Section Modulus calculation and optimization

Section Modulus is a geometric property of a structural cross-section that is used to determine the strength and resistance of the material against bending or torsional forces. It is the ratio of the moment of inertia of the cross-section to the maximum distance from the centroid to the top or bottom edge of the section.

The section modulus is calculated using the following formula:

S= I/y

where S is the section modulus, I is the moment of inertia of the cross-section, and y is the distance from the centroid to the top or bottom edge of the section.