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The plastic section modulus depends on the location of the plastic neutral axis (PNA). The majority of designs do not intentionally encounter this behavior. The Plastic section modulus is used for materials where (irreversible) plastic behavior is dominant. Section Modulus Channel Shape Center Neutral Axis Calculator Section Modulus Diamond Shape Center Neutral Axis Calculator Section Modulus Hollow Rectangle Square Center Neutral Axis Calculator Section Modulus Hollow Round Center Neutral Axis Calculator Section Modulus Circle Round Center Neutral Axis Calculator Section Modulus I Beam Center Neutral Axis Calculator Section Modulus I Beam Universal Calculator

It is also often used to determine the yield moment (M y) such that M y = S × σ y, where σ y is the yield strength of the material.Įxtended List of: Section Modulus, Area Moment of Inertia, Equations and Calculators Cross section Shape It is often reported using y = c, where c is the distance from the neutral axis to the most extreme fiber, as seen in the table below. The elastic section modulus is defined as S = 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 fiber. There are two types of section moduli, the elastic section modulus (S) and the plastic section modulus (Z).įor general design, the elastic section modulus is used, applying up to the yield point for most metals and other common materials. Equations for the section moduli of common shapes are given below. Any relationship between these properties is highly dependent on the shape in question. Other geometric properties used in design include area for tension, radius of gyration for compression, and moment of inertia for stiffness. Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Strength of Materials | Beam Deflection and Stress Related Resources: material science Section Modulus Equations and Calculators Common Shapes