Need a book? Engineering books recommendations...

Return to index: [Subject] [Thread] [Date] [Author]

Re: Displaced Center of Mass Question

[Subject Prev][Subject Next][Thread Prev][Thread Next]
Greg, I think my questions is much simpler than the answer. I believe that 
there is validity in your response when dealing with a heavier mass such as 
masonry or concrete walls. My question was to consider the results on 
lightweight structures by considering the displaced center of mass as it 
might occur on either sides of the Center of Ridgity rather than the approach 
taken by Amrhein in the Reinforce Masonry Handbook that simply adds 5% of the 
diaphragm dimension perpendicular to the direction of force in both the X and 
Y axis. Although he does suggest that the displaced eccentricity is both 
added and/or subracted from the eccentricity resulting between the CR and CM 
his examples in the book use a simplified approach by only adding the 
additional 5% eccentricity.
I can easily see how by considering the eliptical effect of the displaced CM 
that the loads to the walls farthest from the is point will increase. 
However, is if enough to make a significant difference or are we trying to be 
too specific in the design?


In a message dated 7/29/99 7:46:30 PM Pacific Daylight Time, strusup(--nospam--at) 

<<      The book by Breyer - Design of wood structures addresses "seismic
 irregularity on pgs.785-794.  Re-thinking my statement on the eccentricity
 defining an axis when the eccentricity is a scalar measure of how much the
 structure will rotate (I can visualize what I am saying but sometimes I get
 ahead of myself and put my foot in it wordwise), anyway, to explain what I
 am saying in a direction away from what is leading to the center of
 rotation, a very applicable analytical method would be the ellipse of
 inertia which leads to the ellipse of elasticity with elastic centers and
 instantaneous center.  This method orthogonalizes the oblique axis that I
 mentioned which, unproven by me, relates the COM, CORig and CORotation
 (instantaneous center).  The method is as powerful as any FE method and is
 well suited for arches.
 Greg >>