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- Subject: Partially Tapered Column Analysis
- From: "Brian S Bossley" <BSBossley(--nospam--at)venturaengineering.com>
- Date: Tue, 10 Jan 2006 08:15:44 -0500
I am looking at an analyzing an existing building that consists of pre-manufactured rigid frames with a ‘partially tapered’ column on the one side. What I mean by “partially tapered” is that the column is tapered from 0’ to 30’ up and then above that it takes on a uniform depth from 30’ to 45’. I’ve seen these all over before, but I’ve never analyzed one until now.
So I started with 3rd edition LRFD. I’m mainly using Appendix F and G to check the girder.
But here’s my question: If I look at this column in a piecewise fashion, what do I use for K of the two segments. It seems like the K for the bottom section would have to be larger than 2.0 because the WHOLE column should have a K of 2.0.
Alternately, If I look at this as one big tapered member 45’ tall with a K=2.0, is it really fair to use the KL/r at the base of the taper? I don’t think so. Is the 5/3 factor in EQN A-F3-3 an adjustment for the fact that we use the KL/r of the smaller end?
Brian S Bossley, PE
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