KBS wrote:lllazar wrote:and one final note, i can certainly attest to the effectiveness of x bracing in the base and z bracing in the chimney.
Does anyone have an understanding/theories on why the chimney was OK with Z bracing? Towers usually fail as much in torsion as they do buckling. Z-bracing must be weaker in torsion than X-bracing...
Here is my take on this subject.
A bracing system has three uses here. It
(1) helps keeping the tower upright,
(2) controls the nodal displacements of the structure, hence improving the overall stability of the tower, and
(3) prevents main structural members from buckling.
Depending on the section and material properties, a structural member can undergo various types of buckling. In the case of towers, I think, you need to watch for:
1.
Overall (flexural) buckling. This is the type that generally happens when the member is tall and slim. The Euler’s buckling equation predicts the critical load for overall buckling.
2.
Local Buckling. This is similar to overall buckling but it happens only in a part of the member. (see video link below).
3.
Torsional Buckling. This type of buckling generally occurs in compression members that have an open section with large width-to-thickness ratio. Angles (L), Tee, I, and Channels(C) are considered open sections since they have unsupported edges. In contrast, closed sections, like a tubular one, generally are not susceptible to this kind of buckling.
4.
Flexural-Torsional Buckling: This is a combination of (1) and (3) above.
I’ve prepared three short video clips that show overall, local and torsional buckling in balsa wood members. You can view them at:
http://nexote.net/nexote/Snotes.
Assuming that the tower’s chimney consists of either three or four main (vertical) compression members each designed so as not to buckle, I think it is not likely that the entire chimney would undergo torsional buckling.
Although X bracing offers more stability than Z bracing, it is probably the case that the Z bracing used is strong enough to partially compensate for the added stiffness an X bracing system provides.
To see how Z and X bracings could affect the behavior of a structure, I’ve prepared three short video clips. The first clip shows the base of a tower without any Z or X bracings. The second clip shows the same base with a Z bracing. The third clip shows the base with an X bracing. They can be viewed at:
http://nexote.net/nexote/Snotes.