Strains on an inclined plane

Question 1

How do normal and shear components change?

Answer 1

Change due to orientation

Question 2

What should you consider when looking at strains on inclined plane?

Answer 2

Need to consider the geometry and how it relates to deformations and rotations of the sides of the element parallel to each set of axes

Question 3

What is shear strain?

Answer 3

Shear strain is the change in the internal angle of the bottom left corner of the element. This is defined by the angles α and β

Question 4

How do you find the angle alpha?

Answer 4

The angle α is the sum of α1, α2, and α3, but taking the direction of rotation into account

Question 5

How can the angle beta be found?

Answer 5

The angle β can be obtained by a similar analysis as above, or by simply substituting (θ + 90°)

Question 6

How is shear strain on an inclined plane found?

Answer 6

α - β

Question 7

Where does max and min shear strain occur?

Answer 7

Occurs on a plane 45° to the principal planes