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so the purpose of this video is to introduce the concepts of consolidation settlement how to do those calculations I want to start off by looking at the stresses on a bar so this bar has initial length L naught we apply stress stretches and it changes in length by DL now lets look at the stress-strain relationship for this bar were going to assume that this material has a linear elastic relationship between stress and strain so the slope of our curve between stress and strain is the magis elasticity or e so we can see that we have a relationship and stress is equal to the modulus of C times our strain or that our strain is the stress divided by our body modulus elasticity we also know that our strain is equal to the change in length over the original or initial length and therefore the change in length is equal to initial length times our strain or a debt initial length times the ratio of stress over the Montes elasticity want to look at a case a little more complex the bar that we