The state of pure shear stress is produced by

Explanation:

Pure Shear Stress

• A pure shear stress state occurs when material elements are subjected to equal and opposite forces that cause one set of planes to elongate while the perpendicular set contracts, without causing any change in volume. This happens when there is tension in one direction and an equal amount of compression in the perpendicular direction.

• In pure shear, there are no normal stresses along the principal axes — only shear stresses act. This state is often analyzed using Mohr’s Circle, which visually represents the relationship between normal and shear stresses.

• Pure shear stress leads to angular distortion of the material, meaning the shape changes (angles between planes are altered), but the volume of the material remains constant.

• Pure shear conditions are important in structural engineering and material science when analyzing situations such as torsion of circular shafts, punching shear in slabs, or material testing under shear load.

 Additional Information

• The concept of principal stresses is closely related to pure shear. In pure shear, the principal stresses are equal in magnitude but opposite in sign — one is tensile, one is compressive. There is no third stress component acting in the third direction (it is zero).

• Shear strain is the angular deformation resulting from pure shear. Under pure shear, the shape of the material element is distorted (angles change), but its volume remains unchanged.

• Mohr’s Circle is a graphical tool that is often used to represent the state of stress (including pure shear). In pure shear, the Mohr’s Circle is centered at zero normal stress, and its radius equals the shear stress. It helps visualize how shear and normal stresses transform on different planes.