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Rigidity center of inclined walls?

Rigidity center of inclined walls?

Rigidity center of inclined walls?

(OP)

I just can't find the equations for rigidity center of inclined walls? Can you help me?

Thank you in advance

RE: Rigidity center of inclined walls?

(OP)

Inclined in plan not in elevation!

RE: Rigidity center of inclined walls?

This might require a sketch

RE: Rigidity center of inclined walls?

(OP)

This is plan view of few walls.

PS: I'm searchig for general expressions for rigidity center. Think that I found them:
            Xr=Σi(Kyi*Xi)/ΣiKyi
            Yr=Σi(Kxi*Yi)/ΣiKxi
I just have to add inclination koeficient?

 

RE: Rigidity center of inclined walls?

Rigidities are vectorial quantities (thinking in finding a rigidity center). Hence you should be able to treat them as vectors, the components can be treated separately at their own eccentricity, i.e., substituting the resultant inclined rigidity by its x and y components at corresponding eccentricities at the center of the wall element.

RE: Rigidity center of inclined walls?

Don't know if I can...never tried it before.

I agree with ishvaaag that shearwall rigidities are vector quantities.  Each of them can be represented in vector notation  by a.i + b.j where i and j are unit vectors in the x and y direction.  But, assuming the rigidity is the same in the opposite direction, which is usually true, then each of them can also be represented as -a.i -b.j.

Is there necessarily a single center of rigidity for an arbitrary group of walls?  I would guess that the answer is no because some can act in the opposite direction.  It depends upon the forces and the location of forces acting on them.  

However, I have not thought it through, so do not want to commit to a particular answer at this moment.  It is nearly midnight and I am going to bed.  Nighty night.

BA

RE: Rigidity center of inclined walls?

(OP)

BAretired:

Quote:

Is there necessarily a single center of rigidity for an arbitrary group of walls?
Yes, it's undependable from the load direction!
 

RE: Rigidity center of inclined walls?

007,

I believe you are correct.  The method you indicated in your earlier post should be okay.   

BA

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