Shaft Impact Calculation

Purpose of calculation
Consider loading on an aluminium shaft due to 1g vertical. Calculate bending moment, stress and strain energy.
Determine impact force when being lowered from a crane at 100mm/s.
Calculation Reference
First principles.
Calculation Validation
XLC addin used to check formulae.
Comparison against ansys result.
Procedure
Input:
Length of shaft
Density of Aluminium
Mass of paper roll
Mass of Shaft
Acceleration due to gravity
Velocity of decent
Young's Modulus (aluminium)
Position from end of shaft
Calculate
Heaviside function for bearing load
Heaviside function for first drum load
Heaviside function for first drum load
1g reaction force
1g drum bearing load
Bending Moment equation
Calculation is performed for 100 steps from end of shaft to centre position
Strain energy due to 1g vertical load
Kinetic energy before impact
Impact Factor
Plot
Bending Moment
Section Properties
Stress
Strain Energy

Calculation Reference
Analysis of Impact
Shock and Vibration
Dynamic Analysis