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# Design value for the shear resistance for members not requiring design shear reinforcement, VRd,c

## 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"); } }; });  6.2.2 (1)

For members not requiring design shear reinforcement, the design value for the shear resistance VRd,c is given by:

 VRd,c = [CRd,c k (100 ρl fck)1/3 + k1 σcp] bw d (6.2a)

with a minimum of

 VRd,c = (vmin + k1 σcp) bw d (6.2b)

where:

fck
is the characteristic compressive strength of concrete, see Table 3.1
bw
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
ρl
= Asl/(bwd) ≤ 0,02
Asl
is the area of the tensile reinforcement, which extends ≥ (lbd + d) beyond the section considered, see Figure 6.3
σcp
= NEd / Ac < 0,2fcd
NEd
is the axial force in the cross-section due to loading or prestressing (NEd > 0 for compression). The influence of imposed deformations on NEd may be ignored
Ac
is the area of the cross-section of concrete
fcd
is the design compressive strength of concrete, see § 3.1.6 (1)P
CRd,c
is a Nationally Determined Parameter, see § 6.2.2 (1)
vmin
is a Nationally Determined Parameter, see § 6.2.2 (1), or (6.3N) for the calculation of vmin following the Eurocode recommendation
k1
is a Nationally Determined Parameter, see § 6.2.2 (1).

This application calculates the shear resistance VRd,c from your inputs. Intermediate results will also be given.

Input
MPa
MPa
mm
mm
mm2
mm2
N
MPa

Output
k
ρl
σcp
MPa
Calculated value VRd,c
kN (6.2.a)
Minimum value VRd,c
kN (6.2.b)
Design shear resistance VRd,c
kN