Ultimate limit state - shear
The verification of the shear resistance is performed according to the chapter 6.2 of EN 1992-1-1.
Members not requiring design shear reinforcement
The design value for the shear resistance VRd,c is given according to the chapter 6.2.2(1):
Where is: | ρ| |
|
fck |
| |
bw |
| |
d |
|
The minimum value of the shear resistance VRd,c is given by expression (6.2b):
The coefficient k is given by
Where is: | d |
|
The reinforcement ratio ρ| is calculated using following formula
Where is: | As| |
|
The concrete compressive stress at the centroidal axis due to axial loading σcp is given by expression
Where is: | NEd |
|
Ac |
| |
fcd |
|
The value of CRd,c is given by formula
The value of vmin is calculated using the formula (6.3N):
Members requiring design shear reinforcement
The shear resistance is calculated with the help of formula (6.8):
Where is: | Asw |
|
s |
| |
fyd |
| |
z |
| |
Θ |
|
The shear resistance for members with inclined shear reinforcement is calculated with the help of formula (6.13):
The maximum shear force limited by crushing of the compression struts is calculated using formula (6.9):
Where is: | αcw |
|
bw |
| |
ν1 |
| |
fcd |
| |
Θ |
|
The maximum shear force limited by crushing of the compression struts for members with inclined shear reinforcement is calculated using formula (6.14):
The strength reduction factor for concrete cracked in shear is calculated using formula (6.6N):
The minimum of values VRd,s and VRd,max is considered as the design shear resistance VRd.