Moment-Area Method - How to Solve for Maximum Deflection - Example Problem
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- เผยแพร่เมื่อ 9 ม.ค. 2018
- Here's our introductory video on the topic: • Moment-Area Method - S...
Tricky hinged beam practice problem for the moment area method: • Moment-Area Method - T...
In this video, we show you how to solve for the maximum deflection of a simply supported beam using the moment area method. This involves finding the point at which the max deflection acts, then using the M/EI diagram to solve for the deflection.
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Note: When calculating Xm at 7:25 by equating theta DA to theta A, we have to multiply 40Xm/EI * Xm * 0.5 for the area under the M/EI diagram, not just 40Xm /EI. Sorry about missing that, please make this correction.
Check out our introductory video on the moment-area method before trying this one! th-cam.com/video/jkwPzvWsqIY/w-d-xo.html
Difficult practice problem with a hinge here: th-cam.com/video/YnWRn2jVGc8/w-d-xo.html
That just got me cofused for almost 1 hour... anyway thanks...
How theat DA is equal to area of m/EI diagram explain me please
sir why should multiply 40Xm/Ei * 1/2 * Xm ? and how it is equal to area of moment diagram?
we are calculating theta therfore we cant multiply with xm it should be like 40xm/EI*(1/2) BECAUSE of the integral we multiply xm when we are calculation tca in theta we dont need multiply xm again
just notice that thank you
You just saved this student. Lots of love from Zimbabwe
Thank you for this video! very helpful, keep it up
Thank you very much sir
But I have a question is it also right to take the centroid at point of zero slope from A to the point of zero slope. Thank you
will I still get the same answer if I assumed that X distance if from the other end of support?
AF Math & Engineering thank's for this video
mark ebrahim no problem!
Bro you are a life saver
you just saved me. thank youuuu
Why, didn't you use the triangle's area in finding theta(DA)?
Sir could u do one moment area method using superposition method ?
hey AF MATH ! i really like your videos it really captivate me more than our basic "engineer" courses , that has no link with the real world :( now for this type of problem wouldn't be faster and easier to use a software that can evaluate forces applied on a surface such as "autodesk professional" or "solidworks"
Hey buddy, thank you so much for this post. We're so glad we could reach you and help you enjoy your course material more. Let us know a bit more about yourself, what year are you in and in what country are you a student?
As for your question, you're absolutely right. Very rarely in the field would we perform these types of calculations by hand. The programs you suggested though wouldn't be used by a structural engineer for analysis for this type of problem. Structural analysis software such as SAP2000, Staad Pro, Etabs, SAFE, and many more are used for the analysis of structures and typically they're much more difficult than just a simply supported beam with many variables. However, in an engineering education in University, you study how to perform these checks manually using different techniques. This is a large focus of our channel.
Check out this video for how to solve a beam for deflection, shear and moment using an evaluation version of a structural analysis software that you can get as a student. This is how engineers evaluate structures in the industry, and you can use it for your assignments too! -> th-cam.com/video/BJ0aOUGNw5w/w-d-xo.html
Thanks again for your post and question.
AF Math & Engineering first thank you so much for taking time to answer my question and it's a pleasure for me to converse with a civil engineer ! i turned 18 a week ago , i live in france , i study at the esme sudria in paris (mechanical and robotics engineering), it's my first year out of the 5 years to get the degree, and it's pretty complicated for me to say the least , i took a classe for 2 years that is not really meant to give you the keys to succeed during these 5 years , still striving for my degree i will never let go ! if i get to my third year i'll have to choose a "path"?? renewable energy for me is the future ! that's my story , now you tell me mister Af Math did you have hard times when you were student too ?
No worries man, we love chatting with young engineers. I'm Fred from the F in AF :D
That's great, it must be an exciting time in your life to start your engineering journey. Learning how to succeed in engineering at University is half learning how to master fundamental mathematical and physics principles, the rest is just learning how to master school and studying! First year is always hard, it gets easier after that. As for your "path", you'll choose a specialization stream and thats when you really start learning about your career and profession!
I had a very difficult time in my first semester as I returned to school at age 26 to start my engineering career after becoming a professional chef after high school. I hadn't seen any math, physics or chemistry in about seven years and jumped right into first year Civil engineering. It was so difficult, I had to study 6-8 hours a day in an attempt to catch up and almost dropped out. However, I stuck with it and managed to pass all of my first semester classes. After first semester I figured out how to study correctly and started achieving very good grades in all of my classes, and my grades just kept going up as I learned more about how to prepare for tests. That's the main reason why we stress tricks and tips in our videos: doing well in engineering in school is as much about knowledge as it is learning the tips and tricks you need to succeed. Don't give up, it only gets easier.
Thanks again for sharing your experiences with us, please continue to comment on our videos if you have any questions and we'd be happy to help you out. Let us know how your progress is going too. Cheers!
AF Math & Engineering thank you so much for you support ! and your story is very inspiring ! i'll take some of your videos as a secondary personal teaching for all the things we don't learn in school i always do that ! keep up you are doing a great job and i will recommend you to one of my great friends , god bless you !
Thanks a lot man, great to get to know you better. Good luck!
that's great, try getting us a video on the principle of virtual work
😎😎
Can anyone explain- where is (1/EI) in the calculation of finding the value of (thetaDA)?
Why didn't you multiply 2/3 to Xm for CG at the last equation?
thank you so much
Keep uploading videos
@7:25
You said theta DA is simply the area of the 'moment over EI diagram' between A and D. Then it should be (1/2)(Xm)(40Xm/EI) ???? 😅😅😅
Hey man, you're right, if you calculate 1/2 (xm)(40Xm/EI) you'll get the same value, 1333/EI. Not sure what time stamp you linked as that's the end of the video.
As for delta DA, which is the moment area about D of the area between D and A of the moment area diagram? Theta is the area, delta is the moment area. So by taking the area of DA, which is 40xm/EI * xm * 1/2 , and multiplying by the distance to the centroid, which is xm/3, we get the moment area about D of section DA of the M/EI diagram. Hope that gave you a bit more info :D
Also, theta DA and theta A are equal in this question.
@7:25
LOL. Hahah.
:D
Are you currently a Civil Engineering student?
Good dude😎
How do you get 8.16m? Even after the 0.5 correction in the pinned comment, I get Xm as 66.65m not anywhere near the length of the beam.
Check your units...you shouldn't be that far off..
why isn't it sin of thetaA ?
How did you comeup with xn =8.16
See the pinned comment
is the moment area method and macauly's method the sam thing?
I dont believe so no, macaulays method is a double integration concept.
Thanks, from my understanding they both share similar roots, where the integral of moment is slope and the integral of slope is deflection. Right?
In the moment area, integration of the M/EI diagram is equal to the change in slope or deflection between two points, not the value itself. Then we need to do some additional operations to get the actual values. Macaulay method is similar to deflection by integration, where you derive moment expressions for each section of the beam then solve accordingly. We have a video on deflection by integration which is very similar to this.
Thanks a lot. :)
@@Phoenix67614 Thanks man! Glad you're enjoying them!
how did you get 400/ei in the beginning
It is mentioned in the video, BMD, divide by EI
ı dont find xm=8,16 please help me :(
There's a mistake in the xm part of this video, refer to the comments below for clarification
can you solve it? coz im trying to solve the said correction but it gives me zero answer : (
Good day! Thank you! This video is very helpful!
Can you upload a tutorial for Influence Line using the Muller Breslau? Thankss !! :)
Thanks alot, we definitely considered it but it does seem like a difficult topic to explain over video. We'll add it to the list though! Thanks!
i watched the video more than 7 times but still not got it how did you find out the theta DA by BMD. :(
Did you read the pinned comment? There's a correction regarding Theta da
I LEARNT SO MUCH WITH YOU, BUT YOU ARE SO MESSY BRO XD
I'm taking a structural analysis exam tomorrow. Wish me luck guys :)
Thanks for the video btw, so helpful :)
this is misleading
What is misleading here?
Yes