keiwong
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That would be true if it were a rectangular section. I do not think it will work the same way since the section is a flanged shape. The middle third thing works for all rectangular sections and sections that are symetric and can be composed of rectangular sections.keiwong - you'd solve 137 in the same way.
- With a P*e=M and vertical equilibrium check, you have 2 unknowns: the distance of bearing and qmax.
- When e<L/6, you have a qmin and qmax.
- With a large e (>L/6)... just a 0 and qmax.
- You might be served well by actually deriving the formulas at the very beginning of the foundation chapter of the SERM. It's basic statics.
Lets think first of a pure rectangular footing; once the the load moves outside the middle third you will have zero load under the back end of the footing, however this new reduced area footing is still rectangular and you can assume that the load now is at the 1/3 point of this new smaller footing. The (P/BL)+(M/S) equation just becomes a rewritten form of (P/B)+(M/S'). However, if the footing was an I shape, the new reduced area footing is no longer symetric therefore the equations in the front of the SERM will not work any more.