# An Investigation on Base Metal Block Shear Strength of Ferritic Stainless Steel Welded Connection
## 4 Strength Comparison with Design Prediction and Recommendation
### Stress Analysis for Extended Variables
#### 4.2.1 Tensile Stress Factor  
Table 6 summarizes the ratio of maximum stress to the triaxial stress, material tensile strength (\(\sigma_{u}\)), and the two average stresses (\(\sigma_{11}\)/\(\sigma_{tu}\) and \(\sigma_{22}\)/\(\sigma_{tu}\)), in which the tensile stress distribution in the tensile fracture section of the critical section of the welded connection according to Path 3, are non-dimensionalized by the true stress (\(\sigma_{tu}\)). The triaxial stress value was calculated as the ratio (\(ST=\sigma_{22}\)/\(\sigma_{Mises}\)) of maximum stress (\(\sigma_{22}\)) to the von Mises yield stress (\(\sigma_{Mises}\)). Figure 10 shows the relationship between the triaxial stress and the ratio of maximum stress to the triaxial stress and material tensile strength. As a result of the stress triaxiality effect, the tensile stress increased by 1.55 times the material tensile strength in the tensile section, and from the relation between the triaxial stress and the increased tensile stress, the tensile stress increased by 1.36 times the ferritin stainless steel tensile strength in the total tensile section of the block shear fracture.  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline  & \multicolumn{2}{c}{**Direct True Stress (\(\sigma_{11}\), \(\sigma_{22}\))-**} & **Stress Triaxiality (\(T\))** & **Direct True Stress-** \\ \cline{2-5}
**Specimen** & \multicolumn{2}{c}{**Tranverse Direct Stress**} & \multicolumn{2}{c}{**Longitudinal Direct**} & \multicolumn{1}{c}{**(ST)**} & **Nominal Stress Ratio** \\  & \multicolumn{2}{c}{**(1-axis)/(\(\sigma_{22}\)/\(\sigma_{tu}\))**} & **Stress (2-axis) (\(\sigma_{22}\)/\(\sigma_{tu}\))** & \multicolumn{1}{c}{**ST = \(\sigma_{22}\)/\(\sigma_{Mises}\)**} & \multicolumn{1}{c}{\(\sigma_{22}\)/\(\sigma_{u}\)**} \\ \hline FT20L20 & 0.51 & 1.08 & 1.17 & 1.59 \\ FT20L30 & 0.47 & 1.08 & 1.17 & 1.59 \\ FT20L40 & 0.42 & 1.06 & 1.17 & 1.59 \\ FT20L50 & 0.45 & 1.09 & 1.16 & 1.58 \\ FT20L60 & 0.44 & 1.09 & 1.15 & 1.57 \\ FT20L70 & 0.42 & 1.08 & 1.14 & 1.55 \\ FT20L77 & 0.44 & 1.08 & 1.16 & 1.58 \\ FT30L20 & 0.50 & 1.07 & 1.15 & 1.57 \\ FT30L30 & 0.48 & 1.08 & 1.09 & 1.48 \\ FT30L40 & 0.48 & 1.09 & 1.15 & 1.56 \\ FT30L45 & 0.44 & 1.07 & 1.13 & 1.54 \\ FT30L60 & 0.44 & 1.08 & 1.16 & 1.58 \\ FT30L65 & 0.45 & 1.08 & 1.15 & 1.57 \\ FT30L68 & 0.45 & 1.08 & 1.13 & 1.54 \\ FT40L20 & 0.48 & 1.05 & 1.16 & 1.57 \\ FT40L30 & 0.48 & 1.07 & 1.11 & 1.51 \\ FT40L40 & 0.47 & 1.08 & 1.11 & 1.52 \\ FT40L50 & 0.46 & 1.08 & 1.11 & 1.52 \\ FT40L60 & 0.49 & 1.09 & 1.11 & 1.51 \\ FT40L62 & 0.47 & 1.08 & 1.12 & 1.52 \\ Mean & 0.46 & 1.08 & 1.14 & 1.55 \\ \hline \hline \end{tabular}
\end{table}
Table 6: Stress and tensile stress factor in tensile section.  
Figure 10: Triaxiality (\(T\)) and normalized maximum longitudinal stress (\(\sigma_{22}\)/\(\sigma_{u}\)) from the toe of the weld line on the tension plane (Path 3): (**a**) Triaxiality (\(T\)), (**b**) Relationship between triaxiality (\(T\)) and normalized maximum longitudinal stress ratio (\(\sigma_{22}\)/\(\sigma_{u}\)).