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Maximum Moment of a Non-Compact Or Slender Webbed I Beam Or Channel:
 
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 F4 And F5:
This calculation applies to: (a) doubly symmetric I-shaped members bent about their major axis with noncompact webs; and (b) singly symmetric I-shaped members with webs attached to the mid-width of the flanges, bent about their major axis, with compact or noncompact webs; and (c) doubly symmetric and singly symmetric I-shaped members with slender webs attached to the mid-width of the flanges, bent about their major axis.
Unbraced length (Lb - ft or m)
Limiting laterally unbraced length for the limit state of yielding (Lp - ft or m)
Steel yield strength (fy - ksi or MPa)
Limiting laterally unbraced length for the limit state of inelastic lateral-torsional buckling (Lr - ft or m)
Depth of the beam (d - in or mm)
Depth of the area in compression (y - in or mm)
Thickness of the compression flange (tfc - in or mm)
Width of the compression flange (bfc - in or mm)
Effective radius of gyration (rt - in or mm)*
Lateral-torsional buckling modification factor (Cb)**
Moment of inertia, x-axis (Ix - in^3 or mm^3)
Height of web (h - in or mm)
Thickness of web (tw - in or mm)
Width to thickness ratio of the flange (WTF = bf/2tf)
Limiting slenderness of compact flange (WTFp)
Limiting slenderness of noncompact flange (WTFr)
*Effective radius of gyration, rts, can be conservatively approximated for I shapes with a rectangular compression flange as the radius of gyration of a section of the compression flange plus 1/3 of the compression web area.  
**Cb can be conservatively taken as 1.00.    

     
   
   
Output:
 
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Maximum moment of the beam, Mu =
   
   
   
 
 
 
 



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