Determine the resultant force on the wall of a tank ABC as shown in Fig. P 3.19.
Considering unit width,
Horizontal force equals the force on the projected area = γ A \bar{h}
= 9810 × 4 × 2 = 78480 N
This force acts at 2.6667 m from the top
The vertical force equals the weight of the volume above the surface (unit width)
Vertical force = 9810 × (4 × 2 – π 2^{2}/4) × 1 = 47661 N (downward)
Resultant = (78480^{2} + 47661^{2})^{0.5} = 91818 N
Angle with vertical θ : \tan^{– 1} (78480/47661) = 58.73°
To fix the line of action, the line of action of the vertical force should be determined.