Question

The tibia is the shin bone in humans. If the maximum strain it can experience before fracturing corresponds to a 1.2% change in length, what is the maximum force that can be applied to a tibia of cross-sectional area 3 cm2 before fracturing? Assume the Young's modulus for the tibia is E = 1.40 x 1010 N/m2. Note: kN = kilonewtons. Select one: a. 0.5 kN b. 5.0 KN c. 50.4 kN d. 504.0 kN

Answer 1

The Young's modulus is

$E=\frac{FL}{\Delta L*A}$

$1.40*10^{10}=\frac{FL}{0.012L*3*10^{-4}}$

$F=0.0504*10^{6}N$

$F=50.4*10^{3}N$

F = 50.4KN

option (c) is correct