The idea and procedures are exactly the same as for mohrs circle for plane stress. Remember, mohrs circle is just another way to visualize the strain state. Since the transformation equations for plane strain are similar to those for plane stress, we can employ a similar form of pictorial representation. The two principal strains are shown in red, and the maximum shear strain is shown in orange. Mohrs circle for plane stress and plane strain study notes for me. Mohrs circle for plane stress and plane strain study. Mohr s circle is the locus of points representing the magnitude of normal and shear stress at the various plane in a given stress element. Mohrs circle strains at a point in the body can be illustrated by mohrs circle. The circle is centered at the average strain value e avg, and has a radius r equal to the maximum shear strain, as shown in the figure below, related topics the procedure of drawing mohr s circle from a given strain state is discussed in the mohr s circle usage and examples pages. These stresses act on principal planes where the shear stresses are zero. Mohrs circle equation the circle with that equation is called a mohrs circle, named after the german civil engineer otto mohr.
Principal stresses and principal strains occur in the same directions. This graphical representation is extremely useful because it enables you to visualize the relationships between the normal and shear stresses acting on various inclined planes at a point in a stressed body. The maximum shear strains are associated with axes at 45 to the directions of the principal strains. The new strain state is the intersection of the new line green in the diagram and the circle. He also developed the graphical technique for drawing the circle in 1882. Draw the mohrs circle, determine the principal stresses and the maximum shear stresses, and draw the corresponding stress elements. As we learned in the previous two lectures, when a structural element is subjected to several types of loads acting simultaneously, say bending and torsion, principal stresses occur.