Solve Biomechanical Question: Modulus of Elasticity (E) in MPa

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SUMMARY

The discussion focuses on calculating the Modulus of Elasticity (E) for a tendon under a specified load. The user correctly applies the formulas for stress and strain, resulting in a calculated E value of 100 MPa. Despite this calculation being accurate, the online homework system indicates the answer is incorrect, prompting the user to seek confirmation from peers. The consensus among respondents is that the calculation is indeed correct, suggesting a potential error in the homework system.

PREREQUISITES
  • Understanding of basic mechanics of materials
  • Familiarity with stress and strain concepts
  • Knowledge of the Modulus of Elasticity formula
  • Ability to convert units (e.g., from N/cm² to Pa)
NEXT STEPS
  • Review the principles of stress and strain in materials science
  • Study the Modulus of Elasticity in different biological tissues
  • Learn about common errors in online homework systems
  • Explore unit conversion techniques in engineering calculations
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This discussion is beneficial for students in biomechanics, materials science, and engineering, particularly those dealing with mechanical properties of biological tissues and online educational platforms.

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Homework Statement



A tendon starts off with an initial length of 10 cm and a cross-sectional area of 0.1 cm^2. A force of 100 N is applied, which stretches the ligament to a new length of 11 cm. What is the Modulus of Elasticity (E) for this ligament (in MPa)?

Homework Equations



Stress = Force/Area
Strain = Change in Length/Original Length
E = Stress/Strain


The Attempt at a Solution



I tried this and my online homework solution tells me it is wrong. So I'll let you know what I did, and hopefully you guys can tell me if it looks right to you.

Stress = Force/Area = 100N/0.1cm^2 = 1000N/cm^2 (or if you want 10,000,000 N/m^2 same as 10,000,000 Pa)

Strain = Change in Length/Original Length = 1cm/10cm = 0.1

E = Stress/Strain = (10,000,000 Pa)/ 0.1 = 100,000,000 Pa or 100 MPa.

So my answer was 100 MPa. It says this is wrong...any ideas where I might have gone wrong, or is this correct? I am thinking of challenging it with the instructor because if you all think I got the right answer too, it might just be a mistake in the system.

Thanks for your help!
 
Last edited:
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Bug in the system. Your answer is correct.
 
Thanks for the quick reply. I will have a chat with my instructor today.
 

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