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Section modulus 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, radius of gyration for compression, and moment of inertia for stiffness. Any relationship between these properties is highly…
Adviteeya Gupta
updated on 13 Aug 2023
Section modulus
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, radius of gyration for compression, and 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 (S) and the plastic section modulus (Z).
The bending equation is M / I = σ /y = E / R.
The elastic section modulus is defined as Z = I / y, where I is the second moment of area (or moment of inertia) and y is the distance from the neutral axis to any given fibre.
Section 1
y1
Calculations for Z1
y1 = 876.5483/2
y1 = 438.27415mm
I1 = 8.975700806 * 107 mm4
Z1 = I / y
Z1 = 8.975700806 * 107 / 438.27415
Z1 = 0.0204 * 107
Section 2
y2
Calculations for Z2
y2 = 876.5483/2
y2 = 438.27415mm
I2 = 8.986590685 * 107 mm4
Z2 = I / y
Z2 = 8.975700806 * 107 / 438.27415
Z2 = 0.0205 * 107
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