Beam break calculation

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1

Hello

I would like to calculate (manually) the yield strength of a 3000mm beam in a 150x150x6.3mm tube.
From how many mm of deformation I am no longer elastic.

Thank you very much and have a good day to all;)

2

Hello

I tested this web page:

http://jean.lamaison.free.fr/flexion.html

And the limit would be 10 mm (to be checked):

"The permissible deflection for the beam is 10.00 mm"

 

Edit: with a steel tube

3

Hello, the tube is made of steel?

[EDIT] Is it a deformation or fracture calculation?

[EDIT EDIT] And do you want to know the maximum load?

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4

I would add

What load (punctual, distributed)?

What type of support  ?


formulaire_poutre.jpg
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5

The tube is made of S235/E24.

I would like the acceptable arrow, before the plastic deformation.

6

Recessed on both sides, evenly distributed

7

Have you succeeded?

8

No, not at the moment.

9

Hello

Here's my flex calculation chart, I don't know if it will help but it's already a start.

Best regards.


flexion_corrige.xlsx
10

Hello

I just saw your problem. I don't know if you've found it since.

 

For me, you are going about it backwards. First of all, you have to calculate the maximum permissible force on the beam.

Recessed beam with uniformly distributed load --> Mf max = PL²/12 (this is the Mf at the supports, it is the most unfavorable)

Then --> Mfmaxi / (I/V) < 23.5 daN/mm² <-- yield strength (i.e. strain limit)

Arrow = PL^4/ (384EI)

If you want to know the maximum effort you do the opposite

Mf max / (I/V) <23.5                I/V = 159cm3 for a 150*150*6.3 tube

Mf max = 159 x 23.5 = 3736.5 DaNm

PL²/12 = 3736.5 

<=> P = 3736.5*12 / 3² = 4982 DaN / ml

We have just found the maximum distributed load for your beam, all that remains is to inject it into the deflection formula

PL^4/ (384EI)

4.982*3000^4 / (384*21000*11930000) the hardest thing is to put everything in mm

= 4.19mm

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11

Hello

For your information, there is the SmartDesign tool: it is a mechanical calculation solution that allows you to quickly make a beam calculation while reducing the risk of errors.  It is a module of the myCADservices Premium suite from Visiativ.

All the information is in this article:

10-step beam calculation with the SmartDesign tool

 

Have a good day:)

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