How do I calculate the energy density of a main-spring?

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SUMMARY

The calculation of energy density for main-springs, such as those found in clocks or motor-springs, requires understanding material properties and applying the correct formulas. Key resources include the Engineering Toolbox for material properties and specific examples like the SDP/SI motor-spring. To accurately measure energy density, one must consider the breaking point of materials, especially when experimenting with composites. The discussion emphasizes the need for mechanical engineering principles, particularly in calculating spring constants and material limits.

PREREQUISITES
  • Understanding of mechanical engineering principles
  • Familiarity with material properties and their measurements
  • Knowledge of energy density calculations
  • Experience with spring mechanics and constants
NEXT STEPS
  • Research the formula for energy density in springs
  • Study material properties relevant to steel and composites
  • Learn about measuring breaking points and spring constants
  • Explore the mechanics of beam deflection and its application to spring design
USEFUL FOR

Mechanical engineers, materials scientists, and hobbyists interested in spring design and energy density calculations will benefit from this discussion.

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Homework Statement



How do I calculate the energy density of either a main-spring (like in a clock) or a motor-spring?
Can someone show me values put into the correct formula for something like e.g. steel?

I did find some material properties like this: http://www.engineeringtoolbox.com/yo...lus-d_417.html

The motor-spring I am interested in is a type like this: http://www.sdp-si.com/Gateway/D220-T183.htm


Secondly, I would like to experiment with various materials (composites especially). If I make a plank of this material, how can I measure its properties to be able to put it into the correct formula for energy density of such a spring (if made into a spring)? I would have to take into account the breaking-point of the material of course (i.e. I bend the plank and at some point it either snaps or buckles).

I did study mech. engineering for a coupple of years but it is 20 years ago and I am rusty ;-)
I have googled and read a lot but am still stuck. Most stuff only relates to compression-springs but I need to work out spring constant of basically a beam (?) and not sure of to work out the breaking point (of the clockspring) when I know that a certain material will snap when it is deflected a certain amount.



Homework Equations





The Attempt at a Solution




Thanks and Regards,
 
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