a | = | depth of equivalent rectangular stress block, mm |
Ac | = | area of the concrete for member, mm2 |
Af | = | area of fiber-reinforced polymer (FRP) reinforcement, mm2 |
Ap | = | area of the pre-stressed reinforcement, mm2 |
As | = | area of tension steel reinforcement, mm2 |
B | = | width of rectangular cross section, in |
c | = | distance from extreme compression fiber to the neutral axis, mm |
cb | = | distance from extreme compression fiber to the neutral axis at balanced strain condition, mm |
CE | = | environmental reduction factor for various fiber type and exposure conditions |
d | = | distance from extreme compression fiber to centroid of tension reinforcement, in |
dp | = | distance from extreme compression fiber to centroid of prestressing reinforce-ment, mm |
e | = | eccentricity, mm |
E | = | modulus of elasticity, kPa |
Ec | = | modulus of elasticity of concrete, kPa |
Ef | = | design or guaranteed modulus of elasticity of FRP defined as mean modulus of sample of test specimens |
Ep | = | Elastic modulus of pre-stressed steel, kPa |
f′c | = | specified compressive strength of concrete, kPa |
ff | = | stress in FRP reinforcement in tension, kPa |
ffu | = | design tensile strength of FRP, defined as the guaranteed tensile strength multiplied by the environmental reduction factor (ffu= CE*ffu*), kPa |
ffu* | = | guaranteed tensile strength of FRP bar, defined as mean tensile strength of sample of test specimens minus three times Standard deviation (ffu* = ffu, ave-3σ), kPa |
fpe | = | stress in steel due to effective pre-stress force (Pe or F) after all losses, psi. (fse in the ACI code) |
fpu | = | specified tensile strength of prestressing reinforcement, kPa |
fps | = | stress in prestressing reinforcement at nominal flexural strength, kPa |
fy | = | specified yield stress of non-pre-stressed steel reinforcement, kPa |
F | = | Pre-stress force, kN |
H | = | overall height of flexural member, mm |
I | = | moment of inertia, mm4 |
L | = | span length of the member, m |
Mn | = | nominal moment capacity, kN?m |
Pe | = | effective pre-stress (after all losses), kN |
r | = | radius of gyration of cross section, mm |
Greek letters |
β1 | = | factor relating depth of equivalent rectangular compressive stress block to depth of neutral axis |
?p | = | factor used for type of prestressing reinforcement |
D | = | the flexural displacement due to pre-stress F, in |
δmax | = | maximum elastic deflection on a member supported by two simple supports, in |
ε1 | = | first component in three to the sum of εps (total steel strain at failure) |
ε2 | = | second component in three to the sum of εps (total steel strain at failure) |
ε3 | = | third component in three to the sum of εps (total steel strain at failure) |
εc | = | maximum usable strain at extreme concrete compression fiber |
εfu | = | design rupture strain of FRP reinforcement, defined as the guaranteed tensile rupture strain multiplied by the environmental reduction factor. (εfu = CE?εfu*) |
ρ = | = | ratio of As to bd |
ρ' | = | ratio of A′s to bd |
ρf | = | fiber-reinforced polymer reinforcement ratio |
ρfb | = | fiber-reinforced polymer reinforcement ratio producing balanced strain conditions |
ρp | = | ratio of Aps to bdp |
ω | = | tension reinforcement index |
ω′ | = | compression reinforcement index |