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A slender bar, of length 1 m and weight 100 N, lies horizontally on the floor. The entire bar is noticed to have sunk 1 mm into the floor because of its weight.The floor is padded with a special material that is known to behave elastically (i.e. the reaction at any point is directly proportional to the amount of sinking).

A 1000 N concentrated force is now applied to the center of the bar as shown below.

http://i941.photobucket.com/albums/ad260/dcheddie007/rigidbar3.jpg

Find an expression for the redistributed normal reaction r(x).

The flexural stiffness of the bar, EI = 25000 Nm²
i.e. the bar is NOT RIGID.