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Punching shear resistance of a column base without shear reinforcement, vRd

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 2d from the periphery of the column. The design punching shear resistance [MPa] of a column base without shear reinforcement may be calculated as follows:

vRd = CRd,c k (100 ρl fck)1/3⋅2d/a   ≥ (vmin⋅2d/a) (6.50)

where:

fck
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]
ρl
= (ρlyρlz)1/2   ≤ 2%
ρly, ρlz are longitudinal reinforcement ratios in y- and z- directions respectively
CRd,c
is a Nationally Determined Parameter, see § 6.4.4 (1)
vmin
is a Nationally Determined Parameter, see § 6.4.4 (1), or (6.3N) for the calculation of vmin following the Eurocode recommendation.

This application calculates the punching shear resistance of a column base vRd from your inputs. Intermediate results will also be given.

Input
MPa
mm
mm
%
%
MPa
Output
k
ρl
%
the punching shear resistance of a column base vRd
MPa (6.50)