# Punching shear resistance of a column base without shear reinforcement, `v`_{Rd}

_{Rd}

## Eurocode 2 part 1-1: Design of concrete structures 6.4.4 (2)

The punching resistance of column bases should be verified at control perimeters within 2`d` from the periphery of the column. The design punching shear resistance [MPa] of a column base without shear reinforcement may be calculated as follows:

v = _{Rd}C _{Rd,c}k (100 ρ _{l}f)_{ck}^{1/3}⋅2d/a ≥ (v⋅2_{min}d/a) | (6.50) |

where:

`f`_{ck}- is the characteristic compressive strength of concrete, see Table 3.1
`k`- = 1 + √200/
`d`≤ 2,0

where`d`is the effective depth, in [mm] `a`- is the distance from the periphery of the column to the control perimeter considered, in [mm]
`ρ`_{l}- = (
`ρ`⋅_{ly}`ρ`)_{lz}^{1/2}≤ 2%

`ρ`,_{ly}`ρ`are longitudinal reinforcement ratios in y- and z- directions respectively_{lz} `C`_{Rd,c}- is a Nationally Determined Parameter, see § 6.4.4 (1)
`v`_{min}- is a Nationally Determined Parameter, see § 6.4.4 (1), or (6.3N) for the calculation of
`v`following the Eurocode recommendation._{min}

This application calculates
the punching shear resistance of a column base `v _{Rd}`
from your inputs.
Intermediate results will also be given.