Simple Beam Analysis - example of simple span beam analysis - Messages
SimplySpanBeam.sm (138 KiB) downloaded 653 time(s).
WroteSample Beam.sm extended to include drawing of shear, moment and deflection diagrams.
What a piece of work !!!
Maths SimplySpanBeam [Missouri].sm (144 KiB) downloaded 309 time(s).
Awesome work. I like this file
@Jean Giraud
On my computer your file has a calculation time of more than 3 minutes, while the original file calculates in less than 3 secs. Can't find the reason for this.
A few things for improvements:
- Is it possible, to dynamicaly adjust the diagram area/axis?
- There's a diagram for the deflection of the bending moment. What about a diagram of the deflection of the shear force? In my daily work this usualy can't be ignored
- This sheet calculates the max. values of moment, shear and deflection. Can this be extended to calculate also the values on a special position?
Great work
Wrote@Jean Giraud
On my computer your file has a calculation time of more than 3 minutes,
while the original file calculates in less than 3 secs.
Can't find the reason for this
It does not make sense at all. Here is the work sheet.
Timing Win 7 Edition Starter [1.66GHz].
Maths SimplySpanBeam [Missouri].sm (134 KiB) downloaded 84 time(s).
QuoteA few things for improvements:
- Is it possible, to dynamicaly adjust the diagram area/axis?
- There's a diagram for the deflection of the bending moment. What about a diagram of the deflection of the shear force? In my daily work this usualy can't be ignored
- This sheet calculates the max. values of moment, shear and deflection. Can this be extended to calculate also the values on a special position?
Jean, thanks for reviewing the file and the comments. I really appreciate the better singularity function you provided.
SimplySpanBeamV2.sm (172 KiB) downloaded 301 time(s).

I still have a problem with the calculation time. But I think it's a problem of my system and not of this document. I need e.g for the *fill-functions between 1...2 minutes(!) each. But it varies very much.
By my checks I noticed, that the original file was made in two languages (englisch and russian). When you want to keep this feature you have to write no text inside the diagram areas, because the plot region plugin doesn't support this feature.

And finally:
In the wiki there's a (small) list of examples. I think this file would be a good addition for this list. If you consider the power of SMath this list is far to small! Just an idea...
WroteBy my checks I noticed, that the original file was made in two languages (englisch and russian). When you want to keep this feature you have to write no text inside the diagram areas, because the plot region plugin doesn't support this feature.
not impossible to do, you have to use the function description()

SimplySpanBeam_ImperialUnits.sm (174 KiB) downloaded 159 time(s).
For the worksheet to operate correctly the attached units.xml must be used in place of the original file in the C:\Program Files (x86)\SMath Studio\entries folder. Please make a backup copy of the original units.xml file before switching so that you can always go back to the original.
Units.xml.txt (26 KiB) downloaded 192 time(s). (remove the .txt extension before use)
The attached units.xml file has been modified so that US Imperial units are the default for the Length, Area, Volume, Force, Pressure, and Mass categories.
WroteThank you for sharing that xml file. Since it's in the program directory, would that xml file get overwritten by program updates? Would users need to replace the units file with this one every time a new SMath version is installed?
I don't understand much in there. If needed, easy to zap units.
Added linfitCheby to enrich the project.
Easy to find the location of the max bending.
As you will play with the loads distribution, the fit will auto-update.
Few minutes job ... hope useful ... Jean
SimplySpanBeam_ImperialUnits linfitCheby ADDED.sm (221 KiB) downloaded 131 time(s).
WroteThank you for sharing that xml file. Since it's in the program directory, would that xml file get overwritten by program updates? Would users need to replace the units file with this one every time a new SMath version is installed?
Yes, your intuition is spot on: this file will be overwritten when you install a different version (making the file readonly had no effect). If you do upgrade your 「Units.xml」, you have to keep a copy on hand. With that being said, DO NOT save your copy in the 「C:\Program Files (x86)\SMath Studio\entries\」; this folder location appears to process ALL xml files, so having your 「Units.xml」 and your 「Units_Copy(1).xml」 in this folder will cause your SMath to crash (as it tries to add units that already exist).
Also, with regards to modifying the 「Units.xml」 file: make sure your modifications do not corrupt the 「Constants.xml」 file! In essence, the 「Constants.xml」 is an extension of 「Units.xml」 and may or may not have the appropriate factors/multipliers when compared to the modified 「Units.xml」.
Take care,
-Kenny Lemens, P.E. ᵂᴵ
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