5.1. Total Displacement of Diaphragm Wall
Figure 6 presents the cloud map of the total displacement of the diaphragm wall. Obviously, the total displacement varies at different construction stages. The displacement cloud map presents asymmetric characteristics. This phenomenon is different from the result under symmetrical conditions [
22,
23]. It can be observed that the maximum displacements of stages 1, 3, and 16 are 3.7 mm, 4.7 mm, and 13.3 mm, respectively. The maximum values all occur in the areas subjected to asymmetric loads, and show a continuous downward trend with the increase in the excavation depth. This might be because the deep excavation and supporting structure in this study are in a symmetrical form, while the load is in an asymmetrical form. Under the action of asymmetric loads, the soil body will be compressed. Due to the transmissible nature of force, the soil will exert a force on the adjacent diaphragm wall. Therefore, it shows that the displacement of the diaphragm wall in the area where the load acts is greater. On the contrary, in other areas, the extrusion effect resulting from the appearance of the load is relatively weak [
51,
52]. Therefore, it shows the phenomenon that the displacement of the diaphragm wall in the non-load-action area is relatively small. The maximum horizontal displacement of the diaphragm wall meets the minimum requirements of the current relevant specifications [
34,
35]. This indicates that the design of the supporting structure and the excavation method in this study have a certain degree of reliability.
In order to present the displacement changes in more detail, we extracted the calculation results and drew the curve graph related to the total displacement. It should be noted that representative monitoring points were selected for this study. The specific distribution of the monitoring points is shown in
Figure 4.
Figure 7 illustrates the displacement comparison chart of monitoring point A1.
Figure 7a is the displacement curve graph. Obviously, at different stages, the displacement curves present different characteristics. But, overall, it shows the characteristic of a “bulging belly”. This research conclusion is consistent with reference [
25]. Specifically, in stage 1, the maximum value occurs at the top of the diaphragm wall. This might be because, at this stage, the excavation depth is only 2 m and there is an asymmetric load acting on the soil near A1. Under the action of the load, the top of the diaphragm wall produced the maximum displacement. In addition, it can be found that the position where the maximum value occurs shows a continuous downward trend with excavation. When the excavation is completed, the maximum displacement occurs at −16 m below the surface. By comparison, it can also be found that the displacement at the same horizontal position keeps increasing with the increase in the excavation depth. It is worth noting that, at different construction stages, there was displacement at the top of the diaphragm wall, and it was all close to 4 mm. This also indicates that asymmetric loads have a significant impact on the top displacement of the diaphragm wall.
Figure 7b is a bar chart comparing the maximum displacement. Obviously, the maximum value shows a pattern of “increasing rapidly first and then slowly”. By comparison, it can be found that the maximum increase is the largest at stage 1, which is 3.6 mm. This also indicates that asymmetric loads and excavation had the greatest impact on stage 1. In addition, the maximum displacement occurs at the completion of excavation, which is 13.1 mm. This also indicates that asymmetric loads have a greater impact on the initial excavation of the deep excavation in the load action area, while having a relatively smaller impact on the later excavation of the deep excavation. In addition, excavation is the main factor causing the deformation of the diaphragm wall.
Figure 8 illustrates the displacement comparison chart of monitoring point B1.
Figure 8a is the displacement curve graph. Obviously, at different stages, the displacement curves present different characteristics. But overall, it presents an “S” shape. This is somewhat different from the shape presented in
Figure 7a. Specifically, during the first three stages, the maximum value occurs at the top of the diaphragm wall. This might be because, during these stages, the excavation depth is relatively small and there is no asymmetric load acting on the soil near B1. This is the result of the combined action of excavation and asymmetric loads. In addition, it can be found that the position where the maximum value occurs shows a continuous downward trend with excavation. When the excavation was completed, the maximum displacement also occurred at a position of −16 m below the surface. The position where the maximum value occurs is close to A1 (see
Figure 7 for details). This indicates that asymmetric loads have a relatively small influence on the location where the maximum displacement of the diaphragm wall occurs. Furthermore, the displacement at the same position keeps increasing with the increase in the construction depth of the deep excavation. It is worth noting that, at different construction steps, there is displacement at the top of the diaphragm wall, and the displacement is close to 3 mm. Obviously, the top displacement of B1 is less than that of A1. This also indicates that asymmetric loads have a greater impact on the top displacement of the diaphragm wall in the load action zone.
Figure 8b is a bar chart comparing the maximum displacement. Obviously, the maximum value shows a pattern of “increasing rapidly at first, then decreasing slowly, and then increasing continuously”. By comparison, it can be found that the increase is the largest at stage 1, which is 2.7 mm. This also indicates that asymmetric loads and excavation have had the greatest impact on stage 1. Furthermore, the maximum value occurs when the excavation is completed, with a value of 9.8 mm. By comparison, it can be found that the maximum displacement of A1 is greater, and the difference between the two is 33.7%. This might be because B1 is far from the area where the asymmetric load acts, and thus is relatively less affected. This also indicates that asymmetric loads have a greater impact on the displacement of the diaphragm wall in the load action zone.
Figure 9 illustrates the displacement comparison diagram of monitoring point A2.
Figure 9a is the displacement curve graph. Obviously, at different stages, the displacement curves present different characteristics. But overall, it presents a “bulging belly” shape. The position where the maximum value occurs keeps decreasing as the excavation progresses. When the excavation is completed, the maximum displacement occurs at a position of −16 m below the ground surface. The position where the maximum displacement occurs is close to A1 and B1 (see
Figure 7a for details). This once again indicates that asymmetric loads have a relatively small influence on the location where the maximum displacement of the diaphragm wall occurs upon the completion of excavation. Furthermore, the displacement at the same position keeps increasing with the increase in the construction depth of the deep excavation. It is worth noting that, at different construction steps, there is displacement at the top of the diaphragm wall, and the top displacement is the greatest at step 1. This also indicates that asymmetric loads have the greatest impact on the top displacement of the diaphragm wall at the initial stage of excavation. It is worth noting that the top displacement gradually decreases during the excavation process. This might be because, as can be found from
Figure 9a, as the excavation depth increases, the displacement of the diaphragm wall gradually increases. In order to maintain deformation coordination, the top displacement of the supporting structure gradually decreases during the excavation process. This also verifies the reliability of the model established in this study from another aspect.
Figure 9b is a bar chart comparing the maximum displacement. Obviously, the maximum value shows a pattern of “increasing rapidly first and then slowly”. The increase was the largest in stage 1, which was 2.5 mm. This also indicates that asymmetric loads and excavation have the greatest influence on stage 1. By comparison, it can be found that, at stage 1, the maximum displacement of A1 is 44% greater than that of A2. Furthermore, the maximum displacement occurred when the excavation was completed, which was 11.7 mm. When the excavation is completed, the maximum displacement of A1 is 12% greater than that of A2. This might be because A1 and A2 are in different positions. Therefore, the influence of asymmetric loads on them is also different.
Figure 10 presents the displacement comparison diagram of monitoring point B2.
Figure 10a is the displacement curve graph. Obviously, at different stages, the characteristics presented by the displacement curve are also different. But overall, it presents a “bulging belly” shape. It can be found that the position where the maximum value occurs continuously decreases with the excavation. When the excavation is completed, the maximum displacement occurs at a position of −16 m below the ground surface. The location where the maximum displacement occurs is close to the area where the asymmetric load acts (see
Figure 7a for details). This once again indicates that asymmetric loads have a relatively small influence on the location where the maximum displacement of the diaphragm wall occurs. Furthermore, the displacement at the same position keeps increasing with the increase in the construction depth of the deep excavation. It is worth noting that, at different construction steps, there is displacement at the top of the diaphragm wall, and the top displacement is the greatest at step 1. This also indicates that asymmetric loads have the greatest impact on the top displacement of diaphragm wall at the initial stage of excavation. It is worth noting that the top displacement gradually decreases during the excavation process. The reason is the same as that in
Figure 9a. Obviously, the top displacement of B2 is less than that of B1. This might be because B2 is farther away from the asymmetric load. Therefore, the influence of asymmetric loads is smaller. This also indicates that the influence of asymmetric loads on the displacement of the diaphragm wall weakens with the increase in distance.
Figure 10b is a bar chart comparing the maximum displacement. Obviously, the maximum value shows a pattern of “increasing rapidly first and then continuously”. By comparison, it can be found that the maximum increase is the largest at stage 1, which is 1.7 mm. This also indicates that asymmetric loads and excavation have had the greatest impact on stage 1. Furthermore, the maximum displacement occurred when the excavation was completed, which was 10.8 mm. By comparison, it can be found that, at stage 1, the maximum displacement of B1 is 59% greater than that of B2. This might be because B2 is farther from the area where the asymmetric load acts, and thus is relatively less affected. It is worth noting that the maximum displacement of B2 at the completion of excavation is 10.2% greater than that of B1. This also reflects the complexity of the mechanical performance of circular deep excavation support structures under asymmetric loads.
Figure 11 is a comparison chart of the displacement of monitoring point O.
Figure 11a is the displacement curve graph. Obviously, at different stages, the displacement curves present different characteristics. But overall, it presents a “bulging belly” shape. It can be found that the position where the maximum value occurs continuously decreases with the excavation. When the excavation is completed, the maximum displacement occurs at a position of −16 m below the ground surface. The location where the maximum displacement occurs is close to the area where the asymmetric load acts (see
Figure 7a for details). Furthermore, the displacement at the same position keeps increasing with the increase in the construction depth of the deep excavation. It is worth noting that, at different construction steps, there is displacement at the top of the diaphragm wall, and the top displacement is the greatest at step 1. This also indicates that asymmetric loads have the greatest impact on the top displacement of diaphragm wall at the initial stage of excavation. It is worth noting that the top displacement gradually decreases during the excavation process. The reason is the same as that in
Figure 9a.
Figure 11b is a bar chart comparing the maximum displacement. Obviously, the maximum value shows a pattern of “increasing rapidly first and then slowly”. By comparison, it can be found that the maximum increase is the largest at stage 1, which is 2.1 mm. This also indicates that asymmetric loads and excavation have had the greatest impact on stage 1. Furthermore, the maximum displacement occurs when the excavation is completed, which is 11.2 mm. This also indicates that asymmetric loads have a greater impact on the initial construction of the deep excavation in the load action area, while having a relatively smaller impact on the later construction of the deep excavation.
Figure 12 illustrates the comparison of the diaphragm wall displacement.
Figure 12a presents the comparison curve of the total displacement. Obviously, when the excavation is completed, the displacements of different monitoring points of the diaphragm wall are not the same. The displacement curve of monitoring point A1 shows an “S” feature, while the other monitoring points all show a “belly bulge” feature. This also indicates the complexity of the influence of an asymmetric load on the excavation of circular deep excavations. It can also be found that, at the same position, the order of displacement from largest to smallest is A1, A2, O, B2, and B1. Obviously, the maximum displacements at different monitoring points are different. This once again verifies that the circular diaphragm wall is a three-dimensional spatial structure, and its analysis and calculation is a complex three-dimensional spatial problem [
25]. This might be because A1 and A2 are located in the asymmetric load action zone, the O displacement is located in the transition zone, while B1 and B2 are located in the non-load-action zone. The reason why the displacement A2 < A1 might be that, as can be seen from
Figure 4, although both A2 and A1 are located in the area directly affected by asymmetric loads, their positions are not the same. Observation reveals that the area of action of asymmetric loads on A1 is larger, while that on A2 is relatively smaller. From the relevant knowledge of structural mechanics, it can be known that the action effect of uniformly distributed loads is positively correlated with the action area of uniformly distributed loads. Therefore, the larger the area where the uniformly distributed load acts, the greater the load effect it generates, which in turn leads to a greater impact on A1, and thus shows the phenomenon that the displacement A2 < A1. Furthermore, the reason why the displacement B1 < B2 might be that, as can be seen from
Figure 4, although neither B2 nor B1 is in the direct action area of the asymmetric load, their positions are not the same. Under the action of asymmetric load, the diaphragm wall in the load area has a tendency to deform towards the inside of the deep excavation, and the diaphragm wall is connected with the ring beam, so the ring beam will also move towards the inside of the deep excavation. This kind of movement deformation will cause the displacement far from the area affected by asymmetric loads to be suppressed, and this suppression effect decreases as the distance from the asymmetric action area increases. Obviously, B1 is closer to the area where the asymmetric load acts, so the phenomenon of displacement B1 < B2 occurs. This once again indicates that the influence of asymmetric loads on the diaphragm wall has a spatial effect, and the impact of asymmetric loads is greater.
Figure 12b is a comparison chart of the maximum displacement when the excavation is completed. Obviously, the maximum displacements of different monitoring points vary, presenting a characteristic of “fluctuating changes”. The maximum value appears in A1, with a value of 13.1 mm. The minimum value appears in B1, with a value of 9.8 mm. The reason is the same as that in
Figure 12a.
To sum up, the circular diaphragm wall is a three-dimensional spatial structure, and its analysis and calculation is a complex three-dimensional spatial problem. Asymmetric loads have a significant impact on the initial construction of the deep excavation in the load action area, while having a relatively small impact on the later construction of the deep excavation. Excavation is the main factor for the deformation of the diaphragm wall. The maximum displacement occurs when the excavation is completed. Under the action of asymmetric loads, both the internal force and displacement cloud diagrams of the supporting structure present asymmetric characteristics. The displacement distribution has a spatial effect, and the maximum values all occur in the areas where asymmetric loads act. The total displacement of the diaphragm wall increases with the increase in the excavation depth. The total displacement curves all exhibit the feature of “belly bulge”. Therefore, during the design and construction, it is not only necessary to pay attention to the influence of asymmetric loads on excavation, but also to optimize the excavation conditions and support structure to minimize the adverse effects of asymmetric loads and excavation on the deep excavation as much as possible.
5.2. Axial Force of Diaphragm Wall
Figure 13 illustrates the axial force cloud diagram of the diaphragm wall in the XX direction. In this study, the vibrating chord-type axial force (model: BGK-4900, manufacturer: Jikang Instrument (Beijing) Co., Ltd, Beijing, China.) meter was used to measure the axial force of the diaphragm wall. Obviously, the axial force varies at different construction stages. The axial force cloud pattern presents an asymmetric characteristic. This phenomenon is somewhat different from the result under symmetrical conditions [
22,
23]. Observation reveals that the maximum axial forces in stages 1, 3, and 16 are −1675 kN/m, −2621 kN/m, and −9514 kN/m, respectively. The maximum value occurs in the area subjected to asymmetric loads and shows a continuous downward trend as the construction stage increases. This might be because the deep excavation and supporting structure in this study are symmetrically designed, while the load is in an asymmetrical form. Under the action of load, the soil body will be compressed. Due to the force transfer, the soil will exert force on the adjacent diaphragm wall, thus showing that the axial force generated by the load area is larger. On the contrary, in other non-load-affected areas, the extrusion effect caused by the appearance of the load is relatively weak. Therefore, it shows the phenomenon that the axial force in the non-load-action area is relatively small.
Figure 14 presents the bar chart of axial force comparison.
Figure 14a is the comparison chart of the maximum values. Obviously, at different excavation stages, the axial force values also vary, showing the characteristic of “increasing rapidly at first and then slowly”. The maximum axial forces are all negative, which indicates that, during the excavation process, the axial forces generated by the diaphragm wall are mainly pressure. This is mainly because the excavation causes the loss of soil inside the deep excavation. Therefore, under the action of surface loads and earth pressure, the diaphragm wall has a tendency to deform towards the interior of the deep excavation. Due to the supporting effect of the cap beam on the top of the diaphragm wall, the deformation of the top is suppressed. Therefore, it is manifested that the axial force generated by the diaphragm wall is mainly pressure. The conclusion of this study is consistent with the references [
22,
23]. By comparison, it can be found that the maximum increase is the largest in stage 1, which is 1675 kN/m. This also indicates that the asymmetric load and excavation have the greatest impact on the axial force in stage 1. Furthermore, the maximum axial force occurs when the excavation is completed, which is −9514 kN/m. This also indicates that asymmetric loads have a greater impact on the initial construction of the deep excavation in the load action area, while having a relatively smaller impact on the later construction of the deep excavation.
Figure 14b is a comparison chart of the minimum axial force. Obviously, at different excavation stages, the axial force values also vary, showing the characteristic of “first increasing, then decreasing, and then increasing again”. The minimum axial force values from stages 2 to 8 are negative, indicating that the diaphragm walls are all compressed in these stages. It is worth noting that the minimum axial force values in other stages are positive, indicating that there are tensile parts in the diaphragm wall at this stage. This might be due to the influence caused by the emergence of asymmetric loads.
In summary, the axial force cloud diagram of the diaphragm wall shows asymmetric characteristics. The axial force is mainly compression. The maximum value increases with the increase in the excavation depth. The maximum value occurs in the area subjected to asymmetric loads and shows a continuous downward trend as the construction stage increases. Conversely, pulling forces may also occur in other areas, but the values are relatively small. Therefore, in the design and construction, it is not only necessary to consider the state of the diaphragm wall under compression, but also to grasp the tension area in time through simulation and monitoring. When necessary, measures should be taken to reduce the adverse effects of tensile force on deep excavation; for example, more longitudinal force-bearing reinforcing bars configured on the tensile side to enhance the tensile capacity; increase the thickness of the diaphragm wall or deepen the embedded section.
5.3. Bending Moment of Diaphragm Wall
Figure 15 presents the bending moment cloud diagram of the diaphragm wall in the YY direction. Obviously, the bending moment varies at different construction stages. The bending moment cloud diagram presents an asymmetric characteristic. This phenomenon is somewhat different from the result under symmetrical conditions [
25]. The bending moment values can be positive or negative, which indicates that some parts of the diaphragm wall are under tension while others are under compression. It can be observed that the maximum normal bending moments of stages 1, 3, and 16 are 189.5 kN·m/m, 286.7 kN·m/m, and 1509.4 kN·m/m, respectively. The maximum negative bending moments are −192.2 kN·m/m, −278 kN·m/m, and −2394.3 kN·m/m, respectively. The maximum values all occur in the areas where asymmetric loads act, and show a continuous downward trend with the increase in construction stages. This might be because the deep excavation and supporting structure in this study are symmetrically designed, while the load is in an asymmetrical form. Under the action of load, the soil body will be compressed. Due to the transitability of force, the soil will exert a force on the adjacent diaphragm wall, thus showing that the bending moment generated in the load-acting area is greater. On the contrary, in other non-load-affected areas, the extrusion effect caused by the appearance of the load is relatively weak. Therefore, it shows the phenomenon that the bending moment in the non-load-action area is relatively small.
Figure 16 illustrates the bar chart of bending moment comparison.
Figure 16a is a comparison chart of the maximum normal bending moment. Obviously, at different excavation stages, the bending moment values also vary, showing the feature of “increasing first and then decreasing”. The maximum normal bending moment occurs at stage 12. This phenomenon is different from the result under symmetrical loading [
22,
23]. This might be the effect produced under the action of asymmetric loads. By comparison, it can be found that the maximum increase is the largest at stage 1, with an increase of 189.5 kN·m/m. This also indicates that the asymmetric load and excavation have the greatest impact on the maximum normal bending moment in stage 1.
Figure 16b is a comparison chart of the maximum negative bending moment. Obviously, at different excavation stages, the bending moment values also vary, showing the characteristic of “slowly increasing at first and then rapidly increasing”. The maximum value occurred when the excavation was completed, which was −2394.3 kN·m/m. It can also be found that the increase in working conditions 14, 15, and 16 are relatively large. The maximum increase occurs in working condition 15, with an increase of 376 kN·m/m. This indicates that the construction of the last three stages has the greatest impact on the maximum negative bending moment. Furthermore, it can be found that the maximum positive and negative values of the bending moment are 1509.4 kN·m/m and −2394.3 kN·m/m, respectively. Obviously, the absolute value of the maximum negative bending moment is larger, with a difference of 59% between the two. This indicates that the maximum bending moment generated during the excavation process is negative. Therefore, during the design and construction phases, it is necessary to pay close attention to the areas where the diaphragm wall experiences the maximum negative bending moment. If necessary, measures can be taken to reduce the adverse impact of excavation on the supporting structure.
In order to present the variation in the bending moment of the diaphragm wall in more detail, we extracted the calculation results and drew the curve graph related to the bending moment. It should be noted that representative monitoring points were selected for this study. The specific distribution of the monitoring points is shown in
Figure 4.
Figure 17 presents the comparison curve of bending moments of the diaphragm wall.
Figure 17a–e illustrate the bending moment curves at different monitoring points. It can be seen that, although the bending moment values at different monitoring points may vary, they generally present a “bow knot” feature. The normal bending moment mainly occurs within the range of 0 to −22 m, with the maximum value at the position of −20 m. The negative bending moment is mainly concentrated within the range of −22 m to −35 m. The maximum value occurs at the position of −30 m. It is worth noting that the bending moment values at the top of the diaphragm wall and within the range of −35 m to −40 m are 0. This indicates that the design of the supporting structure in this study is reasonable.
Figure 17f illustrates the comparison curve of bending moments at different monitoring points when the excavation is completed. It can be seen that the maximum normal bending moments, from largest to smallest are A1, A2, B1, B2, and O. The difference is that the absolute values of the maximum negative bending moment, from largest to smallest, are O, A1, A2, B2, and B1. It can be observed that the sequence of the maximum positive and negative bending moment from largest to smallest is not the same.
Figure 18 illustrates the bending moment comparison bar chart of the diaphragm wall.
Figure 18a shows the comparison of the maximum normal bending moments at different monitoring points when the excavation is completed. It can be seen that different monitoring points result in different bending moment values. The maximum positive values of A1, B1, A2, B2, and O are, respectively, 1500 kN·m/m, 1409 kN·m/m, 1481 kN·m/m, 1418 kN·m/m, and 1195 kN·m/m. Obviously, the value of A1 is the largest and that of O is the smallest, with a difference of 26% between the two. This indicates that excavation under asymmetric loading has the greatest impact on monitoring point A1.
Figure 18b presents the comparison of the maximum negative bending moments at different monitoring points when the excavation is completed. It can be seen that different monitoring points result in different bending moment values. The maximum negative values of A1, B1, A2, B2, and O are, respectively, −1349 kN·m/m, −1096 kN·m/m, −1247 kN·m/m, −1162 kN·m/m, and −1502 kN·m/m. Obviously, the value of O is the largest and that of B1 is the smallest, with a difference of 37% between the two. This indicates that excavation under asymmetric loading has the greatest impact on monitoring point O. In conclusion, excavation under asymmetric loads has the greatest impact on monitoring points A1 and O, which requires attention during design and construction. This once again verifies that the circular diaphragm wall is a three-dimensional spatial structure, and its analysis and calculation is a complex three-dimensional spatial problem [
25]. If solved as a planar problem without considering the three-dimensional force and deformation characteristics brought by the spatial effect of the circular retaining wall, the research results may have significant limitations [
33,
35,
48].
To sum up, the bending moment varies at different construction stages. The bending moment cloud diagram presents an asymmetric characteristic. The bending moment values can be positive or negative, which indicates that some parts of the diaphragm wall are under tension while others are under compression. The maximum values all occur in the areas where asymmetric loads act, and show a continuous downward trend with the increase in construction stages. The order of the maximum positive bending moment and negative bending moment from largest to smallest is not the same. The bending moment graphs of different monitoring points all present the feature of a “bow knot”. The circular diaphragm wall is a three-dimensional spatial structure, and its analysis and calculation is a complex three-dimensional spatial problem. Therefore, it is necessary to consider the three-dimensional force and deformation characteristics brought by the spatial effect of the circular diaphragm wall, thereby enhancing the reliability of the research results.
5.5. Supporting Structure Axial Force
Figure 21 shows the axial force cloud diagram of the ring beam. Obviously, the axial force varies at different construction stages. The axial force cloud pattern presents an asymmetric characteristic. Observation reveals that the maximum axial forces in stages 1, 3, and 16 are −2140 kN, −3096 kN, and −5360 kN, respectively. The maximum values of stages 1 and 3 both occur in ring beam 1, and the maximum value of stage 16 occurs in ring beam 4. The minimum axial forces are 197 kN, −610 kN, and 1179 kN, respectively. The minimum values all occur in the areas where there is no load on ring beam 1. Furthermore, the maximum values of the first five stages all occur in the areas where asymmetric loads act, while the maximum values of the other stages occur in other areas. This indicates that the influence of asymmetric loads on the axial force of ring beams weakens with the increase in the excavation depth. It is worth noting that, when the excavation is completed, the axial forces of ring beams 3, 4, and 5 are relatively the greatest, all approaching −5360 kN. Therefore, ring beams 3, 4, and 5 are the objects that need to be focused on during the construction process. It can also be seen that the internal forces of the ring beam are not all compression in the non-load-action zone; in some stages, they are tension. This phenomenon also requires the attention of design and construction. As can be seen from
Figure 21, the part where tensile force occurs is mainly the area of ring beam 1, far from the asymmetric load action zone. The reason for the occurrence of tensile force might be that, under the action of asymmetric load, the ring beam in the load action zone is compressed, and there is a tendency for it to deform towards the interior of the foundation pit, which in turn causes pressure on the ring beam in this area. Due to the distance between the acting force and the reaction force, the ring beam in the asymmetric load action zone will exert a force on the ring beam far from the load action zone. Under the action of this force, it may cause tension in the ring beam. In addition, it can be seen that the excavation has a relatively significant impact on the axial force of ring beams 1 to 6. The following text will conduct a detailed analysis and study.
Figure 22 presents the axial force comparison bar graph of the ring beam.
Figure 22a is a comparison chart of the maximum axial force. Obviously, at different stages, the axial force values are different, presenting the characteristics of “first increasing rapidly, then decreasing, and finally increasing slowly”. The maximum value occurs when the excavation is completed. The maximum axial forces are all negative, which indicates that the axial force of the ring beam is mainly compression. By comparison, it can be found that the increase is the largest in stage 1, which is 2140 kN. This also indicates that the asymmetric load and excavation have the greatest impact on the axial force in stage 1.
Figure 22b is a comparison chart of the minimum axial force. At different excavation stages, the axial force values are also different, showing the characteristics of “first increasing, then decreasing, and then increasing again”. The maximum value also occurs when the excavation is completed. The minimum values can be both positive and negative, which indicates that, in addition to being compressed, some areas of the ring beam are also under tension. It can also be found that the maximum increase occurs in stage 4, which is 540 kN. This indicates that the construction in stage 4 has the greatest impact on the axial force. Furthermore, it can be found that the maximum and minimum values of the axial force are −5360 kN and 1179 kN/m, respectively. This indicates that the axial force generated during the excavation process is mainly compression. To sum up, the axial force of the ring beam during the excavation process is mainly compression. The increase in axial force is the greatest in stages 1 and 4, which requires attention in design and construction.
Figure 23 illustrates the comparison of axial forces between ring beam 1 and 2.
Figure 23a shows the comparison of the maximum axial force of the ring beam 1. Obviously, the axial force value varies at different stages, showing the characteristic of “increasing rapidly first and then decreasing”. The maximum axial force occurs in stage 5, with a value of −3648 kN. The maximum axial forces are all negative, which indicates that the axial force of ring beam 1 is mainly compression. By comparison, it can be found that the increase is the largest in stage 1, which is 2140 kN. This also indicates that the asymmetric load and excavation have the greatest impact on the axial force in stage 1.
Figure 23b presents the comparison of the maximum axial forces of ring beam 2. Obviously, the axial force values vary at different construction stages, showing the characteristic of “first increasing and then tending to stabilize”. The maximum value also occurs in stage 9, with a value of −2949 kN. The maximum values are all negative, which indicates that ring beam 2 is mainly under compression. It can also be found that the maximum increase occurs in stage 4, which is 791 kN. This indicates that the construction in stage 4 has the greatest impact on the axial force. To sum up, the axial force of ring beams 1 and 2 during the excavation process is mainly compression. The increase in axial force is the greatest in stages 1 and 4, which requires attention in design and construction.
Figure 24 presents the axial force comparison diagram of ring beam 3 and 4.
Figure 24a illustrates the comparison diagram of the maximum axial force of ring beam 3. Obviously, the axial force value varies at different stages, showing the characteristic of “increasing rapidly at first and then tending to stabilize”. The maximum axial force occurs at stage 14, with a value of −4537 kN. The maximum axial forces are all negative, which indicates that the axial force of ring beam 3 is mainly compression. By comparison, it can be found that the increase is the largest at stage 5, with a value of 1102 kN. This also indicates that the asymmetric load and excavation have the greatest impact on the axial force in stage 5.
Figure 24b shows the comparison of the maximum axial forces of ring beam 4. Obviously, at different stages, the axial force values also vary, showing the characteristic of “increasing rapidly at first and then slowly”. The maximum value also occurs when the excavation is completed, with a value of −5360 kN. The maximum values are all negative, which indicates that ring beam 4 is mainly under compression. It can also be found that the maximum increase occurs in stage 7, with a value of 1530 kN. This indicates that the construction in stage 7 has the greatest impact on the axial force. To sum up, the axial force of ring beams 3 and 4 during the excavation process is mainly compression. The increase in axial force is the greatest at stages 5 and 7, which requires attention in design and construction.
Figure 25 illustrates the comparison of the axial forces of ring beams 5 and 6.
Figure 25a shows the comparison diagram of the maximum axial force of ring beam 5. Obviously, the axial force value varies at different stages, showing the characteristic of “increasing rapidly at first and then slowly”. The maximum axial force occurred when the excavation was completed, with a value of −4679 kN. The maximum axial forces are all negative, which indicates that the axial force of ring beam 5 is mainly compression. By comparison, it can be found that the increase is the largest at stage 9, with a value of 1500 kN. This also indicates that the asymmetric load and excavation have the greatest impact on the maximum axial force in stage 9.
Figure 25b presents the comparison diagram of the maximum axial force of ring beam 6. Obviously, the axial force value varies at different stages, showing the characteristic of “increasing rapidly at first and then slowly”. The maximum value also occurred when the excavation was completed, with a value of −3752 kN. The maximum values are all negative, which indicates that ring beam 6 is mainly under compression. It can also be found that the maximum increase occurs in stage 11, which is 1530 kN. This indicates that the construction in stage 11 has the greatest impact on the axial force. To sum up, the axial force of ring beams 5 and 6 during the excavation process is mainly compression. The increase in axial force is the greatest at stages 9 and 11, which requires attention in design and construction.
To sum up, the axial force varies at different construction stages. The axial force of the ring beam is mainly compression, and the maximum compression generally shows the characteristic of “constantly increasing” with the increase in the excavation depth. The axial force cloud pattern presents an asymmetric characteristic. The maximum values of the first five stages all occur in the area where the asymmetric load acts, and the maximum values of the other stages occur in other areas. When the excavation is completed, the axial forces of ring beams 3, 4, and 5 are relatively maximum. Ring beams 3, 4, and 5 are the objects that need to be given special attention during the construction process. The internal forces of the ring beam are not all compression in the non-load-action zone; tensile forces may also occur in some stages. This phenomenon also requires the attention of design and construction.