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A Calculation Method of Equivalent Elastic Modulus of Stayed Cable Considering Sag Effect

A technology of equivalent elastic modulus and calculation method, which is applied in design optimization/simulation, architecture, instruments, etc.

Active Publication Date: 2021-05-11
SOUTHEAST UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The extra-long horizontal projection and low stress level of the stay cables lead to obvious sag effects

Method used

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  • A Calculation Method of Equivalent Elastic Modulus of Stayed Cable Considering Sag Effect
  • A Calculation Method of Equivalent Elastic Modulus of Stayed Cable Considering Sag Effect
  • A Calculation Method of Equivalent Elastic Modulus of Stayed Cable Considering Sag Effect

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Experimental program
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Embodiment Construction

[0019] The technical solution of the present invention will be described in detail below by means of examples, but the protection scope of the present invention is not limited to the examples.

[0020] Such as figure 1 As shown, for a horizontal projection length l 0 , weight per unit length is q, horizontal tension is H 0 The stay cable, if Ling

[0021]

[0022] Then the length S of the stay cable can be expressed as

[0023]

[0024] where α is the inclination angle of the line connecting the two endpoints. Express coshλ as a McLaughlin series expansion, and take the first five terms to approximate

[0025]

[0026] Substituting into formula (2), we can get

[0027]

[0028] The elongation Δl at the end of the stay cable is

[0029]

[0030] where l is the distance between the two endpoints.

[0031] The axial tension at the upper end of the stay cable can be expressed as

[0032]

[0033] make

[0034]

[0035] in,

[0036]

[0037] Substi...

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Abstract

The invention discloses a method for calculating the equivalent elastic modulus of a stay cable considering the sag effect. First, based on the shape of the catenary, the relationship between the axial tension of the stay cable and the elongation to overcome the sag is established to obtain The equivalent elastic modulus of the sag effect; then combined with the elastic modulus of the stay cable steel wire, the equivalent elastic modulus of the stay cable can be obtained. The present invention derives the equivalent elastic modulus formula based on the real linear-catenary of the stay cable. Compared with the traditional Ernst formula, the calculation accuracy is greatly improved.

Description

technical field [0001] The invention belongs to the field of bridge design and calculation, and relates to a complete set of methods for calculating the equivalent elastic modulus of cable-stayed cables considering the sag effect, and is especially suitable for equivalently linearizing the nonlinear problems caused by the sag effect of cable-stayed cables question. Background technique [0002] The cable-stayed bridge is a kind of bridge with reasonable stress and beautiful appearance. It has been developed rapidly in the world in the past 60 years. The Sutong Bridge (main span 1088m) built in China in 2008 broke the 1,000-meter mark for the first time. In the same year, Hong Kong, China built the Stonecutters Bridge with a main span of 1018m. Island Bridge. The Hutong Bridge (main span 1092m) currently under construction in China is the world's largest span road-rail cable-stayed bridge and the world's first road-rail bridge with a span of more than 1,000 meters. [0003...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/13G06F30/20E01D19/16G06F119/14
Inventor 张文明蒋晓放刘钊
Owner SOUTHEAST UNIV
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