the element displacement vector q represented by mcqhow should a leather motorcycle jacket fit

What are the requirements to be satisfied while analyzing a structure? Answer: a Clarification: Once the shape functions are defined, the linear displacement field within in the element can be written in terms of nodal displacements q 1 and q 2 and matrix notation as q=[q 1,q 2 . U2 . PDF Prof. Suvranu De Linear shape functions in 1D Quadratic ... In mathematics and physics, a vector is an element of a vector space.For many specific vector spaces, the vectors have received specific names, which are listed below. Nodal Displacement - an overview | ScienceDirect Topics FEM MID-II BITS. b= force transformation matrix . The phase margin (in degrees) of a system having the loop transfer function G(s) H(s)=2√3/s(s+1 . Fig. a. m 1 m 2 G/R 2. b. m 1 m 2 /R 2. c. m 1 m 2 G 2 /R. This set of Finite Element Method Multiple Choice Questions & Answers (MCQs) focuses on "Two Dimensional Isoparametric Elements - Four Node Quadrilateral". V3 . The displacement is independent of the path taken between the two points displacement is a vector (it has length and direction). We also consider that it can only move in the x-direction. After minor rearrangement of the nodal equilibrium equations, it is possible to represent them in terms of a matrix notation Ku = F.Here, the elemental stiffness matrix could be interpreted as a linear transformation matrix, which linearly transforms nodal displacement vector, u of an element onto corresponding nodal force vector, F. method. B [ ]) square of instantaneous current. Several graphics image file formats that are used by most of graphics system are a) GIF b) JPEG c) TIFF All the calculations are made at limited number of points known as Elements Nodes descritization mesh 3. Thus it only has 1 DO per node. Looking at the dotted line, which represents the assembly of the element mass matrix and stiff matrix can be carried out by conventional finite element method. a b This image illustrates the difference between displacement and distance traveled. PDF Finite Element Method: an Introduction Hence, strain is a constant within each element (only for a linear element)! Finite Element Method Mcqs - Engineering Mcqs Electric displacement is used in the dielectric material to find the response of the materials on the application of an electric field E. In Maxwell's equation, it appears as a vector field. 2.2. 2-FEA MCQ_2 one marks.pdf. In 2D elements. PDF Some Basics In Modeling Of Mechatronic Systems Statement I: If dot product and cross product of A → and B → are zero, it implies that one of the vector A → and B → must be a null vector. Q1 0 q2 0 q3 0 [B] = 1/2A 0 r1 0 r2 0 r3 250+ TOP MCQs on One Dimensional Problems - Co-ordinates ... rz 22 22 11qqq Here, rr r z a1 a1 r 1 cos 1 cos rr r r r a1 a1 1 cos 1 cos 0. rr rr Hence, the vector field represents a possible flow. Just at the same time, Laplace gave a rule for calculation magnitude of magnetic field produced. Pixel can be arranged in a regular a) One dimensional grid b) Two dimensional grid c) Three dimensional grid d) None of these 5. Answer: A. (1) When the point is on the diameter and away from the centre of hemisphere which is charged uniformly and +vely, the component of electric field intensity parallel to the diameter cancel out. The reason for the choice of these names will The fnite element method formulaton of problem result in a system of A] algebraic equatons B] logical equatons C] arithmetc equatons D] How equaton Ans. Let a x and a y be unit vectors along x and y directions, respectively. The element stiffness matrix for a truss element is given by. In polar plots, what does each and every point represent w.r.t magnitude and angle? V2 . d. Displacement function u = u (x,y) N1 0 N2 0 N3 0 U1 . Each element node has 3 degrees-of-freedom (DOF): DOF 1 and 2 for solid displacement (u) and DOF 3 for fluid pressure (p). Take A = 250 mm2 , E = 200 GPa for all elements. A displacement is a vector whose length is the shortest distance from the initial to the final position of a point P. It quantifies both the distance and direction of an imaginary motion along a straight line from the initial position to the final position of the point . Question: 18. The three D truss element can be treated as straight forward generalization of the 2D truss element. 2. On gathering stiffness and loads, the system of equations is given by. The relationship of each element must satisfy the stress-strain relationship of the element material. • Properties of interpolation - Deflection is a cubic polynomial (discuss accuracy and limitation) - Interpolation is valid within an element, not outside of the element - Adjacent elements have continuous . The components of this vector are the Cartesian coor-dinates of O i in the jframe, which are the projections of the vector jp i onto the corresponding axes. Then the area and line elements are and the right-hand side of (1) becomes Since the spring element has two degrees of freedom, the interval elemental stiffness matrix is of order 2 × 2. λ Q ⎥ (9) Where denotes the . T d ⎡⎤ ⎡⎤ •• ⎡⎤ τ− ⎢⎥⎢⎥=⎢ ⎢⎥⎣⎦⎢⎥⎣⎦⎣⎦ q. q q MCq. Electromagnetics & Transmission Lines Questions and Answers. 1. Problem 4 To find the deformation of the shape X K 1 K 2 u 1 F 1 u 2 F 2 u 3 F 3 1 2 3 For element 1, k 1 k 1 u 2 f 1 2 k 1 3 k 1 u f 2 2 element 2, k 2 k 2 u 2 f 2 k . One dimensional problems. 70. Finite Element Method Mcqs - MCQ Questions and Answers for interview, . V3 . The element displacement vector q represented by [ A ] T T T A) q = [ q1, q2] . proportional to the. C [ ]) square of the rate of change of current. Hence, 1 ( 2 . EI L L L PL EI PL u 48 5 3 2 2 2 2 2 2 1 3 1 1 21 ⎥= = + (2.5) where u21 is the deflection at C(2) when load is applied at B(1) .Now the total deflection at C when both the loads are applied simultaneously is obtained by adding u22 and u21 . 24. We also consider that it can only move in the x-direction. Take A = 250 mm2 , E = 200 GPa for all elements. Finite element Analysis OBT. 25. Take E = 70 GPa, and A = 200 mm2 [AU, May / June , Nov / Dec - 2016] 35. 6. CBSE Class 11 Physics MCQs Set 3 with answers available in Pdf for free download. Is k singular or non singular? Formally, the first algebraic equation represented in this matrix equation becomes: −50U 2 = F 1 and this is known as a constraint equation, as it represents the equilibrium condition of a node at which the displacement is constrained. The stress transformation relation for any other orientation (e.g., x', y') is found by applying equilibrium equations (∑ F=0 and ∑ M = 0 ) keeping in mind that F n = σ A and F t = τA . 2.1(b), namely that of an infinitesimally small fluid element moving with the flow. Isoparametric Formulation of the Bar Element Step 3 -Strain-Displacement and Stress-Strain Relationships To construct the element stiffness matrix, determine the strain, which is defined in terms of the derivative of the displacement with respect to x. The law is then used with S, a surface having its enclosing contour C at the arbitrary radius r, as shown in Fig. An element stiffness matrix and a vector of external forces are obtained considering the element axis coincident with the elastic center axis. Ans. Answer:-B : 3x. Take E = 70 GPa, and A = 200 mm2 [AU, May / June , Nov / Dec - 2016] 35. Biot Savart's law is experiment done by Biot and Savart to find magnetic field induction at a point due to small current element. b) Differential equations. Because of the constraint of zero displacement at node 1, nodal force F 1 becomes an unknown reaction force. Ans. For plane stress problems with thickness he, it is assumed that all quantities are independent of the thickness co-ordinates z. Suppose an object is at point A at time = 0 and at point B at time = t. The position vectors of the object at point A and at point B are given as: Position vector at point A= ^rA = 5^i +3^j +4^k A = r A ^ = 5 i ^ + 3 j ^ + 4 k ^. The rain and the cold have worn at the petals but the beauty is eternal regardless (D) 26) The element displacement vector Q represented by A) Q=[ Q1 Q2]T B) Q=[Q1 Q2] C) Q=[Q1×Q2]T D) Q=[Q1/Q2]T Ans. Mechanics of Elastic Solids. 5 Stiffness equation for a discrete element. Vector Forces q Q ^r The Electrostatic Force is a vector : The force on q due to Q points along the direction r and is given by r F KqQ r = 2 r$ q 1 Q F 1 q 2 q 3 F 2 F 3 Vector Superposition of Electric Forces: If several point charges q 1, q2, q 3, … simultaneously exert electric forces on a charge Q then F = F 1 + F 2 +F 3 + … 68. A vector function is given by. . Thus, to represent a velocity vector (, , )vv vx yz, we use the notation vi, where it is implied that the index i takes the values 1, 2 and 3 in a 3-dimensional space. At each of F its nodes, it can have a force and a displacement (again both in the x Displacement function u = u (x,y) N1 0 N2 0 N3 0 U1 . 8. 7. The finite element method is mostly used in the field of. U3 . If not, why? 9. a) Scalar b) Vector c) Phasor d) Differentiator Answer: c Explanation: Each and every point on the polar plot is the phasor where value of frequency varies. Thus it only has 1 DO per node. A. KQ=F B. KQ>F C. K=QF D. K<QF. The first term in equation (18) corresponds to strain energy stored in the element, the second represents the work potential of the body force, and the third represent the work potential of surface forces. The deformed elements fit together at nodal points. 38 CHAPTER 2. In this notation, a 2×1 matrix is used to represent the vector. U2 . 2.197) Determine the nodal displacement, element stresses and support reactions in. In 1820 Oersted found that when current in passes through a conductor, magnetic field is produced around it. A vector is defined by its magnitude and its orientation with respect to a set of coordinates. TasDia Network is a free education & learning platform, for the global community of students and working professionals, where they can practice 500k+ multiple choice questions & answers (MCQs) Q 12. Chapter 8 The Simple Harmonic Oscillator A winter rose. Statement II: Null vector is a vector with a zero magnitude. MAE 456 FINITE ELEMENT ANALYSIS EXAM 1 Practice Questions 11 19. A . v(x,y) 0 N1 0 N2 0 N3 V1 . examveda.com is a portal which provide MCQ Questions for all competitive examination such as GK mcq question, competitive english mcq question, arithmetic aptitude mcq question, Data Intpretation, C and Java programing, Reasoning aptitude questions and answers with easy explanations. rate of change of current. R = external force/load matrix/ vector . The line integral of above function. _____ (a) Setting vector (b) Vector element (c) moving vector) Vector function (d) Vector form function (a) Explanation: Once the shape functions are defined, the linear shift field within the element can be written in terms of the q1 and q2 nodal shifts and matrix notation such as q=[q1,q2]. The element displacement vector q represented by q = [ q1, q2]T q = [ q1, q2] q = [ q1x q2]T q = [ q1/q2]T 2. In general, a Euclidean vector is a geometric object with both length and direction (and so is frequently represented as a ray).Such vectors can be added to each other or scaled using vector algebra. ∫ C. ⁡. The basis vectors ˆu and ˆv, defined to be unit vectors pointing in the directions of increasing u and v, respectively, are easily shown to be given by. Click to See Answer : 34. 62) Write a displacement function equation for CST element. The motion of this fluid element is shown in more detail in Fig. D [ ]) temperature of the inductor. For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of A : 2x B : 3x C : 4x D : 1x. The MCQ Questions for Class 11 Physics with answers have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Standard 11 by CBSE, NCERT and KVS. Amazing but true, there it is, a yellow winter rose. Answer: C. 67. Continuum Mechanics - Elasticity. Where N1, N2, N3 are shape functions. The displacement u, however, is now a function of s so we must Strain displacement matrix for CST element is . 62) Write a displacement function equation for CST element. It melts completely in 100 sec . Answer/Explanation. The nodal displacement vector is given by q=[0,0,2,2,1.6,1.2,0,0.6]T. Evaluate the stress at the point P(7,12) of the element, assuming plane stress condition. A [v]) product of the instantaneous current and. Fig. The element displacement vector q represented by q = [ q1, q2]T q = [ q1, q2] q = [ q1x q2]T q = [ q1/q2]T 9. In q=[q 1,q 2] T is defined as _____ a) Element displacement vector b) Element vector c) Displacement vector d) Shape function vector. d2x d1x x x1 x2 El #1 x x1 x2 El #1 w(x) =a0 +a1x Displacement is linear Strain is constant 2 1 2x 1x x x d -d ε − = dx du Recall that the stress in the bar σ=Eε=E Hence, inside the element, the approximate stress is σ=EB d (3) For a linear element the stress is . At each of F its nodes, it can have a force and a displacement (again both in the x the truss element shown in figure. 69. 63) Write a strain-displacement matrix for CST element. Particle P has an acceleration of X m/s 2 for the first half of the total time and 2x m/s 2 for the second half. c) Partial derivatives. a) Numerical integration. Q: Heat is being supplied at a constant rate to a sphere of ice which is melting at the rate of 0.1 g/sec . Click to See Answer : 4.2.1 Individual Element We consider here the most basic form of stiffness analysis. u = (element nodal) displacement vector f = (element nodal) force vector Note: That k is symmetric. The coordinate system has a unique origin and span the entire domain is local global continuum discrete global 10. u = (element nodal) displacement vector f = (element nodal) force vector Note: That k is symmetric. From equation of continuity, rz 11 (q ) (q ) (q ) 0 rr r z . Q: Heat is being supplied at a constant rate to a sphere of ice which is melting at the rate of 0.1 g/sec . The nodal displacements are q1 and q7 ( Figure 9.9 (b)) and a linear displacement model leads to the stiffness matrix (corresponding to the axial displacement) as. An element stiffness matrix and a vector of external forces are obtained considering the element axis coincident with the elastic center axis. For two-dimensional vectors, these components are horizontal and vertical. the truss element shown in figure. The points where triangular elements meet are called ____ a) Displacement b) Nodes c) Vector displacements d) Co-ordinates Answer: b Explanation: The two dimensional region is divided into straight sided triangles, which shows as typical . Where g=[12EI/(kGAL^2)] , and q(t) is the displacement vector for a 1-D element where nodal 1 contain [u1 theta1] and nodal 2 contain [u2 theta2] (u means the transverse direction and theta means . The SI unit of electric displacement is Coulomb per meter square (C m-2). For the beam elements shown (with shape functions given below), the nodal displacements have been calculated in meters and radians as: 0.0076 0 0 0.010 0.0076 0 3 3 2 2 1 1 v v v D a) Plot (sketch) the vertical displacement v(x) for the entire beam (both elements). Hence, the last term in (1), the displacement current, is zero. 10. How can a rose bloom in December? Problem 4 To find the deformation of the shape X K 1 K 2 u 1 F 1 u 2 F 2 u 3 F 3 1 2 3 For element 1, k 1 k 1 u 2 f 1 2 k 1 3 k 1 u f 2 2 element 2, k 2 k 2 u 2 f 2 k . Vector Calculus MCQ Question 19. vs() {}N q-0.2 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0 N 1 N 3 N 2 /L N 4 /L 22 FINITE ELEMENT INTERPOLATION cont. 6) Instantaneous power in inductor is. 1.2.1 Position and Displacement The position of the origin of coordinate frame irelative to coordinate frame jcan be denoted by the 3×1 vector jp i= jpx i jpy i jpz i . As a philosophical preamble, it is interesting to contrast the challenges associated with modeling solids to the fluid mechanics problems discussed in the preceding chapter. The plane stress state at a point is uniquely represented by three components acting on a element that has a specific orientation (e.g., x, y) at the point. Is k singular or non singular? Introduction to Finite element analysis McQ. Q 11. The elements of the matrix or components of the vector are their displacements along the x and y-axes. 33. F ⋅ d l. Along the curve C, which follows the parabola y = x 2 as shown below is ______ (rounded off to 2 decimal places) For three dimensional vectors, the magnitude component is the same, but the direction component is expressed in terms of x , y and z . The three conditions to be satisfied are: (a)Equilibrium condition (b)Compatibility condition (c)Force displacement condition. 2.197) Determine the nodal displacement, element stresses and support reactions in. Q1 0 q2 0 q3 0 [B] = 1/2A 0 r1 0 r2 0 r3 F = a x y - a y x. {Q} =[b]{R} where Q=member force matrix/vector. The vectors, a and b can be described using column matrices, where a = and b = . Codes: Explanation: Stiffness is the resistance to deflection. two new variables p and q, the so-called energy variables, given by () 0 d 0dor d t p tp e pe t =+ =∫ ττ (2) and () () 0 d 0dor d t qt q f q f t =+ =.∫ ττ (3) In the literature the vector p is often referred to as the generalized momentum vector and q as the generalized displacement vector. Write the element stiffness for a truss element. On Toppr Answr you can scan any question, and get its answer instantly If not, why? (A) 27). When thin plate is subjected to loading in its own plane only, the condition is called plane stress Plane strain zero stress Assume that points 1 and 3 are fixed. 1.4.2. Multiple Choice Questions are an important part of exams for Grade 11 Physics and if practiced properly can help you to get higher . ghZw, PvvlyZ, aEav, WUOPJP, Vha, itTYkL, FmcbQ, icr, KoM, mEl, uwLJIR, dJqD, lPH,
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