# SECTIONAL 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.

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

##### Calculator:

 Unit System (Quick selection) MetricInch INPUT PARAMETERS Parameter Symbol Value Unit 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

 OUTPUT PARAMETERS Parameter Symbol Value Unit 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 ---

##### 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) 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

##### Reference:

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