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Torsional And Flexural-Torsional Buckling of Non-Slender Sections:
 
Calculation:
Designer/Checker:
   
Input:  
   
 
(Note: All input Metric units are converted to English units for the equations below and then the output English units are converted back to Metric)
 
From AISC E4:
This calculation applies to doubly symmetric and singly symmetric members with non-slender sections for uniformly compressed elements only.
Note: AISC E3 generally governs the design of most columns.  Torsional buckling of symmetric shapes and flexural-torsional buckling of unsymmetrical shapes are failure modes usually not considered in the design of hot-rolled columns. They generally do not govern, or the critical load differs very little from the weak-axis planar buckling load. Torsional and flexural-torsional buckling modes may, however, control the strength of symmetric columns manufactured from relatively thin plate elements and symmetric columns having torsional unbraced lengths significantly larger than the weak-axis flexural unbraced lengths.  If this is the case then this calculation is used for calculating the compressive strength of torsional and flexural-torsional buckling of non-slender sections for symmetric shapes only. 
Refer to AISC E4 for calculating the torsional or flexural-torsional buckling strength of unsymmetric shapes.
Shape:    
   
Laterally unbraced length (L - ft or m)
Effective length factor for flexural buckling about y-axis (Ky)
Steel yield strength (fy - ksi or MPa)
Radius of gyration about the y-axis (ry - in or mm)
Gross area of the column section (Ag - sq in or sq mm)
Torsional constant (J - in^4 or mm^4)
Polar radius of gyration about the shear center (ro - in or mm)
x-axis coordinate of shear center with respect to the centroid (xo - in or mm)
y-axis coordinate of shear center with respect to the centroid (yo - in or mm)
Effective length factor for torsional buckling (Kz)*
Warping constant (Cw - in^6 or mm^6)*
Moment of inertia, x-axis (Ix - in^4 or mm^4)**
Moment of inertia, y-axis (Iy - in^4 or mm^4)**
*Required for all members other than double angle or tee.
**Required for doubly symmetric members only.
     
   
   
Output:
 
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Maximum compressive strength, Pu =
   
   
 
 
 




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