Question 3You are working on a design team at a small orthopaedic firm. Your team is starting to work on a lower limb(foot-ankle) prosthesis for individuals who have undergone foot amputation (bone resection at the distal tibia). You remember hearingabout "osseointegration" in an exciting orthopaedic engineering class you attended at Clemson, so you plan to attach the footprosthesis using a solid metal rod inserted into the distal tibia. You think stainless steel or titanium alloy might be a useful rod material.You decide to begin this problem by identifying typical tibial bone anatomy and mechanical behavior (as provided in the tables andimage below). You assume the tibial bone can be modeled as a hollow cylinder of cortical bone, as represented in the image. Youanticipate the length of the rod will be 1/2 the length of the tibia.Q3C-F: You decide to confirm the solid metal rod can endure the magnitudes of torque and displacement that can cause tibia bonefracture (Table 1).C-D: Calculate the minimum and maximum torsional shear stresses if those loading conditions were applied to the rod.E-F: Calculate the minimum and maximum torsional shear strains if those loading conditions were applied to the rod. Table 1: Mechanical behavior of human cadaver tibial bonesduring pure torsional loads applied with the proximal tibiafixed and the torque applied to the distal tibia until there isbone fracture.Medial condyleTibial tuberosity-Medial malleolus-Lateral condyleHead of fibulaTi-6Al-4V grade 5Stainless Steel 316LRegion of boneresection-Lateral malleolusL = 365 mmAnnealedAnnealedTorque at ultimate failure (bone fracture)Displacement (twist angle) at ultimate failureTorsional StiffnessTable 2: Mechanical properties of candidate materials for the rod.MaterialProcessYield Strength(MPa)880220-270Do = 23 mmElasticModulus (GPa)115190d₁ = 14 mmFigure 1: Representative tibia bone showing the resection region (blue arrows) and median length (L). A circular cross section of distal tibiataken at the level of resection) showing the median inner (di) and outer (Do) diameters of the cortical bone. A tibia bone after resection with theproposed metal solid rod (black line) inserted into the distal tibia and ready for attachment of the prosthetic foot.IntramedullaryCanalUltimate TensileStrength (MPa)950600-800CorticalBone40 Nm-216 Nm5° -12°10 Nm/° - 55 Nm/°Ultimate ShearStrength (MPa)5504001/2L

Given data:Outer Radius = Do = 23 mm = 0.023 mInner Radius = Di = 14 mm = 0.014 mTorque at…

Question 3 You are working on a design team at a small orthopaedic firm. Your team is starting to work on a lower limb (foot-ankle) prosthesis for individuals who have undergone foot amputation (bone resection at the distal tibia). You remember hearing about "osseointegration" in an exciting orthopaedic engineering class you attended at Clemson, so you plan to attach the foot prosthesis using a solid metal rod inserted into the distal tibia. You think stainless steel or titanium alloy might be a useful rod material. You decide to begin this problem by identifying typical tibial bone anatomy and mechanical behavior (as provided in the tables and image below). You assume the tibial bone can be modeled as a hollow cylinder of cortical bone, as represented in the image. You anticipate the length of the rod will be 1/2 the length of the tibia. Q3C-F: You decide to confirm the solid metal rod can endure the magnitudes of torque and displacement that can cause tibia bone fracture (Table 1). C-D: Calculate the minimum and maximum torsional shear stresses if those loading conditions were applied to the rod. E-F: Calculate the minimum and maximum torsional shear strains if those loading conditions were applied to the rod.

Question 3 You are working on a design team at a small orthopaedic firm. Your team is starting to work on a lower limb (foot-ankle) prosthesis for individuals who have undergone foot amputation (bone resection at the distal tibia). You remember hearing about "osseointegration" in an exciting orthopaedic engineering class you attended at Clemson, so you plan to attach the foot prosthesis using a solid metal rod inserted into the distal tibia. You think stainless steel or titanium alloy might be a useful rod material. You decide to begin this problem by identifying typical tibial bone anatomy and mechanical behavior (as provided in the tables and image below). You assume the tibial bone can be modeled as a hollow cylinder of cortical bone, as represented in the image. You anticipate the length of the rod will be 1/2 the length of the tibia. Q3C-F: You decide to confirm the solid metal rod can endure the magnitudes of torque and displacement that can cause tibia bone fracture (Table 1). C-D: Calculate the minimum and maximum torsional shear stresses if those loading conditions were applied to the rod. E-F: Calculate the minimum and maximum torsional shear strains if those loading conditions were applied to the rod.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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