Method and device for calculating bearing capacity of corrugated steel web U-shaped beam under action of bending, shearing and twisting

By evaluating the corrugated steel web U-shaped beam into a concrete structure and combining Vlasov theory to calculate the relationship between warping moment and torque, the problem of bearing capacity evaluation of corrugated steel web U-shaped beam under the effect of bending shear and torsion coupling is solved, and a more accurate bearing capacity evaluation is achieved.

CN120409027APending Publication Date: 2025-08-01CHINA UNIV OF MINING & TECH

Patent Information

Application Number
CN202510557209.6
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-04-29
Publication Date
2025-08-01

AI Technical Summary

Technical Problem

In the prior art, there are few researches on the ultimate bearing capacity calculation of corrugated steel web U-shaped beams under the bending shear and torsion coupling effect, resulting in complex structural stress interactions under eccentric traffic loads and lateral wind loads, making it difficult to accurately evaluate their bearing capacity.

Method used

The equivalent concrete structure method is used to equivalent the steel structure part of the corrugated steel web U-shaped beam to a concrete structure. Combined with the Vlasov theory, the ultimate bearing capacity of the component is calculated through the relationship between warping moment, warping torque and free torque, and the internal force balance analysis is performed on the half-U-shaped cross-section of the loading side using the warping moment distribution.

Benefits of technology

A bearing capacity calculation method and device that can be applied to more complex working conditions is provided, and the bearing capacity evaluation accuracy of corrugated steel web U-shaped beam under the action of bending shear and torsion is improved.

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Abstract

The invention discloses a method and a device for calculating the bearing capacity of a corrugated steel web U-shaped beam under the action of bending, shearing and twisting, a steel structure part of the corrugated steel web U-shaped beam is equivalent to a concrete structure for simplified calculation, according to the Vlasov theory, the relationship among the warping bending moment, the warping torque, the free torque and the limit torque is obtained, and the bearing capacity of the corrugated steel web U-shaped beam is calculated. And the warping bending moment is distributed on the loading side semi-U-shaped cross section, the bending moment borne by the semi-U-shaped cross section is superposed, and the ultimate bearing capacity of the component is calculated according to the balance relation of the semi-U-shaped cross section. According to the technical scheme, compared with an existing concrete U-shaped beam model, the concrete U-shaped beam model can be suitable for more complex working conditions.
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Description

Technical Field

[0001] The present invention belongs to the technical field of bearing capacity calculation of reinforced concrete beams, and particularly relates to a method and device for calculating the bearing capacity of a corrugated steel web U-shaped beam under the combined action of bending, shear and torsion. Background Technique

[0002] The corrugated steel web U-shaped beam is a new type of steel-concrete composite bridge proposed in recent years. Compared with the traditional U-shaped beam, the stiffness of the corrugated steel web in the out-of-plane direction is relatively small. The corrugated steel web U-shaped beam is a composite structure in which the concrete web in the prestressed concrete U-shaped beam is replaced by a corrugated steel web. In the traditional prestressed concrete U-shaped beam bridge, the concrete web accounts for 30% - 40% of the self-weight of the main beam. Therefore, the corrugated steel web bridge can greatly reduce the self-weight of the superstructure. At the same time, due to its folding effect, the corrugated steel web does not bear axial force and bending moment and has high shear buckling performance. Due to its excellent structural efficiency, this type of bridge is almost all over the world, including China, Germany, Japan, South Korea and the United States. In recent years, domestic and foreign scholars have conducted a large number of studies on the flexural performance, deflection calculation method, torsional performance, shear performance, etc. of corrugated steel web composite beam bridges.

[0003] In practical engineering applications, due to the action of eccentric traffic loads and lateral wind loads, the structure will be in a state of combined bending, shear and torsion. Under the combined action of bending, shear and torsion, the stress interaction of the corrugated steel web U-shaped beam is more complex than that of the closed cross-section beam. This is because the torsional response of the U-shaped thin-walled member is significantly different from that of the closed cross-section member. At present, there are few studies on the ultimate bearing capacity of corrugated steel web U-shaped beams under eccentric loads. Summary of the Invention

[0004] The technical problem to be solved by the present invention is to provide a method and device for calculating the bearing capacity of a corrugated steel web U-shaped beam under the combined action of bending, shear and torsion.

[0005] To achieve the above object, the present invention adopts the following technical solutions:

[0006] A method for calculating the bearing capacity of a corrugated steel web U-shaped beam under the combined action of bending, shear and torsion, comprising:

[0007] Step S1: Equivalent the steel structure part of the corrugated steel web U-shaped beam to a concrete structure;

[0008] Step S2: Based on the equivalent concrete structure, according to the Vlasov theory, obtain the relationship between the warping moment M ω , the warping torque T ω , the free torque T c and the ultimate torque T;

[0009] Step S3: Distribute the warping moment over the half U-shaped cross-section on the loading side, superimpose the moment borne by this half U-shaped cross-section, and calculate the ultimate bearing capacity of the component based on the equilibrium relationship of the half U-shaped cross-section.

[0010] Preferably, in step S1, the steel structure part of the corrugated steel web U-shaped beam is equivalent to a concrete structure, including: first, the corrugated steel plate is equivalent to a flat steel plate through Castigliano's theorem, and then the flat steel plate is equivalent to a concrete slab through the elastic modulus for calculation. Similarly, the upper and lower flange plates of the corrugated steel and the outer steel plate are equivalent to concrete slabs for calculation.

[0011] Preferably, in step S1, under the action of the axial force F, the axial deformation of the corrugated steel plate is u1 = 2F(c 3 / 2 + 3h 2 a) / E S t 3 , under the action of the axial force F, the axial deformation of the flat steel plate of the same length is u2 = 2F(a + b) / E e t. By u1 = u2, the equivalent elastic modulus E e = 2t 2 (a + b) / (c 3 + 6ah 2 )E s = kE s = nkE. Similarly, the elastic moduli of the upper and lower flange steel plates of the corrugated steel and the outer steel skin are converted to E e1 = n1E, E e2 = n2E; where c is the length of the inclined plate of the corrugated steel plate, a is the length of the corrugated steel plate, b is the axial projection length of the inclined plate, h is the wave height, E S is the elastic modulus of the corrugated steel plate, E e is the elastic modulus of the flat steel plate, E is the elastic modulus of the concrete, E e1 is the elastic modulus of the upper and lower flange steel plates of the corrugated steel, E e2 is the elastic modulus of the outer steel skin.

[0012] Preferably, in step S2, the warping moment M ω is a self-balancing internal force. The warping moment M ω on the loading side is equivalent to a moment M1 and an axial force N1. At this time, the moment on the loading side is M1 + 0.5M, and the axial force is N1.

[0013] Preferably, according to Vlasov's theory, under the conditions of fixed ends and simply supported ends, the relationships between the warping moment M ω , the warping torque T ω , the free torque T c and the torque T are as follows:

[0014]

[0015] Among them, α is the characteristic length of restrained torsion of the corrugated steel web U-shaped beam, G is the shear modulus, K is the torsional moment of inertia of the cross-section, and K = ∑t i 3 h i / 3, where t is the thickness of the U-shaped beam cross-section, and I ω is the main sectorial moment of inertia of the U-shaped beam, and I ω = ∫ A ω 2 dA, where ω is the main sectorial coordinate of the U-shaped beam;

[0016] The applied warping moment M ω is equivalent to the bending moment M1 and the axial force N1, where M1 = ∫ A σ ω y1dA, and N1 = ∫ A σ ω dA.

[0017] Preferably, when the two ends of the corrugated steel web U-shaped beam are fixed, substituting the warping normal stress calculation formula σ ω = M ω ω / I ω into formula (1), the equivalent bending moment M1 and axial force N1 are:

[0018]

[0019] Preferably, when the two ends of the corrugated steel web U-shaped beam are simply supported, substituting the warping normal stress calculation formula σ ω = M ω ω / I ω into formula (2), the equivalent bending moment M1 and axial force N1 are:

[0020]

[0021] In the formula, H1 = ∫ A ωy1dA, and H2 = ∫ A ωdA.

[0022] Preferably, in step S3,

[0023] (1) When the neutral axis is located on the concrete upper flange plate, the loaded half U-shaped cross-section is obtained according to the internal force equilibrium condition:

[0024]

[0025] (2) When the neutral axis is located on the corrugated steel upper flange plate, the loaded half U-shaped cross-section is obtained according to the internal force equilibrium condition:

[0026]

[0027] (3) When the neutral axis is located in the corrugated steel, the following can be obtained for the loaded side semi-U-shaped section according to the internal force equilibrium condition:

[0028]

[0029] Among them, f c is the design value of the compressive strength of concrete, f y is the design value of the tensile and compressive strengths of longitudinal reinforcement, f ds is the design value of the tensile and compressive strengths of steel plates, f p is the design value of the tensile strength of prestressed steel strands, f os is the design value of the tensile strength of the outer steel skin, h t is the thickness of the upper flange of concrete, x c is the distance between the neutral axis and the upper section of concrete, h os is the distance between the outer steel skin and the bottom of the lower flange plate of concrete, h p is the distance between the prestressed steel strands and the bottom surface of the lower flange plate of concrete, h s is the distance between the reinforcement of the lower flange plate of concrete and the bottom surface of the lower flange plate of concrete, h ds is the distance between the lower flange plate of the corrugated steel web and the bottom surface of the lower flange plate of concrete;

[0030] The torque T that meets the requirements obtained from the above formulas (5)(6)(7) is the flexural ultimate torque of the structure.

[0031] The present invention also provides a device for calculating the bearing capacity of a corrugated steel web U-shaped beam under the combined action of bending, shear and torsion, including:

[0032] The first processing module is used to equivalently transform the steel structure part of the corrugated steel web U-shaped beam into a concrete structure;

[0033] The second processing module is used to obtain the relationship between the warping moment M ω , warping torque T ω , free torque T c and the ultimate torque T based on the equivalent concrete structure according to the Vlasov theory; among them, the warping moment M ω is a self-equilibrating internal force, and the warping moment M ω on the loaded side is equivalently transformed into a moment M1 and an axial force N1. At this time, the moment on the loaded side is M1 + 0.5M, and the axial force is N1;

[0034] The third processing module is used to distribute the warping moment on the loaded side semi-U-shaped section, superimpose the moment borne by this semi-U-shaped section, and calculate the ultimate bearing capacity of the component based on the equilibrium relationship of the semi-U-shaped section.

[0035] Preferably, the first processing module first equivalent the corrugated steel plate to a flat steel plate by Castigliano's theorem, and then equivalent the flat steel plate to a concrete slab by elastic modulus for calculation. The upper and lower flange plates of the corrugated steel and the outer steel plate are equivalently calculated as concrete slabs in the same way.

[0036] Based on the original concrete U-shaped beam model, in the U-shaped beam with corrugated steel webs, considering the internal force balance equation of the critical section under eccentric load, the relationship between the ultimate torque T of the component and the magnitude of the eccentric load is obtained, and thus the ultimate torque T of the structure can be obtained. Compared with the existing concrete U-shaped beam model, the method of the present invention can be applied to more complex working conditions. Description of the Drawings

[0037] In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings required for the description of the embodiments or the prior art. Obviously, the drawings in the following description are only the embodiments of the present invention. For those of ordinary skill in the art, without creative efforts, other drawings can also be obtained according to the provided drawings.

[0038] Figure 1 It is a flow chart of the calculation method for the bearing capacity of the U-shaped beam with corrugated steel webs under the combined action of bending, shear and torsion in the embodiment of the present invention;

[0039] Figure 2 It is a schematic diagram of the mid-span section of the U-shaped beam with corrugated steel webs in the present invention;

[0040] Figure 3 It is a schematic diagram of the corrugated steel size in the present invention;

[0041] Figure 4 It is a schematic diagram of the distribution of the warping moment in the present invention;

[0042] Figure 5 It is a schematic diagram of the internal force distribution of the semi-U-shaped section of the neutral axis in the concrete flange plate in the present invention;

[0043] Figure 6 It is a schematic diagram of the internal force distribution of the semi-U-shaped section of the neutral axis in the corrugated steel flange plate in the present invention;

[0044] Figure 7 It is a schematic diagram of the internal force distribution of the semi-U-shaped section of the neutral axis in the corrugated steel in the present invention. Detailed Embodiments

[0045] Next, the technical solutions in the embodiments of the present invention will be clearly and completely described in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments. All other embodiments obtained by those of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention.

[0046] To make the above objects, features, and advantages of the present invention more obvious and understandable, the present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0047] Embodiment 1:

[0048] As Figure 1 shown, the embodiment of the present invention provides a method for calculating the bearing capacity of a corrugated steel web U-shaped beam under the combined action of bending, shear, and torsion, including the following steps:

[0049] Step S1, as Figure 2 shown, the structure is a steel-concrete structure. For the sake of simplified calculation, the steel structure part of the corrugated steel web U-shaped beam needs to be equivalent to a concrete structure;

[0050] Step S2, based on the equivalent concrete structure, according to the Vlasov theory, obtain the relationship between the warping moment M ω , warping torque T ω , free torque T c and the ultimate torque T; among them, the warping moment M ω is a self-equilibrating internal force, and the applied warping moment M ω can be equivalently converted into a moment M1 and an axial force N1. At this time, the applied moment is M1 + 0.5M, and the axial force is N1;

[0051] Step S3, distribute the warping moment on the half U-shaped cross-section on the loading side, and superimpose the moment borne by this half U-shaped cross-section to calculate the ultimate bearing capacity of the component according to the equilibrium relationship of the half U-shaped cross-section; among them, conduct a force analysis on the half U cross-section on the loading side at the mid-span to obtain the axial force equilibrium and moment equilibrium equations on the half U cross-section on the loading side at the mid-span, and calculate the torque T, which is the ultimate torque of the structure.

[0052] As an implementation manner of the embodiment of the present invention, in step S1, when the steel structure part is equivalent to a concrete structure, it includes: the corrugated steel plate needs to be first equivalent to a flat steel plate through the Castigliano's theorem, and then equivalent to a concrete plate through the elastic modulus for calculation. The upper and lower flange plates of the corrugated steel and the outer steel plate are equivalently converted into concrete plates for calculation in the same way.

[0053] As Figure 3 shown, under the action of the axial force F, the axial deformation of the corrugated steel plate is u1 = 2F(c 3 / 2 + 3h2 a) / E S t 3 , under the action of the axial force F, the axial deformation of the flat steel plate with the same length is u2 = 2F(a + b) / E e t. Through u1 = u2, the equivalent elastic modulus E e = 2t 2 (a + b) / (c 3 + 6ah 2 )E s = kE s = nkE. Similarly, the elastic moduli of the corrugated steel upper and lower flange steel plates and the outer steel skin are converted to E e1 = n1E, E e2 = n2E.

[0054] In the formula, c is the length of the inclined plate of the corrugated steel plate, a is the plate length of the corrugated steel plate, b is the axial projection length of the inclined plate, h is the wave height, E S is the elastic modulus of the corrugated steel plate, E e is the elastic modulus of the flat steel plate, E is the elastic modulus of the concrete, E e1 is the elastic modulus of the corrugated steel upper and lower flange steel plates, E e2 is the elastic modulus of the outer steel skin.

[0055] As an implementation manner of the embodiment of the present invention, in step S2, according to the Vlasov theory, the warping moment M ω , the warping torque T ω , the free torque T c and the relationship between the torque T are:

[0056]

[0057] Among them, α is the constrained torsion characteristic length of the corrugated steel web U-shaped beam, G is the shear modulus, G = 0.4E, K is the section torsional moment of inertia, K = ∑t i 3 h i / 3, t is the thickness of the U-shaped beam section, I ω is the main sectorial moment of inertia of the U-shaped beam, I ω = ∫ A ω 2 dA, ω is the main sectorial coordinate of the U-shaped beam.

[0058] As Figure 4 shown, the applied warping moment M ω is equivalent to the moment M1 and the axial force N1, where M1 = ∫ A σ ω y1dA, N1 = ∫ A s σω dA。

[0059] When the two ends of the corrugated steel web U-shaped beam are fixed, substituting the warping normal stress calculation formula σ ω = M ω ω / I ω into formula (1), the equivalent bending moment M1 and axial force N1 are as follows:

[0060]

[0061] When the two ends of the corrugated steel web U-shaped beam are simply supported, substituting the warping normal stress calculation formula σ ω = M ω ω / I ω into formula (2), the equivalent bending moment M1 and axial force N1 are as follows:

[0062]

[0063] In the formula, H1 = ∫ A ωy1dA, H2 = ∫ A ωdA。

[0064] As an implementation manner of the embodiment of the present invention, in step S3, when analyzing the force of the half U-section loaded at the mid-span, it is necessary to determine the position of the neutral axis.

[0065] (1) As shown in Figure 5 , when the neutral axis is located on the concrete upper flange plate, the loaded half U-shaped section obtains according to the internal force balance condition:

[0066]

[0067] (2) As shown in Figure 6 , when the neutral axis is located on the corrugated steel upper flange plate, the loaded half U-shaped section obtains according to the internal force balance condition:

[0068]

[0069] (3) As shown in Figure 7 , when the neutral axis is located on the corrugated steel, the loaded half U-shaped section obtains according to the internal force balance condition:

[0070]

[0071] In the formula, f c is the design value of the concrete compressive strength, f y is the design value of the tensile and compressive strengths of the longitudinal reinforcement, f ds is the design value of the tensile and compressive strengths of the steel plate, f p is the design value of the tensile strength of the prestressed steel strand, f os is the design value of the tensile strength of the outer steel skin, ht is the thickness of the concrete upper flange, x c is the distance between the neutral axis and the upper cross-section of the concrete, h os is the distance between the outer steel skin and the bottom of the concrete lower flange plate, h p is the distance between the prestressed steel strand and the bottom surface of the concrete lower flange plate, h s is the distance between the reinforcement of the concrete lower flange plate and the bottom surface of the concrete lower flange plate, h ds is the distance between the lower flange plate of the corrugated steel web and the bottom surface of the concrete lower flange plate.

[0072] The torque T that meets the requirements obtained from the above formulas (5), (6), and (7) is the flexural ultimate torque of the structure.

[0073] Example 2:

[0074] The embodiment of the present invention also provides a bearing capacity calculation device for a corrugated steel web U-shaped beam under the combined action of bending, shear, and torsion, including:

[0075] The first processing module is used to equivalently transform the steel structure part of the corrugated steel web U-shaped beam into a concrete structure;

[0076] The second processing module is used to obtain the warping moment M ω , warping torque T ω , free torque T c and the relationship between the ultimate torque T based on the equivalent concrete structure according to the Vlasov theory; among them, the warping moment M ω is a self-balanced internal force, and the measured warping moment M ω is equivalently transformed into a moment M1 and an axial force N1. At this time, the measured moment is M1 + 0.5M, and the axial force is N1;

[0077] The third processing module is used to distribute the warping moment on the loaded side half U-shaped cross-section, superimpose the moment borne by this half U-shaped cross-section, and calculate the ultimate bearing capacity of the component based on the equilibrium relationship of the half U-shaped cross-section.

[0078] As an implementation manner of the embodiment of the present invention, the first processing module first equivalently transforms the corrugated steel plate into a flat steel plate through the Castigliano's theorem, and then equivalently transforms the flat steel plate into a concrete plate through the elastic modulus for calculation. The upper and lower flange plates of the corrugated steel and the outer steel plates are equivalently transformed into concrete plates for calculation in the same way.

[0079] The above-described embodiments are only descriptions of the preferred embodiments of the present invention, and do not limit the scope of the present invention. Without departing from the design spirit of the present invention, various deformations and improvements made by those of ordinary skill in the art to the technical solutions of the present invention shall fall within the protection scope determined by the claims of the present invention.

Claims

1. A calculation method for the bearing capacity of a corrugated steel web U-shaped beam under combined bending, shear and torsion, characterized in that, Including: Step S1: Equivalent the steel structure part of the corrugated steel web U-shaped beam to a concrete structure; Step S2: Based on the equivalent concrete structure, obtain the warping moment M according to the Vlasov theory ω , the warping torque T ω , the free torque T c and the relationship between the ultimate torque T; Step S3: Distribute the warping moment on the half U-shaped section on the loading side, superimpose the moment borne by this half U-shaped section, and calculate the ultimate bearing capacity of the component based on the equilibrium relationship of the half U-shaped section.

2. The bearing capacity calculation method of the corrugated steel web U-shaped beam under the combined action of bending, shear and torsion according to claim 1, characterized in that In Step S1, equivalent the steel structure part of the corrugated steel web U-shaped beam to a concrete structure, including: First, equivalent the corrugated steel plate to a flat steel plate through Castigliano's theorem, and then equivalent the flat steel plate to a concrete plate through the elastic modulus for calculation. Similarly, equivalent the upper and lower flange plates of the corrugated steel and the outer steel plate to concrete plates for calculation.

3. The bearing capacity calculation method of the corrugated steel web U-shaped beam under the combined action of bending, shear and torsion as described in claim 2, characterized in that, In step S1, under the action of the axial force F, the axial deformation of the corrugated steel plate is u1 = 2F(c 3 / 2 + 3h 2 a) / E S t 3 , and under the action of the axial force F, the axial deformation of the flat steel plate of the same length is u2 = 2F(a + b) / E e t. By u1 = u2, the equivalent elastic modulus E e = 2t 2 (a + b) / (c 3 + 6ah 2 )E s = kE s = nkE. Similarly, the elastic moduli of the upper and lower flange steel plates of the corrugated steel and the outer steel skin are converted to E e1 = n1E, E e2 = n2E; where c is the length of the inclined plate of the corrugated steel plate, a is the length of the plate of the corrugated steel plate, b is the axial projection length of the inclined plate, h is the wave height, E S is the elastic modulus of the corrugated steel plate, E e is the elastic modulus of the flat steel plate, E is the elastic modulus of the concrete, E e1 is the elastic modulus of the upper and lower flange steel plates of the corrugated steel, E e2 is the elastic modulus of the outer steel skin.

4. The bearing capacity calculation method of the corrugated steel web U-shaped beam under the combined action of bending, shear and torsion as described in claim 3, characterized in that, In step S2, the warping moment M ω is a self-equilibrating internal force. The applied warping moment M ω is equivalent to a moment M1 and an axial force N1. At this time, the applied moment is M1 + 0.5M, and the axial force is N1.

5. The bearing capacity calculation method of the corrugated steel web U-shaped beam under the combined action of bending, shear and torsion according to claim 4, characterized in that According to the Vlasov theory, the relationship between the warping moment M ω , the warping torque T ω , the free torque T c and the torque T is as follows: Among them, α is the characteristic length of the restrained torsion of the corrugated steel web U-shaped beam, G is the shear modulus, K is the torsional moment of inertia of the cross-section, K = ∑t i 3 h i / 3, t is the thickness of the U-shaped beam cross-section, I ω is the main sectorial moment of inertia of the U-shaped beam, I ω = ∫ A ω 2 dA, ω is the main sectorial coordinate of the U-shaped beam; The loading warping moment M ω is equivalent to moment M1 and axial force N1, where M1 = ∫ A σ ω y1dA, N1 = ∫ A σ ω dA.

6. The bearing capacity calculation method of the corrugated steel web U-shaped beam under the combined action of bending, shear and torsion as described in claim 5, characterized in that, When the two ends of the corrugated steel web U-shaped beam are fixed, substituting the warping normal stress calculation formula σ ω = M ω ω / I ω into formula (1), the equivalent bending moment M1 and axial force N1 are as follows:

7. The bearing capacity calculation method of the corrugated steel web U-shaped beam under the combined action of bending, shear and torsion as described in claim 5, characterized in that, When the ends of the corrugated steel web U-shaped beam are simply supported, substituting the warping normal stress calculation formula σ ω = M ω ω / I ω into formula (2), the equivalent bending moment M1 and axial force N1 are as follows: Wherein, H1 = ∫ A ωy1dA, H2 = ∫ A ωdA.

8. The bearing capacity calculation method of the corrugated steel web U-shaped beam under the action of eccentric load and combined bending, shear and torsion as described in claim 7, characterized in that, In Step S3, (1) When the neutral axis is located in the concrete upper flange plate, the following is obtained for the half U-shaped section on the loading side according to the internal force equilibrium condition: (2) When the neutral axis is located in the upper flange plate of the corrugated steel, the following is obtained for the half U-shaped section on the loading side according to the internal force equilibrium condition: (3) When the neutral axis is located in the corrugated steel, the following is obtained for the half U-shaped section on the loading side according to the internal force equilibrium condition: Among them, f c is the design value of the compressive strength of concrete, f y is the design values of the tensile and compressive strengths of longitudinal reinforcement, f ds is the design values of the tensile and compressive strengths of steel plates, f p is the design value of the tensile strength of prestressed steel strands, f os is the design value of the tensile strength of the outer steel skin, h t is the thickness of the upper flange of concrete, x c is the distance between the neutral axis and the upper section of concrete, h os is the distance between the outer steel skin and the bottom of the lower flange plate of concrete, h p is the distance between the prestressed steel strands and the bottom surface of the lower flange plate of concrete, h s is the distance between the reinforcement of the lower flange plate of concrete and the bottom surface of the lower flange plate of concrete, h ds is the distance between the lower flange plate of the corrugated steel web and the bottom surface of the lower flange plate of concrete; The torque T that meets the requirements obtained from the above formulas (5), (6), and (7) is the ultimate bending torque of the structure.

9. A bearing capacity calculation device for a corrugated steel web U-shaped beam under the combined action of bending, shear and torsion, characterized in that, Including: The first processing module is used to equivalent the steel structure part of the corrugated steel web U-shaped beam to a concrete structure; The second processing module is used to obtain the warping moment M based on the equivalent concrete structure according to the Vlasov theory ω , the warping torque T ω , the free torque T c and the relationship between the ultimate torque T; among them, the warping moment M ω is a self-balanced internal force, and the measured warping moment M ω is equivalent to the moment M1 and the axial force N1. At this time, the measured moment is M1 + 0.5M, and the axial force is N1; The third processing module is used to distribute the warping moment on the half U-shaped section on the loading side, superimpose the moment borne by this half U-shaped section, and calculate the ultimate bearing capacity of the component based on the equilibrium relationship of the half U-shaped section.

10. The bearing capacity calculation device for the corrugated steel web U-shaped beam under the action of eccentric load and combined bending, shear and torsion as described in claim 9, characterized in that The first processing module first equivalent the corrugated steel plate to a flat steel plate through Castigliano's theorem, and then equivalent the flat steel plate to a concrete plate through the elastic modulus for calculation. Similarly, equivalent the upper and lower flange plates of the corrugated steel and the outer steel plate to concrete plates for calculation.

Citation Information

Patent Citations

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