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Strong Lips? Unistrut P1000 Section Increased Capacity & Effective Width (AISI S100)

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MechStruct1

Structural
Sep 8, 2010
15
Hi all!

I am trying to qualify some existing Unistrut P1000 trapeze members for seismic loads. Local buckling is not expected because of the pipes strapped to it every few inches. However, the ASD moment capacity given by Unistrut in their catalog is 5070 in*lbs (422.5 ft*lbs). They also state that the safety factors to yield and ultimate are 1.67 and 2.0, respectively, for flexure.

1) Is it correct to take their listed ASD capacity value and factor it by 2.0 (their listed safety factor to ultimate), then multiply by the LRFD phi factor of 0.9 for flexure to arrive at an LRFD design flexural strength? See image below:
Jake_Image_502_c9lovf.png


2) I was made aware that (if the above statement is correct) this would only be true for a compact section. I did a compactness check (AISC 14th Ed. Table B4.1b) with a simple channel shape (not including the turned in stiffening lips of the P1000) and found that the section is noncompact. See image below:
Jake_Image_504_xempbx.png


3) In order to try to show that the section is compact, I used AISI S100's Appendix 1, Sections 1.1.a and 1.2.2.a (using 1.2.2.a.1) to calculate an effective width of the P1000 section with the rounded over lip. However, I am coming up with a smaller effective width “b” that I started with without the lip! The part I am not super clear on is the calculation of the stresses (f, f.1, and f.2) in the compression element. See attached Mathcad file (Heading in [highlight #3465A4]BLUE[/highlight]) with helpful screenshots on the right pages.

Thank you for any insight you might be able to give!!!


Tags: AISI S100, Effective Width, Unistrut, P1000, Unstiffened Elements, Effective Width of Elements
 
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#1 is correct but you should use 1.67 as the SF and this gives the nominal moment, Mn. You use the term Mult which is a little misleading. Regarding #2, you should not use AISC. The strut should be designed per AISI. It has separate requirements. I would not mix and match the two design codes.

Also if you get ahold of the AISI design manual there are worked out examples which may help with lip.
 
AISI S100 (and welding is D1.3 - don't be a noob)
A5 for LRFD ( Mall * 1.67 * 0.9 ) is appropriate
E = 29,500 ksi typically for strut.
B1.1 regarding stiffened elements (all elements are stiffened for compression), effective width, b = width

Don't forget to reduce capacity based on braced length (there is a chart in the catalog somewhere). If necessary, higher order analysis can be done using C3.1.2.1 LTB Strength using (2) singly symmetric section equations (careful with xx and yy axes) and considering whether bending is towards or away from the shear center (knock yourself out).

If you want to look at plastic design try C3.1.1 (b) but you get penalized and are not allowed to use Fy = 42 ksi which is based on adjustments due to cold working. Virgin Fy = 33 ksi.
 
I realized I never responded here. Thank you for those who helped answer my questions above!
 
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