Deflections and reactions of a ring of 1.855" mean diameter, fixed at one point, simply supported at another point and loaded normally at an arbitrary point were determined using the energy method and the stiffness matrix method. These results were verified experimentally and it was found that the values of displacements and reactions obtained by the two theoretical methods were within 4.5% and 0.5% respectively of experimental results. When effect of transverse shear was included in the computations done using the energy method it increased the values of deflections by less than 1.5% thus confirming that the effect of transverse shear is negligible on deflections of a normally loaded ring. Finally, the investigation established that either the energy method or the stiffness matrix method, can be successfully used to predict deflections and reactions of an arbitrarily normally loaded ring.
Library of Congress Subject Headings
Force and energy; Mechanical engineering
Department, Program, or Center
Mechanical Engineering (KGCOE)
Rabinowitz, A.J., "Deflections of a Ring Due to Normal Loads Using Energy Method and Stiffness Matrix Method" (1970). Thesis. Rochester Institute of Technology. Accessed from
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