This thesis investigates the application of the inverse Finite Element Method (iFEM) to Euler-Bernoulli beam elements, focusing on a Single-Sensor-Based (SSB) iFEM formulation that reconstructs the displacement field from discrete surface-strain measurements without requiring paired sensors on opposite faces. For beam applications, this enables accurate recovery with unpaired layouts that may place sensors on one or both faces, while still keeping the overall sensor count low. The work adapts recent SSB ideas to one-dimensional beam models and implements the formulation in Matlab. The approach treats each strain reading as an independent measurement associated with its physical location on the cross-section or along the span, allowing flexible layouts driven by accessibility and practical instrumentation constraints.