How to solve SDOF for an impact test

[StathPol]

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.

 

[Nidum]

This question seems to be essentially the same as one I replied to recently ?

 

[StathPol]

Yes, but i think the post was deleted or something. i cannot find it. Is it possible to re-post your reply please?

 

[StathPol]

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.

 

[JBA]

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.