How Do You Calculate Roller Separation for Elastic Recovery in Rolling Mills?

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SUMMARY

The calculation of roller separation for elastic recovery in rolling mills involves determining the necessary gap between rollers to achieve a final thickness of 4 cm, accounting for elastic deformation. Given a yield strength of 60 MPa and a modulus of elasticity of 124 GPa, the elastic strain can be calculated using the formula: elastic strain = yield strength / modulus of elasticity. The elastic deformation must be subtracted from the final thickness to establish the roller separation, ensuring it is less than 4 cm to accommodate the material's elastic recovery.

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  • Understanding of elastic and plastic deformation principles
  • Familiarity with yield strength and modulus of elasticity concepts
  • Basic knowledge of rolling mill operations
  • Ability to perform calculations involving strain and deformation
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Mechanical engineers, materials scientists, and manufacturing professionals involved in metal forming processes and rolling mill operations will benefit from this discussion.

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No idea where to start with this one, any help is much appreciated...

"A metal plate needs to be reduced to a thickness of 4 cm by involving a rolling mill. After rolling, the elastic properties of the material cause the plate to regain some thickness. Calculate the needed separation between the two rollers when the yield strength of the material after plastic deformation is 60MPa and modulus of elasticity is 124GPa."
 
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Calcuate the elastic strain from the yield stength and elastic modulus.

Then calculate the amount of elastic deformation (recovery) in 4 cm. The separation has to be less than final thickness because the elastic deformation is recovered.
 
Great, thank you.
 

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