Finite Beams on Elastic Foundation with Restraints

by Bing-Yuan Ting, (M.ASCE), Sr. Consultant; The Marley Cooling Tower Co., 5800 Foxridge Dr., Mission, Kans. 66201,

Serial Information: Journal of the Structural Division, 1982, Vol. 108, Issue 3, Pg. 611-621

Document Type: Journal Paper


A solution is presented of the differential equation of finite beams with elastic restraints, resting on a Winkler foundation in terms of the initial conditions at one end of the beam. This solution can be used to simulate beams on elastic foundation with different boundary conditions. Numerical examples are given to demonstrate the efficiency of the solution. Results for beams with simulated boundary conditions agree with those for exact boundary conditions.

Subject Headings: Elastic foundations | Boundary conditions | Beams | Elastic analysis | Numerical methods

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