Question

if a compressive force of 3.3x10^4 N is exerted on the end of a 22 cm long bone of cross-sectional area 3.6 cm^2 a) will the bone break and b) if not, how much does it shorten?

the problem diesnt give it, but when i looked it up on the internet, the tensile strength of bone is 150MPa and teg tensile strain is 0.02.

Answer 1

Pressure applied on bone is given by,

so, putting all values here in SI units,we get pressure,

P=91.6 MPa

b)

Constant of elasticity = (tensile stress) / (tensile strain)

So, for this bone we calculate it is,

So,

K= APPLIED STRESS / STRAIN

So we get strain in bone is,

STRAIN= APPLIED STRESS / K

Now,

l is length of bone so from here we get change in the length of bone

So, the length of bone is shorten by this much amount.