Unformatted text preview: area to the area of a square two units on a side. How is this ratio related to J, and why? Figure 2 Repeat Question 1, but use two-point Gauss quadrature rather than explicit integration. A quadrilateral element is shown in the figure with the coordinates in millimeters. Let E =210 GPa and v =0.25 and assume plane stress condition. Use a spreadsheet (for example, MS Excel), MATLAB, MAPLE or MATHEMATICA 1. To evaluate the element stiffness matrix using 1-by-1 Gaussian quadrature. 2. To evaluate the element stiffness matrix using 2-by-2 Gaussian quadrature. 3. To determine the stresses at the local coordinates (0,0) when the displacements are given as u 1 =0, v 1 =0; u 2 =0.01mm, v 2 =0.005mm; u 3 =0.015mm, v 3 =0.02mm; u 4 =0, v 4 =0. Figure 3...
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- Three '10
- Numerical Analysis, Ratio, Chemical element, Finite element method in structural mechanics, SCHOOL OF CIVIL, COMPUTATIONAL STRUCTURAL MECHANICS