T beam, also known as Tee Section or T bar is a structural beam with a t shaped cross section. The materials of Tee sections are generally mild steel, aluminum and stainless steel. Manufacturing methods of T beams are hot rolling, extrusion and plate welding. T bars are often used for general fabrication.

The following calculator has been developed to calculate the sectional properties of structural T sections (beams).


Sectional properties of T-beam
Unit System (Quick selection)
Parameter Symbol Value Unit
Web height H
Flange width B
Flange thickness h
Web thickness b
Length L
Density p

Parameter Symbol Value Unit
Cross section area A ---
Mass M ---
Second moment of area Ixx ---
Second moment of area Iyy ---
Minimum section modulus Sxx ---
Section modulus Syy ---
Radius of gyration rx ---
Radius of gyration ry ---
CoG distance in x direction xcog ---
CoG distance in y direction ycog ---

Note: Use dot "." as decimal separator.



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.

List of Equations:

Sectional properties of T-beam
Step Parameter/Condition Symbol Equation
1 Cross section area A A = Bh + Hb
2 Area moment of inertia Ixx Ixx = bH(ycog-H/2)2 + bH3/12 + hB(H + h/2 - ycog)2 + h3B/12
3 Area moment of inertia Iyy Iyy = b3H/12 + B3h/12
4 Minimum section modulus Sxx Sxx = Ixx/ycog
5 Section modulus Syy Syy = Iyy/xcog
6 Center of gravity xcog xcog = B/2
7 Center of gravity ycog ycog= [(H+h/2)hB+H2b/2]/A
8 Mass M M = ALρ
9 Radius of gyration r r = (I/A)^0.5
10 Polar moment of inertia J J = Ixx + Iyy


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