# Angular Deflection

Angular deflection, abbreviated as \( \theta \) (Greek symbol theta), is when a flex connector is bent on it's centerline. One end of the hose assembly is deflected or bent with the other end remaining parallel.

### Angular Deflection formula

\(\large{ \theta = \frac {F \;l}{2\; \lambda\; I} }\)

Where:

\(\large{ \theta }\) (Greek symbol theta) = angular deflection

\(\large{ I }\) = area moment of inertia

\(\large{ l }\) = beam or hose length

\(\large{ C }\) = connector / coupling

\(\large{ F }\) = force acting on the tip of beam or hose

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

\(\large{ \lambda }\) (Greek symbol lambda) = modulus of elasticity

\(\large{ \pi }\) = Pi

Solve for:

\(\large{ l = \frac {\pi\; r\;\theta}{180} }\)