The deviatoric principal strains at a point in a loaded member are E₁, E2, E. Show that ₁+₂+3=0 (ej)² + (ej)² + (ej)² = }{[(e₁ − €2)² + (ez − €3)² + (€3 − €1)²]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The deviatoric principal strains at a point in a loaded member are ₁, 2, 3. Show that
₁ + ₂ + 3 = 0
(ej)² + (e₂)² + (ez)² = [(e₁ = €₂)² + (€2 − €3)² + (€3 − €₁)²]
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Transcribed Image Text:The deviatoric principal strains at a point in a loaded member are ₁, 2, 3. Show that ₁ + ₂ + 3 = 0 (ej)² + (e₂)² + (ez)² = [(e₁ = €₂)² + (€2 − €3)² + (€3 − €₁)²] -
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