A cantilever of length L carries a gradually (linearly) varying load from zero at its free end to w per unit length at the fixed end. The product of deflection and flexural rigidity (EI × y) at the free end is:

Various options of uniform cross-sections (A-A) were considered while designing a beam. For a given cross-sectional area, which section will have the minimum deflection under bending load?

For a simply supported beam of length L carrying a concentrated load P (vertically downward) at the centre, the slope at the ends will be: (where EI is the flexural rigidity)