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1-Visitor
Aug 16, 2025 9:45 PM UTC
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Fracture Mechanics Units Question

Hi everyone,

I wanted to share an issue I ran into while working on stress intensity factor () calculations in Mathcad, and see if anyone has advice on how to resolve it. When I calculated , Mathcad returned results with strange units: ΔK(a0) = 6.013×10^6 lb / (ft^0.5·s^2). That term in the denominator makes no sense — stress intensity factor units should be something like ksi√in (force / length^1.5), with no time dimensions.

It seems that Mathcad is treating lb as pound-mass (lbm) instead of pound-force (lbf). Because of that, it introduces extra time units through when it tries to reconcile the dimensions. This appears to be why an is showing up in the denominator. Even after trying to redefine lb as lbf in my worksheet, Mathcad still seems to carry the time unit into the result. I can’t just delete the s^2 term — it keeps reappearing.

Has anyone else run into this issue where Mathcad sneaks in an term when working with fracture mechanics equations? How do you properly set up your units (lb, lbf, psi, ksi, etc.) so that comes out cleanly in ksi√in? Any tips, tricks, or best practices would be hugely appreciated.

terryhendicott
21-Topaz II
Aug 16, 2025 9:56 PM UTC

Hi,

Mathcad displays units when calculated in the base units USCS.

Just type in the units you want.

Capture.JPG 

3 replies

terryhendicott
21-Topaz II
Aug 16, 2025 9:56 PM UTC

Hi,

Mathcad displays units when calculated in the base units USCS.

Just type in the units you want.

Capture.JPG 

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23-Emerald I
Aug 17, 2025 11:03 AM UTC

Since I can remember Mathcad has had both lb and lbm as units of mass.  

Fred_Kohlhepp_0-1755428441108.png

If you want a pound of force, you can have it.  I usually don't use "lb" by itself to avoid this confusion.

 

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14-Alexandrite
Aug 18, 2025 2:55 AM UTC

This is exactly my practice with Mathcad, as well as in the few hand calcs that I now do.

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