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Simple yield line question

canwesteng

Structural
May 12, 2014
1,724
I'm having a brain fart here, and no one in my office is terrific with yield lines. Normally I take the yield line mechanism of a flat plate (fixed support in this case) to be the red line, with the diagonals at 45 degrees. However, the project length about the horizontal of the diagonal yield lines decreases the steeper they get and the vertical projection doesn't change. So the steeper these get the weaker the mechanism, though this seems irrational. It is simple to just call the diagonals 45 degrees in the case of reinforcement equal in each direction, but in this case the short side has less reinforcement than the strong side, so it must be somewhat steeper than 45. Is there something I'm missing?

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What is your go-to reference for learning/worked examples for this? No one in my office uses yield line theory, but it's something I'd like to learn.
I have been retired since 2008, so my go-to reference may be a little out of date. I started to use Yield Line Theory in the early 1960's. My reference was "Reinforced Concrete Fundamentals" by Phil M. Ferguson. I expect there have been more recent articles on the subject since then, but I can't recommend any in particular.
 

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