薄い有孔環状圓板が内壓と内周に沿ふ一樣な剪斷力とを受ける場合の應力 : 内壓を受ける圓窓枠の強補に對する應用
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概要
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For the case in which the deflection of a circular plate with a circular hole at its center is no longer small in comparison with the thickness of the plate, the deflection and the stress produced by normal uniform pressure and uniform shearing load 1/2 r_ip carried along the inner boundary r=r_i was calculated. To analyse the problem without tedius calculation, it was assumed that (1) at the outer boundary, the plate is clamped, i. e. (dw)/(dr)=0, (2) radial tension T_1 also vanishes, and (3) at the inner boundary, the plate is connected with the inner complete circular plate of radius r_i in the way that there is no constraint for the radial displacement, i. e. T_1=0. The value of (dw)/(dr) at the inner boundary is determined from the fixity at the circle of combination and the bending rigidities of the two plates. These conditions were taken into consideration by introducing an arbitrary parameter v, which is to be determined in general by experiment. The stress distribution in the annular plate which supports the window glass, obtained experimentally with the pressurised circular window, was in agreement with the distribution of the composite stress consisting of the two components, one of which is the two dimensional stress due to the tensile force at the outer boundary and another is the stress due to bending calculated under the above assumptions. Consequently, in designing the pressurised window, it will be possible to determine the most reasonable thickness and width of the fixing frame by calculating the stress according to the present analysis.
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