Modulus of Resilience Calculator
Elastic energy a material absorbs per unit volume before yielding.
Note the ฯยฒ โ spring steel at 1,200 MPa stores 23ร the energy of mild steel, with the same E. High strength + low modulus = the ideal spring (hence titanium and FRP leaf springs).
Formula
Modulus of Resilience Calculator is a free modulus of resilience for design engineers, metallurgists and QA inspectors โ instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Modulus of Resilience Calculator
Elastic energy a material absorbs per unit volume before yielding. The calculation implements U_r = ฯ_yยฒ/2E (Materials selection โ Ashby). Note the ฯยฒ โ spring steel at 1,200 MPa stores 23ร the energy of mild steel, with the same E. High strength + low modulus = the ideal spring (hence titanium and FRP leaf springs).
How to use Modulus of Resilience Calculator
- 1Enter Yield strength in MPa (Spring steel: 1,100โ1,900).
- 2Enter E in GPa.
- 3Read Resilience instantly โ no submit button needed.
- 4Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Modulus of Resilience Calculator?
- โImplements the standard formula โ U_r = ฯ_yยฒ/2E
- โReference cited on-page: Materials selection โ Ashby
- โOne-click SI โ Imperial toggle โ values convert in place, physics stays in SI
- โLive worked example: the substitution recomputes from your numbers
- โRuns entirely in your browser โ nothing uploaded, free forever
Frequently asked questions
What formula does the Modulus of Resilience Calculator use?+
It computes U_r = ฯ_yยฒ/2E, per Materials selection โ Ashby. The formula is displayed under the result along with a worked example substituted with your own inputs.
What should I keep in mind when using this calculator?+
Note the ฯยฒ โ spring steel at 1,200 MPa stores 23ร the energy of mild steel, with the same E. High strength + low modulus = the ideal spring (hence titanium and FRP leaf springs).
Where do the material property defaults come from?+
Defaults are standard handbook values (ASM, manufacturer datasheets, the cited standard). Always substitute certified values from your material's test certificate for critical work.
Is the Modulus of Resilience Calculator free to use?+
Yes โ completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
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