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 A) Plot the stress distribution at the cross-sectional plane defined by points A and B. Label the neutral axis and which side is in tension or compression. Do not provide stress magnitudes. B) If point A experiences strain of magnitude 91 μm/m, determine the magnitude of force F. (Recall: for this case, stress and strain are linearly related by one material constant.) C) Assume the force F and cross-sectional area are unchanged from (b), but the bone cross section is now a circle rather than an annulus. Determine the new strain experienced at point A.
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 A) Plot the stress distribution at the cross-sectional plane defined by points A and B. Label the neutral axis and which side is in tension or compression. Do not provide stress magnitudes. B) If point A experiences strain of magnitude 91 μm/m, determine the magnitude of force F. (Recall: for this case, stress and strain are linearly related by one material constant.) C) Assume the force F and cross-sectional area are unchanged from (b), but the bone cross section is now a circle rather than an annulus. Determine the new strain experienced at point A.
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
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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
A) Plot the stress distribution at the cross-sectional plane defined by points A and B. Label the neutral axis and which side is in tension or compression. Do not provide stress magnitudes.
B) If point A experiences strain of magnitude 91 μm/m, determine the magnitude of force F. (Recall: for this case, stress and strain are linearly related by one material constant.)
C) Assume the force F and cross-sectional area are unchanged from (b), but the bone cross section is now a circle rather than an annulus. Determine the new strain experienced at point A.
Transcribed Image Text:y
2 сm
A
F
F
B
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