Rework example 3.6.4 if the top of the inclined rectangular gate is 3 ft below the water s...

Rework example 3.6.4 if the top of the inclined rectangular gate is 3 ft below the water surface.

EXAMPLE 3.6.4

Consider an inclined rectangular gate with water on one side as shown in Figure 3.6.4. Determine the total resultant force acting on the gate and the location of the center of pressure.

SOLUTION

To determine the total resultant force, F = γhcA, where hc = 5 + 1/2(4 cos 60°), so that

The location of the center of pressure is

where :

Using equation (3.6.9), hcp = ycp sin θ = 12.11 (sin 30°) = 6.06 ft

Figure 3.6.4 Inclined rectangular gate for example 3.6.4.