Question

Three materials a) long bone, b) dentin, and c) knee meniscus has Young's modulus of 20,000, 2,000, and 200 MPa, respectively.how much strain energy is stored in each of these material per unit volume, if they are exposed to a stress of 40 mpa

Answer 1

Step-by-step explanation:

The strain energy per unit volume (u) of a material can be calculated using the following formula:

u = (σ^2) / (2 × E)

where σ is the stress applied to the material, and E is the Young's modulus of the material.

For the three materials given in the problem, with a stress of 40 MPa, the strain energy per unit volume would be:

a) For long bone:

E = 20,000 MPa

u = (40 MPa)^2 / (2 x 20,000 MPa) = 0.04 MPa

Therefore, the strain energy per unit volume of long bone when exposed to a stress of 40 MPa is 0.04 MPa.

b) For dentin:

E = 2,000 MPa

u = (40 MPa)^2 / (2 x 2,000 MPa) = 0.4 MPa

Therefore, the strain energy per unit volume of dentin when exposed to a stress of 40 MPa is 0.4 MPa.

c) For knee meniscus:

E = 200 MPa

u = (40 MPa)^2 / (2 x 200 MPa) = 0.4 MPa

Therefore, the strain energy per unit volume of knee meniscus when exposed to a stress of 40 MPa is 0.4 MPa.

So, the strain energy per unit volume of long bone, dentin, and knee meniscus when exposed to a stress of 40 MPa is 0.04 MPa, 0.4 MPa, and 0.4 MPa, respectively.