1. Math
  2. Advanced Math
  3. 5 figure 1 shows an 8noded isoparametric hexahedral finite element...

Question: 5 figure 1 shows an 8noded isoparametric hexahedral finite element...

Question details

5 Figure 1 shows an 8-noded isoparametric hexahedral finite element with a local coordinate system, (a, β,7), having its origin at the geometric centre of the ele- ment, as indicated. The shape function for the first node of this element is given by N1-a) p 4 Figure 1: Isoparametric finite element and its local coordinate system (i) Write down the shape functions for the remaining nodes (i) If the global coordinate system is denoted by (x, y,z) and the global coor dinates of nodes 1,2, 8 of the finite element are given by (0,0,0), (1,0,0), (1,1,0). (0,1,0), (,1,2). (2,1,2). (2,2,3) and (1,2,2) resepctively, then find the (x,y,z) coordinates of the point (o,B.)-(0.5, 0.1,-0.7) using the shape functions N, N2,, N. Work correct to four decimal places.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution