Thursday, September 25, 2008

Re: Shear center of L-shape 'concrete' beam

On Sep 25, 2008, at 7:23 AM, Wontae Kim wrote:

> I have more questions to your answers posted.
> Do you think that shear center is on 'the centerline of a vertical
> leg'?
If you're talking about an angle, the shear center is at the
intersection of both legs--the heel of the angle. If you're talking
about a section with a single axis of symmetry, the shear center is
on that axis, but it's actual location depends on the details of the
section. A standard channel for example has the shear center at half-
depth and on the opposite side of the web from the flanges. If you
have a doubly symmetric section the shear center coincides with the
section centroid. The shear center of any wide flange or standard I-
section is at the half-depth and half-width. (I think I'm repeating
myself)

The short answer to your question is 'not necessarily.' The real
answer is, 'If what you call the 'vertical leg' is an axis of
symmetry, the shear center is on the vertical leg. If the vertical
leg isn't an axis of symmetry, the shear center is elsewhere.

> So, is shear center the intersection of vertical and horizontal
> centerline rather than center of mass?
Only for a doubly symmetric section. Try to use the right
terminology. 'Center of mass' is used when you're talking about
weights and balances; The term 'centroid' is used when you're
referring to cross-section geometry. You don't want to get these
terms confused. You might also want to go back and read up on the
definition of shear center in your structural design book.

Christopher Wright P.E. |"They couldn't hit an elephant at
chrisw@skypoint.com | this distance" (last words of Gen.
.......................................| John Sedgwick, Spotsylvania
1864)
http://www.skypoint.com/members/chrisw/

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