Square Channel

Written by Jerry Ratzlaff on . Posted in Structural

Square Channel - Geometric PropertiesC square 1

area formula

\(\large{ A =  wl - h  \left( w - t  \right) }\)

Perimeter formula

\(\large{ P =  2  \left( 2w + l  \right)  - 2t  }\)

Distance from Centroid Axis formula

\(\large{ C_x =  \frac { 2w^2 s + ht^2  }  { 2 wl - 2h  \left( w - t  \right)  }  }\)

\(\large{ C_y =  \frac { l  }  { 2}  }\)

Elastic Section Modulus formula

\(\large{ S_{x} =  \frac { I_{x} }  { C_{y}   } }\)

\(\large{ S_{y} =  \frac { I_{y} }  { C_{x}   } }\)

Moment of Inertia about Axis formula

\(\large{ I_{x} =  \frac { wl^2 - h^3  \left( w - t  \right) }  { 12 }  }\)

\(\large{ I_{y} =  \frac { 2 sw^3 + ht^3 }  { 3 } - A C_{x}{^2} }\)  

\(\large{ I_{x1} =  I_{x}  +  A C_y }\)

\(\large{ I_{y1} =  I_{y}  +  A C_x }\)

Polar Moment of Inertia about Axis formula

\(\large{ J_{z} =  I_{x}  +  I_{y} }\)

\(\large{ J_{z1} =  I_{x1}  +  I_{y1} }\)

Radius of Gyration about Axis formula

\(\large{ k_{x} =  \sqrt {     \frac { wl^2 - h^3  \left( w - t  \right) }      { 12  \left[   wl^2 - h^3  \left( w - t  \right)    \right]  }          }   }\)

\(\large{ k_{y} =  \sqrt  {  \frac { I_{y} }  { A  }   }   }\)

\(\large{ k_{z} =  \sqrt  {  k_{x}{^2} + k_{y}{^2}    }  }\)

\(\large{ k_{x1} =  \sqrt  {  \frac { I_{x1} }  { A  }   }   }\)

\(\large{ k_{y1} =  \sqrt  {  \frac { I_{y1} }  { A  }   }   }\)

\(\large{ k_{z} =  \sqrt  {  k_{x1}{^2} + k_{y1}{^2}    }  }\)

Torsional Constant formula

\(\large{ J  =   \frac {  2  \left( w -  \frac {t}{2}  \right)   s^3  \left( l - s  \right)  t^3  }    {  3  }  }\)

 

Where:

\(A\) = area

\(C\) = distance from centroid

\(I\) = moment of inertia

\(J\) = torsional constant

\(k\) = radius of gyration

\(P\) = perimeter

\(S\) = elastic section modulus

 

Tags: Equations for Structural Steel