   Chapter 9, Problem 71P

Chapter
Section
Textbook Problem

Bone has a Young’s modulus of 18 × 109 Pa. Under compression, it can will island a stress or about 160 × 106 Pa before breaking. Assume that a femur (thigh bone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.

To determine
The amount of compression of the femur before its breaking.

Explanation
Yong’s modulus is defined as Y=stress/strain=(F/A)/(ΔL/L0) and from which, the increase in length of that wire is calculated as ΔL=[(F/A)L0]/Y .

Given info: The stress on the bone is 1.60×106Pa , Young’s modulus of the bone is 18×109Pa , and the length of the bone is 0.50m .

The formula for the compression of the femur is,

ΔL=(F/A)YL0

• F/A is stress of the bone.
• L0 is length of the wire

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