I designed a thin-walled structure under bending problem for my class. I think this is an interesting problem because when you make a small cut, the shear center shifts outside the section. For a simple circular section like this, the shear center shifts by exactly the diameter of the circle when you make that small cut.
Thanks a lot for sharing. This is typically taught in required course for undergraduates who are majoring in aerospace structures and materials, although many students might forget about it after being taught.
By the way, for closed section, the shear center location can be also be reasoned using symmetry wrt both y and z because you already used symmetry (wrt z) as an argument for the open section.
What is more interesting, challenging, and confusion is about twist center and its relations to shear center. Many believed that twist center is the same as shear center. You can refer to my paper for a discussion about these two and their relations.
https://www.sciencedirect.com/science/article/abs/pii/S0263822324008183.
Particularly, Prof. Shuguang Li claimed that twist center will be always at the centroid, for which I am not convinced yet. Anybody wants to take this as a challenge to figure it out?
https://journals.sagepub.com/doi/abs/10.7227/IJMEE.31.3.4
