We are investigating the forces required to damage a shoulder joint. We model th

Question

We are investigating the forces required to damage a shoulder joint. We model the shoulder joint and humorous as a circular cross-section bar of bone connected to a fixed surface via a circular crosssection portion of cartilage (see figure). The material properties of bone and cartilage are tabulated below.

Please explain and show work, thank you!

9. We are investigating the forces required to damage a shoulder joint. We model the shoulder ioint and humorous as a circular cross-section bar of bone connected to a fixed surface via a circular cross-section portion of cartilage (see figure). The material properties of bone and cartilage are tabulated below Yield Stren 80 50 Pa) Ultimate Stren 100 70 a) Young's Modulus (GPa Bone 20 Cartilage If you apply a tensile force, F, (as drawn in figure) to the arm, what is the stress at point A, B, C, D? What is the maximum tensile force, Fmax, that the arm can support before the shoulder cartilage plastically deforms If you apply the Fmax/2, as determined in b, what is the strain at point A, B, C, D? What is the total length change from the shoulder (point S) to the elbow (point E) under the force calculated in part c. If you want the bone to break (facture) before the cartage yields, which bone dimension must you change? By how much? a. b. c. d. e. Dimensions of bars Section RadiusLength cm cm 2 0.5 CARTILAGE 2 21 Ex: Sec. A = cartilage from wall to bone Image not to scale

Explanation / Answer

Ans 1) stress at point A,B,C and D is calculated as

Stress = force / area

Stress at point A is

stress = F / (0.5*2) = F/1 = F

point B, Stress = F / 14

point C, stress = F / 42

point D, Stress = F/ 8

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