Finite Element Methods: Lecture 12 - 1D Timoshenko Beam Element Formulation
#finitelements #abaqus #timoshenko
In this lecture we discuss the formulation for beams that are are short (L) compared to the thickness (t), that is (t/L) less than 8. We will use Timoshenko beam theory to solve the finite element problem. We demonstrate that when using 2pt Gauss quadrature for a linear element, it will exhibit shear locking and that to resolve that only two approaches are available:
(1) Reduced integration, 1 pt Gauss Quadrature Rule
(2) Consistent Interpolation, where a quadratic interpolation is used for the transverse deflection, but a linear interpolation is used for the rotation.
This is discussed also through some examples in my book.
published: 07 May 2021
Timoshenko Beam Theory Part 1 of 3: The Basics
An introduction and discussion of the background to Timoshenko Beam Theory. Includes a brief history on beam theory and Stephen Timoshenko's accomplishments as well as a discussion of shear modeling.
Download notes for THIS video HERE: https://bit.ly/45LIqWn
Download notes for my other videos: https://bit.ly/37OH9lX
Reference: Dym & Shames, Solid Mechanics: A Variational Approach
https://amzn.to/468WkBp
CHAPTERS:
0:00 Intro
3:49 Background Stephen Timoshenko
5:57 History of Beam Theory
10:45 Euler-Bernoulli vs Timoshenko Beam Theory
12:49 Modeling Shear
19:38 Assumptions
published: 13 Sep 2023
Euler-Bernoulli vs Timoshenko Beam Theory
CE 2310 Strength of Materials Team Project
published: 02 May 2016
Strength of Materials by Stephen Timoshenko Full Book Review | SOM by Stephen Timoshenko Book Review
in this video you get the full book review of Strength of Materials by Stephen Timoshenko. Full Book Review of SOM by Stephen Timoshenko.
published: 25 Dec 2022
Timoshenko & Gere: Strength of Materials: Chapter 1: Solved Example 1
published: 30 Oct 2018
Timoshenko & Gere:Strength of Materials: Chapter 1: Solved Example 3
published: 06 Nov 2018
SOVIET UNION: World War 2: Timoshenko with his staff (1942)
BRITISH PARAMOUNT NEWSREEL (REUTERS)
To license this film, visit https://www.britishpathe.com/video/VLVA959RYK0S5GKKZVOJYZWSJ91KH-P12102
Marshall Semyon Timoshenko and his staff planning, with 640,000 men, a counter-offensive at Kharkov - the first Soviet attempt to gain the initiative in the war.
Full Description:
01.05.1942
SLATE INFORMATION: RUSSIAN OFFENSIVE
SOVIET UNION:
INT
Marshall Semyon Timoshenko (Soviet military commander) sitting at table with his staff looking at map and planning tactics
EXT
Soviet troops marching up snowy hill
Background: Marshall Semyon Timoshenko and his staff planning, with 640,000 men, a counter-offensive at Kharkov - the first Soviet attempt to gain the initiative in the war.
FILM ID: VLVA959RYK0S5GKKZVOJYZWSJ91KH
To license this film, visit http...
published: 27 Oct 2020
Teoria tecnica della trave: Eulero-Bernoulli vs Timoshenko (modelli a confronto)
Scopri le differenze fra il modello di trave di Eulero-Bernoulli e il modello Timoshenko.
✅ RESTA AGGIORNATO
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published: 09 Feb 2020
Subra Suresh, 2012 ASME Timoshenko Medal Recipient
Distinguished engineer and scientist and director of the National Science Foundation Subra Suresh received the Timoshenko Medal at the 2012 ASME Honors Assembly in Houston, TX.
Filmed, produced, and edited by MiB Mediaworks
http://www.mibmediaworks.com/
Mark Brodie
published: 16 Jan 2013
Lecture 8: Beam Theory in FEA- Euler-Bernoulli vs Timoshenko
Developing the Euler-Bernoulli equation for a beam element. Deriving the shear, deflection, moment and distributed loading equations based on beam theory. Presenting the difference between Euler Bernoulli and Timoshenko beam theories.
#finitelements #abaqus #timoshenko
In this lecture we discuss the formulation for beams that are are short (L) compared to the thickness (t), that is (t/L) le...
#finitelements #abaqus #timoshenko
In this lecture we discuss the formulation for beams that are are short (L) compared to the thickness (t), that is (t/L) less than 8. We will use Timoshenko beam theory to solve the finite element problem. We demonstrate that when using 2pt Gauss quadrature for a linear element, it will exhibit shear locking and that to resolve that only two approaches are available:
(1) Reduced integration, 1 pt Gauss Quadrature Rule
(2) Consistent Interpolation, where a quadratic interpolation is used for the transverse deflection, but a linear interpolation is used for the rotation.
This is discussed also through some examples in my book.
#finitelements #abaqus #timoshenko
In this lecture we discuss the formulation for beams that are are short (L) compared to the thickness (t), that is (t/L) less than 8. We will use Timoshenko beam theory to solve the finite element problem. We demonstrate that when using 2pt Gauss quadrature for a linear element, it will exhibit shear locking and that to resolve that only two approaches are available:
(1) Reduced integration, 1 pt Gauss Quadrature Rule
(2) Consistent Interpolation, where a quadratic interpolation is used for the transverse deflection, but a linear interpolation is used for the rotation.
This is discussed also through some examples in my book.
An introduction and discussion of the background to Timoshenko Beam Theory. Includes a brief history on beam theory and Stephen Timoshenko's accomplishments as ...
An introduction and discussion of the background to Timoshenko Beam Theory. Includes a brief history on beam theory and Stephen Timoshenko's accomplishments as well as a discussion of shear modeling.
Download notes for THIS video HERE: https://bit.ly/45LIqWn
Download notes for my other videos: https://bit.ly/37OH9lX
Reference: Dym & Shames, Solid Mechanics: A Variational Approach
https://amzn.to/468WkBp
CHAPTERS:
0:00 Intro
3:49 Background Stephen Timoshenko
5:57 History of Beam Theory
10:45 Euler-Bernoulli vs Timoshenko Beam Theory
12:49 Modeling Shear
19:38 Assumptions
An introduction and discussion of the background to Timoshenko Beam Theory. Includes a brief history on beam theory and Stephen Timoshenko's accomplishments as well as a discussion of shear modeling.
Download notes for THIS video HERE: https://bit.ly/45LIqWn
Download notes for my other videos: https://bit.ly/37OH9lX
Reference: Dym & Shames, Solid Mechanics: A Variational Approach
https://amzn.to/468WkBp
CHAPTERS:
0:00 Intro
3:49 Background Stephen Timoshenko
5:57 History of Beam Theory
10:45 Euler-Bernoulli vs Timoshenko Beam Theory
12:49 Modeling Shear
19:38 Assumptions
BRITISH PARAMOUNT NEWSREEL (REUTERS)
To license this film, visit https://www.britishpathe.com/video/VLVA959RYK0S5GKKZVOJYZWSJ91KH-P12102
Marshall Semyon Timos...
BRITISH PARAMOUNT NEWSREEL (REUTERS)
To license this film, visit https://www.britishpathe.com/video/VLVA959RYK0S5GKKZVOJYZWSJ91KH-P12102
Marshall Semyon Timoshenko and his staff planning, with 640,000 men, a counter-offensive at Kharkov - the first Soviet attempt to gain the initiative in the war.
Full Description:
01.05.1942
SLATE INFORMATION: RUSSIAN OFFENSIVE
SOVIET UNION:
INT
Marshall Semyon Timoshenko (Soviet military commander) sitting at table with his staff looking at map and planning tactics
EXT
Soviet troops marching up snowy hill
Background: Marshall Semyon Timoshenko and his staff planning, with 640,000 men, a counter-offensive at Kharkov - the first Soviet attempt to gain the initiative in the war.
FILM ID: VLVA959RYK0S5GKKZVOJYZWSJ91KH
To license this film, visit https://www.britishpathe.com/video/VLVA959RYK0S5GKKZVOJYZWSJ91KH-P12102
Archive: Reuters
Archive managed by: British Pathé
BRITISH PARAMOUNT NEWSREEL (REUTERS)
To license this film, visit https://www.britishpathe.com/video/VLVA959RYK0S5GKKZVOJYZWSJ91KH-P12102
Marshall Semyon Timoshenko and his staff planning, with 640,000 men, a counter-offensive at Kharkov - the first Soviet attempt to gain the initiative in the war.
Full Description:
01.05.1942
SLATE INFORMATION: RUSSIAN OFFENSIVE
SOVIET UNION:
INT
Marshall Semyon Timoshenko (Soviet military commander) sitting at table with his staff looking at map and planning tactics
EXT
Soviet troops marching up snowy hill
Background: Marshall Semyon Timoshenko and his staff planning, with 640,000 men, a counter-offensive at Kharkov - the first Soviet attempt to gain the initiative in the war.
FILM ID: VLVA959RYK0S5GKKZVOJYZWSJ91KH
To license this film, visit https://www.britishpathe.com/video/VLVA959RYK0S5GKKZVOJYZWSJ91KH-P12102
Archive: Reuters
Archive managed by: British Pathé
Scopri le differenze fra il modello di trave di Eulero-Bernoulli e il modello Timoshenko.
✅ RESTA AGGIORNATO
Non perderti i nuovi video. Iscriviti alla newslet...
Scopri le differenze fra il modello di trave di Eulero-Bernoulli e il modello Timoshenko.
✅ RESTA AGGIORNATO
Non perderti i nuovi video. Iscriviti alla newsletter del blog e scarica subito 4 applicazioni gratuite per il calcolo strutturale:
https://www.marcodepisapia.com/iscrizione-newsletter/
⭕ Clicca Mi Piace sulla pagina Facebook per essere aggiornato sui nuovi contenuti:
https://www.facebook.com/mdpcivilengineer/
Scopri le differenze fra il modello di trave di Eulero-Bernoulli e il modello Timoshenko.
✅ RESTA AGGIORNATO
Non perderti i nuovi video. Iscriviti alla newsletter del blog e scarica subito 4 applicazioni gratuite per il calcolo strutturale:
https://www.marcodepisapia.com/iscrizione-newsletter/
⭕ Clicca Mi Piace sulla pagina Facebook per essere aggiornato sui nuovi contenuti:
https://www.facebook.com/mdpcivilengineer/
Distinguished engineer and scientist and director of the National Science Foundation Subra Suresh received the Timoshenko Medal at the 2012 ASME Honors Assembly...
Distinguished engineer and scientist and director of the National Science Foundation Subra Suresh received the Timoshenko Medal at the 2012 ASME Honors Assembly in Houston, TX.
Filmed, produced, and edited by MiB Mediaworks
http://www.mibmediaworks.com/
Mark Brodie
Distinguished engineer and scientist and director of the National Science Foundation Subra Suresh received the Timoshenko Medal at the 2012 ASME Honors Assembly in Houston, TX.
Filmed, produced, and edited by MiB Mediaworks
http://www.mibmediaworks.com/
Mark Brodie
Developing the Euler-Bernoulli equation for a beam element. Deriving the shear, deflection, moment and distributed loading equations based on beam theory. Prese...
Developing the Euler-Bernoulli equation for a beam element. Deriving the shear, deflection, moment and distributed loading equations based on beam theory. Presenting the difference between Euler Bernoulli and Timoshenko beam theories.
Developing the Euler-Bernoulli equation for a beam element. Deriving the shear, deflection, moment and distributed loading equations based on beam theory. Presenting the difference between Euler Bernoulli and Timoshenko beam theories.
#finitelements #abaqus #timoshenko
In this lecture we discuss the formulation for beams that are are short (L) compared to the thickness (t), that is (t/L) less than 8. We will use Timoshenko beam theory to solve the finite element problem. We demonstrate that when using 2pt Gauss quadrature for a linear element, it will exhibit shear locking and that to resolve that only two approaches are available:
(1) Reduced integration, 1 pt Gauss Quadrature Rule
(2) Consistent Interpolation, where a quadratic interpolation is used for the transverse deflection, but a linear interpolation is used for the rotation.
This is discussed also through some examples in my book.
An introduction and discussion of the background to Timoshenko Beam Theory. Includes a brief history on beam theory and Stephen Timoshenko's accomplishments as well as a discussion of shear modeling.
Download notes for THIS video HERE: https://bit.ly/45LIqWn
Download notes for my other videos: https://bit.ly/37OH9lX
Reference: Dym & Shames, Solid Mechanics: A Variational Approach
https://amzn.to/468WkBp
CHAPTERS:
0:00 Intro
3:49 Background Stephen Timoshenko
5:57 History of Beam Theory
10:45 Euler-Bernoulli vs Timoshenko Beam Theory
12:49 Modeling Shear
19:38 Assumptions
BRITISH PARAMOUNT NEWSREEL (REUTERS)
To license this film, visit https://www.britishpathe.com/video/VLVA959RYK0S5GKKZVOJYZWSJ91KH-P12102
Marshall Semyon Timoshenko and his staff planning, with 640,000 men, a counter-offensive at Kharkov - the first Soviet attempt to gain the initiative in the war.
Full Description:
01.05.1942
SLATE INFORMATION: RUSSIAN OFFENSIVE
SOVIET UNION:
INT
Marshall Semyon Timoshenko (Soviet military commander) sitting at table with his staff looking at map and planning tactics
EXT
Soviet troops marching up snowy hill
Background: Marshall Semyon Timoshenko and his staff planning, with 640,000 men, a counter-offensive at Kharkov - the first Soviet attempt to gain the initiative in the war.
FILM ID: VLVA959RYK0S5GKKZVOJYZWSJ91KH
To license this film, visit https://www.britishpathe.com/video/VLVA959RYK0S5GKKZVOJYZWSJ91KH-P12102
Archive: Reuters
Archive managed by: British Pathé
Scopri le differenze fra il modello di trave di Eulero-Bernoulli e il modello Timoshenko.
✅ RESTA AGGIORNATO
Non perderti i nuovi video. Iscriviti alla newsletter del blog e scarica subito 4 applicazioni gratuite per il calcolo strutturale:
https://www.marcodepisapia.com/iscrizione-newsletter/
⭕ Clicca Mi Piace sulla pagina Facebook per essere aggiornato sui nuovi contenuti:
https://www.facebook.com/mdpcivilengineer/
Distinguished engineer and scientist and director of the National Science Foundation Subra Suresh received the Timoshenko Medal at the 2012 ASME Honors Assembly in Houston, TX.
Filmed, produced, and edited by MiB Mediaworks
http://www.mibmediaworks.com/
Mark Brodie
Developing the Euler-Bernoulli equation for a beam element. Deriving the shear, deflection, moment and distributed loading equations based on beam theory. Presenting the difference between Euler Bernoulli and Timoshenko beam theories.