On the Solution of a Circular Plate of Non-uniform Thickness

A method giving an approximate solution is explained by the application of a formula analogous to that of the slope deflection method used in the solution of rigid frames to the case when a symmetrical load is applied to a circular plate whose thickness is only a function of the radial distance

On the Calculation of the Buckling Stress of a Rectangular Plate by the Slope Deflection Method

The energy method is populary used in the calculation of the buckling stress of a rectangular plate, but, although this method is very convenient when the four sides are simply supported, it is not favourable in other cases. In the case when a rectangular plate is simply supported on the two sides perpendicular to the direction of normal forces and has various boundary conditions on the other two sides, there· are R. Barbre's method based on the method of integration and K. Nolke's method based on the method of energy. According to the former, however, the number of lines and columns of the determinant which represents the equation of buckling condition increases to such an extent that the calculation becomes very difficult. According to the latter, the calculation is possible, but extremely complicated and laboursome. In an attempt to simplify the calculation, the author has induced a formula by the slope deflection method to be applied to such cases and has obtained very satisfactory results

The Skew Network Difference Equation for the Orthotropic Parallelogram Plate and Its Application to the Experimental Study on the Model Skew Composite Grillage Girder Bridge

The skew network difference equation for the differential equation of the deflation surface of the orthotropic parallelogram plate Bₓ ∂⁴w/∂x⁴ + 2H ∂⁴w/∂x²∂y² + By ∂⁴w/∂y⁴=p were proposed for the special case H/(Bₓ·By)¹/²=1 and for the special boundary condition that the plate is supported simply at the opposite two skew sides and supported by flexible edge girders at the other two sides. These difference equations were applied to the theoretical analysis of the experimental study on the model skew composite grillage girder bridge, and it was found that this numerical analysis was very effective. To calculate the influence coefficients of the deflection and bending moment of the girders, the electronic digital automatic computer UNIVAC-120 was used

Digital Computer Analysis of Influence Coefficients for Deflection and Bending Moment of Orthotropic Parallelogram Plates

The skew network finite difference equation for the differential equation of equilibrium on the middle surface of the orthotropic parallelogram plate, expressed in Cartesian coordinates, Bₓ ∂⁴w/∂x⁴ + 2H ∂⁴w/∂x²∂y² + By ∂⁴w/∂y⁴ = p was proposed for the general case, 0≦K = H/√BₓBy≦1, and for the special boundary conditions where the plate is supported simply at the two opposite skew sides and supported by flexible girders at the other two sides. Dividing the parallelogram plate into six equidistant lengths in the direction of the span and also perpendicular to the span, and then applying the skew network finite difference equation, the influence coefficients of deflection and bending moment were calculated by the use of digital computers, UNIVAC-120 and Bendix G-15D, for the two cases of variables

A study on the discharge of base cation in mountainous catchments, considering the variation and component of cation adsorption pool in soil(Department of Sciences for Biospheric Coexistence)

博士学位論文要

Soil catena along a collapsed mountainous slope underlain by granitic rock in Hiroshima Prefecture

To clarify soil catena and its characteristics of mountainous slope in temperate region, physical and chemical analysis on soil were conducted for 6 soil profiles along granitic mountainous slope. The soil types were residual soil at upper slope and colluvial soil at lower slope. Soil contents of dissolved Na^+ and K^+ were high at upper slope and sischarge area, and exchangeable base cation contents

River Bed Form in a Granitic Mountainous Catchment : A Case of the Source Area in Kurose River, Hiroshima Prefecture

In order to clarify spatial variations in a river bed form in a granitic mountainous catchment, we surveyed topographically a steep river on a source area of Kurose River in which the debris flow occurred in 1999. Firstly, we found that the spatial variation in erosion-deposition process on the steep river. Both of the lower stream and upper one held much sediments with large gravels (φ>2m). On the other hand, the middle stream exposed mainly the bedrock. Secondary, we confirmed spatial distribution of river falls. The height of river fall on the upper stream rose with the increase of river gradient. On the contray, the frequency of falls was constant in spite of inclination

Effect of forestation of hinoki and larch on soil chemistry in mountainous water source area for water supply to Tokyo

Effects of forestry on soil properties, stream water chemistry and mass balance in watersheds had been confieremed by many previous studies. However, they have not clarified in detail variation processes of soil chemistry and soil physics after the hinoki and larch forestation. To clarify the variation processes, it is important to confirm the difference of soil chemistry and soil physics on the artifitial and natural forest. In this research, we conducted the soil physical and chemical investigations on seven slopes covered by hinoki (chamecyparis obtusa) and larch (Larix leptolepis) artificial and beech (Fagus crenata) natural forest in a highland area, the western side of Tokyo. The water repellency of A_0 horizon was stronger on the artificial forest slope than on the natural forest. In addition, the permeability was low on the artificial forest due to the strong water repellency. On the artificial forest, both of the exchangeable base cation content and soil pH were low and Al concentration was high, as compared with those on the natural forest. These results suggest that the soil acidification is progressed on the artificial forest. The decline of soil pH by the forestation was controlled by the increase of H^+ supply at the A_0 horizon due to the property of litter decomposition and the decrease of base cation supply at the A-horizon. In general, the cation supply rate such as weathering rate is controlled by the infiltration rate and temperature. These soil physical and chemical properties suggest that infitration rate at the A-horizon. declines after the forestation, weathering rate declines and consequently soil is acidified