Is there a way to measure the structural strength of a connection?

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I'm designing a very large spacecraft, and I'd like to attach an arm to the spacecraft.
Is there a way to measure just how strong the attachment is?
In engineering terms, this arm is a cantilever beam, and I'd like to know how much load it can take on the end before it breaks off.
To attach this arm to the spacecraft:
- only stock parts may be used (no mods), and
- the arm can be added to the spacecraft in the assembly building.
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Structural Supports and Connections - A Brief Explanation
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