How to solve SDOF for an impact test

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Discussion Overview

The discussion revolves around solving a single degree of freedom (SDOF) system for an impact test involving a steel ball falling from a height and striking a concrete beam. Participants explore how to calculate the impact force and compare it with test results, focusing on the dynamics of the impact and the resulting displacement of the beam.

Discussion Character

  • Homework-related, Technical explanation, Exploratory

Main Points Raised

  • One participant describes a scenario where a 10 kg steel ball falls from 1 meter and impacts a concrete beam, seeking assistance in calculating the impact force and mid-span displacement.
  • Another participant notes that the question resembles a previous discussion, suggesting a potential overlap in topics.
  • A later reply indicates that if the beam's physical characteristics are known and its ends are simply supported, it may be possible to calculate the impact force using a formula for point loads to determine deflection.
  • One participant expresses difficulty in solving the equation of motion and requests further guidance on the approach.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the method to solve the problem, and multiple viewpoints and approaches are presented without resolution.

Contextual Notes

There are limitations related to the assumptions about the beam's support conditions and the need for specific physical characteristics to apply certain formulas. The discussion does not clarify all necessary parameters for a complete solution.

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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