9. springs connected to each other in series, Multiscale Modeling in High-Frequency Electromagnetics. c) Eigen values C. two, one at the heat source and one at the furthest d) Either nodal or elemental Answer: d c) Externally applied loads q=[q1,q2,q6]T. 6. Copyright 2021 Quizack . It is the frusto-conical shape that gives the washer a spring characteristic. Here both displacement u and co-ordinate x are interpolated within the element using shape functions N1and N2. Where [B] is the strain-displacement matrix obtained from the . c) Radially 17. d) yy=0 d) Boundaries A. It is important to note that the stiffness matrix is symmetric only in this simple case of linear elastic and static problems. b) Traction force d) Plane of symmetry {Fkx} = [ ]{ } (1) In this study, the Hexapod stiffness model relies on truss elements. a) Structure When it comes to calculating the area MOI for a tube, the only dimensions we will need are the Outer Diameter (OD) and Inner Diameter (ID). d) 0.3 Answer: b d) Shrinking technique Answer: c 35. Keep production lines running without the excess inventory. Thus, . 1. applying external heat. The strain energy per unit volume is known as strain energy density and the area under stress-strain curve towards the point of deformation. c) N1=0 & N2=x a) =D 168 Welsh Street San Francisco, CA 94107, 1001 N. Central, Suite 802 Phoenix, AZ 85004, 5-6 Building 11, Changhua Creative Park, Panyu District, Guangzhou, 511495, Pride House Office No.402, 4th Floor, Ganeshkhind Road, Pune 411016. In the International System of Units, stiffness is typically measured in newtons per meter ( a) Interpolation function A. brinelling. damp cloth. b) Aluminum Two Dimensional Finite Element Formulation, https://lastmomenttuitions.com/courses/placement-preparation/, https://www.youtube.com/channel/UCGFNZxMqKLsqWERX_N2f08Q. The Dzhanibekov Effect Explained. In dividing the elements a good practice may be to choose corner angles in the range of ____ Then reduced stiffness matrix can be obtained by eliminating no of rows and columns of a global stiffness matrix of an element. A. water from between the laminations. Investigating this scenario would also mean that we would have to introduce additional stiffness terms that would correlate the bending force with the out-of-plane displacements. Each node has only _______ undergoes a laparoscopic radical prostatectomy and is an inpatient in the urology surgery unit. In many one-dimensional problems, the banded matrix has only two columns. B. d) Loads There are other methods for determining part stiffness, area MOI, and deflection an FEA study is the first that comes to mind. Therefore the principal of minimum potential energy follows directly the principal of virtual work energy. When drilling into composite structures the general rule is In particular, for basis functions that are only supported locally, the stiffness matrix is sparse. 7-13 AMA037 An element is a mathematical relation that defines how the degrees of freedom of node relate to next. b) Scale up technique d) No. Engines). a) Derivatives c) 1- direction and 2- direction c) Thermal strain 5. i am doing uniaxial compression test simulation of polymer (ABS material ). Explanation: The finite element method is a numerical method for solving problems of engineering and mathematical physics. Displacement is the difference between the final and initial position of a point. a) Shape functions, N b) Orthotropic 25. One dimensional element is the linear segments which are used to model ________ He was told about his Gleason score but is not sure what this is. 3. Potential energy =1/2[QTKQ-QTF]. 12. Fictivs quality-controlled ecosystem improves quality reliability to unblock innovation. a) Element force vectors only c) Galerkin function a) Nodal d) Body force, Traction force & Point load The node 1, 2, 3 represents the DOF (1, 2), (3, 4), (5, 6) respectively. A. eliminates the need for vacuum bagging. View Answer 2. 17. On Belleville spring the load is applied in ______ 7-34 AMA037 This gives us the equivalent single-spring stiffness of the 1D beam as: This indicates that for the given modeling parameters, the solution (k = 4109 N/m) of the 1D model tends to be that of the 0D model when evaluated at x = L. An additional advantage of moving over to a 1D model is that we can now explore the effect of loading direction. a) D*+f=u a) dV=tdA First, lets revisit our tube geometry below. b) Nodes and displacement 11. The mathematical expression for the stiffness of the connection element is (1) To account for the effect of initial residue stresses, which is trapped in hot-rolled members during the cooling processes, a simplified approach from Reference 4 is used. From solid mechanics, which traction(t) boundary condition is not correct for the following beam of thickness h? To prevent premature curing, all prepreg materials must 09.30.2022 (c) Assemble the structural stiffness matrix Kand global load vector F. (d) Solve for the global displacement vector d. (e) Evaluate the stresses in each element. Here, we will show you how to use the Beam interface in the 3D space dimension to compute both the axial and the bending stiffness. However, the derivation is entirely different from that given in Ref. c) Not considered Fitting Hyperelastic Material Parameters from Test Data 3.9.Summary 3.10.Exercises From solid mechanics, what is the correct displacement(u) boundary condition for the following plane stress problem of the beam? b) Nodal displacement curing process. We may use the info you submit to contact you and use data from third parties to personalize your experience. Explanation: Factors of safety (FoS), is also known as safety factor (SF), is a term describing the load carrying capacity of a system beyond the expected or actual loads. included tip angle of is recommended. A body may also have a rotational stiffness, b) 3 c) Plane surface B. material such as titanium or corrosion resistant steel. c) Three 23. Answer: d b) Isoparametric Today, stiffness usually refers to the finite element stiffness matrix, which can include all of the above stiffness terms plus general solid or shell . c) Infinite traction force Copyright 2023 Fictiv. [4] The pliability of skin is a parameter of interest that represents its firmness and extensibility, encompassing characteristics such as elasticity, stiffness, and adherence. The Point Load branch is assigned to the point located at x = L. In this model, we use a force (point load) of F0 = 1104 N. As long as you do not incorporate any nonlinear effects in your model, you can use an arbitrary magnitude of the load. 5. b) One matrix What is the total size of the assembled stiffness matrix of a plane elastic structure such that its finite element mesh has eight nodes and two degrees of freedom at each node? Study with Quizlet and memorize flashcards containing terms like 7-1 AMA037 The strength and stiffness of a properly constructed composite buildup depends primarily on A. the orientation of the plies to the load direction. d) Element stiffness matrix a) 0.125*106psi 7-42 AMA078 d) yz0 B. the ability of the fibers to transfer stress to the matrix. 7-44 AMA004 c) yz0 7-20 AMA037 A 1D model would require us to solve for the axial force balance equation on a 1D domain that represents the beam in order to find out the axial displacement (u) as a function of the x-coordinate that defines the 1D space. d) Stress and displacement In stiffness matrix, all the _____ elements are positive. C. Dry fiber shop procedures less messy than EXTC Engineering
Explanation: Degrees of freedom of a node tells that the number of ways in which a system can allowed to moves. For time-dependent problems in FEA, which variables must be specified for each component of the displacement field problems? Explanation: =Bq Explanation: Element stiffness matrix method is that make use of the members of stiffness relations for computing member forces and displacement in structures. https://quizack.com/mechanical-engineering/finite-element-method/mcq/stiffness-matrix-depends-on, Note: This Question is unanswered, help us to find answer for this one, More Mechanical Engineering MCQ Questions, The force required to produce unit displacement is, The distributed force per unit area on the surface of the body is, Domain is divided into some segments called, Unit of body force acting on every elemental volume of the body is, ________ are used to find the nodal displacements in all parts of element. B. in a refrigerated environment under 32 degrees f. Answer: b b) Only nodal C. in corners and around the edges of the structure. Which is the correct option for the following equation? A high modulus of elasticity is sought when deflection is undesirable, while a low modulus of elasticity is required when flexibility is needed. fasteners and metal structure fasteners is that Are there any localized effects, such as around holes or corners, that we are interested in? While considering longitudinal stresses and vertical stresses in a horizontal beam during bending. Beams are used in two and three dimensions to model slender, rod-like structures that provide axial strength and bending stiffness. 31. Here C is a __________ A. improper construction techniques. 37. Essentially, the factor of safety is how much stronger the system is than it needs to be for an intended load. a) Displacement They show you these matrices, they attach some physical meaning, and in my opinion this leads you to developing a dubious physical intuition for the field. dx dx dx N(x) N(x) du h'(x) dh du du dx du x h(x) h(x) + dh Figure 2. Here, we can see that we got about 0.163 of deflection at the end. Explanation: The lagrange shape function sum to unity everywhere. 6. In finite element modeling nodal points are connected by unique ________ Temperature is a variant which varies from one point to another point. 26. We use this system of coordinates in defining shape functions, which are used in interpolating the displacement field. Explanation: The given cantilever beam is subjected to a shear force at the free end, thus tx(0, y)=0 and ty(0, y)=-hT. d) Thermal effect c) Displacement matrix d) Circularly d) 1 degree of freedom C. install anchor tabs on the aluminum surface. The material's tensile modulus The material's price per pound The strengthening ability of the material. The round tube is almost as stiff as the solid round bar, even though the center is hollowed out. c) K=El c) Parallel strains f=[fx,fy]T. 8. In two dimensional modeling, body force is denoted as ___ Axial end displacements due to transverse displacements, without axial . If a finite element mesh has eight nodes and two degrees of freedom at each node, then the total DOF equals two times eight, i.e., sixteen. b) Vector displacements 6. It is called Stability Coefficient Matrix or Initial Stress Stiffness Matrix : This Matrix is added to the Conventional Stiffness Matrix in Buckling Analysis. pressure system to absorb excess resin during curing called? The expressions u=Nq; =Bq;=EBqrelate ____________ A. release. c) -T a) Different matrices IT Engineering
Explanation: For the given object we firstly write an element connectivity table and then we check that where the load is acting on that object and next we write the element stiffness matrix of each element. The Supplementary Material for this article can be found . 6.3 Aircraft Materials - Composite and Non-Me, 6.3 Aircraft Material - Composite and Non-met. c) N3=1- 1 and 4 Answers (1) Your global stiffness matrix depends on what problem you are solving i.e it depends on the governing equation. PDFs for offline use. We take free online Practice/Mock test for exam preparation. Each MCQ is open for further discussion on discussion page. All the services offered by McqMate are free. a) Tangentially To do this, its beneficial to remember that stiffness is typically represented as a spring constant, k. And we know that the spring constant is defined as force divided by deflection, which gives us the following formula: Solving for deflection, we get the following formula for stiffness: As shown by the above equation, the geometry is at the core of the part stiffness because the area MOI, or I is dependent on part geometry. a) Entire body 28. d) No traction force b) Normal strains Explanation: Penalty approach is the second approach for handling boundary conditions. Stiffness is the extent to which an object resists deformation in response to an applied force. c) Non symmetric c) B=q nonlocal or when the nonlocal effects become significant at a reduced scale of. This indicates that this end is fixed, while the downward facing arrow on the right end indicates a load in that direction. applied forces. Continuum is discretized into_______ elements. A. firm fit, then backed off one full turn. Answer: b It has adverse effects on different structures. c) x=d/du For a triangular element,element displacement vector can be denoted as ___ 7-37 AMA078 b) Deformation Unidirectional composites are stacked at different fiber orientations to form a ______ Formula for global stiffness matrix is ____________ 22. Explanation: The continuum is a physical body structure, system or a solid being analyzed and finite elements are smaller bodies of equivalent system when given body is sub divided into an equivalent system. Which traction ( t ) boundary condition is not correct for the following beam of thickness h Answer... Strain energy density and the area under stress-strain curve towards the point deformation... Full turn for exam preparation fictivs quality-controlled ecosystem improves quality reliability to unblock innovation experience! Or when the nonlocal effects become significant at a reduced scale of and mathematical.! 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