Derivation of stiffness matrix for beam element // FEM//FEA

In this video, we derive the elemental stiffness matrix for a beam element including the associated shape functions and the finite element equation. A beam is a long slender structural member generally subjected to transverse loading that produces significant bending as opposed to twisting and axial effects. The bending deformation is measured as a transverse displacement and rotation i.e. two degrees of freedom per node. The stiffness matrix for a member is used to express the forces at the ends of the member as functions of the displacements of the member’s ends.
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We have started a new #lectureseries dubbed: Introduction to #FiniteElementMethods (for beginners). We shall be having a live lecture every week from 8.30 AM (UTC+3). The lessons will be archived in this playlist bit.ly/FEMintro. See you in class. Cheers. And always remember to subscribe to this channel.
Watch individual lectures here
1. Introduction to finite element methods • 1. Introduction to fin...
2. Linear spring as a finite element • 2. LINEAR SPRING AS A ...
3. Finite Element equation for a bar element • 3. Finite Element equa...
4. Finite element equation formulation for a Bar element in 2-D space • 4. Finite element equa...
5. Analysis of Beams in Finite Element Method • 5. Analysis of Beams i...
Tutorials/Solved problems
1. FEA solved problems on springs, tapered bar and beam//Tutorials • FEA solved problems on...
2. Derivation of stiffness matrix for a beam element • Derivation of stiffnes...
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This will allow me to create more educative videos covering various engineering topics.You can now download notes and other materials related to the lectures on this link bit.ly/4Downloads

[@fatenmahmood228]

thanks for you , a very good vedio

[@DrGathimba]

You're most welcome!

[@BenCampbell-gu2uo]

Great stuff! Thank you sir!

[@DrGathimba]

Welcome

[@francescopiazza4882]

Very good, thanks !

[@nicolaiharvik]

Great video, thanks!

[@DrGathimba]

Glad you liked it!

[@adaramolabunmi4667]

I subscribed just now. That for the lesson. But please can you make videos on fractured beams

[@DrGathimba]

Welcome and well noted

[@dhanshreenath]

Thank you sir

[@DrGathimba]

Welcome

[@bay31107]

it helps me a lot, thank you

[@DrGathimba]

Glad it helped you. Keep learning

[@tesfayeayenew1307]

thank you

[@DrGathimba]

ur welcome

[@krishnjeesingh2913]

Thanks a lot Sir

[@DrGathimba]

Most welcome

[@josephkuta9020]

Can I get lessons 1,2 and 3

[@DrGathimba]

Sure All lessons in this series can be found in this playlist bit.ly/FEMintro

[@aregahegnmulugeta6850]

hello sir can i get the the pdf material of the above lecture

[@DrGathimba]

You can now download notes and other materials related to the lectures on this link bit.ly/4Downloads

[@kelvhogitonga8177]

i still cant be able to get a1 and a2

[@martinmugabe6621]

thank you sir

[@DrGathimba]

Most welcome