Punching shear resistance of a slab without shear reinforcement, vRd,c
Eurocode 2 part 1-1: Design of concrete structures 6.4.4 (1)
The punching shear resistance of a slab should be assessed for the basic control section (see Figure 6.12). The design punching shear resistance [MPa] may be calculated as follows:
|vRd,c = CRd,c k (100 ρl fck)1/3 + k1 σcp ≥ (vmin + k1 σcp)||(6.47)|
- is the characteristic compressive strength of concrete, see Table 3.1
- = 1 + √200/d ≤ 2,0
where d is the effective depth, in [mm]
- = (ρly⋅ρlz)1/2 ≤ 2%
ρly, ρlz are longitudinal reinforcement ratios in y- and z- directions respectively. Their values should be calculated as mean values taking into account a slab width equal to to column width plus 3d each side
- = (σcy + σcz)/2,
where σcy, σcz are the normal concrete stresses in the critical section in y- and z- directions (in [MPa], positive if compression):
σcy = NEd,y / Acy and σcy = NEd,z / Acz
NEd,y, NEd,y are the longitudinal forces across the full bay for internal columns and the longitudinal force across the control section for edge columns. The force may be from a load or prestressing action.
Acy, Acz are the areas of concrete according to the definition of NEd,y, NEd,y respectively
- is a Nationally Determined Parameter, see § 6.4.4 (1)
- is a Nationally Determined Parameter, see § 6.4.4 (1), or (6.3N) for the calculation of vmin following the Eurocode recommendation
- is a Nationally Determined Parameter, see § 6.4.4 (1).
This application calculates the punching shear resistance of a slab vRd,c from your inputs. Intermediate results will also be given.