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# Punching shear resistance of lightweight concrete slabs and column bases with shear reinforcement, vlRd,cs

## 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"); } }; });  11.6.4.2 (1) & 6.4.5 (1)

Where shear reinforcement is required, it should be calculated in accordance with the punching shear resistance:

 vlRd,cs = 0,75 vlRd,c + 1,5 (d/sr) Asw fywd,ef (1/(u1d)) sinα (11.6.52)

where:

vlRd,c
is the punching shear resistance [MPa] in cases without shear reinforcement, see applications for slabs and column bases
Asw
is the area of one perimeter of shear reinforcement around the column, in [mm2]
fywd,ef
is the effective design strength of the punching shear reinforcement [MPa],
fywd,ef = 250 + 0,25 d   ≤ fywd

with
fywd
the design yield strength of the shear reinforcement, fywd = fyk/γS
see § 2.4.2.4 (1) for the values of γS,
see § 3.2.2 (3)P for the uper limit of fyk,
see Figure 3.8 for the design stress-strain diagrams of the reinforcing steel
d
the mean of the effective depths in the orthogonal directions, in [mm]
sr
is the radial spacing of perimeters of shear reinforcement, in [mm]
If a single line of bent-down bars is provided (cf. 9.4.3 for detailing requirements for punching shear reinforcement), the ratio d/sr may be given the value 0,67
u1
is the basic control perimeter, see Figure 6.12 and cf. 6.4.2
α
is the angle between the shear reinforcement and the plane of the slab.

This application calculates the punching shear resistance vlRd,cs from your inputs.

Input
MPa
mm
mm
mm
mm2
MPa
°

Output
fywd,ef
MPa
the punching shear resistance vlRd,cs
MPa (6.52)