Which equation represents the section modulus for a hollow circular section?

The correct equation representing the section modulus for a hollow circular section is typically expressed as ( Z = \frac{I}{c} ), where ( I ) is the moment of inertia and ( c ) is the distance from the neutral axis to the farthest edge of the section. In the case of a hollow circular section, the distance to the outer edge (the farthest point) is indeed related to the radius of the outer section.

For a hollow circular section, the section modulus can indeed be simplified as ( Z = \frac{I}{a} ), where ( a ) is the outer radius. This reflects the relationship between the sectional properties and the distance to the extreme fiber, which is crucial for calculating bending stress and assessing the structural capacity. In hollow sections, recognizing that you measure from the neutral axis to the outer radius emphasizes the basic principles of structural mechanics and material science.

It is important to note that the moment of inertia for a hollow circular section is calculated differently compared to solid sections, and knowing the relationship to the radius or diameter directly impacts the design components.

This clarity on relationship reinforces comprehension of how the section modulus operates within the broader context of structural engineering, especially in terms of bending and design requirements under