Shear Centre in an Asymmetrical Section

[istambul]

Hello fellow members,

I am working on the analysis of a section subjected to bending, shear and axial, torsion. The section is asymmetric about both the axes. I would like to know is there any method to calculate shear centre by hand calculations similar to the way we calculate moment of inertia? If the section is symmetric about at least one axis, it would not be a tough task. Please suggest me some references/ methodology, I would be grateful. Please find attached typical section.

Thanks in Advance

 

[Yao1989]

Mechanics of Materials by Hibbler would be a good start. Most simplified equations though, e.g. shear center appears to be from a general calculus/differential equation, that, due to simple shapes, can simplify to easy equations. I don't think you will have much luck with irregular shapes as shown. Maybe you can create a custom section in SAP2000 or some kind of FEM software, although I have never personally verified the accuracy of those.

 

[MacGruber22]

Also, AISC design guide Appendix C:

https://www.aisc.org/store/p-1585-d...analysis-of-structural-steel-members-see.aspx

You can use excel to goal seek for the shear center by setting torsion = 0


"It is imperative Cunth doesn't get his hands on those codes."

 

[RPMG]

If you can calculate the shear center about one axis, you can calculate the shear center about both axes with the same method:

For a singly symmetric (about horizontal) shear center: (1) calculate inertia, shear flow, resultant shear flow, sum moments equal to zero, and solve for shear center axis. (2) draw symmetric axis. (3) find the intersection (shear center).

For an asymmetric shear center: (1) calculate inertia, shear flow, resultant shear flow, sum moments equal to zero, and solve for shear axis. (2) Rotate 90 degrees, repeat step (1), and solve for second shear axis (3) find the intersection (shear center).