This textbook is the first of a two-volume set where each book is designed for a specialized course in structural mechanics: the first focusing on the stability of structures, the second on the dynamics of structures. The books cater to professionals and students in mechanical, civil, aerospace, naval, and shipbuilding engineering. These sections are essential because failing to account for the loss of stability in deformed structural elements or neglecting dynamic effects during the design process can lead to severe engineering challenges, including catastrophic failures of buildings and infrastructure. The book focuses on the stability of structures subjected to external loading that generates compressive stresses within structural elements. The analysis covers various structural components, including rod systems such as columns, beams, frames, trusses, arches, and rings. Additionally, it explores more complex two- and three-dimensional structures, including rectangular and circular plates, membranes, shells, and structures resting on elastic foundations.

Levon Gregory Petrosian is a Professor of Structural Engineering and Structural Mechanics.  He received his B.S.C.E. and M.S. degrees from the Armenian National University of Architecture & Construction. He received a Ph.D. from the Moscow State University of Civil Engineering (MGSU) and the degree of Doctor of Technical Science from the Moscow Research Center of Construction, Research Institute of Building Structures (TSNIISK). Dr. Petrosian has taught undergraduate, graduate and postgraduate structure mechanics, structural dynamics and stability, classes for 22 years.