How Much Force Can a Human Femur Withstand Before Breaking?

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SUMMARY

The human femur can withstand a compressive force of approximately 51,000,000 Newtons before breaking, based on its compressive strength of 170 x 10^6 N/m² and a minimum effective cross-sectional area of 3.0 cm². The cross-sectional area is calculated as 0.0003 m², which is derived from converting 3.0 cm² to square meters. The formula used for this calculation is Stress = F/A, where A represents the cross-sectional area of the femur.

PREREQUISITES
  • Understanding of compressive strength in materials
  • Familiarity with basic physics equations, specifically Stress = F/A
  • Knowledge of unit conversions, particularly between cm² and m²
  • Basic geometry concepts related to cross-sectional areas
NEXT STEPS
  • Research the properties of bone materials, focusing on compressive strength
  • Explore advanced calculations involving stress and strain in biological tissues
  • Learn about the biomechanics of human bones and their load-bearing capabilities
  • Investigate the impact of various factors on bone strength, such as age and health
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Students studying biology or biomechanics, medical professionals interested in orthopedics, and researchers focusing on material strength in biological systems.

jphillip
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Homework Statement



The Femur bone in the human leg has a minimum effective cross section of about 3.0 cm2 How much compressible force can it withstand before breaking

Homework Equations



Compressive Strength (bone)(N/m2) = 170 x 106
P = F/A

The Attempt at a Solution


Not sure what a cross section is exactly, how should A in formula Stress = F/A be written when they state 3 cm2 cross section.
A = PI*R2

which one do I use for R
A = .0152
A = .03
A = .032

170 x 106 = F / .03m2
 
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The A in the formula is the cross sectional area. The cross section is a "slice" of the object in question. For example, if you cut into an apple, the resulting flat shape you see would be a cross section of the apple.
 
3.0cm^2 * (1m/100cm)^2 = 0.0003m^2 which is the cross sectional area of the bone.
 

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