# Lateral Deflection

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.

## 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 "$$l_o$$" is significant, take care at installation to avoid stress on the hose and braid at the maximum offset distance.

## Lateral Deflection hose length formula

$$\large{ l = \sqrt {6 \;r\;d + d^2} }$$
Symbol English Metric
$$\large{ l }$$ = hose length $$\large{ft}$$ $$\large{m}$$
$$\large{ r }$$ = minimum centerline bend radius for constant flexing $$\large{ft}$$ $$\large{m}$$
$$\large{ d }$$ = offset distance from centerline $$\large{ft}$$ $$\large{m}$$

## Lateral Deflection offset hose length formula

$$\large{ l_o = \sqrt {l^2 - d^2} }$$
Symbol English Metric
$$\large{ l_o }$$ = offset hose length $$\large{ft}$$ $$\large{m}$$
$$\large{ l }$$ = hose length $$\large{ft}$$ $$\large{m}$$
$$\large{ d }$$ = offset distance from centerline $$\large{ft}$$ $$\large{m}$$