For the linear strain tetrahedral element shown in Figure P11–8, (a) express the displac...

For the linear strain tetrahedral element shown in Figure P11–8, (a) express the displacement fields u, v, and w in the x, y and z directions, respectively. Hint: There are 10 nodes each with three translational degrees of freedom, u_i, v_i, and w_i. Also look at the linear strain triangle given by Eq. (8.1.2) or the expansion of Eqs. (11.2.2).