Question:

Larger animals have sturdier bones than smaller animals. A

Last updated: 7/26/2022

Larger animals have sturdier bones than smaller animals. A

Larger animals have sturdier bones than smaller animals. A mouse's skeleton is only a few percent of its body weight, compared to 16% for an elephant. To see why this must be so, recall, that the stress on the femur for a man standing on one leg is 1.4% of the bone's tensile strength. Suppose we scale this man up by a factor of 10 in all dimensions, keeping the same body proportions. (Assume that a 70 kg person has a femur with a cross-section area (of the compact bone) of 4.8 x 10^-4 m², a typical value.) Both the inside and outside diameter of the femur, the region of compact bone, will increase by a factor of 10. What will be the new cross-section area?