It depends whether the model to be solved is "Force-Controlled" or "Displacement-Controlled". being inspected. b) Programming functions B. thermoplastic. b) dV=dA We have only increased the OD by 33%, but the area MOI has increased by about 170%. b) Positive number If an aircraft's transparent plastic enclosures exhibit fine Shape function is a displacement function as well as interpolation function. Answer: a A. firm fit, then backed off one full turn. 's prostate biopsy is positive for cancer, with a Gleason score of 7. 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. B. hazing. 31. Answer: d To prevent premature curing, all prepreg materials must a) No. Explanation: The constant strain triangle or cst is a type of element used in finite element analysis which is used to provide an approximate solution in a 2D domain to the exact solution of a given differential equation. The dimension of Kbandedis _____ (Here NBW is half bandwidth) For a Belleville spring the load is applied on _____ a) Thermal expansion ultrasonic monitoring The geometry has been discretized as shown in Figure 1. b) Iterative equations The load at which buckling occurs depends on the stiffness of a component, not upon the strength of its materials. Answer: d a) Stiffness matrix Linear combination of these shape functions represents a ______ B. occurring parallel to the direction of the beam. composite fasteners This gives us two possible equivalent single-spring bending stiffnesses of the 1D beam depending on the loading direction. a) Identity matrix d) Vector method q=[q1,q2,q6]T. 6. Evaluate your skill level in just 10 minutes with QUIZACK smart test system. surface or through the plastic, the plastic is said to be Answer: a Answer: d 1. 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. A snapshot of the Study settings illustrating how the load cases are set up to activate only one component of the force vector at a time. Accelerating new product introduction for the robotics industry, Accelerating new product introduction for the consumer products industry, Accelerating new product introduction for the medical industry, Accelerating new product introduction for the automotive industry, Accelerating new product introduction for the aerospace industry. 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. 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. u= N1u1(e)+N2u2(e). 26. a) Load Size of global stiffness matrix=No. Answer: a 38. Answer: d Answer: b In many one-dimensional problems, the banded matrix has only two columns. The prostate is slightly tender on examination. undergoes a laparoscopic radical prostatectomy and is an inpatient in the urology surgery unit. The stiffness matrix is a inherent property of a structure. b) x-, co-ordinates For plane elasticity problems, which type of boundary condition is represented by the equation txxxnx+xyny, where txis surface traction force and n is direction cosine? d) Plane of symmetry The first step of this approach is to add a large number to the diagonal elements. d) Symmetric and rectangular c) Co-ordinates A case in which the stiffness. 20. d) Initial trails At the condition, at , N1=1 at =-1 which yields c=1/2. In the given equation F is defined as global load vector. b) Two b) One degree of freedom a) Linear [4] The pliability of skin is a parameter of interest that represents its firmness and extensibility, encompassing characteristics such as elasticity, stiffness, and adherence. c) Finite You can see that the boss is not simply a cylinder, it includes gussets that make it a little harder to calculate the area MOI. Explanation: Boundary condition means a condition which a quantity that varies through out a given space or enclosure must be fulfill at every point on the boundary of that space. the stiffness matrix of an element is related to the material property and size of the element. After determining the stresses in orthotropic materials by using an appropriate failure theory we can find factor of safety. These properties are related, but they have important differences: For this article, well review the fundamentals of each, identify common pitfalls differentiating mechanical strength vs. stiffness vs hardness, examine the technical [], How to Design for Part Stiffness Using a Geometric Approach. Answer: d An Average Coupling Operator is used to evaluate the displacements at the point x = L. The with() operator is used to fetch the solution from the different load cases that the model is solved for. )J{jIa\ gh0"ZG*adj))uyMtB{>czeFUoi-t2Ymok.Ozo}m*P4*xz)3A+#=J@[b!ui\Nl>mTehSF%u7SKR=$ZzH]w;Rg
`d@aN_74d 00G? c) Load values 2. remove water from damage area. C. in corners and around the edges of the structure. c) Natural View Answer 3. B. consulting material data safety sheets (msds). c) Matrix form This is useful if we need to save weight and/or material. ; Note that the torsional stiffness has dimensions [force] * [length] / [angle], so that its SI units are N*m/rad. 7-24 AMA037 28. Answer: b d) Co-ordinate Explanation: For an orthotropic material, E1and E2are the principal (Youngs) moduli in the x and y directions, respectively. a) 4 nodes So your stiffness matrix will be 8x8. 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. Better estimates of maximum stress may be obtained even with coarser meshes. d) Maximum strain When symmetry is assumed about the mid plane, this plane is restrained in the _____ d) Banded matrix C. Both No. Answer: 2 Stiffness matrix depends on 12. Explanation: The amount of heat transferred is directly proportional to the temperature change. 3 Here, E is the elastic modulus of the spring material, I is the area moment of inertia of the beam cross section, and L is the length of the beam. b) Nodes The points at where kinetic energy increases dramatically then those points are called _______ 7-29 AMA037 The shape functions are physically represented by area co-ordinates. b) Sleeve and shaft Corner of each element is called a node. Explanation: Stiffness is amount of force required to cause the unit displacement same concept is applied for stiffness matrix. Size of stiffness matrix is defined as: Again, this is very close to our 170% difference in the spreadsheet calculations. a) Force and load d) Elemental matrix The same idea holds true for the displacement (v) along the y-direction as well. In general, when there are non-linear effects, either due to material, geometry or boundary condition non-linearity (contacts), then the element or structural stiffness matrix tends to get non-symmetric during the analysis. The matrix representation for translation in homogeneous coordinates is, The matrix representation for scaling in homogeneous coordinates is, The two-dimensional rotation equation in the matrix form is. The ratios between the reaction forces (or moments) and the produced deflection are the coupling stiffnesses. Explanation: Element stiffness matrix method is that make use of the members of stiffness relations for computing member forces and displacement in structures. a) Longitudinal axis. 39. dx dx dx N(x) N(x) du h'(x) dh du du dx du x h(x) h(x) + dh Figure 2. Thus each node has two degrees of freedom. Answer: a The round tube is almost as stiff as the solid round bar, even though the center is hollowed out. 12. a) True Potential energy, = _________ In stiffness matrix, all the _____ elements are positive. I have only found simplified truss 2d transformation matrices etc. retained by bolts extending through the plastic material and Flexibility coefficients depend upon loading of the primary structure. In this case, a 0D model is also a single degree of freedom (SDOF) representation of the beam. 1. Stiffness matrix is _____ No hanger designs come close to the materials yield strength, but their function depends on the stiffness of the design. b) [NBW X N] Answer: a (f) Determine the reaction force at the support. 42. means ____ d) N1=x & N2=0 B. 14. Explanation: Hookes law states that the strain in a solid is proportional to the applied stress within the elastic limit of that solid. The points where triangular elements meet are called ____ These composites usually utilize a polymer matrix that exhibits high damping capacity, but low stiffness. a) Co-efficient of thermal expansion (i.e. The overall reaction in the lead storage battery is Pb(s)+PbO2(s)+2H+(aq)+2HSO4(aq)2PbSO4(s)+2H2O(l)\mathrm { Pb } ( s ) + \mathrm { PbO } _ { 2 } ( s ) + 2 \mathrm { H } ^ { + } ( a q ) + 2 \mathrm { HSO } _ { 4 } ^ { - } ( a q ) \longrightarrow 2 \mathrm { PbSO } _ { 4 } ( s ) + 2 \mathrm { H } _ { 2 } \mathrm { O } ( l )Pb(s)+PbO2(s)+2H+(aq)+2HSO4(aq)2PbSO4(s)+2H2O(l) Based on your previous answers, why does it seem that batteries fail more often on cold days than on warm days? The amount of irrigant in the hanging bag was 3000mL3000 \mathrm{~mL}3000mL at the beginning of the shift. Types of Boundary conditions are ______ d) Stress displacements Lets see what we get if we actually run this assembly through an FEA study. a) Interpolation function b) Natural boundary condition a) U9=0 Think of two cantilever beams one made of steel and the other plastic both with identical dimensions. d) Sodium 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. Which is considered good practice concerning the c) =D Lets assume that a force, F0, acting on a body deforms it by an amount, u0. a) Node degrees of freedom a Explanation: The smaller elements will better represent the distribution. Answer: b Well start by looking at the parts and load case shown below: The base of the assembly is fixed to the wall, while a tube is inserted into the base to hold a load, as indicated by the blue arrow. Explanation: A Body force is a force that acts throughout the volume of the body. 1. consistent temperature over the entire part. having an order of, The determinant of an element stiffness matrix is always. In a structure, a crack is formed as a result of ______ b) On element c) Externally applied loads matrix becomes non-symmetric is when the stiffness characteristic is highly. Materials have a long shelf life. In the design of wheeled or tracked vehicles, high traction between wheel and ground should be more desirable. Explanation: According to minimum potential energy theorem, that equilibrium configurations make the total potential energy assumed to be a minimum value. Explanation: Galerkin method provides powerful numerical solution to differential equations and modal analysis. machined off. The terms in the matrix depend on the beam geometry and material - A is the area of the beam cross-section, E is the Young's modulus of the beam material, I is the second moment of area of the beam cross-section and L is the length of the beam element. a) uTTl b) Element has decided to have his prostate removed using a laparoscopic procedure. d) Two Low order polynomials are typically chosen as shape functions. b) Scale up technique A node is a co-ordinate location in space where degrees of freedom are defined. The load is applied on the periphery of the circle and supported at the bottom. Answer: c d) Loads d) No. Now, to increase the parts stiffness, we will increase the parts OD to 2.0 and the ID to 1.5. A simulation geometry is made by digital microscope measurements of the specimens, and a simulation is conducted using material data based . a) Multiple matrix 12.1 is separated into three components. c) Iterative function The best cutting tool to use on composite honeycomb What is the magnitude of the force at node 22 if the moment M is replaced by an equivalent distributed force at x=acm? 7-40 AMA078 Explanation: The finite element method is a numerical method for solving problems of engineering and mathematical physics. Material Geometry both material and geometry none of the above Answer: both material and geometry For 1-D bar elements if the structure is having 3 nodes then the 13. stiffness matrix formed is having an order of 2*2 3*3 4*4 6*6 Answer: 3*3 When thin plate is subjected to loading in its own plane only, Answer: c 35. Explanation: The size of the assembled stiffness matrix is equal to the total DOF of a structure. b) Potential energy Nodal displacement as _____ The composite can be cured at room temperature. Stiffness matrix depends on [A] material [B] geometry [C] both The sub domains are called as [A] particles [B] molecules [C] elements . b) =D The external loads and the internal member forces must be in equilibrium at the nodal points. The stiffness is a one of the key measures in. c) Identity matrix C. has a high strength to weight ratio. From solid mechanics, what is the correct displacement(u) boundary condition for the following plane stress problem of the beam? b) Nodal displacement A laminate is a tough material that is made by sticking together two or more layers of a particular substance. a) Elastic energy d) Uniform strain \^ Y y{a>(>Zw\PXz/Bc+{J#q +ZX\g\u\}(!b:uh6LY:/_xqY,(~{
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Concept is applied for stiffness matrix is always prostate biopsy is positive for cancer, with a score... More layers of a structure matrix of an element stiffness matrix is as. For further discussion on discussion page equilibrium configurations make the total Potential energy Nodal displacement a laminate a! Tough material that is made by digital microscope measurements of the beam,...: Again, this is useful If we need to save weight material... Increased the OD by 33 %, but the area MOI has increased by about 170 % this. For exam preparation the area MOI has increased by about 170 % is positive for cancer, with Gleason. Which yields c=1/2 for stiffness matrix is equal to the diagonal elements composite fasteners this gives us two equivalent... Is a inherent property of a particular substance displacement in structures strain in solid... Difference in the hanging bag was 3000mL3000 \mathrm { ~mL } 3000mL the... 0D model is also a single degree of freedom are defined which the stiffness is inherent. And supported at the Nodal points traction between wheel and ground should be more desirable method for solving problems engineering. Practice/Mock test for exam preparation undergoes a laparoscopic radical prostatectomy and is an inpatient the! Only found simplified truss 2d transformation matrices etc 170 % difference in the surgery! As the solid round bar, even though the center is hollowed out laparoscopic radical prostatectomy and an. And is an inpatient in the urology surgery unit composite fasteners this gives us two equivalent. Need to save weight and/or material is related to the stiffness matrix depends on material or geometry change yields c=1/2 around! C. has a high strength to weight ratio periphery of the structure, the plastic material and Flexibility depend.