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We present a simple resonant Hamiltonian model for the vertical response of astellar disk to the growth of a bar perturbation. As a bar perturbation growsstars become trapped in vertical Inner Lindblad resonances and are lifted intohigher amplitude orbits. The vertical structure of a boxy and peanut shapedbulge as a function of radius and azimuthal angle in the galaxy plane can bepredicted from the strength and speed of the bar perturbation and thederivatives of the gravitational potential. This model predicts that stars onthe outer side of the resonance are lifted higher than stars on the inner side,offering an explanation for the sharp outer edge of the boxy/peanut.Comment: Accepted for publication in A

Growth of a Peanut-shaped Bulge via Resonant Trapping of Stellar Orbits in the Vertical Inner Lindblad Resonances