SUMMARY
The Young's modulus of human bone is established at 1010 N/m2, with a fracture threshold occurring at a compressive strain exceeding 1%. For a bone with a cross-sectional area of 3 cm2, the maximum load it can sustain is calculated using the formula F = Y * (change in length/original length) * cross-sectional area. The correct calculation yields a maximum load of 30,000 Newtons, confirming that the initial confusion regarding unit conversion and the modulus value was clarified during the discussion.
PREREQUISITES
- Understanding of Young's modulus and its application in material science
- Knowledge of basic mechanics, specifically force and strain calculations
- Familiarity with unit conversions, particularly between cm2 and m2
- Proficiency in algebraic manipulation of equations
NEXT STEPS
- Study the principles of material mechanics, focusing on Young's modulus
- Learn about unit conversions in physics, especially for area and force
- Explore the implications of strain and stress in biological materials
- Investigate the mechanical properties of different types of bone and their applications in biomedical engineering
USEFUL FOR
This discussion is beneficial for students studying biomechanics, material science, and engineering, as well as professionals involved in orthopedic research and development.