# Design value for the shear resistance for members not requiring design shear reinforcement, `V`_{Rd,c}

_{Rd,c}

## Eurocode 2 part 1-1: Design of concrete structures 6.2.2 (1)

For members not requiring design shear reinforcement, the design value for the shear resistance `V _{Rd,c}` is given by:

V = [_{Rd,c}C _{Rd,c}k (100 ρ _{l}f)_{ck}^{1/3} + k _{1}σ] _{cp}b _{w}d | (6.2a) |

with a minimum of

V = (_{Rd,c}v + _{min}k _{1}σ) _{cp}b _{w}d | (6.2b) |

where:

`f`_{ck}- is the characteristic compressive strength of concrete, see Table 3.1
`b`_{w}- is the smallest width of the cross-section in the tensile area
`d`- is the effective depth of the cross-section
`k`- = 1+ √200/d ≤ 2,0
`ρ`_{l}- =
`A`≤ 0,02_{sl}/(`b`_{w}`d`)`A`_{sl}- is the area of the tensile reinforcement, which extends ≥ (
`l`+_{bd}`d`) beyond the section considered, see Figure 6.3

`σ`_{cp}- =
`N`/_{Ed}`A`< 0,2_{c}`f`_{cd}`N`_{Ed}- is the axial force in the cross-section due to loading or prestressing (
`N`> 0 for compression). The influence of imposed deformations on_{Ed}`N`may be ignored_{Ed} `A`_{c}- is the area of the cross-section of concrete
`f`_{cd}- is the design compressive strength of concrete, see § 3.1.6 (1)P

`C`_{Rd,c}- is a Nationally Determined Parameter, see § 6.2.2 (1)
`v`_{min}- is a Nationally Determined Parameter, see § 6.2.2 (1), or (6.3N) for the calculation of
`v`following the Eurocode recommendation_{min} `k`_{1}- is a Nationally Determined Parameter, see § 6.2.2 (1).

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