125_201+Homework-3-F10+soln

125_201+Homework-3-F10+soln - 125:201 Introduction to...

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125:201 Introduction to Biomedical Engineering Biomechanics, Homework #3 Due Nov 1, 2010 Problem 1: Using this Russell Traction setup ( θ =50 deg), calculate how much weight (F wt ) it would take to fracture the tibia (in tension) assuming nothing else breaks first, and that the cylindrical fibula has a outer diameter of 2.5 cm and an inner diameter of 1.5 cm, an elastic modulus of 20 GPa, and a failure strength of 145 MPa. Calculate the strain at failure. F t F wt F wt θ =50 o θ =50 o wt wt t wt t F F F F F 286 . 1 50 cos 2 0 50 cos 2 = = = ( ) () strain or E kg N F F N F F Pa m r r r r A A F wt wt t t fracture i i t % 725 . 0 00725 . 0 10 20 10 145 3615 35422 286 . 1 45553 10 14 . 3 10 145 10 14 . 3 0075 . 0 0125 . 0 9 6 4 6 2 4 2 2 2 2 0 2 2 0 = × × = = = = = = × = × = × = = = = = σ ε π
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Problem 2: Suppose we found some miscellaneous human tissue in a research freezer, sized 40 mm (long), 5 mm (wide), 2 mm (thick) and decide to test it biomechanically in uniaxial tension at a strain rate of 10%/min to produce a force-deflection curve. Load (N) Gage Length (mm) 0 40.0 3.50 45.0 4.75 50.0 5.50 55.0 5.50 60.0 5.00 65.0 4.00 70.0 3.00 75.0 2.00 (fracture) 80.0 Using this information, calculate/estimate the following: a. Plot the engineering stress-strain curve. b. Determine the Young’s modulus, c. Determine the yield strength (use the 0.2% offset method) d. Determine the Ultimate Tensile Stress e. Determine the Modulus of Resiliency f. Determine the Modulus of Toughness g. Determine the engineering fracture strength. h.
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This note was uploaded on 10/11/2011 for the course BIOMEDICAL 201 taught by Professor Berth during the Fall '10 term at Rutgers.

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125_201+Homework-3-F10+soln - 125:201 Introduction to...

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