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Course# ME-231(b): Structural mechanics for SV

Summary

This course aims to provide a concise understanding of how materials and structures react to loads. It covers the basics of stress and strain in multi dimensions, deformation and failure criteria. The course is tailored to problems students from life science might encounter.

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Material failure theory

Material failure theory is an interdisciplinary field of materials science and solid mechanics which attempts to predict the conditions under which solid materials fail under the action of external loads. The failure of a material is usually classified into brittle failure (fracture) or ductile failure (yield). Depending on the conditions (such as temperature, state of stress, loading rate) most materials can fail in a brittle or ductile manner or both. However, for most practical situations, a material may be classified as either brittle or ductile.

École Polytechnique Fédérale de Lausanne

The École polytechnique fédérale de Lausanne (EPFL; English: Swiss Federal Institute of Technology in Lausanne; Eidgenössische Technische Hochschule Lausanne) is a public research university in Lausanne, Switzerland. Established in 1853, EPFL has placed itself as a university specializing in engineering and natural sciences. EPFL is part of the ETH Domain, which is directly dependent on the Federal Department of Economic Affairs, Education and Research.

Leonhard Euler

Leonhard Euler (ˈɔɪlər , ˈleːɔnhaʁt ˈɔʏlɐ; 15 April 1707 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function.

Stress (mechanics)

In continuum mechanics, stress is a physical quantity that describes forces present during deformation. An object being pulled apart, such as a stretched elastic band, is subject to tensile stress and may undergo elongation. An object being pushed together, such as a crumpled sponge, is subject to compressive stress and may undergo shortening. The greater the force and the smaller the cross-sectional area of the body on which it acts, the greater the stress. Stress has units of force per area, such as newtons per square meter (N/m2) or pascal (Pa).

Stress–strain analysis

Stress–strain analysis (or stress analysis) is an engineering discipline that uses many methods to determine the stresses and strains in materials and structures subjected to forces. In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material. In simple terms we can define stress as the force of resistance per unit area, offered by a body against deformation.

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Lectures in this course (36)

Structural Mechanics: Understanding Structures' Behavior under LoadsME-231(b): Structural mechanics for SV

Covers the basics of structural mechanics, exploring how structures respond to loads and the factors influencing their behavior.

Structural Mechanics FundamentalsME-231(b): Structural mechanics for SV

Introduces structural mechanics for life sciences, emphasizing equilibrium, vectors, tensors, and problem-solving strategies.

Beam Bending: Understanding Deformation and ResistanceME-231(b): Structural mechanics for SV

Explores beam bending, load deformation, and resistance, emphasizing the importance of shear and moment diagrams.

Structural Mechanics: Fundamentals and ApplicationsME-231(b): Structural mechanics for SV

Covers the fundamentals of structural mechanics, including statics, dynamics, stress analysis, and practical applications in real-world scenarios.

Internal Reaction Forces and StressME-231(b): Structural mechanics for SV

Explores internal reaction forces, strain, and stress in structures under external loads.