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The principal stress o2 is -50ksi A c ksi T B 25ksi 10 ksi

The principal stress o2 is -50ksi A c ksi T B 25ksi 10 ksi

Elements Of Electromagnetics
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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**Title: Understanding Principal Stress Using Mohr's Circle** **Principal Stress Calculation:** The principal stress \(\sigma_2\) is ___________ ksi. **Explanation of the Mohr's Circle Diagram:** This image shows a Mohr's Circle diagram, which is a graphical representation used in engineering to determine the principal stresses and maximum shear stresses at a particular point on a material. The diagram consists of the following key elements: - **Circle Center (C):** The center of the circle is the midpoint of the line segment connecting points A and B on the horizontal axis (σ-axis). - **Horizontal Axis (σ-axis):** This axis represents normal stress in ksi (kilopounds per square inch). Two points of interest on the axis are: - Point A at -50 ksi - Point B at 10 ksi - **Vertical Axis (τ-axis):** This axis represents shear stress in ksi. The value at the top of the circle is +25 ksi. - **Diameter of the Circle:** The length of the line segment AB represents the difference in normal stress. The principal stresses can be found using the positions of points A and B. The maximum and minimum principal stresses are where the circle intersects the σ-axis. To find \(\sigma_2\), calculate the values corresponding to these intersections for the specific engineering context given.
Transcribed Image Text:**Title: Understanding Principal Stress Using Mohr's Circle** **Principal Stress Calculation:** The principal stress \(\sigma_2\) is ___________ ksi. **Explanation of the Mohr's Circle Diagram:** This image shows a Mohr's Circle diagram, which is a graphical representation used in engineering to determine the principal stresses and maximum shear stresses at a particular point on a material. The diagram consists of the following key elements: - **Circle Center (C):** The center of the circle is the midpoint of the line segment connecting points A and B on the horizontal axis (σ-axis). - **Horizontal Axis (σ-axis):** This axis represents normal stress in ksi (kilopounds per square inch). Two points of interest on the axis are: - Point A at -50 ksi - Point B at 10 ksi - **Vertical Axis (τ-axis):** This axis represents shear stress in ksi. The value at the top of the circle is +25 ksi. - **Diameter of the Circle:** The length of the line segment AB represents the difference in normal stress. The principal stresses can be found using the positions of points A and B. The maximum and minimum principal stresses are where the circle intersects the σ-axis. To find \(\sigma_2\), calculate the values corresponding to these intersections for the specific engineering context given.
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