2.4.4.3 Shear force resistance of the concrete compression strut

Shear force resistance of the concrete compression strut

For structural components with shear reinforcement perpendicular to the component's axis (α = 90°), the shear resistance V_Rd is the smaller value from:

$V_{R d, s} = (\frac{A_{S W}}{s}) \cdot z \cdot f_{y w d} \cdot c o t θ (6.8)$

$V_{R d, m a x} = α_{c w} \cdot b_{w} \cdot z \cdot ν_{1} \cdot \frac{f_{c d}}{(c o t θ + \tan θ)} (6.9)$

where

Table 2.2
A_sw	cross-sectional area of the shear reinforcement
s	spacing of links
f_ywd	design yield strength of the shear reinforcement
ν₁	reduction factor for the concrete strength in case of shear cracks
α_cw	coefficient for considering the stress state in the compression chord

For structural components with inclined shear reinforcement, the shear force resistance is the smaller value from:

$V_{R d, s} = (\frac{A_{S W}}{s}) \cdot z \cdot f_{y w d} \cdot (c o t θ + c o t α) \cdot s i n α (6.13)$

$V_{R d, m a x} = α_{c w} \cdot b_{w} \cdot z \cdot ν_{1} \cdot f_{c d} \cdot \frac{(c o t θ + c o t α)}{(1 + c o t^{2} θ)} (6.14)$

Parent section

2.4.4 Shear Design