# SECTION PROPERTIES CALCULATOR - T BEAM (TEE SECTION)

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.

T-Beam (Tee Section) section properties calculator has been developed to calculate the second moment of area, section modulus, radius of gyration and cross section area of structural T sections (beams).

### T-Beam (Tee Section) Section Properties Calculator: Unit System (Quick selection) MetricInch 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

 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] --- CoG distance in x direction [xcog] --- mm cm m inch ft CoG distance in y direction [ycog] ---

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.

### List of Equations:

 T SECTION (T-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/ycog Section modulus Syy Syy = Iyy/xcog Center of gravity xcog xcog = B/2 Center of gravity ycog ycog= [(H+h/2)hB+H2b/2]/A 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., 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.