Section Modulus calculation and optimization

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Other geometric properties used in design include area for tension and shear, radius of gyration for compression, and moment of inertia and polar moment of inertia for stiffness. Any relationship between these properties is highly dependent on the shape in question. Equations for the section moduli of common shapes are given below. There are two types of section moduli, the elastic section modulus and the plastic section modulus. The section moduli of different profiles can also be found as numerical values for common profiles in tables listing properties of such.

S = I/Y

I = Moment of inertia

Y = Width of the Section / 2

I = 93.5993 mm^4

Y = 38.379 mm

S = I/Y = 2.4388 mm^4