Using the results obtained from the previous example, calculate the cartilage stress and the change in length of cartilage on the femoral head. Assume that the cross-sectional area of the cartilage is 150 cm², that the elastic modulus for cartilage is 25 MPa, and that the cartilage thickness is 1.5

Question

Using the results obtained from the previous example, calculate the cartilage stress and the change in length of cartilage on the femoral head. Assume that the cross-sectional area of the cartilage is 150 cm², that the elastic modulus for cartilage is 25 MPa, and that the cartilage thickness is 1.5 mm. Also assume that all of the forces acting on the femoral head are transmitted through the cartilage.

Accepted Answer

[latex]\sigma = \frac{F}{A}= \frac{11,011 N}{150 cm^{2}}= 0.734 MPa[/latex]

[latex]\varepsilon = \frac{\sigma }{E}= \frac{0.734 MPa}{25 MPa}= 0.029[/latex]

[latex]\Delta l= \varepsilon l= 0.029(1.5 mm)= 0.044 m[/latex]

This suggests that the thickness of the cartilage changes from 1.5 mm to 1.456 mm in thickness.

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