Mohr's Circle for Plane Stress

Mohr's Circle for Plane Stress

Mohr's circle is a graphical representation of the state of stress at a point. For plane stress, it provides a graphical method to determine the normal and shear stresses on any plane passing through the point of interest. The center of the circle represents the normal stress, and the radius is the maximum absolute shear stress. The angle determines the orientation of the plane on which stresses are resolved.

Parameter usage:

• normalStress: the normal stress acting on the plane
• shearStress: the shear stress acting on the plane
• angle: the angle in degrees to specify the inclination of the plane for which stresses are calculated

Output:

• center: the normal stress at the point
• radius: the maximum absolute shear stress at the point
• angle: the angle used for the calculations
• maxNormalStress: maximum normal stress on any plane through the point
• minNormalStress: minimum normal stress on any plane through the point
• maxShearStress: maximum shear stress on any plane through the point
• minShearStress: minimum shear stress on any plane through the point

Data validation

The normal stress must be greater than or equal to zero. The shear stress must fall within the range of -normal stress to +normal stress.

Summary

This formula calculates the parameters of Mohr's Circle for plane stress given the normal stress, shear stress, and the orientation angle. It can provide valuable insights into the state of stress at a point in a material, aiding in material failure analysis and design optimization.