3 provides the moment of inertia and section modulus formula for common geometrical shapes. Now using the perpendicular axis theorem, the inertia of circle along the Z-axis (that is. In SI unit systems the unit of Section Modulus is m 3 and in the US unit system inches 3. The moment of inertia of circle is also referred the second-moment area of a circle. Section modulus is denoted by “Z” and mathematically expressed as Z=I/y We know that moment of inertia of the circular section about an axis. The section modulus of a section is defined as the ratio of the moment of inertia (I) to the distance (y) of extreme fiber from the neutral axis in that section. Note: The Rouths Rule is used for finding the moment of inertia of a plane area or. The larger the moment of inertia, the greater is the moment of resistance against bending.

Bending stresses are inversely proportional to the Moment of Inertia. A moment of inertia is required to calculate the Section Modulus of any cross-section which is further required for calculating the bending stress of a beam.The Critical Axial load, Pcr is given as P cr= π 2EI/L 2. The moment of inertia “I” is a very important term in the calculation of Critical load in Euler’s buckling equation.A polar moment of inertia is required in the calculation of shear stresses subject to twisting or torque.stress-formula-for-circular-cross-section Area Moment of Inertia - Typical Cross. Area moment of inertia is the property of a geometrical shape that helps in the calculation of stresses, bending, and deflection in beams. 1 Calculate I for a rectangular and a circular beam Solution moment of.Mass moment of inertia provides a measure of an object’s resistance to change in the rotation direction.

Derive area moment of inertia circle