**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.

To find: The principle stress σ2. Given: Consider the figure below:

Answered: The principal stress o2 is -50ksi A c…

Engineering

Mechanical Engineering

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

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

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

**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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