Analysis of Beams in Finite Element Method | FEM beam problem | Finite Element analysis |FEA

New Video: • Advanced Structural En...
A beam with uniformly distributed load. Calculate the slopes at hinged support.
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Introduction to FEM:
1. Overview of finite element analysis | Fully Understand What is FEM ? Why FEM ? Must Watch : • Overview of finite ele...
2. Types of Finite Element: • Finite Element & Their...
3. Know about degrees of freedom: • How do you determine D...
4. Location of nodes
• How to Select a Proper...
5. Boundary conditions: • Boundary conditions in...
6. Concepts Bar elements :
• One Dimensional bar Pr...
Spring Problems using FEA:
1. • Spring Element in fem ...
2. • 1D Finite Element Anal...
3. • Calculate the Nodal Di...
4. • Find the Deflection an...
5. • Principle of Minimum P...
6. • Spring Problems in Fem...
7. • FEM Spring Problem | F...
8. • FEM Spring Problems | ...
9. • Analysis of Simply Sup...
One Dimensional Bar Elements
1. • Thermal Load Problems ...
( Forces are applied towards left i.e opposite )
2. • Basic Steps in the Fin...
( Basic Steps in FEA)
3. • Composite bar formulat...
( Two bars parallel with spring attachment)
4. • 1D Finite Element Anal...
( Two bars parallel with spring attachment)
5. • Structural Analysis of...
( Gap between the bar and wall problem)
6. • Structural Analysis of...
( Gap between the bar and wall problem)
7. • FEM Thermal Analysis |...
( Step bar both ends fixed )
8. • FEM Bar Elements Probl...
( Tapered bar)
9. • Finite Element Analysi...
( Uniform bar with gap between bar and wall)
10. • Finite Element Methods...
( Very Important problem on bar)
11. • FEM Bar Problems |Fini...
( One End is fixed )
12. • FEM bar problem | FEA ...
( One end is fixed load applied at the another end)
Beam Element Problems
1. • Reaction forces on a b...
( More details about Reaction forces calculation)
2. • Nodal forces and Bendi...
( SF and BM formula for different loading conditions)
3. • Find the Deflection an...
( Beam with Spring support)
4. • Analysis of Beams in F...
( UDL load entire the span of beam)
5. • Beam Problem in Finite...
( Concentrated loads )
6. • Structural Analysis fo...
( Cantilever beam )
7. • FEM beam problems | Fi...
( Cantilever beam with roller support at end, point load)
8. • Beam problem in Finite...
( Continuous cantilever beam with two supporters)
Advanced Problems in beams:
1. Cantilever beam with spring support at the end: • Cantilever beam with s...
2. Analysis of Simply Supported beam with Uniformly distributed Load( udl): • Analysis of Simply Sup...
3. Combined Udl and Point load acting on a beam: • How to Calculate the N...
Truss Elements Problems:
** New* Problem** Must Watch*** • Analysis of Composite ...
1. • Connectivity table for...
( Three elements, connectivity table)
2. • Boundary conditions in...
( Boundary conditions )
3. • Trusses Method for Beg...
( two elements, one roller support & one hinged support )
4. • Analysis of Trusses Us...
( Two elements both end are fixed )
5. • Analysis of TRUSSES Wi...
( Three elements)
6. • Finite Element Analysi...
( Three elements, two hinged and one roller support)
7. • FEM truss problems | F...
( Two elements, One roller support )
8. • FEM Truss Problems| Fi...
( one hinged support and one roller support)
9. • FEM TRUSS PROBLEM | Ca...
( Four elements , two loads at different nodes)
Constant Strain Triangle ( CST Elements )
*Know of CST & LST Watch 👇* • Know about CST, LST an...
1. • Isoparametric triangul...
2. • Problem 3_CST problem ...
3. • Problem 2 _ CST Elemen...
4. • Stiffness matrix for t...
( Stiffness matrix calculation )
5. • Problem 1_ CST Element...
6. • Constant Strain Triang...
7. • Two Dimensional CST El...
8. • Strain Displacement Re...
( Strain- displacement derivation )
9. • Constant Strain Triang...
10. • Plane Strain Problems ... ( Plain strain Problem)
Heat Transfer Problems
1. • Heat Transfer Problems... ( wall element )
2. • FEM Thermal Analysis |... ( Bar element)
3. • Heat Transfer Problems... ( Composite materials)
4. • Heat Transfer Analysis... ( wall elements)
5. • Heat Transfer Problems... ( fin element)
6. • Analysis of Simply Sup... ( composite wall materials)
7. • Analysis of Composite ... ( Composite materials)
#fembeamproblems

[@mechysam]

Fantastic teacher you are... God bless you.. 😇👍

[@MaheshGadwantikar]

Thank You So Much 🙏

[@markmumiriki2979]

Sir thank you very very much,from Algeria ,your method is so easy to understand and you just explained every step,i have tried you method on the exercises of my professors and it worked very very well,.and lastly thank you so much for putting your videos in English!,much love from Algeria

[@MaheshGadwantikar]

Thank You, please do support our channel

[@arttradingacademy2779]

Its very very useful to those students who not afford tuition fees now a days tuition fees are in lacs Thanks mahesh and keep it up.

[@MaheshGadwantikar]

Thank you Rathod ji

[@ashleymason35]

Thank u sir! I am able to understand fem just because of you .

[@MaheshGadwantikar]

Thank you so much..

[@gizachewbewket2701]

Dr. your teaching way in perfectly understandable thank you i always need like you fantastic teacher god help you!!!!!💝💖💝💝💯

[@MaheshGadwantikar]

Thank you 🙏

[@gizachewbewket2701]

🙏💞@@MaheshGadwantikar

[@blessingxaba5487]

You do not know sir how much you helping us,without you ,we wont able to pass our exam.i do not know how can i thank you but God will do it you for me

[@MaheshGadwantikar]

Thank you for your valuable words..

[@opensourcemechanics]

Your videos are truly excellent. Thanks for sharing!

[@RobbieDonald7]

Your english is very good.

[@varunmali7412]

You dont know how many good wishes you are getting

[@MaheshGadwantikar]

Thank you 💞

[@mutiabey]

This is a fresh reminder of my third-year theory of structures. tough days those were

[@MaheshGadwantikar]

Is it..

[@mutiabey]

@@MaheshGadwantikar initially it all looked hard but diving in everything got so easy. If only I had this tutorial back then my life would have seamless. Good job you are doing

[@MaheshGadwantikar]

Thank you so much Bryan.. I'm honoured..

[@abhaymandal7094]

For a beam shown in figure, determine the displacement and slope at node 2. Also find the reaction forces and moments at node 1 and node 3. Consider E=210GPa and I = 4x10-4m4.

[@user-tf6pf6sy4u]

more explanation for forces and moments taken in force matrix is appreciated

[@MaheshGadwantikar]

Thank you 👍

[@kasperkerkhof2252]

Thanks for the explanation. I have one question, at 30:00 you state 'there is no shear force' and therefore f2=f3=0. There is an internal shear force in the beam (as a result from the udl) and initially I thought f2 and f3 would represent the reactions at node 2 and three just like v2 and v3 represent the deformation. But now I wonder do f2 and f3 represent point loads at the joints? In that case the statement f2=f3 is correct. So my question is what do f2 and f3 represent?

[@MaheshGadwantikar]

I will explain you tomorrow

[@RamnagarNirankari]

😅😅😅

[@wonderfulwolf5285]

​@@MaheshGadwantikar3 years no explanation

[@crazycrow94]

You teach better than my stupid University teacher , thanks so much !

[@MaheshGadwantikar]

Thank You So Much Sir

[@crazycrow94]

@@MaheshGadwantikar if only you are my teacher and i discovery your channel earlier and not one day before my exam ....

[@idris07ful]

teacher from where you get this value for equation 1

[@khaledmec9691]

Thanks it is useful and easy to understand.

[@MaheshGadwantikar]

Thank You So Much for your support

[@calebhadley1788]

much help!

[@MaheshGadwantikar]

Thank you Hadley. Thanks for your Support.

[@ayubshaik9443]

I have a doubt , How to define directions of nodal shear forces & behind moment(Fd....&Md)???

[@drvamsikrishnamamidi5943]

could you please clarify, why you have taken moments in different directions for element -1, in the previous step both were in same direction

[@deepikasahu5018]

Thankyou very much bro very useful video

[@MaheshGadwantikar]

Thanks Deepika, More 30+ Lecturer on Fem in playlist. Please do Subscribe to know all the videos and share with friends.

[@oundhakar]

Eliminate the zeros first, so you're left with a 2x2 matrix right at the start instead of working on a 6x6 matrix only to throw away most of the values.

[@MaheshGadwantikar]

Dear Abhijeet, Some of the Steps are reduced here because I focus on other thing in this Problem, If You want to know about elimination method, watch my another video on assembly of stiffness matrix method.

[@hamzamohamed7935]

Could u do FEM for solving differential equations like: d2u/dx2=10 in the range 0 to 10.....using the following boundary conditions u(0)=40 u(10)=200 Using 4 elements. Thank you so much🇸🇩✌️

[@aaronjai8127]

Spr bro , its very helpfull

[@MaheshGadwantikar]

Thanks 😊 if you think it would be helpful for your classmates, do share..

[@komelabbaslakhani7543]

Very nice video. Keep it up!

[@MaheshGadwantikar]

Thank you brother..

[@krashnakumar3]

Good sir

[@MaheshGadwantikar]

Ok Thank you so much!

[@harshadrlg2060]

How u get eq 1 matrix values please explain sir

[@user-nd5ru9uc6p]

Thank you very much for this clear explanation..but are you sure that F2=F3=0? (30:23) It seems to me that F2 and F3 should be the reaction forces at the hinges 2 and 3 respectively, so they must be different than 0 (especially that u2=u3=0). Am I wrong?...However, this has not affected the accuracy of the results and the clarity of your approach. Please accept all my deep respects from Tunisia

[@MaheshGadwantikar]

As you said it's true, but while calculating reaction Forces both should be unknown values.

[@user-nd5ru9uc6p]

@@MaheshGadwantikar Thanks a lot for your rapid reaction :) ... all my deep respects from Tunisia

[@aaryad9043]

M2, M3 should be zero or M2d(1)+M2d(2)+M2 and M3d+M3d should be zero resp? As total moment at roller should be zero

[@saroj4736]

if the load is right angle triangular with zero at fix support and maximum at point 2 what will be the shear force at node 1 and 2 at 16:18

[@drvamsikrishnamamidi5943]

can you explain clearly about the bending moment for the element-1

[@swapnilmoksh8691]

Sir but why shear forces are zero???

[@abijithbalaji795]

Hi sir, I have a doubt instead of hinged support if they give anything else what will be the moment at that support....

[@HappyKumar-uy3qj]

sir pleas make a video on assembling the matrix for mXn matries with formula

[@MaheshGadwantikar]

Already Assembly of stiffness matrix video available.

[@HappyKumar-uy3qj]

@@MaheshGadwantikar link pls......

[@mustafayalpi5088]

thats usefull thanks

[@MaheshGadwantikar]

Thank you..

[@yi0313]

why F2 F3 are zero, how can I achieve the node2 and node3 supporting force? thank u for answer

[@MaheshGadwantikar]

No vertical force available at node 2 & 3

[@prof.dr.sadiqs.muhsunal_ji6353]

​@MaheshGadwantikar Dear sir, f1 and f2 are the reactions at nodes 2 and 3 and they are not zeros

[@Tempest001_FAM]

Hi, Your work here has helped me a lot with FEM. Thank you! However, At 30:03, you said that there'll be no bending moment at node 2. I thought continuous beams have a hugging/negative moments over the supports? There ought to be a moment there since it is not a hinged connection at node 2.

[@sweetbeedatamil7308]

Thank u sir !

[@MaheshGadwantikar]

Thank You

[@RahulBanoth-gx7xs]

Deflection at loads and slopes at the ends problems on simply supported at bearings. Cpara

[@MrMilkMann]

Thank you

[@alokkumarnyati]

Thanks Buddy....

[@sabarinath7395]

Hi sir in the beginning you taken rotations in anti clockwise direction after that you have taken clock wise direction and anti clockwise direction in the next step why?

[@luisalcantara6097]

How did you come up with the matrix at 5:48? I can't follow the reasoning behind those entries.

[@pendyalaabhishek8866]

thats just formula..

[@mesfinbizuneh6642]

Hello Sir! I thanks you for your detail explanation about this lecture,but for the way you used to stiffness matrix for UDL beam is not clear for. if possible please attach it.

[@prof.dr.sadiqs.muhsunal_ji6353]

F2 and f3 are the reactions at note 2 and 3 and they are not zeros

[@dragonhot6951]

Sir YOU TOLD US WHAT TO WRITE & WHAT IS THERE BUT U DIDN'T TOLD US WHY IT IS ? LIKE WHY & WHEN V,θ,M,F ARE 0& WHEN NOT ,IF U HAVE BEEN THEN IT WOULD HAVE HELPED A LOT TO SOLVE OTHER PROBLEM ALSO

[@MaheshGadwantikar]

It Consume lot of time, instead I focus on problems only

[@aniljoshi1001]

thanks sir pls upload video on PSTP (principle of minimum potential energy) and its numericals in FEM

[@MaheshGadwantikar]

Ok Anil Joshi, I will upload within two days. Request you to share the link with your batch mates.

[@aniljoshi1001]

Thanks sir i will definitely share :) Actually I have FEM exam on 5th May so pls sir upload video on *Principle of minimum potential energy with problems and finite element analysis for plane stress*

[@ShubhamKumar-wk4my]

Sir please make a video on frame problem.. today or tomorrow

[@MaheshGadwantikar]

Ok I'll try

[@irfanklia5811]

Thank you sir

[@challagalivinay7863]

Sir in the problem for stiffness matrix k2 you multiplied the length length of first element k1-4 instead of l=5 why sir can kindly explain

[@psreekanth]

it just help to find a solution. but, please mention where it is exactly used in real life. we can't imagine our self practically

[@MaheshGadwantikar]

Good question, appreciated, But in this only video explained About calculation, not theory.

[@shitposthogaya]

VERY NICE LECTURE SIR, AFTER WATCHING YOUR VIDEOS I WROTE A BOOK ON FEM. SORRY SIR BUT I DID NOT MENTION YOUR REFERENCE HENCE I AM COMMENTING HERE SO THAT YOU CAN BUY MY BOOK AND I CAN MAKE SOME MONEY.

[@MaheshGadwantikar]

Well Done, I don't mind dear, and I don't need any book right now. All the best for your career.

[@Wise_Man_on_YouTube]

YOU DON'T HAVE THE RIGHT TO TREAT HIM THAT WAY ABHISHEK SAHA. HOW CAN YOU TREAT YOUR TEACHER THIS WAY? DON'T TAKE HIS HUMBLENESS FOR GRANTED. YOU SHOULD SEND A FREE COPY OF YOUR BOOK TO HIM. OR ATLEAST SEND A FREE COPY OF YOUR EBOOK TO HIM. Mahesh Gadwantikar SIR. YOUR REPLY IS AWAITED. BECAUSE OF YOU I SCORE 20 OUT OF 30 IN MY MID SEM EXAMS. THANK YOU SIR.

[@Wise_Man_on_YouTube]

@@MaheshGadwantikar SIR YOUR HUMBLENESS IS APPRECIATED. YOU SHOULD TEACH ABHISHEK SAHA A LESSON SO THAT HE REMEMBERS FOR THE REST OF HIS LIFE.

[@shitposthogaya]

@@Wise_Man_on_KZbin don't forget the times my book helped you pass the exams.

[@Wise_Man_on_YouTube]

@@shitposthogaya YOU STOLE IDEAS FROM HIS LECTURES AND YOU ARE SELLING THEM IN YOUR BOOK. DID YOU SENT HIM YOUR FREE COPY OF EBOOK? HE WILL FORGIVE YOU. HE IS VERY HUMBLE.

[@xhulioballa8606]

F1 M1 F2 M2 F3 m3 are the reaction forces right ??

[@MaheshGadwantikar]

No

[@xhulioballa8606]

@@MaheshGadwantikar so which are reaction forces, f1d?

[@MaheshGadwantikar]

Reaction forces are R1 , R2 etc..I separately explained about reaction forces another video

[@danjones7584]

@@MaheshGadwantikar what is this other video called?

[@ramuludurgam]

You shown element forces acting upward f1d and f2d and f3d in the free body diagram. and you took the values as negative,why?

[@civilpaiyan6259]

Sir if the beam has both udl and point load at the middle how to solve

[@fatimafarooq660]

Why F1 & M1 valus are not taken as zero while we're taking F2,M2,F3,M3 as zero?

[@MaheshGadwantikar]

No force at node 1

[@EngNjeru]

Please clarify more

[@yeeyernlim4571]

Sir, is it using the same steps for question with fixed end at left end and vertical roller at right end?

[@mutiability5806]

BRO I HAVE THIS QUESTION IN TODAY(04/02/2022) FEM EXAM....

[@MaheshGadwantikar]

Good

[@kenwen8261]

can you do 1 for frame structure

[@MaheshGadwantikar]

Ita available

[@shailadwd4493]

Sir explain the reaction also plzz

[@MaheshGadwantikar]

Okay you can find reaction support problem in my playlist.

[@dhruvparmar4061]

Why we take clockwise moment at node 1?

[@abuamir3172]

Hi sir, Can you explain the Least square method and Galerkin method?

[@sathishthanikonda8867]

i thin this will help me more,but how can caliculate the radian value

[@MaheshGadwantikar]

It's not radian Val, Its just a deformation in a angular

[@sathishthanikonda8867]

@@MaheshGadwantikar please suggest me I want know that

[@MaheshGadwantikar]

Hope I explained in the video.

[@sathishthanikonda8867]

@@MaheshGadwantikar no, you directly added the value

[@MaheshGadwantikar]

OK. Please Watch another video on beam, may be I cleared in it. Else go to the description to contact me. I will send you the explanation

[@panchireddyudayasri6948]

how to calculate answers by using casico

[@jaswanthloya5125]

I have one doubt in a element 2 the length is 5 but you can write with length 4

[@kirasacks3471]

tnx

[@MaheshGadwantikar]

Thank you so much

[@akashpattanshetti1476]

Moment of inertia I is given for entire beam but why are u using that value of I for element 1? Because inertia for element 1 will be bd^3/12 where b is 4m for element 1

[@MaheshGadwantikar]

Let me explain you, the moment of inertia is given in the question that is about 4x10^-6, so you no need to calculate, any how the b and d value we don't know, and In the solution I can consider same inertia for both elements.. Please check once

[@MaheshGadwantikar]

And one more misunderstanding, where B is the width not the length, B is not 4m, that is the length(l) of the element 1

[@akashpattanshetti1476]

@@MaheshGadwantikar my B is not width. The inertia for element 1 will be 4×d^3/12 where d can be found out by equating given inertia of entire that is I= 9×d^3/12 ...from this d we can thn calculate inertia for each element because since elements are of different length we can't take inertia of entire beam equal to individual element inertia

[@MaheshGadwantikar]

Can you forward your questions.. Please visit my channel description, you can get my details

[@akashpattanshetti1476]

@@MaheshGadwantikar I have sent an email to the mail id given in description.

[@anushalakshmi2034]

In bending moment at node how u got wl2/12.. please explain

[@MaheshGadwantikar]

For simple support beam with udl is wl2/12

[@anushalakshmi2034]

@@MaheshGadwantikar maximum bending moment is wl2/8 sir

[@anushalakshmi2034]

@@MaheshGadwantikar how wl2/12 please explain sir.

[@MaheshGadwantikar]

Evening I will explain you..mam,

[@sandeshwankhade7893]

@@MaheshGadwantikar one of them should be negative right ?

[@farveenbanu9042]

Could you help me out to solve beam problem of finding more variable deflection i have some solved sums but isn't clear can i send pic of that ?

[@MaheshGadwantikar]

Yes . You can send me

[@ayushtripathi8013]

SIR WHY DID WE TAKE F2=F3=0 AND M2=M3=0

[@drvamsikrishnamamidi5943]

UNIFORM VARYING LOAD PROBLEMS, CAN YOU GIVE DEMO

[@MaheshGadwantikar]

Okay Sir, I will Find out such Problems. Thank u sir for your kind consideration

[@raghavendranaik_61]

sir pls tell me how to find displacement at each node?

[@MaheshGadwantikar]

At each there will be 2 dof for beam element. V and tita.

[@raghavendranaik_61]

@@MaheshGadwantikar whose value be zero expect tita 2 and tita 3?

[@MaheshGadwantikar]

The value will be zero if ends are fixed

[@charan1564]

Sir this exact sum was given 🤦🏼‍♂️🤦🏼‍♂️ but today sum not attempted

[@shaikkhaleelpasha4809]

WHAT STANDS FOR F1d and F2d and M1d what d stands for

[@MaheshGadwantikar]

F1d=Vertical force at node 1, M1d= Couple moment at node 1

[@shaikkhaleelpasha4809]

@@MaheshGadwantikar and what is v1 and v2 etc.. those are also vertical deformations right

[@MaheshGadwantikar]

Yes, your right..

[@s.h.e.v.1909]

I don't think both conditions v2=0 and F2=0 can be met at the same time. Same remarks for v3=0 and F3=0. We overlooked this because it didn't have any incidence over the final answers as we were asked to find the rotations.

[@jbikshapathi3280]

Sir fem subject important question chepandi

[@vattesrinadh6073]

Tq sir help me

[@user-cs9mi7vd6c]

I love you 👍👍👍

[@elnaeemabdalla]

Thanks for sharing This great knowledge Would you please write the channel email so we can ask some questions with drafts

[@MaheshGadwantikar]

Thank you so much dear.. I will provide it in the description

[@elnaeemabdalla]

@@MaheshGadwantikar Thanks alot for instant response

[@abhinavkotnala8859]

Why is F1 and M1 non zero ?

[@arhunjayasai996]

For me also sir unable to solve beams sums. How can I send sums sir

[@MaheshGadwantikar]

You mean global stiffness matrix?

[@arhunjayasai996]

@@MaheshGadwantikar simply supported beam type sum. And I am unable to say I want to send a question which I am unable to do. How can I send.

[@MaheshGadwantikar]

Visit channel description u can get my details

[@arhunjayasai996]

@@MaheshGadwantikar I didn't find your description. Please send

[@sridharmullu2204]

How to solve uvl beam problems sir

[@MaheshGadwantikar]

I will find uvl problems and publish soon.. Thanks for the advice

[@sridharmullu2204]

Tomorrow fem exam sir Plz tell me sir What are the main conditions to solve the uvl problems

[@MaheshGadwantikar]

Please find my details in the channel description, I will send some notes

[@sridharmullu2204]

How to change weak form to strong form sir

[@thestructuralanalysismatri590]

i use only 5x5 matrix.....

[@egectnr]

This is direct stiffness method.

[@harilakky7666]

I am not understand to the k1,eq1

[@paras1181]

F2 and F3 is not zero, no?

[@MaheshGadwantikar]

Yes.

[@paras1181]

So we can calculate F1 , M1, F2 and F3?

[@dasarieswarkumar4025]

Bro assal em chepthunnav bro ardham kavadam ledhu

[@Saurabh_Dandekar]

i thought clockwise moment is positive

[@MrMilkMann]

Right hand rule, counter clock wise is positive.

[@jbikshapathi3280]

Hi sir

[@praveenyadav-yt7gr]

Aap toh bhagwan ho

[@MaheshGadwantikar]

Thank You

[@thestructuralanalysismatri590]

what is your email?

[@MaheshGadwantikar]

Please check in Channel description

[@RamnagarNirankari]

No not explain in proper way there is some mistakes

[@luckymagna5287]

one of the worst class ever half knowledge is most dangerous thing the world

[@kashifnaukhez7187]

No proper explanation..simply waste..explain the concepts dont show your calculations

[@atozlearneaey]

Good sir

[@MaheshGadwantikar]

Thank you sampath..I request you to please Subscribe and share it with friends.

[@idris07ful]

teacher from where you get this value for equation 1

[@MaheshGadwantikar]

From the stiffness matrix equation

[@thebesegano]

@@MaheshGadwantikar Hii, is that stiffness matrix equation applicable for any beam or only for the cantilever beam?

[@MaheshGadwantikar]

Any beam