Angular Deflection
Angular deflection 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:
\(\large{ l = \frac {\pi r \theta}{180} }\)