Abstract
Abstract The instantaneous tangential rigidity (corresponding to the applied horizontal load) of a triguy support with unequal ropes is determined. The differences between the ropes can be due to the different location, both horizontal and vertical, of their anchoring foundations and to the different types of ropes used. The horizontal rigidity of such a support has no general axis of symmetry. Therefore a formula for this rigidity in any direction and a formula for extreme rigidity angles are given in this paper. A notion of the guy’s eigenvalue, standing for the initial tension force above which the guy participates effectively in the support’s rigidity, is introduced. A numerical example is provided.
Highlights
A situation can be encountered when one or several of the following circumstances occur: – unequal length si of guys at the same angle of chord inclination to level θi, – unequal angle of inclination of chords relative to level θi, – unequal angles between chords in horizontal projection φi, – unequal axial rigidities of ropes EiAi
An irregular triguy support, i.e., one which lacks initial horizontal axisymmetric rigidity and for which no directions of extreme horizontal rigidities can be determined in advance since they depend both on the initial tension values and the reaction values, is formed
It is always more difficult to calculate a mast with irregular multiguy supports than one with regular supports, since apart from the iteration of the shaft’s static solution there is the additional iteration of the support’s solution aimed at finding the directions of extreme rigidities
Summary
A situation can be encountered when one or several of the following circumstances occur (the letter symbols are illustrated in Fig. 1): – unequal length si of guys at the same angle of chord inclination to level θi (due to the ground’s inclination), – unequal angle of inclination of chords relative to level θi (some of the guys have to be placed over the existing structures), – unequal angles between chords in horizontal projection φi (there are structures to be bypassed), – unequal axial rigidities of ropes EiAi (caused by repair conditions) In such cases, an irregular triguy support, i.e., one which lacks initial horizontal axisymmetric rigidity and for which no directions of extreme horizontal rigidities can be determined in advance since they depend both on the initial tension values and the reaction values, is formed. The symbols and the formulas used in this paper for a single guy were adopted after [1], while the forces in the ropes wee calculated by Petersen’s method [2]
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