In today's lecture we will continue our discussion with plate bending elements, so for what we have done is we have developed various types of elements for both theory based on thin plate hypothesis and thick plate hypothesis, and the element that we have developed were of you know some of the elements were conforming somewhere non-conforming. Now before I start discussing a topic for today that is Tiffin plates, I would like to make few observations on some of the issues related to using of these elements. Now two questions I would like to raise, first question is how do thick elements behave when used for thin elements? Then how to examine convergence characteristics when non-conforming elements are used? Both these questions are widely discussed in the literature, so I will just give some broad indications on what are the issues and how some of the difficulties can be resolved. So to enable this discussion we will revisit the problem of Timoshenko beam, so ask the question what happens if beam depth reduces? So if you recall in the Timoshenko beam this is undeformed geometry, and in the deformed geometry the plane section here remains plane but it rotates by an angle psi, it doesn't remain normal to the neutral axis there will be a shearing strain that we wish to take into account. The expression for strain energy we have already derived will be of this form. Now if you examine the integrand in this expression for the energy we see that the field variables are psi and W and the order of the highest derivative is 1, therefore we can use linear interpolation functions for both representing psi and W, so if we consider two-noded element with degrees of freedom W and psi at each node we can write psi of X as this and W of X as this. Now if I differentiate W of X I will get W1 minus W2 by L, this is a constant for the element. Now as beam depth becomes small the psi of X you know the psi of X should go to dow W by dow X, this is what we assume in thin plate theory, so in the thick plate theory this as beam depth becomes small psi of X we can expect that it will go to this, this according to this representation becomes constant, but this is not admissible since the bending energy is given by this term and this becomes 0 if psi of X is constant, so this problem is known as shear locking, so this is undesirable so how do we, how can we remedy this situation? So there are two possible remedies, one is we can use interpolation polynomials such that psi and DW by DX are interpolated by using the same order of polynomials, for example W I will use a cubic polynomial and for psi quadratic so that dow W by dow X and psi will have the same order of representation, or there is an alternative fix known as reduced integration I will try to explain what these things mean in the following slides. So let's consider a beam element, now I will use the non-dimensional coordinate psi is equal to X by L and I will locate the origin here, so the beam lies between XI equal to minus 1 and XI equal to 1 and its length is actually 2A X varying from minus A to plus A, so this axis is X, psi and this rotation is psi and this is W, now the field equations are given by this and these imply that D4W DX4 is 0, D cube psi by DX cube is 0, now accordingly using psi equal to X by A, W can be represented as a cubic polynomial and psi can be represented as a quadratic polynomial, now in this representation the A1, A2, A3, A4, B1, B2, B3 are not independent, they are connected by this equation and if we impose that constraint we get the constraint equations as B1 given by this, B2 given by this and so on and so forth, and we introduce a parameter beta which is EI divided by KAG A square, now as beta goes to 0, beta goes to 0 as depth of the beam reduces, so this is one handle that we will have to examine the behavior of the element as depth becomes small, now we have only 4 independent constants because of this constraint equation that is fine, so now consequently we can represent W in terms of this shape function N1, N2, N3, N4 and WE is a nodal coordinate W1, psi 1, W2, psi itself is represented in terms of this quantities interpolation function N5, N6, N7, N8, but they are all given by this, there are only enough independent constants as mentioned here. As beta, see one thing we should notice is if we now consider the representation for displacement field W, as beta goes to 0 these functions N1, N2, N3, N4 reduces to the cubic polynomials that we used in analyzing Euler-Bernoulli beam. Similarly if I now take psi as dow W by dow psi I get this and it can be verified that the functions that are listed here N1 to N8 satisfy these requirements, that means in the limit of the analysis being applied to a slender beam we recover what we have analyzed, what we considered for Euler-Bernoulli beam, so that is embedded in the way we are interpolating here. Then the procedure for deriving structural matrices is straightforward, we have the energy expressions and field variables are represented in terms of the nodal values and interpolation functions, so we can do the evaluation of structural matrices and we get the structural matrix, mass matrix as given here, it has two parts and they are listed separately and it is given here. Similarly the stiffness matrix is given by, it can be shown that it will be given by this, now in this case as beta becomes small it can be verified that the mass matrix and stiffness matrix converge to the mass and stiffness matrices that we have already derived for Euler-Bernoulli beam, so here there is no problem, here the thick beam element remains applicable as a beam becomes thinner and no special precautions need to be taken to use this element. But on the other hand suppose if we start with the argument that psi and W are the field variables and the highest order of the derivative that is present in the integrand of the variational formulation is 1, therefore I am at liberty to use linear interpolation for both W and psi that is fine, so we can start with that, so W is interpolated like this and psi is interpolated like this and where N1, N2 are linear functions as shown here. Now the element nodal degrees of freedom will be W1, psi 1, W2, psi 2 and they can be assembled in terms of this N matrix and the nodal values as shown here, now we can compute dou psi by dou X and dou W by dou X which are needed in the evaluation of the strain energy and we see that the strain energy due to bending and shear can be evaluated, we get for the bending this is the expression that is EI dou psi by dou X whole square will be this and this is a constant and the shearing function, shearing energy due to shearing will be given by this. So this integral can be evaluated with one term Gauss quadrature and this to evaluate exactly I need 2 point Gauss quadrature because this will be fourth order in XI, so but if we do this then as I already been pointed out we will face the problem of shear locking, okay, because in this representation as the beam depth becomes small the representation doesn't automatically converge to the Euler-Bernoulli beam limit, so there will be a problem if we do this. What is proposed is we replace the linear shear strain variation by a constant in the sense of minimizing the mean square error across the depth, so following this the integrand equation for US, integrand in equation for US becomes constant and hence can be evaluated using a 1 point Gauss quadrature, moment we do this then the locking problem will be eliminated and this method of overcoming the problem of locking is called method of reduced integration. So this amounts to by doing this integration we are virtually ensuring that dou psi by DW by dou X and dou psi are of the same order, okay, so then by using a reduced quadrature as mentioned here we are achieving basically that, that is why the shear locking problem gets eliminated. Now this is as far as T machinico beam is concerned, now let us return to the four-noded thick rectangular plate element, we saw that energy expression is given by this and we found out the element stiffness matrix in terms of flexure and shear and by using this formula. Now the problem of shear locking is possible here too, this can again this can be overcome by using reduced integration, see if we examine the details of these integrands here these integrals can be evaluated exactly using 2 by 2 Gauss quadrature, this provides acceptable result for thick plates, there is no problem here, but however for thin plates the locking problem occurs if we do this, so what is suggested is we evaluate the flexure component by using 2 by 2 Gauss quadrature, but for evaluating the shear part we use a 1 by 1 Gauss quadrature, so this indirectly ensures that the locking problem is eliminated, so this is one question that we posed about behavior of deep beam and plate elements as the thickness becomes small. Now I wish to make few comments on issues related to convergence, in using any finite element formulation we can ask several questions after we formulate the element, at the stage of completing the formulation of the element and when we are ready to use it we can ask several questions, has the element been formulated correctly and has a computer codes have been developed correctly, how do we know that an element available in a readily available software is correctly formulated and coded, suppose even if we are not the people who have developed the element, we may be using production version finite element softwares and we may like to use a particular element in a given model, how do we know that either we are using that element correctly as intended or whether the element itself has been formulated correctly and coded correctly. Now other question we can ask is when non-confirming elements are used how do we verify if the convergers should be achieved by refining the mesh, so these questions can be answered by considering what is known as a patch test, the story goes something like this, what we do is we assemble a patch of elements under study, the assembling of this patch of element should be such that at least one node must be within the patch and the node should be shared by two or more elements and one or more inter-elemental boundaries must exist. Now we load this patch at the boundary nodes so as to create a state of constant stress, so this state of constant stress can be with respect to one of the stress components, for example in a two dimensional problem it can be state of constant stress in sigma xx or sigma yy or sigma xy, now we support the patch just adequate enough to prevent the rigid body motions. Now we analyze the problem using the element developed and we compute the stresses, if the computed stresses within the entire element agrees with the exactly known value of constant stress and perhaps zero stress for other, I mean some of the components then the patch test is passed by the element, an example for that is suppose you are using plane stress quadrilateral element, so we make a patch, this is a node here and we create four quadrilateral plane stress elements and we load this edge by a constant surface traction, so this surface traction is a constant and for this constant surface traction we evaluate the equivalent nodal forces using the correct formulation and these are the forces and this is also the another force that we have applied and this is the support conditions, you can verify that under this state of loading and the way it is supported this patch would be having constant value of stress sigma xx equal to F, where F is the magnitude of this constant value and sigma xy and sigma yy must be equal to 0, so we can analyze, suppose you have developed these elements you can analyze and find out whether these conditions are met or not, so the example that I mentioned considered the case of sigma xx being constant, for a plane stress element we need to repeat the test for other loading configurations corresponding to constant states of sigma yy and sigma xy, before we can pass the test, they pass the element for further use. If the element passes the pass test it is ensured that a finite element model which uses this element converges to the correct solution as the mesh is refined repeated, if an element fails to pass the pass test I mean we should be very careful in using those elements, it assumes that the element being tested is stable, so what is the meaning of a stable element, a stable element does not exhibit zero energy modes when it is adequately supported so as to avoid rigid body motions, one can study stability of the element by considering the Eigen values of the stiffness matrix, there is another numerical way to do that, so what we do is we assemble the patch, a patch as in the pass test and load in, apply the load as in the pass test, now assuming that the element has passed the pass test what we do is we perturb one of the nodal loads by a small amount, if the computer stresses change by a large amount because of this small perturbation then the patch has failed the stability test, if the test is applied at the single element level then the element has failed the stability test, that means if at the element level we see that a small perturbation of the, to the loads as depicted here produces large changes in the stress values, again we say that that particular element has failed the stability test, there is what is known as weak patch test where the element approaches towards passing the pass test as a mesh of the patch is refined successively, that means for a given mesh configuration like this the element may not pass the pass test, but if we go on refining this as we repeatedly refine the mesh the pass test tends towards success, so I mean the test is passed and then we say that the element passes the weak pass test, there are other issues like higher order pass test, for example we have considered in the pass test states of constant stress there can be other issues, for example modeling of pure bending in plane elements, an element with quadratic expansion for U and V must be able to represent exactly a field of pure bending, so pure bending is not a state of constant stress but it has a specific distribution and this can be thought of as higher order pass test. Similarly there are other issues like robustness, for example a state of pure bending in plane mesh must not be affected by the Poisson ratio of the element, so some of this can be used to verify whether the element has been formulated correctly or are we using the element as intended etc., so these issues are discussed at a tutorial level in these textbooks there are many research papers on this, so this is a subject of research, if you are interested there are many research papers on this. Now one more remark that can be made in the same context, these numerically integrated elements lead to the correct convergent results as the mesh is refined, if the order of integration chosen leads to the correct evaluation of the volume of the element, why is that so? The question we are asking is suppose you have evaluated stiffness matrix using Gauss quadrature and we have seen that the Gauss quadrature would not integrate the elements of KE exactly because there will be ratios of polynomials in the integrand, so the question is if we are using such elements how do we know that we are going to get the correct convergent results as mesh is refined, now the solution that is made here is if the order of integration chosen leads to the correct evaluation of the volume of the element then we are okay, I want you to think about this and answer but I will give a hint, as the mesh is refined and constant strain is reached, as mesh becomes finer within an element strain tends to become constant we get the stiffness matrix to be of this form, so this term becomes constant and what remains is the volume of the element, so the statement made here is that if this volume is corrected correctly then this required condition on convergence is met. Now all these checks have been on static behavior of the system, so how about problems of dynamics, so there are few checks on mass matrix I will return to this sometime later in the course but I will just indicate a few points here, this is something to do with Eigenvalue analysis, the question we can ask is are rigid body modes predicted correctly, if I know that a structure is supported in a way that suppose it admits to rigid body modes the Eigenvalue analysis should reveal that, next the question of ability to characterize closely spaced modes and repeated Eigenvalues, we have seen that in structural displaying symmetry in stiffness and mass characteristics, spatial symmetry the Eigenvalues can repeat, for example in a circular plate we saw in the previous lecture which is fixed all around there are two mode shapes for a given Eigenvalue, so how these things are handled and if the natural frequencies are closely spaced will my Eigenvalue solver be able to handle that correctly. Next are all the Eigenvalues in a given range extracted, that means within a frequency range you should not miss any Eigenvalues, so that is also another question, and then again if you have used model reduction or substructuring there will be further questions on choice of masters and slaves and so on and so forth, so the questions on dynamics require further consideration maybe we will return to some of these issues later provided the time permits. Now in the previous lecture we considered four nodded rectangular quadratic thick plate element, I leave it as an exercise for you to repeat that exercise for the quadrilateral element, the strain energy expressions are given here, and this is the geometry of the quadrilateral element, and we use the isoparametric representation as shown here, and this map is, this element is mapped to this master element, and we use this interpolation functions, NI xi, eta is this, and X and Y are represented using the same interpolation functions, and the displacement field theta X, theta Y are represented in this form, so the exercise is to develop the mass and stiffness matrices for this element. Another exercise, you take a eight-noded curved quadrilateral thick plate bending element, and this is an expression for strain energy, and using these representations there are eight trial functions, and the trial functions have been defined here, for 1, 2, 3, 4 this is the trial function, and for 5, 7, and 6, 8 these are given here, and we again use isoparametric formulation where the coordinates X and Y and the field variable W, theta X and theta Y are interpolated using nodal values using the same set of interpolation functions. Now the problem is to develop the mass and stiffness matrices for this element, so this is suggested as an exercise, this will, if you complete these two exercise you would have learned a great deal about formulation of the structural matrices for plate elements. Now we will now consider the next class of problems associated with plate bending, here we are considering plate structures which are stiffened by beam elements like this, so these are typically observed in bridge decks, building floors, ship hulls, aircraft structures on and so forth. Now the beam central axis that is a line passing through this point C here is accentrically placed with respect to the middle surface of the plate which it aims to stiffen. Now obviously the membrane and bending action of the plate and the flexural action of the beam all of them get coupled and correct formulation should be able to handle these details with care, so how do we do this? So the coordinate systems here we assume that the coordinate origin passes through the mid-surface of the plate element and the centroidal axis of the beam is at a eccentricity E and I consider this to be the X axis, this Y axis and this Z axis and the degrees of freedom that we are considering is U and theta X, V and theta Y and W, okay. So a first cut model for this problem we can begin by ignoring membrane displacements of the plate, so we will consider only the flexural action and of the plate and the beam. So now the strain energy is stored in the beam is given by this expression, we are assuming deep beam element, so we are including rotary moment of inertia as well, so this is the equation. The strain energy is due to axial deformation, bending, twisting, bending about Y, bending in the two directions, what we are going to do is we are going to ignore this bending contribution for the time being, this can be, you know this bending in this direction can be taken to be ignored up. Now based on the geometry of this configuration we can see that Uc is given by E into theta Y, which is E dou W by dou X and Vc is minus E theta X and Wc is W. The beam displacements actually need to be compatible with the plate displacements along the attachment line. The expression for kinetic energy I will use these representations, so this is the expression for kinetic energy and Uc, Vc, Wc are given in terms of W theta X through these equations and if I substitute, make these substitutions I get for Uc dot for example I will write E dou W dot dou X, so that is what is here and similarly other terms are represented and I get the expression for kinetic energy in this form. Similarly strain energy is given by these three terms, again for Uc, Wc and Wc I will use these terms and using that I will get the expression for strain energy in terms of W and theta X to be this. So kinetic energy is also obtained in terms of W and theta X, so these are the expressions for kinetic energy and strain energy. As I already said along the attachment line the beam and plate must deform in a compatible manner. Now if you recall along the edges many of the plate bending elements have cubic variation of, a cubic variation for W, so if you recall if you consider this four-noded beam element, sorry thin plate element we had this expression for strain energy and we saw that the field variable in this expression for strain energy is W and the highest derivative present in the Lagrangian is 2 and therefore degrees of freedom are W dou W by dou X and dou W by dou Y and there are four nodes and number of generalized coordinates were 12, because we needed three degrees of freedom at every node and we use this representation. Now suppose if you consider this representation along one of the edges, you see here that if I put X equal to A I get this cubic polynomial in Y, so that is what I am saying here along the edges many of the plate bending elements have cubic variation for W. So now I will use this representation for W, NW1 psi, theta Y1, NW2 psi, etc., etc., as shown here, where NW1 is N1, NW2 is minus A N2 and other details are as here, and N1, N2, N3, N4 are the Hermite polynomials that we have used. So using this I will write W as NW into WE, so where NW is this and WE is given by this. For twisting theta X the second term I use linear interpolation functions that we have seen NX1 psi, theta X1 plus NX2 psi, theta X2 and these are linear interpolation functions, for theta X I get this. So I have this representation for W and this representation for theta and I can combine the two and write the expression for kinetic energy, W is this and theta X is this and substitute and we can carry out the necessary integrations and we can show that the mass matrix will have first integral can be shown to be, will lead to this form and the second integral will lead to this form. So we have these expressions for the three terms in the expression for kinetic energy and we now define UE as element nodal degrees of freedom, W1, theta X1, theta Y1, W2, theta X2, theta Y2. Now we can write the expression for kinetic energy and assemble these matrices, we can show that this ME can be given by these four matrices and these four matrices are as shown here, this M11 is here, M12 is here and M22 will be this. Now how about strain energy? We have this expression for strain energy and again we will use the representation for W and theta X and we evaluate these two terms separately, first we consider the first integral and this leads to a mass matrix of this kind and the second one leads, sorry stiffness matrix of this kind and second one leads to stiffness matrix of this kind. Again we can assemble in terms of nodal degrees of freedom, the element stiffness matrix in terms of these four matrices K11, K12, K12 transpose and K22 and the details of this are given here. In this formulation we have not included the effect of membrane action of the shell element on possible behavior of this beam. Now if you want to include that, first we need to develop an element for the plate itself where we combine the flexural and membrane actions, so that type of elements are known as facet elements, this combines the action of the membrane action and bending action, so the element configuration will be as shown here for a four-noded element, so the nodes are 1, 2, 3, 4 and at every node I will have, for membrane action I will have two degrees of freedom and for flexural action I will have three degrees of freedom, so therefore W will be this and S is subscript for shell and this will be this, so this will be a 20 degrees of freedom model, there are four nodes, at each node there are five degrees of freedom, the five degrees of freedom are U1, V1, W1, theta X1 and theta Y1 at node 1. So we need to now assemble these matrices, write the correct expression for energies and derive the matrices, this is straight forward because we have already done the problem it is now matter of just bookkeeping and assembling the matrices correctly. So we will write the kinetic energy in terms of membrane action and bending action, the membrane action is given by this and this is U1, U1, U2, U2, U3, U3, U4, U4 and I get this matrix for mass matrix for membrane action where each of these sub matrices is a 2 by 2 matrix, this we have derived earlier so we need not have to get into the details once again. For the bending action again the nodal degrees of freedom are 12 which are W1, theta X1, theta Y1 and similarly the other, so the mass matrix for bending action again is given by this and each of these matrices, sub matrices is 3 cross 3, so now if I write the expression for T I need to appropriately assemble these matrices. So now if I define the nodal coordinates for the shell element subscript S is for shell I will have 20 nodal degrees of freedom and I need a 20 by 20 mass matrix and in terms of the element mass matrix, shell element mass matrix this is given in terms of this nodal, you know kinetic energy is in terms of US dot transpose MS, US as shown here, and this MS itself can be assembled in this form where each of these matrix is a 5 by 5 matrix consisting of 2 sub matrices, a 2 by 2 membrane matrix and a 3 by 3 bending matrix. So this assembled mass matrix now is the mass matrix for the so called facet shell element, similar arguments can be used for stiffness, we have strain energy contribution from membrane action and bending action, again the nodal degrees of freedom for US is same as what we use, what was mentioned for kinetic energy and KS is the shell element stiffness matrix and this again is written in this form, all these matrices are symmetric. Now, so we have now derived the mass and stiffness matrix for the facet shell element, now we will return to the problem of now the stiffened plate, so we will now try to construct a refined model where we include the membrane displacements of the plate in the analysis, the expression for energies will remain the same but the details of displacement will be different, see earlier we use UC as E theta Y, now we are including the membrane displacement, the two quantities shown in the red are the new terms, so consequently now the form of the Lagrangian will change now, so we need to now include these new terms, so this is the expression for kinetic energy, this is the expression for strain energy and these are the displacement fields in terms of W dou W by dou X, theta X and theta Y, so now if we consider the expression for kinetic energy you have to substitute this into this expression and rearrange the terms, I will get the expression for kinetic energy to be given by this, there are 4, 5 integrals now because of the cross terms and other things these new terms will be present, similarly strain energy will have 5 contributing terms, 4 contributing terms as shown here, and now the field variables are UVW, W theta X and so we have UVW, theta X, these are the field variables, so now we represent them in terms of interpolation functions and nodal values, first the membrane action U1, U2, these are the interpolation functions, so for bending action I have these degrees of freedom and I get the mass matrix for bending to be given by this, this is for the beam element, the B is for beam element and this is the elements for M11, M12 and M22 which appear in this matrix, so basically we are considering this Lagrangian made up of this and using these interpolation functions and constructing the solution. Chiffness matrix again given in this form U transpose KB, UB and this is assembled in a form K11, K12 and K22, each one is 5 by 5 matrix as shown here, K11, K12, K22, so all these details need to be worked out and I leave that as an exercise, this is K22. Now so far in the course we have focused on vibration problems and we started by discussing simple actually vibrating bar and then flexuring a given plane and 3 dimensional beam element and with that we constructed planar frames, grids, 3D frames and we have considered several aspects of vibration analysis including time integration methods and substructuring and model reduction and then we moved on to study of 2 dimensional elements, plane stress and plane strain elements and plate bending elements and we have seen today the facet shell element and the stiffen plate element. Now in the next part of module of this course we will take up a new topic that is related to stability of structures, later on after completing the discussion on stability we will return to problems of vibration analysis again and we will consider problems of finite element model updating and some issues about non-linear vibrations and some questions on combining numerical and experimental models in problems of you know finite element model updating as well as structural testing using hybrid simulation, so we will return to those topics after we address few issues related to stability of the structure. Now in the subject of stability of structures we basically consider certain states of the system which could be state of rest or state of periodic motion or it could be as well state of random motion, the idea here is we ask the question whether this what happens to these states if we perturb these states by a small perturbation. Now such perturbations can occur in engineering practice because of various reasons, so suppose these perturbations occur, because of this perturbation the response of the structure would change, now we say that these states are stable if the response to perturbation dies and original state is restored, if not if original state is not restored then if the motion grows without limits then we say that the state is unstable, the issue remains unresolved if motion neither grows nor decays we need to consider further you know approaches to analyze this type of problems. So in the next few lectures we will consider questions related to this and we will begin by considering some familiar problems like problems of beam column, suppose if you consider a simply supported beam carrying transverse load Q of X and also axial loads P, in absence of axial loads P we have studied how this structure vibrates how it displaces on and so forth, now the question we wish to consider is what would be the influence of simultaneous presence of transverse loads and axial loads like a P like this, we will be showing that there exists certain critical values of P for which a slightest transverse load will produce huge responses in the system, so the equilibrium state in the neighborhood of P being close to the value of those critical values is unstable in the sense a small perturbation will produce large responses. In there are two types of issues here, the new equilibrium position that the structure takes could be in the neighborhood of the original equilibrium position or we can have certain types of problems as schematically shown here, this is a problem where there are two rigid links hinged at these places and loaded as shown here, as the load P increases this point starts moving downwards and for a certain critical value of P after the structure displaces and reaches this point it will snap. So from this the equilibrium position in the neighborhood of somewhere here is unstable because a small perturbation pushes the response to a far away equilibrium position, so this phenomenon is known as snap through. Now in a structure that is loaded by external loads it is always a question that we should consider what would happen if there is a slight perturbations in the external loads, if the structure is in the neighborhood of being you know on the verge of losing its stability any slight perturbations will create dramatic increase in the response and that virtually means in engineering system the structure would fail, that is highly undesirable. So we would like to know how close we are to a critical state and in a good design we wish to be sufficiently far away from those states that is what we do in design of metal structures, so the question that we will be addressing is not so much on the phenomenological aspects of stability analysis but more specifically how to analyze problems of stability using finite element method, specifically we will be considering what is the role of imperfections in the structure, what is the role of interactions between imperfections and nonlinearities and if there are dynamic excitations, for example if this P and Q that I have shown here are depicted to be static loads here but they can as well be functions of time, suppose Q is a static load but P is a dynamic load, now we can show that for certain types of loads for example if P is something like P naught plus epsilon cos omega t, if it is a harmonic load then the structure can get into resonance even when this driving frequency capital omega need not coincide with any of the natural frequencies of the system, so these are not the traditional resonances but these are special types of resonances, parametric resonances, there are many systems in engineering practice where we get problems of this kind and problems of this kind are characterized by structural matrices which vary in time, so for these time varying structural matrices the questions on parametric excitations and stability of the structure also needs to be considered, so in the lectures to follow what we will do is we will first look at certain conceptual issues related to study of beam columns and we will be showing that the problem of determining critical loads can be tackled using again in Eigenvalue problem we will derive the elastic stiffness matrix and we will also derive a new matrix associated with the structure known as geometric stiffness matrix, so that an Eigenvalue analysis associated with those matrices will be able to help us to determine the critical axial loads, then we will consider built up structures like continuous beams and frames and so on and so forth which carry axial loads or lateral loads and so on and so forth. The question we will ask is for a given loading configuration, if the entire loading configuration is increased in its magnitude by keeping the relative values of loads at different places the same at what value of the increasing the parameter that increases the load alpha will the structure lose stability, so that type of questions we will consider and we will begin by addressing that type of problems for simple structures like single span beams and then generalize it to built up structures, so with this we will close the present lecture.


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आद जैदी भासु और रसिदान ताइनी हमार साथ हैं आपकोस तो तु फोमर प्लेयर्स तो तु पीपल यु देली लग कमें आप शोग फो तु हीर देर आनालिसेख रेनेदी सिंग और इश्वाख आमक पुची देर में आमार साथ जुडरें आपको द्रिबल करने के लिए कोन है, एकी आद में रही है है, बीच में क्लानेच लोरेंस, वो द्रिबल कर के लेग जाएगा, बाखी उन दिनो में कुब लोग बोलते थे, या क्या क्या खेल रहे है है, जीत तो रहे है, but they are playing one pass, long pass game, ये हो, आप बाभा प्लेयर पीच है, ज तो अगे तोलाष लेजाएगा, अगे तोलाष लेजाएगा, अगे तोलाष लेजाएगा, if you take the ball and if you try to keep it and you lose it immediately, then what is the fun? The ball will come back to your defense once it counter immediately. So that way what René D says, I agree with him one thing, even under pressure Bob Horton had a tactics, which I remember all these boys including René D used to keep up playing. I remember against Syria, in the Nehru ka final against Switzerland. They were which René D's of course code, a goal, I remember. So they were under so much pressure, so much pressure, but they never lost the tactics. It may be a simple tactics. I am not saying it was a great tactics or both, बहुत खमप्लिकेटर तुछ ठायसा नहीता, but they played according to the tactics and finally went over one the game. I think that is because Bob Horton made them train and practice in the same fashion again and again and again. So however they प्रेश्वीज्टीज्टीज्टीजटीज्टीज्टीज्टीज आना रीच रेनुतीज मैं रीच कर जागने सोदाजे आजे दिदा। Its saying after the repetitions that Bob Horton says every single day, attacking with the ball and coming back defending. So so then they repeat with each other. Under the game carrying the love of the history Success every single day attacking committee the ball and come back defending so so the major presentation it becomes automatic so so that that's why you know there was not much change they were 3 or 4-5 size protests in everything and when you change in a decay the new play coming in so when is acting tastes going to whatever the situation is whenever we are conceding you know we're we cannot just allow the यह जित जावन, और नेजज करता, नहीं भी और वेर्भन गेन थे जो प्रतोग, और और थेगद को और बऱन और याब, then that was in DNA for some players after 5 or 6 years, you know, that you need time and you have to work repetitions after repetations. देखो जी क्या है, जब फृट्बाल मैच के लेग वामव वोता है, तो अचसर फृट्बाल मैच का वामव वोता है, पंद्डरा से भीस मुआत. पवह पन्दी गरेमज में, हम सब को वार्मव करने किले लग गें, दाई. आप आई बजगे, मतलब आदा गंटा लगा वोर्मप में, क्योंकि आसली कहानी तो अप शुर वो ना अली है, पर यह सई यह यह, वोर्मप वोगाता ना आत्मी यहाँ बटक्टिक्स की बात है, तो हमने ना क्या करा? वो पहले एक कर लेते है, then we talk about this thing, because क्या है कि हमने आज पड़ाई करी है, आज नहीं कि बस मुथ हागे शोगरने आगे है, हमने पड़ाई करी है, हुवा क्या है, So we've got data of all the teams from 2014 to present day in the ISL and what were their starting formations. Understand this, what were the formations that they started with to go ahead. Because when you go ahead, you come back with the different formations. More often than not, your attack and defence formations are not the same. So rather than seeing all the teams in the ISL, what we did was we took a look at four teams. That being ATK, Kerala Blasters, FC Goa and Bengaluru FC and what their formations were like. And Rene Deeb Bhai, this were the findings that came up. Because the new tally, where was the maximum number of which tactics was used, the maximum number of times and so on and so forth. So if our lovely producer is listening, Sanaka can you play that first slide for everyone so then we can take it forward. Because there was one formation that stood out between these four teams over the seven seasons of the ISL. And that formation Rene Deeb Bhai was 4-2-3-1. It was used by Antonio Habas in ATK. It was used by FC Goa a lot. It was used maximum number of times by Sergio Loverra three seasons at FC Goa. It was used a lot at Bengaluru and also used quite a bit at Kerala Blasters. So Rene Deeb Bhai, what is the, my point is, what is the thing with this formation? Sanaka just hold it on that first slide only. Don't go back to that. 4-2-3-1, why has this formation you reckon been favoured the most in a league that's only seven years old? I think see 4-2-3-1 with Habas. I was under Habas if you see in Pune. But he couldn't succeed much in Habas like we said if you talk about individual qualities. So when you are playing 4-2-3-1, it may sound attacking but it is very defensive kind of thing. We all know Habas what type of football he plays. He plays counter-attacking game. He don't play all out. He waits, waits, waits and counter-attacks. So 4 and 2 is almost 2 will not, so 3 midfielder and one striker plays a very important role. But so if you see last year, the player was playing on the wing and the withdrawn striker and the top number 9, if you see that those are really, really fast. 4 and 2 will try and compact, stay, wait and 3 and 1 is the players who they concentrate on all out attack. If they don't defend much is also alright. But 4 defenders and 2 sitting midfielders have to defend and they don't have to go up all the time. So if you see first year, we played against, Kerala Blasters played against this system and then they won on the corner kick. But again with this, the same system was he was trying to play in Pune city because we didn't have those 3 attacking midfielders and one striker. There was no individual brilliant as much. I think Renédy has lost him but I think he will come back. 4-2-3-1 I kind of get it. 4-2-3-1 is kind of a formation that I have noticed that like Renédy was saying, a lot depends on the 3 and 1 upfront. Because I mean the formation is there and how you follow it. But once you reach attacking half, attacking third, then it's your individual brilliance, how you move, where you move. Then you don't stay according to structure. Then you try to break them down with your intelligence and what confidence you have on the team. As you see on board, on paper, everything looks very hunky-dory. Everything looks very nice but it depends whether your players can do it. And as Renédy said about Bob Horton, you will make it repeat and repeat and repeat. So the shape will never break up. So that is the thing with ISL teams. I think 4-2-3-1 is very fine but if you look at the success rate of the ISL teams, only those ISL teams have at least one or two, a couple of exceptionally good players, they have carried the team on their shoulder. Yeah but sir, ATK won with 4-2-3-1 two titles. Bengaluru 4-2-3-1 again they've got one title. So clearly there is something there. Lobhera despite not winning a title has stuck to 4-2-3-1 over the three years that he was in Goa. So clearly there is something in this formation and the makeup of the Indian and foreign players that these coaches are always adopting the style. That's what I'm trying to say. That could be one of the reasons because there is a difference between Indian and foreign players. I'm not talking about everyone but there are a lot of Indian players who are not tactically as good, not only tactically, even skillfully. Football is finally a game of skill. You have to hold the ball. As Joanne Cruyff said, it is not played with your leg but played with your brain. Joanne Cruyff once said. So it is like that only. So whenever these teams have succeeded even if with this same formation we were talking about you will notice these teams have a greater brand of players in their team. That's the reason they have succeeded. Even if you try with mediocre players if your foreign players are not up to the mark if your Indian players are not properly well trained then whatever formation you give it will be very difficult to succeed. This much I think. And if you ask me for the first at least out of the six ISL seasons first four years I was absolutely not impressed with the way their training went. You could watch from the game that their training is good but it's not as serious as a championship training should be. The intensity? Intensity, whatever people say like when it is like East Bengal and Monmagan in Calcutta there is a lot of intensity because you have to win. That was missing from most of the ISL team at least in the fast four seasons I thought and when they are allowed to watch 15 minutes of training and for different teams I am sorry to say I thought this training is not a championship training. This is just a training only. I am not sure. I have seen things have improved in the last couple of years. That's my feeling. I may be wrong also. Only one pre-match or match day intensity is less. At that stage you don't want to pick up any injuries unnecessarily. You are hoping by that stage already the players are trained enough. Siddharth, you know what Jaydeep is saying that the intensity of the league if you have to understand that Nesta can play 2-3 matches. So the intensity will not be there. Of course all due respect they are great players. They are already 35-37 years old so the intensity is going to be low. Now the ISL have started signing young players who can run. So now the big name players are not there but the good quality players are still there I can understand all the CEO or sports director are planning to sign all those young players young foreign players who can play in high intensity. So when it started yes I can understand for the marketing point of view they have to invite all those big players but the intensity that's what Jaydeep said the intensity has become better in the last 1-2 years or 3 years. I will explain to you. I thought at one point of time in the first 2-3 seasons I am talking about I thought what is going on is not serious. I have a feeling there is at least one player in the league team that time the league was there. They did not go to Gubnesha right by the time. One the league team there was a player who was an India player and I remember him running 30 years in the with the ball 30 years he ran down the ball. He walked so hard and then a 5 meter pass to Robert Carlos I thought this is football or what it is going on. Are they serious? Just because it is Robert Carlos what is going on? What is going on? What is going on? What is going on? I thought what is happening is not really serious. But it has become better now. I can understand Lumberg he played only 2 matches. In the last tournament. But Lumberg if you see Lumberg who was there playing for Arsenal great Arsenal player who has played because he got injured but then things are different now. It has become much more tougher, faster and much more tactical. That is what I said. Last couple of years it has improved. Absolutely. I think all three hours will be on the same picture. A clear indicator of how intense your training is is how your 90 minutes turn out on match day. It is a known fact. Whatever you do, your 90 minutes on match day the intensity you play is on the result of the intensity you are putting down in repetitions of training. Let's put leads. You saw the intensity you were putting in yesterday. So if we come back to Arjun Pandit's question I feel Sergio Lovera the way they have played under him Goa I think they have played the most beautiful football if you see in ISL. Sanika could you play the Lovera this thing please. If we see the game a player like Jackie Chan who is in and out of Indian team who was in Mumbai city who was with us in Pune city but he couldn't come out with his best performance if you see but then see the same against when he played under Sergio Lovera. So if you see the way Jackie Chan has played under Sergio Lovera he was a different player. So now we must give credit to him for the way he have let the Indian players and the mixture of foreign players perform. He playing from the back high pricing football and possession game. So this is something I want to see more but it will be nice to see he has joined Mumbai city and it will be great but then the players he will not get all the players he could retain some of the players over there but a player like Jackie who assigned for Jamshedpur FC I feel I don't know if he can produce the same kind of I'm not doubting on this but then I don't know if he can play the same kind of give the same kind of performance what he has given for Goa FC. So yes players there are some players under that system it works but yes I really love the way when Sergio Lovera was there when Goa was playing. Annie Bhai I'll tell you what the beauty of a coach the consistency of the formations tell you how set you are with the team you want now in 2017 when Lovera came in it is pretty obvious he was not still set as in he wasn't 100% sure with the team that he had so he's gone 4-3-3 he's gone 4-4-1-1 he's gone 4-4-4-1-4-1 as well and he's done 4-2-3-1 then come the second season 2018-2019 his players are here sir 2018 and 2019 he has only gone 4-2-3-1 4-2-3-1 only one odd matches he's gone to 4-4-2 or 4-5-1 and therein lies the beauty of this it's the consistency of the coach his ethos translates into the players he gets and thereby the finished product comes out in the 90 minutes and almost the IT person of the players will be there first to transition period it takes time like you said in second year it was boom it was sowing in the ground whatever they have been doing for the last 1-1-1.5 year it was sowing in the ground but then if you go to the Europe and there are some you know German league is very tactical if you see that way if you talk about the German coach in PSG they change the tactics in the game 2 or 3 times in the game you know they change the forms they start with 4-1-4-1 they will go to 4-3-3 and it keeps changing so it's very very difficult we talk about Julian Nagelsmann he is very he is so famous for changing tactics when he was working in Hoffenheim Hoffenheim came to India also but he didn't come but so those are the coaches and German coaches especially they keep changing and we have 4-4-2 Diago Simone who play compact whatever he will not change the formers and he will just stay intact 4-4-2 defense and go on counter attack so there is pros and cons of that some coaches they keep changing so it's confusing just imagine if you are playing against Julian Nagelsmann or the coach or against PSG who keep changing tactics so I think we come back a bit to what kind of teams you have and so many different factors come into play how long the coach has been at a particular club has he or she been able to put together the kind of team that they want how much freedom he is given you know and then what is the level of tactical awareness of your players that you can during the game based on match situations I am sure that even a guy like 2K or whoever it might be at PSG or whatever they will when you are doing tactical sessions with your squad you will have one tactic that might be your bottom or your starting tactic based on match situations you will have a couple of variations that will also be trained and the players will become over the pre-season they will become very adapted understanding automatically match situation how to adjust our mentality our formation our shape how fluid, how rigid, how compact how wide so the level of like rightly of course how the level of repetition the level of confidence that the players have in the coach and likewise the coach has in the player so that indicates for that management has to give enough time to the coach but we see in current football world not many coaches have time in that 2 or 3 months they have to show their game that is why you are paying millions and millions of dollars for the great players so if we take out from Calcutta they were a champion so if we take out the 2 players from New Zealand who is a striker so do you think they can play the same style of football Sanika can we play that slide of Habas which is the one where he is saying that so basically in Habas we found now see there is no doubt he is the most successful coach in the ISL he has won 2 ISL titles he is the semi-finals once in the first 2 seasons when they won the title in 2014 and then of course came in the semi-finals in the second season it was pretty much 4-2-3-1 I think in the first season no one knew what they were doing nobody knew what was happening in the first season a new thing is coming but by the second season you saw 4-2-3-1 he sat then Bhat Bhanini came with you at Tune and then came last season where they were using mostly 3-5-2 to win that second 2nd ISL title and mostly 3-5-2 going forward but turning into 5-3-2 in defence yes so 3-5-2 going forward is where your 2 side backs are helping the attacking system but then most of the time you will see it's 5-3-2 so when you are playing it's more of a defensive kind of thing of course it sounds good but most of the time you see it's 5-3-2 and you are only depending on those 4 players upfront and we have seen that how dependent they are on those players from the 2 New Zealand players so it boils down to the individual players again what Jaydeep was talking about so if you don't have this individual brilliance whatever if you take Koro out from or Jahu out from Koro out from Goa FC I don't know if that formation will work so first of all we have to give enough time and then individual brilliance and if you don't have individual brilliance you have to stay compact and defend and then go on counter and you cannot do anything so if Abbas was such a really really good coach without the individual brilliance Pune would have succeeded because he played the same style and that was not a beautiful game but last year I think that we have to give credit to the New Zealand players Krishna Krishna if you take out Krishna and I don't know how many games they are going to win Krishna and Williams if you take out those 2 players from the same player I don't know how many games they are going to win so it all comes down so individual brilliance is important to make work the system Jaydeep sir you were talking about intensity when you talk about intensity in the ISL here is probably one of the most intense coaches I might be wrong because of his theatrics and whatever he is showing on the touch line and everything and I have been on the touch line a lot of times during the ISL so I am seeing it first hand but how intense would you say is Antonio Abbas have you gone to any of his training sessions in those first 2 seasons I have been he is a good coach and he is an intense coach and he knows which player to play that I must because when the same team went to Teresharingham we saw what happened but he is also lucky to have players see one thing already being himself a coach will go you have to tell the coach what you want you want to win championship or you want to stay in the first 4 so that you can go for the European Championship you can go to Europe or you say even if we don't finish in the first 4 let us finish in the first 8 so that our team can go to Europe in the Europe Cup we can go or you tell them this time that this is the project this way we should go and let us be in the middle of the table so intensity comes from what you have to offer on the table to the coach see Abbas has been very very lucky we know it very well that ATK is one of the biggest spenders of the league this is there is no doubt about it you are saying are you saying that they are only spending 16.5 CR salary gaps see I will not answer to this I may be liable to but yeah go on so when it is I think Abbas is also part of the system where he has been given a team to win the championship yeah yeah send Abbas to northeast send Abbas to northeast and give him a team of what John Abraham has to give him I will see I am not against him I have nothing against him he is a good coach but he will not be able to produce the same result so it all comes down to budget what Jedebda said first we have to see how much money we can spend so if you can spend 2 CR what we have heard last sunday last sunday we were talking if you can spend 2 CR on an Indian player see how much they must be spending on a foreign player so Abbas have a very good experience good coach working in South Africa working for Valencia working as academy technical director knowledge wise he has got he has seen and he was a good player in Spanish league also he played in high level yes he has big but so we have to see that the big spender is a very big spender and if he was working for some team like northeast FC will he be able to produce the same so if we talk about that there is a big poison mark again but again after having the money I can understand you have to choose the right players also which he have done and he succeed if I can at this point so let me just I know we are talking about ISL tactics informations but I think maybe this is of interest to people who are watching when it comes to the top league of the country of course winning and losing matters a lot and then all of these factors come into play perhaps far more than the football and the tactics by themselves so when you are at an academy side like now you are with classic football academy and there are no sort of there is no in the sense the results don't matter right now you are concentrating on the process and you are concentrating on teaching the kids so when you do tactical sessions with your under 12s under 14s under 18s what are the kind of things that you are looking at training them in and what are the sort of when you play those games you play against senior sides as well money for league sides so how does that translate when you go on to the pitch so now all I want from my under 13, 8, 15 and 18 is we play the same style of the game so whatever the repetitions after repetitions of course we do the warming up differently but after warming up and passing drill when we do a tactical session it's almost the same kind of thing every single day because it will not happen for this kids in one year of humans it has to have three or four years so and then after four or five years it becomes automatic but then to play the style of game which we all want to see or which we all see in the English Premier League or Spanish League you have to have you need to have top class technique and after that you can at one strength speed and all those kind of thing so but now what I am all focusing on is playing good football but at the same time sometimes we have to make the kid understand that sometimes you have to win ugly sometimes if we play with a better opponent how do we defend how do we play as a match so if we play a better opponent and we see Liverpool and we see Leeds United and we go all out attack we can see 10 goals so then we have to make the kid understand that see when we play a better game we need to know how good are we and if you are not good enough to play compact so we have to teach the kid to play in all kind of situations like we are talking about changing three different system in one game so to get that adaption going I think you need years and years of training and then not training the kids but then training the coaches when you are working in the academy those 10-15 coaches having the same mind meeting every day talking about it is so important मैं आप लों को एक बेंगलूरु का एक finding the katham if you could just play the Bengaluru slide right now so the one good thing I have seen from Bengaluru is that when Albert Rocha came in that first season in the ISL and of course they didn't quite win the title I think they lost in the final in that first season of the ISL that season Karles Quadrat was there with him right he was there as his assistant coach then came the next season when Albert Rocha was not part of the ISL and so Karles Quadrat took over and here is you know it's a smart move because you pretty much the makeup of your team is remaining the same so Karles Quadrat did what why would I change the formation and stamp my own authority when something has worked for you the season before you've reached the semi-finals he's continued with 4-2-3-1 and as a result of that in their second season in the ISL Bengaluru went and won the ISL crown that's a smart decision and for that I feel a lot of that decision making and applauded for that decision making has to go with the management that there is a certain sense of understanding of football within the management that if there is a new person then you don't have to say that change the game if your player is the same and he is a good player not that your player is not able to play in your field if you have the same kind of players then work the system that they are most familiar to and it becomes easier for you as a coach then yeah I think he is a very smart coach Albert Rocha is the one who got him to Bengaluru as an assistant and when an assistant becomes a boss I think you have seen that these players day in day out working months and months so why would I change the formation you know it will take a longer period and football like we said we want as soon as possible we need results so if you continue the same and he got the result like you said so it's a very smart move from him but if you talk about tactical if you talk about formation when they play when Bengaluru played against Goa it was beautiful to see Goa high pressing and they didn't do high pressing players like Sunil coming back and defending and going on counter attack according to their abilities but we must give credit to him also for a smart move not changing too much when players are already adapted to one system why you change so much fair enough there is one more Albert Rocha is the same coach who is now a physical trainer he was with Hyderabad FC and he left a month and a half before the season all the best to Hyderabad FC for the new edition of the ISL I have got some comments coming in because in the last show I didn't take too many comments and apologies I didn't take too many comments Ditya Narayan is saying hey guys no notification whatsoever this is an old story this is a fight with YouTube you will take this fight with YouTube and you will change the formation you come every week you know on Sunday what should be the notification put a alarm on your phone come it's on your heart they are enjoying enjoying we are enjoying okay then Sankalpa Chatterjee good afternoon brother which style and tactics suits the Indian players I think we have spoken about it you have got to be a little more pragmatic and figure out which players you have on the field Ditya Narayan is saying we will talk about them in a coming episode possibly closer to the second division then it will be easier and there will be more context to it Rohit Singh is saying BS strategy is playing is the best best combination of defence and attack Sanjay Murmu is saying hello guys good afternoon I love these episodes keep going on thank you for that Siddhi Jihar is saying hi Pandit Siddhanth forget about Katar watch out for under 16 batch there another level again once the under 16s will be playing in the under 16s in the under 16s in the under 16s in the under 16s in the under 16s in the under 16s in the under 16s in the under 16s under 16s will be playing in the Asian level we will talk about them closer its cancelled that's cancelled so we will talk next year nothing before next year I hope that answers your question so we will talk about them closer to the event Gaurabh Kanika is saying its not nice to see that akshad Patela is saying रोहित मोरे सेंग, लीज़ वर अमेजग, रोहित मोरे सेंग, अर्जुन भाई स्तार्ट फोट्विन्ती ग्राम्स्, FPL लीग, कोई खेलता है यापे FPL के आपे, FPL का क्या अबई, what is FPL? आप एक दो तीम तीमे देखते हैं, बाखी लीग को आप काईन अप, because there is so much FPL going on, as of now only the premier league is going on, so we can focus on, we only have that to watch, but generally when the season in Europe starts, all of a sudden you have every country 10 different leagues are going on, they are all on television, so you don't know who to follow, what to follow. बागाईन देखते बाई, हाँ सब आप आप में उपसे. So I think collectively we are all too old for this fantasy business. आपने कोना सुत नहीं करता है, our time is saying hello guys, hello sir, back to you. जिन्मो शेखर दद्ता सें, what do you think of Holi Charim Naziri in the left mid left wing position for the national team and the tactics of steam agility. भाईटें करर मेहती काक वेएं। MALaj, how do you think Holi Charim is a guy who can run a lot, who fights for 90 minutes, but then i will be happy if he can improve his technique because see now Holi Charim know when we are playing against a team like Ka Thara. I think we need Holi Charim who can run up and down fight-defence compact, but when we are playing against Bangladesh, I think अगर नहीं और � tom that's the technical director from Goa. और इआश्च दधक। yar. So Indian tactical the only thing is give them a chance दब आश्चि शो थी लागे. Seen if they are good enough अइ तो थी आश्चिखा सब ख़े से कोचि हीना सब कोची को रँस में. इस्ची यहावा को प्लो होत खर्जान सब ख़े सब च्यावा जागे वो दे. గన రాఱరింి రిగిలూ పిరెవనాసి నంటాపి వతింవామాదింత్లిలానాంల్. खुर ब्र में ज़ाईगाziękuję मैं विज़ाँ कोईज्टा के रही हैं. जयु जैदीः, पहुट थिम मिले, विम कोऊमिन्स के ज़ो अरा थ्हा दी आना ती के नहींन, फैर उो आदरतीः मैं भीजों कोऊमिन्स अचद्ख्ल ताक्सिक्ल् ृ ृ ूआूएु Hollowision these days in New York and the United States ृ ृ ूऒच्विधूएू ृ ूऒच्विधूए। ृ ूओच्विधूए। ृ ृ ुआु ुटूरॗृ ै ौः ुओ। ौआ। ॒च्विधूए। ृ ूओ। ृ ुछूए। खेल है... ठु वे सींबन खेलके मेनने ब days of court. रहनाants यहा, व siinä चश किपका हॉक्चcekt ब भी एत बाग vice. Ch كل तुसी बाग को मेरी खेलली ताए, में मुत्स ँतुगा, आईंग creek ड़ाशयी आईघ लेक ऱबाख ग़गे आगी? मpoundा, library, library, library the math should start from the back, the right back of the left back start the game and finish at the box. भी बोँ, ठेदिब शाएन सेदिब दो, परबाजने सेदिएते आते, वो खाँझी थाद. जाडिब दो, ओलने कार चाला वाजने कर सक जाडिब था वी, ढ़िप दो ती हे आप चाहरा हो रँफ छिक. मुटक्र आपनी कुछ at, after he left. So if I was coming back, if I was in within the women's government... Hollen has got very strict tactical 433, who always did philosophy. उसो भ acoustics, you don't have to see now! I think I'll be smart enough. Soís seen that the same players who have been working for 6 years, and in a few months can I dance? And if that doesnít work, if my job isnít working, if that doesnít work, then I am done. आप भी प्रफाश दूपजिः सेशन की अवगा। प्रसमछ वागा। मैं अपने को थी हो बतका हो गगर भिरुतुदुई आप अपने कोया। वो वो वो उस्वर देएगा। होगा विरुतुछा विरुतुगा। यह सब बात हो रही है, बआत आप जब नश्टरीं तीम मदद, मेभी यह सब विम्स फिलोसरभी अप शाटीं गेम अद बाख यह नेदेगेद आद the box is something that he could have employed if he were training the juniors, if he were working with the under-16, under-19s, but when you are at the senior team level who have already spent so much time, यह तो आप नहीं आरे हैं, after many years, so you are trying to do something, you are trying to do something, you are trying to do something, you are trying to establish a rapport with the players, there are so many things going on off the pitch that also feed into what finally translates into your team and its results, so you are trying to come in and influence the dressing room that is already unsure, you are trying to do it from a theoretical and philosophical background that is Dutch, that is very different from maybe if he took over as India's hockey coach, he could have had a more stronger impact playing those kind of tactics that he was trying to employ with the football team, you know, but it is a very good point, Siddharth, what Siddhanth had said, for the formation he should have tried with the young ones under-16, under-18, to get that formation going because there is not much pressure there, or you can talk to all the under-17, 15 or 18 coaches that this is what I want slowly, slowly make them aware and then senior, you know, you have to do it in the right time, in the right manner, but the only thing is when you are going for a war and your weapon, if you don't have a good weapon, you don't, so you fight according to your weapon, as easy as that, you know, formation we want to change, we want to have our style. See basic performance, basic problem was he came up with a idea, we came up with a formation and a philosophy which he tried to thrust down the, force down the throat of others, that's what I thought, that is, see Bob I remember, Bob first three, four men, he only watched, he only watched and Bob was one coach, I don't think even an Indian coach could do it, he used to remember all 80, 90 players in the I-League, even one boy from Arunachal Pradesh, he has played two matches for, two matches for maybe from, for Salgaonkar, one boy from Meghalaya, his name is most difficult to pronounce, but Bob will know, Bob will say that player, he has a good left, amazing quality Bob had, he knew, he didn't know Indian players, I'm not saying he knew 20 Indian players, 20 in the national team, he knew all the 100 players who are playing on the, playing on the, in the I-League, so what happened, Bob watched those 100 players, he judged their ability and then 15 his philosophy and came up with system and philosophy and everything, he first judged what his players can do, what they can deliver, that's all, yeah that's very true, that's very true, I'm not, not to defend, whim too much or anything, but obviously when you come in as the head coach of a senior national team, you expect there to be some kind of lowest common denominator, right, now in India that situation may or may not be true, so and and it's not the fault, it's nobody's fault, it's not the players fault, it's not, it's just how things are, you know and and perhaps and that's why the India job is not a job that that I think many coaches around the world are eager to get their hands on, it's a very challenging situation to come into, it's a very difficult job to do because especially in the regional despite everything you're you're still expected to win, you know, so see I I will I will little bit dispute here Siddhant, India job is one job, lots of coaches all over the world in one set, there is one more, there is a reason behind it also, in football all over the world there are hundreds hundreds of places who have a very good team, but their federation is not in a not in a position to pay you in time, it's a it's a it's a fact, but India is one of the few countries where the coach will get his salary credited to his account on the first of every month, there are a lot of places who are very good team, very good team, very talented players but but the the financial position of the federation may not be as good as any other other other federation mother like some other federation is, so they do want to come but as Siddhant said they want to force down the philosophy through our throat, I mean we like like I think you guys were bringing up earlier, we saw with Ego's team match and the national team, they are also when we were there for their opening press conference and the kind of conversation they were having about what how they wanted to play football and how they wanted all the teams across the age groups leading up to the senior team and the women's team and all of that, everyone to play a certain kind of football, but unfortunately you realize that that may or may not be possible because of what is the reality on the ground, what are the players you have, what is the pool of players that you have to work with and on all of those things and when I said it's not a job that a lot of coaches want to take, I don't mean of course it's a great job and if I think any of us who offered the job we would be hard pressed to say no to it, no doubt financial or no financial but what I mean is it's definitely a challenging job to come in with a with any kind of ideas and then try and so when a coach is interviewing for a particular position especially as a foreign coach who has little or no on-ground experience of Indian football or how football is in India, you might have all kinds of ideas of the kind of things you want to do but unless you are starting at a very basic level I think there are huge obstacles in the way of trying to translate those ideas those philosophies into actually actually having an impact on the pitch with your permission I will ask Venedi one question no sir please please please please please after after one year Venedi are you sure of first 14 players oh good question yeah I think it's a that I think it's a big challenge for him you know he's still looking at the right combination and we need to give more time you know more because India is not as such where you play two matches in a week everywhere you know for for nine months where coach can travel or the assistant can travel and and and see how the players are to get the right combination it's it's very difficult for him yes I know he's still finding that that that masala you know but but it takes time and I think he's not getting enough time enough time with the players you know we we now the pandemic is not helping as well yeah pandemic yeah tell me tell me tell me tell me tell me one thing Venedi in that case from your own experience you tell me yeah yeah since you are there how did bob manages first 14 within a year first 14 because so now everyone was against this idea but very few people were supporting when we were out for nine months traveling around europe traveling around asia playing the same so we could train every single day for months and months we were in in sporting lisbon you were like a team only you were like a team we were we were yeah yes brother we were in in sporting lisbon training for two months playing matches every weekend with the with the local club who is in second division third division over there and and that's the process but I don't know if if we can give enough time to to stomach to to get that I think bob has been very adamant what he knows whatever he wants him he have seen that in korea also korea is such a great team right I think they want korea also we're traveling korean team we're traveling for nine months together not playing in any club and then it's the same that is done in switzerland also I've heard so there are few countries you can do it but I don't know kathar also did it so without playing so that you you develop that understanding you know we talk about all this formation coming now you know until and unless you develop that you don't gel you know only meeting for two days or three days before the before the tournament and not enough and we haven't reached that space yet sir I think Renédie Bhai's 2011 Asian Cup team which is that is not possible now with the national team players because ISL will say that if you are taking the best 20 players of India for nine months then what will happen to our league at that time possibly the hero i-league did not have that much of a same India is playing at the 2011 Asian Cup so we need to prepare a team because we're going there after so long yeah we love together with australia south korea and so on so i think you know that balance has shifted but now if you say India is going to play the next Asian Cup you give me this team i will take 25 players all over europe then you see he will put his philosophy inside because then like bob howton is in your of the field on the field non-stop in front of you but that is not reality bhai my point is that absolutely absolutely and in the long run i mean you can do it once you can do it twice like like even the other examples of other countries have done it like Renédie was mentioning you can do it twice but you can't sustain it you can't say that your national team will be different from everyone like it happens in hockey like because there's no league structure in india right whatever the competitions are they are either institutional competitions or whatever club competitions are very few so the top 30 40 50 players remain in a national camp through the year you know that's a much later yeah i know what you're saying he identified in india only yeah so 2008 they won the won the uh what do you call the tournament afc challenge cup without without getting into this only that was qualified for the yeah that's only qualified then because because you have to let the level of the afc challenge cup and the afc cup main draw is completely different so in order to make that jump up in a short period when you don't have a robust enough domestic structure which we all know is an issue so at that point the i-league might have been okay to admit that okay we are not there yet so in order for a larger national interest we are okay to give let these players and also you have to then also understand that for from the perspective of i-league club owners at the time these are the top earning football players in the country whose salaries for one year are being taken over by the all india football federation well what i mean what i mean to say but by 2008 2009 the first 14 of bob has already been selected mish too had already come into the team anwar had already come into the team mish too has already has replaced already sandeep into into the goal so team was more or less built by that time that is what i want to say what bob outen what bob outen has done is you know when see anwar a player like anwar a player like gurpreet i've said this before also yeah so he see the player while you are while you have this it in proper it in our training and then he used to invite the players who he won like three four players he will invite just for the camp so gurpreet used to come and go never selected for the for the first 18 or 20 and even anwar he came twice before getting selected so he used to have to to adapt the system he used to train with us for months and months and he used to go back after 15 days he will go back and come back you know so so that's how he he's very sensible bob that way he's by far you know i feel the the way he he controlled the whole team i think it's we we could learn a lot and i'm really happy that i could play six years under him this is for anyone uh aditya vijay kumar is putting a good question just because it's pertaining to the topic we're talking about right now do you think egos team match is pulling for wanting to get pio players in his squad because he feels he would not get enough time to train and develop a team tactically going forward so thereby you're getting players from a league where they're tactically sound already yeah so the work on them needs is a lot lesser than you know what you would probably have to do so for me a hypothetical yeah yeah no no that are you going after after you yeah i i what what i want to say this is the absolutely hypothetical question because it will never happen the government who doesn't doesn't doesn't know but but he's he's just he's just questioning the motives of why he's pulling for a pio player he's done so he's he's he's he will see he wants quick result i think the the the two draws again against vangladeshan of kanistan has really devastated him it has it has destroyed his all all his planning he had plans in his mind but his plans have been completely destroyed by this two draw now you tell me arjun one thing i will ask the needy also the same thing if india doesn't qualify for the asia cup 2023 asia cup then what will happen to our domestic food domestic football in the next two years even if you bring pele and maladona in isl yeah it will it will it will it will completely get lost isn't it so dada has already replied to that question that uh key you know government is not going to allow in case if government allows my point is like when we we need creative we need individual brilliance to win at this current time you know and we we when we talk about a long term we have got enough young player working hard to be the best yes but if if we want to win right now if there is a good pio who can change the game bring in let him play get a win get qualified you know if the government allows that is if the government allows so now even pio also you just don't tell him straight away that you know or we are going to select you just see him 15 20 days bring him twice and twice and when you know correctly when you know that he's sure is good select him and let him play if he's a really creative good quality players we need quality players to break down against bangladesh to break down against smaller teams who play compact and we don't have that creative players we have we do have few uh guys i think hemil makwama may be very extremely just keeping in mind with the conversations the guy short term solution happy io i think all of us agree yeah with that there is a short term solution there has to be some kind of uh something that comes to the aid of both the national team as well as the coaches as well as everyone in the short run to help because like we were talking when bhaichung had come really by that unless the national team results are dramatically better the interest in the domestic league and everything everything follows from that and when we see results it's not just about qualifying for the the the asian cup it's also about when we get to the asian cup what we do there you know to to make sure that we are in the top six top eight of of asia if that is the that is the goal that's not going to happen in the short run or even in the long run without some without these great individual talents there are very few teams like even a team like iceland you might say that their strength is in playing as a unit and all of that but there are standout you you saw what happened i mean okay they did they did remarkably well against england in the recent nation's cup game without four or five of the top players but you see how much of a difference those those individual talents make and and without that you see now it's again it all comes down to you know how good our our youth system is right and then coming back to that question now bob howton tried when we were in in in dubai for four months training bob howton invited michael chopra michael chopra was in new castle and and and and uh few other teams uh southampton uh then he and yeah he was at cardiff at the time cardiff is a legend of cardiff yes but then in primarily he was in uh southampton and new castle so bob howton in bob howton knew that we need one great individual striker who can who can score goals and he have seen that chopra fits that position really well so he invited chopra uh he has chopra have seen the match but like dada said government didn't allow so government so so it would have been a great great thing if chopra could have played in in prime of chopra we are not talking about chopra when he came but then in those days he was playing really good he could have helped us uh getting better results you know and and yes for short term we we could we should do that because now we need players we don't have enough players to create but in long term youth system in long term youth system proper youth system is the only way by proper youth system of the keep where young players are getting a chance to play 40 50 games a season yes there is no other alternative to building a strong national team proper proper my my when i say proper youth system doesn't mean that you know they get a five star they get a only thing good thing to eat good way a good place to stay no but i want platform for them where they can play competitive matches youth league for eight nine months and that's the only way that's the uh i think we have done it for one and a half hour first of all the youth who are commenting on youtube and brother i am saying that we are building our own we are building consistently we are building i have taken the name of a lot of people today i have also taken the questions of you today so i hope you guys are satisfied but we are going to close the show a little bit because we have started the nfl id then we went into the main topic of the show which is the isl and we spoke at length about it and then somehow we drifted towards the national team but it is it is connected so it is only obvious that you talk about the national team i'm going to end the chat with one one question for everyone i think he wants to say something no before this what i like about you know if i was watching this you know if i was not as a as a football expert or a football player you know what what what i like about this show is that you know it doesn't stay on today we are talking we were supposed to talk about tactical issue but then according to the to the viewers who are watching we are trying to you know it's like we are we are having a chat with them you know and that's the best thing about you know it's not like oh we are talking whatever the the viewers is saying we don't we don't try and you know responsible but we are trying to do we are trying to do that and it's just a a nicely nice chat with conversation with with everyone and it's it's lovely i i feel so it's sanika our producer please clip this this clip will be played for the next one week by rendi saying on news click sports instagram page to promote the show also you all are saying notifications are not coming brother leave the notification of youtube on instagram follow the news click sports and there you will get to know one day before or two days before you will get to know that when is your show coming what are you talking about who is the character of that show so i'm i'm ending it rendi i'll start with you looking forward to season seven fc goa has a new spanish coach and i think they've understood the fact that what they had with know better they want to continue somewhat on the same lens but not exactly the same thing so they want to continue with possession brand of football because they built that over the last three years and the public likes it so they wouldn't want to change it so much mumbai city fc now has go better so he's they are going to try doing what he's doing in goa because he's getting those players from goa like boomu like jack who there's mandar who's going there then you have bangalore fc you have habas who still have roy krishna and villiams of these teams are you really looking forward to tactically as a coach to watch what they will do on the field this season so now habas will go the habas have you know retained the whole whole the core system so habas the team will still be strong and and goa is going through a transition even though they have a very good assistant clifford miranda you know who who has been you know working under under lobera and who understand the system really well even direct para who is a technical director so their support system it's good over there even though having a good support system also i feel they are they are going through a transition so so it they will they will take little time i think but the the best even even bangalore the core is the same so bangalore and and and atk they will they will they will do well i feel because they are there at retain the same but striker striker bangalore striker was a problem for last two years i think it has been sunil is playing on the left as a left wing but striker was a problem last year striker will still be a problem if they are lucky enough they will get it but bombe a bit such great signing let's see what what we know that that's the i'm really looking forward to see how if they can really perform what they have done lobera and his party i have done in goa if they can repeat the same but i think it will take time but bangalore and and atk i think they have retained the core so they will they will still do well jadeep sir as someone who's been following football through its very different phases and here we are in current phase right i won't say anything more about it just current phase are you happy that now there is a team like mumbai there is a team like goa there is bangalore who are a little more pragmatic but a lot of these teams are focusing on possession-based football which is thereby technically making your indian player better in the long run maybe not at the time but karkar ke karkar ke that repetition of wanting to play will eventually make them better see if you are serious then everything will make you richer if they are serious and these people look serious so i i hope they they things will be but this season i will only look forward to havers what does it do because he has got the play ha he has got the players he has got for the kind of pressure this time he will be under how much he is able to take it i will i will have a look at it because previously even if you lose as one point or three points it does matter but it doesn't matter beyond a point but now as rennedy knows rennedy has donned the jersey of both the teams that playing there as a coach working there as a coach on the sideline is not going to be an easy job even if he has the best team in the country with him so it will it will either either make a look how about the best coach in the country or i am sorry to say it might be it might be other way round out so i will have a look at etiquette moment this time and how the fair because this is the first time a team will be complaining in the isl under real pressure to what pressure means yeah any buy any buy aji our predictions though uh northeast united sir please my brother is a coach so absolutely no disrespect to any coaches but but it's not we talk about even yesterday's look we're going back to liverpool leagues for a second we talk about clock versus bn sir but it is very much also down to the 22 players plus the bench of course but the 22 players that are on the pitch you know so so so coach ke doh matlab patte show hona ya nahi hona a lot of it is also very much dependent on how the players are able to understand adapt and take advantage or not of whatever system the coach is trying to play sure sorted sorted guys once again thank you so much for joining us acha bhai can we give them the big reveal who's joining us next sunday and this next week is going to be who's week apply show samjho bhai jaisa aaf ko thik leh aasai jawano dekho jo abhi thak chodeke chale ya nahi jo main ka ki hum lo yaha se jaare hain to sorry but yeh dekh leh nahi 71 people watching next sunday we're going to be joined by the captain of the indian football team sunil chhetri he's going to be joining us live at 2 pm rendi bhai aapko nidhi patata yeh aapko nidhi bhai saa sir hum le hum le aag hai hum to sunil is joining us next sunday at 2 pm rendi bhai will be there and of course aap dono ek saath hoge to matlab show pe mazai aega we're going to talk about the things indian football and you know it's the first time that sunil will be joining us on the show so that's not true i mean in this format maybe in this format he hasn't joined us yeah in this format you've done an interview with him at his house in bangalore but sunil will be coming next sunday at 2 pm so spread the word to all the people you know and make sure you join us live because what will happen is of course we will have this conversation with sunil any and i will try to of course aap na hum lo yaha sab lo footage khani ki try karenge but eventually aap jo sawal youtube pet hoge we will try taking them to your captain your leader and your legend and it's not just that the build up to sunil so in a sense this is for 20 grams is sunil chhetri week building up to sunday how kyunki dekho hi kya hohtha hai kabi kabi na bhaigwaan kya kartha hai ki kuch galat kaam se acha kaam bhi nikalata hai wo kese wo aise hoa ki bhohot pehle jab sunil chhetri sahab ne 15 saal complete kye the to main a siddhant ne aur renadi bhai ne sunil ke tactical evolution pe ek show kiya tha aur wo show gaya 1 ganta 48 minute aur main a poora show suna aur main abne bhai ko bola bhai isme katne lai kuch hai nahi show pe jaydeep sir bhi hai jo ne kuch bhai bhai tari hiin yaha pe insight thi hai from the great sukhwinder singh to hum ne kya karthi hai humne kya kya in the build up to that sunday show we will be running a two part episode on the tactical evolution of sunil chhetri the first one will be coming your way on tuesday bhai right yes first one will be coming your way this tuesday and then the second part will be coming on thursday so this tuesday we will be talking about his time in mohan bakhan we will be talking about his time in jct and of course and the indian team around that time and in the second part we will be talking about sunil chhetri when he goes abroad and then after that when he comes back the player that he is for bangalore ufc and also the player that he is right now for the national team so make sure you follow us on news click sports on instagram you will get notifications on when that show was coming but yad rakhna dekuti sunil chhetri bhi hai tuesday go part one thursday go part two or sunday go live live maare mazada yaha bhai show so we hope you enjoy i hope you guys are gonna follow it and spread it to everyone man because you know first time sunil is coming on our show rhanity bhai has been with him you know he knows him so closely and they know each other his players and friends so conversation with hoda mazada aane wala thori tadke toh hum mai aur sadhan toh dalenge nahi absolutely and i think that that is the key difference here it's not it's not that you know sunil is all over the place he's got his own hundreds of thousands of followers on instagram and stuff like that he's doing a little bit of interviews with famous people virat koli and all these guys so so he's very much out there but but there are i think very few places where where people fans like us get the opportunity to have a guy like sunil who's a current international and captain of the national team but also alongside someone like rhanity who has known him since he was a chubby 17 year old 18 year old you know who landed up from delhi with his baggy jeans in the delhi boy that is a rising that is the theme of these two shows delhi boys yeah so so it's a rhanity these guys bring the magic we are exactly we are only going to do yeah rhanity one thing to tell you rhanity who was the goal in the asia cup aisha aisha cup what's inside the bar but then strikers want a goal sunil wants to give his little brother but this is the difference between the delhi ones they know it by sir so basically the theme of the show is delhi boys versus rhanity sing yeah definitely the show first this is sunday अगम भी पा में सुनिल सेत्री स्वोड़ आगया अगम भी आगया