# Deflection of beam formula NOT considering loads

The actual deflection formula:

v= wx(Lx2-x3-L3)
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requires me to consider load then shear, bending moment, slope and finally deflection.

Is there any way it can be found directly without considering the above?

I too would be interested to know this.

In my mind, if there is no load, then there is no deflection.

Unless its deflecting under its own weight that is?

If there is no load then w = 0 therefore v = 0, meaning there is no deflection.

If there is no load then w = 0 therefore v = 0, meaning there is no deflection.
if there was no load, of course there wont be any deflection, what I'm trying to say is that is there any direct formula to find deflection WITHOUT considering load?

Beam formulas can be derived through use of equation of the elastic curve, singularity functions, and the moment of area method. Read up on those methods.

Beams do not deflect without having a load on them to cause that deflection.

What do you mean when you say you want to find deflection without considering load? As stated previously, with no load, there is no deflection, but that did not seem to satisfy you. What exactly do you want?