compression block
δ deflection
Δδ incremental deflection
ΔP incremental load
εc extreme compression fiber strain
εcu crushing strain of concrete
εo concrete strain at ultimate stress
εfu rupture strain of FRP
εsc strain of the compression reinforcement
εsh strain of steel at the initiation of strain-hardening
εst strain of the tension reinforcement
εy yielding strain of steel
εu ultimate (rupture) strain of steel
ρ total tension reinforcement ratio
ρf ratio of FRP tension reinforcement
ρfb balanced FRP tension reinforcement ratio