Method and system for calculating temperature expansion zero point of single-fixed support continuous beam

Abstract

The application discloses a kind of single fixed support continuous beam temperature expansion zero point calculation method and system, by obtaining continuous beam data, the distance of temperature expansion zero point and fixed pier is unknown, according to continuous beam data to establish balance equation;Under the premise that all movable supports appear sliding, the balance equation is solved, and the initial temperature expansion zero point is obtained;Calculate the displacement of pier top beam body caused by temperature change, and the pier top beam body is the pier top beam body where movable support is located;The displacement of pier top beam body required by movable support sliding is compared with the displacement of pier top beam body caused by temperature change, to determine whether each movable support appears sliding, if there is movable support not appearing sliding, then the frictional resistance of sliding support is corrected, and the corrected temperature expansion zero point is obtained by combining the balance equation, the temperature expansion zero point of single fixed support continuous beam structure can be accurately determined, the accuracy of seamless line track stress calculation is improved, and the safety of bridge design is ensured.

Description

Technical Field

[0001] This invention relates to the field of bridge engineering technology, and in particular to a method and system for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support. Background Technology

[0002] The zero point of temperature expansion and contraction of a bridge structure is crucial for the stress on seamless track. Insufficient understanding of the location of the zero point of temperature expansion and contraction of a bridge can easily lead to an excessively large span between the zero points of temperature expansion and contraction of adjacent bridge sections, resulting in excessive interaction force between the beam and the track, and making the stress on the seamless track dangerous. Therefore, accurately finding the zero point of temperature expansion and contraction of the bridge structure is essential for the stress calculation of seamless track.

[0003] Single-fixed-support continuous beams are widely used in bridge design. Conventionally, the zero point of temperature expansion for a single-fixed-support continuous beam is considered to be at the fixed support location. However, theoretical analysis, finite element simulation calculations, and on-site monitoring measurements show that the zero point of temperature expansion for a single-fixed-support continuous beam is not located at the fixed support. Due to the static friction of the movable support, the zero point of temperature expansion for a single-fixed-support continuous beam shifts from the fixed support location, and this phenomenon is more pronounced in asymmetrically arranged fixed supports and in long continuous beams.

[0004] Using the fixed support location directly as the zero point of structural temperature expansion and contraction will introduce errors into the stress calculation of seamless track, posing a huge safety hazard to bridge design. Therefore, it is necessary to accurately determine the actual zero point of temperature expansion and contraction of a single fixed support continuous beam structure. Summary of the Invention

[0005] The purpose of this invention is to provide a method and system for calculating the zero point of temperature expansion in a continuous beam with a single fixed support. This method addresses the issue that the zero point of temperature expansion in a continuous beam with a single fixed support shifts from the fixed support position due to the static friction of the movable supports. Directly using the fixed support position as the zero point of temperature expansion introduces errors in the stress calculation of seamless track, posing a significant safety hazard to bridge design. The invention obtains continuous beam data, sets the zero point of temperature expansion as an unknown, and establishes an equilibrium equation based on the continuous beam data. Under the premise that all movable supports have slipped, the equilibrium equation is solved to obtain the initial zero point of temperature expansion. Based on the initial zero point of temperature expansion, the displacement of the pier top beam caused by temperature changes is calculated, where the pier top beam is the pier top beam where the movable supports are located. The displacement of the pier top beam required for the movable supports to slide is compared with the displacement of the pier top beam caused by temperature changes to determine whether each movable support has slipped. If any movable support has not slipped, the frictional resistance of the sliding support is corrected, and combined with the equilibrium equation, the corrected zero point of temperature expansion is obtained. It can accurately determine the zero point of temperature expansion and contraction of a single fixed support continuous beam structure, thereby determining the span of the zero point of temperature expansion and contraction of adjacent beams, accurately calculating the track stress of seamless track on the bridge, ensuring the safety of the seamless track structure, and has significant social benefits.

[0006] In a first aspect, the present invention provides a method for calculating the zero point of thermal expansion and contraction of a continuous beam with a single fixed support, comprising the following steps: Acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load at each movable support, the static friction coefficient of the movable support, and the temperature change. The distance between the zero point of temperature expansion and contraction and the fixed pier is set as an unknown, and an equilibrium equation is established based on the continuous beam data; Under the premise that all movable supports slip, the equilibrium equations are solved to obtain the initial zero point of thermal expansion and contraction; Based on the initial temperature expansion zero point, the displacement of the pier top beam caused by temperature change is calculated, where the pier top beam is the pier top beam where the movable support is located. The displacement of the pier top beam required for the sliding of the movable support is compared with the displacement of the pier top beam caused by temperature change to determine whether each movable support has slid. If any movable support has not slid, the frictional resistance of the sliding support is corrected, and the corrected temperature expansion zero point is obtained by combining the equilibrium equation.

[0007] According to the method for calculating the zero point of temperature expansion and contraction of a single fixed-support continuous beam provided by the present invention, the continuous beam data further includes the longitudinal stiffness of the substructure of the fixed pier, the elastic modulus of the beam material, and the average cross-sectional area of ​​the beam. The method for establishing equilibrium equations based on the continuous beam data includes: The distance between the zero point of temperature expansion and the fixed pier is set as an unknown. The longitudinal displacement caused by the expansion and contraction deformation of the beam at the zero point of temperature expansion is calculated based on the coefficient of thermal expansion of the beam material, the temperature change value, and the distance between the zero point of temperature expansion and the fixed pier. The horizontal force of the fixed pier caused by the imbalance of static friction resistance between the movable supports on both sides of the fixed support and the longitudinal stiffness of the substructure of the fixed pier are used to calculate the overall longitudinal displacement of the continuous beam caused by the horizontal force of the fixed pier. The method for calculating the horizontal force of the fixed pier caused by the imbalance of static friction resistance between the movable supports on both sides of the fixed support is the absolute value of the difference between the sum of the static friction resistance of all movable supports on the first side of the fixed support and the sum of the static friction resistance of all movable supports on the second side. Set the distance between the zero point of temperature expansion and the fixed support as an unknown. Calculate the longitudinal displacement at the zero point of temperature expansion caused by static friction based on the distance between the zero point of temperature expansion and the fixed support, the sum of the static friction of all sliding supports on the side where the zero point of temperature expansion is located, the elastic modulus of the beam material, and the average cross-sectional area of ​​the beam. The equilibrium equation is established based on the zero point of temperature expansion and contraction, which is the point where the expansion and contraction displacement of the beam is zero under the temperature effect. The established equilibrium equation is: longitudinal displacement caused by beam expansion and contraction at the zero point of temperature expansion and contraction = longitudinal displacement at the zero point of temperature expansion and contraction caused by static friction + longitudinal displacement of the continuous beam as a whole.

[0008] According to the method for calculating the zero point of temperature expansion and contraction of a single fixed-support continuous beam provided by the present invention, the formula for calculating the longitudinal displacement caused by the expansion and contraction deformation of the beam at the zero point of temperature expansion and contraction is as follows: X1=α·L·T Where X1 is the longitudinal displacement caused by the expansion and contraction of the beam at the zero point of temperature expansion, α is the coefficient of thermal linear expansion of the beam material, L is the distance between the zero point of temperature expansion and the fixed pier, and T is the temperature change value.

[0009] According to the method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support provided by the present invention, the continuous beam data also includes the longitudinal stiffness of the substructure of the fixed pier where the fixed support is located. The formula for calculating the overall longitudinal displacement of the continuous beam caused by the horizontal force of the fixed pier is as follows: X2=F3 / K Where X2 is the overall longitudinal displacement of the continuous beam caused by the horizontal force of the fixed pier, K is the longitudinal stiffness of the substructure of the fixed pier, F3 is the horizontal force of the fixed pier caused by the imbalance of static friction resistance of the movable supports on both sides of the fixed support, F3=|ΣF1-ΣF2|, F1 is the static friction resistance of the movable support located on the first side of the fixed support, ΣF1 is the sum of the static friction resistance of all movable supports located on the first side of the fixed support, F2 is the static friction resistance of the movable support located on the second side of the fixed support, ΣF2 is the sum of the static friction resistance of all movable supports located on the second side of the fixed support, when the sliding support slides, the static friction resistance of the movable support located on the first side of the fixed support is F1=μ·N, the static friction resistance of the movable support located on the second side of the fixed support is F2=μ·N, μ is the static friction coefficient of the movable support, and N is the dead load vertical force of the movable support.

[0010] According to the method for calculating the zero point of temperature expansion in a continuous beam with a single fixed support provided by the present invention, when the zero point of temperature expansion is located on the first side of the fixed support, the formula for calculating the longitudinal displacement at the zero point of temperature expansion caused by static friction is as follows: X3 = ΣF1·L / (E·A) Where X3 is the longitudinal displacement at the zero point of temperature expansion caused by static friction, F1 is the static friction of the movable support located on the first side of the fixed support, ΣF1 is the sum of the static friction of all movable supports located on the first side of the fixed support, L is the distance between the zero point of temperature expansion and the fixed pier, E is the elastic modulus of the beam material, and A is the average cross-sectional area of ​​the beam.

[0011] According to the method for calculating the zero point of temperature expansion of a continuous beam with a single fixed support provided by the present invention, the method for calculating the displacement of the beam at the pier top where the movable support is located due to temperature change based on the zero point of temperature expansion includes: Assuming that all sliding supports experience sliding, and the number of movable supports on the first side of the fixed support is greater than the number of movable supports on the second side of the fixed support, for the Mth movable support located on the first side of the fixed support and counted from the fixed support, the distance L1 from the movable support to the zero point of temperature expansion and contraction is L1=M·Lp-L, and the displacement of the beam at the top of the pier where the movable support is located due to temperature change is α·L1·T+(ΣF1-F1)·L1 / (E·A). For the Mth movable support located on the second side of the fixed support and calculated from the fixed support, the distance from the movable support to the zero point of temperature expansion and contraction is L1 = M·Lp + L, and the displacement of the beam at the top of the pier where the movable support is located due to temperature change is α·L1·T + (ΣF2-F2)·L1 / (E·A). Where F1 is the static friction resistance of the movable support located on the first side of the fixed support, Lp is the main span length of the continuous beam, M is the ordinal number of the movable support on the same side starting from the fixed support, ΣF1 is the sum of the static friction resistance of all movable supports located on the first side of the fixed support, L is the distance between the zero point of temperature expansion and the fixed pier, E is the elastic modulus of the beam material, A is the average cross-sectional area of ​​the beam, F2 is the static friction resistance of the movable support located on the second side of the fixed support, and ΣF2 is the sum of the static friction resistance of all movable supports located on the second side of the fixed support.

[0012] According to the method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support provided by the present invention, the method for calculating the displacement of the pier top beam required for sliding of the movable support includes: Assuming that all sliding supports slide, the displacement of the pier top beam required for the sliding of the movable support is calculated according to the formula F1 / K1, where F1 is the static friction resistance of the movable support located on the first side of the fixed support, and K1 is the longitudinal stiffness of the substructure of the movable pier.

[0013] According to the method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support provided by the present invention, the displacement of the pier top beam required for the sliding of the movable support is compared with the displacement of the pier top beam caused by temperature change to determine whether each movable support has slid. If any movable support has not slid, the method for correcting the frictional resistance of the sliding support includes: If the displacement of the pier top beam required for the current movable bearing to slide is greater than the displacement of the pier top beam caused by temperature changes, it is determined that the current movable bearing has not slipped. Therefore, the frictional resistance of the current movable bearing is corrected to the displacement of the pier top beam where the movable bearing is located due to temperature changes. Longitudinal stiffness K1 of the substructure of the movable pier; When the displacement of the pier top beam required for the current movable support to slide is less than or equal to the displacement of the pier top beam caused by temperature changes, it is determined that the current movable support has slid.

[0014] According to the method for calculating the zero point of temperature expansion and contraction of a single fixed-support continuous beam provided by the present invention, the method for determining whether each movable support has slipped is as follows: Determine the fixed support, and number all movable supports on the same side of the fixed support in order of distance from the fixed support as the 1st, 2nd, ..., Mth, ..., Pth movable supports, where P is the total number of movable supports on that side; First, determine whether the first movable support counting from the fixed support has slid. If the first movable support has slid, then determine whether all P movable supports on the same side of the fixed support have slid. If the first movable support does not slide, further determine whether the second, third, ..., M ... P movable supports slide. If the Mth movable support slides, then determine whether the (M+1)th to Pth movable supports on the same side as the fixed support slide. If the Mth movable support does not slide, further determine whether the (M+1)th movable support slides, until the first movable support that slides is found or all movable supports on the same side do not slide, then the determination ends. Use the same method to determine whether the movable support on the other side of the fixed support has slipped.

[0015] Secondly, the present invention also provides a calculation system for the zero point of temperature expansion and contraction of a continuous beam with a single fixed support, used to implement the calculation method for the zero point of temperature expansion and contraction of a continuous beam with a single fixed support provided in the first aspect of the present invention and any optional embodiment thereof, comprising: The continuous beam data acquisition module is used to acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load of each movable support, the static friction coefficient of the movable support, and the temperature change. The equilibrium equation establishment module is used to set the distance between the zero point of temperature expansion and contraction and the fixed pier as unknowns, and to establish equilibrium equations based on continuous beam data. The temperature expansion zero-point calculation module is used to solve the equilibrium equation and obtain the initial temperature expansion zero point under the premise that all movable supports have slipped. The pier top beam displacement calculation module is used to calculate the displacement of the pier top beam caused by temperature changes based on the initial temperature expansion zero point, wherein the pier top beam is the pier top beam where the movable support is located; The sliding bearing temperature expansion zero-point correction module is used to compare the displacement of the pier top beam required for the sliding of the movable bearing with the displacement of the pier top beam caused by temperature changes, to determine whether each movable bearing has slipped. If any movable bearing has not slipped, the frictional resistance of the sliding bearing is corrected, and the corrected temperature expansion zero point is obtained by combining the equilibrium equation.

[0016] Thirdly, the present invention also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the method for calculating the zero point of temperature expansion and contraction of a single fixed-support continuous beam as described above.

[0017] Fourthly, the present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the method for calculating the zero point of temperature expansion and contraction of a single fixed-support continuous beam as described above.

[0018] The present invention also provides a computer program product, including a computer program that, when executed by a processor, implements the method for calculating the zero point of temperature expansion and contraction of a single fixed-support continuous beam as described above.

[0019] Compared with the prior art, the beneficial effects of the present invention are as follows: It can accurately determine the zero point of temperature expansion and contraction of a single fixed-support continuous beam structure, thereby determining the span of the zero point of temperature expansion and contraction of adjacent beams, accurately calculating the track stress of seamless track on the bridge, ensuring the safety of the seamless track structure, and has significant social benefits. Attached Figure Description

[0020] To more clearly illustrate the technical solutions in this invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0021] Figure 1 A schematic diagram of beam expansion and contraction under heating conditions provided in an embodiment of this application; Figure 2 A schematic diagram of the longitudinal displacement of a bridge caused by the unbalanced frictional resistance of a movable support under heating conditions, provided in an embodiment of this application. Figure 3 A schematic diagram of beam compression deformation caused by unbalanced frictional resistance of movable support under heating conditions, provided in an embodiment of this application. Figure 4 This is a schematic diagram of the structure of the electronic device provided by the present invention; Wherein: 1-Continuous beam; 2.1-Fixed pier; 2.2-Movable pier; X1-Longitudinal displacement caused by beam expansion and contraction at the zero point of temperature expansion; F1-Static friction resistance of the movable pier located on the first side of the fixed support; F2-Static friction resistance of the movable pier located on the second side of the fixed support; F3-Horizontal force of the fixed pier caused by the imbalance of static friction resistance of the movable piers on both sides of the fixed support; X2-Longitudinal displacement of the continuous beam caused by the horizontal force of the fixed pier; X3-Longitudinal displacement at the zero point of temperature expansion caused by static friction resistance. Detailed Implementation

[0022] The embodiments of the present invention will be described in further detail below with reference to the accompanying drawings and examples. The following examples are for illustrative purposes only and should not be construed as limiting the scope of the invention.

[0023] In the description of this invention, it should be noted that the terms "center," "longitudinal," "lateral," "upper," "lower," "front," "rear," "left," "right," "vertical," "horizontal," "top," "bottom," "inner," and "outer," etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are used only for the convenience of describing the invention and for simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on the invention. Furthermore, the terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance.

[0024] In the description of this invention, it should be noted that, unless otherwise explicitly specified and limited, the terms "connected" and "linked" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral connection; they can refer to a mechanical connection or an electrical connection; they can refer to a direct connection or an indirect connection through an intermediate medium. Those skilled in the art can understand the specific meaning of the above terms in this invention based on the specific circumstances.

[0025] This invention provides a method for calculating the zero point of thermal expansion of a continuous beam with a single fixed support, comprising the following steps: S1, acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load on each movable support, the static friction coefficient of the movable support, and the temperature change. S2, set the distance between the zero point of temperature expansion and contraction and the fixed pier as an unknown, and establish the equilibrium equation based on the continuous beam data; S3, under the premise that all movable supports have slipped, solve the equilibrium equation to obtain the initial temperature expansion zero point; S4, Based on the initial temperature expansion zero point, calculate the displacement of the pier top beam caused by temperature change, where the pier top beam is the pier top beam where the movable support is located; S5. Compare the displacement of the pier top beam required for the sliding of the movable support with the displacement of the pier top beam caused by temperature change to determine whether each movable support has slid. If any movable support has not slid, then the frictional resistance of the sliding support is corrected, and combined with the equilibrium equation, the corrected temperature expansion zero point is obtained.

[0026] This invention acquires continuous beam data, sets the zero point of temperature expansion as an unknown, and establishes an equilibrium equation based on the continuous beam data. Under the premise that all movable supports slide, the equilibrium equation is solved to obtain the initial zero point of temperature expansion. Based on the initial zero point of temperature expansion, the displacement of the pier-top beam caused by temperature changes is calculated, where the pier-top beam is the pier-top beam where the movable supports are located. The displacement of the pier-top beam required for the movable supports to slide is compared with the displacement of the pier-top beam caused by temperature changes to determine whether each movable support has slided. If any movable support has not slided, the frictional resistance of the sliding support is corrected, and combined with the equilibrium equation, the corrected zero point of temperature expansion is obtained. This addresses the technical problem that the zero point of temperature expansion of a continuous beam with a single fixed support shifts from the fixed support position due to the static frictional resistance of the movable supports. Directly using the fixed support position as the zero point of temperature expansion introduces errors in the stress calculation of seamless track, posing a significant safety hazard to bridge design. It can accurately determine the zero point of temperature expansion and contraction of a single fixed support continuous beam structure, thereby determining the span of the zero point of temperature expansion and contraction of adjacent beams, accurately calculating the track stress of seamless track on the bridge, ensuring the safety of the seamless track structure, and has significant social benefits.

[0027] In step S1 of this embodiment of the invention, continuous beam data is obtained.

[0028] The data for continuous beams include the coefficient of thermal expansion of the beam material, the vertical force of the dead load at each movable support, the static friction coefficient of the movable support, the longitudinal stiffness of the substructure of the fixed pier, the elastic modulus of the beam material, the temperature change, and the average cross-sectional area of ​​the beam.

[0029] In step S2 of this embodiment of the invention, the distance between the zero point of temperature expansion and contraction and the fixed pier is set as an unknown, and an equilibrium equation is established based on the continuous beam data.

[0030] Before being affected by the static friction of the movable support, the zero point of temperature expansion was at the position of the fixed support. Therefore, after being shifted by the static friction of the movable support, the zero point of temperature expansion will deviate from the position of the fixed support. The distance between the zero point of temperature expansion and the fixed support is set as an unknown L.

[0031] Based on the coefficient of thermal expansion of the beam material, an equation is established for the longitudinal displacement caused by the beam's expansion and contraction at the zero point of thermal expansion. The distance between the zero point of thermal expansion and the fixed pier is set as an unknown. Based on the coefficient of thermal expansion of the beam material, the temperature change value, and the distance between the zero point of thermal expansion and the fixed pier, an equation for the beam's expansion and contraction is established, and the longitudinal displacement caused by the beam's expansion and contraction at the zero point of thermal expansion is calculated.

[0032] like Figure 1As shown, the continuous beam 1 includes fixed supports and movable supports. The fixed supports are set on fixed pier 2.1; the movable supports are set on movable pier 2.2. Under the preset temperature change conditions, the beam will undergo free expansion and contraction deformation. The free expansion and contraction deformation of the beam is zero point from the fixed supports and extends towards the beam ends. At a distance L (in meters) from the fixed supports (i.e., at the zero point of temperature expansion and contraction), the resulting longitudinal displacement X1 = α·L·T, where X1 is the longitudinal displacement caused by the expansion and contraction deformation of the beam at the zero point of temperature expansion and contraction, α is the coefficient of thermal linear expansion of the beam material, and T is the temperature change value.

[0033] In this embodiment of the invention, the temperature change value T = 15℃, and the coefficient of thermal expansion of the beam material α = 1.0 × 10⁻⁶. -5 , X1 = α·L·T = 1.0 × 10 -5 ×(L×10 2 ) × 15 = 0.015Lcm like Figure 2 As shown, the overall longitudinal displacement of the continuous beam caused by the horizontal force of the fixed pier caused by the imbalance of static friction resistance of the movable supports on both sides of the fixed support and the longitudinal stiffness of the substructure of the fixed pier are calculated. The horizontal force of the fixed pier caused by the imbalance of static friction resistance of the movable supports on both sides of the fixed support is calculated as the absolute value of the difference between the sum of the static friction resistance of all movable supports on the first side of the fixed support and the sum of the static friction resistance of all movable supports on the second side. Let F1 be the static friction resistance of the movable support located on the first side of the fixed support, and F2 be the static friction resistance of the movable support located on the second side of the fixed support.

[0034] Under preset temperature conditions, the expansion and contraction of the beam will cause longitudinal sliding of the movable supports. Since the movable supports have a certain amount of frictional resistance, for asymmetrically arranged fixed supports, the static frictional resistances F1 and F2 of the movable supports on both sides of the fixed support cannot be balanced. This will generate a horizontal force F3 = |ΣF1 - ΣF2| on the fixed support, where F3 is the horizontal force on the fixed pier caused by the imbalance of static frictional resistances of the movable supports on both sides of the fixed support, F1 is the static frictional resistance of the movable support on the first side of the fixed support, ΣF1 is the sum of the static frictional resistances of all movable supports on the first side of the fixed support, F2 is the static frictional resistance of the movable supports on the second side of the fixed support, and ΣF2 is the sum of the static frictional resistances of all movable supports on the second side of the fixed support. This horizontal force acts on the top of the fixed pier, causing a longitudinal displacement X2 = F3 / K, where K is the longitudinal stiffness of the substructure of the fixed pier. The continuous beam is connected to the top of the fixed pier through fixed supports, therefore the continuous beam will also experience an overall longitudinal displacement X2.

[0035] Following the previous example, in this embodiment of the invention, the continuous beam is an 11-span main span Lp=130m continuous beam with a total of 12 piers. Piers 1# to 10# are equipped with movable supports, pier 11# is equipped with fixed supports, and pier 12# is equipped with movable supports. The static friction coefficient of the movable support is μ=0.03, the dead load vertical force of the movable support is N=200000kN, and the longitudinal stiffness of the substructure of the fixed pier is K=70000kN / cm.

[0036] Set the distance between the zero point of temperature expansion and the fixed support as an unknown. Calculate the longitudinal displacement at the zero point of temperature expansion caused by static friction based on the distance between the zero point of temperature expansion and the fixed support, the sum of the static friction of all sliding supports on the side where the zero point of temperature expansion is located, the elastic modulus of the beam material, and the average cross-sectional area of ​​the beam.

[0037] Under preset temperature conditions, the beam expands and contracts, and the movable support slides longitudinally. The movable support has a certain frictional resistance, which is transmitted to the beam, causing longitudinal displacement. Assuming that the zero point of temperature expansion and contraction is located on the first side of the fixed support, the longitudinal displacement generated at a distance L from the fixed support is X3 = ΣF1·L / (E·A), where E is the elastic modulus of the beam material and A is the average cross-sectional area of ​​the beam.

[0038] For a continuous beam with a single fixed support, affected by the static friction of the movable support, at the zero point of temperature expansion, the following equilibrium equation is satisfied: X1=X2+X3. The calculated distance L from the fixed support is the initial zero point of temperature expansion.

[0039] In step S3 of this embodiment of the invention, under the premise that all movable supports have slid, the equilibrium equation is solved to obtain the initial temperature expansion zero point.

[0040] Continuing with the previous example, in this embodiment of the invention, it is assumed that all sliding supports are in a sliding state, F1=μ·N=0.03×200000=6000kN, ΣF1=10×6000=60000kN (movable supports 1#~10#), F2=μ·N=0.03×200000=6000kN, ΣF2=1×6000=6000kN (movable support 12#), F3=|ΣF1-ΣF2|=60000-6000=54000kN, X2=F3 / K=54000 / 70000=0.7714cm.

[0041] The beam material is concrete, and the elastic modulus of concrete is E = 3.6 × 10⁻⁶. 4 MPa, average cross-sectional area of ​​the beam A = 45.25m² 2 , X3=ΣF1·L / (E·A)=60000×L×0.1 / (3.6×104 ×45.25) = 0.00368Lcm Solving the equilibrium equations X1=X2+X3 and 0.015L=0.00368L+0.7714, we get L=68.14m, which means that the initial temperature expansion zero point is 68.14m to the left of the position of fixed pier #11.

[0042] In step S4 of this embodiment of the invention, based on the initial temperature expansion zero point, the number of movable supports on the first side of the fixed support is greater than the number of movable supports on the second side of the fixed support. The displacement of the pier top beam caused by temperature change is calculated, and the pier top beam is the pier top beam where the movable support is located.

[0043] Following the previous example, in this embodiment of the invention, for the Mth movable support located on the first side of the fixed support, the distance L1 from the movable support to the initial temperature expansion zero point is L1=M·Lp-L, and the displacement of the beam at the top of the pier caused by the temperature change is α·L1·T+(ΣF1-F1)·L1 / (E·A).

[0044] For the Mth movable support located on the second side of the fixed support, the distance L1 from the movable support to the initial temperature expansion zero point is L1=M·Lp+L, and the displacement of the beam at the top of the pier caused by temperature change is α·L1·T+(ΣF2-F2)·L1 / (E·A).

[0045] In step S5 of this embodiment of the invention, the displacement of the pier top beam required for the sliding of the movable support is compared with the displacement of the pier top beam caused by temperature change to determine whether each movable support has slid. If any movable support has not slid, the frictional resistance of the sliding support is corrected, and the corrected temperature expansion zero point is obtained by combining the equilibrium equation.

[0046] If the displacement of the pier top beam required for the current movable bearing to slide is greater than the displacement of the pier top beam caused by temperature changes, it is determined that the current movable bearing has not slipped. Therefore, the frictional resistance of the current movable bearing is corrected to the displacement of the pier top beam where the movable bearing is located due to temperature changes. Longitudinal stiffness K1 of the substructure of the movable pier; When the displacement of the pier top beam required for the current movable support to slide is less than or equal to the displacement of the pier top beam caused by temperature changes, it is determined that the current movable support has slid.

[0047] In step S5 of this embodiment of the invention, the method for determining whether each movable support has slipped is as follows: Determine the fixed support, and number all movable supports on the same side of the fixed support in order of distance from the fixed support as the 1st, 2nd, ..., Mth, ..., Pth movable supports, where P is the total number of movable supports on that side; First, determine whether the first movable support counting from the fixed support has slid. If the first movable support has slid, then determine whether all P movable supports on the same side of the fixed support have slid. If the first movable support does not slide, further determine whether the second, third, ..., M ... P movable supports slide. If the Mth movable support slides, then determine whether the (M+1)th to Pth movable supports on the same side as the fixed support slide. If the Mth movable support does not slide, further determine whether the (M+1)th movable support slides, until the first movable support that slides is found or all movable supports on the same side do not slide, then the determination ends. Use the same method to determine whether the movable support on the other side of the fixed support has slipped.

[0048] Following the previous example, in this embodiment of the invention, the longitudinal stiffness of the lower structure of the movable pier is K1=2200kN / cm. Since pier #11 is a fixed support, the following is the first calculation to check whether pier #10 will slide.

[0049] The distance from the No. 10 movable pier to the initial zero temperature point is L1 = Lp - L = 130 - 68.14 = 61.86m. The displacement of the beam at the top of the pier caused by the temperature change is α·L1·T + (ΣF1 - F1)·L1 / (E·A) = 1.0 × 10⁻⁵ × (61.86 × 10⁻⁵)². 2 )×15+(60000-6000)×61.86×0.1 / (3.6×10 4 ×45.25) = 1.133cm. The displacement of the pier top beam required for the sliding of the movable support is F1 / K1 = 6000 / 2200 = 2.727cm. Since the displacement of the pier top beam required for the sliding of the movable support (2.727cm) is greater than the displacement of the pier top beam caused by temperature change (1.133cm), the sliding support of the No. 10 movable pier did not slide. The frictional resistance of the movable support at this location is corrected, and the corrected frictional resistance is taken as F1. t =[α·L1·T+(ΣF1-F1)·L1 / (E·A)]·K1=1.133×2200=2492.6kN.

[0050] The following calculations further examine whether sliding will occur at movable pier #9. The distance from movable pier #9 to the initial zero temperature point is L1 = 2Lp - L = 2 × 130 - 68.14 = 191.86 m. The displacement of the beam at the top of the pier caused by the temperature change is α·L1·T + (ΣF1 - F1)·L1 / (E·A) = 1.0 × 10⁻⁶. -5 ×(191.86×10 2 )×15+(60000-6000)×191.86×0.1 / (3.6×10 4×45.25)=3.514cm, F1 / K1=6000 / 2200=2.727cm. Since 2.727<3.514, the sliding support of the No.9 movable pier has slipped. The frictional resistance of the movable support at this point is taken as F1=μ·N=6000kN.

[0051] The following calculation checks whether sliding will occur at movable pier #12. The distance from movable pier #12 to the initial zero temperature point is L1 = Lp + L = 130 + 68.14 = 198.14 m. The displacement of the beam at the top of the pier caused by temperature change is α·L1·T + (ΣF2 - F2)·L1 / (E·A) = 1.0 × 10 -5 ×(198.14×10 2 )×15+(6000-6000)×198.14×0.1 / (3.6×10 4 ×45.25)=2.972cm, the displacement of the pier top beam required for the sliding of the movable support is F1 / K1=6000 / 2200=2.727cm. Since the displacement of the pier top beam required for the sliding of the movable support is 2.727 < the displacement of the pier top beam caused by temperature change is 2.972, the sliding support of the 12# movable pier has slid. The frictional resistance of the movable support at this point is taken as F2=μ·N=6000kN.

[0052] Based on the assessment, the frictional resistance F1 of the No. 10 movable pier was corrected, and the zero point of temperature expansion was recalculated to obtain the corrected zero point of temperature expansion L. t .

[0053] The frictional resistance of the No. 10 movable pier is corrected to F1. t =2492.6kN. Since the sliding of movable support #9 occurred, it can be concluded that movable supports #1 to #8 also slid. For movable supports #1 to #9, F1 = 6000kN, ΣF1 = 2492.6 + 9 × 6000 = 56492.6kN (movable supports #1 to #10). For movable support #12, F2 = 6000kN, ΣF2 = 1 × 6000 = 6000kN. F3 = |ΣF1 - ΣF2| = 56492.6 - 6000 = 50492.6kN. X2 = F3 / K = 50492.6 / 70000 = 0.7213cm; X1 = α·L t ·T=1.0×10 -5 ×(L×10 2 ) × 15 = 0.015L t cm;X3=ΣF1·L t / (E·A) = 56492.6 × L t ×0.1 / (3.6×10 4 (×45.25) = 0.00347L tcm; According to the equilibrium equation X1=X2+X3, 0.015L t =0.00347L t +0.7213, calculated to obtain L t =62.56m. After correction, the zero point of temperature drifts 62.56m to the left from the position of fixed pier #11.

[0054] The following describes a calculation system for the zero point of temperature expansion and contraction of a continuous beam with a single fixed support, provided by the present invention. The calculation system for the zero point of temperature expansion and contraction of a continuous beam with a single fixed support described below can be referred to in correspondence with the calculation method for the zero point of temperature expansion and contraction of a continuous beam with a single fixed support described above.

[0055] This invention provides a calculation system for the zero point of temperature expansion of a continuous beam with a single fixed support, used to implement a calculation method for the zero point of temperature expansion of a continuous beam with a single fixed support provided by this invention, including: The continuous beam data acquisition module is used to acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load of each movable support, the static friction coefficient of the movable support, and the temperature change. The equilibrium equation establishment module is used to set the distance between the zero point of temperature expansion and contraction and the fixed pier as unknowns, and to establish equilibrium equations based on continuous beam data. The temperature expansion zero-point calculation module is used to solve the equilibrium equation and obtain the initial temperature expansion zero point under the premise that all movable supports have slipped. The pier top beam displacement calculation module is used to calculate the displacement of the pier top beam caused by temperature changes based on the initial temperature expansion zero point, wherein the pier top beam is the pier top beam where the movable support is located; The sliding bearing temperature expansion zero-point correction module is used to compare the displacement of the pier top beam required for the sliding of the movable bearing with the displacement of the pier top beam caused by temperature changes, to determine whether each movable bearing has slipped. If any movable bearing has not slipped, the frictional resistance of the sliding bearing is corrected, and the corrected temperature expansion zero point is obtained by combining the equilibrium equation.

[0056] Figure 4 An example is a schematic diagram of the physical structure of an electronic device, such as... Figure 4 As shown, the electronic device may include: a processor 810, a communication interface 820, a memory 830, and a communication bus 840, wherein the processor 810, the communication interface 820, and the memory 830 communicate with each other via the communication bus 840. The processor 810 can call logical instructions from the memory 830 to execute a method for calculating the zero point of temperature expansion and contraction of a single fixed-support continuous beam. This method includes: S1, acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load on each movable support, the static friction coefficient of the movable support, and the temperature change. S2, set the distance between the zero point of temperature expansion and contraction and the fixed pier as an unknown, and establish the equilibrium equation based on the continuous beam data; S3, under the premise that all movable supports have slipped, solve the equilibrium equation to obtain the initial temperature expansion zero point; S4, Based on the initial temperature expansion zero point, calculate the displacement of the pier top beam caused by temperature change, where the pier top beam is the pier top beam where the movable support is located; S5. Compare the displacement of the pier top beam required for the sliding of the movable support with the displacement of the pier top beam caused by temperature change to determine whether each movable support has slid. If any movable support has not slid, then the frictional resistance of the sliding support is corrected, and combined with the equilibrium equation, the corrected temperature expansion zero point is obtained.

[0057] Furthermore, the logical instructions in the aforementioned memory 830 can be implemented as software functional units and, when sold or used as independent products, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, essentially, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes: USB flash drive, portable hard drive, read-only memory (ROM), etc. Various media that can store program code, such as only memory, random access memory (RAM), magnetic disks or optical disks.

[0058] On the other hand, the present invention also provides a computer program product, the computer program product comprising a computer program that can be stored on a non-transitory computer-readable storage medium, wherein when the computer program is executed by a processor, the computer is able to execute a method for calculating the zero point of temperature expansion of a continuous beam with a single fixed support provided by the above methods, the method comprising: S1, acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load on each movable support, the static friction coefficient of the movable support, and the temperature change. S2, set the distance between the zero point of temperature expansion and contraction and the fixed pier as an unknown, and establish the equilibrium equation based on the continuous beam data; S3, under the premise that all movable supports have slipped, solve the equilibrium equation to obtain the initial temperature expansion zero point; S4, Based on the initial temperature expansion zero point, calculate the displacement of the pier top beam caused by temperature change, where the pier top beam is the pier top beam where the movable support is located; S5. Compare the displacement of the pier top beam required for the sliding of the movable support with the displacement of the pier top beam caused by temperature change to determine whether each movable support has slid. If any movable support has not slid, then the frictional resistance of the sliding support is corrected, and combined with the equilibrium equation, the corrected temperature expansion zero point is obtained.

[0059] In another aspect, the present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements a method for calculating the zero point of thermal expansion of a single fixed-support continuous beam provided by the methods described above, the method comprising: S1, acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load on each movable support, the static friction coefficient of the movable support, and the temperature change. S2, set the distance between the zero point of temperature expansion and contraction and the fixed pier as an unknown, and establish the equilibrium equation based on the continuous beam data; S3, under the premise that all movable supports have slipped, solve the equilibrium equation to obtain the initial temperature expansion zero point; S4, Based on the initial temperature expansion zero point, calculate the displacement of the pier top beam caused by temperature change, where the pier top beam is the pier top beam where the movable support is located; S5. Compare the displacement of the pier top beam required for the sliding of the movable support with the displacement of the pier top beam caused by temperature change to determine whether each movable support has slid. If any movable support has not slid, then the frictional resistance of the sliding support is corrected, and combined with the equilibrium equation, the corrected temperature expansion zero point is obtained.

[0060] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the modules can be selected to achieve the purpose of this embodiment according to actual needs. Those skilled in the art can understand and implement this without any creative effort.

[0061] Through the above description of the embodiments, those skilled in the art can clearly understand that each embodiment can be implemented by means of software plus necessary general-purpose hardware platforms, and of course, it can also be implemented by hardware. Based on this understanding, the above technical solutions, in essence or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, magnetic disk, optical disk, etc., and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute the methods described in the various embodiments or some parts of the embodiments.

[0062] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for calculating the zero point of thermal expansion and contraction in a continuous beam with a single fixed support, characterized in that, Includes the following steps: Acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load at each movable support, the static friction coefficient of the movable support, and the temperature change. The distance between the zero point of temperature expansion and contraction and the fixed pier is set as an unknown, and an equilibrium equation is established based on the continuous beam data; Under the premise that all movable supports slip, the equilibrium equations are solved to obtain the initial zero point of thermal expansion and contraction; Based on the initial temperature expansion zero point, the displacement of the pier top beam caused by temperature change is calculated, where the pier top beam is the pier top beam where the movable support is located. The displacement of the pier top beam required for the sliding of the movable support is compared with the displacement of the pier top beam caused by temperature change to determine whether each movable support has slid. If any movable support has not slid, the frictional resistance of the sliding support is corrected, and the corrected temperature expansion zero point is obtained by combining the equilibrium equation.

2. The method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support according to claim 1, characterized in that: The continuous beam data also includes the longitudinal stiffness of the substructure of the fixed pier, the elastic modulus of the beam material, and the average cross-sectional area of ​​the beam. The method for establishing equilibrium equations based on the continuous beam data includes: The distance between the zero point of temperature expansion and the fixed pier is set as an unknown. The longitudinal displacement caused by the expansion and contraction deformation of the beam at the zero point of temperature expansion is calculated based on the coefficient of thermal expansion of the beam material, the temperature change value, and the distance between the zero point of temperature expansion and the fixed pier. The horizontal force of the fixed pier caused by the imbalance of static friction resistance between the movable supports on both sides of the fixed support and the longitudinal stiffness of the substructure of the fixed pier are used to calculate the overall longitudinal displacement of the continuous beam caused by the horizontal force of the fixed pier. The method for calculating the horizontal force of the fixed pier caused by the imbalance of static friction resistance between the movable supports on both sides of the fixed support is the absolute value of the difference between the sum of the static friction resistance of all movable supports on the first side of the fixed support and the sum of the static friction resistance of all movable supports on the second side. Set the distance between the zero point of temperature expansion and the fixed support as an unknown. Calculate the longitudinal displacement at the zero point of temperature expansion caused by static friction based on the distance between the zero point of temperature expansion and the fixed support, the sum of the static friction of all sliding supports on the side where the zero point of temperature expansion is located, the elastic modulus of the beam material, and the average cross-sectional area of ​​the beam. The equilibrium equation is established based on the zero point of temperature expansion and contraction, which is the point where the expansion and contraction displacement of the beam is zero under the temperature effect. The established equilibrium equation is: longitudinal displacement caused by beam expansion and contraction at the zero point of temperature expansion and contraction = longitudinal displacement at the zero point of temperature expansion and contraction caused by static friction + longitudinal displacement of the continuous beam as a whole.

3. The method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support according to claim 2, characterized in that, The formula for calculating the longitudinal displacement caused by the beam's expansion and contraction at the zero point of thermal expansion is: X1=α·L·T Where X1 is the longitudinal displacement caused by the expansion and contraction of the beam at the zero point of temperature expansion, α is the coefficient of thermal linear expansion of the beam material, L is the distance between the zero point of temperature expansion and the fixed pier, and T is the temperature change value.

4. The method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support according to claim 2, characterized in that, The formula for calculating the overall longitudinal displacement of a continuous beam caused by the horizontal force on the fixed pier is: X2=F3 / K Where X2 is the overall longitudinal displacement of the continuous beam caused by the horizontal force of the fixed pier, K is the longitudinal stiffness of the substructure of the fixed pier, F3 is the horizontal force of the fixed pier caused by the imbalance of static friction resistance of the movable supports on both sides of the fixed support, F3=|ΣF1-ΣF2|, F1 is the static friction resistance of the movable support located on the first side of the fixed support, ΣF1 is the sum of the static friction resistance of all movable supports located on the first side of the fixed support, F2 is the static friction resistance of the movable support located on the second side of the fixed support, ΣF2 is the sum of the static friction resistance of all movable supports located on the second side of the fixed support, when the sliding support slides, the static friction resistance of the movable support located on the first side of the fixed support is F1=μ·N, the static friction resistance of the movable support located on the second side of the fixed support is F2=μ·N, μ is the static friction coefficient of the movable support, and N is the dead load vertical force of the movable support.

5. The method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support according to claim 2, characterized in that, When the zero point of thermal expansion is located on the first side of the fixed support, the formula for calculating the longitudinal displacement at the zero point of thermal expansion caused by static friction is: X3 = ΣF1·L / (E·A) Where X3 is the longitudinal displacement at the zero point of temperature expansion caused by static friction, F1 is the static friction of the movable support located on the first side of the fixed support, ΣF1 is the sum of the static friction of all movable supports located on the first side of the fixed support, L is the distance between the zero point of temperature expansion and the fixed pier, E is the elastic modulus of the beam material, and A is the average cross-sectional area of ​​the beam.

6. The method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support according to claim 1, characterized in that: The method for calculating the displacement of the pier top beam at the movable support caused by temperature changes based on the zero point of temperature expansion and contraction includes: Assuming that all sliding supports experience sliding, and the number of movable supports on the first side of the fixed support is greater than the number of movable supports on the second side of the fixed support, for the Mth movable support located on the first side of the fixed support and counted from the fixed support, the distance L1 from the movable support to the zero point of temperature expansion and contraction is L1=M·Lp-L, and the displacement of the beam at the top of the pier where the movable support is located due to temperature change is α·L1·T+(ΣF1-F1)·L1 / (E·A). For the Mth movable support located on the second side of the fixed support and calculated from the fixed support, the distance from the movable support to the zero point of temperature expansion and contraction is L1 = M·Lp + L, and the displacement of the beam at the top of the pier where the movable support is located due to temperature change is α·L1·T + (ΣF2-F2)·L1 / (E·A). Where F1 is the static friction resistance of the movable support located on the first side of the fixed support, Lp is the main span length of the continuous beam, M is the ordinal number of the movable support on the same side starting from the fixed support, ΣF1 is the sum of the static friction resistance of all movable supports located on the first side of the fixed support, L is the distance between the zero point of temperature expansion and the fixed pier, E is the elastic modulus of the beam material, A is the average cross-sectional area of ​​the beam, F2 is the static friction resistance of the movable support located on the second side of the fixed support, and ΣF2 is the sum of the static friction resistance of all movable supports located on the second side of the fixed support.

7. The method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support according to claim 1, characterized in that: Methods for calculating the displacement of the pier top beam required for sliding of the movable support include: Assuming that all sliding supports slide, the displacement of the pier top beam required for the sliding of the movable support is calculated according to the formula F1 / K1, where F1 is the static friction resistance of the movable support located on the first side of the fixed support, and K1 is the longitudinal stiffness of the substructure of the movable pier.

8. The method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support according to claim 1, characterized in that: The method of comparing the displacement of the pier top beam required for the sliding of the movable bearing with the displacement of the pier top beam caused by temperature changes to determine whether each movable bearing has slipped, and if any movable bearing has not slipped, then the method for correcting the frictional resistance of the sliding bearing includes: If the displacement of the pier top beam required for the current movable bearing to slide is greater than the displacement of the pier top beam caused by temperature changes, it is determined that the current movable bearing has not slipped. Therefore, the frictional resistance of the current movable bearing is corrected to the displacement of the pier top beam where the movable bearing is located due to temperature changes. The longitudinal stiffness K1 of the substructure of the movable pier where the movable support is located; When the displacement of the pier top beam required for the current movable support to slide is less than or equal to the displacement of the pier top beam caused by temperature changes, it is determined that the current movable support has slid.

9. The method for calculating the zero point of temperature expansion and contraction of a continuous beam with a single fixed support according to claim 8, characterized in that, The method for determining whether each movable support has slipped is as follows: Determine the fixed support, and number all movable supports on the same side of the fixed support in order of distance from the fixed support as the 1st, 2nd, ..., Mth, ..., Pth movable supports, where P is the total number of movable supports on that side; First, determine whether the first movable support counting from the fixed support has slid. If the first movable support has slid, then determine whether all P movable supports on the same side of the fixed support have slid. If the first movable support does not slide, further determine whether the second, third, ..., M ... P movable supports slide. If the Mth movable support slides, then determine whether the (M+1)th to Pth movable supports on the same side as the fixed support slide. If the Mth movable support does not slide, further determine whether the (M+1)th movable support slides, until the first movable support that slides is found or all movable supports on the same side do not slide, then the determination ends. Use the same method to determine whether the movable support on the other side of the fixed support has slipped.

10. A calculation system for the zero point of temperature expansion and contraction of a continuous beam with a single fixed support, characterized in that, For implementing claim 1 The method for calculating the zero point of thermal expansion of a single fixed-support continuous beam as described in any one of the 9 methods includes: The continuous beam data acquisition module is used to acquire continuous beam data, which includes the coefficient of thermal expansion of the beam material, the vertical force of the dead load of each movable support, the static friction coefficient of the movable support, and the temperature change. The equilibrium equation establishment module is used to set the distance between the zero point of temperature expansion and contraction and the fixed pier as unknowns, and to establish equilibrium equations based on continuous beam data. The temperature expansion zero-point calculation module is used to solve the equilibrium equation and obtain the initial temperature expansion zero point under the premise that all movable supports have slipped. The pier top beam displacement calculation module is used to calculate the displacement of the pier top beam caused by temperature changes based on the initial temperature expansion zero point, wherein the pier top beam is the pier top beam where the movable support is located; The sliding bearing temperature expansion zero-point correction module is used to compare the displacement of the pier top beam required for the sliding of the movable bearing with the displacement of the pier top beam caused by temperature changes, to determine whether each movable bearing has slipped. If any movable bearing has not slipped, the frictional resistance of the sliding bearing is corrected, and the corrected temperature expansion zero point is obtained by combining the equilibrium equation.

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