The Equivalent Lateral Force (ELF) procedure is the most widely used seismic analysis approach, because of its simplicity and practicality in preliminary and final design phases. This paper applies the ELF procedure to a hypothetical building that stands 5 stories tall, with a 4-story superstructure supported on a rocking story of elliptically profiled cross-laminated timber (CLT) walls. First-generation prototypes made from six CLT panels of 5-ply, 175 mm, thickness—each measuring 2.44 m by 3.66 m in respective width and height—demonstrated that elliptical geometry controls lateral stiffness, inherent damping, and self-centering of the walls. Full-scale, cyclic, quasi-static, lateral-load-displacement tests—under simulated gravity loads ranging from 133 to 400 kN—established effective stiffness and damping inputs for the ELF procedure. The prototypes produced two modes of elliptical pendulum response by changing steel connections to the floor and ceiling beams. The first connection guides panels through rolling, and the second connection forces panels into slip-friction for enhanced damping but reduced durability of CLT. Because the base rocking story of elliptically profiled CLT walls behaves like an inverted pendulum system, the ELF procedure references existing design provisions for seismically isolated structures.