# The amount of compressionBone has a Young's modulus of about 18x10^9 Pa under compression, it can withstand a stree of about 160x10^6 Pa before breaking. Assume that of a femur (thighbone) is...

The amount of compression

Bone has a Young's modulus of about 18x10^9 Pa under compression, it can withstand a stree of about 160x10^6 Pa before breaking. Assume that of a femur (thighbone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.

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### 1 Answer

The young's modulus E of the bone is defined as thr ation of tenile stress/ tensile strain. Or

E = tensile stress/tensile strain strain.Or

18*10^9 pa = 160*10^6/ (strain/length of bone)). Therefore,

strain = [160*10^6/(18*10^9)](0.5m)

1/225 m

=0.00444444 m

So the amount of breaking strain is 1/225m or 0.004444m