Bending and shear (6.2.8)
We have to distinguish between two basic cases:
- $\boldsymbol{V_{Ed} \le 50 \% V_{pl,Rd}}$ and shear buckling does not reduce the section resistance (usually sections of class 1)
The shear might be ignored
- Otherwise
Reduced moment resistance is computed:
$f_{y, reduced} = (1-\rho)f_{y}, \hskip2em \rho = (2V_{Ed}/V_{pl,Rd} - 1)^2$
Example (reducing the strength in bending due to shear)
If a load is
- $V_{Ed} = 7\ \text{MN}$ and
- resistance $V_{pl,Rd} = 12\ \text{MN}$,
then $\rho = (2\cdot 7 / 12 - 1)^2 = 0.03$. The moment resistance is reduced by 3 %.
If a load is
- $V_{Ed} = 10\ \text{MN}$ and
- resistance $V_{pl,Rd} = 12\ \text{MN}$,
then $\rho = (2\cdot 10 / 12 - 1)^2 = 0.44$. The moment resistance is reduced by 44 %.
Also note that for $V_{Ed} = 50\ \% V_{pl,Rd} \implies \rho = 0$
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