Natural Frequency of Timoshenko Beam on Flexible Base

by Anestis P. Papadopoulos, Sr. Engr.; Holmes & Narver, Inc. Orange, Calif.,
David M. Trujillo, Principal Engineer; Holmes & Narver, Inc., Orange, Calif.,

Serial Information: Journal of the Engineering Mechanics Division, 1980, Vol. 106, Issue 2, Pg. 307-321

Document Type: Journal Paper


The influence of base rotational and horizontal springs has been investigated for Euler and Timoshenko beams. The results were presented in terms of convenient dimensionless parameters so that the influence can be easily evaluated. The parameters were varied to cover the behavior of beams ranging from pure bending to pure shear. An example, demonstrating the use of the results to a multistory shear building, is included.

Subject Headings: Natural frequency | Beams | Parameters (statistics) | Rotation | Structural behavior | Bending (structural) | Mid-rise buildings

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