Calculate the element stiffness matrix of the square element shown in figure 7.15 using

(a) \(1 \times 1\) Gauss quadrature and

(b) \(2 \times 2\) Gauss quadrature. Compare the numerically integrated element stiffness matrix with the exact one calculated using eq. (6.54) in chapter 6. Assume plane stress with thickness \(h=0.1 \mathrm{~m}\), Young's modulus \(E=10 \mathrm{GPa}\) and Poisson's ratio \(v=0.25\).

Transcribed Image Text:

2m y 2m 4 1 Figure 7.15 Numerical integration of a square element 3 2 X