だ円座標におけるねじりおよびせん断の問題について(第I部、第II部)

概要

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In Part I, torsional stress and moment of a straight bar with asymmetrical cross-section bounded by confocal ellipses and hyperbolas are given in the forms of infinite series. By selecting the boundary values, several kinds of symmetrical figures (sector, semi-circle, circular shaft with a sharp crack, circular pipe with a slit and rectangle) are all contained. Numerical examples show the results coincide very well with that found by bi-polar, polar and rectangular coordinates. In Part II, shearing stress of a beam with symmetrical cross-section bounded by confocal ellipses and hyperbolas are found by Saint-Venant's flexure function. The shearing load acts on the beam along the vertical axis of symmetry, so the torsion does not accompany. It is pointed out that the stress distribution is not influenced by the presence of a crack and the stress concentration does not occur when the crack is vertical. But, if the crack is horizontal, the great stress concentration is found at the top of
茨城大学工学部の論文