# Angle of the shaft and Mohr's Circle question

• mikex24
In summary, the angle of the shaft in relation to Mohr's Circle is the orientation of a shaft or rod in relation to the principal stress directions. It can be calculated by finding the tangent of the angle between the center of Mohr's Circle and the point representing the state of stress. The angle is significant in determining maximum shear and normal stress, understanding stress distribution, and potential failure modes. It can be negative, indicating a counterclockwise orientation, and can affect the safety factor by changing the magnitude and direction of maximum shear stress.
mikex24

## Homework Statement

Shaft diameter: 0.2m, Torque: 150 KNm, Axial Thrust(compressive): 520KN

Trying to find the angle between maximum principal stress and shaft axis and then to draw the mohr's circle to confirm this results

## The Attempt at a Solution

I calcualted the:
shear stress: 95.5 *10^6
direct stress: -16.55*10^6
Principal Stresses: σ1=87.21*10^6, σ2= -103,765

Any help will appreciated.

solved!

## 1. What is the concept of angle of the shaft in relation to Mohr's Circle?

The angle of the shaft refers to the angle at which a shaft or rod is oriented in relation to the principal stress directions in Mohr's Circle. It is used to determine the shear stress and normal stress acting on the shaft at a specific point.

## 2. How is the angle of the shaft calculated in Mohr's Circle?

The angle of the shaft can be calculated by finding the tangent of the angle between the line connecting the center of Mohr's Circle to the point representing the state of stress and the horizontal axis.

## 3. What is the significance of the angle of the shaft in Mohr's Circle?

The angle of the shaft is important in determining the maximum shear stress and maximum normal stress acting on a shaft or rod. It also helps in understanding the stress distribution and potential failure modes.

## 4. Can the angle of the shaft be negative in Mohr's Circle?

Yes, the angle of the shaft can be negative in Mohr's Circle. This indicates that the principal stress directions are oriented in a counterclockwise direction from the horizontal axis.

## 5. How does the angle of the shaft affect the safety factor in Mohr's Circle?

The angle of the shaft can affect the safety factor by changing the magnitude and direction of the maximum shear stress acting on the shaft. A decrease in the angle of the shaft can increase the safety factor, while an increase can decrease the safety factor.

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