ABSTRACT

This chapter deals with classical methods of analysis of staircases. These methods are reproduced clearly by adopting uniform symbols. The chapter gives a positive basis for understanding these methods by explaining the basic philosophy of each method and the assumptions associated with it. Most of these methods are based on the Strain Energy concept. The Taleb’s method is based on the principle of least work using equations of equilibrium of the entire stair and hence obtaining expressions directly for all redundante acting at the supports. Liebenberg method has been developed using the extensional (membrane or planar) stiffness produced by the interaction of the stair flights and landings. In Siev’s method, which is very similar to Liebenberg’s method, torsional moments are calculated as those moments causing compatibility in deformation. Morgan’s method is one of the first methods produced for the helical stairs and is based on freely supported flights. A uniform load is assumed on a divided structure.