In this class, we shall learn about drawing shear force diagram on Google Sheet sheet yet on the sketch, shear force diagram, which is are drawn on AutoCAD and pasted over here as reference, we are continuing the same beam, what we what we use for bending moment. Last class we use bending moment. This is the beam, same beam I'm considering last year for before I briefly explained what is your force, which you are renewable it. Shear force is the force acting perpendicular to the neutral axis whereas the bending force you normally x axis whereas here force that perpendicular axes and these shear forces will generate shear stresses, the stresses, so many kg per centimeter square specified with pointers pointers can various point generally stresses, shears fist average uses is the area of the section and the shear force acting at that point, you can have any stress, but we can also do shear stress also varies from top to neutral axis or bottom to neutral axis depending upon the section and position of the neutral axis and long acting.

This we can always find the shear stress by considering the small element of strip and acting shear force at that small area and integrating portion I'm not going to deal here, but I deal only with your cause diagram and how to draw a shear force. Now, let us come to the beam question we have already been and we have our own acting or acting this we have already calculated as a year into three and these are the variables if you really the load automatically all the values should really know this values have taken from here and dandy. shareport Yeah, no, she has post just exactly at this point. Then BBC equilibrium, because these three forces and these two together keep the beam in equilibrium. These are all simply supported beam This is called a super simple Get auto not to simply support the game is not does not support anything else, but it is simply supported you know I bought two different types of support roller supporting images in pre support, fixed wooden beams, etc all human history property of yours if you are see r1 acting here.

So, the first r1 is balanced by all the causes for w w one, w w two and w w one w two r two we have to take into consideration that is w w two w two w minus two Consider this forces together act just after that is the distance between r1 and just the dominant force infinitesimally small just say delta x, which tends to zero that that is at point r1 there are two forces acting one is vertically up, another is vertically down and the magnitude is same as all the T's or two minus w two minus w one, w equals one, but it could be downward. So, and that is how the game is in equilibrium, one upper post number for the Suppose, we consider the shear force between these two, you know how to calculate the shear force I assume that you know, but anyway I will once again explain the shear force at any section for our reference r one and r two Long research at any point is the force r1 acting on it upward.

That is just the force on him because between r1 and W more than force, but this force is acting at any point r1 is imposed. But I just think that we also have these forces that and so she has just will be there. That's why I have shown to you just just into that, we'll we'll agree small distance, you put force to that, and it creates a shear stress, V be subject to shear at all defined by being the strength is sufficient. So it will not be here. If we sang that yesterday. She has just increased the strength of the beam than the beam you get r1 just you get r1 and then you come to find w just to be foldable you felt these small distant future shear forces are One on just after w the shear forces r1 minus w anywhere between w one W and W one it is r1 minus W and just after w one is r1 minus w minus w one and then just after w r or minus w minus, if it is just after w two, it is r1 minus w minus.

So, it becomes negative because the sum of these courses to be more than this acting downwards, it becomes negative. Okay, you can calculate your vote from our two side also the same way. Any point between W and R to consider upward shear force and as you can work to left our two minutes w two and then r two minus w two minus w one and then our two miles or two miles away I'm displaying you could just see here what I have done consider on this 2080 ti which we have calculated you should see, we calculated last because I explained how we have calculated an order are two, same way, which isn't cheeky okay. No sure r1 as I explained, you just put on one show from here drawn like I will explain you I once again redraw and then this force remains the same till we get into it because you're up to here that hasty, you remain the same.

So, this is john horizontal. So what we have to do zero through 783 unknowns Again we have to mark the 2080 because you of course at this point also in 2000 unity just after the point of change, okay, then I've defined three at the same distance 3.3 the shear force will reduce by an amount equal to w. So, it means 2083 minus thousand that is what this shoot was three, c 11 and CTL controller, c 11 as with Unity then C two is this, this is mine, okay. So, I've just been drastically reduces, right? And this is a point under the age and now it remains the same within these two points. So we have to maintain up to four it remains Just tougher for you to reduce us to 85 because we have to subtract our will from our own www key. So you can subtract becomes at this attack then then shear force will change.

At this point vector subtract w two also. So by subtracting who you are up to here we subtracted w one that is between these two, up to four. Okay, after four, eight, you get a GT, gt GT, just after w two just start with that introduce us because that's just like the ocean remains the same, I just find the comma here and awkward also, it is auto reaction, which is minus one to one. This is often shown through arrows indicate that versus in the I keep the body equal. Now, I will gladly to share food once again my See here, like bending moment we are taken we won't do one, but here because it is horizontal, we have to contract three offers 2083 So, zero to 2080 because it also does 2083 but at another point is also reduced to 2080 and you have to continue similarly 4000 83,000 83,080 and for also thousand ATG runs horizontally from 2018 theaters for all of eternity, that's where you're at right twice.

Do you another how we have to write that item three to open it up at four it is alternatively at four It is also at because Rachael just of the form just opposite. We have to offer this better reducing the value w value should be reviewed, that we should subtract w one should be subtracted. So it becomes and it remains at W two just before W. Okay. And then it reduces to hear it reduces to minus two w two f two minus it produces negative sign. So, we have to sign you have to follow whatever you follow from the same sign. Just keep on reducing minus b word also remains the same because I'm cool with this This is all weekend.

This is exactly what to do in short. And then once again, there's no uniform. I know we have to draw the diagram, which are the wires taken horizontally distance zero to one and vertically here false zero to minus 1916. So you select these things as that is this will be V tacky, US Columbia I want to select the chart. This is a diagram to go from the very beginning Captain nice to see turkey because these two separate me chose to go to comment on this, you can also draw gridlines Can you win us the defense would be helpful at any particular point. So you want to find out this year or 2.1 In this case it is a design flaw you can use.

Whereas, in case of bending moment it will be sloping. Then we need to have this point you can easily cause shear forces also can be stroking right. I will tell you when it becomes a sloping line. This is how you can run here and there you can fix the level as at the beginning I will once again give you the solution Because you want to drink coffee again tea Cheers. You want to write dictators suppose what you I explained to the gym. You can This is no When did you go whenever the road is uniform after we explain you okay.

This is of course I have to deal with you no issue so When the load is uniform, then at any point the bending moment will be C or one minus two take any section between that or one minus uniform load is w w x Okay, we are not taking remembering the load at this point distances yet r1 minus w x r1 minus w e x that means r1 minus y that means it's a great straight line equation which is having a stroke. So, W why the stroke and you get a stroke income after you're all over it is the uniform load is that fraudulent which is sloping throughout the length and slowly come down. Once the bending moment at this point in the company to come slowly all we can Let us deal with the other aspects. Bending moment that is, we can deal when bending moment road is uniform.

I will deal with this. Just know I briefly explained it. You can follow things on yourself because you already know about the Venn diagram and just explain briefly hear me This is once again taken from the loan on one this is like the minus V bottom row is the maximum length that can be distance. When the uniform you have to consider a few sections and just point to a few section because the vegetable diagram is not a straight line but it is a curve. So hear that continue to put I'm going from r1 from r1 continue at a distance two meters per minute and the bending moment will be this the bending moment that is r1. Now we are dealing with the bending moment not the shear force earlier explained to hear what now we are dealing with vending machines continue the previous Six to win we have run the bending moment for the concentration loss.

And now we are running a bending moment was a mixture of concentrated load and uniform uniform load means spread out throughout the length of the beam and the load will be something like w kg per meter per centimeter whatever. Normally example farm road is the beam itself, the rate of the beam itself is distributed for the whole length and so, is it uniform. So, here I consider 222 we have random omega to calculate VAT that is what is you have already calculated a reaction or when a doctor is talking you know how to calculate reactions that I have learned and this is the one we won V eight minus V four v one v one. This is Thank you. So, much bending moment you to this point trying to find whereas, uniform road it will vary from C to M uniform road is up to two meters not a man who meters and approach is uniform and it is 50 kg per meter.

So, the total load will be 50 to 200 okay that is what people want we want to be 400 and this is the road that role will tax without a dissenter. That is useful From zero to two meters and the center will be one meter, the center gravity of the road is at one meter. So, it is half of the distance to a producer. So, I consider it to be 12 assembly in 2.5. So, that is bending moment we have to subtract, because this is sagging This causes dragging women and this work uniform load argument. So, we have minus t similarly, next we consider the point four at the point four v eight into tactic that is fine minus beautiful to beat it into beats acting to half that is for W four that is 54 multiplied by half of four that is two, this is this one, that entire thing should be surprised like the tactics like the various point we have to consider W up to you I'm you can consider a two year let us see oh we have to continue and later on also we can keep on increasing like that one again you can find out if you want us online distance use what I call what happens minus and just after five qualities w will be added v three w two one v minus this minus V six this distance.

Here suppose you consider w w or distance minus A from here all distances or p minus u that is your choice We have to count the number of points because you want to get a card. You get like this number of points. And then as you move to select from here to here, and we can cut, this is like I have done here. I would like to choose Yeah, be loving to be safe. But only thing is we are connected. This is cool.

This is funny. wrong things in the car. To watch you have to be loving Then concrete so this is going to be residential individually and you can doggy and Josh Stein If you want values will you consider calculating money are protected. Another thing I want to explain here is the load the bending moment automatically get changed. Thank you see here Include a cheat sheet I have here okay suppose I suppose we get okay then it becomes a smooth curve because you will know and it will be just as terrible. That is a turning point r1 the bending moment we can take our Y equals r minus w x that is minus w x squared that equation You and others also did the equation parabola, but with some destruction supposedly zero is perfect but you can rearrange also include teaching you taxis suppose suppose we change the value note is zero you You wouldn't be blanked off so you can change your future drawn only up to 13 then you have to draw competence or further consideration 50 meters, where to draw a few more values Then you can see that as you can click and put it here, you six months of view and then you have to be kidding me to design me to be six or something like that for one for longer that is 40 meters our country Do you see having to do values this is all fine and dandy because it takes water and calibrated it like in a similar fashion you have to go I suppose vintage lenses same way you have to calculate and if you want to change suppose you see you like come to uniform whenever you change the beam then choose that these values also get changed.

If you increase you have to add the values if you reduce you have to delete the value whatever values you have, suppose 30 will tell you the length is 30 then you have to delete up to 30 Won't you have to consider suppose I entered 30 like this, then you will not get a correct figure. So, you have to delete this value And this is Benjamin Graham and also uniform, less concentrated. You can have two three rows here, you can run this. With this I will end this chapter and review next decryption in other parts