Geometry

Loads

Load distribution is similar to helical in that it has components in all three directions ( $W_{r}, W_{t}, W_{x}$ ) which are applied at the pitch radii ( $r_{P}, r_{G}$ ).
- With $P$ for pinion and $G$ for gear, we have:

W_{tP} = \frac{T _{in}}{r _{P}} = W_{tG} = \frac{T _{out}}{r _{G}}

Given $W_{t}$ , other forces are computed using $ϕ$ (pressure angle) and $γ$ (pitch cone angle for pinion):

W_{r P} W_{x P} = W_{tP} tan ϕ cos γ = W_{tP} tan ϕ sin γ

Pinion is perpendicular r to gear, so the radial direction for pinion becomes the axial direction for the gear:

W_{r P} = W_{x G}, W_{x P} = W_{r G} (W_{tP} = W_{tG})