Civil and Environmental Engineering 2221A/B Lecture Notes - Lecture 26: Influence Line

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So now we need to place this moving load so that the midspan of the beam equally divides the distance and b/w r and a concentrated load. We have three loads, so we have three scenarios to look at. We choose the midspan because we know from the il that the max response at a will be when a load is right at the middle. So we are trying to find the scenario from this loading that closest to the maximum possible il. Now influence lines for each scenario to find which one is the most. Now, this is where an experienced structural engineer would stop. Because if we were to do the third case, we would see that it is the least. Therefore, we know that the scenario when we are analysing the concentrated load closest to the resultant will yield govern the moment and yield the absolute maximum response.

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