Structural analysis

Torsion constant

The torsion constant is a geometrical property of a bar's cross-section which is involved in the relationship between angle of twist and applied torque along the axis of the bar, for a homogeneous linear-elastic bar. The torsion constant, together with material properties and length, describes a bar's torsional stiffness. The SI unit for torsion constant is m4. (Wikipedia).

Torsion constant
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Physics - Mechanics: Torsion (2 of 14) What is Torsional Constant?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is torsional constant or the “second momentum of area”. Next video in this series can be found at: https://youtu.be/Mr29GDA0jLE

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (9 of 14) The Torsional Pendulum: Another Example

Visit http://ilectureonline.com for more math and science lectures! In this video I will find f=? and T=? of a cable suspending a rod with 2 masses one on each end of the rod. Next video in this series can be found at: https://youtu.be/WGHEXoCGXVY

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (1 of 14) What is Torsion?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is torsion and the variables associated with twisting of a steel rod. Next video in this series can be found at: https://youtu.be/jlt6Jy59nJs

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (13 of 14) Calculating the Second Moment or Area: The Circle

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the “second moment of area”=? of the circle. Next video in this series can be found at: https://youtu.be/NnT_Ic8hk_Y

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (7 of 14) The Torsional Pendulum: Example

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate f=? and theta(t)=? of a torsional pendulum. Next video in this series can be found at: https://youtu.be/4BhjMqa1oHo

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (14 of 14) Calculating the Second Moment or Area: The Hollow Circle

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the “second moment of area”=? of the hollow circle. First video in this series can be found at: https://youtu.be/9uenWEQwk08

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (8 of 14) The Torsional Pendulum: The Mechanical Watch

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the torsional constant=? of the balance wheel of the mechanical watch. Next video in this series can be found at: https://youtu.be/fVmd3wM9zmA

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (6 of 14) Torsional Pendulum (Potential Equivalent of SHM)

Visit http://ilectureonline.com for more math and science lectures! In this video I will equate the simple harmonic motion of a block attached to a spring to the rotational equivalent of the torsional pendulum. Next video in this series can be found at: https://youtu.be/ahBEW8L0jjI

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (11 of 14) Torsion and a Hollow Tube

Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the equation of torque=? of the torsion of a hollow tube. Next video in this series can be found at: https://youtu.be/mQ-wseAfAlc

From playlist PHYSICS 16.6 TORSION

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Umberto Zannier - Torsion values for sections in abelian schemes and the Betti map

November 14, 2017 - This is the second of three Fall 2017 Minerva Lectures We shall consider further variations in the games, obtaining more general Betti maps. We shall also illustrate some links of the Betti map with several other contexts (Manin's theorem of the kernel, linear different

From playlist Minerva Lectures Umberto Zannier

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Umberto Zannier - Ambients for the Betti map and the question of its rank

November 16, 2017 - This is the final talk of a series of three Fall 2017 Minerva Lectures In this last lecture we shall further consider some of the mentioned contexts involving the Betti map. We shall also discuss in short some recent work with Yves André and Pietro Corvaja, where we obt

From playlist Minerva Lectures Umberto Zannier

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Álvaro Lozano-Robledo: Recent progress in the classification of torsion subgroups of...

Abstract: This talk will be a survey of recent results and methods used in the classification of torsion subgroups of elliptic curves over finite and infinite extensions of the rationals, and over function fields. Recording during the meeting "Diophantine Geometry" the May 22, 2018 at th

From playlist Math Talks

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Elliptic Curves - Lecture 10a - Isogenies (part 1)

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

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Daniel Bertrand: Generalized Jacobians and Pellian polynomials

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Number Theory

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Elliptic Curves - Lecture 17a - Torsion on groups associated to formal groups

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

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Asymptotic invariants of locally symmetric spaces – Tsachik Gelander – ICM2018

Lie Theory and Generalizations Invited Lecture 7.4 Asymptotic invariants of locally symmetric spaces Tsachik Gelander Abstract: The complexity of a locally symmetric space M is controlled by its volume. This phenomena can be measured by studying the growth of topological, geometric, alge

From playlist Lie Theory and Generalizations

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Physics - Mechanics: Torsion (3 of 14) What is the "Second Moment of Area"?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain visually what is the “second moment of area Next video in this series can be found at: https://youtu.be/3mD-qioqRWE

From playlist PHYSICS 16.6 TORSION

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Werner Müller : Analytic torsion for locally symmetric spaces of finite volume

Abstract : This is joint work with Jasmin Matz. The goal is to introduce a regularized version of the analytic torsion for locally symmetric spaces of finite volume and higher rank. Currently we are able to treat quotients of the symmetric space SL(n,ℝ)/SO(n) by congruence subgroups of SL(

From playlist Topology

Related pages

Second moment of area | Stiffness