How do I calculate the force required to crush a beverage can mathematically by using equations in pneumatic can crushers?

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Jeffrey J Weimer

The can crushes due to buckling. Search for publications with models to crush thin-walled tubes under axial load.

David Johnson

I agree with Jeffrey, if the can is loaded in the axial direction, it will buckle. eg. you can use the Euler equation or similar for that.

Naveen Bhatt

Dear Mahendra…

I completely agree with Jeffrey and David that as the can (cylindrical shell) will be crushed, the mode of failure will be buckling….for that you can refer NASA SP 8007 for mathematical calculation....it is open for public….but I would like to add some more…

I do not know how/what you are planning exactly so we will start with some assumptions….Assume you want to crush a single cylindrical can (as it looks by your question) at a time and you are having luxery of time to put it in proper orientation as you wish……problem is relatively simple and force can be calculated with some formulations + crushing simulations and a few tests….you can crush a cylinder by applying force in axial direction as well as by applying force in diametrically inward direction……as per my understanding of crushing you will try to convert it in a body with no air gap inside….. hence, in my opinion force requirement will be larger than the force required to buckle the can…..

Problem will be more complex if you want to use the crusher for crushing many cans at a time and you are picking them from a pile of garbage….you will fill some big number of cans (say 100) between the jaws which will be randomly oriented also some of them are filled….remember a filled bear can is having higher buckling load than an emptied one….In such case force requirement will be higher and difficult to calculate…hopefully some tests will be required….

Benefit of impact loading could be taken (just a blind suggestion)…..

Hope that will help..

Regards

Kumar Digvijay Mishra

NASA SP 8007 is an excellent starting point. Several FEA softwares like ANSYS and ABAQUS already have this problem solved and published on their websites.

Practically I have seen thin walled cans being crushed in workshop on bench vice, provided sufficient leverage.