Young's Modulus: Formula for Calculation

  • Context: High School 
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Discussion Overview

The discussion centers on the calculation of Young's Modulus, particularly in relation to systems that may involve configurations similar to resistances in series and parallel. Participants explore the application of Hooke's Law and seek clarification on how to derive an effective Young's Modulus in different scenarios.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about a formula for calculating Young's Modulus in systems analogous to resistances in series and parallel.
  • Another participant suggests that Hooke's Law can be applied, noting that when samples are arranged end-to-end, their displacements add, while side-by-side arrangements result in additive forces.
  • A subsequent post reiterates the application of Hooke's Law and expresses confusion regarding how this leads to an effective Young's Modulus.
  • One participant asserts that if the material is the same, Young's Modulus remains unchanged as it is a normalized property.
  • A later post seeks further clarification on expressing Young's Modulus in terms of displacement and force, hinting at the need to relate it to stress and strain.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the calculation of effective Young's Modulus, with some asserting that it does not change for the same material, while others seek further clarification on the topic. The discussion remains unresolved with multiple viewpoints presented.

Contextual Notes

There are unresolved aspects regarding the assumptions made about material properties and configurations, as well as the mathematical expressions needed to relate Young's Modulus to stress and strain.

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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