What is the specific equation for maximum shear stress of a circular cross-section?

The equation for maximum shear stress in a circular cross-section is derived from the relationship between the applied shear force (V) and the cross-sectional area (A). For a circular cross-section, the maximum shear stress occurs at the center of the section. The specific formula to find the average shear stress, often denoted as T, is given by T = V / A. However, to account for the maximum shear stress in a circular cross-section, it is essential to consider the geometric factors involved.

The maximum shear stress in a circular cross-section can be expressed as T = (4/3)(V / A). This factor of 4/3 arises from the integration of shear stress distribution across the area, reflecting how shear forces are distributed within the material. In practical terms, this means that the maximum shear stress for a circular cross-section is greater than the average shear stress due to the non-uniform distribution of stresses.

Thus, the correct option highlights the specific multiplier that takes into account the shape of the cross-section, making this an essential equation in structural engineering when analyzing shear in materials with circular geometries.