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# Punching shear resistance of a lightweight concrete column base without shear reinforcement, vlRd

## Eurocode 2 part 1-1: Design of concrete structures \$(document).ready(function () { var freeExample = \$("#freeExample").length; \$("#mainMenu li#nav-appCate, #mainMenu li#nav-appEC211").addClass("active"); var proUser = false === true || false === true || freeExample !== 0; if (!proUser) { \$('#Input input').keyup(function(){ \$('#AlertSubscribe').modal(); }); \$('#Input select').change(function(){ \$('#AlertSubscribe').modal(); }); }; var tempInput = \$("#tempInput").text(); if (tempInput != "") { \$("#Input").parent("form").deserialize(tempInput); if (proUser) { \$("#acceptBtn").trigger("click"); } }; });  11.6.4.1 (2) & 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 lightweight concrete column base without shear reinforcement may be calculated as follows:

 vlRd = ClRd,c η1 k (100 ρl fck)1/3⋅2d/a   ≥ (η1 vmin⋅2d/a) (11.6.50)

where:

η1
is a coefficient for determining tensile strength of lightweight concrete
flck
is the characteristic compressive strength of lightweight concrete, see Table 11.3.1
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
is the reinforcement ratio for longitudinal reinforcement, ρl ≥ 0,005
ClRd,c
is a Nationally Determined Parameter, see § 11.6.1 (1)
vl,min
is a Nationally Determined Parameter, see § 11.6.1 (1), or the application for the calculation of vl,min following the Eurocode recommendation.

This application calculates the punching shear resistance of a column base vlRd from your inputs.

Input
MPa
mm
mm
%
MPa

Output
k
the punching shear resistance of a column base vlRd
MPa (11.6.50)