RC Shear Wall Lateral Load Distribution

[cn12dn]

Hi all,

I'm working through an example of distribution lateral load into shear walls depending on their relative displacement. The example is from Reynold's Concrete Design Handbook, but I am struggling to understand the derivation behind an equation they are using to calculate the amount of force going into each wall, and I don't like using an equation if I don't understand the physical meaning behind it.

Is anyone able to explain the attached equations? I figured it to calculate the force in each wall it would just be a case of multiply relative stiffness by F.

Thanks in advance

 

[KootK]

You might check out the instantaneous center of rotation method for analyzing bolt groups. Pretty much the same theory. You're treating each element as a lateral spring and working out a force distribution that:

1) Maintains equilibrium and;

2) Jives with the stiffness of the springs at the calculated displacements.

 

[cn12dn]

Hi KootK,

Thanks for the reply. I had a look for some information on instantaneous rotation method for bolt groups. Do you have any good resources you recommend in particular?