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

Abstract

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.