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# flexural strength of steel

## flexural strength of steel

(OP)
Hi everyone, does someone have any idea about how to build this graphic on excel, pyhton, matlab or any other language? Is about flexural strength of steel

### RE: flexural strength of steel

These graphs are based on Lateral Torsional Buckling equations, which are given by AISC if you are in the US. That's what I know best, but I'm sure it is relatively similar in whatever design code you are being taught (likely different since I see the metric units on your example chart).

AISC 360 is the specification manual for steel construction (If you have an AISC steel manual, it's towards the back)

For example, a wide flange would use equations F2-1, F2-2 and F2-3 to calculate the moment capacity of a beam depending on the unbraced length of that beam. Lp and Lr are defined limits based on the cross section dimensions and material, which can be calculated using F2-5 and F2-6 for a wide flange. (Sorry I don't have screenshots of the equations unfortunately)

So once you have all those equations on hand, you could just set an input table with various "x-values" of unbraced length, use your spreadsheet/code to calculate the Lp and Lr limits, and then plug the x-values into the design equations to get your "y-values," your moment capacity.

If Lb is below Lp, you use one equation, if it is between Lr and Lp, you use a second equation, and if it is greater than Lr you use a third equation. Note that some of these equations require some extra bits of calculation to be performed that you will need to include in your code/spreadsheet.

Then just plot your x and y values as you would with any chart! Increase the density of your points if it's too grainy, this is pretty easy when coding using linspace (if I remember the correct python command) but can be done manually too.

### RE: flexural strength of steel

(OP)
Thank you very much my friend, this information is very useful for me

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