Table 1. Calculation of forces and...

Table 1.

Calculation of forces and moments acting on the structure

Force	Moment = Force × moment arm
$F_{wh} = h_{w} ρ_{w} (g / 2)$	$M_{wh} = F_{wh} [h_{w} \times (1 / 3)]$
$F_{wv} = h_{w} ρ_{w} g$	$M_{wv} = F_{wv} [L_{u} \times (1 / 2)]$
$F_{cv} = F_{cv 1} + F_{cv 2}$ $F_{cv 1} = t_{2} (L_{u} + L_{d}) ρ_{c} g$ $F_{cv 2} = (t_{1} - t_{2}) (L_{u} + L_{d}) ρ_{c} (g / 2)$	$M_{cv} = M_{cv 1} + M_{cv 2}$ $M_{cv 1} = F_{cv 1} [(L_{u} + L_{d}) (1 / 2)]$ $M_{cv 2} = F_{cv 2} [(L_{u} + L_{d}) (1 / 3)]$
$F_{uv} = F_{uv 1} + F_{uv 2}$ $F_{uv 1} = p_{2} (L_{u} + L_{d}) ρ_{w} g$ $F_{uv 2} = (p_{1} - p_{2}) (L_{u} + L_{d}) ρ_{w} (g / 2)$	$M_{uv} = M_{uv 1} + M_{uv 2}$ $M_{uv 1} = F_{uv 1} [(L_{u} + L_{d}) (1 / 2)]$ $M_{uv 2} = F_{uv 2} [(L_{u} + L_{d}) (1 / 3)]$

Subscripts h and v denote horizontal and vertical forces, respectively, and the moments caused by them. Subscripts 1 and 2 and letters u and d interchangeably denote the upstream and downstream sections where thickness and pressure vary linearly

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