- #1
oreocrumble
- 1
- 0
Homework Statement
At work I am currently confronted with the following problem.
How to theoretically calculate the deflection at the tip of a rotating beam with torque loading?
y= unknown deflection at tip
L= rod length
E= Young's Modulus
I= Moment Inertia
Homework Equations
Ideally, if the beam is rotating along its longitudinal axis, there should be no deflection along its length. However, in the real world, due to runout, straightness and other factors not being perfect, the higher the torque applied by a motor at the fixed end, the more deflection occurs at the free end.
The Attempt at a Solution
Could I use the cantilever beam loading equation to solve this somehow?
y = (-F*L^3)/ (3*E*I)
Maybe if I can calculate the load at the tip with an accelerometer?