Angular Deflection

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

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:

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