Method of Sections for Truss Analysis Example - Statics and Structural Analysis
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- เผยแพร่เมื่อ 15 ก.ย. 2024
- Example problem using method of sections for truss analysis - statics and structural analysis.
i) Calculate Support Reactions
ii) Cut and Isolate
iii) Apply Equilibrium Equations on the isolated FBD
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I'm a former engineer returning to the field, studying for the FE/EIT exam. I'm re-learning everything. This is super helpful! Thanks!
I am trying to do what you did a decade ago. I hope one I will learn better this time without stressing about grades.
Over a decade later these vids are still helpful
Thank you! 🙏🥰
It may be the fact that I've taken so many structures classes but it's amazing how simply you put that. In my Statics course I never understood how to do this but it just clicked! Great job.
Thank you for your AWESOME videos. They are thorough but quick! You dont take forever to explain stuff but you go over important points systematically! AWESOME!
+Layla Bz Thank you for the kind words on my teaching approach! On another note, your comment just pops with energy. I feel motivated to do more just from reading your words. I wonder if it's the word "AWESOME" in all caps...your comment is AWESOME! Mechanics is AWESOME! welcome back to structure fo rizzle AWSHIZZLE!
😭im so happy to find your videos. THANK YOU SO SO MUCH SIR.2022 ,10 years after your video but stil one of the most detailed explained video of static in youtube❤️ wish you bests.
6 June,2022
Civil eng dpt.Türkiye.hacettepe üniversity
When I check comments of people here, they were like for 8,9 years ago. I was just thinking about all that people. How are they now?how was their exam back then? What are they doing?
This circle of life is interesting. When you made this video I was about 10 and some people watched it,10 years later Im watching it.hahaha I cant imagine that little Aynil stepped on this way.fate...
I think some people in future years may read my comment,want to say to you just stay strong in your way,if you get tired take a rest but dont give up. Look at your back,thousands of people walked in this way,you are one of them.you are not alone.its not the end of world dont worry keep calm.
The stress of exam night believe me all of us exprienced that.keep calm.
Wish you all bests.May Allah help us🌼
the line of action of the total FDE goes through point A, therefore it induces no moment about A.
For the summation of y, shouldn't it be FDEsin a?
Thank you! you didn't overdo it nor did you rush. understand trusses much better now. :)
Really like the way you've explained things here! It's hard not to sleep in class with my current statics professor.
THANK YOU. I've been struggling to learn this so much but your video made it so simple!
Wow! I think your are the best explaining this stuff. I have learned so much from watching your videos.
Great Video thoroughly enjoyed it! Maybe try zooming in more and you added a15' instead of 10' for that last calculation.
excellent, and clear! One of the more complex trusses I've seen on these videos, which is a good thing. (not many trusses have only 5 members) Thank you.
Hi, when you solve for FNE, why did you not include FDE in the sum of moments? Wouldn't the x and y components of FDE create a moment on A?
THANK YOU !!! I have to do this for my engineering class, and next week we have finals ! This helped me so much ! You made a couple mistakes, but I know what you meant. Thanks a lot man.
oh ! I' m really pleased because I am able to watch this video!!! Really appreciate! THANK U FOR YOUR HELP!
thanks man i was about to give up on applied math. you the real mvp
Just some algebraic errors but an excellent tutorial. This is the best I've seen so far and will definitely help in my exams.
Apart from a few mistakes (which are mentioned), great video and explanation.
After making the sum of Horizontal and Vertical forces = 0 , you only need to make the sum of the moments around joint (A) = 0 in order to find all the three req'd member forces.
Watched method of joints, method of sections, analysis of frames and machines in prep for my exam later...helped a lot, thanks! :D
*just frame analysis haha
Great work, you have a great pace and thorough explanations.
woww thats really awesome explaining ... thank you and one thing i like about this video that you explain every little thing that we sometimes get stuck to continue solving the exercice...
Anw thank u so much
Thank you!
thanks a lot bro , you just made my structure analysis so easy .A BIG THANKS.
Hi, when you are calculating the sum of forces in the Y direction, why do you not take account of the 10k forces acting down and the 35k reaction force? thanks
Thanks for the question. Yes, you are right. I got sloppy at the end of the video with my algebra. I've considered taking the video down...but it seems to be helping more than harming thus far. You know, It's like owning an amazing house but a crappy bed...you may feel good but your back hurts after a while.
Helping engineers all around the world, structurefree
and me ;)
Thank you so much for this informative video! it helped me understand the method of sections a whole lot better! :)
@structurefree, I'm not sure if anyone has pointed this out but when you sum the moments about N to get FDE the third term should be 10k x 10'. You have written it as 10k x 15'. Funnily enough when you calculated the force you have corrected it without correcting it on the sheet. Not that I'm trying to be a stickler, just thought you'd like to know.
Thank you for the video anyway. Very informative. It's been a while since I touched this stuff.
again goooood job,i love it
Wish you taught in our university!
You are a great teacher
🙏
So many mistakes, but nevertheless this video is very useful for understanding. Thank you
That was awesome thank you. I finally get it! Makes total sense!
@TheImran826 yes. it should be sin.
No, I agree with you. Why throw out a great video over one tiny little thing? You could just put a message up at that time in the video letting people know I guess. All of your videos have been extremely helpful in MoM and statics. You always do a great job :-)
Great video!
i used the moment about E to calculate FNM.
i doubt if the sums of cut components add up to zero but thanks .its really helpful
Thank you~ it has been very helpful, and thanks for putting in the note to clear up the error.
That was really helpful !!! Thanks a lot.YOU ARE AWESOME
you know what this is an great attempt..i appreciate it..keep it up..cheers
Wait! when taking moment about a why are you not taking into account the x and y components of Fde? aren't they also creating a moment about a? ....why am i expecting a reply... this video was made like 2 years ago.
op never mind, the force is collinear with a... ima genius
wow! i made all kinds of mistakes. although, i didn't use the sum of forces in the Y equation, i should have included the loads. -10^6 points for me.
another helpful video
Thank you so much! Helped clear up some confusion I had about a couple little things.
thanks a lot for the free help, but when your taking the moments about the three points, how come you can ignore beams OD and PC?
by finding the value of force NM we can put the value in first two equations(sum of x forces equation and sum of y forces
equation).then we have got two equations with two variables and we can find the angle. then solve the both equations and we have got the values .no need to find moments at A
these videos are really so helpful,thanks man :)
Thank you for your great video
Problems like these can be solved usually by moments at points most of the time especially when two other members are cancelled out at that point.
THANKYOU SOOOO MUCH!! This was a big help
I wonder if it's possible to use the equation you made in the summation of Fx and Fy to obtain the internal forces of the members FDE and FNE since you already have the internal force FNM?
-By just obtaining the angles needed
-and by using algebra(matrix) or by simply plugging in the values needed in the calculator?
Is it possible?
i was also doubting this
thanks for the help but I think u made a mistake while so I ng for the moment about N. one of the downward forces of 10 you wrote with a distance of 15 when it should be 10 . but other than that great video
Yeah i was thinking that too. I came looking for the comments if someone pointed that out. That 10 kips should have a distance of 10ft right?
+Mikki Minnie yeah
I agree the arm of the force should be 10 instead of 15.
Yep noted. It should be 10kips(10’) and not 10kips(15’) although I was totally confused in class until I saw this video. Great stuff.
yeah. everything is correct except for that distance. instead of 15 it has to be 10.
Your videos are awesome!
Man you are awesome 😍
almost goated.
Great Video
Good effort keep up the good work!
Is it because it's symmetrical in force on both sides (not about the shape), that's why we can apply the 'cut through' method? Thank you.
Thanks a looot it really did help me :)
Great video but the volume of the audio is extremely low.
the last moment of fde 15' instead of 10'
Your moment on N, 10 kips with 15 ft. distance must replace with 10 ft.
Amazing video 😍
Great vid
This was extremely helpful. Thank you!
looks like i was sloppy in the middle too. i put an annotation in the video.
thanks for the comments. i got sloppy at the end. minus 5 points for me.
Thanks a lot Sir for your awesome videos :'( Really thanks a lot
so lovely and helpful , thanks alot!!
isnt the joint in compression if the force exerted by the joint goes outwards (ie positive in your explanation)? (Because its exerting an opposing force to that which is exerted upon it, like Newton said?)
Our lecturer explain it to us that way and im slightly confused now haha
When you are taking the moment about N why do you have F(de) as a negative when both the x and y components are in the positive?
Thank you for the videos by the way
+bonkers9991 he assumed counterclockwise direction as positive. Fde induces a negative momentum about N.
+Layla Bz thank you
hello sir can you make video on method of members? please ......thank you
thank you! :) this is very helpful!!
Thank you so much but i notice soomething wrong when you solve Fde the one 10 kips there must be times to 10 not 15...
yeah i agree with you @trexiamaetabudlo
Maybe I'm not getting this, but your last eq shows you taking the moments to the left of DE and you calculated with 5'x10k + 15'x10k - 15'x35k. I don't think you did that correctly. The second 10k load is only 10' away, not 15'.
For the sum of moments about N it should be 10 kips times 5 like you have and then 10 kips times 10 instead of 10 kips times 15.
Go birds!
What software are you using? Great video by the way! 👌
i use onenote now.
@@structurefree do you use a tablet with a pen or a just a scribe pad to capture your writing? It's very well presented!
it is very helpful for me
7hank you for our for awesome mechanics
In your (iii), why does summation of Fy not include the three 10k forces as well as the Ay?
Neil R well you don’t include the one that goes through the point he is taking a moment about
why you didn't consider components of Force in DE while taking moment about A???
With the two equations you got could you have just done Cramer's rule with the two unknown forces set to x1 and x2
Where you able just to start with moment at N to find the Fde, then moment about A?
Hey structurefree, why didn't we take the y component of F(de) when taking moment about point N. Wouldn't it produce moment as well?
At 14:00
it's because the y component of F(de) is acting directly at N, meaning no perpendicular distance , hence no moment.
there is no x distance
I got completely different answers. I don't think I did anything wrong.
I got DE as -49.58k. NE as 325k and NM as 41.67k
I first found the support reactions.
Ax as 0, Ay as 35K, and Iy as 35k
then I took the moments about point N
Sum(M) at N
-9xDEsin(59.036)+5x10+10x10-35x15=0
which gives me DE= -49.58k (in compression)
then I took moments about point A
Sum(M) at A
-5x10-10x10-10x15+NEsin(67.38)
NE=325k in tension
After that I just took the summation of all the forces along x axis.
Sum(F) along x
-48.59Sin(59.036) + NM=0
which gave me 41.67k (in tension)
Can anyone confirm if these answers are correct or not?.
I tried using truss solver softwares and its giving me 48.591 for DE (in compression) which is correct. 21.667 for NE (in tension) which is different from what I got. And 33.333 (in tension) for NM.
Figured out the mistake in my calculation. Didn't multiply NEsin(67.38) with the length 15. After making this correct I get the NE as 21.667 which is correct.
I counted at least 5 mistakes. Proceed with caution
may I know for the vertical equation, why we do not need to count Ay, three 10k force inside?
at 9:46 I don't understand where you get all these numbers. I know they come from the Truss, but you just say them list them all without any explanation where they are coming from. I'm trying to do studies aboard in France and they only use letters for their equation and makes it even less clear. I was able to understand everything up to 9:46.
i already gave this a subsrcribe but i have got a question why r u not takin in accoutn for the 10 n forces accting at the joints when u are doing the sum of the Fy compopnets at certain point?
Are you sure that your moment about point n equation is right? You have (10kip)(5ft) as well as (10kip)(15ft). Shouldn't that second 10kips have a moment arm of 10ft? Starting at 14:36
If I take the moment about point N instead of point E, will I still be able to isolate the force DE by itself? Since NE and NM will be in the same line of action (?)
how to know which component will cause moment? I mean to say first you took vertical and then horizontal.
Hi,, i just figured out that u r taking sum of forces along x axis=Fde=cos theta
and then again for y direction u r taking it cos alpha again... shouldn't it be sin alpha???
Wouldnt FDE create a moment when taking the moments about point A?
like the video bt one question,
when u took the momnt abt the pt 'A' shudnt u take the vertical and the horizontal forces due to the member DE too??
Thanks
Thanks you so much !!!!
Shouldn't u analyse FNM .cus its not vertical on line NE ..when u take the moment !?..please help ..
thank you ♥