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Maximum Moment of a Non-Compact Or Slender Flanged 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 F3:
This calculation applies to doubly symmetric I-shaped members bent about their major axis having compact webs and noncompact or slender flanges.
 
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)
Section modulus of the beam (Sx - in^3 or mm^3)
Effective radius of gyration, (rts - in or mm)*
Lateral-torsional buckling modification factor (Cb)**
Plastic section modulus (Zx - 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)
*rts = (((IyCw)^0.5)/Sx)^0.5, can also be conservatively approximated as the radius of gyration of a section of the compression flange plus 1/6 of the 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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