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todays video i thought i would take some time out to do a primer on weak forms versus strong forms this is a term ive just mentioned in passing until now but as we move on to dealing with approximate methods it becomes important to understand the structure of the governing equations or of the functional in terms of its mathematical form what i thought i would do is revisit the cantilevered beam problem where we have cancer leave it at the root and free at the tip and to that beam well apply some distributed load well call it f over the length of the beam f of x and lets set up some coordinates we have the x direction and the z direction and the coordinate in that direction well call w w is the displacement in the transverse direction so we have our known geometric boundary conditions which are the two at the root at x equals zero we know that the displacement w of zero is equal to the slope w comma x of zero and both are equal to zero let me remind you that in this case were jus