Through analysis and discussion of the structural response under working condition 1, it is observed that as the spring stiffness of the support increases, the prestress in the lower string of the cable-stayed beam also increases. This leads to a reduction in mid-span deflection and section bending moment, while the axial force at the support section rises. Moreover, as the prestress of the lower string increases, the decrease in mid-span bending moment exceeds the increase in axial compression, thereby reducing the unfavorable normal stress at the mid-section. Although the normal stress at the support section increases slightly, this small change has minimal impact on the overall structural behavior, indicating that the support section is not the critical section for design.
In working condition 2, the values are smaller compared to those in working condition 4, which suggests that the influence of the mid-span spring (k3) on the structural performance is greater than the combined effect of the two side springs (k2 and k4). This indicates a stronger resistance to deflection provided by the spanning strut. The mid-span bending moment in working condition 2 is lower than in working condition 4, while the axial force is higher. Since the main internal force controlling each cross-section is the bending moment, working condition 2 performs better in terms of internal force response compared to working condition 4. Comparing working conditions 2 and 3, improving the stiffness of the middle strut significantly enhances the overall mechanical performance of the structure.
It is observed that the deformation increase in working conditions 2 and 4 is similar, meaning their deformation stiffness is comparable. When comparing working condition 2 with working condition 4, it is clear that working condition 2 performs better in terms of both mid-span deflection and bearing displacement. Additionally, the internal force response in working condition 3 is better than in working condition 2, showing that the coordinated improvement of all three struts enhances the structure’s ability to resist deflection and results in a more optimal structural configuration.
As the spring stiffness of the support increases, the structural deflection decreases gradually. This means that increasing the prestress of the lower string improves the structural stiffness slowly. When comparing working conditions 2, 3, and 4, the vertical joint spring stiffness improvement shows a more significant effect on structural performance than the strut stiffness improvement. This highlights that although the spanning strut plays a major role in enhancing flexural capacity, the contribution of the auxiliary struts on both sides is also effective.
From the analysis of working conditions 2 and 3, it is evident that the central vertical spring has a more significant impact on internal forces than on displacements, but the combined effect of all three struts yields better results.
In conclusion, this study simulates the effects of the struts and lower strings of the cable-stayed beam as springs and establishes a spring-based calculation model for the cable-stayed beam. The influence of changes in the stiffness of each spring on structural deformation and internal forces is analyzed. The results show that from the perspective of deformation and internal force response, the spanning strut has a greater effect than the side struts. However, coordinating the improvement of the flexural capacity of all struts leads to a better overall structural performance. Additionally, the prestressing of the lower string helps improve the structural stress distribution.
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