In the field of structural engineering, stairs represent a common means of vertical transit designed to manage a change in elevation through a sequence of risers and treads. Functionally, they convert potential energy into mechanical movement, allowing passage between different levels within a building or structure. The efficiency and safety of a staircase are determined by several geometrical parameters, including the pitch, the depth of the tread, and the height of the riser. These dimensions are critical for establishing ergonomic compatibility and adhering to building codes, which dictate maximum slopes and dimensions to mitigate fall hazards. From a structural standpoint, stairs are load-bearing components that must resist significant compression and shear forces transmitted through their supporting stringers and landings.