De-formation Force & Work or Flexural Modular Force & Work, Simplified

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The simplest methodology is sought to represent material deformation. In the image above, an example of a beam under gravitational influence from a central fulcrum is indicated, in the upper portion. The latter time sequence of the same beam is displayed with more de-formation than earlier, from equal mass apportioned to each end. In the earlier example gravity deforms the beam under its own mass. The deformation from the mass, placed under gravitational acceleration, at the ends of the beam can substitute mechanical, compressional deformation. The one measurement achieves both objectives accurately and precisely.

The distortion of the beam is arithmetically cumulative of the self de-formation added to the extra deformation from the added end-point masses. Where the dimensional constant, h[2], will be generally substituted by h - a complete dimension. The deformation rate can be determined by the deformation work done. The equation for that relationship is W = m * g * ( h + h[1] ).

The most important aspect to consider is W ∝ h , where W is the deformation dimension. To determine deformation force, simply divide work (W) by distance (d). This method is a lot simpler, in conceptual interpretation and familiarity than σ = 2 * M * G / I .

W = m * g * h

m = 7 kg

g ~ 9.81 m / s^2

h [1] = 1 m , h [2] = 2 m

W = 7 kg * 9.81 m / s^2 * ( 1 m + 2 m ) ,

206.01 J --> F = 206.01 J / 3 m , 6.867 * 10 N

h = 1 m --> W = 6.867 * 10 J , F = 6.867 * 10 N

h = 10 ^ -3 m --> W = 6.867 10 ^ -3 J , F = 6.867 * 10 ^ -3 N

The method is simple and accounts for all mechanical deformation. The equation works perfectly for any deformation which does not exceed Hooke's Law.

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