Biomaterials05_BiomechanicsII

# Biomaterials05_BiomechanicsII - EBME 105: Biomaterials...

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EBME 105: EBME 105: Biomaterials Biomaterials November 9, 2007 November 9, 2007 Biomechanics II Biomechanics II Christopher J. Christopher J. Hernandez Hernandez Glennan 615A Glennan 615A (216)-368-6441 (216)-368-6441 christopher.hernandez@cas christopher.hernandez@cas e.edu e.edu

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Dimensional Analysis Galileo understood stress and related it to weight Body weight Length 3 Stress Length 2 2X size -> 8 times weight 2X size -> 4 times strength ENGR 225
Dimensional Analysis To perform a dimensional analysis convert components into primary dimensions: Stress Strain Energy Density Combine useful parameters to generate non- dimensional parameter [F][A] -1 = [F][L] -2 =[m][t] -2 [L] -1 [L][L] -1 = Non dimensional Joule = [F][L]=[m][t] -2 [m][L] -3 ENGR 225

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Dimensional Analysis Fluid Mechanics Fluid Velocity (V) Fluid density ( ρ ) Characteristic Length (L) Fluid Viscosity ( μ ) Reynold’s Number = ρ VL/ μ ENGR 225
Types of Loading Axial:  tension   compression Bending:  tension and compression – due to a bending  moment Torsion:   shear - due to two forces acting as a couple  about an axis of twist

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Bending A.H. Burstein and T.M. Wright, Fundamentals of  Orthopaedic Biomechanics
Torsion Shear modulus, G:   τ  = G γ (analogous to E:   σ  = E ε )

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Mechanical Behavior of Structures Recall that the deformation of a structure depends
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Biomaterials05_BiomechanicsII - EBME 105: Biomaterials...

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