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The Modification Factor, Cb

Module by: Michael Terk. E-mail the author

Summary: (Blank Abstract)

Introduction to Cb

C b C b is a modification factor used in the equation for nominal flexural strength when determining Lateral-Torsional Buckling. The reason for this factor is to allow for non-uniform moment diagrams when the ends of a beam segment are braced. The conservative value for C b C b can be taken as 1.0 as according to Chapter F2a of the Specification Section of the Manual (page 16.1-32) for all cases. Also, the Manual gives a table of values for C b C b for some loading conditions of simply supported beams. This is located in Section 5 of the Manual (page 5-35) and is named, Table 5-1.

Equation for Cb

If the value of C b C b is not given in Table 5-1, the equation in Chapter F2a of the Specification Section of the Manual (page 16.1-32), given here, can be used to find C b C b .

C b =12.5⁢ M max 2.5⁢ M max +3⁢ M A +4⁢ M B +3⁢ M C C b 12.5 M max 2.5 M max 3 M A 4 M B 3 M C
(1)

where:

  • M max M max = absolute value of maximum moment in the unbraced segment, kip-in.
  • M A M A = absolute value of maximum moment at quarter point of the unbraced segment, kip-in.
  • M B M B = absolute value of maximum moment at centerline of the unbraced segment, kip-in.
  • M C M C = absolute value of maximum moment at three-quarter point of the unbraced segment, kip-in.

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