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Identify basis functions $$ \overline{N} \ _i(s) $$ for $$ i=1,2,3,4 $$
In lecture note [[media:Nm1.s11.mtg38.djvu|(2) p.38-1]] and [[media:Nm1.s11.mtg37.djvu|(1) p.37-1]], $$\displaystyle Z(s)$$ is defined as following ; for i=1, 2, 3, and 5 and from lecture note [[media:Nm1.s11.mtg37.djvu|(2) p.37-3]], we know From eqn.6.4 matrix, we have following equations; Now, we can expand eqn.9.2, and find $$ \overline{N}_i,$$, for i=1,2,3,4, in terms of s Thus,

Plot $$\displaystyle N_i(s) $$ for i=1,2,3,4 Matlab Code: