Solid Mechanics questions - A new challenge

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Discussion Overview

The discussion revolves around a set of solid mechanics questions posed as a homework challenge. Participants are seeking to solve these questions to enhance their understanding of the course material, focusing on concepts related to stiffness matrices and material properties.

Discussion Character

  • Homework-related
  • Exploratory

Main Points Raised

  • One participant inquires about expressing E'1111 and considers whether to use a transition formula, indicating uncertainty about the approach.
  • Another participant notes that the solution does not involve trigonometric functions, suggesting a specific direction without revealing details.
  • A participant proposes that E'1111 should equal E1111, based on the assumption that the stiffness matrix E remains unchanged across different systems.
  • Another participant agrees with the previous claim, citing the isotropic nature of the material as a supporting reason.
  • A participant expresses concern that no peers have made progress on the question, highlighting the challenge it presents.

Areas of Agreement / Disagreement

There is some agreement regarding the relationship between E1111 and E'1111, particularly in the context of isotropic materials. However, the overall discussion reflects uncertainty and varying levels of understanding about the problem at hand.

Contextual Notes

Participants have not fully resolved the mathematical steps involved in expressing E'1111, and there may be assumptions about the isotropic nature of the material that are not explicitly stated.

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Solid Mechanics questions - A new challenge :)

Hi all :wink:

I got 3 new questions that need to be solved in about 3-4 days as part of a 'challenge' homework. Those who solve correctly will basically get their names read out loud on the next lecture but I do it to understand the material of the course

First Question:

http://up185.siz.co.il/up3/n2i5uwddmczo.jpg

I first tried to write all that I think that has to do with the questions, expressions that I learned and think that I'll use.
Then I thought of first expressing E1111 but then I figured there's no need to.
How do I express E'1111 ? do I use the last formula (transition formula) first?
 
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The solution doesn't involve any sines or cosines (or trigonometry at all). It's hard to say more without giving the "Aha!" away.
 


My thoughts are that I should find E1111 and then E'1111 will be equal to E1111 since the stiffness matrice E does not change from one system to another (?)
 


Agreed, because the material is isotropic.
 


Thanks!
Now for the more challenging part:

3ejyngnz22mw.jpg


I haven't met any student in my semseter that managed to get any progress in that question yet.
 


help, anyone ?
 

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