A human femur undergoes bending and axial loading as shown below. The femur can be modeled as an sotropic linear elastic material with a Young's modulus of 20 GPa, an outer diameter of 2.5 cm, and an inner diameter of 1.5 cm. 2 cm A F F В Plot the stress distribution at the cross-sectional plane defined by points A and B. Label a) the neutral axis and which side is in tension or compression. Do not provide stress magnitudes. b) (Recall: for this case, stress and strain are linearly related by one material constant.) If point A experiences strain of magnitude 91 µm/m, determine the magnitude of force F. c) section is now a circle rather than an annulus. Determine the new strain experienced at point A. Assume the force F and cross-sectional area are unchanged from (b), but the bone cross

Human Anatomy & Physiology (11th Edition)
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Chapter1: The Human Body: An Orientation
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A human femur undergoes bending and axial loading as shown below. The femur can be modeled as an
isotropic linear elastic material with a Young's modulus of 20 GPa, an outer diameter of 2.5 cm, and an
inner diameter of 1.5 cm.
y
2 cm
A
F
F
В
а)
the neutral axis and which side is in tension or compression. Do not provide stress magnitudes.
Plot the stress distribution at the cross-sectional plane defined by points A and B. Label
b)
(Recall: for this case, stress and strain are linearly related by one material constant.)
If point A experiences strain of magnitude 91 um/m, determine the magnitude of force F.
c)
section is now a circle rather than an annulus. Determine the new strain experienced at point A.
Assume the force F and cross-sectional area are unchanged from (b), but the bone cross
Transcribed Image Text:A human femur undergoes bending and axial loading as shown below. The femur can be modeled as an isotropic linear elastic material with a Young's modulus of 20 GPa, an outer diameter of 2.5 cm, and an inner diameter of 1.5 cm. y 2 cm A F F В а) the neutral axis and which side is in tension or compression. Do not provide stress magnitudes. Plot the stress distribution at the cross-sectional plane defined by points A and B. Label b) (Recall: for this case, stress and strain are linearly related by one material constant.) If point A experiences strain of magnitude 91 um/m, determine the magnitude of force F. c) section is now a circle rather than an annulus. Determine the new strain experienced at point A. Assume the force F and cross-sectional area are unchanged from (b), but the bone cross
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