1. Sketch the variations of the shape functions Nj and Nm, given by Eqs. (6.2.18), over the surface.


1. Sketch the variations of the fashion functions Nj and Nm, given by Eqs. (6.2.18), balance the exterior of the triangular atom delay nodes i; j, and m. Check that Ni + Nj  Nm += 1 anywhere on the element.

2. For a pure three-noded triangular atom, show explicitly that differentiation of Eq. (6.2.47) certainly results in Eq. (6.2.48); that is, exchange the indication for ½B and the flatten force qualification for [D] into Eq. (6.2.47), and then particularize p delay honor to each nodal grade of immunity in Eq. (6.2.47) to obtain Eq. (6.2.48).