Civil Engineering Reference
In-Depth Information
Table III.3 Notations
a
Shear span
A p
Cross-sectional area of prestressed reinforcement
A s
Cross-sectional area of longitudinal tension reinforcement
A α
Traditional shear reinforcement area
b f
Flange width
b o
Web width
d
Effective depth
f bpt
Constant bond stress at which the prestress is transferred to the concrete at release of
tendons
f ctd ( t )
Design tensile value of strength at time of release
f ctk
Characteristic tensile strength value for the concrete matrix
f Ftuk
Characteristic ultimate residual tensile strength value for ber-reinforced concrete
f p0
Stress in strands when the strain in the surrounding concrete is zero
f R3k
Residual flexural tensile strength corresponding to CMOD = 2.5 mm (according to EN
14651)
f R4k
Residual flexural tensile strength corresponding to CMOD = 3.5 mm (according to EN
14651)
f yα,k
Yielding strength of shear reinforcement steel
I
Second moment of area
k f
Factor to take into account the flanges contribution in the T-sections (EHE08 and
RILEM)
l crit
Critical length
l pt
Transfer length
l pt2
Upper bound value of the transmission length of the prestressing element: l pt2 =
1.2 ·
l pt
l x
Distance of section considered from starting point of the transmission length
S
First moment of area above and about the centroidal axis
V cu
Design shear resistance attributed to concrete
V fu
Design shear resistance attributed to bers
V su
Design shear resistance provided by shear reinforcement
V u2
Design shear resistance
z
Internal lever arm corresponding to the maximum bending moment. In the shear
analysis, an approximate value z = 0.9 d can be normally used
α
Inclination of stirrups in relation to the beam axis
α l
l x /l pt2
1 for pretensioned tendons
=
ʲ
Reduction factor referred to the transmission length ( ʲ = 0.9)
ʳ c
Partial safety factor for concrete material properties
ʳ s
Partial safety factor for the material properties of reinforcement and prestressing steel
ʵ x
Longitudinal strain at the mid-depth of the member
ʷ p1
Coef cient that takes into account the type of tendon and the bond situation at release
ʸ
Inclination of the compression stresses
ʸ
Reference angle of cracks inclination
e
(continued)
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