Young's Modulus: Formula for Calculation

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SUMMARY

The discussion centers on calculating Young's Modulus using Hooke's Law, emphasizing its application in systems with components arranged in series and parallel. When materials are aligned end-to-end, their displacements combine, while forces add when arranged side-by-side. The effective Young's Modulus remains constant for identical materials, as it is normalized. Participants seek clarity on expressing Young's Modulus in terms of displacement and force, with a suggestion to first express it in terms of stress and strain.

PREREQUISITES
  • Understanding of Hooke's Law
  • Knowledge of stress and strain concepts
  • Familiarity with material properties
  • Basic principles of mechanics
NEXT STEPS
  • Research the derivation of Young's Modulus from stress and strain
  • Explore applications of Hooke's Law in engineering
  • Study the effects of material arrangement on mechanical properties
  • Learn about composite materials and their effective Young's Modulus
USEFUL FOR

Students of physics and engineering, material scientists, and professionals involved in mechanical design and analysis will benefit from this discussion.

phymatter
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is there a formula to calculate the young modulous of a system like for resistances in series and parallel ?
 
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Yes, by using Hooke's Law. When samples are placed end-to-end, their displacements add; side-by-side, the forces add.
 
Mapes said:
Yes, by using Hooke's Law. When samples are placed end-to-end, their displacements add; side-by-side, the forces add.

thanks mapes ! but how will this give effective young's modulous ?
i am a bit confused , please help !
 
if its the same material then Young's Modulus won't change since it is normalized.
 
phymatter said:
thanks mapes ! but how will this give effective young's modulous ?
i am a bit confused , please help !

How do you express Young's modulus in terms of displacement and force? (Hint: express it in terms of stress and strain first.)
 

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