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.