Optimized design method for section of multi-rib type T-shaped beam bridge

An optimized design, T-shaped beam technology, applied in calculation, special data processing applications, instruments, etc., can solve the problems of overall stiffness reduction, excessive down deflection, flange and web cracking, etc.

Inactive Publication Date: 2015-11-11
YANCHENG INST OF TECH
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Problems solved by technology

In the static analysis of multi-rib T-shaped beams, scholars at home and abroad have carried out unremitting analysis and research, but the existing literature has not considered the shear lag effect, shear lag warping stress self-balance condition and Timoshenko at the same time. The influence of fa

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  • Optimized design method for section of multi-rib type T-shaped beam bridge
  • Optimized design method for section of multi-rib type T-shaped beam bridge
  • Optimized design method for section of multi-rib type T-shaped beam bridge

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Embodiment 1

[0063] For multi-ribbed T-shaped beams, the material parameters and geometric parameters are E=3.5×10 4 MPa; G=1.5×10 4 MPa, the original design flange length is b 1 = 1.75m; b 2 =2.25m; b 3 = 3.75m; t 1 = t 2 = t 3 =0.3m, the thickness of ribs is t w =0.25m, the beam height is h=1.5m. The concentrated force P in static analysis k1 (z)=147000N, uniform force q k2 (z) = 14700 N / m.

[0064] The calculation method of stress and displacement change of multi-rib T-beam is as follows:

[0065] (1) Refer to figure 2 As shown, when n=3, according to the variational principle, the differential equation and natural boundary conditions of the multi-ribbed T-beam are:

[0066] Differential equation:

[0067] EIθ”+EI s1 u 1 "+EI s2 U' 2 '+EI s3 u 3 "-kGA(θ-w')=0(17)

[0068] EI s1 θ"+EI t1 u 1 "-Gk x1 u 1 +EI a1 U' 2 '+EI a2 U' 3 '=0(18)

[0069] EI s2 θ"+EI a1 u 1 "+EI t2 U' 2 '-Gk x2 u 2 +EI a3 u 3 "=0(19)

[0070] EI s3 θ"+EI a2 u 1 "+EI a3 U...

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Abstract

The invention discloses an optimized design method for the section of a multi-rib type T-shaped beam bridge. The optimized design method includes the steps that a governing differential equation and the natural boundary condition of the multi-rib type T-shaped beam bridge are built on the basis of the principle of minimum potential energy, influences of factors such as the shear-lag effect, the shear-lag warping stress self-equilibrium condition and Timoshenko shear deformation of the multi-rib type beam bridge are comprehensively considered to carry out fine mechanical analysis on the structure, and then the reasonable size of the section is selected to enable the multi-rib type beam bridge to be in the good mechanical state. According to the optimized design method, the mechanical analysis is more accurate, bad diseases such as beam cracks and rigidity reduction can be easily avoided accordingly, and the safety performance of the multi-rib type beam bridge is improved. The optimized design method is clear in mechanical concept and simple in calculation, the multi-rib type beam bridge is in the good operation state, and therefore the good application value is achieved.

Description

technical field [0001] The invention relates to the optimization of the geometric section of a prestressed concrete or reinforced concrete multi-rib beam bridge, in particular to an optimal design method for the section of a multi-rib T-shaped beam bridge. Background technique [0002] In civil engineering, multi-rib girder bridges have both the mechanical properties of T-girder bridges and box girder bridges, and because of their many advantages in manufacturing, structural performance and appearance, they are often used in prestressed concrete with medium spans. or reinforced concrete bridges. In the static analysis of multi-rib T-shaped beams, scholars at home and abroad have carried out unremitting analysis and research, but the existing literature has not considered the shear lag effect, shear lag warping stress self-balance condition and Timoshenko at the same time. The influence of factors such as shear deformation makes its static analysis have certain limitations. ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 甘亚南石飞停
Owner YANCHENG INST OF TECH
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