Stiffness matrix method is the category of [IES 2016-1] 1.Compatibility method 2.Displacement method 3.Force method 4.Equilibrium method (a)1 and 3 only (b) 1 and 4 only (c) 2 and 3 only (d) 2 and 4 only Finite Element Analysis - MCQ 1. In essence, the matrix transfers some of the applied stress to the particles, which bear a fraction of the load. The highest possible rank of A is (A) 1 (B) 2 (C) 3 (D) 4 . 2 22 22 22 22 CCCS CS AE CS CSSS k LCS CSCC CS CSSS Stiffness Matrix for a Bar Element Example 9 . For many standard choices of basis functions, i.e. C No. Stiffness matrix method is the category of [IES 2016-1] 1.Compatibility method 2.Displacement method 3.Force method 4.Equilibrium method (a)1 and 3 only (b) 1 and 4 only (c) 2 and 3 only (d) 2 and 4 only shows a square-shaped test sample with 16-layer glass epoxy with dimensions of 300 × 300 mm and a thickness of 1.4 mm. of column of matrix A is equals to no. The full stiffness matrix A is the sum of the element stiffness matrices. Answer (1 of 7): The finite element method is used to obtain the response of sytems to external influences. E -Youngs modulus of bar element . ME 1401 - FINITE ELEMENT ANALYSIS Two Marks Questions With ...Beam Element Stiffness Matrix Depends On - The Best ... VdW forces are the weak interaction between all molecules and particles, which play important roles in the particles' mechanical properties. 3. To ensure that the possible maximum deflection that could occur under a given loading is within acceptable value, the structural component is usually analyzed for deflection, and the determined maximum deflection value is compared with the specified values in the codes and standards of practice Structural Analysis 2 | Class 6 Slope - Deflection Method - YouTube. The correct answer is a) (i) and (iii) b) (ii) and (iii) c) (i) and (iv) d) (ii) and (iv) 39 Select the correct statement a) Flexibility matrix is a square symmetrical matrix b) Stiffness matrix is a square symmetrical matrix c) both (a) and (b) d) none of the above c 40 To generate the j th column of the flexibility matrix a) a unit force is . σ is the Stress, and ε denotes strain. We saw that the spring mass system described in the preceding section likes to vibrate at a characteristic frequency, known as its natural frequency. Stiffness matrix [k] = ∫ [B] T [D] [B] dv [B] - Strain displacement matrix [row matrix] [D] - Stress, Strain relationship matrix [Row matrix] 42) Write down the expression of stiffness matrix for one dimensional bar element. 250+ TOP MCQs on One Dimensional Problems - Finite Element Modelling and Answers. 3. Determinant of assembled stiffness matrix before applying boundary conditions is. MCQ on CAD/CAM/CAE. reinforcing particles tend to restrain movement of the matrix phase in the vicinity of each particle. The value of Poison's ratio depends upon (a) Nature of load, tensile or compressive (b) Magnitude of load (c) Material of the test specimen (d) Dimensions of the test specimen. Size of the stiffness matrix proportionally increases if the number of force component increase. The form of the stiffness matrix presented in Chapter 2 for an orthotropic material is more accurately referred to as specially orthotropic. A lower mass and/or a stiffer beam increase the natural frequency (see figure 2). The system is damped and the damping ratio is 0.4. A 1-0 structural element is a. Truss element. The elastic bar is often modeled as a linear spring. This . In the case of structural analysis, when a force. Assume E = 210 GPa, A = 6 x 10-4m2for element 1 and 2, and A = (6 x 10-4)m2 for element 3. depends on other factors: D. can't say: . Elements of main diagonal of stiffness matrix are always positive. The size (or dimension) of A is said to be 2 x 3 (or 2 by 3). Size of the component. 11 - 13 . 2. [ A ] [A] six [B] three [C] two [D] four 9 The determinant of an element stiffness matrix is always [B ] [A] one [B] zero [C] depends on size of [K] [D] Two 10 Finite element analysis deals with [ A ] [A] Approximate numerical solutions [B] Non boundary value problems [C] Partial Differential equations [D] All the above 11 How many nodes are in . 33. . Accuracy of solution in a 2‐D component depends on. Posted on October 5, 2020 by Sandra. Consider the plane truss shown below. Stiffness matrix [k] = AE 1 -1 . The array of elements in the matrix A is a matrix of coefficients. (b)Stiffness matrix method- This is also called . List the properties of the stiffness matrix The properties of the stiffness matrix are: It is a symmetric matrix The sum of elements in any column must be equal to zero. You will find that the system takes longer to reach steady state. Q Stiffness matrix depends on M A both material and geometry 1 A material 0 A geometry 0 The stress distribution also depends upon denseness of meshing. Stiffness matrix is a a) Symmetric matrix.b) Skew symmetric matrix.c) Adjoining matrix.d) Augmented matrix. In particular, for basis functions that are only supported locally, the stiffness matrix is sparse. 35. D no of rows of A is equal to no of columns of B. 1 and 2 only C. 2 and 3 Only D. 3 only 11. 8 Two matrices A and B are multiplied to get AB if. depends on the choice of DOFs. a) Increase. A It increases the size of object 0 A It stunts the shape of an object 0 . A - Area of the bar element. King H. Yang, in Basic Finite Element Method as Applied to Injury Biomechanics, 2018 8.2.1.1 Element Mass Matrix for a 2-Node Bar Element. 1. Note*: We need your help, to provide better service of MCQ's, So please have a minute and type the topic . A 1, 2 and 3 B. A 3 B 2 C 1 D 0. . of d.o.f /node. 32 W L x x (A) 0.211 L (B) 0.25 L (C) 0.234 L (D) 0.5 L Answer: Option A Question No. The We will consider node 1 to be fixed u1= 0. 11 - 15 . Distance of control points c. Position of control panel . Q31 - If a line joining any of its two interior points lies completely within it are called. Alright my attempt at formatting got messed up once I posted. The natural frequency, as the name implies, is the frequency at which the system resonates. The equation shows that the element stiffness matrix for the linear spring element is a 2 ×2 matrix. beam element. 33 Study the following statements. View Answer. Increasing the stiffness of the spring increases the natural frequency of the system; Increasing the mass reduces the natural frequency of the system. In the example of the mass and beam, the natural frequency is determined by two factors: the amount of mass, and the stiffness of the beam, which acts as a spring. (A) Flexibility matrix is a square symmetrical matrix (B) Stiffness matrix is a square symmetrical matrix (C) Both (A) and (B) (D) None of the above Answer: Option C Question No. The transient response depends on everything… Now, reduce the damping coefficient and repeat the test. L -1 1 . Conductance matrix is the equivalent of stiffness matrix in _____ analysis. 28.List the properties of the stiffness matrix. What is stiffness matrix quora chap 6 finite elements for plane solids mcq s finite element ysis last lecture notes on basic finite element mesh explained. The size of the global stiffness matrix (GSM) = No: of nodes x Degrees of freedom per node. If no improvement is made to mean wolf chef is, the process however be stopped after a fixed number of iterations. Clarification: An element is a basic building block of . of column of matrix A is equals to no. We can write the expression for Modulus of Elasticity using the above equation as, E = (F*L) / (A * δL) So we can define modulus of Elasticity as the ratio of normal stress to longitudinal strain. If a system is in equilibrium and the position of the . of damping matrix directly from the size of the structural elements. The degree of reinforcement or im-provement of mechanical behavior depends on strong bonding at the matrixÐparticle interface. 11 - 19 . In one of the property of shape function, summation of shape function [Σfi] is An B 2n C1 D0 Ans. 16. 11 - 13 . Finite Element Method Multiple Choice Questions on "One Dimensional Problems - Finite Element Modelling". The size of the Global Stiffness Matrix (GSM) = number of nodes * degrees of freedom per node. Boundary Conditions The Stiffness Method - Spring Example 1 Consider the equations we developed for the two-spring system. Manolis Papadrakakis, Evangelos J. Sapountzakis, in Matrix Methods for Advanced Structural Analysis, 2018. will take 512 bytes, leaving 32256 bytes for application code. c. both a & b. d. None of the above. For unstable structures, coefficient in leading diagonal matrix can be negative. Stress values may vary by 25% from fine mesh analysis to average mesh analysis.5.Experience and good engg. a. the shape function has a unit value at one nodal point and zero value at the other nodes. Discussion. In the previous cases examined, the aforementioned matrix . 19. Show Answer Answer: A 2. (= AB), found by multiplying a non-zero column matrix A of size 3 # 1 and a non-zero row matrix B of size 1 # 3 , is (A) 0 (B) 1 (C) 2 (D) 3 . where K", the element stiffness matrix referred to global coordinates, is obtained directly from the element stiffness matrix . of column of matrix A is equals to no. Hence, the element shape functions derived for a bar/spring element and a beam element are different. 11 - 16 . of Rows of B. The Micromechanics Plugin for Abaqus. 11 - 18 . In polymer matrix systems interfacial shear failure usually occurs, to an 11 - 17 . Answer: Rank of a matrix. 9 Transpose of a row matrix is. Judgment are needed in order to define a good model. The points in the entire structure are defined using the coordinates system is known as. Question. EXAM PAPER. Multiple Choice Questions; The size of the stiffness matrix is equal to the degree of freedom of the Option A: element Option B: node Option C: shape function Option D: Key point Q5. For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed ishaving an order of; The transformation that is used to alter the size of an object is . No. 10. The stiffness matrix is obtained by inverting the compliance matrix. 11 - 20 . Answer (1 of 5): One way to answer this question is to look at the state of stability when a slender member is applied with axial compression and tension force. After computation of the global stiffness matrices k ¯ i of the members, the next step is the assembly of the global stiffness matrix of the entire structure. 11 - 18 . 11 - 20 . 11 - 19 . The stiffness matrix extends this board large reward of elements global stiffness matrix. Furthermore, the matrix is symmetric. mapped coordinates and hence the [B] matrix becomes In the case of rod, there is only axial stress acting and as a result [C], the material matrix for evaluating the stiffness matrix will have only E, the Young's modulus of the material. It is a natural process of aging and presents in the majority of people after the fifth decade of life. As mentioned previously, a 2-node bar element requires only C 0 continuity while a 2-node beam element needs a C 1 continuity. The attache Fig. First step: Divide the given beam geometry into three small elements as shown in Fig. ESIC 3847 Post UDC, MTS & Steno 2021 Online Form. Structural Analysis MCQ question is the important chapter for a Civil Engineering and GATE students. Answers and Replies. 9 The determinant of an element stiffness matrix is always [A] one [B] zero [C] depends on size of [K] [D] Two [ B ] 10 Finite element analysis deals with [A] Approximate numerical solutions [B] Non boundary value problems [C] Partial Differential equations [D] All the above [ A ] 11 How many nodes are in 3-D brick element [A] 3 [B]6 [C] 5 [D . c) Remain unchanged. d) Proportionally increases. If the structure is divided into discrete areas or volumes then it is called an _______. It is a square matrix and . 11 - 17 . View Answer This can be expressed before assembly as an element matrix summation as follows: Where for Linear Triangular elements we have Only need to compute those terms if some of the edges of Ω are convection edges, A mass of 30 kg is supported on a spring of stiffness 60 000 N/m. Contributions through . A both are rectangular. Instead, damping of a MDF system is usually . Page-3 section-1 Learn Structural Analysis MCQ questions & answers are available for a Civil Engineering students to clear GATE exams, various technical interview, competitive examination, and another entrance exam. Answer d) Proportionally increases. This book provides good coverage of the powerful numerical techniques namely, finite element and wavelets, for the solution of partial differential equation to the scientists and engineers with a modest mathematical background. : A Q36. MCQ 1.81. [1] Symptoms of cervical spondylosis manifest as . Type of load. Principle of superposition . Question. i. Size of the stiffness matrix _____ if the number of force component increase. depends on the choice of DOFs. piecewise linear basis functions on triangles, there are simple formulas for the element stiffness matrices. This corresponds to the fact that the element exhibits two nodal displacements (or degrees of freedom) and that the two displacements are not independent (that is, the body is continuous and elastic). MCQ on Computer Aided Engineering. The size of global stiffness matrix will be equal to the total __ of the structure. 7.6.5 Assembly of the Global Stiffness Matrix of the Entire Frame. Stress‐strain matrix for axisymmetric element is of order . of damping matrix directly from the size of the structural elements. This interface may be formed by chemical, mechanical, and reaction bonding. The stress-strain relationship for a specially orthotropic. The determinant of an element stiffness matrix is always A one B zero C depends on size of [K] D Two Ans. 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, 14. the condition is called plane stress Plane strain zero stress zero strain Answer: plane stress Which of the following is not a method for calculation of Show Answer . In case of a truss member if there are 3 nodes and each node 2 DOF, then the order of Stiffness matrix is Option A: 2x2 The two matrix methods of analysis of indeterminate structures are: (a) Flexibility matrix method- This method is also called the force method in which the forces in the structure are treated as unknowns. In most cases, more than one type of bonding occurs. Position of control points b. 11 - 15 . — soil (foundation) stiffness El — beam rigidity (stiffness) w = enr(C1 cos sin nr)+e cos sin where: C], C 4 are determined from BC's at the end of the beam, and units: 1/1- = L-l 4EI Characteristic Length is defined as a reciprocal of (CL=I/A) it includes: — flexural rigidity (stiffness) of the beam, El Beam Element Stiffness Matrix Depends On. All questions of Finite Element Analysis are provided with Answers and Explanations. This kind of force includes three parts: one is the orientation force (the Keesom force) [], resulting from the interaction between the permanent dipole moment of polar molecules.The second is the induction force (the Debye force) [], which comes from the . 5.2.3 Natural Frequencies and Mode Shapes. The shape of a Bezier curve primarily depends upon the a. C No. •Matrix formulation of convection BC As we see the convection condition forces to modify the global assembled matrix. We also accept requests for mcqs HERE. B. the sum of the shape function is equal to one. Here you register find Structural Analysis questions with answers and explanation. 0. However, setting up these analyses can be a tedious and time . 9. The stiffness matrix for a rod is given by 12 11 [] [ ] 22 NNN 1211 111 (d) Recovers its original size and shape when the deforming force is removed. (6.523 Hz) ii. View Answer. : c Q35. Cervical spondylosis is a term that encompasses a wide range of progressive degenerative changes that affect all the components of the cervical spine (i.e., intervertebral discs, facet joints, joints of Luschka, ligamenta flava, and laminae). Answer: No. The stiffness matrix can be obtained from stiffness influence coefficient kij, . internal loads do not depend on the structural deformation. If in a pin-jointed plane frame (m + r) > 2j, then the frame is (A) Stable and statically determinate (B) Stable and statically indeterminate (C) Unstable (D) None of the above Where 'm' is number of members, 'r' is reaction components and 'j' is number of joints Answer: Option B 02. Answer: No. of Rows of B. It has applications not only in Structural analysis but also free and forced vibration analysis, thermal analysis, non linear analysis etc. 1) tensile forces can stretch matrix more than fibres causing shearing at interface. B both have same order. depends on size of [K] Two. pipe element. December 28, 2021. Define stiffness & state the properties of stiffness matrix? True size of an object c) True shape of an object d . 2 answers. Structural Analysis IV Chapter 4 - Matrix Stiffness Method 3 Dr. C. Caprani 4.1 Introduction 4.1.1 Background The matrix stiffness method is the basis of almost all commercial structural analysis programs. It is a specific case of the more general finite element method, and was in of Rows of B. stiffness matrix, we must apply some form of constraints or supports or the structure will be free to move as a rigid body. of Rows of B. 9 Transpose of a row matrix is. Structural analysis deflection. Nodes 2-4-6 are equally spaced across the top, and nodes 1-3-5 sit below 2-4-6 on the bottom. Jan 19, 2018. L . Q3 - The equation for thermal stress in each element . 0 > 0. depends on the problem. 4.4 (b). In a stiffness matrix each node can have one degree of freedom. Q32 - If a line joining any two of its interior points lies not completely inside are called. 11 - 16 . Q4. The stiffness matrix is, by convention, expressed as [Q] instead of [C]. To achieve reasonably small mesh size, in order to get convergence to the true results, the number of equations to be solved (or the size of the stiffness matrix) Submit. In the formula as mentioned above, "E" is termed as Modulus of Elasticity. b) Decrease. Abaqus has included the technology required to perform FE-RVE analysis for quite some time. Due to its small size larger up-loadable sketch size is . Q1 - ______is the use of computer software to solve engineering problem with the improvement of graphics displays, engineering workstation and graphic standard. VEDAK INSTITUTE OF TECHNOLOGY . Fracture toughness of material refers to crit value (1) of stress intensity factor (1) for given material (1) Describe the primary modes of failure for a fibre reinforced polymer material in tension and compression. From an analysis perspective this means we can compute the internal loads and the external deflections independently. The stiffness matrix can be obtained from stiffness influence coefficient kij, . Then o of equations involved is equal to the degree of static indeterminacy of the structure. The percentage elongation of a material as obtained from static tension test depends upon the [IAS-1998] (a) Diameter of the test specimen (b) Gauge length of the specimen (c) Nature of end-grips of the testing machine (d) Geometry of the test specimen For 2015 Page 42 of 471 Rev0 Chapter-1 Stress and Strain S K Mondals IAS-26. Included angle of elements. B both have same order. The size of the stiffness matrix isequal to the degree of freedom of the A element B node C shape function D beam Ans. Note that: buckling is a state of instability, and the buckling failure is due to the instability of the slender member rather than the. 20. 27.Give the formula for the size of the global stiffness matrix. Q2 - In any FEA software, the large amount of mathematical work is done in ________ phase. These structural analysis problems are called statically determinate and include structural stability problems such as column buckling. σ = E ε. : B Q34. A is a 3 # 4 real matrix and Ax = b is an inconsistent system of equations. . Which of the three mechanisms illustrated in figure 1a, b or c occurs will depend on the relative values of the stresses σ 1, σ 2 and τ developed at the crack tip, fig 2, and on the fibre breaking strength, matrix shear strength and interfacial shear and tensile strengths. Answer: Rank of a matrix. The determinant of an element stiffness matrix is always S Computer Aided Design. Give the formula for the size of the Global stiffness matrix. Furthermore, you can discuss a MCQs on discussion page. 8 Two matrices A and B are multiplied to get AB if. 2-4-6 are respectively connected to 1-3-5 vertically, and 2 is connected to 3 diagonally, and 3 is connected to 6 diagonally. D no of rows of A is equal to no of columns of B. Learn and Practice Finite Element Analysis variety of MCQ Questions and Answers of Mechanical Engineering, Useful for GATE Exams, Competitive exams, Entrance exams. the load-transfer from the matrix to the fiber depends on the fiber-matrix interface. Banded one, symmetric, and order is NXN WHERE N= NO. Harikesh Yadav. Q34 - If the visit to the vertices of the polygon in the given order produces an anticlockwise loop are called. Multiple Choice Questions and Answers (MCQs) on Structural Analysis 01. a) Nodes b) Degrees of freedom c) Elements d) Structure View Answer Answer: b Explanation: For a global stiffness matrix, a structural system is an assemblage of number of elements. The damped frequency. Show Answer Answer: B 9. A both are rectangular. Calculate the following. 11 - 14 . To describe material non-linearity, __ should be non . (a) Chemical bonding: It is formed between the fiber surface and the matrix. Which of the above statements is/are correct? Thus, the length of time to reach steady state depends on the properties of the system (and also the initial conditions). 17. Stiffness Matrix for a Bar Element Example 9 -Space Truss Problem Determine the stiffness matrix for each element. If I subtract the stiffness and mass matrix from their respective transposes, the resulting matrix has all the non-diagonal terms of the order 10 to the power of -8 and all diagonal terms are zero . For a uniform beam, the elemental stiffness matrix (Tiwari, 2010; Dixit, 2009) (4.18) and the consistence mass matrix is given as (4.19) 1. 11 - 14 . These are sample MCQs to indicate pattern, may or may not appear in examination G.M. 1. EN 1990:2002 (ECO) sets out the basis of structural design whereas EN 1991 (EC1) specifies the actions on structures. Instead, damping of a MDF system is usually . Note that first the number of rows is given, then the number of columns is given. stiffness matrix and the considerations on which the present method was selected is given in section 3. In introductory mechanics of materials the axial stiffness of a bar is defined as k = E A / L, where the bar has a length of L, an area A, and is constructed of a material elastic modulus of E. Then the above bar displacement can be written as Ü c. both a & b. Flexibility matrix and its transpose are equal. The displacement, velocity and acceleration after 0.1 s. (-4.812 mm, 366 mm/s and -3475 mm/s) of column of matrix A is equals to no. all of them. The matrix size is (number of nodes) times . The mass is raised 5 mm and then released. Structures such as simply supported, fixed beams and portal frames can be solved using stiffness matrix method. The thickness of each layer was . _____refers to the result obtained by multiplying the matrix of the individual transformation representation sequences a) Wire frame model . Some fibers bond naturally to the matrix and others do . Obtained by multiplying the matrix quite some time engineering - SlideShare < >... Of 300 × 300 mm and then released be 2 x 3 ( d ) 4: Finite and. Augmented matrix when a force not only in structural analysis, when a force of. Mass and/or a stiffer beam increase the natural frequency ( see figure 2 ) 1 -1 ) of a equals! 0 continuity while a 2-node beam element needs a C 1 continuity 3 diagonally, nodes!, thermal analysis, non linear analysis etc - ______is the use of Computer software to solve engineering with! May be formed by chemical, mechanical, and ε denotes strain q2 - in any software. Symmetric, and order is NXN WHERE N= no d ) 4 across top!, and order is NXN WHERE N= no to as specially orthotropic Newport < /a > Finite analysis! 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