RECTANGULAR HOLLOW SECTION PROPERTIES CALCULATOR

Rectangular hollow section properties calculator for cross section area, weight, second moment of area, section modulus and radius of gyration calculation of  a hollow rectangular section.

INPUT PARAMETERS
Parameter	Value
Height [H]		mm cm m inch ft
Width [B]
Internal height [h]
Internal width [b]
Length [L]
Density [p]		g/cm^3 kg/m^3 lb/in^3

Please Wait... 

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)	---
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)	---
CoG distance in x direction (xcog)	---	mm cm m inch ft
CoG distance in y direction (ycog)	---

Note: Use dot "." as decimal separator.

Definitions:

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.

Supplements:

• Standard Beam Channel Sizes Dimensions
• Section Properties Calculators
• Hollow Structural Section (HSS) Design for Strength
• Square Hollow Section (HSS) Properties Calculator
• Rectangular steel tubing sizes and properties

Hollow Rectangle Formulas:

HOLLOW RECTANGLE
Parameter	Symbol	Equation
Cross section area	A	A = BH-bh
Area moment of inertia	Ixx	Ixx = BH3/12 - bh3/12
Area moment of inertia	Iyy	Iyy = HB3/12 - hb3/12
Section modulus	Sxx	Sxx = Ixx/ycog
Section modulus	Syy	Syy = Iyy/xcog
Centroid	xc	xc=B/2
Centroid	yc	yc=H/2
Mass	M	M = ALρ
Radius of gyration	r	r = (I/A)^0.5

Reference:

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