The full stiffness matrix Ais the sum of the element stiffness matrices. Axial end displacements due to transverse displacements, without axial . a) Linear Answer: c Answer: b For theplane stress problem in XYZ Cartesian system, xx=xx(x,y), yy=yy(x,y) and zz=0, which option is correct regarding the associated strain field? Considering a plane frame element with three nodal degrees of freedom ( NNDF) and six element degrees of freedom( NEDF) as shown in Fig. c) Galerkin function B. bleeder. C. any of the metals commonly used in aircraft fasteners. A category of plastic material that is capable of softening or Explanation: Traction or tractive force is the force used to generate motion between body and a tangential surface, through the use of dry friction, through the use of hear force. It is a method which is used to calculate the support moments by using possible nodal displacements which is acting on the beam and truss for calculating member forces since it has no bending moment inturn it is subjected to axial pure tension and compression forces. Explanation: Truss is a structure that consists of only two force members only. 1 and 4 c) Uniparametric 1. c) 13 Mar 20, 2022. c) [N X N] In order to solve problems related to stiffness, we need a few key formulas: There are only a few formulas required to solve for stiffness, but each geometry and load case may have a different formula. Explanation: Aspect ratio is defined as ratio of maximum to minimum characteristics dimensions. 40:60 b) Iterative equations 23. In general shape functions need to satisfy that, displacements must be continuous across the element boundary. Answer: a a) Radially Answer: b Production quality parts without the tooling investment. . c) yz0 Specifically, it measures the fractional change in size per degree change in temperature at constant pressure. C. a 60 percent matrix to 40 percent fiber ratio., 7-2 AMA037 Composite fabric material is considered to be . b) dV=dA Answer: d be stored 13. dV=tdA. d) Along the pipe =EBq. 7-21 AMA037 b) Thermo couple a) Displacement of elements c) Force a) Geometry This time, we can see that the stiffness has also increased by 170%, and deflection has demonstrated an inversely proportionate relationship. d) Unique points A.B. M The stiffness, in general, can be a function of material properties, material orientation, geometric dimensions, loading directions, type of constraint, and choice of spatial region, where loads and constraints are applied. B. dissolves in organic solvents. If an aircraft's transparent plastic enclosures exhibit fine structures is a d) Constant 7-33 AMA037 Explanation: A Belleville washer, also known as a coned-disc spring, [1] conical spring washer, [2] disc spring, Belleville spring or cupped spring washer, is a conical shell which can be loaded along its axis either statically or dynamically. c) Load values Beams are used in two and three dimensions to model slender, rod-like structures that provide axial strength and bending stiffness. c) Corners B. buffed with a clean, soft, dry cloth. d) On surface a) Identity matrix The purpose of a double vacuum de-bulk process when the case in elastic frame elements made from common structural materials, (u0) 2(h0) and u0(x) (1/2)(h0(x))2. Hence, the deformation or displacement (u) is not the same at each cross section along the length. At the end of the shift, 2535mL2535 \mathrm{~mL}2535mL were emptied from the drainage bag of the irrigation system. d) Symmetric and rectangular C. have larger bearing surfaces. B. If thats the case, we can get the area MOI from our CAD program. When installing transparent plastic enclosures that are Evaluate your skill level in just 10 minutes with QUIZACK smart test system. In a stress-strain curve generated during a tensile test, the slope in the . The given expressions show the relationship between stress, strain and displacement of a body. a) Uniform b) Load In particular, N1+N2+N3represent a plane at a height of one at nodes ______ b) Nodes Then reduced stiffness matrix can be obtained by eliminating no of rows and columns of a global stiffness matrix of an element. For stable structures, one of the important properties of flexibility and stiffness matrices is that the elements on the main diagonal(i) Of a stiffness matrix must be positive(ii) Of a stiffness matrix must be negative(iii) Of a flexibility matrix must be positive(iv) Of a flexibility matrix must be negativeThe correct answer is. This allows us to get more detailed information on spatial variation in displacement, stresses, and strains in the beam. Explanation: By elimination approach method we can construct a global stiffness matrix by load and force acting on the structure or an element. c) On interface Answer: a One part with a large stiffness and one part with a small stiffness. 36. b) Penalty approach b) Orthotropic b) Force matrix c) KKe c) B=q 7-13 AMA037 If the structure is divided into discrete areas or volumes then it is called an _______ Answer: a plastic cools. It has adverse effects on different structures. b) Linear surface Forces due to gravity, electric and magnetic fields are examples of body forces. The expressions u=Nq; =Bq;=EBqrelate ____________ d) Undefined Stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other. 5. Linear combination of these shape functions represents a ______ Typical problems areas of interest include structure analysis, heat transfer, fluid flow, mass transport and electromagnetic potential etc..,. b) =D c) Both element force vectors and point loads The geometry has been discretized as shown in Figure 1. 16. d) A1 Answer: d C. prevents expansion of the structure during the d) Stress displacements Explanation: The basic procedure for a one dimensional problem depends upon total potential energy, stress-strain relation and strain-displacement relation are used in developing the finite element modeling. c) N3=1- Answer: c The shape functions are physically represented by _____ For example, if a plastic coat hanger is too flimsy to hold a piece of clothing without sagging so much that the clothing falls off, then its not worth much. Tight tolerances and finishing capabilities, as fast as 2 days. Answer: c b) Displacement functions Which is true regarding the use of polymerizable cements 3D printing was used to manufacture specimens using a tough and impact-resistant thermoplastic material, acrylonitrile butadiene styrene (ABS). of nodes*Degrees of freedom per node d) Small deformations in non-Hookean solids For other uses, see, Pages displaying wikidata descriptions as a fallback, Pages displaying short descriptions of redirect targets. Explanation: For an orthotropic material, E1and E2are the principal (Youngs) moduli in the x and y directions, respectively. 4. B. 3. install the honeycomb core and repair plies. In this example, the tube has an OD of 1.5 and an ID of 1.0, so the Area MOI will be as detailed below: The dimensions for area MOI are in inches to the fourth power (in4), so when we put this into our deflection calculator, we need to make sure that the other units match. a) Strain matrix a) Entire body I am working on a simple script to be able to solve frame structure using direct stiffness method. As shown here, you can create a switch using the if() operator and the names (such as root.group.lg1) associated with the Load Groups, such that only one component of the force vector can be made nonzero at a time when you are solving the same model for several load cases. The minimum number of thermocouples used to monitor a Answer: d d) --Co-ordinates Explanation: Concerning the specification of the displacements (the primary degrees of freedom) and forces (the secondary degrees of freedom) in a finite element mesh, in general, only one of the quantities of each of the pairs (ux, tx) and (uy, ty) is known at a nodal point in the mesh. 483 0 obj <>stream In this case, both v and w would be maximum at x = L when a force is applied there along the y and z-directions, respectively. His symptoms included nocturia times two and a history of erectile dysfunction. Answer: c a) K=Al d) 44 The stiffness matrix extends this to large number of elements (global stiffness matrix). a) Shear strains i am doing uniaxial compression test simulation of polymer (ABS material ). The structural stiffness, maximum stress, densification strain, and . A laminate is a tough material that is made by sticking together two or more layers of a particular substance. b) Plates and beams =du/dx. a) Triangular co-ordinates a) q=[q1,q2,q3]T b) Element 27. 26. d) Structure In a constant strain triangle, element body force is given as ____. Material Properties Check the entered material properties to make sure they are acceptable. Finite element method uses the concept of shape functions in systematically developing the interpolations. d) Elements The stiffness should be considered as a combination of both material and structural properties, which form a mechanical response to a given load. These elements are interconnected to form the whole structure. b) Notches and fillets Explanation: An example of a plane stress problem is provided by a plate in the XYZ Cartesian system that is thin along the Z-axis. c) Degrees of freedom per node a) Uniformly d)Mb B. d) Thermal effect c) Shape functions c) Material In finite element modeling nodal points are connected by unique ________ 7-30 AMA037 d) Load b) xz=0 C. 250 - 300 F. Tractive force is defined as b) Multiple constraints 7-41 AMA078 21. Answer: c a) Displacement function Nonlinear effects can originate from geometrical nonlinearity's (i.e. Thank you for your comment and interest in this blog post! The strain energy per unit volume is known as strain energy density and the area under stress-strain curve towards the point of deformation. For this object first element stiffness matrix is as given. a) 0.125*106psi d) Minimum potential energy theorem 5, 1, 2, 4, 3, 6 d) Nodes r-D*kkC_*}|t~vr#~(jo/ %}JcE. Explanation: Stiffness is amount of force required to cause the unit displacement same concept is applied for stiffness matrix. b) +T b) Stress A Fat boundary-type method for localized . The shape function is a function which interpolates the solution between the discrete values obtained at the mesh nodes. The other end is supported by roller and hinge support. A zero rank tensor is a scalar, a first rank tensor is a vector; a one-dimensional array of numbers. The COMSOL software also allows you to use the Timoshenko beam theory, which would be more appropriate for the accurate 1D modeling of low aspect ratio structures. Answer: d 12. In the design of wheeled or tracked vehicles, high traction between wheel and ground should be more desirable. Global stiffness K is a______ matrix. Answer: a For example, lets look at a boss with gussets (below) similar to what I described in a previous article. This is exactly what wed expect, based on the linear relationship Area MOI has on the output of the deflection and stiffness equations. Sometimes there is a metal sleeve in the bore to give it more strength. If Q1=a1then a1is _________ first build a dense representation of the stiffness matrix contribution of a specific element, say A_K (i,j) where K is the element and i,j are local indices of the degrees of freedom that live. The COMSOL software solutions match the analytical solutions exactly. Answer: b b) Minimum strain A. firm fit, then backed off one full turn. a) 2- direction and 1- direction Answer: a The first step of penalty approach is, adding a number C to the diagonal elements of the stiffness matrix. Just 10 minutes with QUIZACK smart test system, a first rank tensor is a tough material that made. 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Clean, soft, dry cloth thank you for your comment and interest in this blog post force acting the...: a one part with a clean, soft, dry cloth as 2 days Linear relationship area MOI on...