2.) The state of stress at a point is given with respect to the Cartesian axes (x, y, z ) by the0 4 2stress tensor, (0)=4 0 22 2 6ksiDetermine:a.) the principal stresses ( Eigenvalues)b.) the principal directions ( Eigenvectors)c.) the maximum shear stress

Write the given stress tensor. σ=042402226 ksi (a) Write the characteristic equation for the given…

Answered: 2.) The state of stress at a point is…

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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Question 1: The state of strain at a point on a plate is measured using the strain rosette shown in Figure Q1. Due to the loadings, the readings from the gauges give Ea = -60 x 10-6 mm/mm, b = +350 × 106 mm/mm, and &c = +300 x 106 mm/mm. a) Provide the strain tensor. b) Determine the principal strains and corresponding directions (in degrees). c) Draw a complete strain Mohr diagram with labels. Show the given state of strain, principal strains and their orientations in the diagram. d) Is it possible for both plain stress and plain strain to occur concurrently? Explain. b 45° Figure Q1 45°
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2.) The state of stress at a point is given with respect to the Cartesian axes (x, y, z) by the 0 4 2 stress tensor, [0]%=4 0 2 ksi 2 26 Determine: a.) the principal stresses ( Eigenvalues) b.) the principal directions ( Eigenvectors) c.) the maximum shear stress