Simplification of Forces and Moments | Mechanics Statics | Solved examples
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- čas přidán 7. 08. 2024
- Learn to find a resultant force and a single couple moment that is equivalent to all the other forces and moments. We go through a few examples step by step and talk about different methods to get to an answer.
🔹Fundamentals of moments: • Moment of a Force | Me...
🔹How to express forces in cartesian form and find position vectors: • Force Vectors Along a ...
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Intro (00:00)
Replace the loading system acting on the beam by an equivalent resultant force and couple moment at point O. (01:51)
Replace the force system by an equivalent resultant force (03:38)
Replace the loading on the frame by a single resultant force. (04:58)
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Book used: R. C. Hibbeler and K. B. Yap, Engineering Mechanics Statics.
Hoboken: Pearson, 2017.
Kudos to your great work. I managed to understand 4weeks of lecturer content in less than 2hours.
Glad it helped! Keep up the great work and best wishes with your studies!
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Thanks for all the efforts you are taking to make the videos. Great work . Keep it up ❤️
You're very welcome. ❤
excellent channel for Btech students thank you sir
Thank you very much!
This video helped me, thanks
Glad to hear it helped. Best of luck with your studies!
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You're very welcome! Best wishes with your studies.
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amazing
Thanks!
Hey there, in the first example, at 2:54, for the M1x, how does the x component force create a counterclockwise movement, and at 3:09, how does the y component create a clockwise movement?
If you think of the beam able to turn freely about point point O, and we apply force Fx, which way will it spin? It will spin counter-clockwise. If we now look at the y-component force and apply it, which way would the beam spin about point O? That would be clockwise. If you have a hard time seeing thing, cut out a piece of paper that looks like the beam, and then use a needle or a pin to pin it at point O. Then with your finger, apply the forces and see how it spins. Also, if you haven't seen this video, please take a look: czcams.com/video/QNNnPZ68STI/video.html I show how things spin in the first example.
@QuestionSolutions but doesn't the line of action intersect point O for the x component, so wouldn't the x component not create movement?
The part at 1:00 where you discussed that you can place the resultant force anyway on the pole or any rigid body; can it also work when solving a problem for a 3 Dimensional body as well?
It can be a bit harder to do since finding the exact point to replace all the forces in a 3 Dimensional body can be difficult. But yes, you can.
@@QuestionSolutions I think best method is to use the right hand rule at least.
@@darrylcarter3691 The right hand rule gives you the direction of the moment vector. 👍
Do you have a step by step solving guide for type of exercises? Would be handy, like moments and couples or just forces on axis. It is easier to approach questions? How do you do this, i struggle with starting but when i am going i keep going.
So everything is showed step by step but you have to watch the whole statics playlist from the beginning. Each video is about 10 mins long but covers everything step by step. It might be helpful to start with the video about moments or if you have the time, watch the whole playlist from the start. It will give you a really good foundation.
During 2:50, should the Fx component be ignored since it's parallel to the line of action of the rotation about point O? It's parallel so how will the body move?
There is a 0.2m height difference as indicated on the diagram if you look carefully. This small height difference will create a moment. :)
Goat Teacher
Thank you!
Are moments different if we were to take them at different points?
In the most simplest sense, a moment is just force times perpendicular distance. So if the distance is shorter, you'd get a smaller moment and vice versa.
Cool!!! But i didn't get how you know the direction of moments (clockwise or anti
So you can pick the direction you want to be positive. Please see: czcams.com/users/shortsP029mqnp4XY
if i made clockwise positive and counterclockwise positive should my moment be different?
Should side set one negative, shouldn’t matter which side, just state the direction next to ur ans depending on the outcome
No, it makes no difference whatsoever. Please see: czcams.com/users/shortsP029mqnp4XY
In the last example, isn't the resultant moment supposed to be negative since it is turning clockwise? if it's negative, x is -2.16 which is way below.
If you use negative for clockwise, you will have to take the equation shown at 5:58 to be also negative (we chose clockwise to be positive). You can use either, you will end up with the same answer as long as you follow through the same direction you choose for positive.
at 4:48 m3's j component needs to be -450j or am I making a mistake
No, the value shown is correct. Please see: czcams.com/video/F8IHrg3pc7g/video.html
If you want to verify your answers, use: onlinemschool.com/math/assistance/vector/multiply1/ and plug your two vectors in.
youre goated
Thank you very much!
Genuinely if anyone asks me what statics/dynamics books they should go for, I'd recommend Hibbeler. Just because this channel's playlists are based on these books. Genuinely professional level videos
Thank you very much. Generally speaking, while there is a heavy emphasis on Hibbeler books, the concepts are the same for any other book used. The same methods are used for solving the same types of problems. I do think, however, Hibbeler books are easier to follow and understand. @@DirkdeZwijger
Is thus concept related to the topic of couple transfer?
I am not too sure, can you give me an example of what you mean by a couple transfer? Are you referring to mesh gears?
at 6:34, can we put the force out of the body?
Yes, there is no other location. This is a theoretical question so that's the answer they are looking for.
Make more videos on this course
So far, I believe everything required for a 1st year statics course was covered. I will revisit in the future to do upper level topics :)
thanks man you are life saver
@@michaelokaysin4239 😃
@@QuestionSolutions hey I love your videos , they are very helpful . But have you covered topics like friction and dynamics . Thank you
@@arjunrai8126 yes, dynamics was covered, there is a playlist labeled dynamics A-Z
Would you call any of these "reduction to wrench" problems?
I haven't really heard that term used, but from the looks of it, yes.
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2:50 how the M1x make a moment it's direction wont make a spin
Notice that there is a perpendicular distance of 0.2m, so yes, it will cause a moment. If that was 0, then no, but since there is that gap, it will lead to a moment being created.
@@QuestionSolutions thanks
Wouldn't the 200 N still have influenced the moment by enforcing the starting position and making it harder to start moment? Now when you put 20 kgs on a pole and it doesnt matter you could say that putting 20 tons on the pole doesnt matter either and doesn't affect the moment force, when in reality obviously it would? so why is this not taken into consideration? Is this because it wouldnt fit in the equation and propably has its own formula/rules and therefore, maybe is because this would be way to difficult and advanced for first year? Or i am wrong
Please give a timestamp so I know where you're referring to, that way I can answer you better. Thanks!
@@QuestionSolutions 5:00
@@tristandescamps8419 Okay, so you're actually thinking of this as a moving object. There is no "hard to start moment" because the item is stationary. It is a constant force that's applied. What you're actually thinking of is dynamics, not statics. Statics only covers objects that are in equilibrium, in other words, objects that don't move. So the pole at 5:00 is not moving, the 200N force was applied indefinitely, and we are just looking at a snapshot of things to see what moments or forces are effecting it. If you want to understand how a force applied for a certain time, and how a variable force would effect things, etc, you have to look at dynamics. Dynamics is usually taught after statics, which is still a first year course at most universities. So first semester would be statics, and dynamics would be second semester. Another thing to understand is that in statics, the moments caused does NOT make the object move in anyway. A counter moment is instantly created to keep the object in equilibrium. Say you have a pole buried in the ground. When you push against it, it doesn't move because the instant you push, a counter force is created, keeping the object still. When it starts to move, at a certain force, then we switch to dynamics. So in simple terms, you are one class ahead in your thinking. For now, keep in mind that every object you see in your statics class is not moving, every force added together must equal 0 for the object to be in equilibrium.
@@QuestionSolutions So just permanent third law of newton basically
@@QuestionSolutions I am having strength of materials also its weird