# Lateral Deflection

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Lateral deflection is when an object (flex connector) is bent off it's centerline and both of it's ends are parallel to each other.

### Lateral Deflection formula

(Eq. 1)  $$\large{ l = \sqrt {6 \;r\;d + d^2} }$$

(Eq. 2)  $$\large{ l_p = \sqrt {l^2 - d^2} }$$

Where:

$$\large{ l }$$ = hose length

$$\large{ l_p }$$ = projected hose length

$$\large{ C }$$ = connector / coupling

$$\large{ r }$$ = minimum centerline bend radius for constant flexing

$$\large{ d }$$ = offset distance from centerline

### notes

• When the offset motion occures to both sides of the hose centerline: $$2$$ times $$d$$
• The offset distance "$$d$$" for constant flexing should never exceed 25% of the centerline bend radius "$$r$$".
• If the distance "$$l$$" and "$$l_p$$" is significant, take care at installation to avoid stress on the hose and braid at the maximum offset distance.