# Angle between principal stress and shear stress

In summary, the principal stress is the maximum and minimum stress values in a particular direction within a material, while shear stress is the stress that occurs when two forces act parallel to each other but in opposite directions. The angle between these two stresses can be calculated using the Mohr's Circle method and is significant because it determines the direction of the maximum shear stress and the location of the principal planes. This angle can also affect the strength of a material, as it can lead to failure in certain orientations. Additionally, under different loading conditions, the angle between principal stress and shear stress can change due to alterations in the stress distribution within a material caused by applied forces.

## Homework Statement

I know that an element that is subjected to max shear stress is 45 degree away from position of an element that is subjected to principal stress.I couldn't understand why the θ s= θ p -45 degree?
Cant it be θ s= θ p +45 degree ?

## The Attempt at a Solution

IMO, it can be both θ s= θ p -45 degree and θ s= θ p +45 degree [/B]

#### Attachments

• 338.jpg
21.3 KB · Views: 451
• 339.jpg
24 KB · Views: 430
or i miss out something ?

anybody here ?

## 1. What is the difference between principal stress and shear stress?

The principal stress is the maximum and minimum stress values in a particular direction within a material. Shear stress, on the other hand, is the stress that occurs when two forces act parallel to each other but in opposite directions.

## 2. How is the angle between principal stress and shear stress calculated?

The angle between principal stress and shear stress can be calculated using the Mohr's Circle method, where the angle is represented by the center of the circle and the principal stress values are represented by the points on the circle.

## 3. What is the significance of the angle between principal stress and shear stress?

The angle between principal stress and shear stress is important because it determines the direction of the maximum shear stress and the location of the principal planes, which are the planes that experience the maximum and minimum normal stresses.

## 4. How does the angle between principal stress and shear stress affect the strength of a material?

The angle between principal stress and shear stress can affect the strength of a material by determining the direction of the maximum shear stress and the location of the principal planes, which can lead to failure in certain orientations.

## 5. Can the angle between principal stress and shear stress change under different loading conditions?

Yes, the angle between principal stress and shear stress can change under different loading conditions, as the magnitude and direction of the applied forces can alter the stress distribution within a material and therefore change the angle between the two stresses.

• Engineering and Comp Sci Homework Help
Replies
7
Views
433
• Engineering and Comp Sci Homework Help
Replies
1
Views
1K
• Engineering and Comp Sci Homework Help
Replies
4
Views
2K
• Engineering and Comp Sci Homework Help
Replies
1
Views
1K
• Engineering and Comp Sci Homework Help
Replies
6
Views
2K
• Engineering and Comp Sci Homework Help
Replies
8
Views
3K
• Engineering and Comp Sci Homework Help
Replies
1
Views
1K
• Engineering and Comp Sci Homework Help
Replies
2
Views
1K
• Engineering and Comp Sci Homework Help
Replies
1
Views
862
• Engineering and Comp Sci Homework Help
Replies
36
Views
4K