2.30 A state of stress relative to rectangular axes is given by40 3010 20 MPa20 50204030Finda. The deviatoric stress tensor and the principal stressesToctb. The ratioTmax

Consider standard form a stress tensor.here are normal stresses, and are shear stresses.Compare it…

Answered: A state of stress relative to…

A state of stress relative to rectangular axes is given by 20 40 30 40 -10 20 MPa 20 50 30 0₁2 Find a. The deviatoric stress tensor and the principal stresses Toct b. The ratio Tmax

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

2.30 A state of stress relative to rectangular axes is given by
40 30
10 20 MPa
20 50
20
40
30
Find
a. The deviatoric stress tensor and the principal stresses
Toct
b. The ratio
Tmax

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Step 1: Compare the given stress tensor with standard form.

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Step 2: Evaluate stress invariants.

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Step 3: Evaluate principal stresses.

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Step 4: a) Evaluate deviatoric stress tensor

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Step 5: b) Evaluate maximum shear stress and octahedral shear stress.

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