Method and system for processing strain data of upper concrete of inverted-T-shaped cover beam bridge deck
By developing a method and system for processing the strain data of the upper concrete of an inverted T-shaped cap beam bridge deck, the problem that the traditional continuous theory of simply supported beam bridge decks cannot accurately reflect the continuous three-dimensional spatial stress characteristics of the inverted T-shaped cap beam bridge deck has been solved, thereby improving the accuracy of strain calculation and the precision of engineering design.
Patent Information
- Application Number
- CN202511477434.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-10-16
- Publication Date
- 2026-01-23
AI Technical Summary
Traditional theories of continuous simply supported beam bridge decks cannot accurately reflect the continuous three-dimensional spatial stress characteristics of inverted T-shaped cap beam bridge decks, resulting in large deviations between strain calculation results and actual values, making it difficult to meet the accuracy requirements of engineering design.
A method and system for processing the strain data of the upper concrete of an inverted T-shaped cap beam bridge deck is provided. By calculating the comprehensive strain of temperature load, beam end rotation load, bridge deck self-weight and vehicle load, and combining the structural characteristics of the inverted T-shaped cap beam, a correction coefficient for the distance from the support to the beam end and the upward shift of the rotation center is introduced. The system distinguishes between single-sided and double-sided rotation conditions at the beam end and accurately calculates the total strain of the upper concrete of the inverted T-shaped cap beam bridge deck.
It has improved the accuracy of continuous strain calculation for inverted T-shaped cap beam bridge decks, with the error controlled within 15%, which can accurately guide deflection and crack control, save engineers' time and costs, and provide a rapid solution.
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Abstract
Description
TECHNICAL FIELD
[0001] The present application relates to the technical field of bridge, in particular to a processing method and system for strain data of upper concrete of inverted T-shaped bent cap bridge deck. BACKGROUND
[0002] As an advanced solution to replace traditional expansion joints, bridge deck continuous structure aims to significantly improve the smoothness of vehicle driving and the overall visual aesthetics of the bridge by establishing seamless connections between adjacent bridge spans. This design not only needs to withstand the repeated effects of daily traffic loads, but also needs to adapt to the deformation of the bridge caused by long-term factors such as temperature changes and concrete shrinkage and creep. Therefore, accurately analyzing the stress characteristics of the bridge deck continuous structure, especially the strain state of the upper concrete, is of great significance to ensure the safety and durability of the structure.
[0003] Currently, the simply supported beam theory is the main method for analyzing bridge deck continuous structure. This theory is based on a core assumption that the stiffness of the bridge deck continuous part is much lower than that of the main beam, so that the end deformation caused by the force of the bridge deck continuous on the main beam can be ignored compared to the deformation caused by vehicle loads or temperature changes. Based on this assumption, the traditional method decouples the bridge deck continuous and the main beam from a mechanical point of view, first independently calculates the influence of vehicle loads and temperature changes and other factors on the end deformation of the main beam, and then applies these deformations as known boundary conditions to the bridge deck continuous structure to evaluate its stress characteristics. This two-dimensional simplified analysis method has achieved good application results in the bridge deck continuous of the traditional simply supported beam bridge single joint form.
[0004] However, with the development of bridge engineering technology, inverted T-shaped bent caps are increasingly widely used in long-span steel beam bridges. There are essential differences between inverted T-shaped bent cap bridge deck continuous structure and traditional simply supported beam bridge single joint form: the inverted T-shaped bent cap makes the bridge deck continuous have a significant stiffness discontinuity in the vertical direction, breaking the basic assumption of stiffness continuity in the traditional theory; the inverted T-shaped bent cap bridge deck continuous presents obvious three-dimensional stress characteristics, the rotation center of the beam end is no longer located at the center of the support but is offset upward, and the interaction between the bridge deck continuous and the bent cap produces complex constraint effects; when calculating the strain of the inverted T-shaped bent cap bridge deck continuous using the traditional two-dimensional simplified model, the above three-dimensional effects are ignored, resulting in a large deviation between the calculation results and the actual situation, which is difficult to meet the engineering design precision requirements.
[0005] Accurate calculation of the strain of the upper concrete of the inverted T-shaped bent cap bridge deck continuous is crucial for controlling deflection and preventing cracks. The existing traditional single joint form bridge deck continuous theory based on the two-dimensional simplified model has been difficult to meet the design requirements of the inverted T-shaped bent cap bridge deck continuous. Therefore, it is urgent to establish a strain calculation method that can accurately reflect the three-dimensional stress characteristics of the inverted T-shaped bent cap bridge deck continuous, is simple to calculate, and has reliable precision. SUMMARY
[0006] The traditional simply supported beam bridge deck continuous theory is based on a two-dimensional simplified model, which cannot accurately reflect the three-dimensional space stress characteristics of the inverted T-shaped bent cap bridge deck continuous, resulting in a large deviation between the strain calculation results and the actual situation. The application provides a processing method and system for inverted T-shaped bent cap bridge deck upper concrete strain data, and improves the stress calculation accuracy.
[0007] One aspect of the application provides a processing method for inverted T-shaped bent cap bridge deck upper concrete strain data, comprising: S1, obtaining the structure parameters of the inverted T-shaped bent cap bridge deck; S2, calculating the strain generated by the temperature load on the inverted T-shaped bent cap bridge deck upper concrete according to the structure parameters ; S3, calculating the strain generated by the beam end rotation load on the inverted T-shaped bent cap bridge deck upper concrete ; wherein, represents the tensile strain generated by the beam end rotation load, represents the bending strain generated by the beam end rotation load, represents the upwarping strain generated by the beam end rotation load; S4, calculating the strain generated by the bridge deck self weight on the inverted T-shaped bent cap bridge deck upper concrete ; S5, calculating the strain generated by the vehicle load on the inverted T-shaped bent cap bridge deck upper concrete ; S6, calculating the total strain according to 、 、 、 .
[0008] Further, the structure parameters include: bridge deck continuous thickness h, main beam height H, bridge deck continuous length , bridge deck continuous unbonded length , support to beam end distance , beam end rotation angle , bridge deck continuous concrete elastic modulus , concrete thermal expansion coefficient , simply supported beam span , maximum temperature drop , concrete density .
[0009] Among them, the bridge deck continuous thickness h refers to the vertical thickness of the concrete of the inverted T-shaped bent cap top bridge deck continuous section, that is, the distance from the bridge deck continuous bottom surface to the top surface. This parameter directly affects the bending stiffness and strain distribution of the bridge deck continuous.
[0010] The main beam height H refers to the vertical distance from the beam bottom to the beam top (inverted T-shaped bent cap bottom surface) of the simply supported main beam. In the inverted T-shaped bent cap structure, this parameter affects the vertical displacement component when the beam end rotates, and is an important parameter for calculating the tensile strain and upwarping strain.
[0011] Bridge deck continuous length Total length of the deck continuous segment, i.e. the horizontal distance from one side beam end to the other, including the expansion joint location in the middle and the un-bonded segments at both ends. This parameter determines the overall size of the deck continuity and the range of strain distribution.
[0012] Un-bonded length of the deck continuity The length at both ends of the deck continuity where isolation measures (e.g. brushing of release agent, setting of a sliding layer, etc.) are used to prevent the concrete from bonding to the main beam. The un-bonded segments are provided to reduce stress concentration at the ends, with each end having an un-bonded length of .
[0013] Rotation angle at the beam end The rotation angle at the beam end under the action of loads, relative to the horizontal position. This parameter is a basic input parameter for calculating the strains (tension, bending, upward) caused by rotation at the beam end.
[0014] Elastic modulus of the deck continuity concrete The elastic modulus of the concrete material in the deck continuity segment, reflecting the proportional relationship between stress and strain of the concrete within the elastic range. This parameter directly affects the size of the strain caused by the dead load and vehicle load.
[0015] Thermal expansion coefficient of the concrete The linear strain caused by unit temperature change of the concrete material, reflecting the temperature sensitivity of the concrete. For ordinary concrete, the value is generally taken as 1.0×10⁻ 5 / ℃.
[0016] Span L of the simply supported beam refers to the horizontal distance between the centers of two adjacent supports, i.e. the calculated span of the simply supported beam. This parameter determines the amount of beam expansion caused by temperature changes and is a key parameter for calculating temperature strain.
[0017] Maximum temperature drop The maximum temperature reduction that may occur in the area where the bridge is located, usually determined according to local meteorological data and bridge specifications. This parameter is directly proportional to the temperature strain and is a basic input for temperature effect analysis.
[0018] Density of the concrete The mass density of the concrete material in the deck continuity segment, used to calculate the dead load of the deck continuity. For ordinary concrete, the value is generally taken as 2400-2500 kg / m³.
[0019] Further, S2 calculates the strain of the deck upper concrete of the inverted T-shaped bent cap bridge caused by temperature load according to the structural parameters, including: ; in particular, the Representing the effective bond length, in continuous inverted T-shaped cap beam bridge decks, due to the restraining effect of the cap beam and the stress concentration effect, a certain length of unbonded section needs to be set at both ends of the continuous bridge deck. Traditional simply supported beam theory often ignores this factor, directly using the entire length *l* for calculation. This application accurately identifies only the *l* of the simply supported beam. The concrete within the length range truly participates in the transmission of temperature strain, which is more consistent with the actual stress state of the inverted T-shaped cap beam.
[0020] Furthermore, S3, calculate the strain ε1 produced by the rotational load at the beam end on the upper concrete of the inverted T-shaped cap beam, including:
[0021] When the beam end rotates on one side: ;
[0022] When the beam ends rotate on both sides: ;
[0023] Specifically, in traditional simply supported beam theory, it is usually assumed that the beam ends rotate around the support center. However, due to the rigid constraint of the cap beam, the rotation center of the inverted T-shaped cap beam shifts upwards to near the top of the cap beam. This shift causes the beam end rotation to generate an additional horizontal displacement component. In the formula... The term accurately describes this horizontal displacement caused by the offset of the rotation center, a key deformation component that traditional theories cannot capture.
[0024] also, This demonstrates the coupling effect of vertical deformation and horizontal strain. In the inverted T-shaped cap beam structure, the rotation of the beam end not only generates horizontal displacement but also significant vertical displacement due to the beam height H. This vertical displacement is transformed into continuous additional tensile strain on the bridge deck through the constraint of the cap beam. (Beam end rotation angle) This causes the beam end to produce The vertical displacement, this displacement is through a distance The lever arm effect produces tensile deformation in the continuous bridge deck. This three-dimensional coupling effect is a unique mechanical characteristic of the inverted T-shaped cap beam.
[0025] Furthermore, when the beam end rotates on one side: ;
[0026] When the beam ends rotate on both sides: ;
[0027] Specifically, in the case of unilateral rotation, one end of the beam rotates. With one end fixed and the other end at a fixed angle, this asymmetrical deformation produces a more severe bending effect in the continuous bridge deck. The constraint at the fixed end forces the entire continuous bridge deck to bear the full angle difference, resulting in extremely uneven curvature distribution, with the maximum curvature reaching [value missing]. This one-end rotation and one-end constraint mode is particularly prominent in inverted T-shaped deck beam, because the rigidity of the deck beam makes the constraint at the fixed end more thorough.
[0028] While in the case of bilateral rotation, both ends of the beam rotate by the same angle , and the bridge deck continuously presents a symmetric S-shaped deformation. Due to the symmetry of the deformation, the curvature at the midpoint is zero, and the overall average curvature is only . This symmetric deformation mode makes the bending strain distribution more uniform, and the peak strain is smaller.
[0029] In the inverted T-shaped deck beam bridge deck, the thickness h not only determines the bending stiffness of the section, but also directly affects the strain size of the upper surface. When the beam end rotates, the bending of the bridge deck section occurs, and the strain on the upper surface is proportional to the distance from the neutral axis to the upper surface (about h / 2). The formula is in the form of , which is concise and accurate to express this geometric relationship. This is particularly important for inverted T-shaped deck beams, as their bridge deck thickness is often large, and the influence of bending strain cannot be ignored.
[0030] Further, when the beam end rotates unilaterally:
[0031] ;
[0032] When the beam end rotates bilaterally:
[0033] ;
[0034] where is a correction factor due to the upward movement of the rotation center, with a value range of 0.08 to 0.12.
[0035] In particular, in the analysis of traditional simply supported bridge deck, only in-plane tension and bending deformation is usually considered, and the vertical warping effect is ignored. However, in inverted T-shaped deck beam structure, due to the rigid constraint of the deck beam and the upward movement of the beam end rotation center, the bridge deck will produce significant upward deformation. This three-dimensional deformation mode is a unique mechanical behavior of inverted T-shaped deck beam.
[0036] In inverted T-shaped deck beam, the actual rotation center of the beam end is not located at the support, but is upward to the top of the deck beam. The correction factor quantitatively describes the influence of this upward movement effect on the upward deformation.
[0037] The term represents the vertical displacement component due to the offset of the rotation center. This is a unique effect of inverted T-shaped deck beam, reflecting the mechanism that the horizontal eccentricity is converted into vertical displacement during rotation.
[0038] The term represents the vertical displacement component caused by the beam height. A negative value indicates that this is a downward displacement, and... The upward displacement contrasts with the vertical displacement, together determining the net vertical displacement.
[0039] Furthermore, S4 calculates the effect of the bridge deck's self-weight on the upper concrete of the inverted T-shaped cap beam. ,include:
[0040] ;
[0041] Furthermore, S5 calculates the impact of vehicle loads on the upper concrete of the inverted T-shaped cap beam bridge deck. ,include:
[0042] In the inverted T-shaped cap beam structure, vehicle loads typically act at a specific location on the bridge deck, with their influence extending from the loading point to the nearest support point. Therefore, the following approach is adopted: Instead This more accurately describes the asymmetric force transmission path.
[0043] Another aspect of this application provides a system for processing concrete strain data of the upper part of an inverted T-shaped cap beam bridge deck, comprising: a parameter acquisition module for acquiring structural parameters of the inverted T-shaped cap beam bridge deck; the structural parameters include: continuous bridge deck thickness h, main beam height H, and continuous bridge deck length. Continuous unbonded length of bridge deck Distance from support to beam end Beam end corner Elastic modulus of continuous concrete on bridge deck Coefficient of thermal expansion of concrete Simply supported beam span Maximum cooling rate Concrete density The temperature strain calculation module calculates the strain based on the structural parameters and the formula. Calculate the strain of the upper concrete of the inverted T-shaped cap beam bridge deck caused by temperature load. The rotational strain calculation module calculates the strain generated by the rotational load at the beam end on the upper concrete of the inverted T-shaped cap beam bridge deck. Wherein: when the beam end rotates on one side, according to Calculate tensile strain; when the beam ends rotate on both sides, according to... Calculate tensile strain; when the beam end rotates on one side, according to... Calculate bending strain; when the beam ends rotate on both sides, according to Calculate bending strain; when the beam end rotates to one side, according to... Calculate the upward strain; when the beam ends rotate on both sides, according to Calculate the upward strain; where, is a correction coefficient caused by the upward movement of the rotation center, with a value range of 0.08 to 0.12; a self-weight strain calculation module calculates the strain of the upper concrete of the bridge deck of the inverted T-shaped bent cap bridge caused by the self-weight of the bridge deck according to the formula ; a vehicle load strain calculation module calculates the strain of the upper concrete of the bridge deck of the inverted T-shaped bent cap bridge caused by the vehicle load according to the formula ; and a total strain calculation module calculates the total strain according to 、 、 、 .
[0044] Compared with the prior art, the application has the following advantages:
[0045] The traditional simply supported bridge deck continuous theory is based on a two-dimensional simplified model, which cannot accurately reflect the three-dimensional space stress characteristics of the inverted T-shaped bent cap bridge deck, resulting in a large deviation between the strain calculation results and the actual situation. The application provides a processing method and system for the strain data of the upper concrete of the inverted T-shaped bent cap bridge deck. By establishing a comprehensive strain calculation system including temperature load, beam end rotation load (tension, bending, and upward bending), bridge deck self-weight, and vehicle load, and introducing key parameters such as the distance from the support to the beam end and the correction coefficient of the upward movement of the rotation center according to the structural characteristics of the inverted T-shaped bent cap, the application can distinguish between the single-sided rotation and double-sided rotation of the beam end, and can accurately calculate the total strain of the upper concrete of the inverted T-shaped bent cap bridge deck under complex loads, fully consider the three-dimensional space stress characteristics such as the vertical direction stiffness mutation, rotation center offset, bridge deck continuity, and bent cap constraint effect, and improve the stress calculation precision of the inverted T-shaped bent cap bridge deck under complex constraints. BRIEF DESCRIPTION OF DRAWINGS
[0046] The application will be further described in the form of exemplary embodiments, which will be described in detail with reference to the accompanying drawings. These embodiments are not limiting, and in these embodiments, the same reference numbers represent the same structures, wherein:
[0047] Figure 1 is an exemplary flowchart of a processing method for the strain data of the upper concrete of the inverted T-shaped bent cap bridge deck according to some embodiments of the application;
[0048] Figure 2 is a loading device and displacement meter installation position diagram according to some embodiments of the application;
[0049] Figure 3 is a parameter diagram according to some embodiments of the application.
[0050] Explanation of reference numerals in the drawings: DETAILED DESCRIPTION
[0051] The method and system provided by the embodiments of the present application are described in detail below with reference to the drawings.
[0052] Embodiment 1
[0053] As shown in the following formula, S1, the continuous deck thickness h of the inverted T-shaped bent cap bridge deck, the height H of the main beam, the length L of the deck continuity Figure 1 , the unbonded length L1 of the deck continuity , the distance L2 from the support to the beam end , the beam end rotation angle , the elastic modulus E of the deck continuity concrete , the thermal expansion coefficient a of the concrete , the simply supported beam span , the maximum temperature drop , the concrete density ; S2, the strain size of the temperature load on the upper surface concrete of the inverted T-shaped bent cap bridge deck is calculated, and the calculation formula is as follows:
[0054] ;
[0055] S3, the strain size of the beam end rotation load on the upper surface concrete of the inverted T-shaped bent cap bridge deck is calculated, and the calculation formula is as follows:
[0056] ;
[0057] ;
[0058] ;
[0059] is the tensile action strain generated by the beam end rotation load; is the bending action strain generated by the beam end rotation load; is the upwarping action strain generated by the beam end rotation load; wherein, represents the rotation angle of the B end beam, when unilateral rotation, if the B end is fixed, then , if the B end rotates, then ;
[0060] represents the rotation angle of the C end beam, when unilateral rotation, if the C end is fixed, then , if the C end rotates, then ; unilateral beam end rotation: refers to that, among two beams connected by the deck continuity, only one beam rotates, and the other beam remains fixed; bilateral beam end rotation: refers to that, among two beams connected by the deck continuity, both beams rotate simultaneously at the same angle;
[0061] S4, calculate the strain size of the second constant load on the inverted T-shaped cap beam bridge deck continuous upper surface concrete, the formula is as follows:
[0062] ;
[0063] S5, calculate the strain size of the vehicle load on the inverted T-shaped cap beam bridge deck continuous upper surface concrete, the formula is as follows:
[0064] ;
[0065] S6, add the strain calculated by S1-S5, that is, the total strain.
[0066] Further, the bridge deck continuous full section is considered as linear elastic material in ideal state, and the steel and concrete can fully work together.
[0067] Further, the concrete can use various strength grades, and ECC, UHPC and other materials can be used instead.
[0068] Further, S1, S2, S3 steps are independent steps without calculation order, while S4 step should be prior to S5 step, because the second constant load always exists, when the upper surface concrete contacts the cap beam, the strain will not continue to increase.
[0069] Further, the in S3 is a correction factor caused by the upward movement of the rotation center, which is a factor of about 0.08 to 0.12, which can be calculated by the bridge deck continuous tensile stiffness, support shear stiffness and material mechanics formula. In particular, in the inverted T-shaped cap beam structure, the rotation center of the beam end moves up due to the constraint of the cap beam; the parameter as the length of the force arm directly determines the displacement size caused by rotation; compared with the traditional simply supported beam, the value of the inverted T-shaped cap beam has a more significant impact on the strain; in addition, the inverted T-shaped cap beam makes the bridge deck continuous present three-dimensional stress characteristics; The term reflects the contribution of horizontal distance in vertical deformation; The term reflects the horizontal shrinkage effect caused by rotation.
[0070] Further, the strain of the upper surface concrete measured by the inverted T-shaped cap beam bridge deck continuous static test is compared with the strain calculated by S1-S5 in claim 1, the smaller the difference between the two, the higher the accuracy.
[0071] Specifically, step A: initial boundary condition setting
[0072] The two ends of the bridge deck continuous are set as free end boundary conditions;
[0073] Based on the initial boundary conditions, perform the first calculation of steps S2, S3 to obtain the initial strain value , ;
[0074] Step B: Boundary condition correction calculation
[0075] Perform step S4 to calculate the strain generated by the self-weight of the bridge deck ;
[0076] Perform step S5 to calculate the strain generated by the vehicle load ;
[0077] According to the calculation results of and , determine the actual constraint state of the continuous end of the bridge deck;
[0078] Step C: Boundary condition update
[0079] When exceeds the preset threshold, update the boundary conditions of the continuous two ends of the bridge deck to fixed ends;
[0080] Based on the updated fixed-end boundary conditions, establish the correction coefficient matrix [K]: ; Wherein: , , ;
[0081] Step D: Iterative correction of strain data
[0082] Use the correction coefficient matrix to correct the initial strain value:
[0083]
[0084] Step E: Convergence judgment
[0085] Calculate the strain difference of the adjacent iteration steps: ;
[0086] When , the iteration converges, and the final corrected strain value is output;
[0087] Otherwise, return to step C for further iteration until convergence.
[0088] Further, the bridge deck continuous thickness h of the inverted T-shaped cap beam bridge deck, the main beam height H, the bridge deck continuous length , the bridge deck continuous unbonded length , the support to beam end distance , the simply supported beam span can be directly measured by actual engineering, while the bridge deck continuous concrete elastic modulus and the concrete density The thermal expansion coefficient of the concrete can be obtained through a material test The maximum temperature drop The beam end rotation angle is a fixed value and can be obtained according to a specification The maximum value of the beam end rotation angle is a variable and can be obtained through calculation according to a specification
[0089] The application obtains the concrete strain on the upper surface of the inverted T-shaped bent cap bridge deck continuous surface through calculation, and the data can guide the control of the deflection and cracks of the bridge deck continuous surface, without a series of complicated modeling simulation calculations, and the calculation method of the application is consistent with the test value, with an error within 15%, which is relatively accurate and has a good application prospect.
[0090] The calculation method of the application is convenient and fast, and only the related sizes and material information of the bridge deck continuous surface and the main beam need to be obtained to obtain the concrete strain on the upper surface of the inverted T-shaped bent cap bridge deck continuous surface through calculation, which provides a quick solution method for the concrete crack width problem, greatly saves the time cost of engineers, and can calculate and optimize the structure without a large number of tests and numerical simulations.
[0091] Embodiment 2
[0092] A static loading method is adopted, a whole process displacement loading control strategy of the beam end is adopted, a preloading of 0.5 mm is adopted, the working conditions of the loading equipment and each measuring point are checked, whether the inverted T-shaped bent cap bridge deck continuous surface is normally loaded is determined, then each loading increment is 0.5 mm, the holding time of each load is not less than 1 min, when the upper concrete of the bridge deck continuous surface appears the first crack, each loading increment is changed to 1 mm, when the test piece reaches 1 times the design load, each loading increment is changed to 2 mm, and the loading is stopped until 1.5 times the design load. The vertical deformation of the test structure is output through a displacement meter, a total of 7 displacement meters are arranged: a loading point (L1, L5, used to measure the spring compression amount to calculate the corresponding beam end rotation angle value), a beam joint position (L2, L4), and a middle part of the bridge deck continuous surface (L3) as shown in FIG. Figure 2
[0093] As an embodiment, the stress calculation method for the upper surface concrete of the bridge deck continuous surface of the large-span steel beam bridge under the condition of the inverted T-shaped bent cap bridge includes the following steps:
[0094] S1, obtaining the bridge deck continuous surface thickness h, the main beam height H, the bridge deck continuous surface length L, the bridge deck continuous surface unbonded length L1, the support to beam end distance L2, the beam end rotation angle θ, the bridge deck continuous surface concrete elastic modulus Ec, the concrete thermal expansion coefficient α, and the simply supported beam span L3 of the inverted T-shaped bent cap bridge. Concrete density The parameters are shown in the schematic diagram of Fig. 2. Figure 3 S2, the strain of the continuous upper surface concrete of the inverted T-shaped bent cap bridge deck caused by the temperature load is calculated, and the calculation formula is as follows:
[0095] ;
[0096] S3, the strain of the continuous upper surface concrete of the inverted T-shaped bent cap bridge deck caused by the beam end rotation load is calculated, and the calculation formula is as follows:
[0097] ;
[0098] ;
[0099] ;
[0100] is the tensile action strain caused by the beam end rotation load; is the bending action strain caused by the beam end rotation load; is the upwarping action strain caused by the beam end rotation load;
[0101] S4, the strain of the continuous upper surface concrete of the inverted T-shaped bent cap bridge deck caused by the secondary dead load is calculated, and the calculation formula is as follows:
[0102] ;
[0103] S5, the strain of the continuous upper surface concrete of the inverted T-shaped bent cap bridge deck caused by the vehicle load is calculated, and the calculation formula is as follows:
[0104] ;
[0105] S6, the total strain is obtained by adding the strains calculated in S1-S5.
[0106] The test value of the strain of the continuous upper surface concrete of the inverted T-shaped bent cap bridge deck in the embodiment is obtained by the static test data, and is compared with the formula value of the patent:
[0107] Example 3
[0108] The difference from Example 2 is that the continuous unbonded length of the bridge deck is changed, and the rest of the data is consistent with Example 1, as shown in Table 1.
[0109] Example 4
[0110] The difference from Example 2 is that the height of the main beam is changed, and the rest of the data is consistent with Example 1, as shown in Table 1.
[0111] After integrating the data of Example 2 and Example 3-4, as shown in Table 1, the test value of the strain size of the continuous upper surface concrete of the inverted T-shaped cover beam bridge deck is consistent with the simulation calculation result. Therefore, the present application can calculate the accurate strain size of the continuous upper surface concrete of the inverted T-shaped cover beam bridge deck, provide a simple and accurate method for preventing the cracking and damage of the continuous upper concrete of the bridge deck during design or use, save a large amount of time cost, and achieve the purpose without complex test or numerical simulation.
[0112] Table 1 Comparison of strain test value and calculation value of continuous upper concrete of bridge deck in Examples 2 to 4 of the present application
[0113]
[0114] As shown in Table 1, first, in terms of calculation accuracy, the present application achieves significant improvement. The experimental data in Table 1 clearly shows that the calculation value and the test value present a high degree of coincidence, the ratio of the calculation value and the test value is stable in the range of 0.995 to 1.020, and the relative error is controlled within 2%. This accuracy level is far better than the error range of 15% to 20% of the traditional method. More importantly, under the working conditions of three different parameter combinations, the calculation accuracy remains stable, fully illustrating the reliability and universality of the method. This result powerfully proves that the present application successfully breaks through the limitations of the traditional two-dimensional simplified model, and can accurately capture the three-dimensional space stress characteristics of the inverted T-shaped cover beam bridge deck.
[0115] Secondly, by finely decomposing the strain components generated by each load, the present application accurately identifies the contribution degree of different loads, and deeply reveals the stress mechanism of the inverted T-shaped cover beam bridge deck. Data analysis shows that the strain generated by the temperature load is between 1.2% and 1.25%, accounting for 88% to 89% of the total strain, fully verifying the dominant position of the temperature effect in the design of the bridge deck. In terms of beam end rotation effect, the present application achieves fine analysis: the bending strain is 0.0838% to 0.0873%, accounting for about 6.2% of the total strain; the upwarping strain is 0.0148% to 0.0163%, accounting for about 1.1%; and the tensile strain is 0.0044% to 0.0048%, accounting for only 0.3%. Although the strain generated by the dead load is only 0.05%, accounting for 3.7% of the total strain, experiments prove that its accurate calculation of the total strain cannot be ignored. This fine strain component analysis provides an important basis for deeply understanding the stress behavior of the structure.
[0116] Thirdly, by comparing the experimental data of three groups with different parameters, the sensitivity of key design parameters is scientifically revealed. When the height of the main girder H decreases from 205 cm to 180 cm, the temperature strain increases by 4.2%, the bending strain also increases by 4.2%, and the upwarping strain increases by 9.4%. This result clearly shows that reducing the height of the girder will lead to a significant increase in strain, and a reasonable trade-off between the height of the structure and strain control must be made in the design. In contrast, when the un-bonded length l1 is adjusted from 50 cm to 47.5 cm, the impact on the total strain is minimal, with a change of less than 0.1%, which provides some flexibility for design.
[0117] Finally, the present application has important engineering application value. In terms of design optimization, given the dominance of temperature load, the design personnel should consider the control measures of temperature effect as the key factor, and can optimize the strain distribution by reasonably adjusting the height of the main girder. In terms of construction quality control, the accurate calculation of each strain component provides reliable theoretical support for formulating deformation control measures during construction, and helps to determine reasonable camber and construction technology. In terms of crack control, the calculated total strain of 1.35% to 1.41% provides accurate input parameters for reinforcement design and crack width calculation, effectively avoiding the problem of improper reinforcement due to calculation errors.
[0118] The above has described the present application and its implementation in a schematic manner, which is not restrictive, and the present application can be realized in other specific forms without departing from the spirit or essential characteristics of the present application. The embodiments shown in the drawings are only one of the embodiments of the present application, and the actual structure is not limited thereto. Therefore, if a person of ordinary skill in the art is inspired by it, without departing from the spirit of the present application, similar structural forms and embodiments can be designed without creative design, which should belong to the protection scope of the present application. In addition, the word "comprising" does not exclude other elements or steps, and the word "one" before the element does not exclude the inclusion of "multiple" elements. The words "first", "second" and the like are used to indicate names, and do not indicate any specific order.
Claims
1. A processing method for strain data of inverted T-shaped deck girder bridge superstructure concrete, characterized in that, The method comprises the following steps: S1, acquiring the structure parameters of the inverted T-shaped deck beam bridge; S2, according to the structure parameters, calculating the strain of the upper concrete of the deck of the inverted T-shaped bent cap bridge caused by the temperature load ; S3, the strain of the upper concrete of the deck of the inverted T-shaped bent cap bridge caused by the rotation load of the beam end ; wherein represents the tensile strain caused by the rotation load of the beam end, represents the bending strain caused by the rotation load of the beam end, represents the upwarping strain caused by the rotation load of the beam end; S4, calculate the self-weight of the bridge deck on the inverted T-shaped cover beam bridge deck upper concrete produced by ; S5, calculate the vehicle load on the inverted T-shaped cover beam bridge deck upper concrete produced by ; S6, according to , , , , the total strain is calculated.
2. The processing method for strain data of the upper concrete of the inverted T-shaped deck beam bridge according to claim 1, characterized in that: Structural parameters include: continuous deck thickness h, main beam height H, continuous deck length , continuous deck unbonded length , support to beam end distance , beam end corner, continuous deck concrete elastic modulus , concrete thermal expansion coefficient , simply supported beam span , maximum temperature drop , concrete density . 3. The processing method for strain data of the upper concrete of the inverted T-shaped deck beam bridge according to claim 2, characterized in that: S2, according to the structure parameters, calculating the strain of the upper concrete of the bridge deck of the inverted T-shaped cover beam caused by the temperature load comprising: 。 4. The processing method for strain data of the upper concrete of the inverted T-shaped deck beam bridge according to claim 2, characterized in that: S3, calculating the strain of the upper concrete of the deck of the inverted T-shaped bent cap bridge caused by the rotation load of the beam end comprising: When the beam end rotates on one side: ; When the beam end rotates on both sides: 。 5. The processing method for strain data of the upper concrete of the inverted T-shaped deck beam bridge according to claim 2, characterized in that: When the beam end rotates on one side: ; When the beam end rotates on both sides: 。 6. The processing method for strain data of the upper concrete of the inverted T-shaped deck beam bridge according to claim 2, characterized in that: When the beam end rotates on one side: ; When the beam end rotates on both sides: ; wherein is a correction factor due to the upward shift of the center of rotation, taking values in the range 0.08 to 0.
12.
7. The processing method for strain data of the upper concrete of the inverted T-shaped deck beam bridge according to claim 2, characterized in that: S4, calculating the self-weight of the bridge deck on the upper concrete of the inverted T-shaped cover beam bridge deck , comprising: 。 8. The processing method for strain data of the upper concrete of the inverted T-shaped deck beam bridge according to claim 2, characterized in that: S5, calculating the vehicle load on the inverted T-shaped cover beam bridge deck upper concrete produced by , comprising: 。 9. A processing system for inverted T-shaped deck girder bridge superstructure concrete strain data, characterized by, The method comprises the following steps: S1, acquiring the structure parameters of the inverted T-shaped deck beam bridge; S1, acquiring the structure parameters of the inverted T-shaped deck beam bridge; The structural parameters include: continuous deck thickness h, main beam height H, continuous deck length , continuous deck unbonded length , support-to-beam end distance , beam end corner , continuous deck concrete elastic modulus , concrete thermal expansion coefficient , simply supported beam span , maximum temperature drop , concrete density ; The temperature strain calculation module calculates the strain of the upper concrete of the bridge deck of the inverted T-shaped bent cap bridge according to the structural parameters and the temperature load The temperature strain calculation module calculates the strain of the upper concrete of the bridge deck of the inverted T-shaped bent cap bridge according to the structural parameters and the temperature load ; The rotating strain calculation module calculates the strain of the upper concrete on the bridge deck of the inverted T-shaped bent cap bridge caused by the rotating load of the beam end ; wherein: When the beam end is rotated on one side, the tensile strain is calculated according to When the beam end is rotated on both sides, the tensile strain is calculated according to When the beam end is rotated on both sides, the tensile strain is calculated according to When the beam end is rotated on one side, the bending strain is calculated according to When the beam end is rotated on both sides, the bending strain is calculated according to When the beam end is rotated on both sides, the bending strain is calculated according to When the beam end rotates unilaterally, the upwarping strain is calculated according to When the beam end rotates bilaterally, the upwarping strain is calculated according to Wherein, is a correction coefficient caused by the upward movement of the rotation center, and the value range is 0.08 to 0.
12. Dead load strain calculation module, according to formula Calculate the strain of the bridge deck on the inverted T-shaped cap beam bridge deck superstructure concrete caused by the dead load ; Vehicle load strain calculation module, according to the formula Calculate the strain of the upper concrete of the bridge deck of the inverted T-shaped cover beam caused by the vehicle load ; a total strain calculation module to calculate total strain based on , , ,
