Free online beam calculator for generating the reactions, calculating the deflection of a steel or wood beam, drawing the shear and moment diagrams for the beam. This is the free version of our full SkyCiv Beam Software. This can be accessed under any of our Paid Accounts, which also includes a full structural analysis software After a shear force has been applied to the object, measure the deformation. Finally, calculate the shear strain. Calculate the shear strain by dividing the deformation by the original length. FAQ. What is shear strain? Shear strain is a type of strain that is caused by a shear force or shear stress In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is defined as the ratio of shear stress to the shear strain. The shear modulus is one of several quantities for measuring the stiffness of materials and describes the material's response to shear stress. The shear modulus is concerned with the deformation of a solid when it experiences a force.

Description. Shear rate is the rate at which a progressive shearing deformation is applied to some material. The shear rate for a fluid flowing between two parallel plates, one moving at a constant speed and the other one stationary (Couette flow), is related to the velocity of the moving plate and the distance between the two parallel plate In this formula, area of shear friction reinforcement uses Design Shear, Capacity reduction factor, yield strength of reinforcement and Coefficient of Friction. We can use 4 other way (s) to calculate the same, which is/are as follows -. eccentricity_of_shear = 1- (1/ (1+ ( (2/3)* ( width of critical section / width perpendicular to critical. Beam Calculator Online (Calculate the reactions, Draws Bending Moment, Shear Force, Axial Force) We updated the beam calculator interface and added additional features for calculating beams (calculation of statically indeterminate beams, image saving and section selection)! GO TO NEW INTERFACE (BEAM)>. GO TO NEW INTERFACE (FRAME/TRUSS)>

The beam calculator uses these equations to generate bending moment, shear force, slope and defelction diagrams. The beam calculator is a great tool to quickly validate forces in beams. Use it to help you design steel, wood and concrete beams under various loading conditions Deformation in the Horizontal Axis. Deformation in the Vertical Axis. Where (when used in equations and this calculator): W = load (force); v and w = unit loads (force per unit of circumferential length); G = Shear modulus of elasticity F = Shape factor for the cross section (= Z / I c) Z = Plastic section modulu Shearing Deformation Shearing forces cause shearing deformation. An element subject to shear does not change in length but undergoes a change in shape. The change in angle at the corner of an original rectangular element is called the shear strain and is expressed as $\gamma = \dfrac{\delta_s}{L}$ The ratio of the shear stress τ and the shear strain γ is called the modulus o BEAMGURU.COM is a online calculator that generates Bending Moment Diagrams (BMD) and Shear Force Diagrams (SFD), Axial Force Diagrams (AFD) for any statically determinate (most simply supported and cantilever beams) and statically indeterminate beams, frames and trusses.The calculator is fully customisable to suit most beams, frames and trusses; which is a feature unavailable on most other.

Fig.4 Calculation of shear deformation 2 4 6 20 40 60 0 Shear cracking Beam theory Test Deflection (mm) Shear force (kN) Predict Fig.5 Relationship between applied shear force and total deformation Fig.4 Calculation of shear deformation 1 To calculate Strain Energy in Shear when Shear Deformation is Given, you need Shear Area (A), Shear Modulus of Elasticity (G), Shear Deformation (delta) and Length (l). With our tool, you need to enter the respective value for Shear Area, Shear Modulus of Elasticity, Shear Deformation and Length and hit the calculate button The point is that you can't calculate the shear deformation independently of the bending one: you need the bending solution first or you can calculate both in a single step. This is formally proved by those two ' uncoupled ' equations in the wiki article, where the equation containing shear contains also bending, but the first equation contains.

- ing the internal forces. In contrast to the effective shear area of EN 1993-1-1, the shear areas calculated here will only be used to deter
- When two materials bonded together expand differently upon heating, the result is deformation. This calc only considers the different thermal expansion, and not the other mechanical parameters (e.g. stiffness) of the system, so gives an upper limit for the deflection
- e the amount of deflection a beam of know cross section geometry will deflect under the specified load and distribution. Please note that SOME of these
**calculators**use the section modulus of the geometry cross section of the beam. You will need to deter - Shear Deflections in Beams. Shear deformations in a beam add to the deflections due to bending discussed in Art. 3.18. Deflections due to shear are generally small, but in some cases they should be taken into account. When a cantilever is subjected to load P (Fig. 3.51a), a portion dx of the span undergoes a shear deformation (Fig. 3.51b)
- The first measure of shear deformation - which can be called the 'accumulated shear' - is the integral of the shear component of the strain rate tensor ~: _~=2 I [email protected]=I r( /~d (1) where r and L are the current radius and length of the sample, respectively. This definition has been used by StLiwe and Turck (2), Kov~cs and Nagy (3.
- CALCULATION ON DEFORMATION RATIO OF SHEAR TO BENDING FOR STEEL REINFORCED CONCRETE SPECIAL-SHAPED COLUMNS Liu Yi 1, Xue Jianyang2, Zhao Hongtie2, Chen Zongping3 1Candidate for Ph.D., School of Civil Engineering, Xi' an University of Architecture and Technology, Xi' an China 2 Professor, School of Civil Engineering, Xi' an University of Architecture and Technology, Xi' an, Chin
- Tabulated Panel Shear Stiffness Gavalues, used to calculate the component of deflection due to shear deformation, replace the need for intermediate calculations that separately account for nail slip and panel shear stiffness. Equation [3] relates Gato nail slip and panel shear stiffness

- Next, let us consider a pure shear deformation as shown as the infinitesimal cube below: Here, the total deformation is the sum of the angles q1 and q2, and can be written as: Note that q1 is defined to equal q2,q1 = q2. Now we use some trigonometry
- The shear area of the member is a cross-sectional property and is defined as the area of the section which is effective in resisting shear deformation. This value is always less than the gross area of the section and is also referred to as the form factor. The form factor is the ratio of the gross area of the section to its shear area
- The engineering shear strain is defined as the tangent of that angle, and is equal to the length of deformation at its maximum divided by the perpendicular length in the plane of force application . where, γ = the shear strain ∆l = the deformation (m) l = the original length (m) Shear modulu
- Calculate The Shear Force And Bending Moment At Point B For Following Beam Loading. Posted on October 24, 2020 by Sandra. 1 draw the shear and moment diagrams how to draw shear force and bending draw the shear and moment diagram for problem 1 for the beam below sketch draw the shear and moment diagram for
- The engineering shear strain is defined as the tangent of that angle, and is equal to the length of deformation at its maximum divided by the perpendicular length in the plane of force application which sometimes makes it easier to calculate
- Shear deformation does not produce a pore-volume change, and consequently different fluids do not affect shear modulus. Therefore, dry rock shear modulus (μ d) should be equal to the saturated formation shear modulus (μ fm).Thus, Biot's coefficient can be approximately obtained using the formation shear modulus and matrix shear modulus (μ ma) as shown in the following equation, particularly.

- This video explains shear strain in solid materials and discusses related examples.tag: C2833C9174D5FCDB9DC4B7C20711333
- The case of neglecting the shear deformation in the walls is also studied, and it is found that the wall height to length aspect ratio (H/B) plays a major role in calculating the lateral deflection and the rigidity of such walls. When the H/B is more than or equal to 3.7, the shear deformation may be neglected from the calculation of the.
- The method for calculating shear wall deflection can be found in IBC 2305.3 and UBC Standard 23-2. It accounts for bending, shear, nail deformation and anchorage slip. - Bending: the shear wall performs like a cantilevered beam with the chords acting as the flanges of an I-beam. - Shear: the wall sheathing carries the shear like the web of a.
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- Shear Modulus Formula. The following equation is used to calculate a shear modulus of a material. G = F * L / A * D. Where G is the shear modulus (pascals) F is the force (N) L is the initial length (m) A is the area being acted on (m^2) D is the transfer displacement (m
- This free online structural frame calculator will generate and find the bending moment and shear force diagrams of a 2D frame structure. The free version allows you to input frames with a maximum of 3 members with applied point loads and moments for 2D frame analysis

This calculation computes the shears in a fastener group that is only subject to a direct shear and/or in-plane moments. It is done by the elastic analysis method which is less exact than the ultimate strength (instantaneous center of rotation) method used to formulate the AISC tables - but it does provide a conservative and simplified design of such connections 2) Beyond the occurrence of ASB, with a decrease of flow shear stress, the increase of local plastic shear deformation in ASB is faster than the decrease of elastic shear deformation, leading to more and more apparent shear localization. 704 WANG Xue-bin/Trans. Nonferrous Met. Soc. China 17(2007) 3) According to the measured flow shear. Hollow rectangular beams are resistant to torsional forces, more than I-beams. Use this online hollow rectangular beam deflection **calculator** to compute the deflection of hollow rectangular beams. Enter the length, width, height wall thickness, select the material and click calculate to find the beam deflection value

In general you can derive the beam equation with due account of rotary inertia and shear deformation. The Euler-Bernoulli beam Eq. is s special case of general beam equation (take for instance Theory of vibration with applications from W. T. T and as to the approach to solve the problems by splitting you can take for instance Worked problems in applied mathematics by lebedev et al or you. 3-5 Deformation under Direct Axial Load 3-6 Shear Stress Due to Direct Shear Load 3-7 Torsional Load—Torque, Rotational Speed, and Power 3-8 Shear Stress Due to Torsional Load 3-9 Torsional Deformation 3-10 Torsion in Members Having Non-Circular Cross Sections 3-11 Torsion in Closed Thin-Walled Tube ** » Shear Deformation Consider a square element on a thin-walled shaft with both ends free to rotate**. As a torque is applied to the tube, the square becomes a rhombus. » General Shear Strain Consider a 2-dimensional square element has width, dx, and height, dy. Shear deformations cause the square to change shape into a rhombus as shown at righ Shear stress-induced at radius 'r' from the center of the shaft calculator uses shear_stress = ( Shear stress at Radius 'r' from shaft * Radius of Shaft )/ Radius to calculate the Shear Stress, The Shear stress-induced at radius 'r' from the center of the shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed.

- On the other hand, it will also increase the plastic deformation of the plate, increasing the friction between the blade and the sheared plate, increasing the shear force that shearing requires, and reducing tool life. Therefore, for the swing-type plate shear, when using formula (1) to calculate shear force, it is appropriate to choose a.
- f is flexural deformation; s is shear deformation Total stiffness is 0.0451Et Average stiffness from finite element analysis 0.0440Et Solid wall stiffness 0.1428Et (free at top); 0.25Et (fixed at top) Shear Walls 15 Example - Shear Walls with Openings Sample calculations: Pier B k kips Et Et V k k V b b 10 4.66 0.0451 0.021
- Calculate the reinforcement or F2. Go to the reinforcement results and activate the button for the punching reinforcement . First select the point, then select all surrounding plates. If you select the surrounding plates first, it becomes hard to see if the point is selected or not. Click once with the right mouse button. The dialog below opens
- Shear area represents the area of the cross section that is effective in resisting shear deformation. It is mainly used in finite element analysis to calculate a member's deformation due to shear stress. Substituting SA for A, in effect, reduces the effective cross sectional area to reflect the paraboli
- Shear Strain ! Axial strain is the ratio of the deformation of a body along the loading axis to the original un-deformed length of the body ! The units of axial strain are length per length and are usually given without dimensions 2 Shear Strai

Existing calculation methods for harmful and harmless inter-story drift are revisited first. Their advantages and shortcomings are compared. Finally, the generalized shear deformation of region, which seems to be suitable for structures predominated by flexural-shear deformation, is introduced and evaluated Take reading measures frequently depending on the shearing rate until the shear stress peaks and falls, or until the horizontal deformation reaches 10-15% of the initial diameter. A Direct Shear Machine configuration is shown in Figure 3 Beam Deflection Tables. The tables below give equations for the deflection, slope, shear, and moment along straight beams for different end conditions and loadings. You can find comprehensive tables in references such as Gere, Lindeburg, and Shigley. However, the tables below cover most of the common cases. For information on beam deflection. The deformation gradient is \[ {\bf F} = \left[ \matrix{ 1.0 & 0.0 \\ 0.5 & 1.0 } \right] \] The non-zero off-diagonal value reflects shear. The figure also shows that the square tends to rotate counter-clockwise. This is reflected in the deformation gradient by the fact that it is not symmetric. Case 3 - Pure Shear

an appropriate height is not defined or calculating shear strains of any associated engineering quantity. The range in normal stress, rate of shearing, and general test conditions should be 2. Normal stress, rate of deformation, shear displacement, and corresponding nominal shear stress values. 3. Plot of log time versus deformation for. Deformation Of Metals | Elastic Deformation | Plastic Deformation |Shear Deformation Deformation of Metals The change produced in metal without any fracture even after removal of external load is called deformation. The change can be either axial or angular in nature. The property which enables metals to deform without any fracture is called plasticity Central pier carries about 85% of shear; can design for entire shear Good practice would be to add control joints 10' 18' 5' 3' 7' 55' 3' 8' 2' 8' 18' 8' 3' 3' 2' 1. Need to provide prescriptive seismic reinforcement everywhere. 2. Need drag strut/collector to get shear to solid portion. Do not skimp o To determine the shear strength of the fastener, the total cross-sectional area of the shear plane is important. For shear planes through the threads, we could use the thread root area. There are two possibilities for applied shear load (as illustrated below). One possibility is that the shear plane occurs in the threaded portion of the bolt

To calculate the shear stress at any deformation, the corrected area (A c), computed from Eq.(13.8),is to be used. A c = l × l c = l × (l - δl) (13.8) ADVERTISEMENTS: where A c is the corrected cross-sectional area in cm 2 and δI the shear deformation in cm Calculating Shear Strain. To calculate the shear strain across a fault or shear zone, we need to first identify a feature that has been offset by the fault or shear zone. Note the brunton for scale. The photo below shows an outcrop in an exhumed section of the mantle within the Josephine Ophiolite in southern Oregon The calculation of the influence on the shear deformation is achieved by using a 3D element and accounting for the creep effect of the shear stress. The creep correction coefficient is introduced to correct the creep coefficient of the six strain components , where , and the axial creep is the same as the norm creep coefficient determining the shear stress distribution, note the shear stress is NOT EQUAL TO: A V x τavg = (1) 1 SHEAR FORMULA Recall that in the development of the flexure formula, we assumed that the cross section must remain plane and perpendicular to the longitudinal axis of the beam after deformation. Althoug

- You can calculate the shear strength or the tensile strength of a bolt • Simple connection: If the line of action of the force acting on the connection passes through If deformation is not a concern then C = 3, If deformation is a concern then C=2.4 C = 2.4 corresponds to a deformation of 0.25 in Now this arbitrary deformation can be decomposed into a pure shear and a rigid rotation as depicted in Fig. 1.2.7. In the pure shear, 1 xy 2. In the rotation, the angle of rotation is then 1 2 . Figure 1.2.7: decomposition of a strain into a pure shear and a rotatio

- Shear deformation behaves similarly to tension and compression and can be described with similar equations. The expression for shear deformation is [latex]\displaystyle\Delta{x}=\frac{1}{S}\frac{F}{A}L_0[/latex], where S is the shear modulus (see Table 1) and F is the force applied perpendicular to L 0 and parallel to the cross-sectional area A
- Chapter 2. Design of Beams - Flexure and Shear 2.1 Section force-deformation response & Plastic Moment (Mp) • A beam is a structural member that is subjected primarily to transverse loads and negligible axial loads. • The transverse loads cause internal shear forces and bending moments in the beams as shown in Figure 1 below. w P V(x) M(x.
- The following steps can be followed in designing the shear walls. Calculate the lateral loads to be applied to the structure. Lateral could be wind loads or earthquakes loads. Depending on the analysis method lateral loads could be applied. If the shear wall design is done without considering the wall frame interaction, the manual calculation.
- ation of primary parameters such as the column aspect ratio, axial load, amount of transverse reinforcement, and deformation ductility demand. Also, a shear strength model proposed by Sezen et al. (2004) for use in design and assessmen
- Introduces tension, shear force, and bending moment in a beam through a simple example.This video was created to support courses in the Engineering Departmen..
- Shear forces acting tangentially to a surface of a solid body cause deformation. In contrast to solids that can resist deformation, liquids lack this ability, and flow under the action of the force. When the fluid is in motion, shear stresses are developed due to the particles in the fluid moving relative to one another
- e the shear strength of soil material under various conditions. Among which one of the most common and simplest methods is the direct shear test using shear box apparatus which can be used to deter

shear walls are permitted to resist horizontal forces using the allowable capacities Where panels are fastened to framing members with staples, requirements and limitations of AF&PA SDPWS shall be met and the allowable shear values set forth in Table 2306.3. 2306.3(1), 2306.3(2) or 2306.3(3) shall be permitted. Allowable capacities in Table 2306. tions, shear deformation and rotary inertia in their for- mulation. Their obtained results are compared to those previously published and founded in good accuracy. Lee and Janga [20], presented spectral element model for axially loaded bending-torsion coupled composite beam based on the first-order shear deformation theory, Timoshenko beam model Calculating non-preloaded connections can use typical shear and bearing formulas explained later in this article. However, preload is often a factor in a joint's fatigue life; it introduces. Bolts can fail in shear or in tension. You can calculate the shear strength or the tensile strength of a bolt. Simple connection: If the line of action of the force acting on the connection passes through the center of gravity of the connection, then each bolt can be assumed to resist an equal share of the load. If deformation is not a. * shear*. 1. a form of deformation or fracture in which parallel planes in a body or assembly slide over one another. 2. Physics the deformation of a body, part, etc., expressed as the lateral displacement between two points in parallel planes divided by the distance between the planes. 3. a machine that cuts sheet material by passing a knife.

Shear force is basically a force that tends to cut off one portion of the component from the other. When this is happen, stresses is produced on the area under shear as an effect from the shearing forces, called shearing stresses. Figure 1 shows the distortion of a rectangular rubber block with the shear deformation 1.5: Viscous Deformation. The flow of liquids, like water, honey, oil, and magma, is described as viscous flow or viscous deformation. Similar to elastic deformation we can ask how the deformation is related to the stress during viscous deformation

Screw Shear Area Calculator. The shear area is a cross- sectional property and is defined as the area of the section which is effective in resisting shear deformation. This value is always less than the gross area of the section and is also referred to as the form factor. Make use of this screw shear area calculator to calculate for the. * About this Frame Calculator*. This free online structural frame calculator will generate and find the bending moment and shear force diagrams of a 2D frame structure. The free version allows you to input frames with a maximum of 3 members with applied point loads and moments for 2D frame analysis. You can also control settings such as units. Engineering Strain, often represented by the Greek symbol (ε), is a physical quantity used to express the magnitude of deformation of material or object. It's one of a most important functions of strength of materials, frequently used to analyse the strain of material. Strain formula to calculate deformation of material due to applied force The right figure shows the distribution of shear stress to generate the earthquakes similar to the main shock at the depth level of 8km in the focal region, which was calculated by the formula of internal deformation using Okada (1992) [Toda (2002), J. of Geography, 111, 233-247]

This Mechanical Engineering Calculator is used to compute the deflection of simple round tube beams. Enter the length, diameter and wall thickness then select the material from the drop down menu. Click Result and read the beam defect value in the output panel Eventually it will calculate the stress and strain values inside each ply of the laminate. Table of Contents • Deformation Calculator - Introduction - Routines - Indices and Tables 1.3.2Routines Calculate the resulting deformation or stresses for loading conditions. A.J.J. Lagerweij COHMAS Mechanical Engineering KAUST 202 The deflection calculation considers the deformation of such a typical region in one direction at a time, alter which the contributions front each direction are added to obtain the total deflection at any point of interest. From Figure 1a, the slab is considered to act as a broad, shallow beam of width equal to. called shear deformation coefficient a 1 , while with the aid of these coefficients the shear areas of the cross-section of the beam can be easily derived, as will occur in the next. More specifically, the shear areas of the beam cross-section loaded by constant shear force (Qy, Q EngiLab is a featured bending moment calculator for Windows.Besides calculating the bending moment of a beam, it is also intended to draw axial force, shear force, bending moment, and beam deformation diagrams.. In its free version, you can draw a free body diagram of a beam with a maximum of 10 nodes

m. Deflection at x, ∆ x: 0.000008. m. Remember: 1 m = 1000 mm ; 1 N/mm = 1000 N/m ; 1 Nm = 1000 Nmm. 1 ft = 12 in ; 1 lbf.ft = 12 lbf.in ; 12 lbf/ft = 1 lbf/in. The above beam deflection and resultant force calculator is based on the provided equations and does not account for all mathematical and beam theory limitations. The calculator has. SHEAR AND TORSION David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 June 23, 200

Understanding the load capacity of a Smalley Retaining Ring assembly requires calculations for both ring **shear** and groove **deformation**, with the design limitation being the lesser of the two. The load capacity formulas do not take into account any dynamic or eccentric loading. If this type of loading exists, the proper safety factor should be applied and product testing conducted. In addition. I'd like to calculate the shear rate formula for CFD (Non-newtonian Fluid) and want to know if the following formula is the good one: Viscious Stress General Equation (Tensor): but your equation for the rate of deformation tensor D is incorrect; it should not have the dilatation terms along the diagonal..

Download Presentation & View Webinar Recording. Flow behavior of complex fluids is traditionally characterized through the distinction between Newtonian and non-Newtonian based on each fluid's viscosity dependence on the rate of deformation and the rate of shear rate. Proper understanding of rheological properties such as shear stress, shear strain, and shear rate are vital in practical. Shear stress data at failure for tests at Normal Stress of 0.5, 1.0 & 1.5 kg/cm 2 *All three tests were performed at deformation rate =0.25mm/min. Shear stress Vs Normal stress (Failure envelope) Shear strength parameters of soil. Cohesion (c) = 0 kPa Internal friction angle (Φ) = 34 deg. General Remark In the previous sections, the equations of the first-order shear deformation theory have been derived. Those are based on Mindlin assumption which results in constant through the-thickness transverse shear deformations. These are required because the calculation of the transverse shear matrix from the summation of the ply transverse shear.

Calculating Shear Strain Lap shear extensometer model 4013 measures indicated axial deformation d a, not shear strain γ. Shear strain is calculated under ASTM D5656 using the glue line thickness, which can vary - not pin spacing. For this reason it is not possible to directly calibrate the extensometer output in units of shear strain Shear strain is Δx/l = tan θ or sometimes = θ, where θ is the angle formed by the deformation produced by the applied force. Example Calculation For example, find the shear modulus of a sample under a stress of 4x10 4 N /m 2 experiencing a strain of 5x10 -2 A General Expression for Calculating Shear Strain channel before the plane of intersection, Oo, travels as a in Simple Shear rigid body with a velocity of V 1 along the entrance channel, as shown in Figure 3; and material in the exit channel after For uniaxial deformation, the true normal strain is defined as dl/l, where l is the instantaneous. Generally speaking, the energy used in deforming the body is converted to heat. The internal energy of the deformed body is the same as the undeformed body. So the work done ends up as heat (using the first law of thermodynamics: Q = ΔU + W → Q = W if ΔU=0). The easiest way to measure the energy of deformation (ie. the work done in. as one end is fixed. The warping restraint causes bending deformation of the flanges in their plane in addition to twisting. The bending deformation is accompanied by a shear force in each flange. The total non-uniform torsion (Tn) is given by Tn = Tsv + T w (4) where Tw is the warping torsion. Shear force Vf in each flange is given by (5) dz.

The deformation-control method 13 is employed by applying the shear strain rate of 0.001 ps −1 to the bulk graphene in both zigzag graphene nanoribbons (ZGNR) and armchair graphene nanoribbons. Figure 1: (a) Three bar double shear and (b) offset grip single shear test setups commonly used in shear tests for cellular materials introduces a horizontal constraint that adds a tensile load to test specimens. Figure 2: The difference in deformation of pure shear and combined shear and tension applied loads This paper aims to understand the effect of auxeticity on shear deformation in thick plates. Three models for the shear correction factor of plates as a function of Poisson's ratio were proposed: an analytical model, a cubic fit model and a modified model. Of these three, the cubic fit model exhibits the best accuracy over the entire range of Poisson's ratio from -1 to 0.5 134 S. Zhang et al. / Tectonophysics 316 (2000) 133-152 about 50%owing to the limitations of deformation examined the eVect of plastic ﬂow by dislocation geometry, whereas in the mantle of the Earth shear glide on the development of LPOs in large relic 07-30-2016 02:22 AM. In the picture there are 4 structures with the deformation in the combination ELS0. The 2 bottom beams are castellated beams. In the calculation of the deformation of these beams, you should use the average inertia (Lightened section and solid section) and add the shear deformation

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