stiffness matrix depends on material or geometrybartlett city ordinances

31. 2. The points where triangular elements meet are called ____ An element is a mathematical relation that defines how the degrees of freedom of a node relate to next. d) On surface For an element as given below, what will be the 1STelement stiffness matrix? c) Thermal strain The 1D model represents an infinite number of springs connected to each other in series. a) High traction force The stiffness should be considered as a combination of both material and structural properties, which form a mechanical response to a given load. c) Potential energy 10 Stiffness matrix depends on [ C ] [A] material [B] geometry [C] both [D] none 11 The sub domains are called as [ C ] [A] particles [B] molecules [C] elements [D] None 12 If any element is specified by the polynomial of the order of two or more, the element is known [ B ] as [A] non linear element [B] higher order element [C] both A&B [D] none Each node has only _______ Answer: a 22. 7-28 AMA037 Copyright 2021 Quizack . d) Vector method Answer: b Stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other. Explanation: The given cantilever beam is subjected to a shear force at the free end. These factors are of functional significance to patients. Which is not an advantage of dry fiber composite procedures? q=[q1,q2,q6]T. 6. d) Zero If no scratches are visible after transparent plastic enclosure Types of Boundary conditions are ______ B. buffed with a clean, soft, dry cloth. C. crazing. Answer: d b) Iterative equations a) Radially Strain is response of a system t an applied stress. We will compare this with a 2 solid round bar, as shown below. b) 90-180 A. firm fit, then backed off one full turn. This indicates that this end is fixed, while the downward facing arrow on the right end indicates a load in that direction. When rivets are used, drill the mounting holes through In engineering approach to FEM in Structural Mechanics, how it is presented, you lose the feeling that you are solving Partial Differential Equations. Answer: d Explanation: Global coordinate system corresponds to the entire body. A. 29. Obviously, a hollow tube weighs much less than a solid bar, and the reduction in material equates to savings. The equation txxxnx+xynyrepresents natural boundary condition or Neumann boundary condition. composite construction is Thank you for your comment and interest in this blog post! From where does the global load vector F is assembled? Stiffness matrix is a a) Symmetric matrix. A. assembled with certain aluminum alloys. This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on "Additional Remarks on the Force Method of Analysis". Answer: c Strain is defined as the amount of deformation in the direction of applied force. 7-12 AMA037 Online support center: https://www.comsol.com/support 1. d) --Co-ordinates d) Kinematic energy Global stiffness K is a______ matrix. 5. c) Force vector This is the definition of linearized stiffness, which can, in general, be used on both linear and nonlinear force versus displacement curves. When starting to model a structure, one of the critical choices that we need to make is deciding on how much detail we are really interested in. A. water from between the laminations. 1. 8. Answer: b a) Large number 8. This allows us to get more detailed information on spatial variation in displacement, stresses, and strains in the beam. Answer: b B. fine tooth saw carbide saw blade. Explanation: Multiple constraints is one of the method for boundary conditions it is generally used in problems for modeling inclined rollers or rigid connections. Beams represent structures in which the cross-section is assumed to be small compared to the length. A point in a triangle divides into three areas. For linear user elements all material behavior must be defined through a user-defined stiffness matrix. Coarse meshes are recommended for initial trails. c) Three composite fasteners Thus, stresses and strains are observed in all directions except that the stress is zero along the Z-axis. The force-displacement relationship and linearized stiffness can be mathematically expressed using the following equations, respectively: A typical force vs. displacement curve for a linear elastic structure. d) Stress displacements In problems with multiple DOF, we are required to decide as to which degree of freedom is known when singular points are encountered. The poisons ratio and Youngs moduli are related by the equation Modeling of a cylinder of infinite length subjected to external pressure. In reality, we know that the beam is fixed at one end, while the force is being applied at the other. d) Solids It is the frusto-conical shape that gives the washer a spring characteristic. c) Identity matrix b) Aluminum a) Linear This resistance is referred to as stiffness. Answer: b 5, 2, 1, 4, 3, 6 A body may also have a rotational stiffness, Stiffness is the extent to which an object resists deformation in response to an applied force. The images below illustrate the critical dimensions for impacting part stiffness. In the FEA of a fluid mechanics problem, we need to find . This restrained stiffness matrix consists of the lower right-hand partition of the unrestrained stiffness matrix given in Appendix B as Eq. =0.25*1.25 Well put all the important information into our deflection calculator, as shown below: Our calculator predicts that the beam will deflect 0.144 at the end, which sounds like a pretty reasonable number. For large-strain elements in a large-strain analysis (NLGEOM,ON), the stress stiffening contribution is computed using the actual strain-displacement relationship (Equation 3-6).One further case requires some explanation: axisymmetric structures with nonaxisymmetric deformations. We provide you study material i.e. How many nodes are there in a hexahedron element? Then we extract the displacement vector q from the Q vector. I am having following stiffness matrix for 2 node frame element: What is the correct way of transforming this local stiffnes matrix into global coordinates. Answer: a The finite element method is used to solve the problem ______ Local node number corresponds to ______________ c) Real number This would require us to solve the following moment-balance equation: and at x=L; \frac{d^2w}{dx^2}=0 and -EI\frac{d^3w}{dx^3}=F. b) Vigorously 13. 7-23 AMA037 Explanation: Elasticity is the part of solid mechanics that deals with stress and deformation of solid continua. While the tube contains less material and mass, it can be designed to have almost the same stiffness as a similarly sized solid bar. Since the translation along x is constrained, U9=U19=U29=0. A node is a co-ordinate location in space where degrees of freedom are defined. b) Global load vector Answer: b The most frequent cause of damage to composite parts are %%EOF Explanation: By elimination approach method we can construct a global stiffness matrix by load and force acting on the structure or an element. This is called isoparametric formulation in literature. Answer: d 2. Explanation: Stiffness matrix is a inherent property of the structure. d) N1=x & N2=0 d) Maximum strain Discretization includes __________ numbering. b) Load Our trained employees ensure your parts will be delivered on time and to spec. Therefore, the equivalent stiffness in 1D would be the ratio of the maximum axial displacement and the axial force at the location where the force is being applied. d) Parabolic For pain and/or loss of range of motion of a joint, see, "Flexibility" redirects here. c) U10=0 Answer: d d) Identity b) 3 Answer: d 12.1 is separated into three components. c) Iterative function 2. Explanation: The shape function is a function which interpolates the solution between discrete values obtained at the mesh nodes. For illustration purposes, we will use a steel beam of length L = 1 m, width b = 0.2 m, and thickness t = 0.1 m. The face of the beam that is parallel to the yz-plane and located at x = 0 is rigidly fixed (i.e., zero displacements in x-, y-, and z-directions). C. poor formability. Check out Fictivs CNC Machining Capabilities, then create an account and upload your part to see what our instant quote process, design for manufacturability feedback, and intelligent platform can do for you. d) Uniform strains A1is the first area and N1is its shape function then shape function N1= ___ Answer: b In order to incorporate this effect, we would need to create at least a 1D model. B. occurring parallel to the direction of the beam. 7-18 AMA037 Some shapes perform better in certain load cases than others, and some parts need to be bigger to accommodate higher loads. Note that the spring stiffness depends on the geometry of the beam as well as the material stiffness of the beam. k Copyright 2023 Fictiv. In one dimensional problem, every node is permitted to displace only in the direction. 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. no_nodes = size (node_xy,1); - to calculate the size of the nodes or number of the nodes. b) Considered Now that we know the formulas, lets put them to use with our Area Moment of Inertia Calculator to provide a method for how to calculate stiffness and deflection. d) x=N2x1-N1x2 Answer: a Now, lets jump over to an FEA study that looks at our 2.0 OD by 1.5 ID cantilever tube and compare the result, as shown below. Which technique do traditional workloads use? d) 0.3 Answer: c a) Linear a) Global displacement vector a) Dimensions This is why plastic coat hangers have a larger diameter (cross-sectional area) than metal hangers. d) 1 degree of freedom 7-13 AMA037 In two dimensional modeling each node has ____ degrees of freedom. This correlates pretty closely between the two different approaches, so were happy with the result. Answer: d Better estimates of maximum stress may obtained even with the coarse meshes. Second step is to extract element displacement vector. b) Equation In industry, the term influence coefficient is sometimes used to refer to the coupling stiffness. For example, for an element in tension or compression, the axial stiffness is, Similarly, the torsional stiffness of a straight section is. Tight tolerances and finishing capabilities, as fast as 2 days. 7-42 AMA078 For modeling of inclined roller or rigid connections, the method used is ___ For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is 25. We will explore these cases here. Answer: a By element stiffness matrix we can get relation of members in an object in _____ Considering a plane frame element with three nodal degrees of freedom ( NNDF) and six element degrees of freedom( NEDF) as shown in Fig. In two dimensional modeling, body force is denoted as ___ 7. 19. Thus, xx0, yy0, zz0, xy0, where as yz=0 and zx=0. Answer: b c) Non linear The distribution of change in temperature, the strain due to this change is initial strain. of nodes*Degrees of freedom per node. 2. can anyone help me in finding out? Explanation: Strain is defined as a geometrical measure of deformation representing the relative displacement between particles in a material body. d) Augmented matrix. C. consulting AC43.13 section 1B. The strain energy is the elastic energy stored in a deformed structure. That is, the modulus is an intensive property of the material; stiffness, on the other hand, is an extensive property of the solid body that is dependent on the material and its shape and boundary conditions. undergoes a laparoscopic radical prostatectomy and is an inpatient in the urology surgery unit. Explanation: For plane elasticity problems, the boundary conditions are one of the governing equations. This can be evaluated both subjectively, or objectively using a device such as the Cutometer. A. a) Galerkin approach Answer: b Beams are used in two and three dimensions to model slender, rod-like structures that provide axial strength and bending stiffness. c) uT For bending about the y-axis (i.e., force acting along the z-direction), we can express it as: For bending about the z-axis (i.e., force acting along the y-direction), we can express it as: Therefore, the equivalent bending stiffness in 1D would be the ratio of the maximum out-of-plane displacement and the bending load at the location where the force is being applied. Corner of each element is called a node. Explanation: A rigid body is a solid body in which deformation is zero or so small it can be neglected. He is planning to have surgery in 2 weeks but is concerned about the possible consequences of surgery. b) 11 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. Slash cycle times for engineer-to-order products. a) Row vector b) yx=0 consistent temperature over the entire part. A.B. For questions related to your modeling, please contact our support team. b) 12.04*106psi Explanation: Stiffness matrix represents the system of linear equations that must be solved in order to ascertain an approximate solution to the differential equation. The node 1, 2, 3 represents the DOF (1, 2), (3, 4), (5, 6) respectively. That is, all the elements outside the band are zero. c) Load displacements When an orthotropic plate is loaded parallel to its material axes, it results only _____ Answer: d Wood may also consider to be orthotropic. B. The objective of fiber-reinforced composites it to obtain a material with high specific strength and high specific modulus.

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