1967 年 1967 巻 19 号 p. 9-14
Recently Dr. Kerr pointed out that the Pasternak Foundation is a mechanical model for the so-called “generalized” foundation. He also showed that the problems of a finite beam or plate resting on this type of foundation which had been believed nonsolvable by Wieghardt and Pflantz are solvable for any load distribution permissible in classical plate theory.
In this paper, the authors deal with the further developement of practical application of the Pasternak Foundation. Here, the treatment is limited on the beam problems resting on this type of foundation. It is demonstrated that these problems are effectively treated by the slope deflection equation method.
The results obtained are as follows.
1) The slope deflection equation for beams on the Pasternak Foundation is deduced.
2) It is shown that in the stress analysis by the slope deflection equation method, the condition of continuity of the shear layer which is required at the end point of the beam as the characteristic of the Pasternak Foundation can be taken into account not at the item of boundary conditions but at the equilibrium epuation of the shearing force.
3) If the relation._??_is held among the coefficients of the foundation, the basic solution of the beams on the Pasternak Foundation is identical with that on the Winkler Foundation. Thus under this condition, the slope deflection equation for beams on the Winkler Foundation which had already been deduced by the authors is applicable and the effect of the existing shear layer on beam stresses is given by the concentrated force _??_working at the end point of this beam.