This chapter develops an analytical model for tubular deployable composite booms using Archimedean spiral geometry and energy principles to predict coiling folding moment-rotation angle curves. The folding process is divided into two stages (with/without free regions), solving implicit equations via Newton iteration and considering ploy region strain energy. A custom folding mechanism tests six T700/epoxy samples, showing good agreement between theoretical and experimental external work, with failure indices <1. Parametric studies show cross-sectional radius minimally affects moments, while angle and thickness increase moments, with thickness enhancing failure risk.