Curved Surfaces – Example

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Problem

Determine the resultant force and its direction on the gate shown:

Solution

The horizontal force, per metre run of the gate, is that of the surface projected onto a vertical plane of length CB:

measured anticlockwise to the horizontal. The resultant passes through point C. Also, as the force on each infinitesimal length of the surface passes through C, there should be no net moment about C. Checking this:

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