Influence function of skew circular rings on elastic bedding (dedikált példány) [antikvár]

INFLUENCE FUNCTION OF SKEW CIRCULAR RINGS ON ELASTIC BEDDINGByI. HegedűsDepartment of Reinforced Concrete Structures, Technical University, Budapest(Received: August 21st, 1980) Presented by Prof. Dr. Árpád Orosz1. Survey of the literatureThe elementary theory of bar systems suits the estahhshment of an ordinary system of differential equations for the deformations of a circular ring considered as a bar of curvihnear axis but because of algebraic computational difficulties arising in solving the system of differential equations there is hardly any practical computation method for analysing generaUzed circular ring problems.A complete set of formulae refers to unbedded, common non-skew rings, rather common in practice. For instance, stress/strain relationships for annular members under concentrated loads and with different supports have been tabulated in [1], while [2] offers a set of stress/strain formulae for complete rings under loads of sine and cosine distribution, both referring to unbedded, non-skew rings. Also [3] presents a method for the analysis of non-skew circular rings bedded in their plane, normally to it, and against rotation, exposed to concentrated forces or to a group of forces. This method is adapted to influence functions. Its application is also presented in other references, e.g. in [4] for cooling tower foundations. Formulae for non-skew, bedded circular rings under loads of sine or cosine distribution are rather easy to deduce from formulae in [2] such as those for radial and annular bedding in [3]. There are no publications concerned with the direct analysis of circular rings on skew or general bedding.These examinations have led to some important conclusions.Analysis of loads and deformations in non-skew circular rings may be decomposed into that of loads and deformations in the ring plane, and that of loads and of resulting displacements normal displacement, rotation, torsion normal to the ring plane. Implicit condition of the decomposition is to neglect deformation components belonging to the usually shght change of the ring arc length, of course, provided there is two-way straight bending and non-skew bedding.