In this class, we shall learn about deflection of the beam under enroll and directed topic. This is lesson 16. Now I will open a Google Sheet, which already opened, already drawn some sketches. And then some conclusions are too narrow to make it easier posture to explain to all the points say go click on the render it takes a lot of time, and there'll be some corrections to a problem for you and straightforward explanation. I've already pre drawn everything here. This is a beam showing your load w acting and r one and r two v the distance of the law from r1 and To draw the deflection gender formula, normally what we do is typically you calculate and swimming as an analytical method, method of distribution.

So, many things are there, where we can click analytical and if you want to draw the curve and graphically you do it then we have to follow this method using the formula and putting the values here and joining on us. Now, the selection We have arrived to Formula One deflection from r1 to W, another deflection from or to w to the parliament On Wi Fi again to be etched into got squared minus x squared minus b squared, this is valid for the portion or one to dominate. And similarly another formula or to return that will buy into a V squared. This is barely bothering you. But when we draw a curve, we'll draw a smooth come from here to like I will explain to you know here we are broken the formula, each column line two computers. That is one nice Wi Fi yell, W by value and W by a W by a value and V x into L square is another value here and somebody yell at us for a minute.

You know, just let us know about what eg inch monitors we know when a piece of art is so good to see ya didn't bring equal reaction then the beam evolved I bought the engine change the quality strike either it will be compressed when you roll up the tension rolling over well this is really subjective tension and compression and when you say comprehend independent company load, risk assess assess means both divided by your your perception your perception may be any here but it may be in such a tangle assumption anything the force applied on that section the thread of deception wherever the area of deception. So, we normally draw co directing various routes the length increasing length and we drive life cycling Of course, at that point of broad term can come in depending upon the process. And afterwards it becomes a club that lands on ingenuity engineering is a testing lab in other places.

And we when we want to design a section of the dream or the new machinery, you are stuck just the numbers of them machine, it's in the elastic what's up they're not exceed beyond the stresses, they will not exceed the minimum quantity and besides that, depending upon the load cycle of road, alternating load, whatever it will be on duty conditions depending upon where you're at or adopted. Suppose we have a membership member can take a load of stress to that load is up to the client. And after that, if the corresponding was increase the load increase, the babies have the deformation to deviate from the straight line curve that is the limiting point strike cranker. So, if you consider that is the case within that remit, we have to go To the plaza buying practices whatever will be depending on depending upon the working condition. Now, with this, we will explain a brief description I have given you ease that elastic women that is stressful strain that is the stress means, you force a unit area divided by further force per unit area that stress what is the extension from the original one and divide them you will get a value that since it follows a straight line car, the slope of the curve is the elastic limit divided by I mean sorry the stress divided by strain is complicated, that is called as elastic modulus of loss DNS monitors, whatever you call, you know about it, I don't want to go more detail, but this one for each material very depending on the structure of the material was different we have different value for aluminum will be of some other value like that it could be different, but within this tight, tight range the elastic the elastic rhythmically, Yang's model is what we call monitor philosophy constant that is this one is a value for dividing.

This is a value and this is nominal possibilities 200 to 2010 kg per centimeter square. means, suppose you have a loader so much so many cages so many kg the deflection of the bar is one centimeter Suppose I pay a lot of so much deflections rebar is one centimeter only stress. Suppose, we take a consider a return of a bar of one centimeter. and if we upgrade the city load 200 new to 1000, you took in 10 kgs went up to school road is upright on either end pulled on either end, when the bar is subject to exchange enough one centimeter I will repeat if we apply is just a row per unit area on this the one left in my one on one centimeter squared, but you grew up play residuals more than the model extreme but that doesn't mean you wanted to So, this is conflict of blue stripe line limit which I have and this is the value I have calculated from wV This is a very small one, but it is very important.

Bye In calculations, so, I use you know that i mean the moment of inertia of the section, when an issue section you zoom into this section I know we have taken roads for a distance of 600 or 6000, we are putting everything in centimeters here and we are five centimeters, six meters by meters by closing kg by 10, we can see 1111 that is some of these. If you change any one of them, we talked about you know from that we calculate the reaction taking the moment and just find these two notes, you get under variable length you get the reaction to r1 and similarly, you take the moment at this point you get You know, we'll come over here the beam is subjected subjected to enroll in a VB subject to load defects and different points and devalued if you want to be the same.

So, and depending upon the door here are the bending moment here, moment at this point is listed at this point it is more defined is much more like that non bending moment depends on the bending this new deflection is a core we have to take the deflection at various points, get actual reflection and plot those points. So, in order to do that, what we have done is consider Six v 630 length is broken into a number of pieces 1234567 pieces at seven presses equal intervals, calculated values and deflection 900 minutes is a fraction 15% of basics. We did 930 by 30% 40% 45% 40% 3519. So we have calculate these values, what are these values? These values are the X or this portion, which is Vf squared minus x minus v squared that is a four point upon the x axis here. We have put it this way.

I never spent you Why have you? Because if you use the dollar thing, I really wish you'd be careful Same cell, same supplier, I don't put a sample because I put some in some languages. This is V seven, copy this one like just increases by a very, very big change. royally we can, but you want the same value everywhere. One calculation should be multiplied we should be selling all over V sub n is the length only just contain v sub n is the length in the formula v being tested multiple, all the same, that what we do is, we put a sign here what is going to happen? What do you think?

P value will result in the taken value from reselling takes one year your V seven ba ba like that, but we don't want like that. So that is the reason why. So that's why he had v seven, we want it to be the same it will be. Similarly, the VAT the length that is also we have the VAT VAT VAT this value keep on changing at the CX we add this extra We have gone today as we thought you'd be reacting once again that you get straight to it without any mistakes once again leg then the next set of 1910 v 18 v 18 year it can be 19 that's when you want that value because it's very similar here also and then also calculating the value we get into n squared minus a squared minus b squared z. Like that every will for variable values of it, you know we will come next year are the same, these values will be different at 900 mm from here it is this value And we can increase our w 6000.

Not more than that because the flush income for this portion will differential we retain up to maximum and now we come to calculate. So 000 900 What's the difference 900 what we are W by square. This is a value we actually do in school. So this value we have to multiply 16 years small. We have done that. What we have done is taken down a 14 This is the value see it, this is a man Mike moon here, same dollar 40 we take this Then you have to see 19 like that 31 to 20 deflection.

Similarly, next job we have to carry the same for this portion. here these are the same video here. We have to take this is a convenient six This is Yay, Megan VC. She's here. She's here. We have taken We like that we cannot predict similarly we have to consider v v, v, v here.

That section of the video. Let's walk through the V is equal to b. v he's fine See, these values as I explained to you net is a Xerox wanting to be safer on all these things go quick in the length of the V. Ds to get this is more, but just for reference you're done and useless but he doesn't think like that you should be less. You will be anything. You may be anything maybe more than blue or we may be more than you, but some of the value will be one And we carry the value of create What don't we do that and then from that we have calculated once again 11,000 point, reflections. We are coming from this side z. This distant 10,000 just want to bring you on notice what you see here.

We have reflection. I be someone that is from the earlier recon 72.15 like that these are two two web sites. I don't these values v g v 2.15. I will tell you how we zero deflection point 2.00. So but it's length these 11,000 from here from r1 because they're trying to come from r1 know when mukha here is reduced By 750 minus V six into prime v v H is a constant length that is focal length that I have deducted is 750. So, that is the length we record from this portion, its length is this ranked 750 win with blank blank 11 centimeters minus 750 that is what we have here is like that we don't come from the Intel rank up to fighters.

From here it is, we are reversed we are written in a reverse order. So, we can consider reduce your thousand 500 we that means you are counting from this point So, deflection 1500 is the same as deflection at 9200 from r1 reflection 1000 point I repeat on deflection 750 that is from R to 750 centimeter you same as deflection, I can pose 100 mm from this point, that is what you have taken and similarly, zero and zero what is the deflection 11 11,000 we have continued that is a 0.0 point pointed refugees at 11,000 from this year, written, arranged in proper way So, that we can draw on it. It is from here we are continuing from r1 or distance will be common when calculating the values we calculated from This this this one year only 750 thousand 500 the values of these values whereas calculating the actual reflection you know arranging these values so that there will be a continuation This is why know often we have you have some identity in sequential order to drive this bus from here to 6000 bucks and then then Python like the Russian here we lesson learned there is no problem.

Miko home 600 like that we have arranged So, here, this portion we want to do w This is apropos both of you can undo that because 112 point two one minutes it becomes this value which we have already chosen and continuity the same. So we not consider that when you make this one because it doesn't just come here to 5000 is the same as 6000 was the length as you see this is a certain disease mood justice abbreviation we will get the values you can also make this six And this also we can make Python series or we can make things. Now we have this. So now you have a spike to be stolen, we have drawn so it becomes partisan, because this portion is important enough to fight on 400 we are done because values already there so that we hear from hearing unicorn. Wait on line you did so far here we are drawn up to 36,000 6500 it wasn't on value from your deflection represented by the current fights on recording another video After drying all these things by double digit by maybe 40.

So, that is counting from this chain or when you come from r1 reflection at this point is zero 10,000 100 that is minus this and thousand minus 933 72.1 point the same as the deflection at 10,000 we have detected that similarly here is this vendor today we'd like to take 30 minutes turns out it's it seems that it was in a condition that we saw in 2.3. So like that we have done it and we have come up to this way. From here we have gone into production Because you want to try come from one side, we have taken it deducted from the length so that we get the deflection values from our good life calculating the values you have to consider as we come here, on this point we all have taken me like this and only when calculating the deflection we have to consider from this change so, that's why I have written the reflection values from here on these values and now we've come to the this is what was taught in this deflection range 07 50,500 5000 is V 3232 When we calculated from r1 to W you come across one value now from when you go from 48 that is from here we have to reverse it no and we get 5600 do we have to go in this way?

This Um Don't worry. Like doesn't take too long deflection taken 6501 66,400 like that it goes on up to. Now we are Yeah, we are trying to come. I have already drawn it here, but I will draw it once again. Mosca we want you to draw from VPP 6262 this is all weekend Nick van you They're tossing wonder. Yeah.

What's your what's your v 50 v v So we can come she's not supposed to change values automatically change c She could be more genius when you do so. Actually. Depending upon the sell, sell how much you can find on each one to reduce the rollouts. Suppose we're changing Like you said you can change more number of times you take this truck and also sometimes you can be good accuracy. You can calculate your approximate depiction you can see who you are and you must do this segment calculate value as you go around oh six Easier that's going to show strength in the written portion of the call, which is our news content that you know that you're used to on particular Union Pacific Africa you get these values and then you take reflection this portion for my reflection for our own two W's This is a farm is a variable and you have to collect various points are the length w equal to two.

Then we have calculated the values only these values we can make our calculation less cumbersome and we can use to get here on different legs are different variables. Yes Now we calculate deflection. deflection is you have to just multiply. First one is zero anyway, but this shows zero because that gives you regress accuracy let's increase number zero automatically be 14 to see it reporting is this value and this is once again once again you can clip from the other side on this side. This was to calculate the value of 00. And then we converted.

Yes we have considered, we saw NBA length from one side or one side only because we ended up To take these values, your returns are going the opposite direction that will not be proper. So, we want that portion of the curve we can measure depression getting but get a uniform one. We have continuously stitches here, but what we have to do is from yellow to red v vs variable v is detected, we get up to 2200 or 2000 is already there. Yeah minus some fraction of 20 years already caught up with it, because of because developer create because there will be some errors in calculation. So do that you will be different right? So we got 2000.

And then you properly arranging arranging the property First you arrange with Russian as a singer you arrange and here next one you have to reverse the 3123 you are in the reverse order, so that we want to go in reverse order this since already we have taken versa, then you can draw the depression variable you can change variations, the rank W, you automatically do it, she's all weekend and discuss in the next class, I'm going to explain you some of the calculus in Portland just used basic things, particularly electrical conjugate Game Over in the moment But because actually I don't drive