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.
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 :)
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.
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.
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 !
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.
Easy and very quick to understand sirr
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I love you bro, nice example
Thank You so Much dear
@@MaheshGadwantikar Hello. How did you assume it to be a 2 degree polynomial?
there isnt video in spanish, but i understand very well your example. thank you very much.
Thanks
Thank you so much sir
Your explanation and presentation both are too good.keep going
Thank you so much for kind words..
The Dark King
Sir... Thank you for providing this amazing class
It's my pleasure.
Bonita letra escrita con la mano izquierda, propio de personas inteligentes, que dominan también las Math, entiendo Inglés desde México.
excellent class with simple explanations.
Thank You
Thank you for this video your explanation is awesome
Ty so much
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.
thank you so much sir.
love from pakistan
Thank you & my pleasure 💗💗 love from India
Thank you sir ❤️
My pleasure 🥰
Thanks chit👍
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You are wonderful
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thank you this was helpful :D
moment of inertia : 1:24 just listen to the sound
Thank you sir for these video
Thanks for the quick response.. Tommorow will solve some Problems on Rayleigh Ritz Method.
OK I will do that. Thanks for the compliments
Closed solution is polynomial 4. degree. Better apro. is with sin function..
Please check the final Answer, It seems to get 5/384 not 1/96.
Approximate Solution
Polynomial approximation is less accurate, trigonometric approximation is more accurate
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 :)
Bróther
Sir how to fix the displacement function
How can I solve problem if 2 bars hanged at node1 and rigidly linked together at node2
Sir,please upload all beams deflection and slope formulas
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thank you sir
Thanks for your quick comments, Tomorrow session I will solve the Problems on Rayleigh Ritz Method.
What is the difference between weight residual and Rayleigh Ritz method??
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.
Sir for point load problem video??!
It's available in the playlists.
But deflection of ssb with udl is 5/384ei wl^4
It's not deflection, I took for Bending moment. Methodology may be different..I think this will be the easiest method.
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.
Sir aapne ne trusses ke video baneya kya ho tho mujhe send plz
Visit my play list
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 !
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.
Thanks a lot for your tiresome effort in the video
As a teacher, it's my duty
Man why r u doing differentiation when integration sign is given over there
I was also going to ask the same question
He done integration only bros
Sir how to pass fem subject what topics we have to learn to pass this subject
All the units are easy.
Sir why you taken 2 degree polynomial, why not 3 degree polynomial please reply
It's an Choice, you can select either 2 or 3 polynomial
Excellent thankq for ur explanation
Im not going to clg anymore
Thank you...
Sums on this model may increase our confidence
Then what about moment equation sir
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.
Im new to fem can i have some introduction abut finite element methods
Introduction of fem is already available
strain energy calculation is wrong sir there we have to do integration not differentiation
He did integration only bro there is constant and variable adds after integration
Sir please solve RR method udl problems. With both side fixed. Sir please solve from FEM TEXT BOOK BY S.B.Halesh
U mean Rayleigh Ritz Method for Udl problem.
Mahesh Gadwantikar yes sir. Those RR method problems
Ok..I will, Please visit my Playlist..for More Problems on FEM
Mahesh Gadwantikar sure sir thank you 😊
Why diff. Two times...
Text book author for this problem is s.Md.Jalaludeen
I
Hai i need help sir topic
are sir potential energy ka formula glt use kr liya aapne check kro kro
K
Explanation process was fast not understanding well
Total wrong sir
Not 96 lost
Confused ...
Y
Hindi me bol leta bhai🤣🤣
Waste of time
thank you sir
Your welcome