For full functionality of this site it is necessary to enable JavaScript. Here are the instructions how to enable JavaScript in your web browser.

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

Eurocode 2 part 1-1: Design of concrete structures  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