Line with floats: Outer, inner and contact diameters

The line type wizard sets up diameters for a line with floats as follows.

Outer diameter

The outer diameter $O\!D$ of the derived line type is calculated from its volume per unit length. The volume per unit length of the line with floats, $v_{lf}$, is \begin{equation} v_{lf} = \frac{\pi}{4}\, O\!D_l^2 + \frac{v_f}{s_f} \end{equation} and we know that the volume per unit length of the derived line type is \begin{equation} v = \frac{\pi}{4}\, O\!D^2 \end{equation} Equating $v$ and $v_{lf}$ then, we arrive at an expression for the derived line type outer diameter \begin{equation} O\!D = \left(O\!D_l^2 + \frac{4}{\pi}\frac{v_f}{s_f}\right)^{1/2} \end{equation}

Inner diameter

The inner diameter is unaffected by the addition of floats, so is set to be the same as that of the base line type.

Outer contact diameter

The outer contact diameter is given the same value as the float diameter $d_f$. This allows float clearance to be reported through the line contact clearance result.

Inner contact diameter

The inner contact diameter is given the same value as the base line type.