This dissertation explores novel topologies for integrated, movable bridge design utilizing linkages as the main kinematic and structural elements. A design methodology is presented which includes (1) developing conceptual designs through physical shape-finding, (2) generating parametric models and kinematic equations of these designs, and (3) shape and sizing structural optimization using heuristic algorithms such as simulated annealing. Multi-objective structural optimization for minimum self-weight and minimum power required for operation is utilized to determine a pareto-optimal set of designs that meet the constraints of current bridge design code and meet compatibility equations for prescribed kinematic behavior. Based on design priorities, this approach allows for the selection of a final solution. This methodology is validated through two simple studies and has potential applications for the design of a variety of deployable systems comprised of linkages. Three new forms for linkage-based movable bridges are presented which were designed utilizing this methodology.