Project #16925 - Calculating distribution of forces on a platform

The problem is as follows:

____________________________________________________________________

A rigid platform is suspended at points A, B, & C via simple supports and held in equilibrium. a downward Force F is applied to the platform at point P. Calculate the distribution of force F that is applied to points A, B, & C.


The distribution of force will be used in the equations below:

(Force at A) = F * (Ratio at A)
(Force at B) = F * (Ratio at C)
(Force at C) = F * (Ratio at C)

As any object added to the platform cant weigh more than it does so:

1 = (Ratio at A) + (Ratio at B) + (Ratio at C)

____________________________________________________________________

I need an explanation of how to get the ratio at any point, knowing only the coordinates of the points and the position of the force on the platform.

Subject Mathematics
Due By (Pacific Time) 11/16/2013 12:00 am
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