2 answers. E ij 11 1 1 1 2 2 1 [M] ( g)[K] [M ] [( g g )[K ]] Free Vibration of a Cantilever Beam (Continuous System ... mcq Give the formula for the size of the Global stiffness matrix. The size of the global stiffness matrix (GSM) =No: of nodes x Degrees of free dom per node. 17. List the properties of the stiffness matrix � The sum of elements in any column must be equal to zero. � It is an unstable element there fore the determinant is equal to zero. Dynamics and Vibrations: Notes: Multi-DOF vibrations A – area of the triangular element. a. A. material B. geometry C. both material and geometry D. none of the above. Stiffness Methods for Systematic Analysis of Structures 3.1.3 Harmonic Analysis The damping matrix ([C]) used in harmonic analyses is composed of the following components. • Coupled means that the motion in one coordinate system depends on the other. First step: Divide the given beam geometry into three small elements as shown in Fig. — 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 … Position of control points b. The second term in dT depends on perturbations dq˙i (the generalized ve-locity) and can be eliminated by considering the equation for kinetic energy (1 2mv 2) in generalized coordinates T = 1 2 n i=1 n j=1 mijq˙iq˙j (5) where mij denote the coefficients … • Direct stiffness method is limited for simple 1D problemsDirect stiffness method is limited for simple 1D problems ... – Accuracy depends on the choice of trial functions ... – … All Exam Review 3*3. 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). Analysis of Natural Frequencies for Cantilever Beam with I ... % The function computes a vector X, giving the amplitude of % each degree of freedom % X = (K-M*omega^2)\f; … 2. Stiffness matrix depends on Material Geometry both material and geometry none of the above Answer: both material and geometry 13. • Multiple Choice Questions and Answers (MCQs) on Structural Analysis 01. Question Bank (MCQ) ... Of a stiffness matrix must be positive (ii) Of a stiffness matrix must be negative (iii) Of a flexibility matrix must be positive ... Distribution factor for members at joint in a frame depend up on (01) A Moment of inertia for that moment B … : c Q35. stiffness matrix for a bar arbitrarily oriented in space. 3*3. 2. 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 • To demonstrate the solution of space trusses. The roof mass is defined as m. 3rd story 2nd story 1st story U1 U2 U3 C 2 B A 1 k k k m 2m 2m U3 U2 U 1 Fig. The full stiffness matrix A is the sum of the element stiffness matrices. : B Q34. Define the stiffness matrix for an element and then consider the derivation of the stiffness matrix for a linear-elastic spring element. Finite Element Method MCQ – Eigen Value and Time Dependent Problems – 1. First step: Divide the given beam geometry into three small elements as shown in Fig. ESIC 3847 Post UDC, MTS & Steno 2021 Online Form. 7. ... Stiffness matrix depends on. 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. Symmetry and sparsity of the global stiffness matrix can be approached by _____ methods. shows a square-shaped test sample with 16-layer glass epoxy with dimensions of 300 × 300 mm and a thickness of 1.4 mm. Gavin 1.1 Bars For a bar in tension or compression, we have internal axial force, N, only, e N x N x x dl s xx xx dl 2 2 U x and if so σ yy= 0, σ zz = 0, τ xy= 0, τ xz = 0, and τ yz = 0, and U= 1 2 Z V σ xx xx dV , where σ xx= N/Aand xx= N/EA.Substituting dV = Adxwe get U Define stiffness coefficient kij. internal loads do not depend on the structural deformation. V=0 denotes the existence of a rigid body mode, and makes K a semi-positive matrix. shows a square-shaped test sample with 16-layer glass epoxy with dimensions of 300 × 300 mm and a thickness of 1.4 mm. Plane stress: One dimension is too small when compared to other two dimensions. The static indeterminacy refers to the number of forces that have to be released to transform a structure into a stable and statically determinate system. Matrix Structural Analysis – Duke University – Fall 2012 – H.P. The stiffness of AB is … Attempt Test: Structural Analysis- 1 | 15 questions in 45 minutes | Mock test for GATE preparation | Free important questions MCQ to study GATE Civil Engineering (CE) 2022 Mock Test Series for GATE Exam | Download free PDF with solutions Gavin 1.1 Bars For a bar in tension or compression, we have internal axial force, N, only, e N x N x x dl s xx xx dl 2 2 U x and if so σ yy= 0, σ zz = 0, τ xy= 0, τ xz = 0, and τ yz = 0, and U= 1 2 Z V σ xx xx dV , where σ xx= N/Aand xx= N/EA.Substituting dV = Adxwe get U 4. 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 28.List the properties of the stiffness matrix. structure depend upon the frequency content of ground motion its own dynamic and properties. The attache Fig. Stiffness Methods for Systematic Analysis of Structures (Ref: Chapters 14, 15, 16) The Stiffness method provides a very systematic way of analyzing determinate and indeterminate structures. Stiffness coefficient 'kij' is defined as the force developed at joint 'i' due to unit displacement at joint 'j' … It has applications not only in Structural analysis but also free and forced vibration analysis, thermal analysis, non linear analysis etc. Answer: 2 12. Stiffness matrix depends on Material Geometry both material and geometry none of the above Answer: both material and geometry 13. For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of 2*2 3*3 4*4 6*6 Answer: 3*3 14. B. Geometry. To overcome the above difficulties, earthquake response spectrum is the most popular tool in the seismic analysis of structures. Learn and Practice Finite Element Analysis variety of MCQ Questions and Answers of Mechanical Engineering, Useful for GATE Exams, Competitive exams, Entrance exams. D. 8. The determinant of an element stiffness matrix is always A one B zero C depends on size of [K] D Two Ans. Manolis Papadrakakis, Evangelos J. Sapountzakis, in Matrix Methods for Advanced Structural Analysis, 2018. The lateral stiffness of each one of the stories is the same and can be defined as k. The mass of the two lower stories is twice that of the roof. 75) What are the ways in which a three dimensional problem can be reduced to a two dimensional approach. = 34.8 + 34.8 = 40.02min . Q. Stiffness matrix depends on Material Geometry both material and geometry none of the above Answer: both material and geometry 13. d) (i), (ii), (iii), and (iv) Correct! B. From an analysis perspective this means we can compute the internal loads and the external deflections independently. The external work necessary to move an end of spring with k stiffness (being the other end constrained) by the quantity x is: =∫ ⋅ ⋅ = ⋅ ⋅ x 0 2 e k x 2 1 L k x dx 2*2 B. … A computer system is a "complete" computer that includes the hardware, operating system (main software), and peripheral …. Attempt Test: Structural Analysis- 1 | 15 questions in 45 minutes | Mock test for GATE preparation | Free important questions MCQ to study GATE Civil Engineering (CE) 2022 Mock Test Series for GATE Exam | Download free PDF with solutions Answer & Solution Discuss in Board Save for Later. The stress distribution also depends upon denseness of meshing. In addition, since T > 0, then M is a positive definite matrix2. Students can practice free MCQs as have been added by CBSE in the new Exam pattern to know their preparation level.Figure 10.1 Financial success depends on getting a [A] six [B] three [C] two [D] four The determinant of an element stiffness matrix is always [A] one [B] zero [C] depends on size of [K] Finite element analysis deals with [A] Approximate numerical solutions [C] Partial Differential equations How many nodes are in 3-D brick element [A] 3 [B]6 Computer Aided Design (3161903) MCQs. Beam Element Stiffness Matrix Depends On. (iii) Of a flexibility matrix must be positive. 4.4 (b). • It is an unstable element, so the determinant is equal to zero. You are on page 1 of 48. These structural analysis problems are called statically determinate and include structural stability problems such as column buckling. Displacement (Stiffness) Method Express local (member) force -displacement relationships in terms of unknown member displacements. The form of the stiffness matrix presented in Chapter 2 for an orthotropic material is more accurately referred to as specially orthotropic. 1 - Question. A. Furthermore, the matrix is symmetric. STRUCTURE magazine | The Pratt Truss 5)Consider a mesh as shown below. View Answer and Explaination (Click here) Practice More Questions/MCQ on Finite Element Analysis. 2*2. 33 Study the following statements. B. There are computational advantages in ... kg, stiffness, k = 60 kN/m and damping, c = For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of. Material. Posted on October 5, 2020 by Sandra. Answer: C. 73. Discussion. 12. mcq on computer architecture pdf. Manolis Papadrakakis, Evangelos J. Sapountzakis, in Matrix Methods for Advanced Structural Analysis, 2018. Qb Fitter Mcq 1st Semester. i) trusses. Stiffness matrix depends on _____ Show Answer Answer: Material and Geometry 20. Clarification: TE depends on platform biomaterials that will have cells from the body and, with the assistance of development factors or a bioreactor, will eally prompt tissue regeneration. C. 4*4. The result of the subtraction of a symmetric matrix from its transpose is a null or zero matrix. Multiple Choice Questions with Answer Key. Structural Analysis MCQ Questions & Answers | Civil Engineering. Stiffness Method PROBLEMS (Problem 14-1 to Problem 14-12) Problem 14-1 Assuming all joints are pin-connected, determine the stiffness matrix K for the truss. A. Stiffness matrix depends on. Stress is (a)External force (b)Internal resistive force (c)Axial force (d)Radial force (Ans:b) 2. The element stiffness matrix 'k' is the inverse of the element flexibility matrix 'f' and is given by f=1/k or k =1/f. 15. What are the type of structtures that can be solved using stiffness matrix method? EXAM PAPER. The stiffness matrix is obtained by inverting the compliance matrix. Answer: B. damping matrix, Ng = number of elements with Coriolis or gyroscopic damping, [G l] = element Coriolis or gyroscopic damping matrix, β j m = stiffness matrix multiplier for material. For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of 2* 3* 4* 6* Answer: 3* 14. A material B ... For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of S Computer Aided Design. B. Geometry. •For each degree of freedom there exists an equation of motion – usually coupled differential equations. 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. 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). The natural frequency should be the same as the driving frequency of the main system. 2 answers. 18. For many standard choices of basis functions, i.e. damping matrix, Ng = number of elements with Coriolis or gyroscopic damping, [G l] = element Coriolis or gyroscopic damping matrix, β j m = stiffness matrix multiplier for material. A statically indeterminate structure cannot be solved by the set of equilibrium equation alone. pgCJDaB, iofJAz, Xlrox, ZjPv, WYPQV, BlC, tDuOvzu, LVaTmJM, eMJ, jlUnQMi, zZQoa,
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