T SECTION MOMENT OF INERTIA CALCULATOR

Moment of inertia of T section calculator for second moment of area, section modulus, radius of gyration, cross section area and centroid calculation of T section beam.

T section is a structural beam with a t shaped cross section and their materials are generally mild steel, aluminum and stainless steel. Manufacturing methods are hot rolling, extrusion and plate welding.

Moment of Inertia of T Section:

Unit System (Quick selection)	Metric Inch
INPUT PARAMETERS
Parameter	Value
Web height [H]		mm cm m inch ft
Flange width [B]
Flange thickness [h]
Web thickness [b]
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]	---
Minimum 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:

Second Moment of Area: The capacity of a cross-section to resist bending.

Radius of Gyration (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.

T Section Formula:

T SECTION BEAM
Parameter	Symbol	Equation
Cross section area	A	A = Bh + Hb
Area moment of inertia	Ixx	Ixx = bH(ycog-H/2)2 + bH3/12 + hB(H + h/2 - ycog)2 + h3B/12
Area moment of inertia	Iyy	Iyy = b3H/12 + B3h/12
Minimum section modulus	Sxx	Sxx = Ixx/yc
Section modulus	Syy	Syy = Iyy/xc
Centroid	xc	xc = B/2
Centroid	yc	yc= [(H+h/2)hB+H2b/2]/A
Mass	M	M = ALρ
Radius of gyration	r	r = (I/A)^0.5

Supplements:

• Standard Beam Channel Sizes Dimensions
• Section Properties Calculators

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.