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Warping Constant

Warping Constant

Warping Constant

(OP)
Can anyone explain what the warping constant Cw is and how it is calculated?

RE: Warping Constant

This is discussed in Roark's Formulas for Stress and Strain- Section 9.3 in the 5th Edition.  It also includes formulas for the Cw and for K (which appears to be J in the AISC books).  It may take some juggling around with the fillet radius to make the J work out right.

RE: Warping Constant

By the way, "For doubly symmetric I-shapes with rectangular flanges, Cw = Iy*ho^2/4", where ho = distance between the flange centroids.  This from section F2 of the new AISC code.

RE: Warping Constant

Simply put the warping constant for torsion is analogous to the moment of inertia for bending.  It describes how well the flanges will resist warping.

RE: Warping Constant

just refer to "Cold-formed Steel Design Manual", you'll find the formula to calculate these constants for many kinds of shapes.
Cordially yours

RE: Warping Constant

(OP)
I thought the torsional resistance factor K or R was the counterpart to I, not Cw.

RE: Warping Constant

You are correct K or R (I think it's called J too?) describes how well the entire section will resist torsion.

In addition to torsion for wide flange (or other open-sections) significant warping stresses can develop in the extremities (ie the flanges) Cw is a factor that describes how well the flanges resist warping.

While the entire section does technically warp, for I sections the amount the web warps in insignificant compared to the flanges.

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