Lecture

Lattice Systems: Structural Equilibrium

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Description

This lecture covers the concept of lattice systems, focusing on structural equilibrium and the construction of force diagrams. It explains how a lattice always maintains static equilibrium, regardless of its shape or applied loads. The instructor demonstrates the process of finding reactions and building force diagrams step by step, emphasizing the importance of considering nodes with unknown intensities. Examples of non-triangular lattice systems, such as the Magazzini Generali in Chiasso and bridges by Robert Maillart and Michel Virlogeux, are also discussed.

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Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.

Economic equilibrium

In economics, economic equilibrium is a situation in which economic forces such as supply and demand are balanced and in the absence of external influences the (equilibrium) values of economic variables will not change. For example, in the standard text perfect competition, equilibrium occurs at the point at which quantity demanded and quantity supplied are equal. Market equilibrium in this case is a condition where a market price is established through competition such that the amount of goods or services sought by buyers is equal to the amount of goods or services produced by sellers.

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