Instructions |
For calculation of the main characteristics of the structure, user has to enter the following data: the length a of the plate in the x-axis direction, the length b of the plate in the y-axis direction, thickness of the plate h, which is constant in both directions, and material properties. It is assumed that the material of the shell is orthotropic with the elastic stress-strain relationship: |
User has to enter the moduli of elasticity E_{x} and E_{y} of the material in x-axis and y-axis directions, shear modulus G_{xy} , as well as Poisson’s ratio ν_{yx}. The second Poisson’s ratio is calculated using formula ν_{xy}=ν_{yx}E_{x} / E_{y}. We also check the restriction ν_{xy}ν_{yx} < 1 for orthotropic material and 0≤ ν_{xy} ≤ 0.5 for isotropic material before the calculation. In the case of isotropic material the field for shear modulus can be left blank. Corresponding value will be calculated by formula G_{xy}=E_{x} /(1+ ν_{yx})/2 .
While entering load characteristics, please use the coordinate system shown in figure. You have to enter the value of load q, lengths of rectangle loading area ABCD in both directions l_{x} and l_{y} , as well as coordinates of point A x_{0} and y_{0}. The sides of rectangle ABCD are parallel to the sides of the plate. The case of concentrated load can be considered in this calculation by choosing relatively small area ABCD (for example putting l_{x}=a/100 and l_{y}=b/100. Please use the same system of units throughout the calculation. For instance, if you use force unit N and length unit m, the unit of load and modulus of elasticity should be N/m^{2}. Obviously, the result of calculation will have the same unit system in this case: deflection – m, stresses – N/m^{2}. The program calculates the characteristics of the loaded plate: maximum of deflections and maximum of main stresses in different directions, including principal, von Mises and shear stresses with indicating where these maximums occur. |