1) Derive the equations of motion for the three-story frame structure with lumped masses as shown below. Consider the beams to be rigid. Take the flexural rigidity of the columns as El Neglect axial deformations in the elements. Use displacements of floors relative to the ground as the coordinates. Rigid beams Py(t) m/2 h m P (1) h ET EI P. (1) h TIN . 2h 1) Derive the equations of motion for the three-story frame structure with lumped masses as shown below. Consider the beams to be rigid. Take the flexural rigidity of the columns as El Neglect axial deformations in the elements. Use displacements of floors relative to the ground as the coordinates. Rigid beams Py(t) m/2 h m P (1) h ET EI P. (1) h TIN . 2h