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Dredging Processes 3 Cutting introduction

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The video explores fundamental concepts in soil mechanics essential for dredging operations, beginning with Mohr's circle and the distinction between active and passive earth pressure states. In an active state, where soil moves away from a boundary like a retaining wall, lateral pressure is minimized because vertical stress acts as the maximum principal stress while horizontal stress drops to its minimum value; conversely, in a passive state caused by soil moving toward a structure such as during silo bridge formation or glacial deposit dredging, lateral resistance increases significantly. This shift alters the Mohr's circle representation and impacts operational efficiency, particularly when residual loads from former ice sheets create high pressures that increase dredge resistance. The discussion also clarifies practical considerations for cohesive soils like clays, noting that their stress circles intersect a shear strength envelope defined by cohesion rather than passing through the origin, while addressing common confusion between geotechnical friction angles and mechanical coefficients of friction used in pipeline transport research. The analysis then transitions to the specific mechanical behavior of clay during cutting, highlighting how material properties dictate operational continuity versus interruption. Dry, hard clays with high cohesion tend to fail discontinuously; stress concentrations generate primary cracks followed by secondary fractures at ninety-degree angles due to shear failure, which blocks flow and necessitates frequent machine stoppages for cleaning. In contrast, wetter or less cohesive materials exhibit a preferred "flow type" behavior where the load compacts without fracturing, allowing for continuous operation similar to a turning machine rather than an interrupted cutting process. This distinction is critical because adhesion strength dominates in dry clay conditions while cohesion may be absent in saturated spots, leading to different force dynamics at high chain velocities compared to normal operating speeds. To optimize these processes, the video details the complex equilibrium equations governing horizontal and vertical forces on the blade tip, along with moments around the edge that account for hydrostatic pressure equivalent to seabed depth, internal friction angles for rock-like materials, and external friction angles. These factors are combined to determine optimal cutting angles ($\beta$) designed to minimize energy consumption and chain power requirements. However, because these systems involve non-linear interactions between variables such as track pressures and material cohesion, deriving analytical solutions often requires computer assistance rather than direct calculation. Ultimately, while theoretical derivatives can find maximum or minimum forces, engineers frequently rely on empirical data and best-fit lines derived from multiple tests to account for experimental variability in sample preparation and particle size when applying these principles to real-world dredging scenarios.
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[Music] so today we will person is 3 airsal look at the moor circle and active and passive as much as you pay the that we will start with the new toppix drivers garden will wiegers the beautiful circle the beautiful circle is there let's one with the medical toe oh ow of showing tanks concerning stresses and and the relations between the front stress is and you propublica this in the first here wit solid mechanics people who dit so mechanics t-shirt head it very often but if you look at chain process is what we do in this course you we loft and seymour circles would you heft to understand what they do what you can push then we will not the treaty or circle kind who those services wheels do it to the two dimensional shirts not too complicated well in view concealer cylinder of sorry and ontap you ever vertical stress and and horizontal i you have horizontal stress and in fact the places where you left out to stress is normal stress is you don't hef zeer stresses and that's one of the tanks week already dead stress is a ons so dead directions principal stress is so the stress the the the service where you only have normal stress is Colton principal stress that's important because you will hear that word more of in the course anyway read it to principal stress is wit to their actions in this case vertical and horizontal dow cinder ninety de gryse with each other and laser you will also see why that you youtube remember'd sos ninety degryse offers lienden now in in many leds a simple applications you concerts the vertical stressful is is the prinsenbos tres picos is the gravity of this planet is just the know whether the solo wit scab vertical stress this is not always necessary in shock keten wit of the happens that the direxions of doos principal stressen sai nath horizontal and vertical the this deep and sum for x number the width only this channel so deep and yet the scary to the angel or internal fiction so the fact that you work with vertical and horizontal is is my libi kas normal imf gravity which forms one of the principal stress is the rosse makes it easy pico's is of gravity is one of the principal stresses that means the vertical stress is just the know whether so as if you draw certain plain a shirt and service in the solo and you need a month or so because upper white and you now know if that the mount then they give you the vertical stress yes so the vertical stress is or to here looks to calculate now if i want to know what earth stress is om and the plane and the service and by a single alpha how lifts your shower om calculations well so here who lifts vertical horizontal and this is the plain and by a single half well some eggs that shows in the ginge introduction and course if you want to solve this you left to consider that an equilibrium of stress is therefore not exist you can never take the equilibrium of stress is you can only take the equilibrium of forces so jungsheft' to transform do stress is into force and in this case that's not to complete so week and make triangle with the vertical stress and the horizontal stress and under the dogs square and by a single alpha we have sigma and the rope for distal by the way you do not yet no in which direction the language is the cuby in the direction of the picture it could also be in the on there is direction bed there does not matter picos has you do it in the on possession direction new get mine is are in front of the language and efficient the result will still be correct outside wanting in general you should have a good definition of becomes is positive ex is what is negative ex is quite what is positive what is negative and in soho normal compression is positive and unless it is negative although in mechanical engineering it's the other way around and mechanical engineering and steal you you and unless there is positive and compression is negative you will have to remember that okay so even look at this picture you see all those for stress is with leica at you cannot take the equilibrium of stress is you have the equilibrium of forces well how do you go from stress is to force is very simple you multiplied and stress with the service we the cross section or service did it applies on now in this case you could see ya know who don't know doos the values ​​for those services bed juno the region of also service is so even who issue that this plane so the square and through the ankle alpha brains service of one you just a shoe and that means and length of one and and perpendicular around the picture you also view a unit of seems so Desselse roman the and the the sigma and the language work under service of one one square meter or whatever you want a cold that means this one the horizontal stress works on service of its alpha and the vertical stress works on and service of window frame alpha and so the region offers who industry service is is warm its alpha and cosign half that means and and put them perpendicular to the blackboard how you joue seems of one so that means wino the region offers who industry services and you will see that if you would make do services bigger multi-plier with such a vector then that fact or will be you something force and that mean slater in the equations you can the white by the effector and you want notion that vector and humor so whether you just use the regions you use some actual service the result is so are yes I so a make a difference okay well between or this and and is an exercise and for some of you already sold is what so didn't is an exercise that you also hef to do one you want to solve problems of chain process is to who in that case you gut more angle mustache parameters so is something a little bit more complicated with mainly the course us more terms and your equations yes with the principal is so his so what do you goal first who draw vertical I want librium and in the vertical equilibrium you look at the vertical stress well the vertical stress times chose its alpha give you the force so here so I magic chose its alpha is the vertical force then on the other side how you have the sigma times cosign half a witch's is the vertical component and that cars that service is warm you think has to multiplayer isn't there things like those costs service was just like that who did I marco his alpha and you can also see that in this case the language works in the direction by the his or half so des your vertical equilibrium for the horizontal equilibrium networks so a your take the sigma times are already fine in this case so his alpha is picos or the service to the service sixth value or his half so your multi bluish his alpha so this is the horizon to fors externally and then you have component of itself but his alpha recognizes this yes on there sits with the garden works in the same direction is the sigma is something like that called getzen minors are a yukata cosign over so this way you left to equilibrium equations and that means you can to equations wit toe and nomikos the sigma and the language earth toe and nose and that means you cant so cool yeah just the number or an emergency transmitter number of reasons is so a you can we ourselves its first here with the with x basic okay what do you do do because so wit led c first who want to heaven i college for the sigma if you want to heaven equations for the sigma it means you intense get rit of the language you then came the language in your grace and anymore well holds the deal we that if you multipla the top equation by Koos his alpha and the bones mcqueen by his alpha den in beautique beings joget search terms indicate it here plus his and to this have meines his sofa add them up get rit of the garden yeah so that's the way to doing what it means i get here get sick magic cosign square sigma cosign squirt in the sec and teak pointed to gets i make a his square tens I maher zain square eva er it up i have so I only four cosign squirt plus i but aids sign squirt equals sigma that's the equation wie get now if you continue we the alpha in the equation you never find a solution so for the signs quarter and the cosign scores yoe heft uw substitute santing and that's deze i with the with x this for the cosign squared you can write oneplus kozijn toe alpha die van dichtbij toe and for the signs quarter kan white one meines cosign toe alpha the guided bike to end it that just basic met de met x je chips dit you that in this i college wie weit a little bit jaar reorder wel op dit en dan juliet de equation at the bottom en in de equation at the bottom you see you left to take you have sigma 4 plus i but something die we dit bite to which basically is the average of de to stress is something so the average notting els en hier jungsheft' de sigma 4 meines i but i die waar dit bij wat is the The difference between the two stress is the toe, the principal stress is the one where this applies to it, and let's see that this difference divided by two is the radiance of the Moor circle. Here you see the frame or toe, alpha and dessel, so typical of the Moor circle. This is in working with more circles in the Moor circle, all the English Arie percent, this at two times the real single Noel, look at this and we see box circles. Okay, so this is the solution for the sigma, the hat, because the solution for the language... well, if you want to laugh the ropes fiercely, get wet of the sigma, how to get wit of the sigma. Well, first of all, you want to terms that article bed wit on there sits his that means the top equation which was the vertical equilibrium who wants to multiply wit his alpha lord and the bottom week beings horizon thery public rain we will melt apply wit meines chose his alpha yours with the meines his you can if there ca10 too happy with the plus be and then i take the difference of the to the questions but if you multiply wit meines his you can just and rap the toe i because of it is easier to see which turns article with white negative are that way you learn cd I want to be the second negative so now is where it on the to the claesen's so I my house I live and ipad is equation for the language well in general if you find any question wit his alpha chose his alpha or his exco his ex you know that basically it means a f the sign of toe ex that where this to and that will so busy with the with is so this week was so his or toe alpha divided by two and eva substitute that then i can hear ai find the difference between the two principles remnants that where this to and he fine so his or toe alpha and that means i go to system where every angle is two times the single well sir how you heft those to the queen's so I but I being and the language I being and becomes he this we so i migration and moved is turn to the left hand side of the equation and then the reason is that by doing that icann doen operation dit lips mi the final result with basically doos her still so his to the queen's what now what he does is he square beauty creatures yeah sorry take the square of boutique creatures and add them up just like that he does it then this is the square of this term oh yeah this is the this is the square of closer this is the square of this to hear you see the square of the thai cuisine and invite them up then you will see dead cosyns quarter plus size quarter is long so ipad white of box terms and hear my god is so colt circle equation' why is it the circle I was a well basically picos in more circus in in general use the rope itself but diagrams how the sigma is the horizon to lexus and the language is the vertical axis and that means here indicates the horizon to become the meines the center of a circle how you that now it becomes this looks like we this is the center of a circle and this is the vertical component so apparently in vertical direction out do that lift and that shift in horizontal direction have shift with in vertical direction a has nat and the white and site of the equation is the radiance square and so you give lookup the standard circle iguazu you will see this is almost exactly a circle they got okay what so it look like well toe tail white who has the horizon to lexus which is the sigma ex is who has the vertical axis which is the language axis how you have the tool principal stress is I magic in this point and sikma age in that point and the yes like a cd roms under my tits grizzly kodiak principal stress is with since in the moor circle who multipla english bike to in the moor circle er transmitter teti degrees offers who in the tool principal stresses and that means and he our z principal stress is there under service where you don't hef shear stress is so dow is the inters the toe intersection points with the horizon to lexus nephew through circle you have to intersection points that the toe principal stresses and then you only have one 100 eten the breeze between them with the judo in onedirection audio the direction is so is then 100 eten degryse so you can see the toe alpha lord that means the points I make come language is here will you for x number if that engel alpha would be turkey degrees am in the moor circle here he must Seasick Steve Grace live it would be forty-five degrees the in the beautiful circle would be a the top of the sir public as it would be at ninety iglesias shirt so you point out at home the ankle in reality the sun Timor you can see I how you must him cent and he wants to show pictures of that leather case good he sent them you don't have what the cohesion of of shear stress and that means your way start in the origin zoey start with cent like matériaux it means you start in the orgy then you can your online of the origin that is exactly the engines the the circle so who stands here in the origin and the lines touches the circle and then you will find a certain angle it is single high-end is angle recode single or internal fraction of the matter but just with the medically geometric lead is single lord wants to solve who exactly lifar and des he snelting toe do it like mechanics if you make such a graph so with the medically doos english article so hear you have fun hear you ever jozo have the negative ex is but very oft and how jan look at the positive tale balance the negative axel selexys pico sophie lift cfs in one direction the deer beer stress in doper sits direction on another place otherwise it's not equilibrium one important thing you have any real if you would not have an equilibrium of forces [ __ ] is possible that means you have some force left and that force will of jury will in excel there asians yes it is so is there is now I want libië meuris force left you will have next resy so review on surf of experiment that the matter is wet xxlerator yes that you have next eddy still process that means no excellerate since the deer behan equilibrium of forces yes just you must have an experiment where you see acceleration th then you also know there is no equilibrium waait so you have u tinkoff that and equilibrium is not something that you go wees hefbed i wou heaven eyes steady steek keten process and the matter of loos nicely over my place without any excel array since there he fabian equilibrium of forces and so this is just one picture wel eens evolino the this is the angels single or internal fiction then okay sorry weekend push test and on show the test last week the trajectory much test you can push test to determine the single bed one of the problems of soul is that sail is never so are you now just down ytc the ceo royal and a guide to prepare wit exec li s the previous garden and he pushed tests gen in the trajectory will equip because he wants fine find it may be one degrees order to greece different be cause it's very difficult wit sorry to weep reviews it one 100% that like we problem with experience in the libor tree and our show you that members became even you t soerel samples of how effect is wrap it see you in situ samples and you have to test for for this angle of internal fiction yes something sport and lift those fans and thor clay or whatever have the the particle size distribution could be the bit this point and the density could be you bid diff'rent so you will never find exactly so a single finds euro friction and that as accounts for the other so mechanical premium to something like that your tank or the perm your buttocks tea or the angel of external fraction of those things will never be exact so a I see do another test wanting who noticed is that if you do do a test and and they company you live your images per database of detail' outside sorrels rain then you can say why you're ready this project in that area well I do it I am so who probably have the same sorry if you want so aware great that you can still compare you have your through the test in the c mbar tree and if possible violet the same person do the test who chose the outcome of the test good that panty around the person who is doing the test around the heap preparation of the test and something like that is that critical it's not that in the force this whoa is die for too much but one degree difference in the internal friction only for the which incompany blood more to or treat percent less or more production yeah so that's why they they like to heavy team carried out in the same way well so what do you do goal inuit sign number of samples and who does test it that vent pressures here you know see you Kees well in fact in this picture to care that all the circles lift attention tennis inline met in reality before I go this circle must be a bit bigger this one a big smaller and this mannequin I have bid thicker and then what you do is you try to door the best-fit line to those three circles and then that song ever the single or internal or I so that's how you deal we this and lord you can see him the sigma v one 4237 time increase the pressure smear the kon shining crash a increase the pressure and that means me my head circle is shifting toe the white bed i don't always has his you can also hef clay or long and typical ding of of doos the small my terios is df krachtt cent so not really herfst rankt of I myself so vague there floes are turn cent and her want to share it he goes linie danny force media has you over could little bit gravity the that's it company clay you not a shirt and force picos the claim es trenc cool I myself now this krachtt of clay vol is of basic lief and toe parameters want la mythe is the sheer krachtt of the cliefse worth want to hear it how much for sore stress die wij nu to make het zeer en die zeer stress wie wie calculate at van de origin app and then you take de intersection point under vertical axis in dredging wie morning also about copies in cleaning and x expression deco de s u value of shear stress very strict of in the tint wedge in user limit also about de copies copy zich sorrels so this is de cohesion and that also means the origin of those lines is somewheres under negative ex is so that's one so in fact tie dit doet wore this picture is move de vertical axis to the right now let's roll hide it and then you get this intersection de second door provider which is very important force en hij dranktink in ormel civil engineering it's to import en bed in dredging het is is de unless you strict regarding the matter so how hard can write pull on a piece of clay before it breaks je kan imagineer view-beelden dike and use clay in de dike to make it isolate foreword er flow ja de klingons wees in de compressions would he don't has your deal with the ten hall strengthens the wine and dredging we name chain and lime crime connection the matériaux yes your bed and would stress is in the matter long way you get them you might get unless there a lot you so the tenza strength is already so importing well the ten hall strengthens you in in this case you coetzee is this point is the point where doos line start a cool that the ten would strengthen bed who wants soul ether that under negative access ferry of to the shape of this line is natte straight-lin e anymore we dit skirt and it go to somewhere in the middle in this picture why so in this case you can do number of texts and b stood number of texts you can die terms boot the angle of internal fiction and the copies or the matter yes a lot in this case the coast is intersection point the cohesion you used in many equations so you give jazz bass it for a one circle it's not the nerve and by the way if you just have circle you don't even know whether it has cohesion or not be cause i van herman sörgel icon or with joy online van de origin met het engines because circle and he must find very high internal friction enkel which is not realistic bed yes and that the and iline is possible so to whom you not preferably too late to circles to find a combination of internal fiction and copies but in fact de moor circles we hef the more accurately and active so very much you want something or the ex offer such a owino de moor circle their we know how it works active so much you become who he well who you surely have them we dit could also be your bulldozer bleek or whatever well in the case effectively so much eeyore it's not the bulldozer wide british them with white passes well a lot jorrit can barbie you bulldozer wide anyway jules and so like that because how much at the such know and turned solis is veling it wants to slide on just about must offer for the maximum force salutation to reply under them to keep it stable to to keep it in tact and this is not just an imaginary you ex number of picos if i look at for x number of ports wuf the the the demos offers who in the word there in the line there you always up to calculate how strong glow the the then be to keep my case there become chips drive to keep it stable so become who has louis just normal fourth year and cheer for very the clean the toe wow seven only 5 internal fiction only in this case with just concealers are not claim this is only cent and further who looked under the how you do that the friction is the most simple exam praise or your carriage rain chain process here you have only better become horizontal in sandboxes wolfeynde single detail here deep and probe book between us the better here and you have high ik okay so out want to know what's what is the maximum force to keep it stable well first introduction to calculate the gee the the total gravitational force and the gee in fact is the triangle of sorry that wants to much will you have the calculate the cross section of that the triangle and des out inc her koot and bie buys engine tis man who vai the tied the engines and you'll get the density of the solo times jeee and the age square picos something something services so juliet the one for one site and for die had site but which some signs and cosyns so this is the equation for the gee the sec and teak who are we' know is that in cent we don't hef cohesion their relation between ormel force and fiction force and the relation is this friction force is normal for stank the fiction coefficient and in mechanical engineering rio with work we the friction coefficient the in show mechanics they work we the internal fiction single and detention tof 5 is equal to the friction coefficient and so sun times us the ankles sun garden use the fiction coefficient effect white now i'm working on some research with pipeline transport the transport of cent and woltering pipelines and even the particles are to have you will gather bed in the pipeline that has the pressure is her love bed will start sliding in the pipeline and in all the publications everybody talks about affliction coefficient and not about the fiction single while many of those people who can do this your research and civil engineers it quiet déguster friction coalfish so this those pence around the tab I was somebody's pie we have the fraction coefficient in all publications you will see the friction coaching and to know it is anyway cohesion who don't hef it in this and we have smooth wool opinion no fraction underwol see is the copy they in terms of very strict something like that wet force so motion is the stress the strong one is the at ease strong and the delta is the external friction single and so dietwin the school and them one week and ride on the toe equilibrium equation itself and zoey hef the horizontal gilliam and the vertical epilobium just right to use it at home well and here you can see you want to know the f with whom already so lift the s and the and so basically has three in need with whom will she have this i college is the shirt I just want you the f the s and the and s and ooms the gee is your only known to have I already is full is of the geometry so basically one two three equations would you can such a white well the first thing you have to this is so or the fsr the top equation who does that in the cw added scratches multiplying the queen's white boring marco sign the planning of of of which time you want to get ripped off so this is the solution for the f then this was the jeeeweee already the life that before and has your substitutes gee in the app iguazu you'll get this i college well what's not very nice of that i quit the cosy set who want to know where is the force at the maximum wiko's that would be the mixes want pressure of the solo and borders the them one does that have the oil and then weekend still play it is the betta is that that angle how you already soft those had renault zoé still have the bertha is a wage it is you want to see that which beta is the f the maximum moret a minimum order you won't you normally you take the door effectively or unique be and judie terminal where is the door effectively equal to zero' and if you want and maximum denyo als where to determine the double door have tip and the double door effectively s to the negative and this with the with I say and it now the problem is here you have the better in the nomine thor and in the dino my food so if you start the terminal the derivatives you get very complicated equation well week and simplify it to this equation and under next slide her or show you how to do this so first of all this was the epic being who not the duration effectively publish and the double door effectively to be negative well that then that complicated smell has you look at it this was the door okay icann ca take that her meines one plus one with just means ai at ziggo dessel but your channel is there trio between to things so a change am for the meines one eye can write this dino my ether that we this at the that took and ether yes then not quiet warm well eksept if one of the term will how that very road and alternate put on dress that it must do not shown that is the case so he has meines this to mine is this surplus warm and he can also see here salutation chose his times a you indicate his times chose his innovation search to terms no like his alpha cousin became there plus his at tacos his half basically that's becomes he lift the and he can add up the toe English and get want euro all in my head up the toe Englishman single is better and those had single is fineliners b bags of save with the result is phi phi meines better plus better is often so the result is correct so are or five so this to who will in this to this while also get wit of the minors are the that it in found or the equation and the result is an equation 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standard solutions in in so mechanic you will find the solutions in in many applications well we ourselves so substitute this only in this equation for the double derivatives and we will find every will is meines toe whitejes negative which means environment and to mix me yes you can also make up grab of the function and new releases you something maximum the third time when when people started with this they didn't have computers so they didn't f excel and make a quick charge of of search function with you can do now and then you will see om om the chart under grab where is the maximum the in those days the the your greeting analytically they didn't have those computers and so deus discount of with the with x okay eefje substitute is in the original freak who are this is the result and who sie well the first part ii in fact of the gee videos of the knows with offers wim brackets who get one meines are fide of this at oneplus are five and this term how you as alcohol the coefficient of active as much as you admit that boredom becomes arbi talking about well has the pentagon offers eer those degrees then so are or five is also point-5 will you the warm eines also point-5 the guided by one plus open 5 is one divided by tree net zo that give you we regio van die vibe bij tree do a little bit further week en als er see that the relation between the horizontal stress and the vertical stress is also this case which means the horizontal stress normally is just one shirt of the vertical stress uw het i find you go outside en hij moet measure in the solo vertically he moet people de know whether the solo and horizons ran well girl maximal no not maximum santing er antoine shirt of the vertical stress op de know whether the care yeah so that's active as far as who wants he break and to break down who comes in you just look does he do it yeah he does it okay what is it look like the active much here so your gaddum or circle the biggest stress is the vertical stress and the narrow stress the horizontal stress and down you lift the internal friction single in some confess xd cold is active as much as you chose the soul take action and so I so or take action something concealer to be active and from the point of view or so mechanics it makes sense that from the point of view or of normal tank in USA well a good take action is active and if you don't take action its path I it in so mechanics is right reavers pass so much you that's the other way around so active so much young was turned sauter section per shift so much here is men the outside world is doing something will you coetzee are designing sorry structure slide likes and red and whatever is beast around active so many hours passive so much here is mine the outside world is doing something so this is what we do in dredging and in in cleaning and x and and civil engineer you want to image sanitizing that always before that one hundred tears and in dredging who want to the story you it in fraction over second what is the difference well the picture with almost the same who still hef the gee and the app and and the and and the s with well the s is in the operator action why because the very force is incredibly on there is to the direction of velocity just now shouted is so hard that we make so so very much who wants push the school reports yeah something like that tired adwords in this direction and that means the sheer force is on there is is then becomes and in active so much here my the so much much sit wants to move down become so the force is adwords so the picture is almost the same the equation heavy or so homos the semah who has so an icon for the week for the gee the difference is that we will find another better with the equation is exec lieden cmi co since the cross-section over triangle and that they standard to cultivate who already so have the equation offers who a shareforce enormous force-logo that are among others tige and and and smooth wool picos may want to compare the to failure mechanisms horizontal and vertical force and if you would come per the toe the equations affectively so much you how the path or so much you that want see that sun where you have meines are and animals plus shine and in the Jews relations white was so the on there sits and despi chose the jury force is in the driveway direction well what do you do who is so cool who get this occasion for the f the differnz I one with the previous kees is this now we have plus are in the iguy are and who had to who the meines are the gee I pointed one is so a so is how you give substitutes equation in the f who this disc weigh now how you wanttoknow a minimum peak oil want to know the minimum force to make the sorry much wet and macs and and picasso of oats bulldozer and after a while dance the sorry it the minimum force where I know much I want much yes sorry to looking for a minimum so I and who not the grapes tip the double derivatives you be bigger than very will now be chose to your looking for minimum and how heft to simplify the cuisine knows to find the door effectively well keep who does it almost the same way yo hefbed when we the details in nomine to randy newman ether you to meines one plus one and so you at ziggo now for the meines one you take the dino my ether boot there are nomine to run that nominated and this is still one and now greasy cosign shine shine cosign so week and putting together to one's are the oil problem is here you even meines are and and the first eur 9 plus size they you know just add up the toe what you can so the problem by making this plus his by putting him his for this better picos the sign of my better is my so his or better jackets you had to this here Josse do this and since the chose his or Peeta equals the cosign of mind is better for the better for the cosign is so a matter whether you change the sign of the argument so you know so do the okay speed can add up the toe English so have 5 plus better my better yummy the fogg and and the result is because plus designer or his or fide where you this at the dino my food yes so that they know do the Arno test once you know this is very simple the Arno test another lectures that the most student will not think of this way of solving this problem with onesie never with the with the cleats not very complicated okay so who got this solution and influences analyze solution who her looking for minimum both is this term it a minimum well since here is a plus are we the dino my food here is the maximum the holder ruby ​​with a minimum so out want to know the maximum of the one down and that means a left to take the gravity and the double door effectively is to be negative gandy nickname looking for the maximum of that the nominate there well what do you bed this is the firth gravity second or edit if i will get very well for peta of by force of forty five degrees meines her the fiction single and level substitute just in the double door avatar wolfeynde meines to which is nine tips so and found the maximum of their turn so white matches he substitutes solution for beta in migration and this is the result and now you see it looks almost so an oil in the case of ekte passive so much your rival fight oneplus are phi divided by mind scifi wall in the previous kees who it the meines here and the plus again something like that so to matter of changing the plussers and meines that also means that if we look at just an x ​​number of dirty degrees budget oneplus viewpoint 5 the why this at meines opens 5 preview tree and every concealer the relation between horizontal stress and vertical stress in this case it must be less horizontal stress is 3 times the vertical stripes so you have something comes white active much here it means it's nine times the horizontal stress than in the case of active film yes yes why is that the chose here how year looking at the gravity of double by effectively or the f of the force and who not the minimum for so for the minimum force the double derivatives to be positive and for minimum it should be positive put now how you simplify the iguazu to this i college and here who lives the maximum or the that took an eaters an old year looking for maximum again and that means who not for negative the will by effectively yes okay okay so this was the result and what does it look like one now you get the horizontal stress is the maximum principal stress and the vertical sters is the the smallest principal there's one can you get this well or the the exam of a bulldozer puccini window show that could be a possibility another possibility is what riko bridge formation and bridge formation is effective piu have silo silo normally is a youtube cylinder with the conet the bottom and en matériels shop floor out they often used at in in the gate to store become reduced or material and if you need some of that matter open the silo the debate him and the matériels shoot faint out but it is possible that the matter in the silo starts [ __ ] and grants the wool picos of gravity in the beginnings and it changes from active of yes from active mode became vertical stress is the biggest to pass is motor where the horizontal stress becomes the business and in Sochi Kees to stress the horizon scan that can so bic that actually there the bridge in the silo wits is table and then if you open the silo the bottom nothing will blow out because the bridge is table and you need to those wanting to make it collapse well if you look at the heaps Gretsch Wanju empty heaps dredge upon opening the bottom doors or even and the hopper is full of shines you could also get bridge formation in the hopper yes and then you can open whatever you want with nothing will have so in the bottom over hopper dredge they have a lot of motor jets then floor the ice so end and this way this try and the bridge that might occur een lobster they wouldn't do that you could get the bridge yeah and the hopper wants to stab feel that I want to have so that's one of the dangers and another case where you mayhew passive mode in nature is if you look at sorrels that used to laugh an ice cream scoop want up of them in the ice age picos doing the ice age already so in the north of holland who it may be one kilometer of ice to the sorry and that chose or that the stress is in the school wii game much larger than just by theil know what once the ai stares this melting box large stresses stay in the soil and you may get passive mode of both much you which means if you go to the north sea to certain locations you want fine that the horizontal stress is where still bigger than the vertical stresses and if you are dredging company can you don't know it means the chain forces will probably be bigger and you need more power to dig the matter job done if you don't know that and this oil has a discount or something and you okay look and shudder production or so and so much and then once you start dredging you find out the production is with flash picos the stress is in the school where haier doos tings actually also there well here you can see in the moor circles active and passive will be like that is how you even certain vertical stress picasso or the knows the small circle is the active kees would the horizontal stress in the case of dirty degrees through without stress would be one shirt and this is the pc case where the horizontal stress would be three times and when my ar coating sorry wow slide you the deal with the pc case this is so his picture bad and shift a little bit and you get copies yeah sorry you guys have intersection we the vertical axis so you have such a cohesion chain mechanisms well he measures such slides over public rain or the sixties of the japanese how this such good research the research was focused on yeah they wouldn't say hi sorry eh sorry buff ports label have it is the kind of labeouf root level this so a language bysmits dry cent could be runs it normally sorry will not be one 100% there so in their pepper dd people certain equipment and they want to be able to calculate chain forces this is all farmers 3 system dr in fact in reality this is this looks like it's manual bed in reality there's a motor driving this it what you can see is here and stays in this case and the six degrees and they put the great in the solo would you can actually see what is the soul doe how is it the formation and he misses c they are also publication but it still one of the publications that give you an ice overview of of what is so much actually doing well they have some ex amos this is turning quarts cent well normally when we talk about cent something short so family this is us normal cent you see the width here six degrees and you see how is the formation met is this suspension here but it's not stay in touch you above the bleach you can see many cracks and share lines on a dashboard it looks like wet quartz and it also shows the share play and yes a little bit so are with it it looks more compact and the reason for that is that we will see whether one you ever sent wet you get more pressure picos on the engine and the farmer precious keep the cent more to gather yes in dry sent by you could cfr were recognized loose anyway lead to descent that we hardly have more precious plastic bentonite bent there never is a sort of artificial clay the user too late in oil drilling yes you can them here us some sort of plastic de formation that you know cissé here plains and and I it is disintegrating the plastic loon for who plastic loom is already such a sort of clay with the chemical composition is already wild dull want to become you see white plastic louis usa plastic de formation and the matter you always in intact yes i don't see all those cracks this always one flow of material sometimes that's good zoon home that's not blood this deep and without application why would it not be does this FLO's nicely in one flow that this is such plastic and so logical that is you have Krutter Dredge I want to stick to everything where I know stick and then if I have continued flow once it stick somber the further the following stick loose of stick and before you know it the high water it is blocked white cloth you have to move up the leader of the cathedral remove everything and start all over again so for for chain perspective who don't really like it be cause this card of of process will block everything plastic clay its side of behavior plastic the design yes so your hash earplanes etc ring that this is not veling yes in in other materials it's actually velings there via we share play is this cracks under share play that in box small of Terios is a continuous process it is luxury little bit like Stihl chain on a turning machine and you'll get continuous curl and you you you have to put Lily Cole burglars so around the turning machine you lift special piece of metal to make the curl break picos also why you turn of your arts earnings Tiel you don't want this continuous curl because it can stick to everything not like label it can get into the machine and then because it compacts the load so compact the load you can compare becomes very hard clay very dry hard clay and you see that here you get cracks and in fact why do you get cracks well you can consider this coating process and spending the materials in viewer bending with materials whatever matter you guys it is to that outside you will get and room stress is a to that insight your get compaction and I dead and room stress is it the bottom-up sees the times of strength you will get cracks and that actually what is happening here this is a summary of what you just like so this is what what good have a review have very much you the plastic very much you this is what happens in seems so decoed is the atmosphere type' this is the float right where you just have one share play but also plastic deformation so week well in the flow tight and this is what happens if you get east and would cracks in very hard lung and normally you can calculate and the room which only the sheer crack the Tencel spot randomness and then after a short while after the first graco courgettes secondary crack for this week well the primary crack am julia the secondary creek and do ninety degrees wiko cink you would put the process in the moorse oh can you see it one hun rotate the degree sweep first crack so that's why you get exec lee ninety degryse for the secondary quarter I was dring we that's what those guys found they also in their publication date show some more diagrams will hear you don't see the circles we dozenal sigma tau diagrams for this is for dry quarts end plastic bentonite you can see that the angel wind earl of fiction is very small frits almost horizontal and here d bit point which is the ten would strength zoey will not look at the intersection point with the horizontal ex is what you measured it and hall jumps and that basically that means the dozen pièces of of the line should not be there we should volg lines their android vertical like this was plastic bent a out plastic loon luxe little bit so his lord you have plastic clay and you can see the ten would springs is much further away and that means relatively might and salt springs is with let you so boring and bending the tribe of clay out will still get those unless if versus at the thenns jumps off is bigger than the stress is so out will not get the crack this is the compact the wage and you can see the tennis hall strict this very small compare to the had stresses and that's why i will exceed this point and ipad unless tricks this is another number iwdc okay this is the sheer type' here who has the fleet out so much type' is is in cent I want a lot to the the line and through the angle of July 5th coli too much rent criteria valueline this is what happens in the plastic are you never something like that want a lot to this line wet to ten like strange plastic wage the flow type' want already so much to this line it well I get that structure and we the timing if you really get and share play and its fehring and not something like fracture that's what a cold is treat picos yes after that the two pieces of material and not connected and humor so des dettes actually what what happens here with in the flow type' you only get plastic the formation which means after getting it still in intact and it still revises strength and then here the tar iPad much to the ten hall strength so wet to this line the this wants much under count intense jumps off in rock good at the council wing work here with in skirt usually you ever water complicated coating process where a number of boxes much your mechanisms of select there so are garden and that makes it more complicated this shows you a little bit about the toe principal stress is so who it the Merksem him and the minimum principal stress and here they show the lines of minimum principal stress is and in this direction the lines of maximum principal stresses and that means in this area you will get the unless stress is well that's what you can't see over here this area be is the area where you hev t' en hall stresses in this area usually Joralf compressor stress is and here they show the corresponding beautiful circles so you connect I want to see what the sits look like in the moor rogues lord you 40 and height and even Frank Devil third flow type' scent eth need and even strange no commission something the atmosphere type' and melted and she as strange remained you the tar types oil or his ice overview of what you can expect and here this show the white the moor circles in those areas ebi and see if the previous picture and ready to this on blackboard would you can just look at those pictures of you like and our put this publication on blackboard pico's family the zoë thin ice introduction in what is actually happening because they have many pictures of of veling megan is well then they show what happens in the different english this is cent and the dirty degrees rice end so d-star twitter that the gryse and the luxe little bit like it's almost the flow mechanism we this understands joralf the screeching planes so the the matter is realization well if you make the single bikker forty five degrees you can see you get much more much here lines visible many airlines who has the concealer this defect this the judo see santing thousand minutes of altair biko since and this will with difficult to the chairman this you're not six degrees seventy five degrees and then they have ninety Degryse hear you can see very clearly the area were with theories is shearing then they also have such a series for plastic wage you can see it the very small single Julia the crack here and one of the reasons is the the norm of stressing Sarnath has the angel is too small for the five degrees who quiet I see work here a bit see the matters flowing over the bleach and they continuously Jos materials six degrees who Dancy the crack anymore so Juliet and eyes continuous flow and in fact if you don't want continuous flow one of the things you can do with use your plate single picos you will get that crack kissing yes would YouTube Coetzee we have big there single the ben thing is Marcel should get the crack it it's all weather of the region between different leftovers seventy five degrees and iPhone this picture in their publication was upside-down but nobody knows why with the slides it the Santinge pregnant so ai just flips the picture this is a my Tigri bleach and this is the matter okay well just look at Tooting process is a and be one to go further theory first who has to talk about of definitions so this is the matter you we have pale and by a single alpha here who has the angel better outings like with passive and active as much as you the remained he waves x be you could also the finer remained thinks this are matter of definition company a use the height of the pale and lord jungsheft' the tigi colour the tick now or the l'air cat yes you ass coals too hyped the acolyte the I nothing on chains surtel there the edge of the pale week already pointee then were share play comes to the service week already pointy and the top of the blade wikkel points i then you have certain coating velocity witches in the positive direction and who has to force is horizontal force and vertical for you can define many more sausages with finally you not to force is a the nike degrees and sedo sar the force so box out the horizontal into the vertical for his what you can see is that the vertical force the positive direction is down worth so is how defined positive article for it means the force is down words something like that pulling the pale into the soul and that's what happens in certain cases the types why he at one time and that's the curling type' wiko's we found that if you have very team claire of material wit brother high tea they with this gift so have a dead circumstance is then the norm of force in the veerplein is not strong enough to push the matter you all the we over the pale picos the at easy force is holding it up and it will either tail curling hear I want pull I want are bakkal whatever you want to call it in in of your drilling they call it bowling bowling of the chip so so in fact this also happens when you where drilling the at5 becomes and kilometers prejudice and there the tip is that your marketing is like open then mm so that explains why they have this problem die position ferrite in blair so subtle ayres high tea sense in some way be viewed curling time that like they what happens in steel chain then if there is ticker and it will be combination over tickler of material that reason is a little bit less and the force in the sphere plain is big enough to push the material all the way over the he remained incredibly compair white white cheese chain i am very young cheese i want stick to the blade and I want crack review have medium cheese this well nicely flow over the pale and he has a furry alci switch site prefer by the way you whether crack yes so this is this is the tar tike windows tencel failures and then this is what happens in cent en likes centra didn't have cohesion and tennis well strong can you get all those die screech airplanes in sent by the way de the distance between the sheer planes wii for many tests in de libor 3 it's like one two to centimeters deep en without cent of course but de mac net hjoed is want to to centimeters nou chain forces de first step is het jan erik equation which is well the especially types of material and that means in in the picture who the who so far have all the forces that could occur so it mean they will occur also means something like forces dewey f first the role that the ai stance for a workshop fors the in ursel force is the force be chose the matter left to accelerate and although my put there is no acceleration while there is no acceleration and of this this lamp as matter that that for a particle basis the share play it he fast velocity year through after it basis the share play it he his mature theory seemed this you the velocity of the turned out you something like that musthave xxlerator so expensive is and acceleration and force and this app acceleration in for force in fact is so his force that you'll get one you have the hope about fire truck and your open it and you feel that impulse force kitty you back we the semi grayson you can calculate this i know so that's the first becomes secondly the copy itself heavily in the matter lessons sheer strength copies then you just multiply that cohesion at the cross section of the fair play and you find your provision force then we have always have normal force and if i have single or internal fiction yes the atmosphere for so des the there and one end es war and if you combine the to you get the game of so decay one is not an extra force is so him or and one and so on it is so the vectorial some of the two they dozens heavily den in many souls and the words picos bridging actors and the word er there could be more precious and has the pour precious to nautique what you the hydrostatic pressure juliet then over pressure and under pressure wow stok about in the pressures and this in the pressure wil al so who fills in a fors under share play so this is the double you do you dance for words so is the words pour pressure fors The Hague apogee which is the know of this lamp of soul and under pale yogja the one white she is equivalent to the seabed now is the adhesion the at easy for switches the external officer strength of the material so that she the one furry week clay your brains tease in which is almost equal to the cohesion it can never be bigger budget cow people if i am very dry clothes then read all very weak lion who talk about letse one one to twenty capi you then something is relatively weak and the clay that you use to play with one one you were little at home ruby ​​in detail something something week empty out shop she the clothes is for potter i would be somewhere in details with you kennels ferry hearth rug like for 100 capi sheer strength and that's very dry and then you jullie om die outsite even if you touch it je moet hard leave you and i et ii ze en effectively wahoo that of his harder clay then you have transition between clay en en certain types of rock jaar ook de zander tige en et al so the region between the ethical and the cohesion is die creasing wit increasing 4 krachtt denyo als f the norm force en the shareforce en hun enkel delta delta is the angle of external fiction so wie het the internal fiction here who has the external fiction and so external friction can never be bigger than the internal friction use oil the building honks of the internal fiction save you don't have any value just take to turn that will work and who has the boer pressures the double you so heavy the precious then if you look at the force is under remained I was here how look third forces om the solo well here the forces haar exec lee so are it in op wit direction action is reactions would you see ow snoek carefully and my looking at the force is about the playstore and my look inge the for them without solico there's just the plus meines difference now there is one more thing which how you normally i don't use but in the curling time you have to very much curling type' of process juni this and that's the moments why east of the force is da parallel rather to the share play murder you the pale and that means they will not result in a moment and clears the edge of the pale that word pointee itenc but which forces who will in a moment well under share play and you have the and one and the double yuan how the show meneer so a point of actions so df so a bredius so this will chosen moment and about the blade you have the norm force and the boer crash course will also shown the year it is his point of action and this is the reason is so basically a can create 3 conditioner out of this he has me equilibrium of horizons forces vertical forces and lammens and windows 3 icons of most probos how you already pointed him the beta which is left in the queen's and for the betawi your broccoli so his ss white passive and active so much you that the principle is that is a nature is reading so nature ones to this white a minimum of energy what jury code minimum energy principal well what is energy in sochi chain process energy is the horizon topforce times the chain velocity the vertical force is perpendicular to the velocity so white so nat can tribute to your power to your energy how it is consult so you give them a case horizontal force home velocity is is the chain power and he lives to minimize the chain power this means a left to fine the beta where the horizon cool for suzette minnema and that's the principle for use to fine the correct better in this case you cannot solve it analytically jungsheft' so so white you brand lee and that remains target white the nature of of many of the queen switzar non linear and some time simply sits and the just means you cannot solve it directly juni the computer to solve it in most cases what is the solution so and not gonna give you all the equations and how my soul white this is the solution so in my head is horizontal and vertical equilibrium and he is so fit am for the cake to which was the force under appeared ai find it i college and then one zijn noden ketu hij can calculate the horizontal and vertical strongly under appeared so that the bottom to equations we dit for je look at the equation den weekend sea santing weekend see that each force is independent in the iguy ze een dessert i know so there's no cross multiplying of and eating iets force is indipend lee in the iguazu zo hier wie hef the the gate leftjes under bleef more precious under share plein de weet the hirschel force cohesion force en ethical strongly what the fack de dea independent in the queen is very nice pico snel i can say ok in a shirt en type' officially week and die laat a number of force is fda wet spots wel voor dat die persoon en wat slecht is de equation voor detail ofzo zo how je wil start met draaien zijn ivf twice en time will not have de dubbel you to en de dubbel yuan zo dhc euro is de gee import en t' yeh th picos there are hardly any other for ze would he not the weet or the care so the that is importing is the a import and t' the high chain velocity sits is the counter in velocities it's not if you say okay what's the difference between one minutes per sec a tent and meters per second that's effector one hundred picos in the to the velocity ithc became so pro billiard and meters per second its relevance we that one minutes per se que pro billiard e n it doesn't seem so the deep and sun grip arm chain he does huh fsi and an ecological natty and that in cents are so a hits cohesion the nations so in Flemish and solid jeee and the ai ai lift that's it became cent well who the word there in the gate so who wants him dead track pressures and do track pressures can be water bic that means eye candy spot the know I so a player on the i nursel force the very high chain speech that not at normal coating speech so normal yes I want too such a that spot that the sea and the one playful are junk don't have cohesion and ned higgins eye candy spot them to other things should look at the delta and the five cents his internal and external frictions so they have value of both heft to take them into account then play well clay so and hit dead track pressures the knows camping spot this in Ursel for scampi doesn't leak it the clay mask oh those are adhesion the clay in Arren Kees and her we let's play next week so a hit phi and the delta i don't even internal and external friction the very high velocity is the ver milo speed like one hundred tears cling internal free legal advice see there also concept the devil explain that next zoey have so and the ether and those two archaeologist paul it makes the equation dead simple then the last one is what is how you look at rock who don't have dead track precious and the norm on conditions the atmospheric conditions gee is not leak the will there is not leak double brockhuis sheer strength so who has to take the first right into account rock so the he vertige to that outside the core internal and external friction so have you tape teacher primeval cap so sir you have one i college and deep and thing about the time or something you can die liet a number of terms of variables and that way you can get any given for each skype or something okay that's it for two day and then tomorrow we will continue