Deflection of beam formula NOT considering loads

AI Thread Summary
The discussion centers on the deflection of beams and the necessity of considering loads in the deflection formula. It emphasizes that without a load, there is no deflection, leading to the conclusion that w = 0 results in v = 0. Participants inquire about the possibility of finding a direct formula for deflection without considering loads, but the consensus is that deflection inherently requires a load to occur. Methods such as the equation of the elastic curve and singularity functions are suggested for deriving beam formulas. Ultimately, the conversation reinforces that deflection cannot exist in the absence of applied loads.
bandramir.raj
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The actual deflection formula:

v= wx(Lx2-x3-L3)
EI 12 24 24 24

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?
 
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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.
 
Bolts said:
If there is no load then w = 0 therefore v = 0, meaning there is no deflection.

if there was no load, of course there won't 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?
 
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