Correct me if I were wrong, but the way the axle is loaded will create tension in the top fibers at the middle of the axle, not compression. Furthermore, y in the stress equation is the radial distance measured from the neutral axis (approx. in the middle) for small deflection scenario. Thanks.
I don't think there is any inconsistency between your comment and my lecture, see 21:37. The moment is negative in the middle of then (along the length of the beam/axle) and with the negative sign in sigma = -My/I there is a positive (tensile) stress at the top. y is measured from the centroid as indicated in my figure at 21:37 and 23:38 and is consistent with my time history under point 1 for a point that starts on the right at y = 0 and travels around the axle counter-clockwise .
@@mbarkey.mechanics Thank you very much for your prompt reply. It is just when it was mentioned that the point A, see 20:21 is in compression, I was a bit alarmed :). But I believe we both agree now to the state of stress for point A (tension). My second comment relates to S=MY/I equation, as you know Y is the distance of the point where stress is calculated measured from the neutral axis. I see you are basically expressing Y on a vertical axis, which is fine considering the axle is axisymmetric. Thanks again for your fast reply.
Nice idea with the paper clips!
Correct me if I were wrong, but the way the axle is loaded will create tension in the top fibers at the middle of the axle, not compression. Furthermore, y in the stress equation is the radial distance measured from the neutral axis (approx. in the middle) for small deflection scenario. Thanks.
I don't think there is any inconsistency between your comment and my lecture, see 21:37. The moment is negative in the middle of then (along the length of the beam/axle) and with the negative sign in sigma = -My/I there is a positive (tensile) stress at the top. y is measured from the centroid as indicated in my figure at 21:37 and 23:38 and is consistent with my time history under point 1 for a point that starts on the right at y = 0 and travels around the axle counter-clockwise .
@@mbarkey.mechanics Thank you very much for your prompt reply. It is just when it was mentioned that the point A, see 20:21 is in compression, I was a bit alarmed :). But I believe we both agree now to the state of stress for point A (tension).
My second comment relates to S=MY/I equation, as you know Y is the distance of the point where stress is calculated measured from the neutral axis. I see you are basically expressing Y on a vertical axis, which is fine considering the axle is axisymmetric. Thanks again for your fast reply.
thx for uploading! it's just way too quiet to be heard cleaerly without using an earphone.