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In this tutorial, we are working on a three-moment equation for a beam with support settlements at various points. The beam is 30 meters long with three spans of 10 meters each, and different support settlements at points A, B, C, and D. The modulus of elasticity and moment of inertia are constant along the beam's length. We need to calculate the moments at intermediate supports A, B, and C using the three-moment equation formula provided.