table

Here is Canvas object wihch demonstrate the problem.

From beam tables, the deflection at B is given by:

and the slope at B is:

Next, consider the portion of the beam from A to B. This portion of the beam has no loading. Consequently, there will be no bending moment and the beam will remain straight (i.e., undeformed) between A and B. Since the deflection vB and the slope θB are now known, the deflection vA can be determined from basic geometry.

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Cantilever beam – uniformly distributed load