The question of the magnitude of the vertical deflection of a cantilever beam composed of unbonded layers has been posted here, but I was wondering if there is an analytical way to solve for the end extension of the sliding layers of the composite beam as well.
If the force is applied to the end of the top beam, I am interested in figuring out how far the ends of the other beams slide past the end of the top beam. I'm assuming all layers are the same material and full contact is maintained at the interface. The point of interest is circled in the figure.
Any help is greatly appreciated. If this is not analytically solvable, can this be done in a way other than plugging it into FEA and seeing the result?