Applying a pure axial load of magnitude σ on both sides of a ductile rod results in a maximum in-plane shear stress of σ/2. This phenomenon occurs due to the orientation of the stress vector on a plane angled at 45 degrees to the rod axis, which reveals both normal and shear stress components. Understanding this requires knowledge of Mohr's Circle, which illustrates how the state of stress at a point varies with the orientation of the plane examined.
PREREQUISITESMechanical engineers, materials scientists, and students studying mechanics of materials who seek to understand the relationship between axial loading and shear stress in ductile materials.
For a plane oriented at an angle of 45 degrees to the rod axis, the stress vector acting on the plane has components in both the normal direction and the tangential (shear) direction (of the plane).zachdr1 said:I just found that applying an axial load of magnitude σ on both sides of a ductile rod will produce a max in plane shear stress of magnitude σ/2. Why is this? How can there be shear stress if only a normal force is applied?