4.2. Load Displacement Curve Analysis
Longitudinal compression damage of concrete slabs: Under compression loads, concrete slabs experience compression along their length. This compression causes bending in the central region of the slab and may lead to cracking or rupture in the central area. Additionally, because the compressive strength of concrete is much higher than its tensile strength, during compression, if the slab experiences uneven pressure, local cracks may develop.
Significant changes in damage patterns: In the low-load stage, concrete slabs may only experience minor deformation and surface cracks. However, as the load increases, there may be greater bending and compression, leading to more severe cracking and structural damage. This change is caused by the nonlinear stress and strain behavior of the material.
Load-displacement curve: This curve displays the displacement behavior of a component under different loads. In the low-load stage, the curve may be relatively flat, indicating that the component can easily withstand this load. However, as the load increases, displacement may increase rapidly, and the curve may exhibit sharp upward or downward trends. This indicates that the stiffness of the component is changing, and it may be approaching or exceeding its load limit.
In the initial loading stage, the bearing capacity of the specimen is mainly maintained by concrete and steel pipes. In the later stage of loading, due to strain softening of concrete, its bearing capacity decreases, and steel pipes become the main load-bearing unit. When the relative displacement in the loading stage is zero, the component has already been affected by the load. When the yield strength is reached, the steel pipe has not yet exerted complete restraint on the concrete. The triaxial stress state in the concrete is weak, which leads to a overall decrease in the bearing capacity of the component. In the later stage of loading, the bending of the steel pipe weakens its circumferential effect on the concrete. At the same time, due to the bending deformation of the component, the loading on the concrete cross section becomes uneven. This leads to a rapid decrease in the cross-sectional bearing capacity of both steel pipes and concrete, resulting in a decrease in ductility performance of the specimen. Buckling failure prevents the component from reaching its ultimate strength stress state, thereby reducing the impact of initial stress in steel pipes on the bearing performance of the component.
Reinforced concrete components under different concrete materials exhibit load-displacement curves as shown in .
In
Figure 6, during the initial loading stage, the Poisson's ratio of C35 concrete components is higher than that of CFRC concrete components, leading to smaller lateral deformation in CFRC concrete components compared to C35 concrete components. Therefore, in this stage, the load-displacement curve of CFRC concrete components lies below that of C35 concrete components. However, when the concrete components are reloaded, the Poisson's ratio of CFRC concrete components increases rapidly. The load-displacement curve of CFRC concrete components then lies above that of C35 concrete components and continues to rise. In
Figure 7, we can observe the following: In the initial loading stage, the Poisson's ratio of C35 concrete components is higher than that of CRC concrete components.
As a result, the lateral deformation of CRC concrete components is smaller than that of C35 concrete components. Therefore, in this stage, the load-displacement curve of CRC concrete components lies below that of C35 concrete components. In
Figure 8, we can observe the following: In the initial loading stage, the Poisson's ratio of C35 concrete components is higher than that of MC concrete components. As a result, the lateral deformation of MC concrete components is smaller than that of C35 concrete components. Therefore, in this stage, the load-displacement curve of MC concrete components lies below that of C35 concrete components. In
Figure 9, we can observe the following: In the initial loading stage, the Poisson's ratio of C35 concrete components is higher than that of OSWC concrete components. As a result, the lateral deformation of OSWC concrete components is smaller than that of C35 concrete components. Therefore, in this stage, the load-displacement curve of OSWC concrete components lies below that of C35 concrete components. In
Figure 10, we can observe the following: In the initial loading stage, the Poisson's ratio of WTSC concrete components is lower than that of C35 concrete components. As a result, the lateral deformation of WTSC concrete components is smaller than that of C35 concrete components. Therefore, in this stage, the load-displacement curve of WTSC concrete components lies above that of C35 concrete components.
Figure 11,
Figure 12,
Figure 13,
Figure 14 and
Figure 15 shows the longitudinal stress profile of concrete under end-loading conditions. Compared to normal loads, it is evident that specimens with an initial stress state exhibit a higher ultimate longitudinal stress in concrete. This is due to the restraining effect of reinforcing steel on the concrete, leading to an increase in the peak strength of concrete near the steel. This observation indicates that when designing concrete structures, considering the initial stress state and the restraining effect of reinforcing steel is crucial for ensuring structural stability and safety. Therefore, engineers and designers need to fully understand and consider these factors to ensure that the designed concrete structures perform well and reliably in actual use.
Based on the provided data, describing the stress magnitudes and distributions for five different structural schemes: Stress Magnitudes: Among the five schemes, the highest stress is observed in
Figure 15 (0.1016 MPa), which is the WSTC scheme. The lowest stress is in
Figure 12 (0.06044 MPa), which represents the CRC scheme.
Stress Concentration: Across all schemes, the stress concentration areas are similar, generally located at the bending parts of the profile, especially where vertical ribs meet the panel. This indicates that these areas might be the weak points of the structure, suggesting a need for further attention and potential reinforcement.
Stress Distribution: Although the stress concentration areas are consistent, there's a difference in the stress distribution across the schemes:
Figures 11, 13, and 14 show more concentrated stress distribution, indicating that certain localized areas may bear higher stress, raising concerns about potential material fatigue or structural damage.
Figure 12 and
Figure 15 have more even Mises stress distribution, suggesting that these schemes might better distribute stress, potentially indicating a more robust structure.
These analyses could serve as a reference for further structural optimization and design improvements. By comparing the stress magnitudes and distributions across different schemes, it is possible to optimize structural design, reduce stress concentration areas, and ensure safety and reliability.
Based on the provided data, the strain magnitudes, and distributions for five different structural schemes can be described as follows:
Strain Magnitudes:
The highest equivalent strain is found in
Figure 15, with a value of 3.720e-04 meters.
The lowest equivalent strain is in
Figure 12, with a value of 2.181e-04 meters.
The strain magnitudes for the other schemes fall between these two, with
Figure 11 at 2.846e-04 meters,
Figure 4.13 at 2.372e-04 meters, and
Figure 4.14 at 3.010e-04 meters.
Strain Distribution:
Across the five schemes, the distribution of equivalent strain is generally quite uniform. This indicates that strain is relatively evenly distributed within the structures, reducing the risk of localized strain concentration. Such uniform distribution suggests higher structural stability, with lower chances of localized deformation or failure.
Overall, despite differences in strain magnitudes across the schemes, the uniform distribution indicates that these structural designs are relatively robust. The data provide a basis for further analysis and structural optimization to ensure stability and reliability, reducing the potential for strain concentration or localized deformation.