# SECTION PROPERTIES CALCULATOR - C CHANNELS (C BEAMS)

Structural C channels, also known as C beams are structural beams with C shaped cross section. Top and bottom plates of a C channel are named as flanges and the vertical plate which connects the flanges is named as web. The materials of C channels are generally steel, aluminum and stainless steel. Manufacturing methods of C channels are hot rolling and extrusion.

C channel section properties calculator has been developed to calculate the sectional properties of structural C channels (beams) with straight leg (untapered leg).

### C Channel Section Properties Calculator: INPUT PARAMETERS Parameter Value Flange-flange inner face height [H] mm cm m inch ft 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] --- Section modulus [Sxx] --- mm^3 cm^3 inch^3 ft^3 Minimum 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 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.

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

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.

### Channel Section Properties Formulas:

 C SECTION (C-BEAM) Parameter Symbol Equation Cross section area A A = 2Bh + Hb Area moment of inertia Ixx Ixx = H3b/12 + 2[h3B/12 + hB(h+H)2/4] Area moment of inertia Iyy Iyy = b3H/12 + bH(xcog-b/2)2+ 2B3h/12+ 2Bh(xcog - B/2)2 Section modulus Sxx Sxx = Ixx/ycog Minimum section modulus Syy Syy = Iyy/(B-xcog) Center of gravity xcog xcog = (2hB2/2 + b2H/2)/A Center of gravity ycog ycog= H/2 + h Mass M M = ALρ Radius of gyration r r = (I/A)^0.5

### Supplements:

 Link Usage Aluminum Channel Sizes Online tool to show basic dimensions and sectional properties of standard aluminum C channels. Steel Channel Sizes Online tool to show basic dimensions and sectional properties of standard steel C channels.

### 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.