CIRCULAR HOLLOW SECTION PROPERTIES CALCULATOR

Circular hollow section properties calculator for weight, area, section modulus and polar moment of inertia, J, calculation of circular hollow sections.

INPUT PARAMETERS
Parameter	Value
Outer diameter (d)		mm cm m inch ft
Inner diameter (d1)
Length (L)
Density (p)		g/cm^3 kg/m^3 lb/in^3

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RESULTS
Parameter	Value
Cross section area [A]	---	mm^2 cm^2 inch^2 ft^2
Mass [M]	---	kg lb
Second moment of area [Ixx]	---	mm^4 cm^4 inch^4 ft^4
Second moment of area [Iyy]	---
Polar second moment of area [J]	---
Section modulus [Sxx]	---	mm^3 cm^3 inch^3 ft^3
Section modulus [Syy]	---
Radius of gyration [rx]	---	mm cm m inch ft
Radius of gyration [ry]	---
Centroid distance in x direction [xc]	---	mm cm m inch ft
Centroid distance in y direction [yc]	---

Note: Use dot "." as decimal separator.

Definitions:

Polar Moment of Inertia: A geometric property of the cross section. Measure of ability how a beam resists torsion.

Radius of Gyration (Area): The capacity of a cross-section to resist bending.

Second Moment of Area: The distance from an axis at which the area of a body may be assumed to be concentrated and the second moment area of this configuration equal to the second moment area of the actual body about the same axis.

Section Modulus: The moment of inertia of the area of the cross section of a structural member divided by the distance from the center of gravity to the farthest point of the section; a measure of the flexural strength of the beam.

Circular Hollow Section Formulas:

HOLLOW CIRCLE (HOLLOW SHAFT)
Parameter	Symbol	Equation
Cross section area	A	A = πd2/4 - πd12/4
Area moment of inertia	Ixx	Ixx = πd4/64 - πd14/64
Area moment of inertia	Iyy	Iyy = πd4/64 - πd14/64
Section modulus	Sxx	Sxx = 2Ixx/d
Section modulus	Syy	Syy = 2Iyy/d
Centroid	xc	xc=d/2
Centroid	yc	yc=d/2
Mass	M	M = ALρ
Radius of gyration	r	r = (I/A)^0.5
Polar moment of inertia	J	J = Ixx + Iyy

Supplements:

• Standard Beam Channel Sizes Dimensions
• Section Properties Calculators
• Round Steel Tubing Sizes and Dimensions
• Pipes (Std, x-Strong, xx-Strong) - Dimensions and Properties

Reference:

• Oberg, E. , Jones ,F.D. , Horton H.L. , Ryffel H.H., (2016) . Machinery's Handbook . 30th edition.  Industrial Press Inc., pp 226-235 .
• Oberg, E. , Jones ,F.D. , Horton H.L. , Ryffel H.H., (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc., pp 234-256.