Ehi Prof, thank you very much for the free content and very high quality, it's rare to find information like this for civil engineering. I have one question: how can I derive why some geometries do not experience warp? Thank you very much :)
Thank you very much for the nice comment. I can think of two ways of verifying that certain cross-sections do not warp. One is experimental, simply building plastic beams and twisting them to observe whether the cross-sections warp. Another approach, probably more along the lines you had in mind, is to draw the omega diagram for all kinds of cross-sections. Then you will observe that for certain cross-sections, such as X and T cross-sections, the final omega diagram is zero all over. That means they don't warp.
Thanks !
Ehi Prof, thank you very much for the free content and very high quality, it's rare to find information like this for civil engineering. I have one question: how can I derive why some geometries do not experience warp? Thank you very much :)
Thank you very much for the nice comment. I can think of two ways of verifying that certain cross-sections do not warp. One is experimental, simply building plastic beams and twisting them to observe whether the cross-sections warp. Another approach, probably more along the lines you had in mind, is to draw the omega diagram for all kinds of cross-sections. Then you will observe that for certain cross-sections, such as X and T cross-sections, the final omega diagram is zero all over. That means they don't warp.
@@terjehaukaas Thank you very much for the exhaustive response, keep up with the wonderful work :)
Good Information. Do you have any videos on derivation of stiffness matrix including 7th Degree of freedom ?
Thanks for the question! So far, no video, only this document on my website: civil-terje.sites.olt.ubc.ca/files/2020/03/Frame-Elements-in-Torsion.pdf
@@terjehaukaas The document would be the same for euler and timoshenko beam right?