ABSTRACT

Cantilevered staircase may seem old-fashioned, but it is a very innovative and clever structure. The matrix differential equation system can be solved analytically for both cases: the erection process without temporary support and the completed staircase. This chapter examines the effect of the material and the geometry of the steps on the possible limits of cantilevered staircases in comparison with century old customs documented in the literature. The developed model employs the general engineering beam theory in an unusual situation: the beams of a flight are connected to each other along their sides parallel to their axes. A Matlab code was developed to calculate the displacements and internal forces of a straight, cantilevered staircase for both the building state and the service state. An elasticity based theoretical model was developed to determine the deflection and internal forces of cantilevered staircases for both building and service states. The building technology does influence the behavior and load-bearing capacity of the cantilevered staircase.