Deflection of beam formula NOT considering loads

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Discussion Overview

The discussion revolves around the deflection of beams, specifically exploring the possibility of determining deflection without considering applied loads. Participants examine the relationship between load and deflection, questioning whether deflection can occur in the absence of external forces.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant presents a deflection formula that incorporates load, shear, bending moment, slope, and deflection, questioning if a direct method exists that bypasses these considerations.
  • Another participant suggests that without any load, there should be no deflection, but raises the possibility of deflection due to the beam's own weight.
  • Several participants assert that if there is no load, then the deflection (v) must equal zero, reinforcing the idea that deflection is contingent upon applied loads.
  • A participant mentions that beam deflection formulas can be derived using various methods, implying that these methods still rely on the presence of loads.
  • One participant challenges the notion of finding deflection without considering load, seeking clarification on the intent behind the original question.

Areas of Agreement / Disagreement

Participants generally agree that deflection requires the presence of a load, but there is disagreement regarding the possibility of finding a direct formula for deflection without considering loads. The discussion remains unresolved on this point.

Contextual Notes

Participants express uncertainty about the implications of deflection without load and the definitions of load in this context. The discussion does not resolve the mathematical or conceptual aspects of deriving deflection formulas without considering 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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