For the case of a cantilever (fixed=free) beam, we need to
Chapter , Problem 20(choose chapter or problem)
For the case of a cantilever (fixed=free) beam, we need to solve the eigenvalue problem y.4/ y D 0 .0 < x < L/I y.0/ D y0 .0/ D 0; y00.L/ D y.3/.L/ D 0: Proceeding as in 19, show that the nth eigenvalue is n D 4 n=L4, where fng 1 1 are the positive roots of the equation cosh x cos x D 1. Then find the associated eigenfunction.
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