For the state of stress shown, determine the range of values of \( \tau_{XZ} \) for which the maximum shearing stress is equal to or less than 90 MPa. Take \( X = 70 \) MPa.The diagram depicts a 3D stress element with the following details:- An arrow representing \( \sigma_y = 150 \) MPa is applied in the vertical direction (y-axis).- The horizontal plane (x-z plane) shows shear stress \( \tau_{XZ} \).- The axes are labeled as x, y, and z, with \( X \) indicated as 70 MPa along the x-axis.The required range of values for \( \tau_{XZ} \) is:\[ \text{MPa} \leq \tau_{XZ} \leq \text{MPa}. \]

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For the state of stress shown, determine the range of values of Txz for which the maximum shearing stress is equal to or les MPa. Take X= 70 MPa.

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

For the state of stress shown, determine the range of values of \( \tau_{XZ} \) for which the maximum shearing stress is equal to or less than 90 MPa. Take \( X = 70 \) MPa.

The diagram depicts a 3D stress element with the following details:
- An arrow representing \( \sigma_y = 150 \) MPa is applied in the vertical direction (y-axis).
- The horizontal plane (x-z plane) shows shear stress \( \tau_{XZ} \).
- The axes are labeled as x, y, and z, with \( X \) indicated as 70 MPa along the x-axis.

The required range of values for \( \tau_{XZ} \) is:
\[ \text{MPa} \leq \tau_{XZ} \leq \text{MPa}. \]

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