[7] Given the following stress tensor in Cartesian coordinates:-2.123.69[2.74[0] =-Sym4.07-3.02| · 103 ΚΡα5.05(a) Find the stress tensor in a new coordinate system rotated 30° around the z-axis.(b) Find the principal stresses and the direction of the 011.

σ=2.74-2.124.07-2.123.69-3.024.07-3.025.05*103kPa

[7] Given the following stress tensor in Cartesian coordinates: [2.74 -2.12 3.69 Sym (a) Find the stress tensor in a new coordinate system rotated 30° around the z-axis. (b) Find the principal stresses and the direction of the 11. [0] = 4.07 −3.02| · 103 ΚΡα 5.05

[7] Given the following stress tensor in Cartesian coordinates: [2.74 -2.12 3.69 Sym (a) Find the stress tensor in a new coordinate system rotated 30° around the z-axis. (b) Find the principal stresses and the direction of the 11. [0] = 4.07 −3.02| · 103 ΚΡα 5.05

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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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

[7] Given the following stress tensor in Cartesian coordinates:
-2.12
3.69
[2.74
[0] =
-
Sym
4.07
-3.02| · 103 ΚΡα
5.05
(a) Find the stress tensor in a new coordinate system rotated 30° around the z-axis.
(b) Find the principal stresses and the direction of the 011.

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