A Method for Analyzing the Overturning Resistance of a Temporarily Consolidated Composite System of Cantilevered Continuous Beams

Abstract

This invention discloses a method for analyzing the overturning resistance of a temporarily consolidated composite system of a cantilevered continuous beam. The method includes: determining a simplified mechanical model based on the actual structure of the system; performing decomposition and force analysis on the simplified mechanical model to obtain the composite force and the unbalanced moment related to the composite force; calculating the first relevant reaction force data of the temporarily consolidated composite system when the composite force acts alone, and the second relevant reaction force data when the unbalanced moment acts alone, thereby obtaining the true reaction force of each component in the system; and using the true reaction force of each component to perform stability and strength analysis to obtain the analysis results. This invention solves the problems of existing methods for analyzing the overturning resistance of temporarily consolidated composite systems failing to align with engineering realities, and the design resistance being greater than the actual resistance, resulting in non-conservative calculation results.

Description

Technical Field

[0001] This invention relates to the field of bridge engineering technology, specifically to a method for analyzing the overturning resistance of a temporary consolidation composite system for cantilevered continuous beams. Background Technology

[0002] Continuous beam bridges are a very common type of bridge, consisting of a beam spanning three or more supports as the main load-bearing structure. When a load is applied to the beam, a large negative bending moment is generated at the supports, which unloads the positive bending moment at mid-span. This characteristic leads to the design of a higher beam height at the supports and a lower beam height at mid-span in continuous beam bridges, resulting in a graceful parabolic shape for the beam.

[0003] There are various construction methods for continuous beam bridges. When encountering situations such as high piers or bridges needing to cross existing railway lines or other obstacles, the ground-supported scaffolding method is no longer practical. Instead, symmetrical cantilever construction using formwork is often employed. In continuous beam bridges, the main beams are hinged to the piers upon completion. However, when using formwork for symmetrical cantilever construction, the piers and beams must first be temporarily fixed to prevent the beams from overturning or falling due to unbalanced loads. Furthermore, the temporary pier-beam fixing system is the only structure used to resist beam overturning, making the verification of its load-bearing capacity and overturning resistance crucial.

[0004] Common pier-beam consolidation measures often involve symmetrically designing reinforced concrete temporary consolidation supports at the top of the pier column to secure it to the beam, or placing temporary consolidation supports at the pier top and then designing a row of external steel supports on both sides of the pier column, forming a temporary consolidation system to connect the pier column and beam as a whole. Literature review reveals limited research on the latter type of temporary consolidation system. Furthermore, most studies on this type of consolidation system employ calculation methods that do not align with actual engineering conditions, simplistically assuming that the resistance of the consolidation system is simply the sum of the resistance provided by each component upon yielding. In reality, while temporary consolidation supports and external steel supports undergo coordinated deformation during beam deflection, due to material differences, the components do not yield and fail simultaneously. Therefore, the aforementioned analysis methods for the overturning resistance of temporary consolidation systems for piers and beams are not consistent with engineering practice, and the calculation results, which are not conservative, offer little guidance for actual on-site construction. Summary of the Invention

[0005] The purpose of this invention is to provide a method for analyzing the overturning resistance of a temporary consolidated composite system of a cantilevered continuous beam, in order to solve the problems that the existing approach to overturning resistance analysis of temporary consolidated composite systems cannot fit the actual engineering situation, and that the design resistance is greater than the actual resistance, resulting in non-conservative calculation results.

[0006] The technical solution of the present invention to solve the above-mentioned technical problems is as follows:

[0007] This invention provides a method for analyzing the overturning resistance of a temporarily consolidated composite system of cantilevered continuous beams. The method includes:

[0008] S1: Determine its simplified mechanical model based on the actual structure of the temporary consolidation combination system of the cantilever continuous beam;

[0009] S2: Perform decomposition and force analysis on the simplified mechanical model to obtain the composite force and the unbalanced torque related to the composite force;

[0010] S3: Calculate the first relevant reaction force data of the temporary consolidated composite system of the cantilever continuous beam when the composite force acts alone, and the second relevant reaction force data of the temporary consolidated composite system of the cantilever continuous beam when the unbalanced moment acts alone;

[0011] S4: Based on the first relevant reaction force data and the second relevant reaction force data, obtain the actual reaction force of each component in the temporary consolidation combination system of the cantilever continuous beam;

[0012] S5: Perform stability and strength analysis using the actual reaction forces of each component to obtain the analysis results.

[0013] Alternatively, in step S1, the simplified mechanical model of the temporary consolidation system of the cantilever continuous beam includes the beam body and a first steel support, a second steel support, a first temporary consolidation support, and a second temporary consolidation support located below the beam body. The first steel support and the second steel support are located between the first temporary consolidation support and the second temporary consolidation support, and the lengths of the first steel support and the second steel support are equal, as are the lengths of the first temporary consolidation support and the second temporary consolidation support.

[0014] Alternatively, the composite force may include the beam's own weight and unbalanced moment;

[0015] The first relevant reaction force data of the temporary consolidated composite system of the cantilever continuous beam when the composite force acts alone includes the reaction force of the temporary consolidated support and the reaction force of the steel support when the composite force acts alone. The reaction force R of the temporary consolidated support when the composite force acts alone... W+N for:

[0016]

[0017] The reaction force F of the steel support when the composite force acts alone W+N for:

[0018]

[0019] Where K0 represents the stiffness of the temporary consolidated support, Δ W Δ represents the deformation of the temporary fixed support / steel brace under the beam's self-weight W. N This indicates the deformation of the temporary fixed support / steel brace under the action of a vertical unbalanced force N, and K1 represents the stiffness of the steel support, W represents the self-weight of the beam, and N represents the vertical unbalanced force.

[0020] Optionally, the second relevant reaction force data of the temporary consolidation combination system of the cantilever continuous beam when the unbalanced moment acts alone includes the reaction force of the first temporary consolidation support, the reaction force of the second temporary consolidation support, the reaction force of the first steel support, and the reaction force of the second steel support;

[0021] The reaction force R of the first temporary consolidation support M1 for:

[0022]

[0023] The reaction force R of the second temporary consolidation support M2 for:

[0024]

[0025] The first steel support reaction force F M1 for:

[0026]

[0027] The second steel support reaction force F M2 for:

[0028]

[0029] Among them, M e The unbalanced moment is represented by K0 and K2, where K0 and K2 both represent the stiffness of the temporary fixed supports, L1 represents the distance between the two temporary fixed supports, and x represents the beam under the unbalanced moment M. e The offset of its deflection center under the action, K1 represents the stiffness of the steel support, and L2 represents the distance between the first temporary consolidation support and the first steel support / the distance between the second temporary consolidation support and the second steel support.

[0030] Alternatively, the unbalanced torque M e for:

[0031]

[0032] Where L1 represents the distance between the two temporary fixed supports, and x represents the beam under unbalanced moment M. eThe offset of its deflection center under the action, K1 represents the stiffness of the steel support, L2 represents the distance between the first temporary fixed support and the first steel support / the distance between the second temporary fixed support and the second steel support, R M1 R represents the reaction force at the first temporary fixed support. M2 F represents the reaction force at the second temporary consolidated support. M1 F represents the reaction force of the first steel support. M2 This indicates the reaction force of the second steel support.

[0033] Alternatively, the actual reaction forces of each component include the actual reaction forces of the first steel support, the second steel support, the first temporary consolidation support, and the second temporary consolidation support.

[0034] Alternatively, the true reaction force F1 of the first steel support is:

[0035] F1 = F W+N +F M1

[0036] The true reaction force F2 of the second steel support is:

[0037] F2 = F W+N -F M2

[0038] The true reaction force R1 of the first temporary consolidation support is:

[0039] R1 = R W+N +R M1

[0040] The actual reaction force of the second temporary consolidated support is:

[0041] R2 = R W+N -R M2

[0042] Among them, F W+N F represents the reaction force of the steel support when the composite force acts alone. M1 F represents the reaction force of the first steel support. M2 R represents the reaction force of the second steel support. W+N R represents the reaction force of a temporary consolidated support when the combined force acts alone. M1 R represents the reaction force at the first temporary fixed support. M2 This indicates the reaction force of the second temporary consolidated support.

[0043] Alternatively, step S5 may include:

[0044] Stability analysis was performed using the stability analysis formula, and the first analysis result was obtained.

[0045] The stress of each component is obtained based on the actual reaction force of each component;

[0046] Strength analysis was performed using the strength analysis formula to obtain the second analysis result;

[0047] The analysis results are obtained based on the first analysis results and the second analysis results.

[0048] Alternatively, the stability analysis formula is:

[0049] or

[0050]

[0051] Among them, F i R represents the true reaction force of the steel support, where i = 1, 2. i F represents the true reaction force of the temporarily fixed support, where i = 1, 2. cr π represents the critical force, E represents the elastic modulus of the component material, I represents the moment of inertia of the component section, μ represents the length coefficient, and l represents the calculated length of the component.

[0052] Alternatively, the strength analysis formula is:

[0053] or

[0054]

[0055] Where, σ i It means that F i R represents the true reaction force of the steel support, where i = 1, 2. i Denotes the true reaction force of the temporarily fixed support, where i = 1, 2, A i [σ] represents the cross-sectional area of ​​the component, and [σ] represents the allowable stress.

[0056] The present invention has the following beneficial effects:

[0057] (1) This invention is based on clarifying the bearing mechanism of the temporary fixed combination system of continuous beam bridge under arbitrary unbalanced load. The method is clear and straightforward, the calculation process is well connected and consistent with the bearing mechanism, and the calculation process is simple.

[0058] (2) This invention is more in line with actual engineering conditions. It takes into account the coordinated deformation of each component in such temporary pier-beam consolidation system, as well as the differences in their own material properties. It also specifically analyzes the specific stress state of each component under any unbalanced load before conducting anti-overturning analysis, which can greatly improve the accuracy of analysis.

[0059] (3) This invention can both verify and check the resistance of the pier-beam consolidation system, and conversely guide the design of the temporary consolidation system. After integrating the two, the data can be input into a computer to make a calculator or a small program can be developed to calculate the resistance. By simply changing the corresponding parameters, it can be determined whether the current temporary consolidation combination system is safe and reliable, which is very convenient and practical.

[0060] (4) The calculation method proposed in this invention provides a reference for actual engineering and has guiding significance for the design and construction of continuous beam pier-beam consolidation system. Attached Figure Description

[0061] Figure 1 The flowchart of the method for analyzing the overturning resistance of the temporary consolidated composite system of cantilevered continuous beams of the present invention. Figure 1 ;

[0062] Figure 2 The process for assessing the overturning resistance of a temporary consolidated composite system for cantilevered continuous beams. Figure 2 ;

[0063] Figure 3 The actual structural diagram of the temporary fixed-structure combination system for cantilever continuous beams;

[0064] Figure 4 To simplify the mechanical model diagram;

[0065] Figure 5 A breakdown diagram of the model;

[0066] Figure 6 A simplified mechanical model diagram of a temporary consolidated composite system of a cantilevered continuous beam under the action of an unbalanced moment alone. Detailed Implementation

[0067] The principles and features of the present invention are described below with reference to the accompanying drawings. The examples given are only for explaining the present invention and are not intended to limit the scope of the present invention.

[0068] This invention provides a method for analyzing the overturning resistance of a temporary consolidated composite system of cantilevered continuous beams, with reference to... Figure 1 and Figure 2 As shown, the method for analyzing the overturning resistance of the temporary consolidated composite system of the cantilevered continuous beam includes:

[0069] S1: Determine its simplified mechanical model based on the actual structure of the temporary consolidation combination system of the cantilever continuous beam;

[0070] Actual structural reference for the temporary fixed combination system of cantilever continuous beam Figure 3 As shown, to facilitate anti-overturning analysis, this invention simplifies it as follows: Figure 4The simplified mechanical model shown includes a beam and a first steel support, a second steel support, a first temporary consolidation support, and a second temporary consolidation support located below the beam. The first steel support and the second steel support are located between the first temporary consolidation support and the second temporary consolidation support, and the lengths of the first steel support and the second steel support are equal. The lengths of the first temporary consolidation support and the second temporary consolidation support are also equal.

[0071] Assuming the beam has infinite stiffness, the tensile and compressive stiffness of the temporary fixed supports is K0 or K2, and the tensile and compressive stiffness of the steel supports on both sides of the pier column is K1. In this type of pier-beam temporary fixed combination system, the tensile and compressive stiffness of the external steel supports is consistent, while the temporary fixed supports at the top of the pier are generally designed as reinforced concrete supports. Because the tensile strength of concrete is much lower than its compressive strength, its tensile effect is basically not considered in the design. Therefore, when a certain temporary fixed support is under tension, only the tensile effect of the steel reinforcement inside the temporary fixed support should be considered. Thus, the tensile and compressive stiffness of the reinforced concrete temporary fixed supports are not equal. This means that during construction, as the unbalanced load increases, when a support on one side changes from compression to tension, its stiffness will change abruptly from K0 to K2.

[0072] S2: Perform decomposition and force analysis on the simplified mechanical model to obtain the composite force and the unbalanced torque related to the composite force;

[0073] Based on the above analytical approach, this invention simplifies the force analysis and deformation operation of the mechanical model, referring to... Figure 5 As shown, using relevant mechanical principles to Figure 4 Simplifying the unbalanced load N towards the support center O, we can obtain a vertical unbalanced force N and an unbalanced moment M at point O. e (M e = N×L0 / 2, where L0 is the beam length). Meanwhile, to facilitate manual calculation, the simplified mechanical model is split into two parts: the combined force (beam self-weight W + unbalanced force N) acting alone, and the unbalanced moment M. e Two load conditions acting independently.

[0074] S3: Calculate the first relevant reaction force data of the temporary consolidated composite system of the cantilever continuous beam when the composite force acts alone, and the second relevant reaction force data of the temporary consolidated composite system of the cantilever continuous beam when the unbalanced moment acts alone;

[0075] When the combined forces act alone, the temporary fixed support and the external steel brace undergo coordinated deformation under the combined action of the beam's self-weight W, the unbalanced force N, and the vertical unbalanced force N. Because the beam's stiffness is infinitely large, the deformations of the temporary fixed support and the external steel brace under the beam's self-weight W and the vertical unbalanced force N are identical, and can be denoted as Δ. WΔ N At this point, both temporary fixed supports are under compression with stiffness K0, and the steel support has stiffness K1. Therefore, according to the force-deformation relationship, we can obtain:

[0076]

[0077] Therefore, the reaction force R of the temporary consolidated support when the composite force acts alone can be obtained. W+N for:

[0078]

[0079] The reaction force F of the steel support when the combined force acts alone W+N for:

[0080]

[0081] Where K0 represents the stiffness of the temporary consolidated support, Δ W Δ represents the deformation of the temporary fixed support / steel brace under the beam's self-weight W. N This indicates the deformation of the temporary fixed support / steel brace under the action of a vertical unbalanced force N, and K1 represents the stiffness of the steel support, W represents the self-weight of the beam, and N represents the vertical unbalanced force.

[0082] When an unbalanced torque acts alone, the unbalanced torque M e The unbalanced moment M is the direct cause of the beam's tilting and deflection. e When acting alone, one support is under compression, and the other support is under tension. However, because the tensile and compressive stiffnesses of the two temporary fixed supports are inconsistent (K0≠K2), the beam's deflection center (0 displacement point) is not located at the center of the line connecting the two temporary fixed supports, but will move towards one of the temporary fixed supports. Assume the beam is under unbalanced moment M... e Under the action, its deflection center offset is x, such as Figure 6 As shown.

[0083] according to Figure 6 The equilibrium equation for the unbalanced torque can be obtained as follows:

[0084]

[0085] Where L1 represents the distance between the two temporary fixed supports, and x represents the beam under unbalanced moment M. e The offset of its deflection center under the action, K1 represents the stiffness of the steel support, L2 represents the distance between the first temporary fixed support and the first steel support / the distance between the second temporary fixed support and the second steel support, R M1 R represents the reaction force at the first temporary fixed support. M2 F represents the reaction force at the second temporary consolidated support.M1 F represents the reaction force of the first steel support. M2 This indicates the reaction force of the second steel support.

[0086] Then, based on the deformation compatibility relationship, the reaction force of one component can be used to represent the reaction force of the other three components. For example, R can be used. M2 Indicates the reaction force of the remaining components:

[0087] Temporary fixed supports:

[0088]

[0089] First steel support:

[0090]

[0091] Second steel support:

[0092]

[0093] Then, the reaction forces of the first temporary consolidation support, the reaction force of the second temporary consolidation support, the reaction force of the first steel support, and the reaction force of the second steel support of the temporary consolidation combination system of the cantilever continuous beam when the unbalanced moment acts alone can be calculated according to the above formula.

[0094] The reaction force R of the first temporary consolidation support M1 for:

[0095]

[0096] The reaction force R of the second temporary consolidation support M2 for:

[0097]

[0098] The first steel support reaction force F M1 for:

[0099]

[0100] The second steel support reaction force F M2 for:

[0101]

[0102] Among them, M e The unbalanced moment is represented by K0 and K2, where K0 and K2 both represent the stiffness of the temporary fixed supports, L1 represents the distance between the two temporary fixed supports, and x represents the beam under the unbalanced moment M. e The offset of its deflection center under the action, K1 represents the stiffness of the steel support, and L2 represents the distance between the first temporary consolidation support and the first steel support / the distance between the second temporary consolidation support and the second steel support.

[0103] Therefore, the displacement x of the beam deflection center is the only unknown quantity. Once the displacement x is obtained, the reaction forces of each component can be solved.

[0104] Considering only the unbalanced torque M e When in action ( Figure 6 The reaction forces of each component have the following equilibrium relationship:

[0105] ∑F y =R M2 +R M1 +F M1 +F M2 =0

[0106] Substituting the reaction forces of each component into the equilibrium relationship yields the x value. Substituting the obtained x value back into the reaction force formula of each component yields the value of each reaction force.

[0107] S4: Based on the first relevant reaction force data and the second relevant reaction force data, obtain the actual reaction force of each component in the temporary consolidation combination system of the cantilever continuous beam;

[0108] By superimposing the first and second relevant reaction force data, the true reaction force of each component in the temporary consolidation system of the cantilevered continuous beam can be obtained.

[0109] Alternatively, the actual reaction forces of each component include the actual reaction forces of the first steel support, the second steel support, the first temporary consolidation support, and the second temporary consolidation support.

[0110] The true reaction force F1 of the first steel support is:

[0111] F1 = F W+N +F M1

[0112] The true reaction force F2 of the second steel support is:

[0113] F2 = F W+N -F M2

[0114] The true reaction force R1 of the first temporary consolidation support is:

[0115] R1 = R W+N +R M1

[0116] The actual reaction force of the second temporary consolidated support is:

[0117] R2 = R W+N -R M2

[0118] Among them, F W+N F represents the reaction force of the steel support when the composite force acts alone. M1 F represents the reaction force of the first steel support. M2 R represents the reaction force of the second steel support. W+N R represents the reaction force of a temporary consolidated support when the combined force acts alone. M1 R represents the reaction force at the first temporary fixed support. M2 This indicates the reaction force of the second temporary consolidated support.

[0119] S5: Perform stability and strength analysis using the actual reaction forces of each component to obtain the analysis results.

[0120] After obtaining the actual reaction forces of each component, the strength and stability of the temporary fixed support and steel bracing can be calculated immediately according to the allowable stress method and Euler's formula for column stability. The calculation results can determine whether the beam will overturn under this unbalanced load and whether the temporary fixed combination system is safe and reliable.

[0121] Therefore, alternatively, step S5 may include:

[0122] Stability analysis was performed using the stability analysis formula, and the first analysis result was obtained.

[0123] The stability analysis formula is as follows:

[0124] or

[0125]

[0126] Among them, F i R represents the true reaction force of the steel support, where i = 1, 2. i F represents the true reaction force of the temporarily fixed support, where i = 1, 2. cr π represents the critical force, E represents the elastic modulus of the component material, I represents the moment of inertia of the component section, μ represents the length coefficient, and l represents the calculated length of the component.

[0127] The stress of each component is obtained based on the actual reaction force of each component;

[0128] Strength analysis was performed using the strength analysis formula to obtain the second analysis result;

[0129] The strength analysis formula is as follows:

[0130] or

[0131]

[0132] Where, σ i It means that Fi R represents the true reaction force of the steel support, where i = 1, 2. i Denotes the true reaction force of the temporarily fixed support, where i = 1, 2, A i [σ] represents the cross-sectional area of ​​the component, and [σ] represents the allowable stress.

[0133] The analysis results are obtained based on the first analysis results and the second analysis results.

[0134] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for analyzing the overturning resistance of a temporarily consolidated composite system of cantilevered continuous beams, characterized in that, The analysis method for the overturning resistance of the temporary consolidated composite system of the cantilevered continuous beam includes: S1: Determine its simplified mechanical model based on the actual structure of the temporary consolidation combination system of the cantilever continuous beam; S2: Perform decomposition and force analysis on the simplified mechanical model to obtain the composite force and the unbalanced torque related to the composite force; S3: Calculate the first relevant reaction force data of the temporary consolidated composite system of the cantilever continuous beam when the composite force acts alone, and the second relevant reaction force data of the temporary consolidated composite system of the cantilever continuous beam when the unbalanced moment acts alone; S4: Based on the first relevant reaction force data and the second relevant reaction force data, obtain the actual reaction force of each component in the temporary consolidation combination system of the cantilever continuous beam; S5: Perform stability and strength analysis using the actual reaction forces of each component to obtain the analysis results; In S1, the simplified mechanical model of the temporary fixed-bond composite system of the cantilever continuous beam includes the beam body and a first steel support, a second steel support, a first temporary fixed-bond support, and a second temporary fixed-bond support located below the beam body. The first temporary fixed-bond support and the second temporary fixed-bond support are located between the first steel support and the second steel support, and the lengths of the first steel support and the second steel support are equal. The lengths of the first temporary fixed-bond support and the second temporary fixed-bond support are equal. The first steel support is located on the side closer to the first temporary fixed-bond support. The second steel support is located on the side closer to the second temporary fixed-bond support. The composite force includes the beam's own weight and unbalanced force; The first relevant reaction force data of the temporary consolidated composite system of the cantilever continuous beam when the composite force acts alone includes the reaction force of the temporary consolidated support and the reaction force of the steel support when the composite force acts alone. The reaction force of the temporary consolidation support when the composite force acts alone for: The reaction force of the steel support when the composite force acts alone for: in, This indicates the stiffness of the temporary consolidated support under compression. This indicates that the temporary fixed supports / steel braces are in place under the beam's self-weight. Deformation under action, This indicates the vertical unbalanced force of the temporary fixed support / steel brace. Deformation under action and , Indicates the stiffness of the steel support. Indicates the self-weight of the beam. This indicates a vertical unbalanced force; The second relevant reaction force data of the temporary fixed combination system of the cantilever continuous beam when the unbalanced moment acts alone includes the reaction force of the first temporary fixed support, the reaction force of the second temporary fixed support, the reaction force of the first steel support, and the reaction force of the second steel support; First temporary consolidation support reaction force for: The reaction force of the second temporary consolidation support for: First steel support reaction force for: Second steel support reaction force for: in, Indicates unbalanced torque. This indicates the stiffness of the temporary consolidated support under compression. This indicates the stiffness of the temporary consolidated support under tension. This indicates the distance between two temporary fixed supports. This indicates that the beam is under unbalanced moment. The offset of its deflection center under the action. Indicates the stiffness of the steel support. This represents the distance between the first temporary fixed support and the first steel support / the distance between the second temporary fixed support and the second steel support.

2. The method for analyzing the overturning resistance of the temporary consolidated composite system of cantilevered continuous beams according to claim 1, characterized in that, The unbalanced torque for: in, This indicates the distance between two temporary fixed supports. This indicates that the beam is under unbalanced moment. The offset of its deflection center under the action. Indicates the stiffness of the steel support. This represents the distance between the first temporary fixed support and the first steel brace / the distance between the second temporary fixed support and the second steel brace. This indicates the reaction force at the first temporary fixed support. Indicates the reaction force of the second temporary consolidated support. This indicates the reaction force of the first steel support. This indicates the reaction force of the second steel support.

3. The method for analyzing the overturning resistance of the temporary consolidated composite system of cantilevered continuous beams according to claim 2, characterized in that, The actual reaction forces of each component include the actual reaction force of the first steel support, the actual reaction force of the second steel support, the actual reaction force of the first temporary consolidation support, and the actual reaction force of the second temporary consolidation support.

4. The method for analyzing the overturning resistance of the temporary consolidated composite system of cantilevered continuous beams according to claim 3, characterized in that, The true reaction force of the first steel support for: The true reaction force of the second steel support for: The true reaction force of the first temporary consolidation support for: The actual reaction force of the second temporary consolidated support is: in, This represents the reaction force of the steel support when the combined force acts alone. This indicates the reaction force of the first steel support. This indicates the reaction force of the second steel support. This represents the reaction force of a temporary consolidated support when the combined force acts alone. This indicates the reaction force at the first temporary fixed support. This indicates the reaction force of the second temporary consolidated support.

5. The method for analyzing the overturning resistance of a temporary consolidated composite system of cantilevered continuous beams according to any one of claims 1-4, characterized in that, S5 includes: Stability analysis was performed using the stability analysis formula, and the first analysis result was obtained. The stress of each component is obtained based on the actual reaction force of each component; Strength analysis was performed using the strength analysis formula to obtain the second analysis result; The analysis results are obtained based on the first analysis results and the second analysis results.

6. The method for analyzing the overturning resistance of the temporary consolidated composite system of cantilevered continuous beams according to claim 5, characterized in that, The stability analysis formula is as follows: or in, Indicates the true reaction force of the steel support and i =1,2, Indicates the true reaction force of the temporary fixed support and i =1,2, Indicates critical force. Represents pi (π). This indicates the elastic modulus of the component material. Represents the moment of inertia of the component's cross section. Indicates the length coefficient. Indicates the calculated length of the component.

7. The method for analyzing the overturning resistance of the temporary consolidated composite system of cantilevered continuous beams according to claim 6, characterized in that, The strength analysis formula is as follows: or in, This represents the stress of the component under actual reaction force, where i = 1, 2. This represents the actual reaction force of the steel support, where i = 1, 2. This represents the true reaction force of the temporary fixed support, where i = 1, 2. Represents the cross-sectional area of ​​the component, where i = 1, 2. Indicates the allowable stress.

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