I recently had a discussion with another engineer about shear walls and the check that are necessary to establish their capacity to resist horizontal loads.
He was arguing that the walls should be checked as cantilevering beams, which I agreed with. The point we did not agree on was the use of the Euler–Bernoulli bending theory to model the beam.
In my understanding, an important assumption of the Euler-Bernoulli theory is that the beam is slender, which allows to consider that plane sections remain plane.
A shear wall often has an aspect ratio so that its depth is greater than its height, and therefore the Euler-Bernoulli assumption is invalid (although probably conservative).
Hence my questions:
- Is there any way to determine the stress distribution in a cantilevering non-slender beam?
- Would Timoshenko bending theory give a different stress distribution than Euler-Bernoulli?