please correct and neatly Transform the set of cartesian strain components(, = 400 µe(yy = 250 ue125 µe%3DYay = 275 µe%3DYyz = 175 µeYex = 225 µeinto a new set of cartesian strain components relative to an Ox'y'z' set of coordinates,where the direction angles associated with the Ox'y'z' axes aren/3R/3n/43n/41/4n/21/3n/3In/4

Answered: Transform the set of cartesian strain…

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

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Consider that l'm pulling a material with a 5N force as below: Material Hanging 5N mass And I get the following force vs strain curves below (showing how the material stretches) depending on how long the force is applied. 5N 5 N 10 12 3 4 5 6 7 89 10 to 1 2 3 4 5 6 7 89 10 0.05 0.05 0.02 0 12 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 Time (s) Time (s) What sort of material is this? What are the viscosity and spring constant of the material? What is the time threshold that determines whether the material acts as a liquid or solid? What is the characteristic frequency of the material? What real world material property does this model describe? Strain Force Strain Force
The 3-dimensional state of strain at a material point in x, y, z Q4 coordinates is given by: E ya [ε]=Ey Eyy - M E E 20 E יה = -120 0-150 0 0 0 -150 0 240 *10-6 (a) Calculate the volumetric strain and the deviatoric strain invariants (b) Calculate the mean stress and the deviatoric stress tensor (c) Write the characteristic equation of strain (d) Write the characteristic equation of stress The material is linear elastic (E=210GPa, v=0.3).
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Imagine a 3D state of strain in a mechanical part, measured perhaps by digital volume correlation or other means, given in Cartesian coordinates by = a(x² + y²), €yy = a(y² + 2²), €xy = b(xyz), €xz = €yz = €zz = 0, where and b are constants and x, y, z are coordinates in space. Determine whether this measured strain field is a possible state of strain for a continuum that remains intact and continuous after deformation. '-xx =
The 3-dimensional state of strain at a material point in x, y, z Q4 coordinates is given by: E XX [ε] = E xy Exz E EN E ZX Ezy Eyz E ZZ || -120 0-150 0 0 0 -150 0 240 *10-6 Calculate the volumetric strain and the deviatoric strain invariants (b) Calculate the mean stress and the deviatoric stress tensor (c) Write the characteristic equation of strain (d) Write the characteristic equation of stress The material is linear elastic (E=210GPa, v=0.3).

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