BE330 Project

# BE330 Project - Kyle Harbison CM 1090 BE-330-01 Bone...

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Kyle Harbison CM 1090 BE-330-01 Bone Bending Project 2/02/2009

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Introduction In order to reinforce the concepts of bending and torsion related stresses in long bones, we were assigned a project to analyze 10 slices of Tibia bone. The objectives of this project were to: 1) Determine the centroid of the bone in each Tibial slice in pixels. 2) Determine the Ixx, Iyy, and J of each of the Tibial slices relative to the axis of rotation (centroid). 3) Evaluate situation for slice #4 as if it were modeled as a hollow cylinder of outer radius=1.5cm and inner radius=1.0cm. Re-examine Ixx,Iyy and J and determine how “off” this approximation for the cross-sectional shape of the long bone is. 4) Draw a free body diagram for the three loading cases, indicating how bending moment and torque applied to each of the Tibial sections will be applied. 5) Determine maximum stress in each Tibial slice for each loadings noted. 6) Determine maximum stress in hollow cylinder model of slice #4, compare to actual stresses found and discuss. 7) Determine the overall deflection caused by cases 1 and 2, and overall twist caused by case 3. Analysis Given Data Case 1 : Bending about x-axis caused by a pure moment applied to the tibia. (Moment of 10 N-m, similar to that experienced during a clinical exam) Case 2 : Bending about the x-axis caused by a fixed moment applied to the knee (superior Tibia) with the ankle modeled as a pin joint. (Moment of 20 N-m, similar to that experienced during moderate muscle contraction at the knee) Case 3 : Torsion of the tibia about the ‘z’ axis. (Moment of 60 N-m, similar to that experienced if a skier
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## This note was uploaded on 03/25/2010 for the course ME EM330 taught by Professor Stienstra during the Spring '10 term at Rose-Hulman.

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BE330 Project - Kyle Harbison CM 1090 BE-330-01 Bone...

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