Polar Section Modulus Formula

Z elastic section modulus in 3 or mm 3.

Polar section modulus formula. Polar modulus is basically defined as the ratio of the polar moment of inertia j to the radius of the shaft. K radius of gyration in or mm. The polar moment of inertia may be found by taking the sum of the moments of inertia about two perpendicular axes lying in the plane of the cross section and passing through this point.

We can write here the expression for polar modulus as displayed here. The plastic section modulus is the sum of the areas of the cross section on each side of the pna which may or may not be equal multiplied by the distance from the local centroids of the two areas to the pna. Polar mass moment of inertia about axis a a axis b b and axis c c.

J torsional constant in 4 or mm 4. Online square tee beam property calculator. It is denoted by z polar.

Polar modulus will be displayed by zp. Ratio of the polar moment of inertia to the radius of the shaft. It is also called as torsional section modulus.

P perimeter of shape in or mm. The polar section modulus also called section modulus of torsion z p for circular sections may be found by dividing the polar moment of inertia j by the distance c from the center of gravity to the most remote fiber. For other than circular cross sections however the polar section modulus does not equal the polar moment of inertia divided by the distance c.

Value of the polar section modulus of sections that are nearly round. Polar modulus z p j r.