Formula for bending a rod in the elastic range

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SUMMARY

The discussion focuses on calculating the minimum bending radius for a rod made of HDPE (High-Density Polyethylene) with a diameter of 1/4 inch, utilizing its modulus of elasticity of 0.8 GPa. Participants emphasize that additional parameters, such as the rod's length and the specific bending conditions, are necessary to derive an accurate formula. The consensus is that a precise formula exists but requires comprehensive material properties and geometric considerations to ensure the rod remains in the elastic range during bending.

PREREQUISITES
  • Understanding of material properties, specifically modulus of elasticity.
  • Knowledge of geometric principles related to bending and deformation.
  • Familiarity with HDPE characteristics and its mechanical behavior.
  • Basic grasp of elastic versus plastic deformation concepts.
NEXT STEPS
  • Research the formula for calculating bending radius in elastic materials.
  • Explore the mechanical properties of HDPE in detail.
  • Learn about the effects of length and diameter on bending behavior.
  • Investigate the differences between elastic and plastic deformation in materials.
USEFUL FOR

Mechanical engineers, materials scientists, and anyone involved in the design and analysis of structural components made from polymers.

pistorinoj
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Is there a formula to calculate the radius that a rod of a given radius can be bent around while staying in the elastic range?

For example, if I had a rod that was 1/4" in diameter and made of HDPE (which I think has a modulus of elasticity of 0.8 GPa), how would I calculate the minimum radius the rod could be bent around while still staying in the elastic range so that it could be unwound without deformation?
 
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I think the answer to your question would need more information than just the modulus.

<Moderator's note: removed advice to post in ME after moving the thread to ME.>
 
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