Question 3 You are working on a design team at a smalf 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. Q3G: Critical Thinking: What would you propose to your team as the next step in this analysis? Is it reasonable to assume the rod will experience the loading conditions in Table 1?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Table 1: Mechanical behavior of human cadaver tibial bones
during pure torsional loads applied with the proximal tibia
fixed and the torque applied to the distal tibia until there is
bone fracture.
Medial condyle
Tibial tuberosity-
Medial malleolus
-Lateral condyle
Head of fibula
Ti-6Al-4V grade 5
Stainless Steel 316L
Region of bone
resection
-Lateral malleolus
L = 365 mm
Annealed
Annealed
Torque at ultimate failure (bone fracture)
Displacement (twist angle) at ultimate failure
Torsional Stiffness
Table 2: Mechanical properties of candidate materials for the rod.
Material
Process
Yield Strength
(MPa)
880
220-270
Do = 23 mm
Elastic
Modulus (GPa)
115
190
d₁ = 14 mm
Figure 1: Representative tibia bone showing the resection region (blue arrows) and median length (L). A circular cross section of distal tibia
taken at the level of resection) showing the median inner (di) and outer (Do) diameters of the cortical bone. A tibia bone after resection with the
proposed metal solid rod (black line) inserted into the distal tibia and ready for attachment of the prosthetic foot.
Intramedullary
Canal
Ultimate Tensile
Strength (MPa)
950
600-800
Cortical
Bone
40 Nm-216 Nm
5° -12°
10 Nm/° - 55 Nm/°
Ultimate Shear
Strength (MPa)
550
400
1/2L
Transcribed Image Text:Table 1: Mechanical behavior of human cadaver tibial bones during pure torsional loads applied with the proximal tibia fixed and the torque applied to the distal tibia until there is bone fracture. Medial condyle Tibial tuberosity- Medial malleolus -Lateral condyle Head of fibula Ti-6Al-4V grade 5 Stainless Steel 316L Region of bone resection -Lateral malleolus L = 365 mm Annealed Annealed Torque at ultimate failure (bone fracture) Displacement (twist angle) at ultimate failure Torsional Stiffness Table 2: Mechanical properties of candidate materials for the rod. Material Process Yield Strength (MPa) 880 220-270 Do = 23 mm Elastic Modulus (GPa) 115 190 d₁ = 14 mm Figure 1: Representative tibia bone showing the resection region (blue arrows) and median length (L). A circular cross section of distal tibia taken at the level of resection) showing the median inner (di) and outer (Do) diameters of the cortical bone. A tibia bone after resection with the proposed metal solid rod (black line) inserted into the distal tibia and ready for attachment of the prosthetic foot. Intramedullary Canal Ultimate Tensile Strength (MPa) 950 600-800 Cortical Bone 40 Nm-216 Nm 5° -12° 10 Nm/° - 55 Nm/° Ultimate Shear Strength (MPa) 550 400 1/2L
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.
Q3G: Critical Thinking: What would you propose to your team as the next step in this analysis? Is it reasonable to assume the rod
will experience the loading conditions in Table 1?
Transcribed Image Text: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. Q3G: Critical Thinking: What would you propose to your team as the next step in this analysis? Is it reasonable to assume the rod will experience the loading conditions in Table 1?
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