Euler Bernoulli Equation for Beam Theory - Finite Element Methods

In this video I review some basic beam theory to prepare you for developing a stiffness matrix for beams.
Beams are different than truss members and springs with respect to Finite element Methods because they can resist moment. This creates a degree of freedom at the nodes as an angle of rotation which will form part of the displacement vector - this will become more apparent in my following video where we take a closer look at how to stiffness matrix of a beam is developed.
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[@WahranRai]

5:36 You must write first :
w(x).dx = dv and then w(x) = -dv/dx because the external force on dx is w(x).dx

[@dkscidmore]

Wonderful video as I've been wondering where the K comes from. Bioengineer working on my Master's in Mechanical Engineering and looking at things in the book like "Where the hell did they get this from."

[@JosueA_455]

Thank you for your video. Could you kindly let me know why sometimes the shear force V is multiplied by deltax/2 in some text books? Usually, they do equilibirum of moments and then, they multiply the shear force by deltax/2 but I do not understand why deltax is divided by 2. Thank you!

[@hcalderon179]

thanks brotha really helpful

[@souravproject9463]

Hi, thanks for the video, I'd like to know if the beam is already in slightly bending position and it could bend more internally (y-direction/top )due to more force, how can we formulate the equation? Thanks

[@felixvandorpe7187]

why does the section remain plane after deformation ?

[@6Diego1Diego9]

hey bro can you do one on translated Euler beams with a distributed load. An example where you have to use the translation matrix T. This is great though, thanks.

[@blaketabian512]

6Diego1Diego9 for sure. I will have something posted by the weekend. Thanks for watching!

[@lonleyangel95]

i don't have strong background in this topic
could somone tell me what is the difference between v(x ) shear force and the same denotation used as transverse displacement

[@mathbigsmart]

the V and v

[@motasemsudani4257]

is this Euler beam or Timochinko beam?

[@Oneplayer90]

Thanks very nice :)

[@GaryNelson284]

I need to design and fabricate a cantilever beam with internal damping sufficient to give critical damping. I surmise (based on few experiments) this will require a tapered beam with layers of viscoelastic material between more rigid layers. How can this be modeled?

[@treys9432]

you just wanted to sound smart

[@Erwanito123]

@@treys9432 poor guy

[@ZakWlak]

Saying axes for axis is really bugging me every time haha