RI 4883 Centrifugal Testing Apparatus For Mine Structure Stress Analysis

An improved centrifugal-testing apparatus has been designed and built in the Bureau of Mines laboratory at College Park, Md., which is unique in that it incorporates the use of resistance gages to measure directly the strains in a rotating model without testing it to failure. Owing to this feature, a more rapid testing method can be used; furthermore, model materials need not be restricted to those of the prototype. The behavior of any structure in which strains of significant magnitude are produced by its own weight may be studied in a small model subjected to simulated gravity loading. The model is rotated in a centrifuge to induce in it centrifugal forces, which, like the gravitational forces in the full-size structure, act on the volume elements and are proportional to the masses thereof. Centrifugal testing is, therefore, applicable to the design of mine openings and to the study of similar ground-control problems. It constitutes an experimental method for determining the state of strain in a structure for which analytical methods are excessively laborious or even impossible. In previous applications of centrifugal testing by other investigators, the models usually were tested to failure, and the analysis was made from-the type of break produced. The models were made of the same materials as the proto-type, and the test results were applied only to the particular prototype represented by the model. Beam deflections were measured from photographs of the rotating model, but no means was employed either to determine the actual distribution of stress in the model or to determine quantitatively the degree of restraint imposed on the ends of the loaded model beam, that is, to determine whether the loaded model behaved as a beam with rigidly fixed ends or as some other type of beam. With the apparatus described, it is possible to determine the state of strain, and thus the boundary conditions, in a rotating test model weighing up to 90 lb., which can be subjected to centrifugal forces up to about 2,600 times the force of gravity. The load-strain relationship, applicable directly to the prototype, can be determined from a Single model test. The test results can be presented as quantitative relations between the loads, strains, and dimensions and mechanical proper-ties of the structural members and can be applied to any prototype, whatever its component materials, that satisfies the similarity requirements.