How to solve SDOF for an impact test

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SUMMARY

The discussion focuses on solving a single degree of freedom (SDOF) system to calculate the impact force of a 10 kg steel ball falling from a height of 1 meter onto a concrete beam. The acceleration of the ball and the mid-span displacement of the beam are known, allowing for the calculation of the impact force using the appropriate equations of motion. The solution involves applying the formula for point load deflection in beams, particularly when the beam is simply supported.

PREREQUISITES
  • Understanding of single degree of freedom (SDOF) systems
  • Knowledge of impact force calculations
  • Familiarity with beam deflection formulas
  • Basic principles of free fall motion
NEXT STEPS
  • Study the equations of motion for single degree of freedom systems
  • Learn about calculating impact forces in structural engineering
  • Research beam deflection calculations for simply supported beams
  • Explore the effects of material properties on impact resistance
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Structural engineers, mechanical engineers, students in physics or engineering disciplines, and anyone involved in impact testing and analysis of materials.

StathPol
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Hi guys,

Can you help me with my problem please? if a steel ball 10 kg falls from 1 metre (free fall) and hits a concrete beam, how can I solve a single degree of freedom system to get the impact force and compare it with the test?

Acceleration of the steel ball is known (so impact force can be calculated)
Mid-span displacement of the beam is known as well.

Thanks.
 
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This question seems to be essentially the same as one I replied to recently ?
 
Yes, but i think the post was deleted or something. i cannot find it. Is it possible to re-post your reply please?
 

Homework Statement



Can you help me with my problem please? if a steel ball 10 kg falls from 1 metre (free fall) and hits a concrete beam, how can I solve a single degree of freedom system to get the impact force and compare it with the test?

Acceleration of the steel ball is known (so impact force can be calculated)
Mid-span displacement of the beam is known as well.

2. Homework Equations [/B]

The Attempt at a Solution



I have attempted to solve the equation of motion with the graphs but i couldn't do it.
 
If you have the physical characteristics of the beam and if its ends are simply supported then you can calculate the force utilizing the formula for a point load for calculating the deflection of the beam to find the force applied.
 

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