Newtons Bit
Penultimate Amazing
- Joined
- Apr 12, 2007
- Messages
- 10,049
The information about steel columns for Euler buckling is a slender column can not exceed SR 150 the ratio of the radius of gyration - the x or y axis of the column plan to the length.
the numbers are the x and y axis dimension X 150 to find the upper limit (SR) for each axis of the column.
Radius of gyration is the square root of the moment of inertia over the area of the shape. It's not a plan dimension. Once the slenderness ratio exceeds that, it enters elastic (aka Euler) compressive behavior. I frequently use gravity columns with slenderness ratios that exceed this ratio.
There is no dispute that unbraced columns bear less axial load than braced. The assertion is that so much of the bracing was removed that the column lost capacity and buckled.
I don't see that failure mode .. or even as you assert 70 something feet were unbraced and the column buckled. Your numbers don't sell me. Try a different approach...
Probably because you don't understand the math or concepts involved...
Content in the link is not viewable for non ASCE members.
AISC, not ASCE. Please pay attention. And yes the content is available for everyone. I clicked on the "2010 Specification for Structural Steel Buildings (ANSI/AISC 360-10), Second Printing" link and lo, the PDF appeared.