Consider another 2D displace- ment field measured on the surface of a material using digital image correlation and given by u = [k(2x + y²), k(x² - 3y²), 0]T (T stands for transpose, so that we can think of u as a column vector, as it was introduced in class), where k 10-4. The original configuration of an infinitesimal element in the body is shown in Fig. 1 and has side lengths dx and dy. = (a) Show the distorted configuration and determine the new lengths, da' and dy', angle between each side deformed side using linearized metrics. (b) Find the new location of the point (2,1,0) after displacement. (c) Find the strain tensor at the point (2,1,0) and the rotation of the point (2,1,0) about the axis (0,0,1) after displacement.

Consider another 2D displace- ment field measured on the surface of a material using digital image correlation and given by u = [k(2x + y²), k(x² - 3y²), 0]T (T stands for transpose, so that we can think of u as a column vector, as it was introduced in class), where k 10-4. The original configuration of an infinitesimal element in the body is shown in Fig. 1 and has side lengths dx and dy. = (a) Show the distorted configuration and determine the new lengths, da' and dy', angle between each side deformed side using linearized metrics. (b) Find the new location of the point (2,1,0) after displacement. (c) Find the strain tensor at the point (2,1,0) and the rotation of the point (2,1,0) about the axis (0,0,1) after displacement.

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

The following integrand is the product of an odd and an even function. What is the result of the integral ſ²2₂t² sin(t) dt. -2 1 B. Ao ∙1 C. Ao = 5/6 D. A₁ = 0 A. Ao Hint: Integration property of odd/even functions in symmetrical domains. - = E. None of the above
Answer the following question considering the following 3D vector field F: (Hint: You may need to remember properties of div and/or curl operations mentioned at the end of notes given in Week &8) F (x, y, z) = zx i + eY j + xyz² k Can F be the curl of another vector field? Why? Why not?
How to calculate the gradient of the following scalar field: (can you also provide a step by step solution)
Assume an arbitrary displacement field that depends only on the field variable. x2 and time t, determine what differential equations the displacement field must satisfy in order to be a possible motion (with zero body force).
Why is et = 4/5 i - 3/5 j and en = 3/5 i + 4/5 j . Finding it hard to visualise, are u able to draw it out and derieve it? I just need to know how to derive et and en
QUESTION 1 In a 2D world, transformation A is a reflection about y-axis, and transformation B is rotation of 30 degrees. What is going to be the first row of the transformation that is A then B? O [0.866, 0.5] O [0.866, -0.5] O [-0.866, -0.5] O [-0.866, 0.5]
are An experiment was done with some particles. These particles were Cx subjected to a field B. It was discovered that the particles only reacted in one of two ways. The reaction is either in the same direction of the field or the opposite direction of the field. The magnitude of the reaction is always [P's C| in either case, and there are always equal amounts of particles in alignment with B or in opposite direction of it. What observations allow you to claim that there is an operator Sz associated with the observations? (Use less than 10 words!) The particle can react linearly in botniclirectionns Witn. the same monient um a. What are the eigenvalues to Ŝ;? Create your own eigenvectors to Ŝz and complete this equation: U. $. IY) = \P SC| 14> c. Before the experiment, these particles are all in the superposition state of all possible states. Considering only the states relevant in this experiment, write down this superposition state with the correct coefficients for each individual…
Solution for direct kinematics, table with DH parameters and DH transformations q=[theta1, d2, d3] (joint variables)
For the area shown in the figure below, OAC is the area of a sector with center at C and radius OC=AC=4*sqrt(2)~5.657 units. This is part 1. Part 2 is the triangle COD. Part 3 is the triangle CAB. Determine, using the method of composite areas, the second moments of area of part 1 about the y-axis [units^4]. Determine, using the method of composite areas, the second moments of area of part 2 about the y-axis [units^4]
Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 S 27.) (a) (3V3, 3, -1) (b) (8, -6, 1)
I confused following this picture why (3.85-1.033)*10^-6
Given the two charged particles shown in the figure below, find the electric field at the origin. (Let q₁ = -30.00 nC and 92= 7.00 nC. Express your answer in vector form.) 88521.16i + 62510.84j N/C -4 92 -2 X y (cm) 91 4 x (cm)