Eurocode 3 Classification Parameters (Non-Welded)

The parameters for non-welded calculations are listed in both the Assign Material tab and the My Material tab of the Assign Material dialog.

The defaults are with respect to material = steel.

The following are the parameters listed in the Assign Material tab.

The following are the parameters listed in the My Material tab.

Formulation

Query Stress ${\sigma }_{xx}$ , ${\sigma }_{yy}$ , ${\tau }_{xy}$ (max and min across all loadcases)

Find the stress ranges (max – min) = ( $\Delta {\sigma }_{xx}$ , $\Delta {\sigma }_{yy}$ , and $\Delta {\tau }_{xy}$ )

Multiply Stress Range from Loading Factor $\Delta \sigma$

$=\Delta \sigma ·{\gamma }_{Ff}$

Calculate Corrected Fatigue Strength $\Delta {\sigma }_C$ and $\Delta {\tau }_C$

$\Delta {\sigma }_C=\left[\frac{\Delta {\sigma }_{C,Basic}}{{\gamma }_{Mf}}\right]·ks·kt·ksur$

$\Delta {\tau }_C=\left[\frac{\Delta {\tau }_{C,Basic}}{{\gamma }_{Mf}}\right]·ks·kt·ksur$

Calculate Constant Amplitude Fatigue Limit $\Delta {\sigma }_D$ and $\Delta {\tau }_D$

$\Delta {\sigma }_D=\Delta {\sigma }_C{\left(\frac{N_{c\sigma }}{N_{D\sigma }}\right)}^{\frac{1}{m_{1\sigma }}}$

$\Delta {\tau }_D=\text{Inf}$

Calculate Stress at Cut-off Limit $\Delta {\sigma }_L$ and $\Delta {\tau }_L$

$\Delta {\sigma }_L=\Delta {\sigma }_D{\left(\frac{N_{D\sigma }}{N_{L\sigma }}\right)}^{\frac{1}{m_{2\sigma }}}$

$\Delta {\tau }_L=\Delta {\tau }_C{\left(\frac{N_{c\tau }}{N_{L\tau }}\right)}^{\frac{1}{m_{1\tau }}}$

Calculate Permissible Number of Cycles $N_{perm}$

$\begin{array}{l}\text{For }\Delta \sigma \\ \text{If }\Delta {\sigma }_{\text{(stress range)}}>\Delta {\sigma }_{D,}\\ N_{perm}=N_{D\text{}\sigma }{\left(\frac{\Delta \sigma }{\Delta {\sigma }_D}\right)}^{-m_{1\sigma }}\\ \text{If }\Delta {\sigma }_D>\Delta \sigma \ge \Delta {\sigma }_{L,}\\ N_{perm}=N_{D\text{}\sigma }{\left(\frac{\Delta \sigma }{\Delta {\sigma }_D}\right)}^{-m_{2\sigma }}\\ \text{If }\Delta \sigma <\Delta {\sigma }_{L,}\\ N_{perm}=\text{Inf}\\ \text{For}\Delta \tau \\ \text{If }\Delta {\tau }_{\text{(stress range)}}\ge \Delta {\tau }_{C,}\\ N_{perm}=N_{C\tau }{\left(\frac{\Delta \tau }{\Delta {\tau }_C}\right)}^{-m_{1\tau }}\\ \text{If }\Delta {\tau }_{\text{(stress range)}}<\Delta {\tau }_{L,}\\ N_{perm}=\text{Inf}\end{array}$

Component Damage

$D_x=\frac{N}{N_{perm\text{}x}}<1.0$

$D_y=\frac{N}{N_{perm\text{}y}}<1.0$

$D_{xy}=\frac{N}{N_{perm\text{}xy}}<1.0$

Equivalent Damage

$D=\max ( D_{\delta ,y}^{\mathrm{}}+D_{\delta ,xy}^{\mathrm{}} , D_{\delta ,x}^{\mathrm{}}+D_{\delta ,xy}^{\mathrm{}} )$