Consider a vertical water-gate AB of height 2 m hinged at ‘O’, the center of the gate. Determine the horizontal force required to hold the gate in place. The gate is 1 m wide.
(Fig. 8c)
Consider the section AO (above the hinge). The hydrostatic pressure-force acting horizontally will make the gate rotate in the clockwise direction, whereas that below the hinge ‘O’ will make the gate rotate in the anti-clockwise direction. Take moment about ‘O’ of these forces and equate to that of F: