Calculate Maximum Bending Stress and Strain in Cortical Bone Segment
What is the maximum bending stress magnitude in the cortical bone segment? What are the maximum compression and tension strains in the bone segment?
To calculate the maximum bending stress in a hollow cylindrical bone subjected to bending, use the formula for bending stress and substitute relevant values. Given: σ = M*c/I Where σ is the bending stress, M is the bending moment, c is the distance from the neutral axis to the outer fiber, and I is the moment of inertia. Moment of Inertia (I) = π/64 * (d₀⁴-dᵢ⁴) Substitute the values into the bending stress formula to find the maximum bending stress magnitude. From linear elasticity theory, the strain E in the bone can be given as σ/E, where σ is stress and E is Young's modulus. The maximum compression and tension strains can be obtained using the stress values calculated above.Maximum Bending Stress Calculation
Formula for Bending Stress:
Maximum Compression and Tension Strain
Explanation
The bending stress in a beam can be determined using the formula for bending stress for a cylindrical structure σ = M*c/I. Where φ is the shape factor, M is the bending moment, I is the moment of inertia, and c is the distance from the neutral axis to the point of interest.
For a hollow cylinder, the shape factor φ=1. The Moment of Inertia (I) is calculated as π/64 * (d₀⁴-dᵢ⁴).
Substitute the given values into the formula for bending stress to obtain the maximum bending stress magnitude.
From linear elasticity theory, the strain E in the bone can be given as σ/E, where σ is stress and E is Young's modulus. The values for maximum compression and tension strains can be obtained from this.