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How to solve SDOF for an impact test

  1. Sep 9, 2016 #1
    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.
     
  2. jcsd
  3. Sep 9, 2016 #2

    Nidum

    User Avatar
    Science Advisor
    Gold Member

    This question seems to be essentially the same as one I replied to recently ?
     
  4. Sep 9, 2016 #3
    Yes, but i think the post was deleted or something. i cannot find it. Is it possible to re-post your reply please?
     
  5. Sep 9, 2016 #4
    1. The problem statement, all variables and given/known data

    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. Relevant equations


    3. The attempt at a solution

    I have attempted to solve the equation of motion with the graphs but i couldn't do it.
     
  6. Sep 10, 2016 #5

    JBA

    User Avatar

    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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