In the case of a simply supported beam subjected to a point load, the bending moment distribution is a key aspect of the beam's response. The bending moment is a measure of the internal moment that resists the external load, and its magnitude varies along the length of the beam.
For a simply supported beam with a point load applied, the bending moment is greatest at the location of the point load itself. This is because the moment increases as you move away from the supports, reaching its peak at the point of application of the load. The bending moment decreases as you move further away from the load, ultimately becoming zero at the supports.
Therefore, the maximum bending moment in this case occurs at the point load.
Hence, the correct answer is: At the point load.