Solutions for deflections, stress and speed ratios in angular contact bearings : programmed for a pocket calculator

Includes bibliographical references (page 111)The advent of pocket calculators with magnetic card storage combined with simplified solutions for elliptical-contact deformation, as developed by Brewe , make possible the solution of engineering problems by calculator formerly requiring large computers. Engineers working with advanced or sophisticated bearing applications often require more detailed design information than that generally made available by bearing manufacturers. This paper develops design equations, in a form suited to the calculator, and programs to solve four situations for angular contact bearings. The four programs presented herein are for (1) axial deflection and stress due to a thrust load, (2) contact angle change due to a thrust load, (3) deflection of a preloaded bearing due to a radial load, (4) ball angular speed and ball-group speed-ratio with centrifugal effects due to high speed. Each program is presented with a derivation of the most essential steps, instructions on how to use the program, sample printout to aid in reading the output and a listing of the data register contents. There is also a flow diagram for each to aid in understanding and permit program modifications, if desired. Program listings will be found in the appendix. Sample solutions are given which were derived from the programs as presented. These solutions should provide insight as to the capabilities of each program. In addition the sample printout and solutions provide a useful method for checking for proper operation of the programs. The speed-ratio section makes a case, then develops solutions, for non-race-control of the balls by the race. This case is at variance with the modes of inner or outer race control usually found in the literature. The resulting speed-ratio falls roughly between that of the other two modes and it remains to be shown when and in what degree the no control case will be valid