Structural analysis | Calculus of variations

Energy principles in structural mechanics

Energy principles in structural mechanics express the relationships between stresses, strains or deformations, displacements, material properties, and external effects in the form of energy or work done by internal and external forces. Since energy is a scalar quantity, these relationships provide convenient and alternative means for formulating the governing equations of deformable bodies in solid mechanics. They can also be used for obtaining approximate solutions of fairly complex systems, bypassing the difficult task of solving the set of governing partial differential equations. (Wikipedia).

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SA19: Work-Energy Principle (Part 1)

This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content.

From playlist Dr. Structure: Structural Analysis Video Lectures

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SA20: Work-Energy Principle (Part 2)

This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/

From playlist Dr. Structure: Structural Analysis Video Lectures

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The Meaning of Energy? Core Physics Principle Explained by Parth G

Energy is an extremely important concept in all of physics. It is used everywhere to describe how different systems will behave. But what exactly is energy in the first place? What is the meaning of energy? This difficult-to-answer question can be thought of in terms of a few different ex

From playlist Thermodynamics by Parth G

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Thermodynamics 3b - Energy and the First Law II

We apply the first law of thermodynamics to understand the Stirling cycle heat engine. Note on the definition of a "closed system." I am using the term "closed system" in the sense of the following definition from Thermal Physics by Charles Kittel: "A closed system is defined as a system

From playlist Thermodynamics

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Mechanics 3 - Work & Energy

We have an intuitive feel for the concepts of work and energy. In physics we give these precise definitions. For at least some systems we find that we can define different forms of energy, potential and kinetic, such that the total energy remains constant even as these specific forms vary.

From playlist Mechanics

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Teach Astronomy - Conservation of Energy

http://www.teachastronomy.com/ One of the most important principles in physics is the law of conservation of energy. Energy can be neither created nor destroyed. In any closed physical system the total amount of energy is constant, although the energy may change forms multiple times. Wh

From playlist 04. Chemistry and Physics

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Thermodynamics 3a - Energy and the First Law I

Having developed our ideal-gas model in the previous video, we now use that model to understanding the principle and application of the First Law of Thermodynamics. Note on the definition of a "closed system." I am using the term "closed system" in the sense of the following definition fr

From playlist Thermodynamics

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Describing bonds in terms of "energy potential wells"

Bonding can be described in terms of attractive/repulsive forces and since we know how force and energy relate to one another, we can also describe them in terms of energy! As bonds form they lower the energy of the compound and this can be seen as a minimum in energy or "potential energy

From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020

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Forces, Energy, And System Analysis

The Forces, Energy, And System Analysis explains the importance of a system analysis in keeping track of energy for any given motion scenario. The distinction between conservative and non-conservative forces and the relationship of each to the total amount of mechanical energy is discussed

From playlist Work and Energy

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Alexandre Tkatchenko: "Towards a Unified Machine Learning Model of Molecular Chemical Space"

Machine Learning for Physics and the Physics of Learning 2019 Workshop I: From Passive to Active: Generative and Reinforcement Learning with Physics "Towards a Unified Machine Learning Model of Molecular Chemical Space" Alexandre Tkatchenko, University of Luxembourg Institute for Pure an

From playlist Machine Learning for Physics and the Physics of Learning 2019

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Chem 131A. Lec 28. Quantum Principles: What We've Covered: Course Summary

UCI Chem 131A Quantum Principles (Winter 2014) Lec 28. Quantum Principles -- What We've Covered: Course Summary -- View the complete course: http://ocw.uci.edu/courses/chem_131a_quantum_principles.html Instructor: A.J. Shaka, Ph.D License: Creative Commons BY-NC-SA Terms of Use: http://o

From playlist Chemistry 131A: Quantum Principles

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The Basic Math that Explains Why Atoms are Arranged Like They Are: Pauli Exclusion Principle

Electrons are arranged in shells around an atomic nucleus. But why is this? Luckily there is is some basic mathematics that can give us a clue... Hi everyone, in this video I wanted to discuss the basic mathematics of the Pauli Exclusion Principle. This is a fundamental principle of quant

From playlist Quantum Physics by Parth G

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Noether's theorems and their growing physical relevance by Joseph Samuel

DATES: Monday 29 Aug, 2016 - Tuesday 30 Aug, 2016 VENUE: Madhava Lecture Hall, ICTS Bangalore Emmy Noether (1882­-1935) is well known for her famous contributions to abstract algebra and theoretical physics. Noether’s mathematical work has been divided into three ”epochs”. In the first (

From playlist The Legacy of Emmy Noether

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Large deviations theory applied to large scale (...) - P. Reimberg - Workshop 1 - CEB T3 2018

Paulo Reimberg (IPhT) / 20.09.2018 Large deviations theory applied to large scale structure cosmology ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : ht

From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

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François Gay-Balmaz : A Langrgian Variational Formulation of Nonequilibrium thermodynamics

Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 30, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent

From playlist Geometry

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Origins of the Laws of Nature - Peter Atkins

Thermodynamics. Speed of light. Conservation of energy. Where do the fundamental laws of nature come from? Subscribe for regular science videos: http://bit.ly/RiSubscRibe Peter's book "Conjuring the Universe: The Origins of the Laws of Nature" is available now - https://geni.us/TXh2S Pet

From playlist Ri Talks

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Alexandre Tkatchenko - Many-body perturbation theory and wavefunction methods: A Physics perspective

Recorded 08 March 2022. Alexandre Tkatchenko of the University of Luxembourg presents "Many-body perturbation theory and wavefunction methods: A Physics perspective" at IPAM's Advancing Quantum Mechanics with Mathematics and Statistics Tutorials. Learn more online at: http://www.ipam.ucla.

From playlist Tutorials: Advancing Quantum Mechanics with Mathematics and Statistics - March 8-11, 2022

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The Dark Side of Time

Is space-time fragmented, segmented into quantized bits of information, or causal sets? Or is space-time smooth and continuous, with curves, bends, and warps; just as Einstein had predicted? Is what we call space-time even part of objective reality or is it just a mathematical construct

From playlist Science

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A future with quantum biology - with Alexandra Olaya-Castro

Scientific and technological advances have enabled us to zoom into the biological world. We can get down to the biomolecular scale, a domain where quantum phenomena can take place and therefore cannot be neglected. Watch the Q&A with Alexandra here: https://youtu.be/_rElT2_NukY Subscribe

From playlist Ri Talks

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Teach Astronomy - Transformation of Energy

http://www.teachastronomy.com/ It's a fundamental principle of physics that energy can be easily and readily transformed from one form to another. Everyday life surrounds us with examples of this. For instance, in a battery the chemical energy in a stored chemical bond is converted into

From playlist 04. Chemistry and Physics

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Virtual work | Finite element method in structural mechanics | Betti's theorem | Unit dummy force method | Structural load | Castigliano's method | Müller-Breslau's principle