Human bones have a typical compressive ultimate stress in the transverse directi

Question

Human bones have a typical compressive ultimate stress in the transverse direction of 133 X 10^6 N/m^2, and bovine bones have a typical compressive ultimate stress in the transverse direction of 178 X 10^2 N/m^2. 1) Is a human or a cow more likely to suffer a transverse break in a bone? A human is more likely to suffer a transverse break in a bone. A cow is more likely to suffer a transverse break in a bone. Both, a cow and a human have the similar resistance to a transverse break in a bone. Submit 2) A bone in a woman's leg has an effective cross-sectional area of 3.60 cm^2. If the bone is 39 cm long, how much compressive force can it withstand before breaking? The longitudinal elastic modulus of human bone is about 9.6 X 10 N/m. (Express your answer to three significant figures.) 3) How much will her bone compress if it is subjected to a force one-tenth the magnitude of the force that breaks it? (Express your answer to three significant figures.)

Explanation / Answer

a)

HUman is most lkely to suffer break as the ultimate stress is lesser.

b)

P = F/A

F = P*A =

F = 9.6*10^9*3.6*10^-4 = 34.56*10^5 = 3456 kN

c)

Y = F/A/deltaL/L

deltaL = F/AY * L

delta L = 3.456*10^5/ 3.6*10^-4*9.6*10^9   * 0.39

delta L = 0.039 m = 3.9 cm

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