Elastic Section Modulus Formula |
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\( S \;=\; \dfrac{ I }{ c }\) (Elastic Section Modulus) \( I \;=\; S \cdot c\) \( c \;=\; \dfrac{ I }{ S }\) |
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| Symbol | English | Metric |
| \( S \) = Elastic Section Modulus | \(in^3\) | \(mm^3\) |
| \( I \) = Second Moment of Inertia of the Cross-section about the Neutral Axis | \(in^4\) | \(mm^4\) |
| \( c \) = Distance from the Neutral Axis to the Outmost Fiber of the Section | \(in\) | \(mm\) |
Elastic section modulus, abbreviated as S, is a geometric property of a cross-sectional shape used in structural engineering to quantify a beam's resistance to bending stress within its elastic range. It represents the ratio of the second moment of area about the axis of bending to the distance from that axis to the outermost fiber of the section.
In other words, it's a measure of the beam's strength and stiffness against bending forces. A larger elastic section modulus indicates a stronger beam that can resist a
greater bending moment for a given amount of stress. The value is calculated by dividing the moment of inertia of the cross-section by the distance from the neutral axis to the outermost fiber of the beam. The neutral axis is the imaginary line within the beam where there is no tension or compression during bending, and the outermost fiber is the point farthest from this axis where the stress is at its maximum.
It is commonly used in the design of beams and other structural elements to ensure they can withstand applied loads while remaining in the elastic deformation range, preventing permanent deformation.
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