137 Calculate the force F required to hold the 4 meter wide

137) Calculate the force (F) required to hold the 4 meter wide gate closed: Water 3 meters

Solution

hc is the vertical distance of the centroid of the gate from the top.

So it should be equal to (height/2) =3/2 m as the gate is rectangular.

So force due to water = F_water = 9800*(3/2)*(4*3) = 176400 N

So, F = F_water/3 = 58800 N