Stress transformations for a state of plane stress

Mohr’s circle is a convenient means by which we can visualize the results of the stress transformation relationships for a state of plane stress. Recall that in order for us to draw Mohr’s circle, we need to determine only three things:

Usage of stress transformations in the design for stress requires us to readily move from a known state of stress to the location and size of Mohr’s circle (and then onto principal components of stress and maximum shear stress). How good are you with this?

Four examples
The following are animations of four planar stress states: Here we vary one of the three stress components while holding the other two  fixed as Mohr’s circle is drawn. Use these animations to sharpen your skills in relating a state of stress to Mohr’s circle.