The general form of the element stiffness matrix system, with nodes indexed by i and j, is given as, - FO AE 1 L [47] {"; } = {FNG)(x) dx} + {N, (1)f(1) = N;(0) FO where F0 and f(1) denote boundary forces at positions x = 0 and x = 1, respectively. Form the two basis functions for element 2, and evaluate the right hand side vector of the matrix system 2 to form the local system of equations for element 2. Then use the local system for element 1 given by (3) 410-{2} -1] Ju₁) (2500- FO 2500 ¹ to form and solve the global system of equations for u₁, u₂ and u3. AE 1 L

The general form of the element stiffness matrix system, with nodes indexed by i and j, is given as, - FO AE 1 L [47] {"; } = {FNG)(x) dx} + {N, (1)f(1) = N;(0) FO where F0 and f(1) denote boundary forces at positions x = 0 and x = 1, respectively. Form the two basis functions for element 2, and evaluate the right hand side vector of the matrix system 2 to form the local system of equations for element 2. Then use the local system for element 1 given by (3) 410-{2} -1] Ju₁) (2500- FO 2500 ¹ to form and solve the global system of equations for u₁, u₂ and u3. AE 1 L

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

2) The vertices of a wedge are given in the matrix show below. Rotate the wedge 30* CCW around the x-axis and then 45° CW around the y-axis. r0 0 0 0 0 11 4 0 0 [P] 4 0 2 0 3 o 3 0.
Determine the DE for: Straight lines at a fixed distance P from the origin. a. (xy" – y)? = P²[1+ (y')²] %3D b. (xy' – y)? = p2[1+ (y')²] c. (xy' – y)3 = p3[1+ (y')³] d. (xy" – y)3 = p³[1 + (y')³] e. none of these
Q1: * Q1 Calculate The Inverse Of The Matrix: [4 A= 2 -2 11 4 4 3 1 Add file Q2: * Using Green's theorem, evaluate the line integral (y- a)dr- (x +y°)dy, where the contour C encloses the sector of the circle with radius a lying in the first quadrant 0 = 1/2 R >-0 a
4. Choose the correct order to match the following Standard Matrix Iteration solution procedures to obtain the highest natural frequency * Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Define the initial trial vector (X) Check the convergence, use for a new trial (X} Calculate inv[M] When it is converged, wn = sqrt(Xnormalized) Normalized the result (Xnew}/largest Xnew Identify matrix [K] and [M] Multiply inv[M] [K] {X} = {X new} This question requires at least one response per row
An orthogonal basis for the column space of matrix A is {V₁, V₂, V3}. Use this orthogonal basis to find a QR factorization of matrix A. Q=₁ R= (Type exact answers, using radicals as needed.) A= 1 -1 1 1 25 -2 1 23 42 48 V₁ 11 1 - 1 1 V₂ = 1 2 1 گیا II 3 3 W 3
Remaining Time: 46 minutes, 46 seconds. V Question Completion Status: A Moving to another question will save this response. Question 16 ets Which system of equations corresponds to the following augmented matrix? [1 31 1 Lo -1 b +c = 4 x + 3y = 6; -x - y = -4 -1 41 A. a + 2b = 3; b + 3c = 6; B. x + 2z = 3; C. u + 2v = 3w + 3; v + 3w = 6; v+w = -4 st D.r + 2s = 3; s + 3t = 6; -s - t = 4 O A. OC. O B. O D. A Moving to another question will save this response. «< Question earch
R(S) XIS K 1 s+5 s+ 2 S+3 Y(s)
Solve the following: (Show all details) 1. Let matrices be ГО 21 C = 2 4 li 3] [0 -5 -3] 11 D = |-4 7 L-8 3. 4] [6 A = |-1 2 2 B = |-5 2 4 4. L-3 4 [-4.5] v =| 0.8 u = |0 1.2. Find the following expressions or give reasons why they are undefined. i. C+ D, D + C, 6(D-C), 6C-6D ii. A + C-D, C-D, D-C, B + 2C + 4D iii.33u, 4v + 9u, 4(v + 2.25u), u-v
Resolve for the x and y component of F3. y F3%3D650 N 3) F, = 750 N %3D 45° F = 900 N X component of F3: [Choose] y component of F3: [ Choose ]
B= X+3,Z-1,L b) Two of the three direction angles of line QP are B=90 and y=90 degrees. The force F=XZV acts on line AB as shown. F XZV First generate your data using your ID code A= X,Z-1,L F=XZV=118 A ( 1,0,8) B (4, 0, 8) E(-1, 0,8 ) E(-X, Z-1, L) (i) Determine the unit vector of each line, (ii) Determine the Cartesian components of the force F=XZV, (iii) Determine the angle between the two lines, (iv) Determine the moment of the F force about point E. (v) Determine the angle between line AB and the y axis.
Determine if the system is consistent or inconsistent. Justify your answer and find all solutions to the system of linear equations. Justification should be written on your solution paper. Transform the matrix into ROW ECHELON FORM (REF) using row operations. 2x +8y+ 6z = 20 4x+2y-2z =-2 3x-y+z = 11 Enter final answer: (x, y, z) =(
secondary spacecraft reference plane primary spacecraft primary orbit plane Once you fix the primary or target spacecraft (the selection of primary spacecraft is only a matter of context), the relative motion of the secondary spacecraft is governed by the following initial value problem: a" 2wy - 3w? a = fz; x (0) = *0, x' (0) = x, y" + 2wa' = fy; y (0) = Yo, Y (0) = % 2' + w? z = fa; z (0) = 20; z' (0) Where w stands for the mean angular velocity of the primary spacecraft within its orbit plane. Also, fy represents the differential acceleration on the secondary spacecraft. fz x (t) Assuming there is no external force acting on the secondary spacecraft, use Laplace Transform to determine its position y (t) in the space. Your z (t) answer will be in terms of w and the set of intial conditions. Hint: The z part of the given IVP is a second order IVP by itself. Therefore it can be solved for z using Laplace Transform. For each of the first two differential equations (from the top), begin…