Estimating Print Time

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posted in Community by mnutsch

I took a stab at estimating how long it takes to 3d print an object. I think that it might take the average 3d printer about 3.24 hours to print a 6"x6"x6" solid cube of plastic.

Would you say that is an accurate estimate?

***

Here is my math:

I found this website which gives the build speed and accuracy for a series of 3d printers: http://3dprinters.ws/comparison/

I averaged these numbers for the rows where both speed and accuracy are present (ignoring an outlier) and I got: average build speed: 98.95 mm/s

I think that the size of the filament is equivalent to layer thickness. I also think that build speeds listed are for a single extruder head, since most 3d printers only use one at a time.

Each row must be printed before the next. Each layer must also be printed before the next. Therefore there are 3 constrants to print time: the print time for a row, the number of rows in a layer, and the number of layers.

The time to print a row would be W (width) / B (build speed).

The number of rows per layer would be D (depth) / S (filament size).

The number of layers needed is controlled by how thick the levels are. Therefore the number of layers needed = H (height) / S (filament size).

The combined equation for print time is then: (W / B) * (D / S) * (H / S)

A 6" x 6" x 6" square block of plastic should therefore take 11,680 seconds on an average 3D printer.

11,680 seconds = (152.4mm / 98.94mm/s) * (152.4mm / 1.75mm) * (152.4mm /1.75mm)

Converted to hours, this would be 3.24 hours.

10 years, 4 months ago

jezzmund - I agree with timdriedger, Printing times can vary wildly for each printer.
Even the same object made on a single printer can have vastly different printing times depending on whatever configuration used.
- Especially as you increase the density of the infill.
If you *have* a printer, most printing software will give you an estimate of print time when you load your file.
Likewise if you can generate the G-Code for a print, you can load it into an online viewer to also get an estimate.
I'd recommend using http://gcode.ws as it is often the most accurate on calculating print estimates, both for print times and how much polymer will be used...
It's VERY useful for that and a number of other reasons!

10 years, 4 months ago

mnutsch - Thanks for the feedback and the link. I sometimes just like to understand the math behind how stuff works. I took another stab at the print time algorithm based off of the numbers that timdriedger provided:

(W / B) * (D / ((N / t) / d)) * (H / L)

Where:
W = width of the object
B = build speed
D = depth of the object
N = nozzle size
t = ??? some coefficient of thermal expansion maybe?
d = density as a percentage
H = height of the object
L = layer height

With timdriedger's printer:
(152.4mm / 50mm/s) * (152.4mm / ((0.5mm / t) / 100%)) * (152.4mm / 0.33mm) = 273600 seconds

(Solving for t gives: 0.637698)

10 years, 4 months ago

jo3d - Hello @mnutsch! I'm entering this conversation very late, but I was wondering if there was any further progress on this idea (i.e. empirical studies). It would be nice to know roughly what the print time will be before slicing the model. Thank you!

8 years, 3 months ago

brenden - this is faster than the one at school. started a print in the morning (8-ish), then it is still running at 3:30 and is barely halfway done. *soooooo* slow!

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latoyafoster - It is just more easy an accurate to do this: export your gcode as always, an load it into repetier host. It will give you and estimate. It is usually inside 10/20% accurate.
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