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Interaction among moving inertial loads and footbridge

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PL
The aim of the paper is formulation of equations expressing interaction among moving inertial loads of pedestrians and cyclists and a footbridge. The equations of motion of all interacting structures was shown. The fundamental matrices relations representing the interaction of all substructures and a deck was presented. The shown formulas allow to analysis of responses of structures with simultaneous excitations of forces changing in time and space, inertial moving loads, tuned mass dampers and kinematic excitations.
PL
Geometrically non-linear stress and strain fields resulting from loads and prestressing are a specific property of box cross-sections. Their importance in the meaning of a calculation precision is evaluated in various ways by authors. Simultaneously, design of any structure – also of a box cross-section – is strictly connected with a correct evaluation of the stress level in materials, linearity of their behaviour and cracks appearance. This work is focused on the presentation of the existing theorical models describing the “shear lag” effect influence on the distribution of the local strain and stress in materials in box cross-section. The presentation is followed by their evaluation according to the agreements of their results with measurements results obtained on a real structure. PC bridge of a box cross-section, built as cantilever is the chosen example for comparison. Discussion of the scale of the effect influence completes the presentation of this work.
PL
The present paper is related to the motorway overbridge, the technical state of which has been showing deficiencies related mainly to the presence of cracks. Verification of the design and construction documents was carried out prior to advanced analysis which covered the construction process with phases, loads acting in various periods of time as well as the progressing ground deformations. Conclusions drawn on the basis of the analysis results are not typical because the emergency situation is resulting from many simultaneously acting factors. The level of the reduction of the safety margin of the bridge has been estimated.
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