Foundations of Plate and Shell Structures

Plate and shell elements form the backbone of modern structural design, from aircraft fuselages and ship hulls to pressure vessels and storage tanks. Understanding how these thin-walled structures behave under various loads is essential for ensuring safety, efficiency, and durability. This text-based course guides you from the fundamental definitions of stress and strain to the complex mechanics of plate and shell deformation. You will learn how to analyze bending, buckling, and post-buckling behavior, enabling you to make informed engineering design decisions for real-world applications. What you'll learn: Understand key terminology and foundational concepts of thin-walled structural mechanics; Analyze elastic and plastic stress-strain relationships in rectangular plates and curved shells; Evaluate bending, buckling, and nonlinear geometric effects in plate elements; Assess the ultimate strength and post-buckling behavior of stiffened panels and cold-formed sections; Apply structural analysis principles to cylindrical shells, pressure vessels, and offshore structures; Explore modern finite element analysis modeling principles and composite material considerations for plates and shells. The course begins with essential definitions and foundational equations of elasticity before moving into the specific mechanics of flat plates. From there, you will explore curved shells, buckling phenomena, and practical engineering applications including impact loading and modern structural modeling concepts. This course is designed for engineering students, junior structural designers, and beginners to structural mechanics. No prior advanced shell theory is required, though a basic understanding of mathematics and strength of materials is helpful. Equip yourself with the analytical tools needed to design and evaluate thin-walled structures with confidence.