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.
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[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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