Moment-Area Method - Step by Step Explanation and Solved Example - Deflection and Slope
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- เผยแพร่เมื่อ 8 ม.ค. 2018
- How to solve for the maximum deflection using the moment-area method example: • Moment-Area Method - H...
Tricky practice problem with a hinge: • Moment-Area Method - T...
The moment-area method can be tricky. In this problem we solve an introductory problem while explaining the relation between the elastic curve, the M/EI diagram and the rotation at supports.
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Thanks for tuning in, let us know if you enjoyed the video in the comments below and what you'd like to see next!
Example on how to solve for the max deflection using the moment-area method: th-cam.com/video/2RQrSZQJTp4/w-d-xo.html
Difficult hinged practice problem for a continuous beam! th-cam.com/video/YnWRn2jVGc8/w-d-xo.html
how to get 800/EI and 600/EI ???
@@gordonloong1396 Reaction at D (taken at A): (60(20)+40(30))/40 = Rd = 60 kip
Moment at point B (cut at b, right side of beam) = -40(10)+60(20) = 800. Divide by EI. Will let you solve the rest.
You have no idea how this video helped me in my semester .THANK YOU
Your exams must be easy bro
Few hours to my final exam and studied this concept and it has helped me much.. 🔥 Thanks man
I am from India and I love this video because this help very well for preparing my semester exam
When we're finding delta DA at 7:07 does it matter if we calculate it from D or can we also start at the left from A?
thanks alot, it is very clear and helpful
Thanks a lot man. You are a life saver.
Thanks, glad you enjoyed!
Hi, I enjoyed the video a lot, Thank you. Can the same method be used for cantilever beam as well? If so can you make a video on that? Thanks.
Thank you for this!! Just, need some review of the topic and this sure helps a lot. 😭
please help me with the units. i don't understand how the final answer become 2.43 inch while my calculator says different value.
PRETTY GOOD EXPLANATION
Thanks a lot
you are the best
How did you get the delta B? How did you get 2.4 inches
This is a big help for me
You can get 800/ei by RA which is 40× distance a to b which is 40×20=800/ei and for 600 RC which is also 60x distance d to c 60x10=600/ei
THANK YOUUUUUUUU HEHE
Arigathanks Huhu💖
sir how at last deflecion will be calculated plz describe also with coversion
can u help me with similar question?
thank You
It was helpful
Hello in the delta DA in the big triangle for the centroid shouldn't it be [((800*20)/2)*(20+(40/3)) bc the formula 2/3*b in the other triangles our base was 10ft but in this big one is 20ft
fast response from everyone please my exam is tomorrow
How to find the location of max def with this example? can you help me
I love this.... Thanks.
One more thing sire, taking moment about ∆BA, you only considered anti-clockwise, why's that?
Cos I was thinking we'll consider both the CW and ACW moments
We're taking the magnitude of the moment, the clockwise is just the direction we're assuming to be positive. It has nothing to do with not taking the moment in the other direction. We need to assign a sign convention to forces and moments and be consistent throughout the entire question we don't accidentally, for example, add a downwards and an upwards force.by accident.
Understood 😁😁😁
Good morning! Do you have a sample problem using those 3 methods (moment-area, double integration, and superposition)? Thank you!
Thanks for the comment! We have a couple of videos on superposition, 3 videos on moment-area. i don't believe we have a double integration video. Check them here:
Deflection by superposition:
th-cam.com/video/SZsrXsS-NSM/w-d-xo.html&list=PLv11OuQcvb_Dtbtcjmj__PE5MdC6Fi_qk&index=7
th-cam.com/video/SZsrXsS-NSM/w-d-xo.html
Moment-area method:
th-cam.com/video/jkwPzvWsqIY/w-d-xo.html
th-cam.com/video/2RQrSZQJTp4/w-d-xo.html
th-cam.com/video/YnWRn2jVGc8/w-d-xo.html
Hope they help! If you enjoy the videos, leaving a comment and a like is always appreciated :D
AF Math & Engineering omg thank you so much! 😁
Kristel Macatabog no problem, hope they help :D
AF Math & Engineering oh yes! Thank you so much 😃
we need more of the video
thank youuuu~
life saver less than a week before my final
Why isn't it tan delta A = opposite over adjacent?
thank you sir
Thank you very much❤. Just have one question that how did youu get the valve of delta(B) i tried various ways but couldn't get the same answer. 11:40
Multiply the numerator by (12^3) to go from ft^3 to in^3
Thanks
Awesome you are my hero
You're too kind! Thanks for the great compliment!
Why is the centroid distance that you take for one triangle 1/3 and for the other one 2/3?
We're taking it from a point, and the triangles are oriented in opposite directions, so one is going to be 2/3 away and 1 is going to be 1/3 away if we're taking moment about the same origin (A).
thank u sir
at 11;04 min, while finding delta BA, why issit multiply (20/3) instead of multiplying (40/3) since u take x bar from left.
KENJI LOH when finding delta ba we take the moment area about B between B and A, this x bar is 20 / 3.
When you took moments of the M/EI diagram about D, was that mandatory? Would taking mmoments about A be wrong?
Nope you'll get the same.answer.
@@AFMathandEngineering OK. Thanks a lot.
@@AFMathandEngineering I tried taking moments about A form M/EI diagram, i've got 513333/EI, which is a different asnwer. Did i calculated it wrong ?
Very nice explanation
Thanks!
Amazing
Thanks alot!
why the area of the moment diagram from B to A is not deltaBA + deltaB, while the area of the moment diagram D to A is deltaDA
Can we use this method if there is a distributed load?
Yup
how did u get the maximum moment which is 800/EI and 600/EI
Draw the bending moment diagram, divide by EI
HI, HOW DID YOU GET 800 AND 600 DEVIDED BY EI THERE
Sukhpreet Brar draw the bending moment diagram and divide by EI.
Thankyou thankyou so much. I have to help a student to cheat to get 50$ and this video helped me alot
What's the value of E and I??? I cannot read it.
not all heroes wear capes
Thanks boss!
Thanx...
sir i am not able to understand why delta B is 2.41in and not 0.2 in
What part specifically don't you understand? The entire video is finding delta B. Is there a step you got something different on?
Can someone who understood where the (800/EI) and the (600/EI) came from explain it to me?
Solve and draw the bending moment diagram and divide all of the terms by EI (doesn't change their values).
At 9:10 min, where did you get the 12^2?
Need to convert feet to inches or inches to feet, whichever you want. 12 inches in a foot.
@@AFMathandEngineering Thanks Sir!
@@AFMathandEngineering Thanks. Was confused with that too because my country uses SI system. Thank you again
Well said and explained sir. just a small comment please don't talk too fast cause I can't catch up what you are saying. Thanks, sir!
you can change the playback speed to 0.75x
wish my nincompoop teacher at university explained like this.
Gagandeep singh haha, thanks glad you enjoyed!
sir pls answer me. how did you get the 800 and 600 . thank you
It's mentioned in the video, also read some of the previous comments some people asked the same thing
Nice video!
Thanks!
Engr. how to find the maximum deflection in area method? Thank you 😇
Thanks for the comment, good question! You need to take advantage of the fact that at the point of the maximum deflection, the slope of the tangent is 0. I'll make my next video on this topic, stay tuned :D
AF Math & Engineering thank you on this video is very usefull for student like me.
Great man! We love to hear feedback from our viewers, and we're glad it helped. Are you a Civil Engineering student?
AF Math & Engineering yes sir.. I am currently studying and Philippines.
Great...are you enjoying your time so far? What year are you in? Please let us know if you hear of any particular problems you or your classmates have and we'd be happy to help :D
Love from Indian occupied Kashmir ❤️
I like your handwriting 😁
First time I've ever heard that compliment lol!
@@AFMathandEngineering but your explanation was great❤️
How did (8500/EI)x20-(53333/EI) become 2.43in???
Did you try converting the units and calculating it?
I answered the same question for another person, here's the response below.
The units of the original equation are kip-ft^3, so you should have 116,667 kp-ft^3 * (12)^3 / 1800 * 46000 depending on the units you want to use.
Is it 600/EI ? I got 400/EI.
600
Thank you very much sir😇
CAN SOMEBODY PLEASE EXPLAIN TO ME WHY 40FT IS THE ADJACENT AND WHY ISN'T IT NOT DELTA DA? 40 FT IS CLEARLY OPPOSITE OF THE LONGER SIDE!!!
I have no learning in this video
Are you sure you're not MKBHD?
800EI and 600EI ????????
As mentioned in the video, calculate the bending moment diagram, divide by EI
Did you find out how he got those numbers?????
It's mentioned multiple times in the comments and the video, just calculate the bending moment diagram and divide by ei
te amo
You dey rush
How did I get here? I barely know how to do fractions 😂
so what about over hanged cantilever beam with uniform load allover the beam??
how can i calculate the angle of the support beside the cantilever??
thank you 😇
good question! so because the load condition changes, the M/EI diagram will change. Then, you need to sketch the elastic curve, use the relationships we showed in this and the other two videos and you're good. You'll take the reference tangent as the one beside the cantilever, you know the deflection at the far support is 0, so that would be delta BA, assuming your supports are labelled AB from left to right. Then use the techniques we showed in these videos to solve directly for the rotation. Hope that helps :D
ok good
but if it was a double overhanging cantilevers, how will i deal with that??
In this method, you always just start by drawing the shear and bending moment diagrams. Once you have these, you can sketch the elastic curve and just continue with the same methods for any question. If you understand that you can always find the distance between the tangent and the support, you can use the methods outlined in these videos to solve it. The techniques for solving different methods though you'll have to practice problems in your book after gaining the understanding from either your professor or videos like ours. Good luck!
got it
thanks a lot 😍
no problem man, welcome to the channel :)
not seeing how you got 800 and 600
im getting 600 and 200
Not trying to be mean by saying this but if you can't solve the 800 600 here you really need to go back and review how to solve your bending moment diagrams, if you're at this point and can't solve them you'll be in trouble on your exam, this one is extremely straight forward.
Reaction at D (taken at A): (60(20)+40(30))/40 = Rd = 60 kip
Moment at point B (cut at b, right side of beam) = -40(10)+60(20) = 800. Divide by EI. Will let you solve the rest.
sexy
Ni yabba ardam ayinattu slow cheppu bey