Centroidal Area Moment of a Circle
Find the area moment about a centroidal diameter of a solid circular section.
Try this formula
Calculate second moment of area about a centroidal diameter or choose another supported quantity.
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Try this formula
Calculate second moment of area about a centroidal diameter or choose another supported quantity.
Use decimals or scientific notation, such as 1.2e3. Calculations update as you type.
Second moment of area about a centroidal diameter
Enter the known values to see the result.
Use a solid circular section and a centroidal diametral axis. For a hollow circle, subtract the inner-circle area moment. This diametral area moment is half the polar area moment of the same solid circle.
Difficulty
Beginner
Read time
4 min
Prerequisites
Basic algebra, mechanics, and consistent SI units
Source
Donney Fan — MECH 360 — Mechanics of MaterialsReference equation: Bending — Second Moment of Inertia. FormuLab wrote new explanations, assumptions, applications, and numerical examples.
Definition
A circle has the same bending area moment about every centroidal diameter. The fourth-power dependence makes radius especially important when comparing circular beam sections.
Variables & Units
| Symbol | Meaning | Units |
|---|---|---|
| Second moment of area about a centroidal diameter | ||
| Circle radius |
Real-World Applications
Circular beams
Find the bending section property of a solid circular member.
Section checks
Keep diametral and polar area moments distinct.
Worked Example
Problem
A solid circular section has radius 0.02 m. Find its centroidal diametral area moment.
Given
Solution
Final Answer
Contents
Info
Tools
Source & review
Reference equation: Bending — Second Moment of Inertia. FormuLab wrote new explanations, assumptions, applications, and numerical examples.
Assumptions
- • Use a solid circular section and a centroidal diametral axis.
- • For a hollow circle, subtract the inner-circle area moment.
- • This diametral area moment is half the polar area moment of the same solid circle.
Languages
FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.