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Calculate polar moment of inertia

Section 1

polar mement of inertia

Polar moment of inertia

It is called the moment of inertia of a system of material points in relation to a plane, an axis or a pole, the sum of the products between the masses of the particles that make up the system and the square of the distances of these particles to the plane, axis or pole considered:

moment of inertia

Compared to a Cartesian reference system we have:

  • polar moments of inertia:
polar moment of inertia

The polar moment of inertia can be calculated as:

  • the semisum of the axial moments of inertia in relation to three rectangular axes passing through that point:
polar moment of inertia
  • the sum of planar moments of inertia:
polar moment of inertia
  • the sum of the moments of inertia in relation to a plane and a normal axis to that plane:
polar moment of inertia

Id = Polar moment of inertia (cm4)

Wd = Torsional strength module (cm3)

polar moment of inertia
CALCULATE POLAR MOMENT OF INERTIA

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d =
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