Cross Section Geometrical Properties Calculators

Second Moment of Area of a Ring

In this calculation, a ring of inner diameter d and outer diameter D is considered. As a result of calculations, the area moment of inertia I_x about centroidal axis, polar moment of inertia I_p, and cross-sectional area A are determined.

Also, from the known bending moment M in the section, it is possible to calculate the maximum bending stress σ of the respective beam.

Moment of inertia of ring

Moment of inertia of a ring

INITIAL DATA

D - Ring outer diameter;

d - Ring inner diameter;

M - Bending moment in cross section.

RESULTS DATA

I_x - Area moment of inertia about centroidal axis;

I_p - Polar moment of inertia;

A - Cross section area;

σ - Bending stress in cross section.

Metric Imperial

Diameter (D)

Diameter (d)

Moment of inertia (Ix)

Polar moment of inertia (Ip)

Section area (A)

Bending moment (M)

Bending stress (σ)

BASIC FORMULAS

I_x = [π*D⁴ / 64] - [π*d⁴ / 64];

I_p = [π*D⁴ / 32] - [π*d⁴ / 32];

A = (π*D² - π*d²) / 4;

σ = M*D / 2I_x.

INITIAL DATA

D - Ring outer diameter;

d - Ring inner diameter;

M - Bending moment in cross section.

RESULTS DATA

I_x - Area moment of inertia about centroidal axis;

I_p - Polar moment of inertia;

A - Cross section area;

σ - Bending stress in cross section.

OTHER CALCULATORS

AREA MOMENTS OF INERTIA

BEAM CALCULATORS

TORSION OF BARS

CIRCULAR FLAT PLATES

BUCKLING

ELASTIC CONTACT

IMPACT LOADS

NATURAL FREQUENCIES

PRESSURED SHELLS

FLUID DYNAMIC

COMPOSITES

SPRINGS

THREAD CONNECTIONS

SHAFT CONNECTIONS

BEARINGS

DRIVES

FATIGUE

HEAT TRANSFER