Hello, I'm trying to follow along with the stress analysis derivation for flywheels given here, but I'm stuck at the point where it says:(adsbygoogle = window.adsbygoogle || []).push({});

2⋅σ_{t}⋅δ_{r}sin(1/2⋅δθ) + σ_{r}δθ - (σ_{r}+ δσ_{r}) (r + σ_{r})θδθ = ρr^{2}ω^{2}δr ⋅δθ

in the limit reduces to:

[tex]σ_t- σ_r - r⋅\frac{dσ_r}{dr}= \rho⋅r^2 ω^2[/tex]

I'm a little rusty on limits and how to perform them. If you follow the link, there's a pretty good drawing of the differential element which explains equation 1. I'm just not sure how to get equation 2.

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# Stress Analysis for Flywheel

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