Map of a Bending Problem for Self-Similar Beams into the Fractal Continuum Using the Euler–Bernoulli Principle

The bending of self-similar beams applying the Euler–Bernoulli principle is studied in this paper. A generalization standard beam equation FdH3 continuum using local fractional differential operators obtained. mapping a problem for into corresponding fractal defined. Displacements, rotations, moments and shear forces as functions parameters are estimated, allowing mechanical response to be established. An example structural behavior cantilever with load at free end considered study influence fractality on properties beams.