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

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