Technical Stability of Continuously Loaded Thin-walled Slender Columns

The book presents the theory of the technical loss of stability in elastic states of slender columns under axially continuously load like columns loaded with self-weight. According to this theory the differential equations of elastic lines of columns are determined. The formulas of the stability analysis and the critical parameters like critical specific gravity per Young’s modulus, critical weight, critical compressive stress, critical length of columns as the function depending on parameters like dimensions, slenderness ratio, cross section area and specific gravity per Young’s modulus are determined. The study considers cases of fixed columns at the bottom end as well as pinned columns, i.e. set between one fixed and one slide joints. In order to compare the book also presents the theory of the loss of stability of slender columns according to Timoshenko and Gere. The theory explains the way of losing of carrying capacity and allows to optimize (dimensions and material) slender columns.