Design value for the shear resistance of members with inclined shear reinforcement, VRd
Eurocode 2 part 1-1: Design of concrete structures 6.2.3 (4)
For members with inclined shear reinforcement, the shear resistance, VRd is the smaller value of:
 | (6.13) |
and:
| VRd,max = αcw bw z ν1 fcd (cotθ + cotα)/(1 + cot2α) | (6.14) |
where:
- Asw
- is the cross-sectional area of the shear reinforcement
- s
- is the spacing of the stirrups
- fywd
- is 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 - fcd
- is the design compressive strength of concrete, see § 3.1.6 (1)P
- z
- is the inner lever arm, see Figure 6.5
- bw
- is the smallest width of the cross-section between tension and compression chords, see Figure 6.5
- α
- is the angle between shear reinforcement and the beam axis perpendicular to the shear force, see Figure 6.5
- θ
- is the angle between the concrete compression strut and the beam axis perpendicular to the shear force, see Figure 6.5 and § 6.2.3 (2)
- ν1
- is a strength reduction factor for concrete cracked in shear, see § 6.2.3 (3)
- αcw
- is a coefficient taking account of the state of the stress in the compression chord, see § 6.2.3 (3).
This application calculates the shear resistance VRd from your inputs. Intermediate results will also be given.
