Rayleigh Ritz Method in FEM( Finite Element Method) | Rayleigh Ritz Method example in FEA

A simply Supported beam with uniformly distributed load entire length of the beam.calculate the deflection at the centre of the span.
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[@vijayshine4908]

Easy and very quick to understand sirr

[@MaheshGadwantikar]

Thank you, It's my pleasure

[@guillermorodriguez273]

there isnt video in spanish, but i understand very well your example. thank you very much.

[@MaheshGadwantikar]

Thanks

[@Gunru_nc]

Bonita letra escrita con la mano izquierda, propio de personas inteligentes, que dominan también las Math, entiendo Inglés desde México.

[@shaiknida8758]

Thank you so much sir
Your explanation and presentation both are too good.keep going

[@MaheshGadwantikar]

Thank you so much for kind words..

[@veasna5244]

The Dark King

[@opescet4297]

excellent class with simple explanations.

[@MaheshGadwantikar]

Thank You

[@aherre15]

I love you bro, nice example

[@MaheshGadwantikar]

Thank You so Much dear

[@subhadeep_2001]

@@MaheshGadwantikar Hello. How did you assume it to be a 2 degree polynomial?

[@bibintharian4093]

Sir... Thank you for providing this amazing class

[@MaheshGadwantikar]

It's my pleasure.

[@kvganesh3704]

Please check the final Answer, It seems to get 5/384 not 1/96.

[@abaidullah6758]

thank you so much sir.
love from pakistan

[@MaheshGadwantikar]

Thank you & my pleasure 💗💗 love from India

[@paulinocongo2482]

Good afternoon professor, I need help on this question, For a straight rod with variable cross section, its cross section change function is A(x), and the Ritz method is used to find the function of deformation of the rod under action of its own weight along the axial direction.

[@karthikanandhan3373]

Thank you for this video your explanation is awesome

[@MaheshGadwantikar]

Ty so much

[@نورالاسلام-س2ن]

You are wonderful

[@MaheshGadwantikar]

🥰

[@whatra]

Thanks chit👍

[@MaheshGadwantikar]

🙏

[@yogeswaran4682]

Thank you sir ❤️

[@MaheshGadwantikar]

My pleasure 🥰

[@tejaparuchuri9531]

Sir,please upload all beams deflection and slope formulas

[@brainpuzzle7983]

Closed solution is polynomial 4. degree. Better apro. is with sin function..

[@shubhamanbhule4648]

Thank you sir for these video

[@MaheshGadwantikar]

Thanks for the quick response.. Tommorow will solve some Problems on Rayleigh Ritz Method.

[@MaheshGadwantikar]

OK I will do that. Thanks for the compliments

[@youcefbnslm9872]

thank you sir

[@MaheshGadwantikar]

Your welcome

[@mariamkamal5919]

thank you this was helpful :D

[@civilpaiyan6259]

Sir how to fix the displacement function

[@ssd7385]

Thanks a lot for your tiresome effort in the video

[@MaheshGadwantikar]

As a teacher, it's my duty

[@gauravtaranekar]

But deflection of ssb with udl is 5/384ei wl^4

[@MaheshGadwantikar]

It's not deflection, I took for Bending moment. Methodology may be different..I think this will be the easiest method.

[@challanag]

The solution obtained her is an approximation. The exact value of deflection is 5/384EI wl^4 = 1/76.8 EI wl^4. so if you wanted to extract more precise value, then displacement function needs to be considered with more x terms.

[@sakthivelt7995]

Sir for point load problem video??!

[@MaheshGadwantikar]

It's available in the playlists.

[@MJs-85]

10:17 not differentiate of 2 ... SQUARE of 2 is 4 :) the entire term (2a3)^2 is basically constant since you are integrating w.r.t x i guess your concept of integrating and differentiation are a little rusty :D but good effort :)

[@muchusudhakarsilas6889]

Bróther

[@darioquintanillahuayta2978]

It would be important that you show the positive axis for your deflection. From your solution of the deflection at point C, I assume your positive axis for the deflection is downwards.

[@wafasalem573]

How can I solve problem if 2 bars hanged at node1 and rigidly linked together at node2

[@sanjeevkumarsingh6951]

Man why r u doing differentiation when integration sign is given over there

[@champions8664]

I was also going to ask the same question

[@vnithin8264]

He done integration only bros

[@engetekengenheirosassociad2239]

Sir, I have lots doubts about where the moment of inertia is not constant in same case (cantilever beam) and method (Rayleigh-Ritz) could you help me. Tks from brazilian students ! keep it up !

[@VedanthB9]

Have you tried to use M/EI diagram to calculate the deflection? Instead of a simple bending moment diagram, try to use M/EI diagram. It may help you.

[@subhashjagu4542]

What is the difference between weight residual and Rayleigh Ritz method??

[@gurmeharsingh730]

The weighted residual method tries to minimise the residual (value of the differential equation when you put in an approximate value of the function you are trying to calculate [here that would be] y= a_0+a_1x+a_2x^2).
The Rayleigh-Ritz method tries to minimise the potential energy of the system.

[@brakeshkumar7845]

Sir why you taken 2 degree polynomial, why not 3 degree polynomial please reply

[@MaheshGadwantikar]

It's an Choice, you can select either 2 or 3 polynomial

[@HyderAli313Khan]

Sir how to pass fem subject what topics we have to learn to pass this subject

[@MaheshGadwantikar]

All the units are easy.

[@Its_mana_creations]

Then what about moment equation sir

[@PremKumar-bb5hp]

Im new to fem can i have some introduction abut finite element methods

[@MaheshGadwantikar]

Introduction of fem is already available

[@sukunmandal-]

Sir aapne ne trusses ke video baneya kya ho tho mujhe send plz

[@MaheshGadwantikar]

Visit my play list

[@Pratiksha98]

Sir please solve RR method udl problems. With both side fixed. Sir please solve from FEM TEXT BOOK BY S.B.Halesh

[@MaheshGadwantikar]

U mean Rayleigh Ritz Method for Udl problem.

[@Pratiksha98]

Mahesh Gadwantikar yes sir. Those RR method problems

[@MaheshGadwantikar]

Ok..I will, Please visit my Playlist..for More Problems on FEM

[@Pratiksha98]

Mahesh Gadwantikar sure sir thank you 😊

[@PremKumar-bb5hp]

Excellent thankq for ur explanation
Im not going to clg anymore

[@MaheshGadwantikar]

Thank you...

[@PremKumar-bb5hp]

Sums on this model may increase our confidence

[@biggbossupdates331]

Text book author for this problem is s.Md.Jalaludeen

[@ΧαράλαμποςΣυμεωνίδης-σ6ξ]

moment of inertia : 1:24 just listen to the sound

[@gadgetkid9723]

🔥🔥🔥

[@MaheshGadwantikar]

🙏🙏

[@parulbansal4983]

are sir potential energy ka formula glt use kr liya aapne check kro kro

[@MaheshGadwantikar]

K

[@Sudhanshu4538]

strain energy calculation is wrong sir there we have to do integration not differentiation

[@vnithin8264]

He did integration only bro there is constant and variable adds after integration

[@trinadhg1280]

Explanation process was fast not understanding well

[@Murkong-c2q]

Why diff. Two times...

[@sirishay7047]

I
Hai i need help sir topic

[@marthuvinay224]

Total wrong sir
Not 96 lost

[@anilaratikatla6130]

Confused ...

[@MaheshGadwantikar]

Y

[@ayushgupta6424]

Hindi me bol leta bhai🤣🤣

[@praveenstark5777]

Waste of time

[@aniljoshi1001]

thank you sir

[@MaheshGadwantikar]

Thanks for your quick comments, Tomorrow session I will solve the Problems on Rayleigh Ritz Method.