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Applicable of Radius of Gyration

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FiniteElemet

Civil/Environmental
May 16, 2004
41
Hi,

For a single angle in tension with bolted connection in horiZontal leg, you have yielding tensile strength controlling. How would you explain to select rz over other radii of gyration while calculating slenderness ratio.

Is there a way to remember which radius of gyration to select among all provided values?

Thanks
 
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you select the minimum radius of gyration, which results in a larger slenderness ratio, hence controlling the design.
 
I'm not sure why you'd need the slenderness ratio if it's in tension.

But, if you're designing to any kind of a code (AISC, for example), you use the value specified in that code, and that value can vary.
 
The slenderness ratio is calculated to keep the slenderness less than 300 (for a tension member). If you are using the angle as a x-brace and are connecting the angles together in the middle (where they cross) be careful of which radius of gyration to use.
 
I keep the kl/r ratio to 300 as well. Even though these angles are designed as tension only members, they do have the capacity and will try to take compression forces. When they get erected, even though the magnitude of force they have is very low it looks funny with a S-bends in the angle bracing.
 
I'm not as harsh on the slenderness ratio, I would only apply it to ties that are subject to reversal, and then I would be happy around the 350 mark.

"Programming today is a race between software engineers striving to build bigger and better idiot-proof programs, and the Universe trying to produce bigger and better idiots. So far, the Universe is winning."
 
You select the minimum radius of gyration (which is rz for a single angle), because when the section is not braced torsionally, the principal axes section properties are applicable. For WF shapes it just so happens that the principal axes are the geometric axes, but that's not the case for single angles.
 
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