円形開口のある壁の鉛直荷重時応力について

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In this study, stresses of wall with round opening are analyzed for the case of vertical loads acting on the straight boundary of a semi-infinite plane. For this solution, Bariansky and Ohkawa have given to apply Jeffery's approach which gave the general solution of the plane oroblem using bipolar coordinates, to the problem of the distortion introduced in the so-called plane Boussinesq field by the presence of a circular hole. But, the method is solved with the great complexity of expression by decomposing the Boussinesq stress function into Fourier series. Therefore, in this paper, a new stress function χ_0 is assumed in terms of bipolar coordinates, and the distribution of vertical loading along the straight upper edge is directly expanded to Fourier series. In treating the stress function in the coordinates, the distributions of arbitrary loads along the straight boundary are easily expressed to Fourier series. The solution of the case acting a concentrated vertical load at the center on the straight boundary agrees with that of Boussinesq problem. For the each case under (1) a concentrated load, (2) concentrated loads acting at two points placed distance γ apart, and (3) uniform loading on the distance at the center of the straight boundary, the stress distributions of the analytical and the experimental results are shown in Figs.7, 9 and 11, respectively. The distributions of the case (1) are analogous to the case (3). The maximum tensile stress produces on the top of a circular hole. In Fig. 13, the tensile stress of the case (1) is about 2.5 times of (3) in the type λ=0.80 and so the case is notable. On the other hands, the case (2) is effective for diminishing the tensile stress, as increasing values ofλ. The analytical and the expimental results accord with each other.
社団法人日本建築学会の論文
1987-05-30

円形開口のある壁の鉛直荷重時応力について

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