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1927 Volume 30 Issue 123 Pages
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1927 Volume 30 Issue 123 Pages
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Katumi OKUDA
Article type: Article
1927 Volume 30 Issue 123 Pages
319-334
Published: July 20, 1927
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The elastic deformation of any body subjected to given external forces is calculated frequently by means of the energy principle, but in most cases the strain energy is only approximately obtained and moreover it is usually very difficult to determine the acccracy of calculation. According to the new method here proposed, we can obtain higher and lower estimations of the strain energy, between which the actual value must lie, starting from arbitrarily assumed systems of stresses and displacements respectively. And the more suitable the assumptions are, the nearer these two estimated values draw, so that the strain energy and consequently the elastic deformation may be determined with sufficient accuracy. As an example the deformation of circularly curved rod with circulsr section under bending and torsion is studied.
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[in Japanese]
Article type: Article
1927 Volume 30 Issue 123 Pages
335-344
Published: July 20, 1927
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It is attempted in this paper to deduce the formulae for the deflection and the stresses of a thin flat equilateral triangular plate loaded uniformly and built in at the perimeter, on which, as far as the writer is aware, no solution has been published, owing to perhaps the limited practical application. At first the writer assumes a reasonable expression for the deflection involving an unknown constant, satisfying the boundary conditions, and in the next place the constant is determined by the theory of strain energy. Then the expression of deflection is perfectly fixed, and the stresses are obtained in succession. The max. deflection and the max. stress thus obtained are some 1・48 and 1・88 times as great respectively as the well-known results of the clamped circular plate, which is the inscribed one of the equilateral triangle under consideration.
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1927 Volume 30 Issue 123 Pages
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Article type: Appendix
1927 Volume 30 Issue 123 Pages
45-64
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Article type: Cover
1927 Volume 30 Issue 123 Pages
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