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Journal of Chinese
            Architecture and Urbanism                                          Seismic performance of reinforced SSPWs




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            Figure 10. Hysteresis curve of a steel shear wall reinforced with cross stiffeners in (A) perpendicular (Stiff-X-P) and (B) horizontal (Stiff-X-H) configurations
            Source: Graphs by the authors.

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            Figure 11. Hysteresis curve of a steel shear wall reinforced with circular stiffeners in (A) perpendicular (Stiff-C-P) and (B) horizontal (Stiff-C-H) configurations
            Source: Graphs by the authors.

                                                                   50000
                                                                   45000
                                                                   40000
                                                                   35000
                                                                  KN.m  30000
                                                                   25000
                                                                   20000
                                                                   15000
                                                                   10000
                                                                   5000
                                                                     0
                                                                           1        2         3        4
                                                                 stiff-C-H  3686   10010.2  18489.3   27272.2
                                                                 stiff-X-P  3282.5  15338   28964.4   44530.4
                                                                 stiff-X-H  3103.1  9976.8  20005.4   24284.9
                                                                 stiff-XC-H  4401.9  15256.4  26366.7  35205
                                                                 stiff-C-P  2745.5  7687.9  14973.8   23497.8
            Figure 12. Hysteresis curve of a combined steel shear wall reinforced with
            cross and circular stiffeners in a horizontal configuration (Stiff-XC-H)   Figure 13. Energy dissipation in 1-story frame models
            Source: Graph by the authors.                      Source: Graph by the authors.
            demonstrates the calculation process used to determine   3.3. Failure pattern in 1-story frames
            the area enclosed by the hysteresis loops for each cycle,   Non-linear analysis using FEM requires a yield criterion,
            representing the energy dissipation capacity of each
            stiffening system model. Based on Figure 13, the overall   which is defined as a function of multi-axial stress
            energy dissipation capacity of cross stiffeners is greater   variables.  This function, known as  the yield limit,
            than that of circular reinforcements, primarily due to   determines the onset of material yielding. One of the most
            the higher stiffness of cross configurations compared   well-known yield criteria is the von Mises yield criterion,
            to circular counterparts. Furthermore, the specimens   which is widely used due to its mathematical simplicity
            reinforced with cross stiffeners demonstrate improved   and effectiveness in predicting failure. The von Mises yield
            pinching behavior.                                 criterion states that a material will yield when its von Mises





            Volume 7 Issue 3 (2025)                         8                        https://doi.org/10.36922/jcau.5781
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