richard_leeds wrote:ringo wrote:In leymans terms if i nail a metal ruler to a table i have to include the weight of the table and use the table's rear legs as the pivot point, not the nail.
Ringo, I have empirically tested this.
I have put a 300mm ruler on the edge of my desk with 100mm projecting beyond the edge. I then pushed down on the projecting tip and the ruler rotated about the edge of the table. The table itself remained stationary. The ruler acted as a see-saw pivoting about the table edge.
I then placed my left arm over the entire length of the ruler and again pushed on the projecting tip with my right hand. The tip of the ruler deflected but the backspan under my arm did not move. The table did not move. The ruler acted as a cantilever with a rigid backspan.
Now imagine if that ruller was a 1 inch thick plate of steel, ie it has a very high stiffness. Wouldn't you agree that there will be no pivoting about the edge of the table?
The ruler would act as if it is one solid body with the table, and the table will lift about it's rear leg.
This exercise is to demonstrate that if the bending strenght of the floor and plank combined is so great enough, the force that is being applied to it will not bend the splitter, it will in fact have a tendency to simply push back on the whole car instead of deflecting one little section.
It is this approach that you would use to determine what kind of contact force with the floor you are experiencing and how weak the floor needs to be so that the force goes into deflecting the less stiffer floor than translating through the body.
This describes scarbs theory. The weight of the table is irrelevant as long as the self weight lever arm is greater than the test force lever arm.
No, you are ignoring the stiffness of the bodies.
This is numerical problem and its simpler talking about than actually anlayzing how to make it actually feasible.
ie (car weight * wheelbase/2) > (test load * distance from test loading to rear axle)
Given the test load of 200kg, car weight of 600kg, and wheelbase of 4m then equilibrium would occur when the test load was applied 6m from the rear axle.
Or, if the distance from the rear axle to test load was 3.5m then the test load would have to be greater than 342kg to lift the entire car.
You are ignoring stiffness. Is the body perfectly rigid? how can you prevent the force from acting through the whole body and only on the front splitter?
A la the table and the ruler, what are the conditions for the ruler to bend, and what are the conditions for it to be so rigid that it acts like a handle and the table lifts?
The ferrari bendy floor controversy is an extension of this.