# Design value for the shear resistance of members with vertical shear reinforcement, `V`_{Rd}

_{Rd}

## Eurocode 2 part 1-1: Design of concrete structures 6.2.3 (3)

For members with vertical shear reinforcement, the shear resistance, `V _{Rd}` is the smaller value of:

(6.8) |

and:

V = _{Rd,max}α _{cw}b _{w}z ν _{1}f /(cot_{cd}θ + tanθ) | (6.9) |

where:

`A`_{sw}- is the cross-sectional area of the shear reinforcement
`s`- is the spacing of the stirrups
`f`_{ywd}- is the design yield strength of the shear reinforcement,
`f`=_{ywd}`f`/_{yk}`γ`_{S}

see § 2.4.2.4 (1) for the values of`γ`,_{S}

see § 3.2.2 (3)P for the uper limit of`f`,_{yk}

see Figure 3.8 for the design stress-strain diagrams of the reinforcing steel `f`_{cd}- is the design compressive strength of concrete, see § 3.1.6 (1)P
`z`- is the inner lever arm, see Figure 6.5
`b`_{w}- is the smallest width of the cross-section between tension and compression chords, see Figure 6.5
`θ`- is the angle between the concrete compression strut and the beam axis perpendicular to the shear force, see Figure 6.5 and § 6.2.3 (2)
`ν`_{1}- is a strength reduction factor for concrete cracked in shear, see § 6.2.3 (3)
`α`_{cw}- is a coefficient taking account of the state of the stress in the compression chord, see § 6.2.3 (3).

This application calculates
the shear resistance `V _{Rd}`
from your inputs.
Intermediate results will also be given.